TSTP Solution File: GRP183-2 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP183-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 : Sat Jul 16 10:37:42 EDT 2022
% Result : Unsatisfiable 84.51s 84.69s
% Output : CNFRefutation 85.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 129
% Number of leaves : 909
% Syntax : Number of clauses : 4277 (2151 unt; 0 nHn;2054 RR)
% Number of literals : 7334 (7333 equ;3059 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 9690 ( 170 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
multiply(identity,X) = X ).
cnf(left_inverse,axiom,
multiply(inverse(X),X) = identity ).
cnf(associativity,axiom,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ).
cnf(symmetry_of_glb,axiom,
greatest_lower_bound(X,Y) = greatest_lower_bound(Y,X) ).
cnf(symmetry_of_lub,axiom,
least_upper_bound(X,Y) = least_upper_bound(Y,X) ).
cnf(associativity_of_glb,axiom,
greatest_lower_bound(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(greatest_lower_bound(X,Y),Z) ).
cnf(associativity_of_lub,axiom,
least_upper_bound(X,least_upper_bound(Y,Z)) = least_upper_bound(least_upper_bound(X,Y),Z) ).
cnf(idempotence_of_lub,axiom,
least_upper_bound(X,X) = X ).
cnf(idempotence_of_gld,axiom,
greatest_lower_bound(X,X) = X ).
cnf(lub_absorbtion,axiom,
least_upper_bound(X,greatest_lower_bound(X,Y)) = X ).
cnf(glb_absorbtion,axiom,
greatest_lower_bound(X,least_upper_bound(X,Y)) = X ).
cnf(monotony_lub1,axiom,
multiply(X,least_upper_bound(Y,Z)) = least_upper_bound(multiply(X,Y),multiply(X,Z)) ).
cnf(monotony_glb1,axiom,
multiply(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(multiply(X,Y),multiply(X,Z)) ).
cnf(monotony_lub2,axiom,
multiply(least_upper_bound(Y,Z),X) = least_upper_bound(multiply(Y,X),multiply(Z,X)) ).
cnf(monotony_glb2,axiom,
multiply(greatest_lower_bound(Y,Z),X) = greatest_lower_bound(multiply(Y,X),multiply(Z,X)) ).
cnf(p20_1,hypothesis,
inverse(identity) = identity ).
cnf(p20_2,hypothesis,
inverse(inverse(X)) = X ).
cnf(p20_3,hypothesis,
inverse(multiply(X,Y)) = multiply(inverse(Y),inverse(X)) ).
cnf(prove_p20,negated_conjecture,
greatest_lower_bound(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))) != identity ).
cnf(refute_0_0,plain,
multiply(X_66,greatest_lower_bound(X_67,identity)) = greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,identity)),
inference(subst,[],[monotony_glb1:[bind(X,$fot(X_66)),bind(Y,$fot(X_67)),bind(Z,$fot(identity))]]) ).
cnf(refute_0_1,plain,
inverse(multiply(identity,X_23)) = multiply(inverse(X_23),inverse(identity)),
inference(subst,[],[p20_3:[bind(X,$fot(identity)),bind(Y,$fot(X_23))]]) ).
cnf(refute_0_2,plain,
( inverse(multiply(identity,X_23)) != multiply(inverse(X_23),inverse(identity))
| inverse(identity) != identity
| inverse(multiply(identity,X_23)) = multiply(inverse(X_23),identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(identity,X_23)),multiply(inverse(X_23),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_3,plain,
( inverse(multiply(identity,X_23)) != multiply(inverse(X_23),inverse(identity))
| inverse(multiply(identity,X_23)) = multiply(inverse(X_23),identity) ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[p20_1,refute_0_2]) ).
cnf(refute_0_4,plain,
inverse(multiply(identity,X_23)) = multiply(inverse(X_23),identity),
inference(resolve,[$cnf( $equal(inverse(multiply(identity,X_23)),multiply(inverse(X_23),inverse(identity))) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
multiply(identity,X_23) = X_23,
inference(subst,[],[left_identity:[bind(X,$fot(X_23))]]) ).
cnf(refute_0_6,plain,
inverse(multiply(identity,X_23)) = inverse(multiply(identity,X_23)),
introduced(tautology,[refl,[$fot(inverse(multiply(identity,X_23)))]]) ).
cnf(refute_0_7,plain,
( multiply(identity,X_23) != X_23
| inverse(multiply(identity,X_23)) != inverse(multiply(identity,X_23))
| inverse(multiply(identity,X_23)) = inverse(X_23) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(identity,X_23)),inverse(multiply(identity,X_23))) ),[1,0],$fot(X_23)]]) ).
cnf(refute_0_8,plain,
( multiply(identity,X_23) != X_23
| inverse(multiply(identity,X_23)) = inverse(X_23) ),
inference(resolve,[$cnf( $equal(inverse(multiply(identity,X_23)),inverse(multiply(identity,X_23))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
inverse(multiply(identity,X_23)) = inverse(X_23),
inference(resolve,[$cnf( $equal(multiply(identity,X_23),X_23) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
( inverse(multiply(identity,X_23)) != multiply(inverse(X_23),identity)
| inverse(multiply(identity,X_23)) != inverse(X_23)
| inverse(X_23) = multiply(inverse(X_23),identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(identity,X_23)),multiply(inverse(X_23),identity)) ),[0],$fot(inverse(X_23))]]) ).
cnf(refute_0_11,plain,
( inverse(multiply(identity,X_23)) != multiply(inverse(X_23),identity)
| inverse(X_23) = multiply(inverse(X_23),identity) ),
inference(resolve,[$cnf( $equal(inverse(multiply(identity,X_23)),inverse(X_23)) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
inverse(X_23) = multiply(inverse(X_23),identity),
inference(resolve,[$cnf( $equal(inverse(multiply(identity,X_23)),multiply(inverse(X_23),identity)) )],[refute_0_4,refute_0_11]) ).
cnf(refute_0_13,plain,
inverse(inverse(X)) = multiply(inverse(inverse(X)),identity),
inference(subst,[],[refute_0_12:[bind(X_23,$fot(inverse(X)))]]) ).
cnf(refute_0_14,plain,
( inverse(inverse(X)) != X
| inverse(inverse(X)) != multiply(inverse(inverse(X)),identity)
| inverse(inverse(X)) = multiply(X,identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X)),multiply(inverse(inverse(X)),identity)) ),[1,0],$fot(X)]]) ).
cnf(refute_0_15,plain,
( inverse(inverse(X)) != multiply(inverse(inverse(X)),identity)
| inverse(inverse(X)) = multiply(X,identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X)),X) )],[p20_2,refute_0_14]) ).
cnf(refute_0_16,plain,
inverse(inverse(X)) = multiply(X,identity),
inference(resolve,[$cnf( $equal(inverse(inverse(X)),multiply(inverse(inverse(X)),identity)) )],[refute_0_13,refute_0_15]) ).
cnf(refute_0_17,plain,
( inverse(inverse(X)) != X
| inverse(inverse(X)) != multiply(X,identity)
| X = multiply(X,identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X)),multiply(X,identity)) ),[0],$fot(X)]]) ).
cnf(refute_0_18,plain,
( inverse(inverse(X)) != multiply(X,identity)
| X = multiply(X,identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X)),X) )],[p20_2,refute_0_17]) ).
cnf(refute_0_19,plain,
X = multiply(X,identity),
inference(resolve,[$cnf( $equal(inverse(inverse(X)),multiply(X,identity)) )],[refute_0_16,refute_0_18]) ).
cnf(refute_0_20,plain,
X_66 = multiply(X_66,identity),
inference(subst,[],[refute_0_19:[bind(X,$fot(X_66))]]) ).
cnf(refute_0_21,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_22,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_23,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( X_66 != multiply(X_66,identity)
| multiply(X_66,identity) = X_66 ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(X_66)),bind(Y0,$fot(multiply(X_66,identity)))]]) ).
cnf(refute_0_25,plain,
multiply(X_66,identity) = X_66,
inference(resolve,[$cnf( $equal(X_66,multiply(X_66,identity)) )],[refute_0_20,refute_0_24]) ).
cnf(refute_0_26,plain,
( multiply(X_66,greatest_lower_bound(X_67,identity)) != greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,identity))
| multiply(X_66,identity) != X_66
| multiply(X_66,greatest_lower_bound(X_67,identity)) = greatest_lower_bound(multiply(X_66,X_67),X_66) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_66,greatest_lower_bound(X_67,identity)),greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,identity))) ),[1,1],$fot(X_66)]]) ).
cnf(refute_0_27,plain,
( multiply(X_66,greatest_lower_bound(X_67,identity)) != greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,identity))
| multiply(X_66,greatest_lower_bound(X_67,identity)) = greatest_lower_bound(multiply(X_66,X_67),X_66) ),
inference(resolve,[$cnf( $equal(multiply(X_66,identity),X_66) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
multiply(X_66,greatest_lower_bound(X_67,identity)) = greatest_lower_bound(multiply(X_66,X_67),X_66),
inference(resolve,[$cnf( $equal(multiply(X_66,greatest_lower_bound(X_67,identity)),greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,identity))) )],[refute_0_0,refute_0_27]) ).
cnf(refute_0_29,plain,
( greatest_lower_bound(X,Y) != greatest_lower_bound(Y,X)
| greatest_lower_bound(Y,X) = greatest_lower_bound(X,Y) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X,Y))),bind(Y0,$fot(greatest_lower_bound(Y,X)))]]) ).
cnf(refute_0_30,plain,
greatest_lower_bound(Y,X) = greatest_lower_bound(X,Y),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,Y),greatest_lower_bound(Y,X)) )],[symmetry_of_glb,refute_0_29]) ).
cnf(refute_0_31,plain,
greatest_lower_bound(multiply(X_66,X_67),X_66) = greatest_lower_bound(X_66,multiply(X_66,X_67)),
inference(subst,[],[refute_0_30:[bind(X,$fot(X_66)),bind(Y,$fot(multiply(X_66,X_67)))]]) ).
cnf(refute_0_32,plain,
( multiply(X_66,greatest_lower_bound(X_67,identity)) != greatest_lower_bound(multiply(X_66,X_67),X_66)
| greatest_lower_bound(multiply(X_66,X_67),X_66) != greatest_lower_bound(X_66,multiply(X_66,X_67))
| multiply(X_66,greatest_lower_bound(X_67,identity)) = greatest_lower_bound(X_66,multiply(X_66,X_67)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_66,greatest_lower_bound(X_67,identity)),greatest_lower_bound(X_66,multiply(X_66,X_67))) ),[0],$fot(greatest_lower_bound(multiply(X_66,X_67),X_66))]]) ).
cnf(refute_0_33,plain,
( multiply(X_66,greatest_lower_bound(X_67,identity)) != greatest_lower_bound(multiply(X_66,X_67),X_66)
| multiply(X_66,greatest_lower_bound(X_67,identity)) = greatest_lower_bound(X_66,multiply(X_66,X_67)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_66,X_67),X_66),greatest_lower_bound(X_66,multiply(X_66,X_67))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
multiply(X_66,greatest_lower_bound(X_67,identity)) = greatest_lower_bound(X_66,multiply(X_66,X_67)),
inference(resolve,[$cnf( $equal(multiply(X_66,greatest_lower_bound(X_67,identity)),greatest_lower_bound(multiply(X_66,X_67),X_66)) )],[refute_0_28,refute_0_33]) ).
cnf(refute_0_35,plain,
multiply(inverse(greatest_lower_bound(identity,X_67)),greatest_lower_bound(X_67,identity)) = greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),multiply(inverse(greatest_lower_bound(identity,X_67)),X_67)),
inference(subst,[],[refute_0_34:[bind(X_66,$fot(inverse(greatest_lower_bound(identity,X_67))))]]) ).
cnf(refute_0_36,plain,
inverse(multiply(inverse(X_81),greatest_lower_bound(identity,X_81))) = multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81))),
inference(subst,[],[p20_3:[bind(X,$fot(inverse(X_81))),bind(Y,$fot(greatest_lower_bound(identity,X_81)))]]) ).
cnf(refute_0_37,plain,
multiply(inverse(X_67),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(multiply(inverse(X_67),X_67),multiply(inverse(X_67),X_68)),
inference(subst,[],[monotony_glb1:[bind(X,$fot(inverse(X_67))),bind(Y,$fot(X_67)),bind(Z,$fot(X_68))]]) ).
cnf(refute_0_38,plain,
multiply(inverse(X_67),X_67) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(X_67))]]) ).
cnf(refute_0_39,plain,
( multiply(inverse(X_67),X_67) != identity
| multiply(inverse(X_67),greatest_lower_bound(X_67,X_68)) != greatest_lower_bound(multiply(inverse(X_67),X_67),multiply(inverse(X_67),X_68))
| multiply(inverse(X_67),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(identity,multiply(inverse(X_67),X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_67),greatest_lower_bound(X_67,X_68)),greatest_lower_bound(multiply(inverse(X_67),X_67),multiply(inverse(X_67),X_68))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_40,plain,
( multiply(inverse(X_67),greatest_lower_bound(X_67,X_68)) != greatest_lower_bound(multiply(inverse(X_67),X_67),multiply(inverse(X_67),X_68))
| multiply(inverse(X_67),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(identity,multiply(inverse(X_67),X_68)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_67),X_67),identity) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
multiply(inverse(X_67),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(identity,multiply(inverse(X_67),X_68)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_67),greatest_lower_bound(X_67,X_68)),greatest_lower_bound(multiply(inverse(X_67),X_67),multiply(inverse(X_67),X_68))) )],[refute_0_37,refute_0_40]) ).
cnf(refute_0_42,plain,
multiply(inverse(X_73),greatest_lower_bound(X_73,identity)) = greatest_lower_bound(identity,multiply(inverse(X_73),identity)),
inference(subst,[],[refute_0_41:[bind(X_67,$fot(X_73)),bind(X_68,$fot(identity))]]) ).
cnf(refute_0_43,plain,
inverse(X_73) = multiply(inverse(X_73),identity),
inference(subst,[],[refute_0_19:[bind(X,$fot(inverse(X_73)))]]) ).
cnf(refute_0_44,plain,
( inverse(X_73) != multiply(inverse(X_73),identity)
| multiply(inverse(X_73),identity) = inverse(X_73) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(X_73))),bind(Y0,$fot(multiply(inverse(X_73),identity)))]]) ).
cnf(refute_0_45,plain,
multiply(inverse(X_73),identity) = inverse(X_73),
inference(resolve,[$cnf( $equal(inverse(X_73),multiply(inverse(X_73),identity)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( multiply(inverse(X_73),greatest_lower_bound(X_73,identity)) != greatest_lower_bound(identity,multiply(inverse(X_73),identity))
| multiply(inverse(X_73),identity) != inverse(X_73)
| multiply(inverse(X_73),greatest_lower_bound(X_73,identity)) = greatest_lower_bound(identity,inverse(X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_73),greatest_lower_bound(X_73,identity)),greatest_lower_bound(identity,multiply(inverse(X_73),identity))) ),[1,1],$fot(inverse(X_73))]]) ).
cnf(refute_0_47,plain,
( multiply(inverse(X_73),greatest_lower_bound(X_73,identity)) != greatest_lower_bound(identity,multiply(inverse(X_73),identity))
| multiply(inverse(X_73),greatest_lower_bound(X_73,identity)) = greatest_lower_bound(identity,inverse(X_73)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_73),identity),inverse(X_73)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(inverse(X_73),greatest_lower_bound(X_73,identity)) = greatest_lower_bound(identity,inverse(X_73)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_73),greatest_lower_bound(X_73,identity)),greatest_lower_bound(identity,multiply(inverse(X_73),identity))) )],[refute_0_42,refute_0_47]) ).
cnf(refute_0_49,plain,
multiply(inverse(X_75),greatest_lower_bound(X_75,identity)) = greatest_lower_bound(identity,inverse(X_75)),
inference(subst,[],[refute_0_48:[bind(X_73,$fot(X_75))]]) ).
cnf(refute_0_50,plain,
greatest_lower_bound(identity,X_75) = greatest_lower_bound(X_75,identity),
inference(subst,[],[symmetry_of_glb:[bind(X,$fot(identity)),bind(Y,$fot(X_75))]]) ).
cnf(refute_0_51,plain,
( greatest_lower_bound(identity,X_75) != greatest_lower_bound(X_75,identity)
| greatest_lower_bound(X_75,identity) = greatest_lower_bound(identity,X_75) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(identity,X_75))),bind(Y0,$fot(greatest_lower_bound(X_75,identity)))]]) ).
cnf(refute_0_52,plain,
greatest_lower_bound(X_75,identity) = greatest_lower_bound(identity,X_75),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,X_75),greatest_lower_bound(X_75,identity)) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
( multiply(inverse(X_75),greatest_lower_bound(X_75,identity)) != greatest_lower_bound(identity,inverse(X_75))
| greatest_lower_bound(X_75,identity) != greatest_lower_bound(identity,X_75)
| multiply(inverse(X_75),greatest_lower_bound(identity,X_75)) = greatest_lower_bound(identity,inverse(X_75)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_75),greatest_lower_bound(X_75,identity)),greatest_lower_bound(identity,inverse(X_75))) ),[0,1],$fot(greatest_lower_bound(identity,X_75))]]) ).
cnf(refute_0_54,plain,
( multiply(inverse(X_75),greatest_lower_bound(X_75,identity)) != greatest_lower_bound(identity,inverse(X_75))
| multiply(inverse(X_75),greatest_lower_bound(identity,X_75)) = greatest_lower_bound(identity,inverse(X_75)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_75,identity),greatest_lower_bound(identity,X_75)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
multiply(inverse(X_75),greatest_lower_bound(identity,X_75)) = greatest_lower_bound(identity,inverse(X_75)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_75),greatest_lower_bound(X_75,identity)),greatest_lower_bound(identity,inverse(X_75))) )],[refute_0_49,refute_0_54]) ).
cnf(refute_0_56,plain,
multiply(inverse(X_81),greatest_lower_bound(identity,X_81)) = greatest_lower_bound(identity,inverse(X_81)),
inference(subst,[],[refute_0_55:[bind(X_75,$fot(X_81))]]) ).
cnf(refute_0_57,plain,
( multiply(inverse(X_81),greatest_lower_bound(identity,X_81)) != greatest_lower_bound(identity,inverse(X_81))
| inverse(multiply(inverse(X_81),greatest_lower_bound(identity,X_81))) != multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81)))
| inverse(greatest_lower_bound(identity,inverse(X_81))) = multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_81),greatest_lower_bound(identity,X_81))),multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81)))) ),[0,0],$fot(greatest_lower_bound(identity,inverse(X_81)))]]) ).
cnf(refute_0_58,plain,
( inverse(multiply(inverse(X_81),greatest_lower_bound(identity,X_81))) != multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81)))
| inverse(greatest_lower_bound(identity,inverse(X_81))) = multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_81),greatest_lower_bound(identity,X_81)),greatest_lower_bound(identity,inverse(X_81))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
inverse(greatest_lower_bound(identity,inverse(X_81))) = multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_81),greatest_lower_bound(identity,X_81))),multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81)))) )],[refute_0_36,refute_0_58]) ).
cnf(refute_0_60,plain,
inverse(multiply(inverse(X),X_23)) = multiply(inverse(X_23),inverse(inverse(X))),
inference(subst,[],[p20_3:[bind(X,$fot(inverse(X))),bind(Y,$fot(X_23))]]) ).
cnf(refute_0_61,plain,
( inverse(multiply(inverse(X),X_23)) != multiply(inverse(X_23),inverse(inverse(X)))
| inverse(inverse(X)) != X
| inverse(multiply(inverse(X),X_23)) = multiply(inverse(X_23),X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X),X_23)),multiply(inverse(X_23),inverse(inverse(X)))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_62,plain,
( inverse(multiply(inverse(X),X_23)) != multiply(inverse(X_23),inverse(inverse(X)))
| inverse(multiply(inverse(X),X_23)) = multiply(inverse(X_23),X) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X)),X) )],[p20_2,refute_0_61]) ).
cnf(refute_0_63,plain,
inverse(multiply(inverse(X),X_23)) = multiply(inverse(X_23),X),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X),X_23)),multiply(inverse(X_23),inverse(inverse(X)))) )],[refute_0_60,refute_0_62]) ).
cnf(refute_0_64,plain,
inverse(multiply(inverse(X_81),greatest_lower_bound(identity,X_81))) = multiply(inverse(greatest_lower_bound(identity,X_81)),X_81),
inference(subst,[],[refute_0_63:[bind(X,$fot(X_81)),bind(X_23,$fot(greatest_lower_bound(identity,X_81)))]]) ).
cnf(refute_0_65,plain,
( inverse(multiply(X,Y)) != multiply(inverse(Y),inverse(X))
| multiply(inverse(Y),inverse(X)) = inverse(multiply(X,Y)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(multiply(X,Y)))),bind(Y0,$fot(multiply(inverse(Y),inverse(X))))]]) ).
cnf(refute_0_66,plain,
multiply(inverse(Y),inverse(X)) = inverse(multiply(X,Y)),
inference(resolve,[$cnf( $equal(inverse(multiply(X,Y)),multiply(inverse(Y),inverse(X))) )],[p20_3,refute_0_65]) ).
cnf(refute_0_67,plain,
multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81))) = inverse(multiply(inverse(X_81),greatest_lower_bound(identity,X_81))),
inference(subst,[],[refute_0_66:[bind(X,$fot(inverse(X_81))),bind(Y,$fot(greatest_lower_bound(identity,X_81)))]]) ).
cnf(refute_0_68,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_69,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_23,refute_0_68]) ).
cnf(refute_0_70,plain,
( multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81))) != inverse(multiply(inverse(X_81),greatest_lower_bound(identity,X_81)))
| inverse(multiply(inverse(X_81),greatest_lower_bound(identity,X_81))) != multiply(inverse(greatest_lower_bound(identity,X_81)),X_81)
| multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81))) = multiply(inverse(greatest_lower_bound(identity,X_81)),X_81) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81))))),bind(Y0,$fot(inverse(multiply(inverse(X_81),greatest_lower_bound(identity,X_81))))),bind(Z0,$fot(multiply(inverse(greatest_lower_bound(identity,X_81)),X_81)))]]) ).
cnf(refute_0_71,plain,
( inverse(multiply(inverse(X_81),greatest_lower_bound(identity,X_81))) != multiply(inverse(greatest_lower_bound(identity,X_81)),X_81)
| multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81))) = multiply(inverse(greatest_lower_bound(identity,X_81)),X_81) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81))),inverse(multiply(inverse(X_81),greatest_lower_bound(identity,X_81)))) )],[refute_0_67,refute_0_70]) ).
cnf(refute_0_72,plain,
multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81))) = multiply(inverse(greatest_lower_bound(identity,X_81)),X_81),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_81),greatest_lower_bound(identity,X_81))),multiply(inverse(greatest_lower_bound(identity,X_81)),X_81)) )],[refute_0_64,refute_0_71]) ).
cnf(refute_0_73,plain,
( multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81))) != multiply(inverse(greatest_lower_bound(identity,X_81)),X_81)
| inverse(greatest_lower_bound(identity,inverse(X_81))) != multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81)))
| inverse(greatest_lower_bound(identity,inverse(X_81))) = multiply(inverse(greatest_lower_bound(identity,X_81)),X_81) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(X_81))),multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81)))) ),[1],$fot(multiply(inverse(greatest_lower_bound(identity,X_81)),X_81))]]) ).
cnf(refute_0_74,plain,
( inverse(greatest_lower_bound(identity,inverse(X_81))) != multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81)))
| inverse(greatest_lower_bound(identity,inverse(X_81))) = multiply(inverse(greatest_lower_bound(identity,X_81)),X_81) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81))),multiply(inverse(greatest_lower_bound(identity,X_81)),X_81)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
inverse(greatest_lower_bound(identity,inverse(X_81))) = multiply(inverse(greatest_lower_bound(identity,X_81)),X_81),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(X_81))),multiply(inverse(greatest_lower_bound(identity,X_81)),inverse(inverse(X_81)))) )],[refute_0_59,refute_0_74]) ).
cnf(refute_0_76,plain,
inverse(greatest_lower_bound(identity,inverse(X_67))) = multiply(inverse(greatest_lower_bound(identity,X_67)),X_67),
inference(subst,[],[refute_0_75:[bind(X_81,$fot(X_67))]]) ).
cnf(refute_0_77,plain,
( inverse(greatest_lower_bound(identity,inverse(X_67))) != multiply(inverse(greatest_lower_bound(identity,X_67)),X_67)
| multiply(inverse(greatest_lower_bound(identity,X_67)),X_67) = inverse(greatest_lower_bound(identity,inverse(X_67))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(greatest_lower_bound(identity,inverse(X_67))))),bind(Y0,$fot(multiply(inverse(greatest_lower_bound(identity,X_67)),X_67)))]]) ).
cnf(refute_0_78,plain,
multiply(inverse(greatest_lower_bound(identity,X_67)),X_67) = inverse(greatest_lower_bound(identity,inverse(X_67))),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(X_67))),multiply(inverse(greatest_lower_bound(identity,X_67)),X_67)) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
( multiply(inverse(greatest_lower_bound(identity,X_67)),X_67) != inverse(greatest_lower_bound(identity,inverse(X_67)))
| multiply(inverse(greatest_lower_bound(identity,X_67)),greatest_lower_bound(X_67,identity)) != greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),multiply(inverse(greatest_lower_bound(identity,X_67)),X_67))
| multiply(inverse(greatest_lower_bound(identity,X_67)),greatest_lower_bound(X_67,identity)) = greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,X_67)),greatest_lower_bound(X_67,identity)),greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),multiply(inverse(greatest_lower_bound(identity,X_67)),X_67))) ),[1,1],$fot(inverse(greatest_lower_bound(identity,inverse(X_67))))]]) ).
cnf(refute_0_80,plain,
( multiply(inverse(greatest_lower_bound(identity,X_67)),greatest_lower_bound(X_67,identity)) != greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),multiply(inverse(greatest_lower_bound(identity,X_67)),X_67))
| multiply(inverse(greatest_lower_bound(identity,X_67)),greatest_lower_bound(X_67,identity)) = greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,X_67)),X_67),inverse(greatest_lower_bound(identity,inverse(X_67)))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
multiply(inverse(greatest_lower_bound(identity,X_67)),greatest_lower_bound(X_67,identity)) = greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,X_67)),greatest_lower_bound(X_67,identity)),greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),multiply(inverse(greatest_lower_bound(identity,X_67)),X_67))) )],[refute_0_35,refute_0_80]) ).
cnf(refute_0_82,plain,
multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(X_76,X_77)) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(greatest_lower_bound(X_76,X_77)))]]) ).
cnf(refute_0_83,plain,
inverse(multiply(inverse(X_58),multiply(X_58,X_59))) = multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58))),
inference(subst,[],[p20_3:[bind(X,$fot(inverse(X_58))),bind(Y,$fot(multiply(X_58,X_59)))]]) ).
cnf(refute_0_84,plain,
multiply(multiply(inverse(X_56),X_56),X_57) = multiply(inverse(X_56),multiply(X_56,X_57)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_56))),bind(Y,$fot(X_56)),bind(Z,$fot(X_57))]]) ).
cnf(refute_0_85,plain,
multiply(inverse(X_56),X_56) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(X_56))]]) ).
cnf(refute_0_86,plain,
( multiply(multiply(inverse(X_56),X_56),X_57) != multiply(inverse(X_56),multiply(X_56,X_57))
| multiply(inverse(X_56),X_56) != identity
| multiply(identity,X_57) = multiply(inverse(X_56),multiply(X_56,X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_56),X_56),X_57),multiply(inverse(X_56),multiply(X_56,X_57))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_87,plain,
( multiply(multiply(inverse(X_56),X_56),X_57) != multiply(inverse(X_56),multiply(X_56,X_57))
| multiply(identity,X_57) = multiply(inverse(X_56),multiply(X_56,X_57)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),X_56),identity) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
multiply(identity,X_57) = multiply(inverse(X_56),multiply(X_56,X_57)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_56),X_56),X_57),multiply(inverse(X_56),multiply(X_56,X_57))) )],[refute_0_84,refute_0_87]) ).
cnf(refute_0_89,plain,
multiply(identity,X_57) = X_57,
inference(subst,[],[left_identity:[bind(X,$fot(X_57))]]) ).
cnf(refute_0_90,plain,
( multiply(identity,X_57) != X_57
| multiply(identity,X_57) != multiply(inverse(X_56),multiply(X_56,X_57))
| X_57 = multiply(inverse(X_56),multiply(X_56,X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_57),multiply(inverse(X_56),multiply(X_56,X_57))) ),[0],$fot(X_57)]]) ).
cnf(refute_0_91,plain,
( multiply(identity,X_57) != multiply(inverse(X_56),multiply(X_56,X_57))
| X_57 = multiply(inverse(X_56),multiply(X_56,X_57)) ),
inference(resolve,[$cnf( $equal(multiply(identity,X_57),X_57) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
X_57 = multiply(inverse(X_56),multiply(X_56,X_57)),
inference(resolve,[$cnf( $equal(multiply(identity,X_57),multiply(inverse(X_56),multiply(X_56,X_57))) )],[refute_0_88,refute_0_91]) ).
cnf(refute_0_93,plain,
X_59 = multiply(inverse(X_58),multiply(X_58,X_59)),
inference(subst,[],[refute_0_92:[bind(X_56,$fot(X_58)),bind(X_57,$fot(X_59))]]) ).
cnf(refute_0_94,plain,
( X_59 != multiply(inverse(X_58),multiply(X_58,X_59))
| multiply(inverse(X_58),multiply(X_58,X_59)) = X_59 ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(X_59)),bind(Y0,$fot(multiply(inverse(X_58),multiply(X_58,X_59))))]]) ).
cnf(refute_0_95,plain,
multiply(inverse(X_58),multiply(X_58,X_59)) = X_59,
inference(resolve,[$cnf( $equal(X_59,multiply(inverse(X_58),multiply(X_58,X_59))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
( multiply(inverse(X_58),multiply(X_58,X_59)) != X_59
| inverse(multiply(inverse(X_58),multiply(X_58,X_59))) != multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58)))
| inverse(X_59) = multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_58),multiply(X_58,X_59))),multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58)))) ),[0,0],$fot(X_59)]]) ).
cnf(refute_0_97,plain,
( inverse(multiply(inverse(X_58),multiply(X_58,X_59))) != multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58)))
| inverse(X_59) = multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),multiply(X_58,X_59)),X_59) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
inverse(X_59) = multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_58),multiply(X_58,X_59))),multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58)))) )],[refute_0_83,refute_0_97]) ).
cnf(refute_0_99,plain,
inverse(multiply(inverse(X_58),multiply(X_58,X_59))) = multiply(inverse(multiply(X_58,X_59)),X_58),
inference(subst,[],[refute_0_63:[bind(X,$fot(X_58)),bind(X_23,$fot(multiply(X_58,X_59)))]]) ).
cnf(refute_0_100,plain,
multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58))) = inverse(multiply(inverse(X_58),multiply(X_58,X_59))),
inference(subst,[],[refute_0_66:[bind(X,$fot(inverse(X_58))),bind(Y,$fot(multiply(X_58,X_59)))]]) ).
cnf(refute_0_101,plain,
( multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58))) != inverse(multiply(inverse(X_58),multiply(X_58,X_59)))
| inverse(multiply(inverse(X_58),multiply(X_58,X_59))) != multiply(inverse(multiply(X_58,X_59)),X_58)
| multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58))) = multiply(inverse(multiply(X_58,X_59)),X_58) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58))))),bind(Y0,$fot(inverse(multiply(inverse(X_58),multiply(X_58,X_59))))),bind(Z0,$fot(multiply(inverse(multiply(X_58,X_59)),X_58)))]]) ).
cnf(refute_0_102,plain,
( inverse(multiply(inverse(X_58),multiply(X_58,X_59))) != multiply(inverse(multiply(X_58,X_59)),X_58)
| multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58))) = multiply(inverse(multiply(X_58,X_59)),X_58) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58))),inverse(multiply(inverse(X_58),multiply(X_58,X_59)))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58))) = multiply(inverse(multiply(X_58,X_59)),X_58),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_58),multiply(X_58,X_59))),multiply(inverse(multiply(X_58,X_59)),X_58)) )],[refute_0_99,refute_0_102]) ).
cnf(refute_0_104,plain,
( multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58))) != multiply(inverse(multiply(X_58,X_59)),X_58)
| inverse(X_59) != multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58)))
| inverse(X_59) = multiply(inverse(multiply(X_58,X_59)),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_59),multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58)))) ),[1],$fot(multiply(inverse(multiply(X_58,X_59)),X_58))]]) ).
cnf(refute_0_105,plain,
( inverse(X_59) != multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58)))
| inverse(X_59) = multiply(inverse(multiply(X_58,X_59)),X_58) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58))),multiply(inverse(multiply(X_58,X_59)),X_58)) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
inverse(X_59) = multiply(inverse(multiply(X_58,X_59)),X_58),
inference(resolve,[$cnf( $equal(inverse(X_59),multiply(inverse(multiply(X_58,X_59)),inverse(inverse(X_58)))) )],[refute_0_98,refute_0_105]) ).
cnf(refute_0_107,plain,
inverse(greatest_lower_bound(X_73,X_74)) = multiply(inverse(multiply(inverse(X_73),greatest_lower_bound(X_73,X_74))),inverse(X_73)),
inference(subst,[],[refute_0_106:[bind(X_58,$fot(inverse(X_73))),bind(X_59,$fot(greatest_lower_bound(X_73,X_74)))]]) ).
cnf(refute_0_108,plain,
multiply(inverse(X_73),greatest_lower_bound(X_73,X_74)) = greatest_lower_bound(identity,multiply(inverse(X_73),X_74)),
inference(subst,[],[refute_0_41:[bind(X_67,$fot(X_73)),bind(X_68,$fot(X_74))]]) ).
cnf(refute_0_109,plain,
( multiply(inverse(X_73),greatest_lower_bound(X_73,X_74)) != greatest_lower_bound(identity,multiply(inverse(X_73),X_74))
| inverse(greatest_lower_bound(X_73,X_74)) != multiply(inverse(multiply(inverse(X_73),greatest_lower_bound(X_73,X_74))),inverse(X_73))
| inverse(greatest_lower_bound(X_73,X_74)) = multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))),inverse(X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(X_73,X_74)),multiply(inverse(multiply(inverse(X_73),greatest_lower_bound(X_73,X_74))),inverse(X_73))) ),[1,0,0],$fot(greatest_lower_bound(identity,multiply(inverse(X_73),X_74)))]]) ).
cnf(refute_0_110,plain,
( inverse(greatest_lower_bound(X_73,X_74)) != multiply(inverse(multiply(inverse(X_73),greatest_lower_bound(X_73,X_74))),inverse(X_73))
| inverse(greatest_lower_bound(X_73,X_74)) = multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))),inverse(X_73)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_73),greatest_lower_bound(X_73,X_74)),greatest_lower_bound(identity,multiply(inverse(X_73),X_74))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
inverse(greatest_lower_bound(X_73,X_74)) = multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))),inverse(X_73)),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_73,X_74)),multiply(inverse(multiply(inverse(X_73),greatest_lower_bound(X_73,X_74))),inverse(X_73))) )],[refute_0_107,refute_0_110]) ).
cnf(refute_0_112,plain,
inverse(inverse(X_73)) = X_73,
inference(subst,[],[p20_2:[bind(X,$fot(X_73))]]) ).
cnf(refute_0_113,plain,
greatest_lower_bound(X_74,inverse(inverse(X_73))) = greatest_lower_bound(X_74,inverse(inverse(X_73))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X_74,inverse(inverse(X_73))))]]) ).
cnf(refute_0_114,plain,
( greatest_lower_bound(X_74,inverse(inverse(X_73))) != greatest_lower_bound(X_74,inverse(inverse(X_73)))
| inverse(inverse(X_73)) != X_73
| greatest_lower_bound(X_74,inverse(inverse(X_73))) = greatest_lower_bound(X_74,X_73) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_74,inverse(inverse(X_73))),greatest_lower_bound(X_74,inverse(inverse(X_73)))) ),[1,1],$fot(X_73)]]) ).
cnf(refute_0_115,plain,
( inverse(inverse(X_73)) != X_73
| greatest_lower_bound(X_74,inverse(inverse(X_73))) = greatest_lower_bound(X_74,X_73) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_74,inverse(inverse(X_73))),greatest_lower_bound(X_74,inverse(inverse(X_73)))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
greatest_lower_bound(X_74,inverse(inverse(X_73))) = greatest_lower_bound(X_74,X_73),
inference(resolve,[$cnf( $equal(inverse(inverse(X_73)),X_73) )],[refute_0_112,refute_0_115]) ).
cnf(refute_0_117,plain,
inverse(greatest_lower_bound(X_74,inverse(inverse(X_73)))) = inverse(greatest_lower_bound(X_74,inverse(inverse(X_73)))),
introduced(tautology,[refl,[$fot(inverse(greatest_lower_bound(X_74,inverse(inverse(X_73)))))]]) ).
cnf(refute_0_118,plain,
( greatest_lower_bound(X_74,inverse(inverse(X_73))) != greatest_lower_bound(X_74,X_73)
| inverse(greatest_lower_bound(X_74,inverse(inverse(X_73)))) != inverse(greatest_lower_bound(X_74,inverse(inverse(X_73))))
| inverse(greatest_lower_bound(X_74,inverse(inverse(X_73)))) = inverse(greatest_lower_bound(X_74,X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(X_74,inverse(inverse(X_73)))),inverse(greatest_lower_bound(X_74,inverse(inverse(X_73))))) ),[1,0],$fot(greatest_lower_bound(X_74,X_73))]]) ).
cnf(refute_0_119,plain,
( greatest_lower_bound(X_74,inverse(inverse(X_73))) != greatest_lower_bound(X_74,X_73)
| inverse(greatest_lower_bound(X_74,inverse(inverse(X_73)))) = inverse(greatest_lower_bound(X_74,X_73)) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_74,inverse(inverse(X_73)))),inverse(greatest_lower_bound(X_74,inverse(inverse(X_73))))) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
inverse(greatest_lower_bound(X_74,inverse(inverse(X_73)))) = inverse(greatest_lower_bound(X_74,X_73)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_74,inverse(inverse(X_73))),greatest_lower_bound(X_74,X_73)) )],[refute_0_116,refute_0_119]) ).
cnf(refute_0_121,plain,
inverse(greatest_lower_bound(X_70,inverse(X_58))) = multiply(inverse(multiply(X_58,greatest_lower_bound(X_70,inverse(X_58)))),X_58),
inference(subst,[],[refute_0_106:[bind(X_59,$fot(greatest_lower_bound(X_70,inverse(X_58))))]]) ).
cnf(refute_0_122,plain,
multiply(X_66,greatest_lower_bound(X_67,inverse(X_66))) = greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,inverse(X_66))),
inference(subst,[],[monotony_glb1:[bind(X,$fot(X_66)),bind(Y,$fot(X_67)),bind(Z,$fot(inverse(X_66)))]]) ).
cnf(refute_0_123,plain,
multiply(inverse(inverse(X_1)),inverse(X_1)) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(inverse(X_1)))]]) ).
cnf(refute_0_124,plain,
inverse(inverse(X_1)) = X_1,
inference(subst,[],[p20_2:[bind(X,$fot(X_1))]]) ).
cnf(refute_0_125,plain,
( multiply(inverse(inverse(X_1)),inverse(X_1)) != identity
| inverse(inverse(X_1)) != X_1
| multiply(X_1,inverse(X_1)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_1)),inverse(X_1)),identity) ),[0,0],$fot(X_1)]]) ).
cnf(refute_0_126,plain,
( multiply(inverse(inverse(X_1)),inverse(X_1)) != identity
| multiply(X_1,inverse(X_1)) = identity ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_1)),X_1) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
multiply(X_1,inverse(X_1)) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_1)),inverse(X_1)),identity) )],[refute_0_123,refute_0_126]) ).
cnf(refute_0_128,plain,
multiply(X_66,inverse(X_66)) = identity,
inference(subst,[],[refute_0_127:[bind(X_1,$fot(X_66))]]) ).
cnf(refute_0_129,plain,
( multiply(X_66,greatest_lower_bound(X_67,inverse(X_66))) != greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,inverse(X_66)))
| multiply(X_66,inverse(X_66)) != identity
| multiply(X_66,greatest_lower_bound(X_67,inverse(X_66))) = greatest_lower_bound(multiply(X_66,X_67),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_66,greatest_lower_bound(X_67,inverse(X_66))),greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,inverse(X_66)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_130,plain,
( multiply(X_66,greatest_lower_bound(X_67,inverse(X_66))) != greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,inverse(X_66)))
| multiply(X_66,greatest_lower_bound(X_67,inverse(X_66))) = greatest_lower_bound(multiply(X_66,X_67),identity) ),
inference(resolve,[$cnf( $equal(multiply(X_66,inverse(X_66)),identity) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
multiply(X_66,greatest_lower_bound(X_67,inverse(X_66))) = greatest_lower_bound(multiply(X_66,X_67),identity),
inference(resolve,[$cnf( $equal(multiply(X_66,greatest_lower_bound(X_67,inverse(X_66))),greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,inverse(X_66)))) )],[refute_0_122,refute_0_130]) ).
cnf(refute_0_132,plain,
greatest_lower_bound(multiply(X_66,X_67),identity) = greatest_lower_bound(identity,multiply(X_66,X_67)),
inference(subst,[],[refute_0_30:[bind(X,$fot(identity)),bind(Y,$fot(multiply(X_66,X_67)))]]) ).
cnf(refute_0_133,plain,
( multiply(X_66,greatest_lower_bound(X_67,inverse(X_66))) != greatest_lower_bound(multiply(X_66,X_67),identity)
| greatest_lower_bound(multiply(X_66,X_67),identity) != greatest_lower_bound(identity,multiply(X_66,X_67))
| multiply(X_66,greatest_lower_bound(X_67,inverse(X_66))) = greatest_lower_bound(identity,multiply(X_66,X_67)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_66,greatest_lower_bound(X_67,inverse(X_66))),greatest_lower_bound(identity,multiply(X_66,X_67))) ),[0],$fot(greatest_lower_bound(multiply(X_66,X_67),identity))]]) ).
cnf(refute_0_134,plain,
( multiply(X_66,greatest_lower_bound(X_67,inverse(X_66))) != greatest_lower_bound(multiply(X_66,X_67),identity)
| multiply(X_66,greatest_lower_bound(X_67,inverse(X_66))) = greatest_lower_bound(identity,multiply(X_66,X_67)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_66,X_67),identity),greatest_lower_bound(identity,multiply(X_66,X_67))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
multiply(X_66,greatest_lower_bound(X_67,inverse(X_66))) = greatest_lower_bound(identity,multiply(X_66,X_67)),
inference(resolve,[$cnf( $equal(multiply(X_66,greatest_lower_bound(X_67,inverse(X_66))),greatest_lower_bound(multiply(X_66,X_67),identity)) )],[refute_0_131,refute_0_134]) ).
cnf(refute_0_136,plain,
multiply(X_58,greatest_lower_bound(X_70,inverse(X_58))) = greatest_lower_bound(identity,multiply(X_58,X_70)),
inference(subst,[],[refute_0_135:[bind(X_66,$fot(X_58)),bind(X_67,$fot(X_70))]]) ).
cnf(refute_0_137,plain,
( multiply(X_58,greatest_lower_bound(X_70,inverse(X_58))) != greatest_lower_bound(identity,multiply(X_58,X_70))
| inverse(greatest_lower_bound(X_70,inverse(X_58))) != multiply(inverse(multiply(X_58,greatest_lower_bound(X_70,inverse(X_58)))),X_58)
| inverse(greatest_lower_bound(X_70,inverse(X_58))) = multiply(inverse(greatest_lower_bound(identity,multiply(X_58,X_70))),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(X_70,inverse(X_58))),multiply(inverse(multiply(X_58,greatest_lower_bound(X_70,inverse(X_58)))),X_58)) ),[1,0,0],$fot(greatest_lower_bound(identity,multiply(X_58,X_70)))]]) ).
cnf(refute_0_138,plain,
( inverse(greatest_lower_bound(X_70,inverse(X_58))) != multiply(inverse(multiply(X_58,greatest_lower_bound(X_70,inverse(X_58)))),X_58)
| inverse(greatest_lower_bound(X_70,inverse(X_58))) = multiply(inverse(greatest_lower_bound(identity,multiply(X_58,X_70))),X_58) ),
inference(resolve,[$cnf( $equal(multiply(X_58,greatest_lower_bound(X_70,inverse(X_58))),greatest_lower_bound(identity,multiply(X_58,X_70))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
inverse(greatest_lower_bound(X_70,inverse(X_58))) = multiply(inverse(greatest_lower_bound(identity,multiply(X_58,X_70))),X_58),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_70,inverse(X_58))),multiply(inverse(multiply(X_58,greatest_lower_bound(X_70,inverse(X_58)))),X_58)) )],[refute_0_121,refute_0_138]) ).
cnf(refute_0_140,plain,
( inverse(greatest_lower_bound(X_70,inverse(X_58))) != multiply(inverse(greatest_lower_bound(identity,multiply(X_58,X_70))),X_58)
| multiply(inverse(greatest_lower_bound(identity,multiply(X_58,X_70))),X_58) = inverse(greatest_lower_bound(X_70,inverse(X_58))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(greatest_lower_bound(X_70,inverse(X_58))))),bind(Y0,$fot(multiply(inverse(greatest_lower_bound(identity,multiply(X_58,X_70))),X_58)))]]) ).
cnf(refute_0_141,plain,
multiply(inverse(greatest_lower_bound(identity,multiply(X_58,X_70))),X_58) = inverse(greatest_lower_bound(X_70,inverse(X_58))),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_70,inverse(X_58))),multiply(inverse(greatest_lower_bound(identity,multiply(X_58,X_70))),X_58)) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))),inverse(X_73)) = inverse(greatest_lower_bound(X_74,inverse(inverse(X_73)))),
inference(subst,[],[refute_0_141:[bind(X_58,$fot(inverse(X_73))),bind(X_70,$fot(X_74))]]) ).
cnf(refute_0_143,plain,
( multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))),inverse(X_73)) != inverse(greatest_lower_bound(X_74,inverse(inverse(X_73))))
| inverse(greatest_lower_bound(X_74,inverse(inverse(X_73)))) != inverse(greatest_lower_bound(X_74,X_73))
| multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))),inverse(X_73)) = inverse(greatest_lower_bound(X_74,X_73)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))),inverse(X_73)))),bind(Y0,$fot(inverse(greatest_lower_bound(X_74,inverse(inverse(X_73)))))),bind(Z0,$fot(inverse(greatest_lower_bound(X_74,X_73))))]]) ).
cnf(refute_0_144,plain,
( inverse(greatest_lower_bound(X_74,inverse(inverse(X_73)))) != inverse(greatest_lower_bound(X_74,X_73))
| multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))),inverse(X_73)) = inverse(greatest_lower_bound(X_74,X_73)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))),inverse(X_73)),inverse(greatest_lower_bound(X_74,inverse(inverse(X_73))))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))),inverse(X_73)) = inverse(greatest_lower_bound(X_74,X_73)),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_74,inverse(inverse(X_73)))),inverse(greatest_lower_bound(X_74,X_73))) )],[refute_0_120,refute_0_144]) ).
cnf(refute_0_146,plain,
( multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))),inverse(X_73)) != inverse(greatest_lower_bound(X_74,X_73))
| inverse(greatest_lower_bound(X_73,X_74)) != multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))),inverse(X_73))
| inverse(greatest_lower_bound(X_73,X_74)) = inverse(greatest_lower_bound(X_74,X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(X_73,X_74)),multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))),inverse(X_73))) ),[1],$fot(inverse(greatest_lower_bound(X_74,X_73)))]]) ).
cnf(refute_0_147,plain,
( inverse(greatest_lower_bound(X_73,X_74)) != multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))),inverse(X_73))
| inverse(greatest_lower_bound(X_73,X_74)) = inverse(greatest_lower_bound(X_74,X_73)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))),inverse(X_73)),inverse(greatest_lower_bound(X_74,X_73))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
inverse(greatest_lower_bound(X_73,X_74)) = inverse(greatest_lower_bound(X_74,X_73)),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_73,X_74)),multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))),inverse(X_73))) )],[refute_0_111,refute_0_147]) ).
cnf(refute_0_149,plain,
inverse(greatest_lower_bound(X_76,X_77)) = inverse(greatest_lower_bound(X_77,X_76)),
inference(subst,[],[refute_0_148:[bind(X_73,$fot(X_76)),bind(X_74,$fot(X_77))]]) ).
cnf(refute_0_150,plain,
( multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(X_76,X_77)) != identity
| inverse(greatest_lower_bound(X_76,X_77)) != inverse(greatest_lower_bound(X_77,X_76))
| multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(X_76,X_77)),identity) ),[0,0],$fot(inverse(greatest_lower_bound(X_77,X_76)))]]) ).
cnf(refute_0_151,plain,
( multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(X_76,X_77)) != identity
| multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77)) = identity ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77)) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(X_76,X_77)),identity) )],[refute_0_82,refute_0_151]) ).
cnf(refute_0_153,plain,
multiply(inverse(greatest_lower_bound(identity,X_67)),greatest_lower_bound(X_67,identity)) = identity,
inference(subst,[],[refute_0_152:[bind(X_76,$fot(X_67)),bind(X_77,$fot(identity))]]) ).
cnf(refute_0_154,plain,
( multiply(inverse(greatest_lower_bound(identity,X_67)),greatest_lower_bound(X_67,identity)) != greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67))))
| multiply(inverse(greatest_lower_bound(identity,X_67)),greatest_lower_bound(X_67,identity)) != identity
| identity = greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,X_67)),greatest_lower_bound(X_67,identity)),greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67))))) ),[0],$fot(identity)]]) ).
cnf(refute_0_155,plain,
( multiply(inverse(greatest_lower_bound(identity,X_67)),greatest_lower_bound(X_67,identity)) != greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67))))
| identity = greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,X_67)),greatest_lower_bound(X_67,identity)),identity) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
identity = greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,X_67)),greatest_lower_bound(X_67,identity)),greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67))))) )],[refute_0_81,refute_0_155]) ).
cnf(refute_0_157,plain,
multiply(inverse(multiply(X_67,X_59)),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(multiply(inverse(multiply(X_67,X_59)),X_67),multiply(inverse(multiply(X_67,X_59)),X_68)),
inference(subst,[],[monotony_glb1:[bind(X,$fot(inverse(multiply(X_67,X_59)))),bind(Y,$fot(X_67)),bind(Z,$fot(X_68))]]) ).
cnf(refute_0_158,plain,
inverse(X_59) = multiply(inverse(multiply(X_67,X_59)),X_67),
inference(subst,[],[refute_0_106:[bind(X_58,$fot(X_67))]]) ).
cnf(refute_0_159,plain,
( inverse(X_59) != multiply(inverse(multiply(X_67,X_59)),X_67)
| multiply(inverse(multiply(X_67,X_59)),X_67) = inverse(X_59) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(X_59))),bind(Y0,$fot(multiply(inverse(multiply(X_67,X_59)),X_67)))]]) ).
cnf(refute_0_160,plain,
multiply(inverse(multiply(X_67,X_59)),X_67) = inverse(X_59),
inference(resolve,[$cnf( $equal(inverse(X_59),multiply(inverse(multiply(X_67,X_59)),X_67)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
( multiply(inverse(multiply(X_67,X_59)),X_67) != inverse(X_59)
| multiply(inverse(multiply(X_67,X_59)),greatest_lower_bound(X_67,X_68)) != greatest_lower_bound(multiply(inverse(multiply(X_67,X_59)),X_67),multiply(inverse(multiply(X_67,X_59)),X_68))
| multiply(inverse(multiply(X_67,X_59)),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(inverse(X_59),multiply(inverse(multiply(X_67,X_59)),X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_67,X_59)),greatest_lower_bound(X_67,X_68)),greatest_lower_bound(multiply(inverse(multiply(X_67,X_59)),X_67),multiply(inverse(multiply(X_67,X_59)),X_68))) ),[1,0],$fot(inverse(X_59))]]) ).
cnf(refute_0_162,plain,
( multiply(inverse(multiply(X_67,X_59)),greatest_lower_bound(X_67,X_68)) != greatest_lower_bound(multiply(inverse(multiply(X_67,X_59)),X_67),multiply(inverse(multiply(X_67,X_59)),X_68))
| multiply(inverse(multiply(X_67,X_59)),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(inverse(X_59),multiply(inverse(multiply(X_67,X_59)),X_68)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_67,X_59)),X_67),inverse(X_59)) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
multiply(inverse(multiply(X_67,X_59)),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(inverse(X_59),multiply(inverse(multiply(X_67,X_59)),X_68)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_67,X_59)),greatest_lower_bound(X_67,X_68)),greatest_lower_bound(multiply(inverse(multiply(X_67,X_59)),X_67),multiply(inverse(multiply(X_67,X_59)),X_68))) )],[refute_0_157,refute_0_162]) ).
cnf(refute_0_164,plain,
multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)) = greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_414)),
inference(subst,[],[refute_0_163:[bind(X_59,$fot(greatest_lower_bound(X_76,X_77))),bind(X_67,$fot(inverse(greatest_lower_bound(X_77,X_76)))),bind(X_68,$fot(X_414))]]) ).
cnf(refute_0_165,plain,
( multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)) != greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_414))
| multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77)) != identity
| multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)) = greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)),greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_414))) ),[1,1,0,0],$fot(identity)]]) ).
cnf(refute_0_166,plain,
( multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)) != greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_414))
| multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)) = greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77)),identity) )],[refute_0_152,refute_0_165]) ).
cnf(refute_0_167,plain,
multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)) = greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)),greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_414))) )],[refute_0_164,refute_0_166]) ).
cnf(refute_0_168,plain,
multiply(inverse(multiply(X_68,X_59)),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(multiply(inverse(multiply(X_68,X_59)),X_67),multiply(inverse(multiply(X_68,X_59)),X_68)),
inference(subst,[],[monotony_glb1:[bind(X,$fot(inverse(multiply(X_68,X_59)))),bind(Y,$fot(X_67)),bind(Z,$fot(X_68))]]) ).
cnf(refute_0_169,plain,
inverse(X_59) = multiply(inverse(multiply(X_68,X_59)),X_68),
inference(subst,[],[refute_0_106:[bind(X_58,$fot(X_68))]]) ).
cnf(refute_0_170,plain,
( inverse(X_59) != multiply(inverse(multiply(X_68,X_59)),X_68)
| multiply(inverse(multiply(X_68,X_59)),X_68) = inverse(X_59) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(X_59))),bind(Y0,$fot(multiply(inverse(multiply(X_68,X_59)),X_68)))]]) ).
cnf(refute_0_171,plain,
multiply(inverse(multiply(X_68,X_59)),X_68) = inverse(X_59),
inference(resolve,[$cnf( $equal(inverse(X_59),multiply(inverse(multiply(X_68,X_59)),X_68)) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
( multiply(inverse(multiply(X_68,X_59)),X_68) != inverse(X_59)
| multiply(inverse(multiply(X_68,X_59)),greatest_lower_bound(X_67,X_68)) != greatest_lower_bound(multiply(inverse(multiply(X_68,X_59)),X_67),multiply(inverse(multiply(X_68,X_59)),X_68))
| multiply(inverse(multiply(X_68,X_59)),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(multiply(inverse(multiply(X_68,X_59)),X_67),inverse(X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_68,X_59)),greatest_lower_bound(X_67,X_68)),greatest_lower_bound(multiply(inverse(multiply(X_68,X_59)),X_67),multiply(inverse(multiply(X_68,X_59)),X_68))) ),[1,1],$fot(inverse(X_59))]]) ).
cnf(refute_0_173,plain,
( multiply(inverse(multiply(X_68,X_59)),greatest_lower_bound(X_67,X_68)) != greatest_lower_bound(multiply(inverse(multiply(X_68,X_59)),X_67),multiply(inverse(multiply(X_68,X_59)),X_68))
| multiply(inverse(multiply(X_68,X_59)),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(multiply(inverse(multiply(X_68,X_59)),X_67),inverse(X_59)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_68,X_59)),X_68),inverse(X_59)) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
multiply(inverse(multiply(X_68,X_59)),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(multiply(inverse(multiply(X_68,X_59)),X_67),inverse(X_59)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_68,X_59)),greatest_lower_bound(X_67,X_68)),greatest_lower_bound(multiply(inverse(multiply(X_68,X_59)),X_67),multiply(inverse(multiply(X_68,X_59)),X_68))) )],[refute_0_168,refute_0_173]) ).
cnf(refute_0_175,plain,
greatest_lower_bound(multiply(inverse(multiply(X_68,X_59)),X_67),inverse(X_59)) = greatest_lower_bound(inverse(X_59),multiply(inverse(multiply(X_68,X_59)),X_67)),
inference(subst,[],[refute_0_30:[bind(X,$fot(inverse(X_59))),bind(Y,$fot(multiply(inverse(multiply(X_68,X_59)),X_67)))]]) ).
cnf(refute_0_176,plain,
( multiply(inverse(multiply(X_68,X_59)),greatest_lower_bound(X_67,X_68)) != greatest_lower_bound(multiply(inverse(multiply(X_68,X_59)),X_67),inverse(X_59))
| greatest_lower_bound(multiply(inverse(multiply(X_68,X_59)),X_67),inverse(X_59)) != greatest_lower_bound(inverse(X_59),multiply(inverse(multiply(X_68,X_59)),X_67))
| multiply(inverse(multiply(X_68,X_59)),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(inverse(X_59),multiply(inverse(multiply(X_68,X_59)),X_67)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(multiply(X_68,X_59)),greatest_lower_bound(X_67,X_68)),greatest_lower_bound(inverse(X_59),multiply(inverse(multiply(X_68,X_59)),X_67))) ),[0],$fot(greatest_lower_bound(multiply(inverse(multiply(X_68,X_59)),X_67),inverse(X_59)))]]) ).
cnf(refute_0_177,plain,
( multiply(inverse(multiply(X_68,X_59)),greatest_lower_bound(X_67,X_68)) != greatest_lower_bound(multiply(inverse(multiply(X_68,X_59)),X_67),inverse(X_59))
| multiply(inverse(multiply(X_68,X_59)),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(inverse(X_59),multiply(inverse(multiply(X_68,X_59)),X_67)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(inverse(multiply(X_68,X_59)),X_67),inverse(X_59)),greatest_lower_bound(inverse(X_59),multiply(inverse(multiply(X_68,X_59)),X_67))) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
multiply(inverse(multiply(X_68,X_59)),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(inverse(X_59),multiply(inverse(multiply(X_68,X_59)),X_67)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_68,X_59)),greatest_lower_bound(X_67,X_68)),greatest_lower_bound(multiply(inverse(multiply(X_68,X_59)),X_67),inverse(X_59))) )],[refute_0_174,refute_0_177]) ).
cnf(refute_0_179,plain,
multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) = greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)),
inference(subst,[],[refute_0_178:[bind(X_59,$fot(greatest_lower_bound(X_76,X_77))),bind(X_67,$fot(X_410)),bind(X_68,$fot(inverse(greatest_lower_bound(X_77,X_76))))]]) ).
cnf(refute_0_180,plain,
( multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) != greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410))
| multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77)) != identity
| multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) = greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))),greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410))) ),[0,0,0],$fot(identity)]]) ).
cnf(refute_0_181,plain,
( multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) != greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410))
| multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) = greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77)),identity) )],[refute_0_152,refute_0_180]) ).
cnf(refute_0_182,plain,
multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) = greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))),greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410))) )],[refute_0_179,refute_0_181]) ).
cnf(refute_0_183,plain,
multiply(identity,greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) = greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))),
inference(subst,[],[left_identity:[bind(X,$fot(greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))))]]) ).
cnf(refute_0_184,plain,
multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) = multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))))]]) ).
cnf(refute_0_185,plain,
( multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) != multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))))
| inverse(identity) != identity
| multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) = multiply(identity,greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))),multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_186,plain,
( inverse(identity) != identity
| multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) = multiply(identity,greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))),multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))))) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) = multiply(identity,greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[p20_1,refute_0_186]) ).
cnf(refute_0_188,plain,
( multiply(identity,greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) != greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))
| multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) != multiply(identity,greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))))
| multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) = greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))))),bind(Y0,$fot(multiply(identity,greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))))),bind(Z0,$fot(greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))))]]) ).
cnf(refute_0_189,plain,
( multiply(identity,greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) != greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))
| multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) = greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))),multiply(identity,greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) = greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))),
inference(resolve,[$cnf( $equal(multiply(identity,greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) )],[refute_0_183,refute_0_189]) ).
cnf(refute_0_191,plain,
( multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) != greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))
| multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) != greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410))
| greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))) = greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))),greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410))) ),[0],$fot(greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))))]]) ).
cnf(refute_0_192,plain,
( multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) != greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410))
| greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))) = greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
inverse(inverse(greatest_lower_bound(X_77,X_76))) = greatest_lower_bound(X_77,X_76),
inference(subst,[],[p20_2:[bind(X,$fot(greatest_lower_bound(X_77,X_76)))]]) ).
cnf(refute_0_194,plain,
multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410) = multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))]]) ).
cnf(refute_0_195,plain,
( multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410) != multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)
| inverse(inverse(greatest_lower_bound(X_77,X_76))) != greatest_lower_bound(X_77,X_76)
| multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410) = multiply(greatest_lower_bound(X_77,X_76),X_410) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410),multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)) ),[1,0],$fot(greatest_lower_bound(X_77,X_76))]]) ).
cnf(refute_0_196,plain,
( inverse(inverse(greatest_lower_bound(X_77,X_76))) != greatest_lower_bound(X_77,X_76)
| multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410) = multiply(greatest_lower_bound(X_77,X_76),X_410) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410),multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410) = multiply(greatest_lower_bound(X_77,X_76),X_410),
inference(resolve,[$cnf( $equal(inverse(inverse(greatest_lower_bound(X_77,X_76))),greatest_lower_bound(X_77,X_76)) )],[refute_0_193,refute_0_196]) ).
cnf(refute_0_198,plain,
greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)) = greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)),
introduced(tautology,[refl,[$fot(greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)))]]) ).
cnf(refute_0_199,plain,
( multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410) != multiply(greatest_lower_bound(X_77,X_76),X_410)
| greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)) != greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))
| greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)) = greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))) ),[1,1],$fot(multiply(greatest_lower_bound(X_77,X_76),X_410))]]) ).
cnf(refute_0_200,plain,
( multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410) != multiply(greatest_lower_bound(X_77,X_76),X_410)
| greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)) = greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)) = greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410),multiply(greatest_lower_bound(X_77,X_76),X_410)) )],[refute_0_197,refute_0_200]) ).
cnf(refute_0_202,plain,
multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))) = multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))),
introduced(tautology,[refl,[$fot(multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))))]]) ).
cnf(refute_0_203,plain,
( multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))) != multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)))
| greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)) != greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410))
| multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))) = multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))),multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)))) ),[1,1],$fot(greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410)))]]) ).
cnf(refute_0_204,plain,
( greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)) != greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410))
| multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))) = multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))),multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))) = multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410))) )],[refute_0_201,refute_0_204]) ).
cnf(refute_0_206,plain,
inverse(multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_272),X_273))),X_23)) = multiply(inverse(X_23),greatest_lower_bound(identity,multiply(inverse(X_272),X_273))),
inference(subst,[],[refute_0_63:[bind(X,$fot(greatest_lower_bound(identity,multiply(inverse(X_272),X_273))))]]) ).
cnf(refute_0_207,plain,
inverse(multiply(inverse(X_73),greatest_lower_bound(X_73,X_74))) = multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73))),
inference(subst,[],[p20_3:[bind(X,$fot(inverse(X_73))),bind(Y,$fot(greatest_lower_bound(X_73,X_74)))]]) ).
cnf(refute_0_208,plain,
( multiply(inverse(X_73),greatest_lower_bound(X_73,X_74)) != greatest_lower_bound(identity,multiply(inverse(X_73),X_74))
| inverse(multiply(inverse(X_73),greatest_lower_bound(X_73,X_74))) != multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73)))
| inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))) = multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_73),greatest_lower_bound(X_73,X_74))),multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73)))) ),[0,0],$fot(greatest_lower_bound(identity,multiply(inverse(X_73),X_74)))]]) ).
cnf(refute_0_209,plain,
( inverse(multiply(inverse(X_73),greatest_lower_bound(X_73,X_74))) != multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73)))
| inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))) = multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_73),greatest_lower_bound(X_73,X_74)),greatest_lower_bound(identity,multiply(inverse(X_73),X_74))) )],[refute_0_108,refute_0_208]) ).
cnf(refute_0_210,plain,
inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))) = multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_73),greatest_lower_bound(X_73,X_74))),multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73)))) )],[refute_0_207,refute_0_209]) ).
cnf(refute_0_211,plain,
inverse(multiply(inverse(X_73),greatest_lower_bound(X_73,X_74))) = multiply(inverse(greatest_lower_bound(X_73,X_74)),X_73),
inference(subst,[],[refute_0_63:[bind(X,$fot(X_73)),bind(X_23,$fot(greatest_lower_bound(X_73,X_74)))]]) ).
cnf(refute_0_212,plain,
multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73))) = inverse(multiply(inverse(X_73),greatest_lower_bound(X_73,X_74))),
inference(subst,[],[refute_0_66:[bind(X,$fot(inverse(X_73))),bind(Y,$fot(greatest_lower_bound(X_73,X_74)))]]) ).
cnf(refute_0_213,plain,
( multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73))) != inverse(multiply(inverse(X_73),greatest_lower_bound(X_73,X_74)))
| inverse(multiply(inverse(X_73),greatest_lower_bound(X_73,X_74))) != multiply(inverse(greatest_lower_bound(X_73,X_74)),X_73)
| multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73))) = multiply(inverse(greatest_lower_bound(X_73,X_74)),X_73) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73))))),bind(Y0,$fot(inverse(multiply(inverse(X_73),greatest_lower_bound(X_73,X_74))))),bind(Z0,$fot(multiply(inverse(greatest_lower_bound(X_73,X_74)),X_73)))]]) ).
cnf(refute_0_214,plain,
( inverse(multiply(inverse(X_73),greatest_lower_bound(X_73,X_74))) != multiply(inverse(greatest_lower_bound(X_73,X_74)),X_73)
| multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73))) = multiply(inverse(greatest_lower_bound(X_73,X_74)),X_73) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73))),inverse(multiply(inverse(X_73),greatest_lower_bound(X_73,X_74)))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73))) = multiply(inverse(greatest_lower_bound(X_73,X_74)),X_73),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_73),greatest_lower_bound(X_73,X_74))),multiply(inverse(greatest_lower_bound(X_73,X_74)),X_73)) )],[refute_0_211,refute_0_214]) ).
cnf(refute_0_216,plain,
( multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73))) != multiply(inverse(greatest_lower_bound(X_73,X_74)),X_73)
| inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))) != multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73)))
| inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))) = multiply(inverse(greatest_lower_bound(X_73,X_74)),X_73) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))),multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73)))) ),[1],$fot(multiply(inverse(greatest_lower_bound(X_73,X_74)),X_73))]]) ).
cnf(refute_0_217,plain,
( inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))) != multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73)))
| inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))) = multiply(inverse(greatest_lower_bound(X_73,X_74)),X_73) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73))),multiply(inverse(greatest_lower_bound(X_73,X_74)),X_73)) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))) = multiply(inverse(greatest_lower_bound(X_73,X_74)),X_73),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,multiply(inverse(X_73),X_74))),multiply(inverse(greatest_lower_bound(X_73,X_74)),inverse(inverse(X_73)))) )],[refute_0_210,refute_0_217]) ).
cnf(refute_0_219,plain,
inverse(greatest_lower_bound(identity,multiply(inverse(X_272),X_273))) = multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),
inference(subst,[],[refute_0_218:[bind(X_73,$fot(X_272)),bind(X_74,$fot(X_273))]]) ).
cnf(refute_0_220,plain,
( inverse(multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_272),X_273))),X_23)) != multiply(inverse(X_23),greatest_lower_bound(identity,multiply(inverse(X_272),X_273)))
| inverse(greatest_lower_bound(identity,multiply(inverse(X_272),X_273))) != multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272)
| inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)) = multiply(inverse(X_23),greatest_lower_bound(identity,multiply(inverse(X_272),X_273))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_272),X_273))),X_23)),multiply(inverse(X_23),greatest_lower_bound(identity,multiply(inverse(X_272),X_273)))) ),[0,0,0],$fot(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272))]]) ).
cnf(refute_0_221,plain,
( inverse(multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_272),X_273))),X_23)) != multiply(inverse(X_23),greatest_lower_bound(identity,multiply(inverse(X_272),X_273)))
| inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)) = multiply(inverse(X_23),greatest_lower_bound(identity,multiply(inverse(X_272),X_273))) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,multiply(inverse(X_272),X_273))),multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272)) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)) = multiply(inverse(X_23),greatest_lower_bound(identity,multiply(inverse(X_272),X_273))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(greatest_lower_bound(identity,multiply(inverse(X_272),X_273))),X_23)),multiply(inverse(X_23),greatest_lower_bound(identity,multiply(inverse(X_272),X_273)))) )],[refute_0_206,refute_0_221]) ).
cnf(refute_0_223,plain,
inverse(multiply(inverse(greatest_lower_bound(X_272,X_273)),multiply(X_272,X_23))) = multiply(inverse(multiply(X_272,X_23)),greatest_lower_bound(X_272,X_273)),
inference(subst,[],[refute_0_63:[bind(X,$fot(greatest_lower_bound(X_272,X_273))),bind(X_23,$fot(multiply(X_272,X_23)))]]) ).
cnf(refute_0_224,plain,
multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23) = multiply(inverse(greatest_lower_bound(X_272,X_273)),multiply(X_272,X_23)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(greatest_lower_bound(X_272,X_273)))),bind(Y,$fot(X_272)),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_225,plain,
inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)) = inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)))]]) ).
cnf(refute_0_226,plain,
( multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23) != multiply(inverse(greatest_lower_bound(X_272,X_273)),multiply(X_272,X_23))
| inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)) != inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23))
| inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)) = inverse(multiply(inverse(greatest_lower_bound(X_272,X_273)),multiply(X_272,X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)),inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23))) ),[1,0],$fot(multiply(inverse(greatest_lower_bound(X_272,X_273)),multiply(X_272,X_23)))]]) ).
cnf(refute_0_227,plain,
( multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23) != multiply(inverse(greatest_lower_bound(X_272,X_273)),multiply(X_272,X_23))
| inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)) = inverse(multiply(inverse(greatest_lower_bound(X_272,X_273)),multiply(X_272,X_23))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)),inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)) = inverse(multiply(inverse(greatest_lower_bound(X_272,X_273)),multiply(X_272,X_23))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23),multiply(inverse(greatest_lower_bound(X_272,X_273)),multiply(X_272,X_23))) )],[refute_0_224,refute_0_227]) ).
cnf(refute_0_229,plain,
( inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)) != inverse(multiply(inverse(greatest_lower_bound(X_272,X_273)),multiply(X_272,X_23)))
| inverse(multiply(inverse(greatest_lower_bound(X_272,X_273)),multiply(X_272,X_23))) != multiply(inverse(multiply(X_272,X_23)),greatest_lower_bound(X_272,X_273))
| inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)) = multiply(inverse(multiply(X_272,X_23)),greatest_lower_bound(X_272,X_273)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)))),bind(Y0,$fot(inverse(multiply(inverse(greatest_lower_bound(X_272,X_273)),multiply(X_272,X_23))))),bind(Z0,$fot(multiply(inverse(multiply(X_272,X_23)),greatest_lower_bound(X_272,X_273))))]]) ).
cnf(refute_0_230,plain,
( inverse(multiply(inverse(greatest_lower_bound(X_272,X_273)),multiply(X_272,X_23))) != multiply(inverse(multiply(X_272,X_23)),greatest_lower_bound(X_272,X_273))
| inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)) = multiply(inverse(multiply(X_272,X_23)),greatest_lower_bound(X_272,X_273)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)),inverse(multiply(inverse(greatest_lower_bound(X_272,X_273)),multiply(X_272,X_23)))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)) = multiply(inverse(multiply(X_272,X_23)),greatest_lower_bound(X_272,X_273)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(greatest_lower_bound(X_272,X_273)),multiply(X_272,X_23))),multiply(inverse(multiply(X_272,X_23)),greatest_lower_bound(X_272,X_273))) )],[refute_0_223,refute_0_230]) ).
cnf(refute_0_232,plain,
( inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)) != multiply(inverse(X_23),greatest_lower_bound(identity,multiply(inverse(X_272),X_273)))
| inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)) != multiply(inverse(multiply(X_272,X_23)),greatest_lower_bound(X_272,X_273))
| multiply(inverse(multiply(X_272,X_23)),greatest_lower_bound(X_272,X_273)) = multiply(inverse(X_23),greatest_lower_bound(identity,multiply(inverse(X_272),X_273))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)),multiply(inverse(X_23),greatest_lower_bound(identity,multiply(inverse(X_272),X_273)))) ),[0],$fot(multiply(inverse(multiply(X_272,X_23)),greatest_lower_bound(X_272,X_273)))]]) ).
cnf(refute_0_233,plain,
( inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)) != multiply(inverse(X_23),greatest_lower_bound(identity,multiply(inverse(X_272),X_273)))
| multiply(inverse(multiply(X_272,X_23)),greatest_lower_bound(X_272,X_273)) = multiply(inverse(X_23),greatest_lower_bound(identity,multiply(inverse(X_272),X_273))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)),multiply(inverse(multiply(X_272,X_23)),greatest_lower_bound(X_272,X_273))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
multiply(inverse(multiply(X_272,X_23)),greatest_lower_bound(X_272,X_273)) = multiply(inverse(X_23),greatest_lower_bound(identity,multiply(inverse(X_272),X_273))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(greatest_lower_bound(X_272,X_273)),X_272),X_23)),multiply(inverse(X_23),greatest_lower_bound(identity,multiply(inverse(X_272),X_273)))) )],[refute_0_222,refute_0_233]) ).
cnf(refute_0_235,plain,
multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_410)) = multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))),
inference(subst,[],[refute_0_234:[bind(X_23,$fot(greatest_lower_bound(X_76,X_77))),bind(X_272,$fot(inverse(greatest_lower_bound(X_77,X_76)))),bind(X_273,$fot(X_410))]]) ).
cnf(refute_0_236,plain,
greatest_lower_bound(multiply(X_66,X_68),multiply(X_66,X_67)) = greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,X_68)),
inference(subst,[],[symmetry_of_glb:[bind(X,$fot(multiply(X_66,X_68))),bind(Y,$fot(multiply(X_66,X_67)))]]) ).
cnf(refute_0_237,plain,
multiply(X_66,greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,X_68)),
inference(subst,[],[monotony_glb1:[bind(X,$fot(X_66)),bind(Y,$fot(X_67)),bind(Z,$fot(X_68))]]) ).
cnf(refute_0_238,plain,
( multiply(X_66,greatest_lower_bound(X_67,X_68)) != greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,X_68))
| greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,X_68)) = multiply(X_66,greatest_lower_bound(X_67,X_68)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(X_66,greatest_lower_bound(X_67,X_68)))),bind(Y0,$fot(greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,X_68))))]]) ).
cnf(refute_0_239,plain,
greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,X_68)) = multiply(X_66,greatest_lower_bound(X_67,X_68)),
inference(resolve,[$cnf( $equal(multiply(X_66,greatest_lower_bound(X_67,X_68)),greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,X_68))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
( greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,X_68)) != multiply(X_66,greatest_lower_bound(X_67,X_68))
| greatest_lower_bound(multiply(X_66,X_68),multiply(X_66,X_67)) != greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,X_68))
| greatest_lower_bound(multiply(X_66,X_68),multiply(X_66,X_67)) = multiply(X_66,greatest_lower_bound(X_67,X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(multiply(X_66,X_68),multiply(X_66,X_67)),greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,X_68))) ),[1],$fot(multiply(X_66,greatest_lower_bound(X_67,X_68)))]]) ).
cnf(refute_0_241,plain,
( greatest_lower_bound(multiply(X_66,X_68),multiply(X_66,X_67)) != greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,X_68))
| greatest_lower_bound(multiply(X_66,X_68),multiply(X_66,X_67)) = multiply(X_66,greatest_lower_bound(X_67,X_68)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,X_68)),multiply(X_66,greatest_lower_bound(X_67,X_68))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
greatest_lower_bound(multiply(X_66,X_68),multiply(X_66,X_67)) = multiply(X_66,greatest_lower_bound(X_67,X_68)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_66,X_68),multiply(X_66,X_67)),greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,X_68))) )],[refute_0_236,refute_0_241]) ).
cnf(refute_0_243,plain,
( multiply(X,greatest_lower_bound(Y,Z)) != greatest_lower_bound(multiply(X,Y),multiply(X,Z))
| greatest_lower_bound(multiply(X,Y),multiply(X,Z)) = multiply(X,greatest_lower_bound(Y,Z)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(X,greatest_lower_bound(Y,Z)))),bind(Y0,$fot(greatest_lower_bound(multiply(X,Y),multiply(X,Z))))]]) ).
cnf(refute_0_244,plain,
greatest_lower_bound(multiply(X,Y),multiply(X,Z)) = multiply(X,greatest_lower_bound(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Y),multiply(X,Z))) )],[monotony_glb1,refute_0_243]) ).
cnf(refute_0_245,plain,
greatest_lower_bound(multiply(X_66,X_68),multiply(X_66,X_67)) = multiply(X_66,greatest_lower_bound(X_68,X_67)),
inference(subst,[],[refute_0_244:[bind(X,$fot(X_66)),bind(Y,$fot(X_68)),bind(Z,$fot(X_67))]]) ).
cnf(refute_0_246,plain,
( greatest_lower_bound(multiply(X_66,X_68),multiply(X_66,X_67)) != multiply(X_66,greatest_lower_bound(X_67,X_68))
| greatest_lower_bound(multiply(X_66,X_68),multiply(X_66,X_67)) != multiply(X_66,greatest_lower_bound(X_68,X_67))
| multiply(X_66,greatest_lower_bound(X_68,X_67)) = multiply(X_66,greatest_lower_bound(X_67,X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(multiply(X_66,X_68),multiply(X_66,X_67)),multiply(X_66,greatest_lower_bound(X_67,X_68))) ),[0],$fot(multiply(X_66,greatest_lower_bound(X_68,X_67)))]]) ).
cnf(refute_0_247,plain,
( greatest_lower_bound(multiply(X_66,X_68),multiply(X_66,X_67)) != multiply(X_66,greatest_lower_bound(X_67,X_68))
| multiply(X_66,greatest_lower_bound(X_68,X_67)) = multiply(X_66,greatest_lower_bound(X_67,X_68)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_66,X_68),multiply(X_66,X_67)),multiply(X_66,greatest_lower_bound(X_68,X_67))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
multiply(X_66,greatest_lower_bound(X_68,X_67)) = multiply(X_66,greatest_lower_bound(X_67,X_68)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_66,X_68),multiply(X_66,X_67)),multiply(X_66,greatest_lower_bound(X_67,X_68))) )],[refute_0_242,refute_0_247]) ).
cnf(refute_0_249,plain,
multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_68,X_67)) = multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_67,X_68)),
inference(subst,[],[refute_0_248:[bind(X_66,$fot(inverse(multiply(X_68,X_409))))]]) ).
cnf(refute_0_250,plain,
multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(inverse(X_409),multiply(inverse(multiply(X_68,X_409)),X_67)),
inference(subst,[],[refute_0_178:[bind(X_59,$fot(X_409))]]) ).
cnf(refute_0_251,plain,
( multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_67,X_68)) != greatest_lower_bound(inverse(X_409),multiply(inverse(multiply(X_68,X_409)),X_67))
| multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_68,X_67)) != multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_67,X_68))
| multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_68,X_67)) = greatest_lower_bound(inverse(X_409),multiply(inverse(multiply(X_68,X_409)),X_67)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_68,X_67)),multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_67,X_68))) ),[1],$fot(greatest_lower_bound(inverse(X_409),multiply(inverse(multiply(X_68,X_409)),X_67)))]]) ).
cnf(refute_0_252,plain,
( multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_68,X_67)) != multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_67,X_68))
| multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_68,X_67)) = greatest_lower_bound(inverse(X_409),multiply(inverse(multiply(X_68,X_409)),X_67)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_67,X_68)),greatest_lower_bound(inverse(X_409),multiply(inverse(multiply(X_68,X_409)),X_67))) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_68,X_67)) = greatest_lower_bound(inverse(X_409),multiply(inverse(multiply(X_68,X_409)),X_67)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_68,X_67)),multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_67,X_68))) )],[refute_0_249,refute_0_252]) ).
cnf(refute_0_254,plain,
( multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_68,X_67)) != greatest_lower_bound(inverse(X_409),multiply(inverse(multiply(X_68,X_409)),X_67))
| greatest_lower_bound(inverse(X_409),multiply(inverse(multiply(X_68,X_409)),X_67)) = multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_68,X_67)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_68,X_67)))),bind(Y0,$fot(greatest_lower_bound(inverse(X_409),multiply(inverse(multiply(X_68,X_409)),X_67))))]]) ).
cnf(refute_0_255,plain,
greatest_lower_bound(inverse(X_409),multiply(inverse(multiply(X_68,X_409)),X_67)) = multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_68,X_67)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_68,X_409)),greatest_lower_bound(X_68,X_67)),greatest_lower_bound(inverse(X_409),multiply(inverse(multiply(X_68,X_409)),X_67))) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)) = multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_410)),
inference(subst,[],[refute_0_255:[bind(X_409,$fot(greatest_lower_bound(X_76,X_77))),bind(X_67,$fot(X_410)),bind(X_68,$fot(inverse(greatest_lower_bound(X_77,X_76))))]]) ).
cnf(refute_0_257,plain,
( multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_410)) != multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)))
| greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)) != multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_410))
| greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)) = multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)))),bind(Y0,$fot(multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_410)))),bind(Z0,$fot(multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)))))]]) ).
cnf(refute_0_258,plain,
( multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_410)) != multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)))
| greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)) = multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_410))) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)) = multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_410)),multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)))) )],[refute_0_235,refute_0_258]) ).
cnf(refute_0_260,plain,
( multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))) != multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410)))
| greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)) != multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)))
| greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)) = multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)))),bind(Y0,$fot(multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))))),bind(Z0,$fot(multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410)))))]]) ).
cnf(refute_0_261,plain,
( multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))) != multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410)))
| greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)) = multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)),multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410)))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)) = multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410))),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_410))),multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410)))) )],[refute_0_205,refute_0_261]) ).
cnf(refute_0_263,plain,
( greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))) != greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410))
| greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)) != multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410)))
| greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))) = multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))),multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410)))) ),[0],$fot(greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)))]]) ).
cnf(refute_0_264,plain,
( greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))) != greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410))
| greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))) = multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410)),multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410)))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
( multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))) != greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410))
| greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))) = multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))),greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410))) )],[refute_0_192,refute_0_264]) ).
cnf(refute_0_266,plain,
greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))) = multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410))),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76)))),greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),X_410))) )],[refute_0_182,refute_0_265]) ).
cnf(refute_0_267,plain,
( greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))) != multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410)))
| multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410))) = greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))))),bind(Y0,$fot(multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410)))))]]) ).
cnf(refute_0_268,plain,
multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410))) = greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_410,inverse(greatest_lower_bound(X_77,X_76))),multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_410)))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_414))) = greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))),
inference(subst,[],[refute_0_268:[bind(X_410,$fot(X_414))]]) ).
cnf(refute_0_270,plain,
multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414) = multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))]]) ).
cnf(refute_0_271,plain,
( multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414) != multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414)
| inverse(inverse(greatest_lower_bound(X_77,X_76))) != greatest_lower_bound(X_77,X_76)
| multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414) = multiply(greatest_lower_bound(X_77,X_76),X_414) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414),multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414)) ),[1,0],$fot(greatest_lower_bound(X_77,X_76))]]) ).
cnf(refute_0_272,plain,
( inverse(inverse(greatest_lower_bound(X_77,X_76))) != greatest_lower_bound(X_77,X_76)
| multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414) = multiply(greatest_lower_bound(X_77,X_76),X_414) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414),multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414)) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414) = multiply(greatest_lower_bound(X_77,X_76),X_414),
inference(resolve,[$cnf( $equal(inverse(inverse(greatest_lower_bound(X_77,X_76))),greatest_lower_bound(X_77,X_76)) )],[refute_0_193,refute_0_272]) ).
cnf(refute_0_274,plain,
greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414)) = greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414)),
introduced(tautology,[refl,[$fot(greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414)))]]) ).
cnf(refute_0_275,plain,
( multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414) != multiply(greatest_lower_bound(X_77,X_76),X_414)
| greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414)) != greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))
| greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414)) = greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_414)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))) ),[1,1],$fot(multiply(greatest_lower_bound(X_77,X_76),X_414))]]) ).
cnf(refute_0_276,plain,
( multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414) != multiply(greatest_lower_bound(X_77,X_76),X_414)
| greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414)) = greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_414)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414)) = greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_414)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414),multiply(greatest_lower_bound(X_77,X_76),X_414)) )],[refute_0_273,refute_0_276]) ).
cnf(refute_0_278,plain,
multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))) = multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))),
introduced(tautology,[refl,[$fot(multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))))]]) ).
cnf(refute_0_279,plain,
( multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))) != multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414)))
| greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414)) != greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_414))
| multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))) = multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_414))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))),multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414)))) ),[1,1],$fot(greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_414)))]]) ).
cnf(refute_0_280,plain,
( greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414)) != greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_414))
| multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))) = multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_414))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))),multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414)))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))) = multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_414))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_414))) )],[refute_0_277,refute_0_280]) ).
cnf(refute_0_282,plain,
( multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_414))) != greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76)))
| multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))) != multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_414)))
| multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))) = greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))))),bind(Y0,$fot(multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_414))))),bind(Z0,$fot(greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76)))))]]) ).
cnf(refute_0_283,plain,
( multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_414))) != greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76)))
| multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))) = greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))),multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_414)))) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))) = greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(greatest_lower_bound(X_77,X_76),X_414))),greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76)))) )],[refute_0_269,refute_0_283]) ).
cnf(refute_0_285,plain,
multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) = greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68))),
inference(subst,[],[refute_0_163:[bind(X_59,$fot(X_412)),bind(X_67,$fot(identity)),bind(X_68,$fot(multiply(inverse(X_67),X_68)))]]) ).
cnf(refute_0_286,plain,
( multiply(inverse(X_67),greatest_lower_bound(X_67,X_68)) != greatest_lower_bound(identity,multiply(inverse(X_67),X_68))
| greatest_lower_bound(identity,multiply(inverse(X_67),X_68)) = multiply(inverse(X_67),greatest_lower_bound(X_67,X_68)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(inverse(X_67),greatest_lower_bound(X_67,X_68)))),bind(Y0,$fot(greatest_lower_bound(identity,multiply(inverse(X_67),X_68))))]]) ).
cnf(refute_0_287,plain,
greatest_lower_bound(identity,multiply(inverse(X_67),X_68)) = multiply(inverse(X_67),greatest_lower_bound(X_67,X_68)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_67),greatest_lower_bound(X_67,X_68)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) )],[refute_0_41,refute_0_286]) ).
cnf(refute_0_288,plain,
( multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) != greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68)))
| greatest_lower_bound(identity,multiply(inverse(X_67),X_68)) != multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))
| multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) = greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))),greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68)))) ),[0,1],$fot(multiply(inverse(X_67),greatest_lower_bound(X_67,X_68)))]]) ).
cnf(refute_0_289,plain,
( multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) != greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68)))
| multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) = greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(inverse(X_67),X_68)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) = greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))),greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68)))) )],[refute_0_285,refute_0_289]) ).
cnf(refute_0_291,plain,
multiply(identity,X_412) = X_412,
inference(subst,[],[left_identity:[bind(X,$fot(X_412))]]) ).
cnf(refute_0_292,plain,
multiply(X_67,multiply(identity,X_412)) = multiply(X_67,multiply(identity,X_412)),
introduced(tautology,[refl,[$fot(multiply(X_67,multiply(identity,X_412)))]]) ).
cnf(refute_0_293,plain,
( multiply(X_67,multiply(identity,X_412)) != multiply(X_67,multiply(identity,X_412))
| multiply(identity,X_412) != X_412
| multiply(X_67,multiply(identity,X_412)) = multiply(X_67,X_412) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_67,multiply(identity,X_412)),multiply(X_67,multiply(identity,X_412))) ),[1,1],$fot(X_412)]]) ).
cnf(refute_0_294,plain,
( multiply(identity,X_412) != X_412
| multiply(X_67,multiply(identity,X_412)) = multiply(X_67,X_412) ),
inference(resolve,[$cnf( $equal(multiply(X_67,multiply(identity,X_412)),multiply(X_67,multiply(identity,X_412))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
multiply(X_67,multiply(identity,X_412)) = multiply(X_67,X_412),
inference(resolve,[$cnf( $equal(multiply(identity,X_412),X_412) )],[refute_0_291,refute_0_294]) ).
cnf(refute_0_296,plain,
inverse(multiply(X_67,multiply(identity,X_412))) = inverse(multiply(X_67,multiply(identity,X_412))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_67,multiply(identity,X_412))))]]) ).
cnf(refute_0_297,plain,
( multiply(X_67,multiply(identity,X_412)) != multiply(X_67,X_412)
| inverse(multiply(X_67,multiply(identity,X_412))) != inverse(multiply(X_67,multiply(identity,X_412)))
| inverse(multiply(X_67,multiply(identity,X_412))) = inverse(multiply(X_67,X_412)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_67,multiply(identity,X_412))),inverse(multiply(X_67,multiply(identity,X_412)))) ),[1,0],$fot(multiply(X_67,X_412))]]) ).
cnf(refute_0_298,plain,
( multiply(X_67,multiply(identity,X_412)) != multiply(X_67,X_412)
| inverse(multiply(X_67,multiply(identity,X_412))) = inverse(multiply(X_67,X_412)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_67,multiply(identity,X_412))),inverse(multiply(X_67,multiply(identity,X_412)))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
inverse(multiply(X_67,multiply(identity,X_412))) = inverse(multiply(X_67,X_412)),
inference(resolve,[$cnf( $equal(multiply(X_67,multiply(identity,X_412)),multiply(X_67,X_412)) )],[refute_0_295,refute_0_298]) ).
cnf(refute_0_300,plain,
multiply(inverse(multiply(X_67,multiply(identity,X_412))),greatest_lower_bound(X_67,X_68)) = multiply(inverse(multiply(X_67,multiply(identity,X_412))),greatest_lower_bound(X_67,X_68)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_67,multiply(identity,X_412))),greatest_lower_bound(X_67,X_68)))]]) ).
cnf(refute_0_301,plain,
( multiply(inverse(multiply(X_67,multiply(identity,X_412))),greatest_lower_bound(X_67,X_68)) != multiply(inverse(multiply(X_67,multiply(identity,X_412))),greatest_lower_bound(X_67,X_68))
| inverse(multiply(X_67,multiply(identity,X_412))) != inverse(multiply(X_67,X_412))
| multiply(inverse(multiply(X_67,multiply(identity,X_412))),greatest_lower_bound(X_67,X_68)) = multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_67,multiply(identity,X_412))),greatest_lower_bound(X_67,X_68)),multiply(inverse(multiply(X_67,multiply(identity,X_412))),greatest_lower_bound(X_67,X_68))) ),[1,0],$fot(inverse(multiply(X_67,X_412)))]]) ).
cnf(refute_0_302,plain,
( inverse(multiply(X_67,multiply(identity,X_412))) != inverse(multiply(X_67,X_412))
| multiply(inverse(multiply(X_67,multiply(identity,X_412))),greatest_lower_bound(X_67,X_68)) = multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_67,multiply(identity,X_412))),greatest_lower_bound(X_67,X_68)),multiply(inverse(multiply(X_67,multiply(identity,X_412))),greatest_lower_bound(X_67,X_68))) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
multiply(inverse(multiply(X_67,multiply(identity,X_412))),greatest_lower_bound(X_67,X_68)) = multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_67,multiply(identity,X_412))),inverse(multiply(X_67,X_412))) )],[refute_0_299,refute_0_302]) ).
cnf(refute_0_304,plain,
inverse(multiply(inverse(multiply(inverse(X_26),X_27)),X_23)) = multiply(inverse(X_23),multiply(inverse(X_26),X_27)),
inference(subst,[],[refute_0_63:[bind(X,$fot(multiply(inverse(X_26),X_27)))]]) ).
cnf(refute_0_305,plain,
inverse(multiply(inverse(X_26),X_27)) = multiply(inverse(X_27),X_26),
inference(subst,[],[refute_0_63:[bind(X,$fot(X_26)),bind(X_23,$fot(X_27))]]) ).
cnf(refute_0_306,plain,
( inverse(multiply(inverse(X_26),X_27)) != multiply(inverse(X_27),X_26)
| inverse(multiply(inverse(multiply(inverse(X_26),X_27)),X_23)) != multiply(inverse(X_23),multiply(inverse(X_26),X_27))
| inverse(multiply(multiply(inverse(X_27),X_26),X_23)) = multiply(inverse(X_23),multiply(inverse(X_26),X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(X_26),X_27)),X_23)),multiply(inverse(X_23),multiply(inverse(X_26),X_27))) ),[0,0,0],$fot(multiply(inverse(X_27),X_26))]]) ).
cnf(refute_0_307,plain,
( inverse(multiply(inverse(multiply(inverse(X_26),X_27)),X_23)) != multiply(inverse(X_23),multiply(inverse(X_26),X_27))
| inverse(multiply(multiply(inverse(X_27),X_26),X_23)) = multiply(inverse(X_23),multiply(inverse(X_26),X_27)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_26),X_27)),multiply(inverse(X_27),X_26)) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
inverse(multiply(multiply(inverse(X_27),X_26),X_23)) = multiply(inverse(X_23),multiply(inverse(X_26),X_27)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(X_26),X_27)),X_23)),multiply(inverse(X_23),multiply(inverse(X_26),X_27))) )],[refute_0_304,refute_0_307]) ).
cnf(refute_0_309,plain,
inverse(multiply(inverse(X_27),multiply(X_26,X_23))) = multiply(inverse(multiply(X_26,X_23)),X_27),
inference(subst,[],[refute_0_63:[bind(X,$fot(X_27)),bind(X_23,$fot(multiply(X_26,X_23)))]]) ).
cnf(refute_0_310,plain,
multiply(multiply(inverse(X_27),X_26),X_23) = multiply(inverse(X_27),multiply(X_26,X_23)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_27))),bind(Y,$fot(X_26)),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_311,plain,
inverse(multiply(multiply(inverse(X_27),X_26),X_23)) = inverse(multiply(multiply(inverse(X_27),X_26),X_23)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(inverse(X_27),X_26),X_23)))]]) ).
cnf(refute_0_312,plain,
( multiply(multiply(inverse(X_27),X_26),X_23) != multiply(inverse(X_27),multiply(X_26,X_23))
| inverse(multiply(multiply(inverse(X_27),X_26),X_23)) != inverse(multiply(multiply(inverse(X_27),X_26),X_23))
| inverse(multiply(multiply(inverse(X_27),X_26),X_23)) = inverse(multiply(inverse(X_27),multiply(X_26,X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(X_27),X_26),X_23)),inverse(multiply(multiply(inverse(X_27),X_26),X_23))) ),[1,0],$fot(multiply(inverse(X_27),multiply(X_26,X_23)))]]) ).
cnf(refute_0_313,plain,
( multiply(multiply(inverse(X_27),X_26),X_23) != multiply(inverse(X_27),multiply(X_26,X_23))
| inverse(multiply(multiply(inverse(X_27),X_26),X_23)) = inverse(multiply(inverse(X_27),multiply(X_26,X_23))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_27),X_26),X_23)),inverse(multiply(multiply(inverse(X_27),X_26),X_23))) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
inverse(multiply(multiply(inverse(X_27),X_26),X_23)) = inverse(multiply(inverse(X_27),multiply(X_26,X_23))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_27),X_26),X_23),multiply(inverse(X_27),multiply(X_26,X_23))) )],[refute_0_310,refute_0_313]) ).
cnf(refute_0_315,plain,
( inverse(multiply(multiply(inverse(X_27),X_26),X_23)) != inverse(multiply(inverse(X_27),multiply(X_26,X_23)))
| inverse(multiply(inverse(X_27),multiply(X_26,X_23))) != multiply(inverse(multiply(X_26,X_23)),X_27)
| inverse(multiply(multiply(inverse(X_27),X_26),X_23)) = multiply(inverse(multiply(X_26,X_23)),X_27) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(inverse(multiply(multiply(inverse(X_27),X_26),X_23)))),bind(Y0,$fot(inverse(multiply(inverse(X_27),multiply(X_26,X_23))))),bind(Z0,$fot(multiply(inverse(multiply(X_26,X_23)),X_27)))]]) ).
cnf(refute_0_316,plain,
( inverse(multiply(inverse(X_27),multiply(X_26,X_23))) != multiply(inverse(multiply(X_26,X_23)),X_27)
| inverse(multiply(multiply(inverse(X_27),X_26),X_23)) = multiply(inverse(multiply(X_26,X_23)),X_27) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_27),X_26),X_23)),inverse(multiply(inverse(X_27),multiply(X_26,X_23)))) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
inverse(multiply(multiply(inverse(X_27),X_26),X_23)) = multiply(inverse(multiply(X_26,X_23)),X_27),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_27),multiply(X_26,X_23))),multiply(inverse(multiply(X_26,X_23)),X_27)) )],[refute_0_309,refute_0_316]) ).
cnf(refute_0_318,plain,
( inverse(multiply(multiply(inverse(X_27),X_26),X_23)) != multiply(inverse(X_23),multiply(inverse(X_26),X_27))
| inverse(multiply(multiply(inverse(X_27),X_26),X_23)) != multiply(inverse(multiply(X_26,X_23)),X_27)
| multiply(inverse(multiply(X_26,X_23)),X_27) = multiply(inverse(X_23),multiply(inverse(X_26),X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(X_27),X_26),X_23)),multiply(inverse(X_23),multiply(inverse(X_26),X_27))) ),[0],$fot(multiply(inverse(multiply(X_26,X_23)),X_27))]]) ).
cnf(refute_0_319,plain,
( inverse(multiply(multiply(inverse(X_27),X_26),X_23)) != multiply(inverse(X_23),multiply(inverse(X_26),X_27))
| multiply(inverse(multiply(X_26,X_23)),X_27) = multiply(inverse(X_23),multiply(inverse(X_26),X_27)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_27),X_26),X_23)),multiply(inverse(multiply(X_26,X_23)),X_27)) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
multiply(inverse(multiply(X_26,X_23)),X_27) = multiply(inverse(X_23),multiply(inverse(X_26),X_27)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_27),X_26),X_23)),multiply(inverse(X_23),multiply(inverse(X_26),X_27))) )],[refute_0_308,refute_0_319]) ).
cnf(refute_0_321,plain,
( multiply(inverse(multiply(X_26,X_23)),X_27) != multiply(inverse(X_23),multiply(inverse(X_26),X_27))
| multiply(inverse(X_23),multiply(inverse(X_26),X_27)) = multiply(inverse(multiply(X_26,X_23)),X_27) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(inverse(multiply(X_26,X_23)),X_27))),bind(Y0,$fot(multiply(inverse(X_23),multiply(inverse(X_26),X_27))))]]) ).
cnf(refute_0_322,plain,
multiply(inverse(X_23),multiply(inverse(X_26),X_27)) = multiply(inverse(multiply(X_26,X_23)),X_27),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_26,X_23)),X_27),multiply(inverse(X_23),multiply(inverse(X_26),X_27))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) = multiply(inverse(multiply(X_67,multiply(identity,X_412))),greatest_lower_bound(X_67,X_68)),
inference(subst,[],[refute_0_322:[bind(X_23,$fot(multiply(identity,X_412))),bind(X_26,$fot(X_67)),bind(X_27,$fot(greatest_lower_bound(X_67,X_68)))]]) ).
cnf(refute_0_324,plain,
( multiply(inverse(multiply(X_67,multiply(identity,X_412))),greatest_lower_bound(X_67,X_68)) != multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68))
| multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) != multiply(inverse(multiply(X_67,multiply(identity,X_412))),greatest_lower_bound(X_67,X_68))
| multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) = multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))))),bind(Y0,$fot(multiply(inverse(multiply(X_67,multiply(identity,X_412))),greatest_lower_bound(X_67,X_68)))),bind(Z0,$fot(multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68))))]]) ).
cnf(refute_0_325,plain,
( multiply(inverse(multiply(X_67,multiply(identity,X_412))),greatest_lower_bound(X_67,X_68)) != multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68))
| multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) = multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))),multiply(inverse(multiply(X_67,multiply(identity,X_412))),greatest_lower_bound(X_67,X_68))) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) = multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_67,multiply(identity,X_412))),greatest_lower_bound(X_67,X_68)),multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68))) )],[refute_0_303,refute_0_325]) ).
cnf(refute_0_327,plain,
( multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) != multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68))
| multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) != greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68)))
| multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))),greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68)))) ),[0],$fot(multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68)))]]) ).
cnf(refute_0_328,plain,
( multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) != greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68)))
| multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))),multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68))) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
inverse(multiply(identity,X_412)) = inverse(multiply(identity,X_412)),
introduced(tautology,[refl,[$fot(inverse(multiply(identity,X_412)))]]) ).
cnf(refute_0_330,plain,
( multiply(identity,X_412) != X_412
| inverse(multiply(identity,X_412)) != inverse(multiply(identity,X_412))
| inverse(multiply(identity,X_412)) = inverse(X_412) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(identity,X_412)),inverse(multiply(identity,X_412))) ),[1,0],$fot(X_412)]]) ).
cnf(refute_0_331,plain,
( multiply(identity,X_412) != X_412
| inverse(multiply(identity,X_412)) = inverse(X_412) ),
inference(resolve,[$cnf( $equal(inverse(multiply(identity,X_412)),inverse(multiply(identity,X_412))) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
inverse(multiply(identity,X_412)) = inverse(X_412),
inference(resolve,[$cnf( $equal(multiply(identity,X_412),X_412) )],[refute_0_291,refute_0_331]) ).
cnf(refute_0_333,plain,
multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) = multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))))]]) ).
cnf(refute_0_334,plain,
( multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) != multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68)))
| inverse(multiply(identity,X_412)) != inverse(X_412)
| multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) = multiply(inverse(X_412),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))),multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68)))) ),[1,0],$fot(inverse(X_412))]]) ).
cnf(refute_0_335,plain,
( inverse(multiply(identity,X_412)) != inverse(X_412)
| multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) = multiply(inverse(X_412),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))),multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68)))) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) = multiply(inverse(X_412),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))),
inference(resolve,[$cnf( $equal(inverse(multiply(identity,X_412)),inverse(X_412)) )],[refute_0_332,refute_0_335]) ).
cnf(refute_0_337,plain,
greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68))) = multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))),
inference(subst,[],[refute_0_255:[bind(X_409,$fot(X_412)),bind(X_67,$fot(multiply(inverse(X_67),X_68))),bind(X_68,$fot(identity))]]) ).
cnf(refute_0_338,plain,
( multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) != multiply(inverse(X_412),greatest_lower_bound(identity,multiply(inverse(X_67),X_68)))
| greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68))) != multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68)))
| greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68))) = multiply(inverse(X_412),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68))))),bind(Y0,$fot(multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))))),bind(Z0,$fot(multiply(inverse(X_412),greatest_lower_bound(identity,multiply(inverse(X_67),X_68)))))]]) ).
cnf(refute_0_339,plain,
( multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) != multiply(inverse(X_412),greatest_lower_bound(identity,multiply(inverse(X_67),X_68)))
| greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68))) = multiply(inverse(X_412),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68))),multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68)))) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68))) = multiply(inverse(X_412),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(identity,X_412)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))),multiply(inverse(X_412),greatest_lower_bound(identity,multiply(inverse(X_67),X_68)))) )],[refute_0_336,refute_0_339]) ).
cnf(refute_0_341,plain,
( multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68)) != greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68)))
| greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68))) != multiply(inverse(X_412),greatest_lower_bound(identity,multiply(inverse(X_67),X_68)))
| multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68)) = multiply(inverse(X_412),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68)),multiply(inverse(X_412),greatest_lower_bound(identity,multiply(inverse(X_67),X_68)))) ),[0],$fot(greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68))))]]) ).
cnf(refute_0_342,plain,
( multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68)) != greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68)))
| multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68)) = multiply(inverse(X_412),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68))),multiply(inverse(X_412),greatest_lower_bound(identity,multiply(inverse(X_67),X_68)))) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
( multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) != greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68)))
| multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68)) = multiply(inverse(X_412),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68)),greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68)))) )],[refute_0_328,refute_0_342]) ).
cnf(refute_0_344,plain,
multiply(inverse(multiply(X_67,X_412)),greatest_lower_bound(X_67,X_68)) = multiply(inverse(X_412),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))),greatest_lower_bound(inverse(X_412),multiply(inverse(multiply(identity,X_412)),multiply(inverse(X_67),X_68)))) )],[refute_0_290,refute_0_343]) ).
cnf(refute_0_345,plain,
multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)) = multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))),
inference(subst,[],[refute_0_344:[bind(X_412,$fot(greatest_lower_bound(X_76,X_77))),bind(X_67,$fot(inverse(greatest_lower_bound(X_77,X_76)))),bind(X_68,$fot(X_414))]]) ).
cnf(refute_0_346,plain,
( multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)) != multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414)))
| multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))) != greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76)))
| multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)) = greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)))),bind(Y0,$fot(multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))))),bind(Z0,$fot(greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76)))))]]) ).
cnf(refute_0_347,plain,
( multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))) != greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76)))
| multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)) = greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)),multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414)))) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)) = greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_76,X_77)),greatest_lower_bound(identity,multiply(inverse(inverse(greatest_lower_bound(X_77,X_76))),X_414))),greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76)))) )],[refute_0_284,refute_0_347]) ).
cnf(refute_0_349,plain,
( multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)) != greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76)))
| multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)) != greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414))
| greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))) = greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)),greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414))) ),[0],$fot(greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))))]]) ).
cnf(refute_0_350,plain,
( multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)) != greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414))
| greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))) = greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)),greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76)))) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
multiply(identity,X_414) = X_414,
inference(subst,[],[left_identity:[bind(X,$fot(X_414))]]) ).
cnf(refute_0_352,plain,
multiply(inverse(identity),X_414) = multiply(inverse(identity),X_414),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),X_414))]]) ).
cnf(refute_0_353,plain,
( multiply(inverse(identity),X_414) != multiply(inverse(identity),X_414)
| inverse(identity) != identity
| multiply(inverse(identity),X_414) = multiply(identity,X_414) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),X_414),multiply(inverse(identity),X_414)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_354,plain,
( inverse(identity) != identity
| multiply(inverse(identity),X_414) = multiply(identity,X_414) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),X_414),multiply(inverse(identity),X_414)) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
multiply(inverse(identity),X_414) = multiply(identity,X_414),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[p20_1,refute_0_354]) ).
cnf(refute_0_356,plain,
( multiply(identity,X_414) != X_414
| multiply(inverse(identity),X_414) != multiply(identity,X_414)
| multiply(inverse(identity),X_414) = X_414 ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(identity),X_414))),bind(Y0,$fot(multiply(identity,X_414))),bind(Z0,$fot(X_414))]]) ).
cnf(refute_0_357,plain,
( multiply(identity,X_414) != X_414
| multiply(inverse(identity),X_414) = X_414 ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),X_414),multiply(identity,X_414)) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
multiply(inverse(identity),X_414) = X_414,
inference(resolve,[$cnf( $equal(multiply(identity,X_414),X_414) )],[refute_0_351,refute_0_357]) ).
cnf(refute_0_359,plain,
greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414)) = greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414)),
introduced(tautology,[refl,[$fot(greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414)))]]) ).
cnf(refute_0_360,plain,
( multiply(inverse(identity),X_414) != X_414
| greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414)) != greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414))
| greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414)) = greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),X_414) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414)),greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414))) ),[1,1],$fot(X_414)]]) ).
cnf(refute_0_361,plain,
( multiply(inverse(identity),X_414) != X_414
| greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414)) = greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),X_414) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414)),greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414)) = greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),X_414),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),X_414),X_414) )],[refute_0_358,refute_0_361]) ).
cnf(refute_0_363,plain,
( greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))) != greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414))
| greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414)) != greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),X_414)
| greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))) = greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),X_414) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))),greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),X_414)) ),[0],$fot(greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414)))]]) ).
cnf(refute_0_364,plain,
( greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))) != greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414))
| greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))) = greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),X_414) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414)),greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),X_414)) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
( multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)) != greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414))
| greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))) = greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),X_414) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))),greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414))) )],[refute_0_350,refute_0_364]) ).
cnf(refute_0_366,plain,
greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))) = greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),X_414),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),greatest_lower_bound(X_76,X_77))),greatest_lower_bound(inverse(greatest_lower_bound(X_77,X_76)),X_414)),greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),multiply(inverse(identity),X_414))) )],[refute_0_167,refute_0_365]) ).
cnf(refute_0_367,plain,
( greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))) != greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),X_414)
| greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),X_414) = greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))))),bind(Y0,$fot(greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),X_414)))]]) ).
cnf(refute_0_368,plain,
greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),X_414) = greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_414,inverse(greatest_lower_bound(X_77,X_76))),greatest_lower_bound(inverse(greatest_lower_bound(X_76,X_77)),X_414)) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),least_upper_bound(X_67,identity)) = greatest_lower_bound(least_upper_bound(X_67,identity),inverse(greatest_lower_bound(X_67,identity))),
inference(subst,[],[refute_0_368:[bind(X_414,$fot(least_upper_bound(X_67,identity))),bind(X_76,$fot(identity)),bind(X_77,$fot(X_67))]]) ).
cnf(refute_0_370,plain,
inverse(inverse(least_upper_bound(X_67,identity))) = least_upper_bound(X_67,identity),
inference(subst,[],[p20_2:[bind(X,$fot(least_upper_bound(X_67,identity)))]]) ).
cnf(refute_0_371,plain,
inverse(X) = multiply(inverse(inverse(Y)),multiply(inverse(Y),inverse(X))),
inference(subst,[],[refute_0_92:[bind(X_56,$fot(inverse(Y))),bind(X_57,$fot(inverse(X)))]]) ).
cnf(refute_0_372,plain,
( multiply(inverse(Y),inverse(X)) != inverse(multiply(X,Y))
| inverse(X) != multiply(inverse(inverse(Y)),multiply(inverse(Y),inverse(X)))
| inverse(X) = multiply(inverse(inverse(Y)),inverse(multiply(X,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),multiply(inverse(inverse(Y)),multiply(inverse(Y),inverse(X)))) ),[1,1],$fot(inverse(multiply(X,Y)))]]) ).
cnf(refute_0_373,plain,
( inverse(X) != multiply(inverse(inverse(Y)),multiply(inverse(Y),inverse(X)))
| inverse(X) = multiply(inverse(inverse(Y)),inverse(multiply(X,Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),inverse(X)),inverse(multiply(X,Y))) )],[refute_0_66,refute_0_372]) ).
cnf(refute_0_374,plain,
inverse(X) = multiply(inverse(inverse(Y)),inverse(multiply(X,Y))),
inference(resolve,[$cnf( $equal(inverse(X),multiply(inverse(inverse(Y)),multiply(inverse(Y),inverse(X)))) )],[refute_0_371,refute_0_373]) ).
cnf(refute_0_375,plain,
inverse(multiply(X_22,inverse(X))) = multiply(inverse(inverse(X)),inverse(X_22)),
inference(subst,[],[p20_3:[bind(X,$fot(X_22)),bind(Y,$fot(inverse(X)))]]) ).
cnf(refute_0_376,plain,
( inverse(multiply(X_22,inverse(X))) != multiply(inverse(inverse(X)),inverse(X_22))
| inverse(inverse(X)) != X
| inverse(multiply(X_22,inverse(X))) = multiply(X,inverse(X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_22,inverse(X))),multiply(inverse(inverse(X)),inverse(X_22))) ),[1,0],$fot(X)]]) ).
cnf(refute_0_377,plain,
( inverse(multiply(X_22,inverse(X))) != multiply(inverse(inverse(X)),inverse(X_22))
| inverse(multiply(X_22,inverse(X))) = multiply(X,inverse(X_22)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X)),X) )],[p20_2,refute_0_376]) ).
cnf(refute_0_378,plain,
inverse(multiply(X_22,inverse(X))) = multiply(X,inverse(X_22)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_22,inverse(X))),multiply(inverse(inverse(X)),inverse(X_22))) )],[refute_0_375,refute_0_377]) ).
cnf(refute_0_379,plain,
inverse(multiply(multiply(X,Y),inverse(Y))) = multiply(Y,inverse(multiply(X,Y))),
inference(subst,[],[refute_0_378:[bind(X,$fot(Y)),bind(X_22,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_380,plain,
multiply(inverse(inverse(Y)),inverse(multiply(X,Y))) = inverse(multiply(multiply(X,Y),inverse(Y))),
inference(subst,[],[refute_0_66:[bind(X,$fot(multiply(X,Y))),bind(Y,$fot(inverse(Y)))]]) ).
cnf(refute_0_381,plain,
( multiply(inverse(inverse(Y)),inverse(multiply(X,Y))) != inverse(multiply(multiply(X,Y),inverse(Y)))
| inverse(multiply(multiply(X,Y),inverse(Y))) != multiply(Y,inverse(multiply(X,Y)))
| multiply(inverse(inverse(Y)),inverse(multiply(X,Y))) = multiply(Y,inverse(multiply(X,Y))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(inverse(Y)),inverse(multiply(X,Y))))),bind(Y0,$fot(inverse(multiply(multiply(X,Y),inverse(Y))))),bind(Z0,$fot(multiply(Y,inverse(multiply(X,Y)))))]]) ).
cnf(refute_0_382,plain,
( inverse(multiply(multiply(X,Y),inverse(Y))) != multiply(Y,inverse(multiply(X,Y)))
| multiply(inverse(inverse(Y)),inverse(multiply(X,Y))) = multiply(Y,inverse(multiply(X,Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),inverse(multiply(X,Y))),inverse(multiply(multiply(X,Y),inverse(Y)))) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
multiply(inverse(inverse(Y)),inverse(multiply(X,Y))) = multiply(Y,inverse(multiply(X,Y))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X,Y),inverse(Y))),multiply(Y,inverse(multiply(X,Y)))) )],[refute_0_379,refute_0_382]) ).
cnf(refute_0_384,plain,
( multiply(inverse(inverse(Y)),inverse(multiply(X,Y))) != multiply(Y,inverse(multiply(X,Y)))
| inverse(X) != multiply(inverse(inverse(Y)),inverse(multiply(X,Y)))
| inverse(X) = multiply(Y,inverse(multiply(X,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),multiply(inverse(inverse(Y)),inverse(multiply(X,Y)))) ),[1],$fot(multiply(Y,inverse(multiply(X,Y))))]]) ).
cnf(refute_0_385,plain,
( inverse(X) != multiply(inverse(inverse(Y)),inverse(multiply(X,Y)))
| inverse(X) = multiply(Y,inverse(multiply(X,Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),inverse(multiply(X,Y))),multiply(Y,inverse(multiply(X,Y)))) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
inverse(X) = multiply(Y,inverse(multiply(X,Y))),
inference(resolve,[$cnf( $equal(inverse(X),multiply(inverse(inverse(Y)),inverse(multiply(X,Y)))) )],[refute_0_374,refute_0_385]) ).
cnf(refute_0_387,plain,
inverse(X) = multiply(greatest_lower_bound(inverse(X),X_72),inverse(multiply(X,greatest_lower_bound(inverse(X),X_72)))),
inference(subst,[],[refute_0_386:[bind(Y,$fot(greatest_lower_bound(inverse(X),X_72)))]]) ).
cnf(refute_0_388,plain,
multiply(X_66,greatest_lower_bound(inverse(X_66),X_68)) = greatest_lower_bound(multiply(X_66,inverse(X_66)),multiply(X_66,X_68)),
inference(subst,[],[monotony_glb1:[bind(X,$fot(X_66)),bind(Y,$fot(inverse(X_66))),bind(Z,$fot(X_68))]]) ).
cnf(refute_0_389,plain,
( multiply(X_66,greatest_lower_bound(inverse(X_66),X_68)) != greatest_lower_bound(multiply(X_66,inverse(X_66)),multiply(X_66,X_68))
| multiply(X_66,inverse(X_66)) != identity
| multiply(X_66,greatest_lower_bound(inverse(X_66),X_68)) = greatest_lower_bound(identity,multiply(X_66,X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_66,greatest_lower_bound(inverse(X_66),X_68)),greatest_lower_bound(multiply(X_66,inverse(X_66)),multiply(X_66,X_68))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_390,plain,
( multiply(X_66,greatest_lower_bound(inverse(X_66),X_68)) != greatest_lower_bound(multiply(X_66,inverse(X_66)),multiply(X_66,X_68))
| multiply(X_66,greatest_lower_bound(inverse(X_66),X_68)) = greatest_lower_bound(identity,multiply(X_66,X_68)) ),
inference(resolve,[$cnf( $equal(multiply(X_66,inverse(X_66)),identity) )],[refute_0_128,refute_0_389]) ).
cnf(refute_0_391,plain,
multiply(X_66,greatest_lower_bound(inverse(X_66),X_68)) = greatest_lower_bound(identity,multiply(X_66,X_68)),
inference(resolve,[$cnf( $equal(multiply(X_66,greatest_lower_bound(inverse(X_66),X_68)),greatest_lower_bound(multiply(X_66,inverse(X_66)),multiply(X_66,X_68))) )],[refute_0_388,refute_0_390]) ).
cnf(refute_0_392,plain,
multiply(X,greatest_lower_bound(inverse(X),X_72)) = greatest_lower_bound(identity,multiply(X,X_72)),
inference(subst,[],[refute_0_391:[bind(X_66,$fot(X)),bind(X_68,$fot(X_72))]]) ).
cnf(refute_0_393,plain,
( multiply(X,greatest_lower_bound(inverse(X),X_72)) != greatest_lower_bound(identity,multiply(X,X_72))
| inverse(X) != multiply(greatest_lower_bound(inverse(X),X_72),inverse(multiply(X,greatest_lower_bound(inverse(X),X_72))))
| inverse(X) = multiply(greatest_lower_bound(inverse(X),X_72),inverse(greatest_lower_bound(identity,multiply(X,X_72)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),multiply(greatest_lower_bound(inverse(X),X_72),inverse(multiply(X,greatest_lower_bound(inverse(X),X_72))))) ),[1,1,0],$fot(greatest_lower_bound(identity,multiply(X,X_72)))]]) ).
cnf(refute_0_394,plain,
( inverse(X) != multiply(greatest_lower_bound(inverse(X),X_72),inverse(multiply(X,greatest_lower_bound(inverse(X),X_72))))
| inverse(X) = multiply(greatest_lower_bound(inverse(X),X_72),inverse(greatest_lower_bound(identity,multiply(X,X_72)))) ),
inference(resolve,[$cnf( $equal(multiply(X,greatest_lower_bound(inverse(X),X_72)),greatest_lower_bound(identity,multiply(X,X_72))) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
inverse(X) = multiply(greatest_lower_bound(inverse(X),X_72),inverse(greatest_lower_bound(identity,multiply(X,X_72)))),
inference(resolve,[$cnf( $equal(inverse(X),multiply(greatest_lower_bound(inverse(X),X_72),inverse(multiply(X,greatest_lower_bound(inverse(X),X_72))))) )],[refute_0_387,refute_0_394]) ).
cnf(refute_0_396,plain,
inverse(least_upper_bound(X_344,identity)) = multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,multiply(least_upper_bound(X_344,identity),inverse(least_upper_bound(identity,inverse(X_344))))))),
inference(subst,[],[refute_0_395:[bind(X,$fot(least_upper_bound(X_344,identity))),bind(X_72,$fot(inverse(least_upper_bound(identity,inverse(X_344)))))]]) ).
cnf(refute_0_397,plain,
inverse(inverse(X_137)) = multiply(least_upper_bound(X_137,identity),inverse(multiply(inverse(X_137),least_upper_bound(X_137,identity)))),
inference(subst,[],[refute_0_386:[bind(X,$fot(inverse(X_137))),bind(Y,$fot(least_upper_bound(X_137,identity)))]]) ).
cnf(refute_0_398,plain,
multiply(inverse(X_131),least_upper_bound(X_130,X_131)) = least_upper_bound(multiply(inverse(X_131),X_130),multiply(inverse(X_131),X_131)),
inference(subst,[],[monotony_lub1:[bind(X,$fot(inverse(X_131))),bind(Y,$fot(X_130)),bind(Z,$fot(X_131))]]) ).
cnf(refute_0_399,plain,
multiply(inverse(X_131),X_131) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(X_131))]]) ).
cnf(refute_0_400,plain,
( multiply(inverse(X_131),X_131) != identity
| multiply(inverse(X_131),least_upper_bound(X_130,X_131)) != least_upper_bound(multiply(inverse(X_131),X_130),multiply(inverse(X_131),X_131))
| multiply(inverse(X_131),least_upper_bound(X_130,X_131)) = least_upper_bound(multiply(inverse(X_131),X_130),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_131),least_upper_bound(X_130,X_131)),least_upper_bound(multiply(inverse(X_131),X_130),multiply(inverse(X_131),X_131))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_401,plain,
( multiply(inverse(X_131),least_upper_bound(X_130,X_131)) != least_upper_bound(multiply(inverse(X_131),X_130),multiply(inverse(X_131),X_131))
| multiply(inverse(X_131),least_upper_bound(X_130,X_131)) = least_upper_bound(multiply(inverse(X_131),X_130),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_131),X_131),identity) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
multiply(inverse(X_131),least_upper_bound(X_130,X_131)) = least_upper_bound(multiply(inverse(X_131),X_130),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_131),least_upper_bound(X_130,X_131)),least_upper_bound(multiply(inverse(X_131),X_130),multiply(inverse(X_131),X_131))) )],[refute_0_398,refute_0_401]) ).
cnf(refute_0_403,plain,
( least_upper_bound(X,Y) != least_upper_bound(Y,X)
| least_upper_bound(Y,X) = least_upper_bound(X,Y) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X,Y))),bind(Y0,$fot(least_upper_bound(Y,X)))]]) ).
cnf(refute_0_404,plain,
least_upper_bound(Y,X) = least_upper_bound(X,Y),
inference(resolve,[$cnf( $equal(least_upper_bound(X,Y),least_upper_bound(Y,X)) )],[symmetry_of_lub,refute_0_403]) ).
cnf(refute_0_405,plain,
least_upper_bound(multiply(inverse(X_131),X_130),identity) = least_upper_bound(identity,multiply(inverse(X_131),X_130)),
inference(subst,[],[refute_0_404:[bind(X,$fot(identity)),bind(Y,$fot(multiply(inverse(X_131),X_130)))]]) ).
cnf(refute_0_406,plain,
( multiply(inverse(X_131),least_upper_bound(X_130,X_131)) != least_upper_bound(multiply(inverse(X_131),X_130),identity)
| least_upper_bound(multiply(inverse(X_131),X_130),identity) != least_upper_bound(identity,multiply(inverse(X_131),X_130))
| multiply(inverse(X_131),least_upper_bound(X_130,X_131)) = least_upper_bound(identity,multiply(inverse(X_131),X_130)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_131),least_upper_bound(X_130,X_131)),least_upper_bound(identity,multiply(inverse(X_131),X_130))) ),[0],$fot(least_upper_bound(multiply(inverse(X_131),X_130),identity))]]) ).
cnf(refute_0_407,plain,
( multiply(inverse(X_131),least_upper_bound(X_130,X_131)) != least_upper_bound(multiply(inverse(X_131),X_130),identity)
| multiply(inverse(X_131),least_upper_bound(X_130,X_131)) = least_upper_bound(identity,multiply(inverse(X_131),X_130)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(inverse(X_131),X_130),identity),least_upper_bound(identity,multiply(inverse(X_131),X_130))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
multiply(inverse(X_131),least_upper_bound(X_130,X_131)) = least_upper_bound(identity,multiply(inverse(X_131),X_130)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_131),least_upper_bound(X_130,X_131)),least_upper_bound(multiply(inverse(X_131),X_130),identity)) )],[refute_0_402,refute_0_407]) ).
cnf(refute_0_409,plain,
multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)) = least_upper_bound(identity,multiply(inverse(X_131),least_upper_bound(identity,X_131))),
inference(subst,[],[refute_0_408:[bind(X_130,$fot(least_upper_bound(identity,X_131)))]]) ).
cnf(refute_0_410,plain,
multiply(inverse(X_135),least_upper_bound(identity,X_135)) = least_upper_bound(identity,multiply(inverse(X_135),identity)),
inference(subst,[],[refute_0_408:[bind(X_130,$fot(identity)),bind(X_131,$fot(X_135))]]) ).
cnf(refute_0_411,plain,
inverse(X_135) = multiply(inverse(X_135),identity),
inference(subst,[],[refute_0_19:[bind(X,$fot(inverse(X_135)))]]) ).
cnf(refute_0_412,plain,
( inverse(X_135) != multiply(inverse(X_135),identity)
| multiply(inverse(X_135),identity) = inverse(X_135) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(X_135))),bind(Y0,$fot(multiply(inverse(X_135),identity)))]]) ).
cnf(refute_0_413,plain,
multiply(inverse(X_135),identity) = inverse(X_135),
inference(resolve,[$cnf( $equal(inverse(X_135),multiply(inverse(X_135),identity)) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
( multiply(inverse(X_135),identity) != inverse(X_135)
| multiply(inverse(X_135),least_upper_bound(identity,X_135)) != least_upper_bound(identity,multiply(inverse(X_135),identity))
| multiply(inverse(X_135),least_upper_bound(identity,X_135)) = least_upper_bound(identity,inverse(X_135)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_135),least_upper_bound(identity,X_135)),least_upper_bound(identity,multiply(inverse(X_135),identity))) ),[1,1],$fot(inverse(X_135))]]) ).
cnf(refute_0_415,plain,
( multiply(inverse(X_135),least_upper_bound(identity,X_135)) != least_upper_bound(identity,multiply(inverse(X_135),identity))
| multiply(inverse(X_135),least_upper_bound(identity,X_135)) = least_upper_bound(identity,inverse(X_135)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_135),identity),inverse(X_135)) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
multiply(inverse(X_135),least_upper_bound(identity,X_135)) = least_upper_bound(identity,inverse(X_135)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_135),least_upper_bound(identity,X_135)),least_upper_bound(identity,multiply(inverse(X_135),identity))) )],[refute_0_410,refute_0_415]) ).
cnf(refute_0_417,plain,
multiply(inverse(X_131),least_upper_bound(identity,X_131)) = least_upper_bound(identity,inverse(X_131)),
inference(subst,[],[refute_0_416:[bind(X_135,$fot(X_131))]]) ).
cnf(refute_0_418,plain,
( multiply(inverse(X_131),least_upper_bound(identity,X_131)) != least_upper_bound(identity,inverse(X_131))
| multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)) != least_upper_bound(identity,multiply(inverse(X_131),least_upper_bound(identity,X_131)))
| multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)) = least_upper_bound(identity,least_upper_bound(identity,inverse(X_131))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)),least_upper_bound(identity,multiply(inverse(X_131),least_upper_bound(identity,X_131)))) ),[1,1],$fot(least_upper_bound(identity,inverse(X_131)))]]) ).
cnf(refute_0_419,plain,
( multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)) != least_upper_bound(identity,multiply(inverse(X_131),least_upper_bound(identity,X_131)))
| multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)) = least_upper_bound(identity,least_upper_bound(identity,inverse(X_131))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_131),least_upper_bound(identity,X_131)),least_upper_bound(identity,inverse(X_131))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)) = least_upper_bound(identity,least_upper_bound(identity,inverse(X_131))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)),least_upper_bound(identity,multiply(inverse(X_131),least_upper_bound(identity,X_131)))) )],[refute_0_409,refute_0_419]) ).
cnf(refute_0_421,plain,
least_upper_bound(X_10,greatest_lower_bound(X_10,X_11)) = X_10,
inference(subst,[],[lub_absorbtion:[bind(X,$fot(X_10)),bind(Y,$fot(X_11))]]) ).
cnf(refute_0_422,plain,
greatest_lower_bound(X_11,X_10) = greatest_lower_bound(X_10,X_11),
inference(subst,[],[symmetry_of_glb:[bind(X,$fot(X_11)),bind(Y,$fot(X_10))]]) ).
cnf(refute_0_423,plain,
( greatest_lower_bound(X_11,X_10) != greatest_lower_bound(X_10,X_11)
| greatest_lower_bound(X_10,X_11) = greatest_lower_bound(X_11,X_10) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_11,X_10))),bind(Y0,$fot(greatest_lower_bound(X_10,X_11)))]]) ).
cnf(refute_0_424,plain,
greatest_lower_bound(X_10,X_11) = greatest_lower_bound(X_11,X_10),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_11,X_10),greatest_lower_bound(X_10,X_11)) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
( greatest_lower_bound(X_10,X_11) != greatest_lower_bound(X_11,X_10)
| least_upper_bound(X_10,greatest_lower_bound(X_10,X_11)) != X_10
| least_upper_bound(X_10,greatest_lower_bound(X_11,X_10)) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_10,greatest_lower_bound(X_10,X_11)),X_10) ),[0,1],$fot(greatest_lower_bound(X_11,X_10))]]) ).
cnf(refute_0_426,plain,
( least_upper_bound(X_10,greatest_lower_bound(X_10,X_11)) != X_10
| least_upper_bound(X_10,greatest_lower_bound(X_11,X_10)) = X_10 ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_10,X_11),greatest_lower_bound(X_11,X_10)) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
least_upper_bound(X_10,greatest_lower_bound(X_11,X_10)) = X_10,
inference(resolve,[$cnf( $equal(least_upper_bound(X_10,greatest_lower_bound(X_10,X_11)),X_10) )],[refute_0_421,refute_0_426]) ).
cnf(refute_0_428,plain,
least_upper_bound(least_upper_bound(X_11,X_15),greatest_lower_bound(X_11,least_upper_bound(X_11,X_15))) = least_upper_bound(X_11,X_15),
inference(subst,[],[refute_0_427:[bind(X_10,$fot(least_upper_bound(X_11,X_15)))]]) ).
cnf(refute_0_429,plain,
greatest_lower_bound(X_11,least_upper_bound(X_11,X_15)) = X_11,
inference(subst,[],[glb_absorbtion:[bind(X,$fot(X_11)),bind(Y,$fot(X_15))]]) ).
cnf(refute_0_430,plain,
( greatest_lower_bound(X_11,least_upper_bound(X_11,X_15)) != X_11
| least_upper_bound(least_upper_bound(X_11,X_15),greatest_lower_bound(X_11,least_upper_bound(X_11,X_15))) != least_upper_bound(X_11,X_15)
| least_upper_bound(least_upper_bound(X_11,X_15),X_11) = least_upper_bound(X_11,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(least_upper_bound(X_11,X_15),greatest_lower_bound(X_11,least_upper_bound(X_11,X_15))),least_upper_bound(X_11,X_15)) ),[0,1],$fot(X_11)]]) ).
cnf(refute_0_431,plain,
( least_upper_bound(least_upper_bound(X_11,X_15),greatest_lower_bound(X_11,least_upper_bound(X_11,X_15))) != least_upper_bound(X_11,X_15)
| least_upper_bound(least_upper_bound(X_11,X_15),X_11) = least_upper_bound(X_11,X_15) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_11,least_upper_bound(X_11,X_15)),X_11) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
least_upper_bound(least_upper_bound(X_11,X_15),X_11) = least_upper_bound(X_11,X_15),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_11,X_15),greatest_lower_bound(X_11,least_upper_bound(X_11,X_15))),least_upper_bound(X_11,X_15)) )],[refute_0_428,refute_0_431]) ).
cnf(refute_0_433,plain,
( least_upper_bound(X,least_upper_bound(Y,Z)) != least_upper_bound(least_upper_bound(X,Y),Z)
| least_upper_bound(least_upper_bound(X,Y),Z) = least_upper_bound(X,least_upper_bound(Y,Z)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X,least_upper_bound(Y,Z)))),bind(Y0,$fot(least_upper_bound(least_upper_bound(X,Y),Z)))]]) ).
cnf(refute_0_434,plain,
least_upper_bound(least_upper_bound(X,Y),Z) = least_upper_bound(X,least_upper_bound(Y,Z)),
inference(resolve,[$cnf( $equal(least_upper_bound(X,least_upper_bound(Y,Z)),least_upper_bound(least_upper_bound(X,Y),Z)) )],[associativity_of_lub,refute_0_433]) ).
cnf(refute_0_435,plain,
least_upper_bound(least_upper_bound(X_11,X_15),X_11) = least_upper_bound(X_11,least_upper_bound(X_15,X_11)),
inference(subst,[],[refute_0_434:[bind(X,$fot(X_11)),bind(Y,$fot(X_15)),bind(Z,$fot(X_11))]]) ).
cnf(refute_0_436,plain,
( least_upper_bound(least_upper_bound(X_11,X_15),X_11) != least_upper_bound(X_11,X_15)
| least_upper_bound(least_upper_bound(X_11,X_15),X_11) != least_upper_bound(X_11,least_upper_bound(X_15,X_11))
| least_upper_bound(X_11,least_upper_bound(X_15,X_11)) = least_upper_bound(X_11,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(least_upper_bound(X_11,X_15),X_11),least_upper_bound(X_11,X_15)) ),[0],$fot(least_upper_bound(X_11,least_upper_bound(X_15,X_11)))]]) ).
cnf(refute_0_437,plain,
( least_upper_bound(least_upper_bound(X_11,X_15),X_11) != least_upper_bound(X_11,X_15)
| least_upper_bound(X_11,least_upper_bound(X_15,X_11)) = least_upper_bound(X_11,X_15) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_11,X_15),X_11),least_upper_bound(X_11,least_upper_bound(X_15,X_11))) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
least_upper_bound(X_11,least_upper_bound(X_15,X_11)) = least_upper_bound(X_11,X_15),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_11,X_15),X_11),least_upper_bound(X_11,X_15)) )],[refute_0_432,refute_0_437]) ).
cnf(refute_0_439,plain,
least_upper_bound(X_131,least_upper_bound(identity,X_131)) = least_upper_bound(X_131,identity),
inference(subst,[],[refute_0_438:[bind(X_11,$fot(X_131)),bind(X_15,$fot(identity))]]) ).
cnf(refute_0_440,plain,
multiply(inverse(X_131),least_upper_bound(X_131,least_upper_bound(identity,X_131))) = multiply(inverse(X_131),least_upper_bound(X_131,least_upper_bound(identity,X_131))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_131),least_upper_bound(X_131,least_upper_bound(identity,X_131))))]]) ).
cnf(refute_0_441,plain,
( multiply(inverse(X_131),least_upper_bound(X_131,least_upper_bound(identity,X_131))) != multiply(inverse(X_131),least_upper_bound(X_131,least_upper_bound(identity,X_131)))
| least_upper_bound(X_131,least_upper_bound(identity,X_131)) != least_upper_bound(X_131,identity)
| multiply(inverse(X_131),least_upper_bound(X_131,least_upper_bound(identity,X_131))) = multiply(inverse(X_131),least_upper_bound(X_131,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_131),least_upper_bound(X_131,least_upper_bound(identity,X_131))),multiply(inverse(X_131),least_upper_bound(X_131,least_upper_bound(identity,X_131)))) ),[1,1],$fot(least_upper_bound(X_131,identity))]]) ).
cnf(refute_0_442,plain,
( least_upper_bound(X_131,least_upper_bound(identity,X_131)) != least_upper_bound(X_131,identity)
| multiply(inverse(X_131),least_upper_bound(X_131,least_upper_bound(identity,X_131))) = multiply(inverse(X_131),least_upper_bound(X_131,identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_131),least_upper_bound(X_131,least_upper_bound(identity,X_131))),multiply(inverse(X_131),least_upper_bound(X_131,least_upper_bound(identity,X_131)))) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
multiply(inverse(X_131),least_upper_bound(X_131,least_upper_bound(identity,X_131))) = multiply(inverse(X_131),least_upper_bound(X_131,identity)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_131,least_upper_bound(identity,X_131)),least_upper_bound(X_131,identity)) )],[refute_0_439,refute_0_442]) ).
cnf(refute_0_444,plain,
greatest_lower_bound(X_14,least_upper_bound(X_14,X_15)) = X_14,
inference(subst,[],[glb_absorbtion:[bind(X,$fot(X_14)),bind(Y,$fot(X_15))]]) ).
cnf(refute_0_445,plain,
least_upper_bound(X_15,X_14) = least_upper_bound(X_14,X_15),
inference(subst,[],[symmetry_of_lub:[bind(X,$fot(X_15)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_446,plain,
( least_upper_bound(X_15,X_14) != least_upper_bound(X_14,X_15)
| least_upper_bound(X_14,X_15) = least_upper_bound(X_15,X_14) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_15,X_14))),bind(Y0,$fot(least_upper_bound(X_14,X_15)))]]) ).
cnf(refute_0_447,plain,
least_upper_bound(X_14,X_15) = least_upper_bound(X_15,X_14),
inference(resolve,[$cnf( $equal(least_upper_bound(X_15,X_14),least_upper_bound(X_14,X_15)) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
( greatest_lower_bound(X_14,least_upper_bound(X_14,X_15)) != X_14
| least_upper_bound(X_14,X_15) != least_upper_bound(X_15,X_14)
| greatest_lower_bound(X_14,least_upper_bound(X_15,X_14)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_14,least_upper_bound(X_14,X_15)),X_14) ),[0,1],$fot(least_upper_bound(X_15,X_14))]]) ).
cnf(refute_0_449,plain,
( greatest_lower_bound(X_14,least_upper_bound(X_14,X_15)) != X_14
| greatest_lower_bound(X_14,least_upper_bound(X_15,X_14)) = X_14 ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_14,X_15),least_upper_bound(X_15,X_14)) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
greatest_lower_bound(X_14,least_upper_bound(X_15,X_14)) = X_14,
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_14,least_upper_bound(X_14,X_15)),X_14) )],[refute_0_444,refute_0_449]) ).
cnf(refute_0_451,plain,
greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,least_upper_bound(X_15,X_19))) = least_upper_bound(X_15,X_19),
inference(subst,[],[refute_0_450:[bind(X_14,$fot(least_upper_bound(X_15,X_19))),bind(X_15,$fot(X_19))]]) ).
cnf(refute_0_452,plain,
least_upper_bound(X_19,least_upper_bound(X_15,X_19)) = least_upper_bound(X_19,X_15),
inference(subst,[],[refute_0_438:[bind(X_11,$fot(X_19))]]) ).
cnf(refute_0_453,plain,
( greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,least_upper_bound(X_15,X_19))) != least_upper_bound(X_15,X_19)
| least_upper_bound(X_19,least_upper_bound(X_15,X_19)) != least_upper_bound(X_19,X_15)
| greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,X_15)) = least_upper_bound(X_15,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,least_upper_bound(X_15,X_19))),least_upper_bound(X_15,X_19)) ),[0,1],$fot(least_upper_bound(X_19,X_15))]]) ).
cnf(refute_0_454,plain,
( greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,least_upper_bound(X_15,X_19))) != least_upper_bound(X_15,X_19)
| greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,X_15)) = least_upper_bound(X_15,X_19) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_19,least_upper_bound(X_15,X_19)),least_upper_bound(X_19,X_15)) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,X_15)) = least_upper_bound(X_15,X_19),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,least_upper_bound(X_15,X_19))),least_upper_bound(X_15,X_19)) )],[refute_0_451,refute_0_454]) ).
cnf(refute_0_456,plain,
greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131))) = least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),
inference(subst,[],[refute_0_455:[bind(X_15,$fot(multiply(X_129,X_131))),bind(X_19,$fot(multiply(X_129,X_130)))]]) ).
cnf(refute_0_457,plain,
multiply(X_129,least_upper_bound(X_130,X_131)) = least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131)),
inference(subst,[],[monotony_lub1:[bind(X,$fot(X_129)),bind(Y,$fot(X_130)),bind(Z,$fot(X_131))]]) ).
cnf(refute_0_458,plain,
( multiply(X_129,least_upper_bound(X_130,X_131)) != least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131))
| least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131)) = multiply(X_129,least_upper_bound(X_130,X_131)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(X_129,least_upper_bound(X_130,X_131)))),bind(Y0,$fot(least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131))))]]) ).
cnf(refute_0_459,plain,
least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131)) = multiply(X_129,least_upper_bound(X_130,X_131)),
inference(resolve,[$cnf( $equal(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
( greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131))) != least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))
| least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131)) != multiply(X_129,least_upper_bound(X_130,X_131))
| greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),multiply(X_129,least_upper_bound(X_130,X_131))) = least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131))),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))) ),[0,1],$fot(multiply(X_129,least_upper_bound(X_130,X_131)))]]) ).
cnf(refute_0_461,plain,
( greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131))) != least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))
| greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),multiply(X_129,least_upper_bound(X_130,X_131))) = least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131)),multiply(X_129,least_upper_bound(X_130,X_131))) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),multiply(X_129,least_upper_bound(X_130,X_131))) = least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131))),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))) )],[refute_0_456,refute_0_461]) ).
cnf(refute_0_463,plain,
greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130)) = least_upper_bound(X_130,X_131),
inference(subst,[],[refute_0_455:[bind(X_15,$fot(X_130)),bind(X_19,$fot(X_131))]]) ).
cnf(refute_0_464,plain,
multiply(X_129,greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130))) = multiply(X_129,greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130))),
introduced(tautology,[refl,[$fot(multiply(X_129,greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130))))]]) ).
cnf(refute_0_465,plain,
( multiply(X_129,greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130))) != multiply(X_129,greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130)))
| greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130)) != least_upper_bound(X_130,X_131)
| multiply(X_129,greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130))) = multiply(X_129,least_upper_bound(X_130,X_131)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_129,greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130))),multiply(X_129,greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130)))) ),[1,1],$fot(least_upper_bound(X_130,X_131))]]) ).
cnf(refute_0_466,plain,
( greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130)) != least_upper_bound(X_130,X_131)
| multiply(X_129,greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130))) = multiply(X_129,least_upper_bound(X_130,X_131)) ),
inference(resolve,[$cnf( $equal(multiply(X_129,greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130))),multiply(X_129,greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130)))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
multiply(X_129,greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130))) = multiply(X_129,least_upper_bound(X_130,X_131)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130)),least_upper_bound(X_130,X_131)) )],[refute_0_463,refute_0_466]) ).
cnf(refute_0_468,plain,
greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),multiply(X_129,least_upper_bound(X_131,X_130))) = multiply(X_129,greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130))),
inference(subst,[],[refute_0_244:[bind(X,$fot(X_129)),bind(Y,$fot(least_upper_bound(X_130,X_131))),bind(Z,$fot(least_upper_bound(X_131,X_130)))]]) ).
cnf(refute_0_469,plain,
( multiply(X_129,greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130))) != multiply(X_129,least_upper_bound(X_130,X_131))
| greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),multiply(X_129,least_upper_bound(X_131,X_130))) != multiply(X_129,greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130)))
| greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),multiply(X_129,least_upper_bound(X_131,X_130))) = multiply(X_129,least_upper_bound(X_130,X_131)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),multiply(X_129,least_upper_bound(X_131,X_130))))),bind(Y0,$fot(multiply(X_129,greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130))))),bind(Z0,$fot(multiply(X_129,least_upper_bound(X_130,X_131))))]]) ).
cnf(refute_0_470,plain,
( multiply(X_129,greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130))) != multiply(X_129,least_upper_bound(X_130,X_131))
| greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),multiply(X_129,least_upper_bound(X_131,X_130))) = multiply(X_129,least_upper_bound(X_130,X_131)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),multiply(X_129,least_upper_bound(X_131,X_130))),multiply(X_129,greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130)))) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),multiply(X_129,least_upper_bound(X_131,X_130))) = multiply(X_129,least_upper_bound(X_130,X_131)),
inference(resolve,[$cnf( $equal(multiply(X_129,greatest_lower_bound(least_upper_bound(X_130,X_131),least_upper_bound(X_131,X_130))),multiply(X_129,least_upper_bound(X_130,X_131))) )],[refute_0_467,refute_0_470]) ).
cnf(refute_0_472,plain,
( multiply(X,least_upper_bound(Y,Z)) != least_upper_bound(multiply(X,Y),multiply(X,Z))
| least_upper_bound(multiply(X,Y),multiply(X,Z)) = multiply(X,least_upper_bound(Y,Z)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(X,least_upper_bound(Y,Z)))),bind(Y0,$fot(least_upper_bound(multiply(X,Y),multiply(X,Z))))]]) ).
cnf(refute_0_473,plain,
least_upper_bound(multiply(X,Y),multiply(X,Z)) = multiply(X,least_upper_bound(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(X,least_upper_bound(Y,Z)),least_upper_bound(multiply(X,Y),multiply(X,Z))) )],[monotony_lub1,refute_0_472]) ).
cnf(refute_0_474,plain,
least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)) = multiply(X_129,least_upper_bound(X_131,X_130)),
inference(subst,[],[refute_0_473:[bind(X,$fot(X_129)),bind(Y,$fot(X_131)),bind(Z,$fot(X_130))]]) ).
cnf(refute_0_475,plain,
greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))) = greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))))]]) ).
cnf(refute_0_476,plain,
( greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))) != greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)))
| least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)) != multiply(X_129,least_upper_bound(X_131,X_130))
| greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))) = greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),multiply(X_129,least_upper_bound(X_131,X_130))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))),greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)))) ),[1,1],$fot(multiply(X_129,least_upper_bound(X_131,X_130)))]]) ).
cnf(refute_0_477,plain,
( least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)) != multiply(X_129,least_upper_bound(X_131,X_130))
| greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))) = greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),multiply(X_129,least_upper_bound(X_131,X_130))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))),greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)))) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))) = greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),multiply(X_129,least_upper_bound(X_131,X_130))),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),multiply(X_129,least_upper_bound(X_131,X_130))) )],[refute_0_474,refute_0_477]) ).
cnf(refute_0_479,plain,
( greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),multiply(X_129,least_upper_bound(X_131,X_130))) != multiply(X_129,least_upper_bound(X_130,X_131))
| greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))) != greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),multiply(X_129,least_upper_bound(X_131,X_130)))
| greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))) = multiply(X_129,least_upper_bound(X_130,X_131)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))))),bind(Y0,$fot(greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),multiply(X_129,least_upper_bound(X_131,X_130))))),bind(Z0,$fot(multiply(X_129,least_upper_bound(X_130,X_131))))]]) ).
cnf(refute_0_480,plain,
( greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),multiply(X_129,least_upper_bound(X_131,X_130))) != multiply(X_129,least_upper_bound(X_130,X_131))
| greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))) = multiply(X_129,least_upper_bound(X_130,X_131)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))),greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),multiply(X_129,least_upper_bound(X_131,X_130)))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))) = multiply(X_129,least_upper_bound(X_130,X_131)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),multiply(X_129,least_upper_bound(X_131,X_130))),multiply(X_129,least_upper_bound(X_130,X_131))) )],[refute_0_471,refute_0_480]) ).
cnf(refute_0_482,plain,
greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),multiply(X_129,least_upper_bound(X_130,X_131))) = greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))),
inference(subst,[],[refute_0_30:[bind(X,$fot(multiply(X_129,least_upper_bound(X_130,X_131)))),bind(Y,$fot(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))))]]) ).
cnf(refute_0_483,plain,
( greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))) != multiply(X_129,least_upper_bound(X_130,X_131))
| greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),multiply(X_129,least_upper_bound(X_130,X_131))) != greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)))
| greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),multiply(X_129,least_upper_bound(X_130,X_131))) = multiply(X_129,least_upper_bound(X_130,X_131)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),multiply(X_129,least_upper_bound(X_130,X_131))))),bind(Y0,$fot(greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))))),bind(Z0,$fot(multiply(X_129,least_upper_bound(X_130,X_131))))]]) ).
cnf(refute_0_484,plain,
( greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))) != multiply(X_129,least_upper_bound(X_130,X_131))
| greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),multiply(X_129,least_upper_bound(X_130,X_131))) = multiply(X_129,least_upper_bound(X_130,X_131)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),multiply(X_129,least_upper_bound(X_130,X_131))),greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)))) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),multiply(X_129,least_upper_bound(X_130,X_131))) = multiply(X_129,least_upper_bound(X_130,X_131)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))),multiply(X_129,least_upper_bound(X_130,X_131))) )],[refute_0_481,refute_0_484]) ).
cnf(refute_0_486,plain,
( greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),multiply(X_129,least_upper_bound(X_130,X_131))) != multiply(X_129,least_upper_bound(X_130,X_131))
| greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),multiply(X_129,least_upper_bound(X_130,X_131))) != least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))
| multiply(X_129,least_upper_bound(X_130,X_131)) = least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),multiply(X_129,least_upper_bound(X_130,X_131))),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))) ),[0],$fot(multiply(X_129,least_upper_bound(X_130,X_131)))]]) ).
cnf(refute_0_487,plain,
( greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),multiply(X_129,least_upper_bound(X_130,X_131))) != least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))
| multiply(X_129,least_upper_bound(X_130,X_131)) = least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),multiply(X_129,least_upper_bound(X_130,X_131))),multiply(X_129,least_upper_bound(X_130,X_131))) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
( multiply(X_129,least_upper_bound(X_130,X_131)) != least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))
| least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)) != multiply(X_129,least_upper_bound(X_131,X_130))
| multiply(X_129,least_upper_bound(X_130,X_131)) = multiply(X_129,least_upper_bound(X_131,X_130)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_129,least_upper_bound(X_130,X_131)),multiply(X_129,least_upper_bound(X_131,X_130))) ),[0],$fot(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)))]]) ).
cnf(refute_0_489,plain,
( multiply(X_129,least_upper_bound(X_130,X_131)) != least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))
| multiply(X_129,least_upper_bound(X_130,X_131)) = multiply(X_129,least_upper_bound(X_131,X_130)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),multiply(X_129,least_upper_bound(X_131,X_130))) )],[refute_0_474,refute_0_488]) ).
cnf(refute_0_490,plain,
( greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),multiply(X_129,least_upper_bound(X_130,X_131))) != least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))
| multiply(X_129,least_upper_bound(X_130,X_131)) = multiply(X_129,least_upper_bound(X_131,X_130)) ),
inference(resolve,[$cnf( $equal(multiply(X_129,least_upper_bound(X_130,X_131)),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))) )],[refute_0_487,refute_0_489]) ).
cnf(refute_0_491,plain,
multiply(X_129,least_upper_bound(X_130,X_131)) = multiply(X_129,least_upper_bound(X_131,X_130)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130)),multiply(X_129,least_upper_bound(X_130,X_131))),least_upper_bound(multiply(X_129,X_131),multiply(X_129,X_130))) )],[refute_0_462,refute_0_490]) ).
cnf(refute_0_492,plain,
( multiply(X_129,least_upper_bound(X_130,X_131)) != multiply(X_129,least_upper_bound(X_131,X_130))
| multiply(X_129,least_upper_bound(X_131,X_130)) = multiply(X_129,least_upper_bound(X_130,X_131)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(X_129,least_upper_bound(X_130,X_131)))),bind(Y0,$fot(multiply(X_129,least_upper_bound(X_131,X_130))))]]) ).
cnf(refute_0_493,plain,
multiply(X_129,least_upper_bound(X_131,X_130)) = multiply(X_129,least_upper_bound(X_130,X_131)),
inference(resolve,[$cnf( $equal(multiply(X_129,least_upper_bound(X_130,X_131)),multiply(X_129,least_upper_bound(X_131,X_130))) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)) = multiply(inverse(X_131),least_upper_bound(X_131,least_upper_bound(identity,X_131))),
inference(subst,[],[refute_0_493:[bind(X_129,$fot(inverse(X_131))),bind(X_130,$fot(X_131)),bind(X_131,$fot(least_upper_bound(identity,X_131)))]]) ).
cnf(refute_0_495,plain,
( multiply(inverse(X_131),least_upper_bound(X_131,least_upper_bound(identity,X_131))) != multiply(inverse(X_131),least_upper_bound(X_131,identity))
| multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)) != multiply(inverse(X_131),least_upper_bound(X_131,least_upper_bound(identity,X_131)))
| multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)) = multiply(inverse(X_131),least_upper_bound(X_131,identity)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)))),bind(Y0,$fot(multiply(inverse(X_131),least_upper_bound(X_131,least_upper_bound(identity,X_131))))),bind(Z0,$fot(multiply(inverse(X_131),least_upper_bound(X_131,identity))))]]) ).
cnf(refute_0_496,plain,
( multiply(inverse(X_131),least_upper_bound(X_131,least_upper_bound(identity,X_131))) != multiply(inverse(X_131),least_upper_bound(X_131,identity))
| multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)) = multiply(inverse(X_131),least_upper_bound(X_131,identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)),multiply(inverse(X_131),least_upper_bound(X_131,least_upper_bound(identity,X_131)))) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)) = multiply(inverse(X_131),least_upper_bound(X_131,identity)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_131),least_upper_bound(X_131,least_upper_bound(identity,X_131))),multiply(inverse(X_131),least_upper_bound(X_131,identity))) )],[refute_0_443,refute_0_496]) ).
cnf(refute_0_498,plain,
( multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)) != multiply(inverse(X_131),least_upper_bound(X_131,identity))
| multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)) != least_upper_bound(identity,least_upper_bound(identity,inverse(X_131)))
| multiply(inverse(X_131),least_upper_bound(X_131,identity)) = least_upper_bound(identity,least_upper_bound(identity,inverse(X_131))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)),least_upper_bound(identity,least_upper_bound(identity,inverse(X_131)))) ),[0],$fot(multiply(inverse(X_131),least_upper_bound(X_131,identity)))]]) ).
cnf(refute_0_499,plain,
( multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)) != least_upper_bound(identity,least_upper_bound(identity,inverse(X_131)))
| multiply(inverse(X_131),least_upper_bound(X_131,identity)) = least_upper_bound(identity,least_upper_bound(identity,inverse(X_131))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)),multiply(inverse(X_131),least_upper_bound(X_131,identity))) )],[refute_0_497,refute_0_498]) ).
cnf(refute_0_500,plain,
least_upper_bound(X_16,least_upper_bound(X_17,X_16)) = least_upper_bound(X_16,X_17),
inference(subst,[],[refute_0_438:[bind(X_11,$fot(X_16)),bind(X_15,$fot(X_17))]]) ).
cnf(refute_0_501,plain,
least_upper_bound(X_16,X_17) = least_upper_bound(X_17,X_16),
inference(subst,[],[symmetry_of_lub:[bind(X,$fot(X_16)),bind(Y,$fot(X_17))]]) ).
cnf(refute_0_502,plain,
( least_upper_bound(X_16,X_17) != least_upper_bound(X_17,X_16)
| least_upper_bound(X_17,X_16) = least_upper_bound(X_16,X_17) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_16,X_17))),bind(Y0,$fot(least_upper_bound(X_17,X_16)))]]) ).
cnf(refute_0_503,plain,
least_upper_bound(X_17,X_16) = least_upper_bound(X_16,X_17),
inference(resolve,[$cnf( $equal(least_upper_bound(X_16,X_17),least_upper_bound(X_17,X_16)) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
( least_upper_bound(X_16,least_upper_bound(X_17,X_16)) != least_upper_bound(X_16,X_17)
| least_upper_bound(X_17,X_16) != least_upper_bound(X_16,X_17)
| least_upper_bound(X_16,least_upper_bound(X_16,X_17)) = least_upper_bound(X_16,X_17) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_16,least_upper_bound(X_17,X_16)),least_upper_bound(X_16,X_17)) ),[0,1],$fot(least_upper_bound(X_16,X_17))]]) ).
cnf(refute_0_505,plain,
( least_upper_bound(X_16,least_upper_bound(X_17,X_16)) != least_upper_bound(X_16,X_17)
| least_upper_bound(X_16,least_upper_bound(X_16,X_17)) = least_upper_bound(X_16,X_17) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_17,X_16),least_upper_bound(X_16,X_17)) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
least_upper_bound(X_16,least_upper_bound(X_16,X_17)) = least_upper_bound(X_16,X_17),
inference(resolve,[$cnf( $equal(least_upper_bound(X_16,least_upper_bound(X_17,X_16)),least_upper_bound(X_16,X_17)) )],[refute_0_500,refute_0_505]) ).
cnf(refute_0_507,plain,
least_upper_bound(identity,least_upper_bound(identity,inverse(X_131))) = least_upper_bound(identity,inverse(X_131)),
inference(subst,[],[refute_0_506:[bind(X_16,$fot(identity)),bind(X_17,$fot(inverse(X_131)))]]) ).
cnf(refute_0_508,plain,
( multiply(inverse(X_131),least_upper_bound(X_131,identity)) != least_upper_bound(identity,least_upper_bound(identity,inverse(X_131)))
| least_upper_bound(identity,least_upper_bound(identity,inverse(X_131))) != least_upper_bound(identity,inverse(X_131))
| multiply(inverse(X_131),least_upper_bound(X_131,identity)) = least_upper_bound(identity,inverse(X_131)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_131),least_upper_bound(X_131,identity)),least_upper_bound(identity,inverse(X_131))) ),[0],$fot(least_upper_bound(identity,least_upper_bound(identity,inverse(X_131))))]]) ).
cnf(refute_0_509,plain,
( multiply(inverse(X_131),least_upper_bound(X_131,identity)) != least_upper_bound(identity,least_upper_bound(identity,inverse(X_131)))
| multiply(inverse(X_131),least_upper_bound(X_131,identity)) = least_upper_bound(identity,inverse(X_131)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(identity,inverse(X_131))),least_upper_bound(identity,inverse(X_131))) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
( multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)) != least_upper_bound(identity,least_upper_bound(identity,inverse(X_131)))
| multiply(inverse(X_131),least_upper_bound(X_131,identity)) = least_upper_bound(identity,inverse(X_131)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_131),least_upper_bound(X_131,identity)),least_upper_bound(identity,least_upper_bound(identity,inverse(X_131)))) )],[refute_0_499,refute_0_509]) ).
cnf(refute_0_511,plain,
multiply(inverse(X_131),least_upper_bound(X_131,identity)) = least_upper_bound(identity,inverse(X_131)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_131),least_upper_bound(least_upper_bound(identity,X_131),X_131)),least_upper_bound(identity,least_upper_bound(identity,inverse(X_131)))) )],[refute_0_420,refute_0_510]) ).
cnf(refute_0_512,plain,
multiply(inverse(X_137),least_upper_bound(X_137,identity)) = least_upper_bound(identity,inverse(X_137)),
inference(subst,[],[refute_0_511:[bind(X_131,$fot(X_137))]]) ).
cnf(refute_0_513,plain,
( multiply(inverse(X_137),least_upper_bound(X_137,identity)) != least_upper_bound(identity,inverse(X_137))
| inverse(inverse(X_137)) != multiply(least_upper_bound(X_137,identity),inverse(multiply(inverse(X_137),least_upper_bound(X_137,identity))))
| inverse(inverse(X_137)) = multiply(least_upper_bound(X_137,identity),inverse(least_upper_bound(identity,inverse(X_137)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_137)),multiply(least_upper_bound(X_137,identity),inverse(multiply(inverse(X_137),least_upper_bound(X_137,identity))))) ),[1,1,0],$fot(least_upper_bound(identity,inverse(X_137)))]]) ).
cnf(refute_0_514,plain,
( inverse(inverse(X_137)) != multiply(least_upper_bound(X_137,identity),inverse(multiply(inverse(X_137),least_upper_bound(X_137,identity))))
| inverse(inverse(X_137)) = multiply(least_upper_bound(X_137,identity),inverse(least_upper_bound(identity,inverse(X_137)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_137),least_upper_bound(X_137,identity)),least_upper_bound(identity,inverse(X_137))) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
inverse(inverse(X_137)) = multiply(least_upper_bound(X_137,identity),inverse(least_upper_bound(identity,inverse(X_137)))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_137)),multiply(least_upper_bound(X_137,identity),inverse(multiply(inverse(X_137),least_upper_bound(X_137,identity))))) )],[refute_0_397,refute_0_514]) ).
cnf(refute_0_516,plain,
inverse(inverse(X_137)) = X_137,
inference(subst,[],[p20_2:[bind(X,$fot(X_137))]]) ).
cnf(refute_0_517,plain,
( inverse(inverse(X_137)) != X_137
| inverse(inverse(X_137)) != multiply(least_upper_bound(X_137,identity),inverse(least_upper_bound(identity,inverse(X_137))))
| X_137 = multiply(least_upper_bound(X_137,identity),inverse(least_upper_bound(identity,inverse(X_137)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_137)),multiply(least_upper_bound(X_137,identity),inverse(least_upper_bound(identity,inverse(X_137))))) ),[0],$fot(X_137)]]) ).
cnf(refute_0_518,plain,
( inverse(inverse(X_137)) != multiply(least_upper_bound(X_137,identity),inverse(least_upper_bound(identity,inverse(X_137))))
| X_137 = multiply(least_upper_bound(X_137,identity),inverse(least_upper_bound(identity,inverse(X_137)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_137)),X_137) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
X_137 = multiply(least_upper_bound(X_137,identity),inverse(least_upper_bound(identity,inverse(X_137)))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_137)),multiply(least_upper_bound(X_137,identity),inverse(least_upper_bound(identity,inverse(X_137))))) )],[refute_0_515,refute_0_518]) ).
cnf(refute_0_520,plain,
X_344 = multiply(least_upper_bound(X_344,identity),inverse(least_upper_bound(identity,inverse(X_344)))),
inference(subst,[],[refute_0_519:[bind(X_137,$fot(X_344))]]) ).
cnf(refute_0_521,plain,
( X_344 != multiply(least_upper_bound(X_344,identity),inverse(least_upper_bound(identity,inverse(X_344))))
| multiply(least_upper_bound(X_344,identity),inverse(least_upper_bound(identity,inverse(X_344)))) = X_344 ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(X_344)),bind(Y0,$fot(multiply(least_upper_bound(X_344,identity),inverse(least_upper_bound(identity,inverse(X_344))))))]]) ).
cnf(refute_0_522,plain,
multiply(least_upper_bound(X_344,identity),inverse(least_upper_bound(identity,inverse(X_344)))) = X_344,
inference(resolve,[$cnf( $equal(X_344,multiply(least_upper_bound(X_344,identity),inverse(least_upper_bound(identity,inverse(X_344))))) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
( multiply(least_upper_bound(X_344,identity),inverse(least_upper_bound(identity,inverse(X_344)))) != X_344
| inverse(least_upper_bound(X_344,identity)) != multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,multiply(least_upper_bound(X_344,identity),inverse(least_upper_bound(identity,inverse(X_344)))))))
| inverse(least_upper_bound(X_344,identity)) = multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(least_upper_bound(X_344,identity)),multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,multiply(least_upper_bound(X_344,identity),inverse(least_upper_bound(identity,inverse(X_344)))))))) ),[1,1,0,1],$fot(X_344)]]) ).
cnf(refute_0_524,plain,
( inverse(least_upper_bound(X_344,identity)) != multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,multiply(least_upper_bound(X_344,identity),inverse(least_upper_bound(identity,inverse(X_344)))))))
| inverse(least_upper_bound(X_344,identity)) = multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_344,identity),inverse(least_upper_bound(identity,inverse(X_344)))),X_344) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
inverse(least_upper_bound(X_344,identity)) = multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344))),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(X_344,identity)),multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,multiply(least_upper_bound(X_344,identity),inverse(least_upper_bound(identity,inverse(X_344)))))))) )],[refute_0_396,refute_0_524]) ).
cnf(refute_0_526,plain,
multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344))) = inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))),
inference(subst,[],[refute_0_66:[bind(X,$fot(greatest_lower_bound(identity,X_344))),bind(Y,$fot(least_upper_bound(X_344,identity)))]]) ).
cnf(refute_0_527,plain,
multiply(greatest_lower_bound(identity,X_344),multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344)))) = multiply(greatest_lower_bound(identity,X_344),multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344)))),
introduced(tautology,[refl,[$fot(multiply(greatest_lower_bound(identity,X_344),multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344)))))]]) ).
cnf(refute_0_528,plain,
( multiply(greatest_lower_bound(identity,X_344),multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344)))) != multiply(greatest_lower_bound(identity,X_344),multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344))))
| multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344))) != inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))
| multiply(greatest_lower_bound(identity,X_344),multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344)))) = multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_344),multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344)))),multiply(greatest_lower_bound(identity,X_344),multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344))))) ),[1,1],$fot(inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))))]]) ).
cnf(refute_0_529,plain,
( multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344))) != inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))
| multiply(greatest_lower_bound(identity,X_344),multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344)))) = multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_344),multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344)))),multiply(greatest_lower_bound(identity,X_344),multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344))))) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
multiply(greatest_lower_bound(identity,X_344),multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344)))) = multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344))),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) )],[refute_0_526,refute_0_529]) ).
cnf(refute_0_531,plain,
multiply(multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity))),inverse(greatest_lower_bound(identity,X_344))) = multiply(greatest_lower_bound(identity,X_344),multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344)))),
inference(subst,[],[associativity:[bind(X,$fot(greatest_lower_bound(identity,X_344))),bind(Y,$fot(inverse(least_upper_bound(X_344,identity)))),bind(Z,$fot(inverse(greatest_lower_bound(identity,X_344))))]]) ).
cnf(refute_0_532,plain,
( multiply(multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity))),inverse(greatest_lower_bound(identity,X_344))) != multiply(greatest_lower_bound(identity,X_344),multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344))))
| multiply(greatest_lower_bound(identity,X_344),multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344)))) != multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))))
| multiply(multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity))),inverse(greatest_lower_bound(identity,X_344))) = multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity))),inverse(greatest_lower_bound(identity,X_344))))),bind(Y0,$fot(multiply(greatest_lower_bound(identity,X_344),multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344)))))),bind(Z0,$fot(multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))))))]]) ).
cnf(refute_0_533,plain,
( multiply(greatest_lower_bound(identity,X_344),multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344)))) != multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))))
| multiply(multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity))),inverse(greatest_lower_bound(identity,X_344))) = multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity))),inverse(greatest_lower_bound(identity,X_344))),multiply(greatest_lower_bound(identity,X_344),multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344))))) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
multiply(multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity))),inverse(greatest_lower_bound(identity,X_344))) = multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_344),multiply(inverse(least_upper_bound(X_344,identity)),inverse(greatest_lower_bound(identity,X_344)))),multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))))) )],[refute_0_530,refute_0_533]) ).
cnf(refute_0_535,plain,
multiply(X_66,greatest_lower_bound(X_67,multiply(inverse(X_66),X_57))) = greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,multiply(inverse(X_66),X_57))),
inference(subst,[],[monotony_glb1:[bind(X,$fot(X_66)),bind(Y,$fot(X_67)),bind(Z,$fot(multiply(inverse(X_66),X_57)))]]) ).
cnf(refute_0_536,plain,
multiply(multiply(X_55,inverse(X_55)),X_57) = multiply(X_55,multiply(inverse(X_55),X_57)),
inference(subst,[],[associativity:[bind(X,$fot(X_55)),bind(Y,$fot(inverse(X_55))),bind(Z,$fot(X_57))]]) ).
cnf(refute_0_537,plain,
multiply(X_55,inverse(X_55)) = identity,
inference(subst,[],[refute_0_127:[bind(X_1,$fot(X_55))]]) ).
cnf(refute_0_538,plain,
( multiply(X_55,inverse(X_55)) != identity
| multiply(multiply(X_55,inverse(X_55)),X_57) != multiply(X_55,multiply(inverse(X_55),X_57))
| multiply(identity,X_57) = multiply(X_55,multiply(inverse(X_55),X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_55,inverse(X_55)),X_57),multiply(X_55,multiply(inverse(X_55),X_57))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_539,plain,
( multiply(multiply(X_55,inverse(X_55)),X_57) != multiply(X_55,multiply(inverse(X_55),X_57))
| multiply(identity,X_57) = multiply(X_55,multiply(inverse(X_55),X_57)) ),
inference(resolve,[$cnf( $equal(multiply(X_55,inverse(X_55)),identity) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
multiply(identity,X_57) = multiply(X_55,multiply(inverse(X_55),X_57)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_55,inverse(X_55)),X_57),multiply(X_55,multiply(inverse(X_55),X_57))) )],[refute_0_536,refute_0_539]) ).
cnf(refute_0_541,plain,
( multiply(identity,X_57) != X_57
| multiply(identity,X_57) != multiply(X_55,multiply(inverse(X_55),X_57))
| X_57 = multiply(X_55,multiply(inverse(X_55),X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_57),multiply(X_55,multiply(inverse(X_55),X_57))) ),[0],$fot(X_57)]]) ).
cnf(refute_0_542,plain,
( multiply(identity,X_57) != multiply(X_55,multiply(inverse(X_55),X_57))
| X_57 = multiply(X_55,multiply(inverse(X_55),X_57)) ),
inference(resolve,[$cnf( $equal(multiply(identity,X_57),X_57) )],[refute_0_89,refute_0_541]) ).
cnf(refute_0_543,plain,
X_57 = multiply(X_55,multiply(inverse(X_55),X_57)),
inference(resolve,[$cnf( $equal(multiply(identity,X_57),multiply(X_55,multiply(inverse(X_55),X_57))) )],[refute_0_540,refute_0_542]) ).
cnf(refute_0_544,plain,
X_57 = multiply(X_66,multiply(inverse(X_66),X_57)),
inference(subst,[],[refute_0_543:[bind(X_55,$fot(X_66))]]) ).
cnf(refute_0_545,plain,
( X_57 != multiply(X_66,multiply(inverse(X_66),X_57))
| multiply(X_66,multiply(inverse(X_66),X_57)) = X_57 ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(X_57)),bind(Y0,$fot(multiply(X_66,multiply(inverse(X_66),X_57))))]]) ).
cnf(refute_0_546,plain,
multiply(X_66,multiply(inverse(X_66),X_57)) = X_57,
inference(resolve,[$cnf( $equal(X_57,multiply(X_66,multiply(inverse(X_66),X_57))) )],[refute_0_544,refute_0_545]) ).
cnf(refute_0_547,plain,
( multiply(X_66,multiply(inverse(X_66),X_57)) != X_57
| multiply(X_66,greatest_lower_bound(X_67,multiply(inverse(X_66),X_57))) != greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,multiply(inverse(X_66),X_57)))
| multiply(X_66,greatest_lower_bound(X_67,multiply(inverse(X_66),X_57))) = greatest_lower_bound(multiply(X_66,X_67),X_57) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_66,greatest_lower_bound(X_67,multiply(inverse(X_66),X_57))),greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,multiply(inverse(X_66),X_57)))) ),[1,1],$fot(X_57)]]) ).
cnf(refute_0_548,plain,
( multiply(X_66,greatest_lower_bound(X_67,multiply(inverse(X_66),X_57))) != greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,multiply(inverse(X_66),X_57)))
| multiply(X_66,greatest_lower_bound(X_67,multiply(inverse(X_66),X_57))) = greatest_lower_bound(multiply(X_66,X_67),X_57) ),
inference(resolve,[$cnf( $equal(multiply(X_66,multiply(inverse(X_66),X_57)),X_57) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
multiply(X_66,greatest_lower_bound(X_67,multiply(inverse(X_66),X_57))) = greatest_lower_bound(multiply(X_66,X_67),X_57),
inference(resolve,[$cnf( $equal(multiply(X_66,greatest_lower_bound(X_67,multiply(inverse(X_66),X_57))),greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,multiply(inverse(X_66),X_57)))) )],[refute_0_535,refute_0_548]) ).
cnf(refute_0_550,plain,
multiply(X_169,greatest_lower_bound(identity,multiply(inverse(X_169),inverse(X_85)))) = greatest_lower_bound(multiply(X_169,identity),inverse(X_85)),
inference(subst,[],[refute_0_549:[bind(X_57,$fot(inverse(X_85))),bind(X_66,$fot(X_169)),bind(X_67,$fot(identity))]]) ).
cnf(refute_0_551,plain,
multiply(greatest_lower_bound(X_85,X_86),inverse(X_85)) = greatest_lower_bound(multiply(X_85,inverse(X_85)),multiply(X_86,inverse(X_85))),
inference(subst,[],[monotony_glb2:[bind(X,$fot(inverse(X_85))),bind(Y,$fot(X_85)),bind(Z,$fot(X_86))]]) ).
cnf(refute_0_552,plain,
multiply(X_85,inverse(X_85)) = identity,
inference(subst,[],[refute_0_127:[bind(X_1,$fot(X_85))]]) ).
cnf(refute_0_553,plain,
( multiply(X_85,inverse(X_85)) != identity
| multiply(greatest_lower_bound(X_85,X_86),inverse(X_85)) != greatest_lower_bound(multiply(X_85,inverse(X_85)),multiply(X_86,inverse(X_85)))
| multiply(greatest_lower_bound(X_85,X_86),inverse(X_85)) = greatest_lower_bound(identity,multiply(X_86,inverse(X_85))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(X_85,X_86),inverse(X_85)),greatest_lower_bound(multiply(X_85,inverse(X_85)),multiply(X_86,inverse(X_85)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_554,plain,
( multiply(greatest_lower_bound(X_85,X_86),inverse(X_85)) != greatest_lower_bound(multiply(X_85,inverse(X_85)),multiply(X_86,inverse(X_85)))
| multiply(greatest_lower_bound(X_85,X_86),inverse(X_85)) = greatest_lower_bound(identity,multiply(X_86,inverse(X_85))) ),
inference(resolve,[$cnf( $equal(multiply(X_85,inverse(X_85)),identity) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
multiply(greatest_lower_bound(X_85,X_86),inverse(X_85)) = greatest_lower_bound(identity,multiply(X_86,inverse(X_85))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_85,X_86),inverse(X_85)),greatest_lower_bound(multiply(X_85,inverse(X_85)),multiply(X_86,inverse(X_85)))) )],[refute_0_551,refute_0_554]) ).
cnf(refute_0_556,plain,
multiply(greatest_lower_bound(X_85,inverse(X_169)),inverse(X_85)) = greatest_lower_bound(identity,multiply(inverse(X_169),inverse(X_85))),
inference(subst,[],[refute_0_555:[bind(X_86,$fot(inverse(X_169)))]]) ).
cnf(refute_0_557,plain,
( multiply(greatest_lower_bound(X_85,inverse(X_169)),inverse(X_85)) != greatest_lower_bound(identity,multiply(inverse(X_169),inverse(X_85)))
| greatest_lower_bound(identity,multiply(inverse(X_169),inverse(X_85))) = multiply(greatest_lower_bound(X_85,inverse(X_169)),inverse(X_85)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(X_85,inverse(X_169)),inverse(X_85)))),bind(Y0,$fot(greatest_lower_bound(identity,multiply(inverse(X_169),inverse(X_85)))))]]) ).
cnf(refute_0_558,plain,
greatest_lower_bound(identity,multiply(inverse(X_169),inverse(X_85))) = multiply(greatest_lower_bound(X_85,inverse(X_169)),inverse(X_85)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_85,inverse(X_169)),inverse(X_85)),greatest_lower_bound(identity,multiply(inverse(X_169),inverse(X_85)))) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
( multiply(X_169,greatest_lower_bound(identity,multiply(inverse(X_169),inverse(X_85)))) != greatest_lower_bound(multiply(X_169,identity),inverse(X_85))
| greatest_lower_bound(identity,multiply(inverse(X_169),inverse(X_85))) != multiply(greatest_lower_bound(X_85,inverse(X_169)),inverse(X_85))
| multiply(X_169,multiply(greatest_lower_bound(X_85,inverse(X_169)),inverse(X_85))) = greatest_lower_bound(multiply(X_169,identity),inverse(X_85)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_169,greatest_lower_bound(identity,multiply(inverse(X_169),inverse(X_85)))),greatest_lower_bound(multiply(X_169,identity),inverse(X_85))) ),[0,1],$fot(multiply(greatest_lower_bound(X_85,inverse(X_169)),inverse(X_85)))]]) ).
cnf(refute_0_560,plain,
( multiply(X_169,greatest_lower_bound(identity,multiply(inverse(X_169),inverse(X_85)))) != greatest_lower_bound(multiply(X_169,identity),inverse(X_85))
| multiply(X_169,multiply(greatest_lower_bound(X_85,inverse(X_169)),inverse(X_85))) = greatest_lower_bound(multiply(X_169,identity),inverse(X_85)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(inverse(X_169),inverse(X_85))),multiply(greatest_lower_bound(X_85,inverse(X_169)),inverse(X_85))) )],[refute_0_558,refute_0_559]) ).
cnf(refute_0_561,plain,
multiply(X_169,multiply(greatest_lower_bound(X_85,inverse(X_169)),inverse(X_85))) = greatest_lower_bound(multiply(X_169,identity),inverse(X_85)),
inference(resolve,[$cnf( $equal(multiply(X_169,greatest_lower_bound(identity,multiply(inverse(X_169),inverse(X_85)))),greatest_lower_bound(multiply(X_169,identity),inverse(X_85))) )],[refute_0_550,refute_0_560]) ).
cnf(refute_0_562,plain,
multiply(multiply(X,greatest_lower_bound(X_70,inverse(X))),Z) = multiply(X,multiply(greatest_lower_bound(X_70,inverse(X)),Z)),
inference(subst,[],[associativity:[bind(Y,$fot(greatest_lower_bound(X_70,inverse(X))))]]) ).
cnf(refute_0_563,plain,
multiply(X,greatest_lower_bound(X_70,inverse(X))) = greatest_lower_bound(identity,multiply(X,X_70)),
inference(subst,[],[refute_0_135:[bind(X_66,$fot(X)),bind(X_67,$fot(X_70))]]) ).
cnf(refute_0_564,plain,
( multiply(X,greatest_lower_bound(X_70,inverse(X))) != greatest_lower_bound(identity,multiply(X,X_70))
| multiply(multiply(X,greatest_lower_bound(X_70,inverse(X))),Z) != multiply(X,multiply(greatest_lower_bound(X_70,inverse(X)),Z))
| multiply(greatest_lower_bound(identity,multiply(X,X_70)),Z) = multiply(X,multiply(greatest_lower_bound(X_70,inverse(X)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,greatest_lower_bound(X_70,inverse(X))),Z),multiply(X,multiply(greatest_lower_bound(X_70,inverse(X)),Z))) ),[0,0],$fot(greatest_lower_bound(identity,multiply(X,X_70)))]]) ).
cnf(refute_0_565,plain,
( multiply(multiply(X,greatest_lower_bound(X_70,inverse(X))),Z) != multiply(X,multiply(greatest_lower_bound(X_70,inverse(X)),Z))
| multiply(greatest_lower_bound(identity,multiply(X,X_70)),Z) = multiply(X,multiply(greatest_lower_bound(X_70,inverse(X)),Z)) ),
inference(resolve,[$cnf( $equal(multiply(X,greatest_lower_bound(X_70,inverse(X))),greatest_lower_bound(identity,multiply(X,X_70))) )],[refute_0_563,refute_0_564]) ).
cnf(refute_0_566,plain,
multiply(greatest_lower_bound(identity,multiply(X,X_70)),Z) = multiply(X,multiply(greatest_lower_bound(X_70,inverse(X)),Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(X,greatest_lower_bound(X_70,inverse(X))),Z),multiply(X,multiply(greatest_lower_bound(X_70,inverse(X)),Z))) )],[refute_0_562,refute_0_565]) ).
cnf(refute_0_567,plain,
( multiply(greatest_lower_bound(identity,multiply(X,X_70)),Z) != multiply(X,multiply(greatest_lower_bound(X_70,inverse(X)),Z))
| multiply(X,multiply(greatest_lower_bound(X_70,inverse(X)),Z)) = multiply(greatest_lower_bound(identity,multiply(X,X_70)),Z) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(identity,multiply(X,X_70)),Z))),bind(Y0,$fot(multiply(X,multiply(greatest_lower_bound(X_70,inverse(X)),Z))))]]) ).
cnf(refute_0_568,plain,
multiply(X,multiply(greatest_lower_bound(X_70,inverse(X)),Z)) = multiply(greatest_lower_bound(identity,multiply(X,X_70)),Z),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,multiply(X,X_70)),Z),multiply(X,multiply(greatest_lower_bound(X_70,inverse(X)),Z))) )],[refute_0_566,refute_0_567]) ).
cnf(refute_0_569,plain,
multiply(X_169,multiply(greatest_lower_bound(X_85,inverse(X_169)),inverse(X_85))) = multiply(greatest_lower_bound(identity,multiply(X_169,X_85)),inverse(X_85)),
inference(subst,[],[refute_0_568:[bind(X,$fot(X_169)),bind(Z,$fot(inverse(X_85))),bind(X_70,$fot(X_85))]]) ).
cnf(refute_0_570,plain,
( multiply(X_169,multiply(greatest_lower_bound(X_85,inverse(X_169)),inverse(X_85))) != multiply(greatest_lower_bound(identity,multiply(X_169,X_85)),inverse(X_85))
| multiply(X_169,multiply(greatest_lower_bound(X_85,inverse(X_169)),inverse(X_85))) != greatest_lower_bound(multiply(X_169,identity),inverse(X_85))
| multiply(greatest_lower_bound(identity,multiply(X_169,X_85)),inverse(X_85)) = greatest_lower_bound(multiply(X_169,identity),inverse(X_85)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_169,multiply(greatest_lower_bound(X_85,inverse(X_169)),inverse(X_85))),greatest_lower_bound(multiply(X_169,identity),inverse(X_85))) ),[0],$fot(multiply(greatest_lower_bound(identity,multiply(X_169,X_85)),inverse(X_85)))]]) ).
cnf(refute_0_571,plain,
( multiply(X_169,multiply(greatest_lower_bound(X_85,inverse(X_169)),inverse(X_85))) != greatest_lower_bound(multiply(X_169,identity),inverse(X_85))
| multiply(greatest_lower_bound(identity,multiply(X_169,X_85)),inverse(X_85)) = greatest_lower_bound(multiply(X_169,identity),inverse(X_85)) ),
inference(resolve,[$cnf( $equal(multiply(X_169,multiply(greatest_lower_bound(X_85,inverse(X_169)),inverse(X_85))),multiply(greatest_lower_bound(identity,multiply(X_169,X_85)),inverse(X_85))) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
( X != multiply(X,identity)
| multiply(X,identity) = X ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(X)),bind(Y0,$fot(multiply(X,identity)))]]) ).
cnf(refute_0_573,plain,
multiply(X,identity) = X,
inference(resolve,[$cnf( $equal(X,multiply(X,identity)) )],[refute_0_19,refute_0_572]) ).
cnf(refute_0_574,plain,
multiply(X_169,identity) = X_169,
inference(subst,[],[refute_0_573:[bind(X,$fot(X_169))]]) ).
cnf(refute_0_575,plain,
greatest_lower_bound(multiply(X_169,identity),inverse(X_85)) = greatest_lower_bound(multiply(X_169,identity),inverse(X_85)),
introduced(tautology,[refl,[$fot(greatest_lower_bound(multiply(X_169,identity),inverse(X_85)))]]) ).
cnf(refute_0_576,plain,
( multiply(X_169,identity) != X_169
| greatest_lower_bound(multiply(X_169,identity),inverse(X_85)) != greatest_lower_bound(multiply(X_169,identity),inverse(X_85))
| greatest_lower_bound(multiply(X_169,identity),inverse(X_85)) = greatest_lower_bound(X_169,inverse(X_85)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(multiply(X_169,identity),inverse(X_85)),greatest_lower_bound(multiply(X_169,identity),inverse(X_85))) ),[1,0],$fot(X_169)]]) ).
cnf(refute_0_577,plain,
( multiply(X_169,identity) != X_169
| greatest_lower_bound(multiply(X_169,identity),inverse(X_85)) = greatest_lower_bound(X_169,inverse(X_85)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_169,identity),inverse(X_85)),greatest_lower_bound(multiply(X_169,identity),inverse(X_85))) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
greatest_lower_bound(multiply(X_169,identity),inverse(X_85)) = greatest_lower_bound(X_169,inverse(X_85)),
inference(resolve,[$cnf( $equal(multiply(X_169,identity),X_169) )],[refute_0_574,refute_0_577]) ).
cnf(refute_0_579,plain,
( multiply(greatest_lower_bound(identity,multiply(X_169,X_85)),inverse(X_85)) != greatest_lower_bound(multiply(X_169,identity),inverse(X_85))
| greatest_lower_bound(multiply(X_169,identity),inverse(X_85)) != greatest_lower_bound(X_169,inverse(X_85))
| multiply(greatest_lower_bound(identity,multiply(X_169,X_85)),inverse(X_85)) = greatest_lower_bound(X_169,inverse(X_85)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(greatest_lower_bound(identity,multiply(X_169,X_85)),inverse(X_85)),greatest_lower_bound(X_169,inverse(X_85))) ),[0],$fot(greatest_lower_bound(multiply(X_169,identity),inverse(X_85)))]]) ).
cnf(refute_0_580,plain,
( multiply(greatest_lower_bound(identity,multiply(X_169,X_85)),inverse(X_85)) != greatest_lower_bound(multiply(X_169,identity),inverse(X_85))
| multiply(greatest_lower_bound(identity,multiply(X_169,X_85)),inverse(X_85)) = greatest_lower_bound(X_169,inverse(X_85)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_169,identity),inverse(X_85)),greatest_lower_bound(X_169,inverse(X_85))) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
( multiply(X_169,multiply(greatest_lower_bound(X_85,inverse(X_169)),inverse(X_85))) != greatest_lower_bound(multiply(X_169,identity),inverse(X_85))
| multiply(greatest_lower_bound(identity,multiply(X_169,X_85)),inverse(X_85)) = greatest_lower_bound(X_169,inverse(X_85)) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,multiply(X_169,X_85)),inverse(X_85)),greatest_lower_bound(multiply(X_169,identity),inverse(X_85))) )],[refute_0_571,refute_0_580]) ).
cnf(refute_0_582,plain,
multiply(greatest_lower_bound(identity,multiply(X_169,X_85)),inverse(X_85)) = greatest_lower_bound(X_169,inverse(X_85)),
inference(resolve,[$cnf( $equal(multiply(X_169,multiply(greatest_lower_bound(X_85,inverse(X_169)),inverse(X_85))),greatest_lower_bound(multiply(X_169,identity),inverse(X_85))) )],[refute_0_561,refute_0_581]) ).
cnf(refute_0_583,plain,
multiply(greatest_lower_bound(identity,multiply(inverse(least_upper_bound(identity,inverse(X_369))),least_upper_bound(X_369,identity))),inverse(least_upper_bound(X_369,identity))) = greatest_lower_bound(inverse(least_upper_bound(identity,inverse(X_369))),inverse(least_upper_bound(X_369,identity))),
inference(subst,[],[refute_0_582:[bind(X_169,$fot(inverse(least_upper_bound(identity,inverse(X_369))))),bind(X_85,$fot(least_upper_bound(X_369,identity)))]]) ).
cnf(refute_0_584,plain,
inverse(inverse(X_150)) = multiply(inverse(multiply(least_upper_bound(X_150,identity),inverse(X_150))),least_upper_bound(X_150,identity)),
inference(subst,[],[refute_0_106:[bind(X_58,$fot(least_upper_bound(X_150,identity))),bind(X_59,$fot(inverse(X_150)))]]) ).
cnf(refute_0_585,plain,
multiply(least_upper_bound(X_139,X_140),inverse(X_140)) = least_upper_bound(multiply(X_139,inverse(X_140)),multiply(X_140,inverse(X_140))),
inference(subst,[],[monotony_lub2:[bind(X,$fot(inverse(X_140))),bind(Y,$fot(X_139)),bind(Z,$fot(X_140))]]) ).
cnf(refute_0_586,plain,
multiply(X_140,inverse(X_140)) = identity,
inference(subst,[],[refute_0_127:[bind(X_1,$fot(X_140))]]) ).
cnf(refute_0_587,plain,
( multiply(X_140,inverse(X_140)) != identity
| multiply(least_upper_bound(X_139,X_140),inverse(X_140)) != least_upper_bound(multiply(X_139,inverse(X_140)),multiply(X_140,inverse(X_140)))
| multiply(least_upper_bound(X_139,X_140),inverse(X_140)) = least_upper_bound(multiply(X_139,inverse(X_140)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_139,X_140),inverse(X_140)),least_upper_bound(multiply(X_139,inverse(X_140)),multiply(X_140,inverse(X_140)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_588,plain,
( multiply(least_upper_bound(X_139,X_140),inverse(X_140)) != least_upper_bound(multiply(X_139,inverse(X_140)),multiply(X_140,inverse(X_140)))
| multiply(least_upper_bound(X_139,X_140),inverse(X_140)) = least_upper_bound(multiply(X_139,inverse(X_140)),identity) ),
inference(resolve,[$cnf( $equal(multiply(X_140,inverse(X_140)),identity) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
multiply(least_upper_bound(X_139,X_140),inverse(X_140)) = least_upper_bound(multiply(X_139,inverse(X_140)),identity),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,X_140),inverse(X_140)),least_upper_bound(multiply(X_139,inverse(X_140)),multiply(X_140,inverse(X_140)))) )],[refute_0_585,refute_0_588]) ).
cnf(refute_0_590,plain,
least_upper_bound(multiply(X_139,inverse(X_140)),identity) = least_upper_bound(identity,multiply(X_139,inverse(X_140))),
inference(subst,[],[refute_0_404:[bind(X,$fot(identity)),bind(Y,$fot(multiply(X_139,inverse(X_140))))]]) ).
cnf(refute_0_591,plain,
( multiply(least_upper_bound(X_139,X_140),inverse(X_140)) != least_upper_bound(multiply(X_139,inverse(X_140)),identity)
| least_upper_bound(multiply(X_139,inverse(X_140)),identity) != least_upper_bound(identity,multiply(X_139,inverse(X_140)))
| multiply(least_upper_bound(X_139,X_140),inverse(X_140)) = least_upper_bound(identity,multiply(X_139,inverse(X_140))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(least_upper_bound(X_139,X_140),inverse(X_140)),least_upper_bound(identity,multiply(X_139,inverse(X_140)))) ),[0],$fot(least_upper_bound(multiply(X_139,inverse(X_140)),identity))]]) ).
cnf(refute_0_592,plain,
( multiply(least_upper_bound(X_139,X_140),inverse(X_140)) != least_upper_bound(multiply(X_139,inverse(X_140)),identity)
| multiply(least_upper_bound(X_139,X_140),inverse(X_140)) = least_upper_bound(identity,multiply(X_139,inverse(X_140))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_139,inverse(X_140)),identity),least_upper_bound(identity,multiply(X_139,inverse(X_140)))) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
multiply(least_upper_bound(X_139,X_140),inverse(X_140)) = least_upper_bound(identity,multiply(X_139,inverse(X_140))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,X_140),inverse(X_140)),least_upper_bound(multiply(X_139,inverse(X_140)),identity)) )],[refute_0_589,refute_0_592]) ).
cnf(refute_0_594,plain,
multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)) = least_upper_bound(identity,multiply(least_upper_bound(identity,X_140),inverse(X_140))),
inference(subst,[],[refute_0_593:[bind(X_139,$fot(least_upper_bound(identity,X_140)))]]) ).
cnf(refute_0_595,plain,
multiply(least_upper_bound(identity,X_146),inverse(X_146)) = least_upper_bound(identity,multiply(identity,inverse(X_146))),
inference(subst,[],[refute_0_593:[bind(X_139,$fot(identity)),bind(X_140,$fot(X_146))]]) ).
cnf(refute_0_596,plain,
multiply(identity,inverse(X_146)) = inverse(X_146),
inference(subst,[],[left_identity:[bind(X,$fot(inverse(X_146)))]]) ).
cnf(refute_0_597,plain,
( multiply(identity,inverse(X_146)) != inverse(X_146)
| multiply(least_upper_bound(identity,X_146),inverse(X_146)) != least_upper_bound(identity,multiply(identity,inverse(X_146)))
| multiply(least_upper_bound(identity,X_146),inverse(X_146)) = least_upper_bound(identity,inverse(X_146)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(identity,X_146),inverse(X_146)),least_upper_bound(identity,multiply(identity,inverse(X_146)))) ),[1,1],$fot(inverse(X_146))]]) ).
cnf(refute_0_598,plain,
( multiply(least_upper_bound(identity,X_146),inverse(X_146)) != least_upper_bound(identity,multiply(identity,inverse(X_146)))
| multiply(least_upper_bound(identity,X_146),inverse(X_146)) = least_upper_bound(identity,inverse(X_146)) ),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(X_146)),inverse(X_146)) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
multiply(least_upper_bound(identity,X_146),inverse(X_146)) = least_upper_bound(identity,inverse(X_146)),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,X_146),inverse(X_146)),least_upper_bound(identity,multiply(identity,inverse(X_146)))) )],[refute_0_595,refute_0_598]) ).
cnf(refute_0_600,plain,
multiply(least_upper_bound(identity,X_140),inverse(X_140)) = least_upper_bound(identity,inverse(X_140)),
inference(subst,[],[refute_0_599:[bind(X_146,$fot(X_140))]]) ).
cnf(refute_0_601,plain,
( multiply(least_upper_bound(identity,X_140),inverse(X_140)) != least_upper_bound(identity,inverse(X_140))
| multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)) != least_upper_bound(identity,multiply(least_upper_bound(identity,X_140),inverse(X_140)))
| multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)) = least_upper_bound(identity,least_upper_bound(identity,inverse(X_140))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)),least_upper_bound(identity,multiply(least_upper_bound(identity,X_140),inverse(X_140)))) ),[1,1],$fot(least_upper_bound(identity,inverse(X_140)))]]) ).
cnf(refute_0_602,plain,
( multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)) != least_upper_bound(identity,multiply(least_upper_bound(identity,X_140),inverse(X_140)))
| multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)) = least_upper_bound(identity,least_upper_bound(identity,inverse(X_140))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,X_140),inverse(X_140)),least_upper_bound(identity,inverse(X_140))) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)) = least_upper_bound(identity,least_upper_bound(identity,inverse(X_140))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)),least_upper_bound(identity,multiply(least_upper_bound(identity,X_140),inverse(X_140)))) )],[refute_0_594,refute_0_602]) ).
cnf(refute_0_604,plain,
least_upper_bound(X_140,least_upper_bound(identity,X_140)) = least_upper_bound(X_140,identity),
inference(subst,[],[refute_0_438:[bind(X_11,$fot(X_140)),bind(X_15,$fot(identity))]]) ).
cnf(refute_0_605,plain,
multiply(least_upper_bound(X_140,least_upper_bound(identity,X_140)),inverse(X_140)) = multiply(least_upper_bound(X_140,least_upper_bound(identity,X_140)),inverse(X_140)),
introduced(tautology,[refl,[$fot(multiply(least_upper_bound(X_140,least_upper_bound(identity,X_140)),inverse(X_140)))]]) ).
cnf(refute_0_606,plain,
( multiply(least_upper_bound(X_140,least_upper_bound(identity,X_140)),inverse(X_140)) != multiply(least_upper_bound(X_140,least_upper_bound(identity,X_140)),inverse(X_140))
| least_upper_bound(X_140,least_upper_bound(identity,X_140)) != least_upper_bound(X_140,identity)
| multiply(least_upper_bound(X_140,least_upper_bound(identity,X_140)),inverse(X_140)) = multiply(least_upper_bound(X_140,identity),inverse(X_140)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_140,least_upper_bound(identity,X_140)),inverse(X_140)),multiply(least_upper_bound(X_140,least_upper_bound(identity,X_140)),inverse(X_140))) ),[1,0],$fot(least_upper_bound(X_140,identity))]]) ).
cnf(refute_0_607,plain,
( least_upper_bound(X_140,least_upper_bound(identity,X_140)) != least_upper_bound(X_140,identity)
| multiply(least_upper_bound(X_140,least_upper_bound(identity,X_140)),inverse(X_140)) = multiply(least_upper_bound(X_140,identity),inverse(X_140)) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_140,least_upper_bound(identity,X_140)),inverse(X_140)),multiply(least_upper_bound(X_140,least_upper_bound(identity,X_140)),inverse(X_140))) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
multiply(least_upper_bound(X_140,least_upper_bound(identity,X_140)),inverse(X_140)) = multiply(least_upper_bound(X_140,identity),inverse(X_140)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_140,least_upper_bound(identity,X_140)),least_upper_bound(X_140,identity)) )],[refute_0_604,refute_0_607]) ).
cnf(refute_0_609,plain,
greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),least_upper_bound(multiply(X_139,X_138),multiply(X_140,X_138))) = least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),
inference(subst,[],[refute_0_455:[bind(X_15,$fot(multiply(X_140,X_138))),bind(X_19,$fot(multiply(X_139,X_138)))]]) ).
cnf(refute_0_610,plain,
multiply(least_upper_bound(X_139,X_140),X_138) = least_upper_bound(multiply(X_139,X_138),multiply(X_140,X_138)),
inference(subst,[],[monotony_lub2:[bind(X,$fot(X_138)),bind(Y,$fot(X_139)),bind(Z,$fot(X_140))]]) ).
cnf(refute_0_611,plain,
( multiply(least_upper_bound(X_139,X_140),X_138) != least_upper_bound(multiply(X_139,X_138),multiply(X_140,X_138))
| least_upper_bound(multiply(X_139,X_138),multiply(X_140,X_138)) = multiply(least_upper_bound(X_139,X_140),X_138) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(least_upper_bound(X_139,X_140),X_138))),bind(Y0,$fot(least_upper_bound(multiply(X_139,X_138),multiply(X_140,X_138))))]]) ).
cnf(refute_0_612,plain,
least_upper_bound(multiply(X_139,X_138),multiply(X_140,X_138)) = multiply(least_upper_bound(X_139,X_140),X_138),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_139,X_138),multiply(X_140,X_138))) )],[refute_0_610,refute_0_611]) ).
cnf(refute_0_613,plain,
( greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),least_upper_bound(multiply(X_139,X_138),multiply(X_140,X_138))) != least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))
| least_upper_bound(multiply(X_139,X_138),multiply(X_140,X_138)) != multiply(least_upper_bound(X_139,X_140),X_138)
| greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),multiply(least_upper_bound(X_139,X_140),X_138)) = least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),least_upper_bound(multiply(X_139,X_138),multiply(X_140,X_138))),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))) ),[0,1],$fot(multiply(least_upper_bound(X_139,X_140),X_138))]]) ).
cnf(refute_0_614,plain,
( greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),least_upper_bound(multiply(X_139,X_138),multiply(X_140,X_138))) != least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))
| greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),multiply(least_upper_bound(X_139,X_140),X_138)) = least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_139,X_138),multiply(X_140,X_138)),multiply(least_upper_bound(X_139,X_140),X_138)) )],[refute_0_612,refute_0_613]) ).
cnf(refute_0_615,plain,
greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),multiply(least_upper_bound(X_139,X_140),X_138)) = least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),least_upper_bound(multiply(X_139,X_138),multiply(X_140,X_138))),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))) )],[refute_0_609,refute_0_614]) ).
cnf(refute_0_616,plain,
greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)) = least_upper_bound(X_139,X_140),
inference(subst,[],[refute_0_455:[bind(X_15,$fot(X_139)),bind(X_19,$fot(X_140))]]) ).
cnf(refute_0_617,plain,
multiply(greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)),X_138) = multiply(greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)),X_138),
introduced(tautology,[refl,[$fot(multiply(greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)),X_138))]]) ).
cnf(refute_0_618,plain,
( multiply(greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)),X_138) != multiply(greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)),X_138)
| greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)) != least_upper_bound(X_139,X_140)
| multiply(greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)),X_138) = multiply(least_upper_bound(X_139,X_140),X_138) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)),X_138),multiply(greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)),X_138)) ),[1,0],$fot(least_upper_bound(X_139,X_140))]]) ).
cnf(refute_0_619,plain,
( greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)) != least_upper_bound(X_139,X_140)
| multiply(greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)),X_138) = multiply(least_upper_bound(X_139,X_140),X_138) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)),X_138),multiply(greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)),X_138)) )],[refute_0_617,refute_0_618]) ).
cnf(refute_0_620,plain,
multiply(greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)),X_138) = multiply(least_upper_bound(X_139,X_140),X_138),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)),least_upper_bound(X_139,X_140)) )],[refute_0_616,refute_0_619]) ).
cnf(refute_0_621,plain,
( multiply(greatest_lower_bound(Y,Z),X) != greatest_lower_bound(multiply(Y,X),multiply(Z,X))
| greatest_lower_bound(multiply(Y,X),multiply(Z,X)) = multiply(greatest_lower_bound(Y,Z),X) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(Y,Z),X))),bind(Y0,$fot(greatest_lower_bound(multiply(Y,X),multiply(Z,X))))]]) ).
cnf(refute_0_622,plain,
greatest_lower_bound(multiply(Y,X),multiply(Z,X)) = multiply(greatest_lower_bound(Y,Z),X),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Y,X),multiply(Z,X))) )],[monotony_glb2,refute_0_621]) ).
cnf(refute_0_623,plain,
greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),multiply(least_upper_bound(X_140,X_139),X_138)) = multiply(greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)),X_138),
inference(subst,[],[refute_0_622:[bind(X,$fot(X_138)),bind(Y,$fot(least_upper_bound(X_139,X_140))),bind(Z,$fot(least_upper_bound(X_140,X_139)))]]) ).
cnf(refute_0_624,plain,
( multiply(greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)),X_138) != multiply(least_upper_bound(X_139,X_140),X_138)
| greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),multiply(least_upper_bound(X_140,X_139),X_138)) != multiply(greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)),X_138)
| greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),multiply(least_upper_bound(X_140,X_139),X_138)) = multiply(least_upper_bound(X_139,X_140),X_138) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),multiply(least_upper_bound(X_140,X_139),X_138)))),bind(Y0,$fot(multiply(greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)),X_138))),bind(Z0,$fot(multiply(least_upper_bound(X_139,X_140),X_138)))]]) ).
cnf(refute_0_625,plain,
( multiply(greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)),X_138) != multiply(least_upper_bound(X_139,X_140),X_138)
| greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),multiply(least_upper_bound(X_140,X_139),X_138)) = multiply(least_upper_bound(X_139,X_140),X_138) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),multiply(least_upper_bound(X_140,X_139),X_138)),multiply(greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)),X_138)) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),multiply(least_upper_bound(X_140,X_139),X_138)) = multiply(least_upper_bound(X_139,X_140),X_138),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(least_upper_bound(X_139,X_140),least_upper_bound(X_140,X_139)),X_138),multiply(least_upper_bound(X_139,X_140),X_138)) )],[refute_0_620,refute_0_625]) ).
cnf(refute_0_627,plain,
( multiply(least_upper_bound(Y,Z),X) != least_upper_bound(multiply(Y,X),multiply(Z,X))
| least_upper_bound(multiply(Y,X),multiply(Z,X)) = multiply(least_upper_bound(Y,Z),X) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(least_upper_bound(Y,Z),X))),bind(Y0,$fot(least_upper_bound(multiply(Y,X),multiply(Z,X))))]]) ).
cnf(refute_0_628,plain,
least_upper_bound(multiply(Y,X),multiply(Z,X)) = multiply(least_upper_bound(Y,Z),X),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(Y,Z),X),least_upper_bound(multiply(Y,X),multiply(Z,X))) )],[monotony_lub2,refute_0_627]) ).
cnf(refute_0_629,plain,
least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)) = multiply(least_upper_bound(X_140,X_139),X_138),
inference(subst,[],[refute_0_628:[bind(X,$fot(X_138)),bind(Y,$fot(X_140)),bind(Z,$fot(X_139))]]) ).
cnf(refute_0_630,plain,
greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))) = greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))))]]) ).
cnf(refute_0_631,plain,
( greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))) != greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)))
| least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)) != multiply(least_upper_bound(X_140,X_139),X_138)
| greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))) = greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),multiply(least_upper_bound(X_140,X_139),X_138)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))),greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)))) ),[1,1],$fot(multiply(least_upper_bound(X_140,X_139),X_138))]]) ).
cnf(refute_0_632,plain,
( least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)) != multiply(least_upper_bound(X_140,X_139),X_138)
| greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))) = greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),multiply(least_upper_bound(X_140,X_139),X_138)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))),greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)))) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))) = greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),multiply(least_upper_bound(X_140,X_139),X_138)),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),multiply(least_upper_bound(X_140,X_139),X_138)) )],[refute_0_629,refute_0_632]) ).
cnf(refute_0_634,plain,
( greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),multiply(least_upper_bound(X_140,X_139),X_138)) != multiply(least_upper_bound(X_139,X_140),X_138)
| greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))) != greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),multiply(least_upper_bound(X_140,X_139),X_138))
| greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))) = multiply(least_upper_bound(X_139,X_140),X_138) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))))),bind(Y0,$fot(greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),multiply(least_upper_bound(X_140,X_139),X_138)))),bind(Z0,$fot(multiply(least_upper_bound(X_139,X_140),X_138)))]]) ).
cnf(refute_0_635,plain,
( greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),multiply(least_upper_bound(X_140,X_139),X_138)) != multiply(least_upper_bound(X_139,X_140),X_138)
| greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))) = multiply(least_upper_bound(X_139,X_140),X_138) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))),greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),multiply(least_upper_bound(X_140,X_139),X_138))) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))) = multiply(least_upper_bound(X_139,X_140),X_138),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),multiply(least_upper_bound(X_140,X_139),X_138)),multiply(least_upper_bound(X_139,X_140),X_138)) )],[refute_0_626,refute_0_635]) ).
cnf(refute_0_637,plain,
greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),multiply(least_upper_bound(X_139,X_140),X_138)) = greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))),
inference(subst,[],[refute_0_30:[bind(X,$fot(multiply(least_upper_bound(X_139,X_140),X_138))),bind(Y,$fot(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))))]]) ).
cnf(refute_0_638,plain,
( greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))) != multiply(least_upper_bound(X_139,X_140),X_138)
| greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),multiply(least_upper_bound(X_139,X_140),X_138)) != greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)))
| greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),multiply(least_upper_bound(X_139,X_140),X_138)) = multiply(least_upper_bound(X_139,X_140),X_138) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),multiply(least_upper_bound(X_139,X_140),X_138)))),bind(Y0,$fot(greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))))),bind(Z0,$fot(multiply(least_upper_bound(X_139,X_140),X_138)))]]) ).
cnf(refute_0_639,plain,
( greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))) != multiply(least_upper_bound(X_139,X_140),X_138)
| greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),multiply(least_upper_bound(X_139,X_140),X_138)) = multiply(least_upper_bound(X_139,X_140),X_138) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),multiply(least_upper_bound(X_139,X_140),X_138)),greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)))) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),multiply(least_upper_bound(X_139,X_140),X_138)) = multiply(least_upper_bound(X_139,X_140),X_138),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))),multiply(least_upper_bound(X_139,X_140),X_138)) )],[refute_0_636,refute_0_639]) ).
cnf(refute_0_641,plain,
( greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),multiply(least_upper_bound(X_139,X_140),X_138)) != multiply(least_upper_bound(X_139,X_140),X_138)
| greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),multiply(least_upper_bound(X_139,X_140),X_138)) != least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))
| multiply(least_upper_bound(X_139,X_140),X_138) = least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),multiply(least_upper_bound(X_139,X_140),X_138)),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))) ),[0],$fot(multiply(least_upper_bound(X_139,X_140),X_138))]]) ).
cnf(refute_0_642,plain,
( greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),multiply(least_upper_bound(X_139,X_140),X_138)) != least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))
| multiply(least_upper_bound(X_139,X_140),X_138) = least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),multiply(least_upper_bound(X_139,X_140),X_138)),multiply(least_upper_bound(X_139,X_140),X_138)) )],[refute_0_640,refute_0_641]) ).
cnf(refute_0_643,plain,
( multiply(least_upper_bound(X_139,X_140),X_138) != least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))
| least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)) != multiply(least_upper_bound(X_140,X_139),X_138)
| multiply(least_upper_bound(X_139,X_140),X_138) = multiply(least_upper_bound(X_140,X_139),X_138) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(least_upper_bound(X_139,X_140),X_138),multiply(least_upper_bound(X_140,X_139),X_138)) ),[0],$fot(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)))]]) ).
cnf(refute_0_644,plain,
( multiply(least_upper_bound(X_139,X_140),X_138) != least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))
| multiply(least_upper_bound(X_139,X_140),X_138) = multiply(least_upper_bound(X_140,X_139),X_138) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),multiply(least_upper_bound(X_140,X_139),X_138)) )],[refute_0_629,refute_0_643]) ).
cnf(refute_0_645,plain,
( greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),multiply(least_upper_bound(X_139,X_140),X_138)) != least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))
| multiply(least_upper_bound(X_139,X_140),X_138) = multiply(least_upper_bound(X_140,X_139),X_138) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,X_140),X_138),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))) )],[refute_0_642,refute_0_644]) ).
cnf(refute_0_646,plain,
multiply(least_upper_bound(X_139,X_140),X_138) = multiply(least_upper_bound(X_140,X_139),X_138),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138)),multiply(least_upper_bound(X_139,X_140),X_138)),least_upper_bound(multiply(X_140,X_138),multiply(X_139,X_138))) )],[refute_0_615,refute_0_645]) ).
cnf(refute_0_647,plain,
( multiply(least_upper_bound(X_139,X_140),X_138) != multiply(least_upper_bound(X_140,X_139),X_138)
| multiply(least_upper_bound(X_140,X_139),X_138) = multiply(least_upper_bound(X_139,X_140),X_138) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(least_upper_bound(X_139,X_140),X_138))),bind(Y0,$fot(multiply(least_upper_bound(X_140,X_139),X_138)))]]) ).
cnf(refute_0_648,plain,
multiply(least_upper_bound(X_140,X_139),X_138) = multiply(least_upper_bound(X_139,X_140),X_138),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,X_140),X_138),multiply(least_upper_bound(X_140,X_139),X_138)) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)) = multiply(least_upper_bound(X_140,least_upper_bound(identity,X_140)),inverse(X_140)),
inference(subst,[],[refute_0_648:[bind(X_138,$fot(inverse(X_140))),bind(X_139,$fot(X_140)),bind(X_140,$fot(least_upper_bound(identity,X_140)))]]) ).
cnf(refute_0_650,plain,
( multiply(least_upper_bound(X_140,least_upper_bound(identity,X_140)),inverse(X_140)) != multiply(least_upper_bound(X_140,identity),inverse(X_140))
| multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)) != multiply(least_upper_bound(X_140,least_upper_bound(identity,X_140)),inverse(X_140))
| multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)) = multiply(least_upper_bound(X_140,identity),inverse(X_140)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)))),bind(Y0,$fot(multiply(least_upper_bound(X_140,least_upper_bound(identity,X_140)),inverse(X_140)))),bind(Z0,$fot(multiply(least_upper_bound(X_140,identity),inverse(X_140))))]]) ).
cnf(refute_0_651,plain,
( multiply(least_upper_bound(X_140,least_upper_bound(identity,X_140)),inverse(X_140)) != multiply(least_upper_bound(X_140,identity),inverse(X_140))
| multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)) = multiply(least_upper_bound(X_140,identity),inverse(X_140)) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)),multiply(least_upper_bound(X_140,least_upper_bound(identity,X_140)),inverse(X_140))) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)) = multiply(least_upper_bound(X_140,identity),inverse(X_140)),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_140,least_upper_bound(identity,X_140)),inverse(X_140)),multiply(least_upper_bound(X_140,identity),inverse(X_140))) )],[refute_0_608,refute_0_651]) ).
cnf(refute_0_653,plain,
( multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)) != multiply(least_upper_bound(X_140,identity),inverse(X_140))
| multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)) != least_upper_bound(identity,least_upper_bound(identity,inverse(X_140)))
| multiply(least_upper_bound(X_140,identity),inverse(X_140)) = least_upper_bound(identity,least_upper_bound(identity,inverse(X_140))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)),least_upper_bound(identity,least_upper_bound(identity,inverse(X_140)))) ),[0],$fot(multiply(least_upper_bound(X_140,identity),inverse(X_140)))]]) ).
cnf(refute_0_654,plain,
( multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)) != least_upper_bound(identity,least_upper_bound(identity,inverse(X_140)))
| multiply(least_upper_bound(X_140,identity),inverse(X_140)) = least_upper_bound(identity,least_upper_bound(identity,inverse(X_140))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)),multiply(least_upper_bound(X_140,identity),inverse(X_140))) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
least_upper_bound(identity,least_upper_bound(identity,inverse(X_140))) = least_upper_bound(identity,inverse(X_140)),
inference(subst,[],[refute_0_506:[bind(X_16,$fot(identity)),bind(X_17,$fot(inverse(X_140)))]]) ).
cnf(refute_0_656,plain,
( multiply(least_upper_bound(X_140,identity),inverse(X_140)) != least_upper_bound(identity,least_upper_bound(identity,inverse(X_140)))
| least_upper_bound(identity,least_upper_bound(identity,inverse(X_140))) != least_upper_bound(identity,inverse(X_140))
| multiply(least_upper_bound(X_140,identity),inverse(X_140)) = least_upper_bound(identity,inverse(X_140)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(least_upper_bound(X_140,identity),inverse(X_140)),least_upper_bound(identity,inverse(X_140))) ),[0],$fot(least_upper_bound(identity,least_upper_bound(identity,inverse(X_140))))]]) ).
cnf(refute_0_657,plain,
( multiply(least_upper_bound(X_140,identity),inverse(X_140)) != least_upper_bound(identity,least_upper_bound(identity,inverse(X_140)))
| multiply(least_upper_bound(X_140,identity),inverse(X_140)) = least_upper_bound(identity,inverse(X_140)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(identity,inverse(X_140))),least_upper_bound(identity,inverse(X_140))) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
( multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)) != least_upper_bound(identity,least_upper_bound(identity,inverse(X_140)))
| multiply(least_upper_bound(X_140,identity),inverse(X_140)) = least_upper_bound(identity,inverse(X_140)) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_140,identity),inverse(X_140)),least_upper_bound(identity,least_upper_bound(identity,inverse(X_140)))) )],[refute_0_654,refute_0_657]) ).
cnf(refute_0_659,plain,
multiply(least_upper_bound(X_140,identity),inverse(X_140)) = least_upper_bound(identity,inverse(X_140)),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(least_upper_bound(identity,X_140),X_140),inverse(X_140)),least_upper_bound(identity,least_upper_bound(identity,inverse(X_140)))) )],[refute_0_603,refute_0_658]) ).
cnf(refute_0_660,plain,
multiply(least_upper_bound(X_150,identity),inverse(X_150)) = least_upper_bound(identity,inverse(X_150)),
inference(subst,[],[refute_0_659:[bind(X_140,$fot(X_150))]]) ).
cnf(refute_0_661,plain,
( multiply(least_upper_bound(X_150,identity),inverse(X_150)) != least_upper_bound(identity,inverse(X_150))
| inverse(inverse(X_150)) != multiply(inverse(multiply(least_upper_bound(X_150,identity),inverse(X_150))),least_upper_bound(X_150,identity))
| inverse(inverse(X_150)) = multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_150)),multiply(inverse(multiply(least_upper_bound(X_150,identity),inverse(X_150))),least_upper_bound(X_150,identity))) ),[1,0,0],$fot(least_upper_bound(identity,inverse(X_150)))]]) ).
cnf(refute_0_662,plain,
( inverse(inverse(X_150)) != multiply(inverse(multiply(least_upper_bound(X_150,identity),inverse(X_150))),least_upper_bound(X_150,identity))
| inverse(inverse(X_150)) = multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity)) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_150,identity),inverse(X_150)),least_upper_bound(identity,inverse(X_150))) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
inverse(inverse(X_150)) = multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_150)),multiply(inverse(multiply(least_upper_bound(X_150,identity),inverse(X_150))),least_upper_bound(X_150,identity))) )],[refute_0_584,refute_0_662]) ).
cnf(refute_0_664,plain,
inverse(inverse(X_150)) = X_150,
inference(subst,[],[p20_2:[bind(X,$fot(X_150))]]) ).
cnf(refute_0_665,plain,
( inverse(inverse(X_150)) != X_150
| inverse(inverse(X_150)) != multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity))
| X_150 = multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_150)),multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity))) ),[0],$fot(X_150)]]) ).
cnf(refute_0_666,plain,
( inverse(inverse(X_150)) != multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity))
| X_150 = multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_150)),X_150) )],[refute_0_664,refute_0_665]) ).
cnf(refute_0_667,plain,
X_150 = multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_150)),multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity))) )],[refute_0_663,refute_0_666]) ).
cnf(refute_0_668,plain,
X_369 = multiply(inverse(least_upper_bound(identity,inverse(X_369))),least_upper_bound(X_369,identity)),
inference(subst,[],[refute_0_667:[bind(X_150,$fot(X_369))]]) ).
cnf(refute_0_669,plain,
( X_369 != multiply(inverse(least_upper_bound(identity,inverse(X_369))),least_upper_bound(X_369,identity))
| multiply(inverse(least_upper_bound(identity,inverse(X_369))),least_upper_bound(X_369,identity)) = X_369 ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(X_369)),bind(Y0,$fot(multiply(inverse(least_upper_bound(identity,inverse(X_369))),least_upper_bound(X_369,identity))))]]) ).
cnf(refute_0_670,plain,
multiply(inverse(least_upper_bound(identity,inverse(X_369))),least_upper_bound(X_369,identity)) = X_369,
inference(resolve,[$cnf( $equal(X_369,multiply(inverse(least_upper_bound(identity,inverse(X_369))),least_upper_bound(X_369,identity))) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
( multiply(greatest_lower_bound(identity,multiply(inverse(least_upper_bound(identity,inverse(X_369))),least_upper_bound(X_369,identity))),inverse(least_upper_bound(X_369,identity))) != greatest_lower_bound(inverse(least_upper_bound(identity,inverse(X_369))),inverse(least_upper_bound(X_369,identity)))
| multiply(inverse(least_upper_bound(identity,inverse(X_369))),least_upper_bound(X_369,identity)) != X_369
| multiply(greatest_lower_bound(identity,X_369),inverse(least_upper_bound(X_369,identity))) = greatest_lower_bound(inverse(least_upper_bound(identity,inverse(X_369))),inverse(least_upper_bound(X_369,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,multiply(inverse(least_upper_bound(identity,inverse(X_369))),least_upper_bound(X_369,identity))),inverse(least_upper_bound(X_369,identity))),greatest_lower_bound(inverse(least_upper_bound(identity,inverse(X_369))),inverse(least_upper_bound(X_369,identity)))) ),[0,0,1],$fot(X_369)]]) ).
cnf(refute_0_672,plain,
( multiply(greatest_lower_bound(identity,multiply(inverse(least_upper_bound(identity,inverse(X_369))),least_upper_bound(X_369,identity))),inverse(least_upper_bound(X_369,identity))) != greatest_lower_bound(inverse(least_upper_bound(identity,inverse(X_369))),inverse(least_upper_bound(X_369,identity)))
| multiply(greatest_lower_bound(identity,X_369),inverse(least_upper_bound(X_369,identity))) = greatest_lower_bound(inverse(least_upper_bound(identity,inverse(X_369))),inverse(least_upper_bound(X_369,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(identity,inverse(X_369))),least_upper_bound(X_369,identity)),X_369) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
multiply(greatest_lower_bound(identity,X_369),inverse(least_upper_bound(X_369,identity))) = greatest_lower_bound(inverse(least_upper_bound(identity,inverse(X_369))),inverse(least_upper_bound(X_369,identity))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,multiply(inverse(least_upper_bound(identity,inverse(X_369))),least_upper_bound(X_369,identity))),inverse(least_upper_bound(X_369,identity))),greatest_lower_bound(inverse(least_upper_bound(identity,inverse(X_369))),inverse(least_upper_bound(X_369,identity)))) )],[refute_0_583,refute_0_672]) ).
cnf(refute_0_674,plain,
X_57 = multiply(inverse(greatest_lower_bound(inverse(X_57),X_90)),multiply(greatest_lower_bound(inverse(X_57),X_90),X_57)),
inference(subst,[],[refute_0_92:[bind(X_56,$fot(greatest_lower_bound(inverse(X_57),X_90)))]]) ).
cnf(refute_0_675,plain,
multiply(greatest_lower_bound(inverse(X_84),X_86),X_84) = greatest_lower_bound(multiply(inverse(X_84),X_84),multiply(X_86,X_84)),
inference(subst,[],[monotony_glb2:[bind(X,$fot(X_84)),bind(Y,$fot(inverse(X_84))),bind(Z,$fot(X_86))]]) ).
cnf(refute_0_676,plain,
multiply(inverse(X_84),X_84) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(X_84))]]) ).
cnf(refute_0_677,plain,
( multiply(greatest_lower_bound(inverse(X_84),X_86),X_84) != greatest_lower_bound(multiply(inverse(X_84),X_84),multiply(X_86,X_84))
| multiply(inverse(X_84),X_84) != identity
| multiply(greatest_lower_bound(inverse(X_84),X_86),X_84) = greatest_lower_bound(identity,multiply(X_86,X_84)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(inverse(X_84),X_86),X_84),greatest_lower_bound(multiply(inverse(X_84),X_84),multiply(X_86,X_84))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_678,plain,
( multiply(greatest_lower_bound(inverse(X_84),X_86),X_84) != greatest_lower_bound(multiply(inverse(X_84),X_84),multiply(X_86,X_84))
| multiply(greatest_lower_bound(inverse(X_84),X_86),X_84) = greatest_lower_bound(identity,multiply(X_86,X_84)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_84),X_84),identity) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
multiply(greatest_lower_bound(inverse(X_84),X_86),X_84) = greatest_lower_bound(identity,multiply(X_86,X_84)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(inverse(X_84),X_86),X_84),greatest_lower_bound(multiply(inverse(X_84),X_84),multiply(X_86,X_84))) )],[refute_0_675,refute_0_678]) ).
cnf(refute_0_680,plain,
multiply(greatest_lower_bound(inverse(X_57),X_90),X_57) = greatest_lower_bound(identity,multiply(X_90,X_57)),
inference(subst,[],[refute_0_679:[bind(X_84,$fot(X_57)),bind(X_86,$fot(X_90))]]) ).
cnf(refute_0_681,plain,
( X_57 != multiply(inverse(greatest_lower_bound(inverse(X_57),X_90)),multiply(greatest_lower_bound(inverse(X_57),X_90),X_57))
| multiply(greatest_lower_bound(inverse(X_57),X_90),X_57) != greatest_lower_bound(identity,multiply(X_90,X_57))
| X_57 = multiply(inverse(greatest_lower_bound(inverse(X_57),X_90)),greatest_lower_bound(identity,multiply(X_90,X_57))) ),
introduced(tautology,[equality,[$cnf( $equal(X_57,multiply(inverse(greatest_lower_bound(inverse(X_57),X_90)),multiply(greatest_lower_bound(inverse(X_57),X_90),X_57))) ),[1,1],$fot(greatest_lower_bound(identity,multiply(X_90,X_57)))]]) ).
cnf(refute_0_682,plain,
( X_57 != multiply(inverse(greatest_lower_bound(inverse(X_57),X_90)),multiply(greatest_lower_bound(inverse(X_57),X_90),X_57))
| X_57 = multiply(inverse(greatest_lower_bound(inverse(X_57),X_90)),greatest_lower_bound(identity,multiply(X_90,X_57))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(inverse(X_57),X_90),X_57),greatest_lower_bound(identity,multiply(X_90,X_57))) )],[refute_0_680,refute_0_681]) ).
cnf(refute_0_683,plain,
X_57 = multiply(inverse(greatest_lower_bound(inverse(X_57),X_90)),greatest_lower_bound(identity,multiply(X_90,X_57))),
inference(resolve,[$cnf( $equal(X_57,multiply(inverse(greatest_lower_bound(inverse(X_57),X_90)),multiply(greatest_lower_bound(inverse(X_57),X_90),X_57))) )],[refute_0_674,refute_0_682]) ).
cnf(refute_0_684,plain,
greatest_lower_bound(inverse(X_282),X_283) = multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(X_283,X_282))),greatest_lower_bound(inverse(X_282),X_283)))),
inference(subst,[],[refute_0_683:[bind(X_57,$fot(greatest_lower_bound(inverse(X_282),X_283))),bind(X_90,$fot(inverse(greatest_lower_bound(identity,multiply(X_283,X_282)))))]]) ).
cnf(refute_0_685,plain,
inverse(X_59) = multiply(inverse(multiply(greatest_lower_bound(inverse(X_59),X_90),X_59)),greatest_lower_bound(inverse(X_59),X_90)),
inference(subst,[],[refute_0_106:[bind(X_58,$fot(greatest_lower_bound(inverse(X_59),X_90)))]]) ).
cnf(refute_0_686,plain,
multiply(greatest_lower_bound(inverse(X_59),X_90),X_59) = greatest_lower_bound(identity,multiply(X_90,X_59)),
inference(subst,[],[refute_0_679:[bind(X_84,$fot(X_59)),bind(X_86,$fot(X_90))]]) ).
cnf(refute_0_687,plain,
( multiply(greatest_lower_bound(inverse(X_59),X_90),X_59) != greatest_lower_bound(identity,multiply(X_90,X_59))
| inverse(X_59) != multiply(inverse(multiply(greatest_lower_bound(inverse(X_59),X_90),X_59)),greatest_lower_bound(inverse(X_59),X_90))
| inverse(X_59) = multiply(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),greatest_lower_bound(inverse(X_59),X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_59),multiply(inverse(multiply(greatest_lower_bound(inverse(X_59),X_90),X_59)),greatest_lower_bound(inverse(X_59),X_90))) ),[1,0,0],$fot(greatest_lower_bound(identity,multiply(X_90,X_59)))]]) ).
cnf(refute_0_688,plain,
( inverse(X_59) != multiply(inverse(multiply(greatest_lower_bound(inverse(X_59),X_90),X_59)),greatest_lower_bound(inverse(X_59),X_90))
| inverse(X_59) = multiply(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),greatest_lower_bound(inverse(X_59),X_90)) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(inverse(X_59),X_90),X_59),greatest_lower_bound(identity,multiply(X_90,X_59))) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
inverse(X_59) = multiply(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),greatest_lower_bound(inverse(X_59),X_90)),
inference(resolve,[$cnf( $equal(inverse(X_59),multiply(inverse(multiply(greatest_lower_bound(inverse(X_59),X_90),X_59)),greatest_lower_bound(inverse(X_59),X_90))) )],[refute_0_685,refute_0_688]) ).
cnf(refute_0_690,plain,
inverse(X_282) = multiply(inverse(greatest_lower_bound(identity,multiply(X_283,X_282))),greatest_lower_bound(inverse(X_282),X_283)),
inference(subst,[],[refute_0_689:[bind(X_59,$fot(X_282)),bind(X_90,$fot(X_283))]]) ).
cnf(refute_0_691,plain,
( inverse(X_282) != multiply(inverse(greatest_lower_bound(identity,multiply(X_283,X_282))),greatest_lower_bound(inverse(X_282),X_283))
| multiply(inverse(greatest_lower_bound(identity,multiply(X_283,X_282))),greatest_lower_bound(inverse(X_282),X_283)) = inverse(X_282) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(X_282))),bind(Y0,$fot(multiply(inverse(greatest_lower_bound(identity,multiply(X_283,X_282))),greatest_lower_bound(inverse(X_282),X_283))))]]) ).
cnf(refute_0_692,plain,
multiply(inverse(greatest_lower_bound(identity,multiply(X_283,X_282))),greatest_lower_bound(inverse(X_282),X_283)) = inverse(X_282),
inference(resolve,[$cnf( $equal(inverse(X_282),multiply(inverse(greatest_lower_bound(identity,multiply(X_283,X_282))),greatest_lower_bound(inverse(X_282),X_283))) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
( multiply(inverse(greatest_lower_bound(identity,multiply(X_283,X_282))),greatest_lower_bound(inverse(X_282),X_283)) != inverse(X_282)
| greatest_lower_bound(inverse(X_282),X_283) != multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(X_283,X_282))),greatest_lower_bound(inverse(X_282),X_283))))
| greatest_lower_bound(inverse(X_282),X_283) = multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(inverse(X_282),X_283),multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(X_283,X_282))),greatest_lower_bound(inverse(X_282),X_283))))) ),[1,1,1],$fot(inverse(X_282))]]) ).
cnf(refute_0_694,plain,
( greatest_lower_bound(inverse(X_282),X_283) != multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(X_283,X_282))),greatest_lower_bound(inverse(X_282),X_283))))
| greatest_lower_bound(inverse(X_282),X_283) = multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,multiply(X_283,X_282))),greatest_lower_bound(inverse(X_282),X_283)),inverse(X_282)) )],[refute_0_692,refute_0_693]) ).
cnf(refute_0_695,plain,
greatest_lower_bound(inverse(X_282),X_283) = multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(X_282),X_283),multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(X_283,X_282))),greatest_lower_bound(inverse(X_282),X_283))))) )],[refute_0_684,refute_0_694]) ).
cnf(refute_0_696,plain,
multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(X_282)) = greatest_lower_bound(X_283,inverse(X_282)),
inference(subst,[],[refute_0_582:[bind(X_169,$fot(X_283)),bind(X_85,$fot(X_282))]]) ).
cnf(refute_0_697,plain,
inverse(inverse(X_93)) = multiply(inverse(multiply(greatest_lower_bound(X_93,identity),inverse(X_93))),greatest_lower_bound(X_93,identity)),
inference(subst,[],[refute_0_106:[bind(X_58,$fot(greatest_lower_bound(X_93,identity))),bind(X_59,$fot(inverse(X_93)))]]) ).
cnf(refute_0_698,plain,
multiply(greatest_lower_bound(X_91,identity),inverse(X_91)) = greatest_lower_bound(identity,multiply(identity,inverse(X_91))),
inference(subst,[],[refute_0_555:[bind(X_85,$fot(X_91)),bind(X_86,$fot(identity))]]) ).
cnf(refute_0_699,plain,
multiply(identity,inverse(X_91)) = inverse(X_91),
inference(subst,[],[left_identity:[bind(X,$fot(inverse(X_91)))]]) ).
cnf(refute_0_700,plain,
( multiply(greatest_lower_bound(X_91,identity),inverse(X_91)) != greatest_lower_bound(identity,multiply(identity,inverse(X_91)))
| multiply(identity,inverse(X_91)) != inverse(X_91)
| multiply(greatest_lower_bound(X_91,identity),inverse(X_91)) = greatest_lower_bound(identity,inverse(X_91)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(X_91,identity),inverse(X_91)),greatest_lower_bound(identity,multiply(identity,inverse(X_91)))) ),[1,1],$fot(inverse(X_91))]]) ).
cnf(refute_0_701,plain,
( multiply(greatest_lower_bound(X_91,identity),inverse(X_91)) != greatest_lower_bound(identity,multiply(identity,inverse(X_91)))
| multiply(greatest_lower_bound(X_91,identity),inverse(X_91)) = greatest_lower_bound(identity,inverse(X_91)) ),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(X_91)),inverse(X_91)) )],[refute_0_699,refute_0_700]) ).
cnf(refute_0_702,plain,
multiply(greatest_lower_bound(X_91,identity),inverse(X_91)) = greatest_lower_bound(identity,inverse(X_91)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_91,identity),inverse(X_91)),greatest_lower_bound(identity,multiply(identity,inverse(X_91)))) )],[refute_0_698,refute_0_701]) ).
cnf(refute_0_703,plain,
multiply(greatest_lower_bound(X_93,identity),inverse(X_93)) = greatest_lower_bound(identity,inverse(X_93)),
inference(subst,[],[refute_0_702:[bind(X_91,$fot(X_93))]]) ).
cnf(refute_0_704,plain,
( multiply(greatest_lower_bound(X_93,identity),inverse(X_93)) != greatest_lower_bound(identity,inverse(X_93))
| inverse(inverse(X_93)) != multiply(inverse(multiply(greatest_lower_bound(X_93,identity),inverse(X_93))),greatest_lower_bound(X_93,identity))
| inverse(inverse(X_93)) = multiply(inverse(greatest_lower_bound(identity,inverse(X_93))),greatest_lower_bound(X_93,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_93)),multiply(inverse(multiply(greatest_lower_bound(X_93,identity),inverse(X_93))),greatest_lower_bound(X_93,identity))) ),[1,0,0],$fot(greatest_lower_bound(identity,inverse(X_93)))]]) ).
cnf(refute_0_705,plain,
( inverse(inverse(X_93)) != multiply(inverse(multiply(greatest_lower_bound(X_93,identity),inverse(X_93))),greatest_lower_bound(X_93,identity))
| inverse(inverse(X_93)) = multiply(inverse(greatest_lower_bound(identity,inverse(X_93))),greatest_lower_bound(X_93,identity)) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_93,identity),inverse(X_93)),greatest_lower_bound(identity,inverse(X_93))) )],[refute_0_703,refute_0_704]) ).
cnf(refute_0_706,plain,
inverse(inverse(X_93)) = multiply(inverse(greatest_lower_bound(identity,inverse(X_93))),greatest_lower_bound(X_93,identity)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_93)),multiply(inverse(multiply(greatest_lower_bound(X_93,identity),inverse(X_93))),greatest_lower_bound(X_93,identity))) )],[refute_0_697,refute_0_705]) ).
cnf(refute_0_707,plain,
inverse(inverse(X_93)) = X_93,
inference(subst,[],[p20_2:[bind(X,$fot(X_93))]]) ).
cnf(refute_0_708,plain,
( inverse(inverse(X_93)) != X_93
| inverse(inverse(X_93)) != multiply(inverse(greatest_lower_bound(identity,inverse(X_93))),greatest_lower_bound(X_93,identity))
| X_93 = multiply(inverse(greatest_lower_bound(identity,inverse(X_93))),greatest_lower_bound(X_93,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_93)),multiply(inverse(greatest_lower_bound(identity,inverse(X_93))),greatest_lower_bound(X_93,identity))) ),[0],$fot(X_93)]]) ).
cnf(refute_0_709,plain,
( inverse(inverse(X_93)) != multiply(inverse(greatest_lower_bound(identity,inverse(X_93))),greatest_lower_bound(X_93,identity))
| X_93 = multiply(inverse(greatest_lower_bound(identity,inverse(X_93))),greatest_lower_bound(X_93,identity)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_93)),X_93) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
X_93 = multiply(inverse(greatest_lower_bound(identity,inverse(X_93))),greatest_lower_bound(X_93,identity)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_93)),multiply(inverse(greatest_lower_bound(identity,inverse(X_93))),greatest_lower_bound(X_93,identity))) )],[refute_0_706,refute_0_709]) ).
cnf(refute_0_711,plain,
inverse(X) = multiply(inverse(greatest_lower_bound(identity,inverse(inverse(X)))),greatest_lower_bound(inverse(X),identity)),
inference(subst,[],[refute_0_710:[bind(X_93,$fot(inverse(X)))]]) ).
cnf(refute_0_712,plain,
( inverse(X) != multiply(inverse(greatest_lower_bound(identity,inverse(inverse(X)))),greatest_lower_bound(inverse(X),identity))
| inverse(inverse(X)) != X
| inverse(X) = multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(inverse(X),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),multiply(inverse(greatest_lower_bound(identity,inverse(inverse(X)))),greatest_lower_bound(inverse(X),identity))) ),[1,0,0,1],$fot(X)]]) ).
cnf(refute_0_713,plain,
( inverse(X) != multiply(inverse(greatest_lower_bound(identity,inverse(inverse(X)))),greatest_lower_bound(inverse(X),identity))
| inverse(X) = multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(inverse(X),identity)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X)),X) )],[p20_2,refute_0_712]) ).
cnf(refute_0_714,plain,
inverse(X) = multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(inverse(X),identity)),
inference(resolve,[$cnf( $equal(inverse(X),multiply(inverse(greatest_lower_bound(identity,inverse(inverse(X)))),greatest_lower_bound(inverse(X),identity))) )],[refute_0_711,refute_0_713]) ).
cnf(refute_0_715,plain,
inverse(multiply(inverse(greatest_lower_bound(X_76,X_77)),X_23)) = multiply(inverse(X_23),greatest_lower_bound(X_76,X_77)),
inference(subst,[],[refute_0_63:[bind(X,$fot(greatest_lower_bound(X_76,X_77)))]]) ).
cnf(refute_0_716,plain,
( inverse(multiply(inverse(greatest_lower_bound(X_76,X_77)),X_23)) != multiply(inverse(X_23),greatest_lower_bound(X_76,X_77))
| inverse(greatest_lower_bound(X_76,X_77)) != inverse(greatest_lower_bound(X_77,X_76))
| inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),X_23)) = multiply(inverse(X_23),greatest_lower_bound(X_76,X_77)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(greatest_lower_bound(X_76,X_77)),X_23)),multiply(inverse(X_23),greatest_lower_bound(X_76,X_77))) ),[0,0,0],$fot(inverse(greatest_lower_bound(X_77,X_76)))]]) ).
cnf(refute_0_717,plain,
( inverse(multiply(inverse(greatest_lower_bound(X_76,X_77)),X_23)) != multiply(inverse(X_23),greatest_lower_bound(X_76,X_77))
| inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),X_23)) = multiply(inverse(X_23),greatest_lower_bound(X_76,X_77)) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76))) )],[refute_0_149,refute_0_716]) ).
cnf(refute_0_718,plain,
inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),X_23)) = multiply(inverse(X_23),greatest_lower_bound(X_76,X_77)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(greatest_lower_bound(X_76,X_77)),X_23)),multiply(inverse(X_23),greatest_lower_bound(X_76,X_77))) )],[refute_0_715,refute_0_717]) ).
cnf(refute_0_719,plain,
inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),X_23)) = multiply(inverse(X_23),greatest_lower_bound(X_77,X_76)),
inference(subst,[],[refute_0_63:[bind(X,$fot(greatest_lower_bound(X_77,X_76)))]]) ).
cnf(refute_0_720,plain,
( inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),X_23)) != multiply(inverse(X_23),greatest_lower_bound(X_76,X_77))
| inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),X_23)) != multiply(inverse(X_23),greatest_lower_bound(X_77,X_76))
| multiply(inverse(X_23),greatest_lower_bound(X_77,X_76)) = multiply(inverse(X_23),greatest_lower_bound(X_76,X_77)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),X_23)),multiply(inverse(X_23),greatest_lower_bound(X_76,X_77))) ),[0],$fot(multiply(inverse(X_23),greatest_lower_bound(X_77,X_76)))]]) ).
cnf(refute_0_721,plain,
( inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),X_23)) != multiply(inverse(X_23),greatest_lower_bound(X_76,X_77))
| multiply(inverse(X_23),greatest_lower_bound(X_77,X_76)) = multiply(inverse(X_23),greatest_lower_bound(X_76,X_77)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),X_23)),multiply(inverse(X_23),greatest_lower_bound(X_77,X_76))) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
multiply(inverse(X_23),greatest_lower_bound(X_77,X_76)) = multiply(inverse(X_23),greatest_lower_bound(X_76,X_77)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(greatest_lower_bound(X_77,X_76)),X_23)),multiply(inverse(X_23),greatest_lower_bound(X_76,X_77))) )],[refute_0_718,refute_0_721]) ).
cnf(refute_0_723,plain,
( multiply(inverse(X_23),greatest_lower_bound(X_77,X_76)) != multiply(inverse(X_23),greatest_lower_bound(X_76,X_77))
| multiply(inverse(X_23),greatest_lower_bound(X_76,X_77)) = multiply(inverse(X_23),greatest_lower_bound(X_77,X_76)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(inverse(X_23),greatest_lower_bound(X_77,X_76)))),bind(Y0,$fot(multiply(inverse(X_23),greatest_lower_bound(X_76,X_77))))]]) ).
cnf(refute_0_724,plain,
multiply(inverse(X_23),greatest_lower_bound(X_76,X_77)) = multiply(inverse(X_23),greatest_lower_bound(X_77,X_76)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_23),greatest_lower_bound(X_77,X_76)),multiply(inverse(X_23),greatest_lower_bound(X_76,X_77))) )],[refute_0_722,refute_0_723]) ).
cnf(refute_0_725,plain,
multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(inverse(X),identity)) = multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(identity,inverse(X))),
inference(subst,[],[refute_0_724:[bind(X_23,$fot(greatest_lower_bound(identity,X))),bind(X_76,$fot(inverse(X))),bind(X_77,$fot(identity))]]) ).
cnf(refute_0_726,plain,
( multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(inverse(X),identity)) != multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(identity,inverse(X)))
| inverse(X) != multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(inverse(X),identity))
| inverse(X) = multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(identity,inverse(X))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(inverse(X),identity))) ),[1],$fot(multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(identity,inverse(X))))]]) ).
cnf(refute_0_727,plain,
( inverse(X) != multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(inverse(X),identity))
| inverse(X) = multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(identity,inverse(X))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(inverse(X),identity)),multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(identity,inverse(X)))) )],[refute_0_725,refute_0_726]) ).
cnf(refute_0_728,plain,
inverse(X) = multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(identity,inverse(X))),
inference(resolve,[$cnf( $equal(inverse(X),multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(inverse(X),identity))) )],[refute_0_714,refute_0_727]) ).
cnf(refute_0_729,plain,
( inverse(X) != multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(identity,inverse(X)))
| multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(identity,inverse(X))) = inverse(X) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(X))),bind(Y0,$fot(multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(identity,inverse(X)))))]]) ).
cnf(refute_0_730,plain,
multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(identity,inverse(X))) = inverse(X),
inference(resolve,[$cnf( $equal(inverse(X),multiply(inverse(greatest_lower_bound(identity,X)),greatest_lower_bound(identity,inverse(X)))) )],[refute_0_728,refute_0_729]) ).
cnf(refute_0_731,plain,
multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282))) = inverse(X_282),
inference(subst,[],[refute_0_730:[bind(X,$fot(X_282))]]) ).
cnf(refute_0_732,plain,
multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282)))) = multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282)))),
introduced(tautology,[refl,[$fot(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282)))))]]) ).
cnf(refute_0_733,plain,
( multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282)))) != multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282))))
| multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282))) != inverse(X_282)
| multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282)))) = multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(X_282)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282)))),multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282))))) ),[1,1],$fot(inverse(X_282))]]) ).
cnf(refute_0_734,plain,
( multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282))) != inverse(X_282)
| multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282)))) = multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(X_282)) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282)))),multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282))))) )],[refute_0_732,refute_0_733]) ).
cnf(refute_0_735,plain,
multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282)))) = multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(X_282)),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282))),inverse(X_282)) )],[refute_0_731,refute_0_734]) ).
cnf(refute_0_736,plain,
( multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282)))) != multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(X_282))
| multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(X_282)) != greatest_lower_bound(X_283,inverse(X_282))
| multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282)))) = greatest_lower_bound(X_283,inverse(X_282)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282)))))),bind(Y0,$fot(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(X_282)))),bind(Z0,$fot(greatest_lower_bound(X_283,inverse(X_282))))]]) ).
cnf(refute_0_737,plain,
( multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(X_282)) != greatest_lower_bound(X_283,inverse(X_282))
| multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282)))) = greatest_lower_bound(X_283,inverse(X_282)) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282)))),multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(X_282))) )],[refute_0_735,refute_0_736]) ).
cnf(refute_0_738,plain,
multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282)))) = greatest_lower_bound(X_283,inverse(X_282)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(X_282)),greatest_lower_bound(X_283,inverse(X_282))) )],[refute_0_696,refute_0_737]) ).
cnf(refute_0_739,plain,
multiply(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))),greatest_lower_bound(identity,inverse(X_282))) = multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282)))),
inference(subst,[],[associativity:[bind(X,$fot(greatest_lower_bound(identity,multiply(X_283,X_282)))),bind(Y,$fot(inverse(greatest_lower_bound(identity,X_282)))),bind(Z,$fot(greatest_lower_bound(identity,inverse(X_282))))]]) ).
cnf(refute_0_740,plain,
( multiply(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))),greatest_lower_bound(identity,inverse(X_282))) != multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282))))
| multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282)))) != greatest_lower_bound(X_283,inverse(X_282))
| multiply(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))),greatest_lower_bound(identity,inverse(X_282))) = greatest_lower_bound(X_283,inverse(X_282)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))),greatest_lower_bound(identity,inverse(X_282))))),bind(Y0,$fot(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282)))))),bind(Z0,$fot(greatest_lower_bound(X_283,inverse(X_282))))]]) ).
cnf(refute_0_741,plain,
( multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282)))) != greatest_lower_bound(X_283,inverse(X_282))
| multiply(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))),greatest_lower_bound(identity,inverse(X_282))) = greatest_lower_bound(X_283,inverse(X_282)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))),greatest_lower_bound(identity,inverse(X_282))),multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282))))) )],[refute_0_739,refute_0_740]) ).
cnf(refute_0_742,plain,
multiply(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))),greatest_lower_bound(identity,inverse(X_282))) = greatest_lower_bound(X_283,inverse(X_282)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),multiply(inverse(greatest_lower_bound(identity,X_282)),greatest_lower_bound(identity,inverse(X_282)))),greatest_lower_bound(X_283,inverse(X_282))) )],[refute_0_738,refute_0_741]) ).
cnf(refute_0_743,plain,
inverse(multiply(greatest_lower_bound(identity,X_282),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))) = multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))),
inference(subst,[],[refute_0_378:[bind(X,$fot(greatest_lower_bound(identity,multiply(X_283,X_282)))),bind(X_22,$fot(greatest_lower_bound(identity,X_282)))]]) ).
cnf(refute_0_744,plain,
multiply(greatest_lower_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),greatest_lower_bound(inverse(X_59),X_90))),inverse(greatest_lower_bound(inverse(X_59),X_90))) = greatest_lower_bound(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),inverse(greatest_lower_bound(inverse(X_59),X_90))),
inference(subst,[],[refute_0_582:[bind(X_169,$fot(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))))),bind(X_85,$fot(greatest_lower_bound(inverse(X_59),X_90)))]]) ).
cnf(refute_0_745,plain,
( inverse(X_59) != multiply(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),greatest_lower_bound(inverse(X_59),X_90))
| multiply(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),greatest_lower_bound(inverse(X_59),X_90)) = inverse(X_59) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(X_59))),bind(Y0,$fot(multiply(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),greatest_lower_bound(inverse(X_59),X_90))))]]) ).
cnf(refute_0_746,plain,
multiply(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),greatest_lower_bound(inverse(X_59),X_90)) = inverse(X_59),
inference(resolve,[$cnf( $equal(inverse(X_59),multiply(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),greatest_lower_bound(inverse(X_59),X_90))) )],[refute_0_689,refute_0_745]) ).
cnf(refute_0_747,plain,
( multiply(greatest_lower_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),greatest_lower_bound(inverse(X_59),X_90))),inverse(greatest_lower_bound(inverse(X_59),X_90))) != greatest_lower_bound(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),inverse(greatest_lower_bound(inverse(X_59),X_90)))
| multiply(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),greatest_lower_bound(inverse(X_59),X_90)) != inverse(X_59)
| multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))) = greatest_lower_bound(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),inverse(greatest_lower_bound(inverse(X_59),X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),greatest_lower_bound(inverse(X_59),X_90))),inverse(greatest_lower_bound(inverse(X_59),X_90))),greatest_lower_bound(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),inverse(greatest_lower_bound(inverse(X_59),X_90)))) ),[0,0,1],$fot(inverse(X_59))]]) ).
cnf(refute_0_748,plain,
( multiply(greatest_lower_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),greatest_lower_bound(inverse(X_59),X_90))),inverse(greatest_lower_bound(inverse(X_59),X_90))) != greatest_lower_bound(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),inverse(greatest_lower_bound(inverse(X_59),X_90)))
| multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))) = greatest_lower_bound(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),inverse(greatest_lower_bound(inverse(X_59),X_90))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),greatest_lower_bound(inverse(X_59),X_90)),inverse(X_59)) )],[refute_0_746,refute_0_747]) ).
cnf(refute_0_749,plain,
multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))) = greatest_lower_bound(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),inverse(greatest_lower_bound(inverse(X_59),X_90))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),greatest_lower_bound(inverse(X_59),X_90))),inverse(greatest_lower_bound(inverse(X_59),X_90))),greatest_lower_bound(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),inverse(greatest_lower_bound(inverse(X_59),X_90)))) )],[refute_0_744,refute_0_748]) ).
cnf(refute_0_750,plain,
greatest_lower_bound(X_67,inverse(X_190)) = multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,multiply(X_190,greatest_lower_bound(X_67,inverse(X_190))))),
inference(subst,[],[refute_0_683:[bind(X_57,$fot(greatest_lower_bound(X_67,inverse(X_190)))),bind(X_90,$fot(X_190))]]) ).
cnf(refute_0_751,plain,
multiply(X_190,greatest_lower_bound(X_67,inverse(X_190))) = greatest_lower_bound(identity,multiply(X_190,X_67)),
inference(subst,[],[refute_0_135:[bind(X_66,$fot(X_190))]]) ).
cnf(refute_0_752,plain,
( multiply(X_190,greatest_lower_bound(X_67,inverse(X_190))) != greatest_lower_bound(identity,multiply(X_190,X_67))
| greatest_lower_bound(X_67,inverse(X_190)) != multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,multiply(X_190,greatest_lower_bound(X_67,inverse(X_190)))))
| greatest_lower_bound(X_67,inverse(X_190)) = multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_67,inverse(X_190)),multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,multiply(X_190,greatest_lower_bound(X_67,inverse(X_190)))))) ),[1,1,1],$fot(greatest_lower_bound(identity,multiply(X_190,X_67)))]]) ).
cnf(refute_0_753,plain,
( greatest_lower_bound(X_67,inverse(X_190)) != multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,multiply(X_190,greatest_lower_bound(X_67,inverse(X_190)))))
| greatest_lower_bound(X_67,inverse(X_190)) = multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))) ),
inference(resolve,[$cnf( $equal(multiply(X_190,greatest_lower_bound(X_67,inverse(X_190))),greatest_lower_bound(identity,multiply(X_190,X_67))) )],[refute_0_751,refute_0_752]) ).
cnf(refute_0_754,plain,
greatest_lower_bound(X_67,inverse(X_190)) = multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_67,inverse(X_190)),multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,multiply(X_190,greatest_lower_bound(X_67,inverse(X_190)))))) )],[refute_0_750,refute_0_753]) ).
cnf(refute_0_755,plain,
greatest_lower_bound(greatest_lower_bound(X_19,Y),least_upper_bound(X_19,greatest_lower_bound(X_19,Y))) = greatest_lower_bound(X_19,Y),
inference(subst,[],[refute_0_450:[bind(X_14,$fot(greatest_lower_bound(X_19,Y))),bind(X_15,$fot(X_19))]]) ).
cnf(refute_0_756,plain,
least_upper_bound(X_19,greatest_lower_bound(X_19,Y)) = X_19,
inference(subst,[],[lub_absorbtion:[bind(X,$fot(X_19))]]) ).
cnf(refute_0_757,plain,
( greatest_lower_bound(greatest_lower_bound(X_19,Y),least_upper_bound(X_19,greatest_lower_bound(X_19,Y))) != greatest_lower_bound(X_19,Y)
| least_upper_bound(X_19,greatest_lower_bound(X_19,Y)) != X_19
| greatest_lower_bound(greatest_lower_bound(X_19,Y),X_19) = greatest_lower_bound(X_19,Y) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_19,Y),least_upper_bound(X_19,greatest_lower_bound(X_19,Y))),greatest_lower_bound(X_19,Y)) ),[0,1],$fot(X_19)]]) ).
cnf(refute_0_758,plain,
( greatest_lower_bound(greatest_lower_bound(X_19,Y),least_upper_bound(X_19,greatest_lower_bound(X_19,Y))) != greatest_lower_bound(X_19,Y)
| greatest_lower_bound(greatest_lower_bound(X_19,Y),X_19) = greatest_lower_bound(X_19,Y) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_19,greatest_lower_bound(X_19,Y)),X_19) )],[refute_0_756,refute_0_757]) ).
cnf(refute_0_759,plain,
greatest_lower_bound(greatest_lower_bound(X_19,Y),X_19) = greatest_lower_bound(X_19,Y),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_19,Y),least_upper_bound(X_19,greatest_lower_bound(X_19,Y))),greatest_lower_bound(X_19,Y)) )],[refute_0_755,refute_0_758]) ).
cnf(refute_0_760,plain,
( greatest_lower_bound(X,greatest_lower_bound(Y,Z)) != greatest_lower_bound(greatest_lower_bound(X,Y),Z)
| greatest_lower_bound(greatest_lower_bound(X,Y),Z) = greatest_lower_bound(X,greatest_lower_bound(Y,Z)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X,greatest_lower_bound(Y,Z)))),bind(Y0,$fot(greatest_lower_bound(greatest_lower_bound(X,Y),Z)))]]) ).
cnf(refute_0_761,plain,
greatest_lower_bound(greatest_lower_bound(X,Y),Z) = greatest_lower_bound(X,greatest_lower_bound(Y,Z)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(greatest_lower_bound(X,Y),Z)) )],[associativity_of_glb,refute_0_760]) ).
cnf(refute_0_762,plain,
greatest_lower_bound(greatest_lower_bound(X_19,Y),X_19) = greatest_lower_bound(X_19,greatest_lower_bound(Y,X_19)),
inference(subst,[],[refute_0_761:[bind(X,$fot(X_19)),bind(Z,$fot(X_19))]]) ).
cnf(refute_0_763,plain,
( greatest_lower_bound(greatest_lower_bound(X_19,Y),X_19) != greatest_lower_bound(X_19,Y)
| greatest_lower_bound(greatest_lower_bound(X_19,Y),X_19) != greatest_lower_bound(X_19,greatest_lower_bound(Y,X_19))
| greatest_lower_bound(X_19,greatest_lower_bound(Y,X_19)) = greatest_lower_bound(X_19,Y) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_19,Y),X_19),greatest_lower_bound(X_19,Y)) ),[0],$fot(greatest_lower_bound(X_19,greatest_lower_bound(Y,X_19)))]]) ).
cnf(refute_0_764,plain,
( greatest_lower_bound(greatest_lower_bound(X_19,Y),X_19) != greatest_lower_bound(X_19,Y)
| greatest_lower_bound(X_19,greatest_lower_bound(Y,X_19)) = greatest_lower_bound(X_19,Y) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_19,Y),X_19),greatest_lower_bound(X_19,greatest_lower_bound(Y,X_19))) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
greatest_lower_bound(X_19,greatest_lower_bound(Y,X_19)) = greatest_lower_bound(X_19,Y),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_19,Y),X_19),greatest_lower_bound(X_19,Y)) )],[refute_0_759,refute_0_764]) ).
cnf(refute_0_766,plain,
greatest_lower_bound(X_31,greatest_lower_bound(X_30,X_31)) = greatest_lower_bound(X_31,X_30),
inference(subst,[],[refute_0_765:[bind(Y,$fot(X_30)),bind(X_19,$fot(X_31))]]) ).
cnf(refute_0_767,plain,
greatest_lower_bound(X_31,X_30) = greatest_lower_bound(X_30,X_31),
inference(subst,[],[symmetry_of_glb:[bind(X,$fot(X_31)),bind(Y,$fot(X_30))]]) ).
cnf(refute_0_768,plain,
( greatest_lower_bound(X_31,X_30) != greatest_lower_bound(X_30,X_31)
| greatest_lower_bound(X_30,X_31) = greatest_lower_bound(X_31,X_30) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_31,X_30))),bind(Y0,$fot(greatest_lower_bound(X_30,X_31)))]]) ).
cnf(refute_0_769,plain,
greatest_lower_bound(X_30,X_31) = greatest_lower_bound(X_31,X_30),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_31,X_30),greatest_lower_bound(X_30,X_31)) )],[refute_0_767,refute_0_768]) ).
cnf(refute_0_770,plain,
( greatest_lower_bound(X_30,X_31) != greatest_lower_bound(X_31,X_30)
| greatest_lower_bound(X_31,greatest_lower_bound(X_30,X_31)) != greatest_lower_bound(X_31,X_30)
| greatest_lower_bound(X_31,greatest_lower_bound(X_31,X_30)) = greatest_lower_bound(X_31,X_30) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_31,greatest_lower_bound(X_30,X_31)),greatest_lower_bound(X_31,X_30)) ),[0,1],$fot(greatest_lower_bound(X_31,X_30))]]) ).
cnf(refute_0_771,plain,
( greatest_lower_bound(X_31,greatest_lower_bound(X_30,X_31)) != greatest_lower_bound(X_31,X_30)
| greatest_lower_bound(X_31,greatest_lower_bound(X_31,X_30)) = greatest_lower_bound(X_31,X_30) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_30,X_31),greatest_lower_bound(X_31,X_30)) )],[refute_0_769,refute_0_770]) ).
cnf(refute_0_772,plain,
greatest_lower_bound(X_31,greatest_lower_bound(X_31,X_30)) = greatest_lower_bound(X_31,X_30),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_31,greatest_lower_bound(X_30,X_31)),greatest_lower_bound(X_31,X_30)) )],[refute_0_766,refute_0_771]) ).
cnf(refute_0_773,plain,
greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67))) = greatest_lower_bound(identity,multiply(X_190,X_67)),
inference(subst,[],[refute_0_772:[bind(X_30,$fot(multiply(X_190,X_67))),bind(X_31,$fot(identity))]]) ).
cnf(refute_0_774,plain,
multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))) = multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))),
introduced(tautology,[refl,[$fot(multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))))]]) ).
cnf(refute_0_775,plain,
( multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))) != multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67))))
| greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67))) != greatest_lower_bound(identity,multiply(X_190,X_67))
| multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))) = multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))),multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67))))) ),[1,1],$fot(greatest_lower_bound(identity,multiply(X_190,X_67)))]]) ).
cnf(refute_0_776,plain,
( greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67))) != greatest_lower_bound(identity,multiply(X_190,X_67))
| multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))) = multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))),multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67))))) )],[refute_0_774,refute_0_775]) ).
cnf(refute_0_777,plain,
multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))) = multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67))),greatest_lower_bound(identity,multiply(X_190,X_67))) )],[refute_0_773,refute_0_776]) ).
cnf(refute_0_778,plain,
inverse(multiply(inverse(X),greatest_lower_bound(X_76,X_77))) = multiply(inverse(greatest_lower_bound(X_76,X_77)),X),
inference(subst,[],[refute_0_63:[bind(X_23,$fot(greatest_lower_bound(X_76,X_77)))]]) ).
cnf(refute_0_779,plain,
( inverse(multiply(inverse(X),greatest_lower_bound(X_76,X_77))) != multiply(inverse(greatest_lower_bound(X_76,X_77)),X)
| inverse(greatest_lower_bound(X_76,X_77)) != inverse(greatest_lower_bound(X_77,X_76))
| inverse(multiply(inverse(X),greatest_lower_bound(X_76,X_77))) = multiply(inverse(greatest_lower_bound(X_77,X_76)),X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X),greatest_lower_bound(X_76,X_77))),multiply(inverse(greatest_lower_bound(X_76,X_77)),X)) ),[1,0],$fot(inverse(greatest_lower_bound(X_77,X_76)))]]) ).
cnf(refute_0_780,plain,
( inverse(multiply(inverse(X),greatest_lower_bound(X_76,X_77))) != multiply(inverse(greatest_lower_bound(X_76,X_77)),X)
| inverse(multiply(inverse(X),greatest_lower_bound(X_76,X_77))) = multiply(inverse(greatest_lower_bound(X_77,X_76)),X) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76))) )],[refute_0_149,refute_0_779]) ).
cnf(refute_0_781,plain,
inverse(multiply(inverse(X),greatest_lower_bound(X_76,X_77))) = multiply(inverse(greatest_lower_bound(X_77,X_76)),X),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X),greatest_lower_bound(X_76,X_77))),multiply(inverse(greatest_lower_bound(X_76,X_77)),X)) )],[refute_0_778,refute_0_780]) ).
cnf(refute_0_782,plain,
( inverse(multiply(inverse(X),greatest_lower_bound(X_76,X_77))) != multiply(inverse(greatest_lower_bound(X_76,X_77)),X)
| inverse(multiply(inverse(X),greatest_lower_bound(X_76,X_77))) != multiply(inverse(greatest_lower_bound(X_77,X_76)),X)
| multiply(inverse(greatest_lower_bound(X_76,X_77)),X) = multiply(inverse(greatest_lower_bound(X_77,X_76)),X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X),greatest_lower_bound(X_76,X_77))),multiply(inverse(greatest_lower_bound(X_77,X_76)),X)) ),[0],$fot(multiply(inverse(greatest_lower_bound(X_76,X_77)),X))]]) ).
cnf(refute_0_783,plain,
( inverse(multiply(inverse(X),greatest_lower_bound(X_76,X_77))) != multiply(inverse(greatest_lower_bound(X_77,X_76)),X)
| multiply(inverse(greatest_lower_bound(X_76,X_77)),X) = multiply(inverse(greatest_lower_bound(X_77,X_76)),X) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X),greatest_lower_bound(X_76,X_77))),multiply(inverse(greatest_lower_bound(X_76,X_77)),X)) )],[refute_0_778,refute_0_782]) ).
cnf(refute_0_784,plain,
multiply(inverse(greatest_lower_bound(X_76,X_77)),X) = multiply(inverse(greatest_lower_bound(X_77,X_76)),X),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X),greatest_lower_bound(X_76,X_77))),multiply(inverse(greatest_lower_bound(X_77,X_76)),X)) )],[refute_0_781,refute_0_783]) ).
cnf(refute_0_785,plain,
( multiply(inverse(greatest_lower_bound(X_76,X_77)),X) != multiply(inverse(greatest_lower_bound(X_77,X_76)),X)
| multiply(inverse(greatest_lower_bound(X_77,X_76)),X) = multiply(inverse(greatest_lower_bound(X_76,X_77)),X) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(inverse(greatest_lower_bound(X_76,X_77)),X))),bind(Y0,$fot(multiply(inverse(greatest_lower_bound(X_77,X_76)),X)))]]) ).
cnf(refute_0_786,plain,
multiply(inverse(greatest_lower_bound(X_77,X_76)),X) = multiply(inverse(greatest_lower_bound(X_76,X_77)),X),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_76,X_77)),X),multiply(inverse(greatest_lower_bound(X_77,X_76)),X)) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))) = multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))),
inference(subst,[],[refute_0_786:[bind(X,$fot(greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67))))),bind(X_76,$fot(X_190)),bind(X_77,$fot(inverse(greatest_lower_bound(X_67,inverse(X_190)))))]]) ).
cnf(refute_0_788,plain,
( multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))) != multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67)))
| multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))) != multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67))))
| multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))) = multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))))),bind(Y0,$fot(multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))))),bind(Z0,$fot(multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67)))))]]) ).
cnf(refute_0_789,plain,
( multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))) != multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67)))
| multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))) = multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))),multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67))))) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))) = multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))),multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67)))) )],[refute_0_777,refute_0_789]) ).
cnf(refute_0_791,plain,
( multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))) != multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67)))
| greatest_lower_bound(X_67,inverse(X_190)) != multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67))))
| greatest_lower_bound(X_67,inverse(X_190)) = multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_67,inverse(X_190)),multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67))))) ),[1],$fot(multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))))]]) ).
cnf(refute_0_792,plain,
( greatest_lower_bound(X_67,inverse(X_190)) != multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67))))
| greatest_lower_bound(X_67,inverse(X_190)) = multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67)))),multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67)))) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
greatest_lower_bound(X_67,inverse(X_190)) = multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_67,inverse(X_190)),multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(X_67,inverse(X_190))),X_190)),greatest_lower_bound(identity,greatest_lower_bound(identity,multiply(X_190,X_67))))) )],[refute_0_754,refute_0_792]) ).
cnf(refute_0_794,plain,
multiply(inverse(X_190),identity) = inverse(X_190),
inference(subst,[],[refute_0_573:[bind(X,$fot(inverse(X_190)))]]) ).
cnf(refute_0_795,plain,
greatest_lower_bound(multiply(inverse(X_190),identity),X_67) = greatest_lower_bound(multiply(inverse(X_190),identity),X_67),
introduced(tautology,[refl,[$fot(greatest_lower_bound(multiply(inverse(X_190),identity),X_67))]]) ).
cnf(refute_0_796,plain,
( multiply(inverse(X_190),identity) != inverse(X_190)
| greatest_lower_bound(multiply(inverse(X_190),identity),X_67) != greatest_lower_bound(multiply(inverse(X_190),identity),X_67)
| greatest_lower_bound(multiply(inverse(X_190),identity),X_67) = greatest_lower_bound(inverse(X_190),X_67) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(multiply(inverse(X_190),identity),X_67),greatest_lower_bound(multiply(inverse(X_190),identity),X_67)) ),[1,0],$fot(inverse(X_190))]]) ).
cnf(refute_0_797,plain,
( multiply(inverse(X_190),identity) != inverse(X_190)
| greatest_lower_bound(multiply(inverse(X_190),identity),X_67) = greatest_lower_bound(inverse(X_190),X_67) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(inverse(X_190),identity),X_67),greatest_lower_bound(multiply(inverse(X_190),identity),X_67)) )],[refute_0_795,refute_0_796]) ).
cnf(refute_0_798,plain,
greatest_lower_bound(multiply(inverse(X_190),identity),X_67) = greatest_lower_bound(inverse(X_190),X_67),
inference(resolve,[$cnf( $equal(multiply(inverse(X_190),identity),inverse(X_190)) )],[refute_0_794,refute_0_797]) ).
cnf(refute_0_799,plain,
multiply(inverse(X_56),greatest_lower_bound(X_67,multiply(X_56,X_57))) = greatest_lower_bound(multiply(inverse(X_56),X_67),multiply(inverse(X_56),multiply(X_56,X_57))),
inference(subst,[],[monotony_glb1:[bind(X,$fot(inverse(X_56))),bind(Y,$fot(X_67)),bind(Z,$fot(multiply(X_56,X_57)))]]) ).
cnf(refute_0_800,plain,
( X_57 != multiply(inverse(X_56),multiply(X_56,X_57))
| multiply(inverse(X_56),multiply(X_56,X_57)) = X_57 ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(X_57)),bind(Y0,$fot(multiply(inverse(X_56),multiply(X_56,X_57))))]]) ).
cnf(refute_0_801,plain,
multiply(inverse(X_56),multiply(X_56,X_57)) = X_57,
inference(resolve,[$cnf( $equal(X_57,multiply(inverse(X_56),multiply(X_56,X_57))) )],[refute_0_92,refute_0_800]) ).
cnf(refute_0_802,plain,
( multiply(inverse(X_56),multiply(X_56,X_57)) != X_57
| multiply(inverse(X_56),greatest_lower_bound(X_67,multiply(X_56,X_57))) != greatest_lower_bound(multiply(inverse(X_56),X_67),multiply(inverse(X_56),multiply(X_56,X_57)))
| multiply(inverse(X_56),greatest_lower_bound(X_67,multiply(X_56,X_57))) = greatest_lower_bound(multiply(inverse(X_56),X_67),X_57) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_56),greatest_lower_bound(X_67,multiply(X_56,X_57))),greatest_lower_bound(multiply(inverse(X_56),X_67),multiply(inverse(X_56),multiply(X_56,X_57)))) ),[1,1],$fot(X_57)]]) ).
cnf(refute_0_803,plain,
( multiply(inverse(X_56),greatest_lower_bound(X_67,multiply(X_56,X_57))) != greatest_lower_bound(multiply(inverse(X_56),X_67),multiply(inverse(X_56),multiply(X_56,X_57)))
| multiply(inverse(X_56),greatest_lower_bound(X_67,multiply(X_56,X_57))) = greatest_lower_bound(multiply(inverse(X_56),X_67),X_57) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),multiply(X_56,X_57)),X_57) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
multiply(inverse(X_56),greatest_lower_bound(X_67,multiply(X_56,X_57))) = greatest_lower_bound(multiply(inverse(X_56),X_67),X_57),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),greatest_lower_bound(X_67,multiply(X_56,X_57))),greatest_lower_bound(multiply(inverse(X_56),X_67),multiply(inverse(X_56),multiply(X_56,X_57)))) )],[refute_0_799,refute_0_803]) ).
cnf(refute_0_805,plain,
multiply(inverse(X_190),greatest_lower_bound(identity,multiply(X_190,X_67))) = greatest_lower_bound(multiply(inverse(X_190),identity),X_67),
inference(subst,[],[refute_0_804:[bind(X_56,$fot(X_190)),bind(X_57,$fot(X_67)),bind(X_67,$fot(identity))]]) ).
cnf(refute_0_806,plain,
( multiply(inverse(X_190),greatest_lower_bound(identity,multiply(X_190,X_67))) != greatest_lower_bound(multiply(inverse(X_190),identity),X_67)
| greatest_lower_bound(multiply(inverse(X_190),identity),X_67) != greatest_lower_bound(inverse(X_190),X_67)
| multiply(inverse(X_190),greatest_lower_bound(identity,multiply(X_190,X_67))) = greatest_lower_bound(inverse(X_190),X_67) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(X_190),greatest_lower_bound(identity,multiply(X_190,X_67))))),bind(Y0,$fot(greatest_lower_bound(multiply(inverse(X_190),identity),X_67))),bind(Z0,$fot(greatest_lower_bound(inverse(X_190),X_67)))]]) ).
cnf(refute_0_807,plain,
( greatest_lower_bound(multiply(inverse(X_190),identity),X_67) != greatest_lower_bound(inverse(X_190),X_67)
| multiply(inverse(X_190),greatest_lower_bound(identity,multiply(X_190,X_67))) = greatest_lower_bound(inverse(X_190),X_67) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_190),greatest_lower_bound(identity,multiply(X_190,X_67))),greatest_lower_bound(multiply(inverse(X_190),identity),X_67)) )],[refute_0_805,refute_0_806]) ).
cnf(refute_0_808,plain,
multiply(inverse(X_190),greatest_lower_bound(identity,multiply(X_190,X_67))) = greatest_lower_bound(inverse(X_190),X_67),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(inverse(X_190),identity),X_67),greatest_lower_bound(inverse(X_190),X_67)) )],[refute_0_798,refute_0_807]) ).
cnf(refute_0_809,plain,
multiply(X_66,greatest_lower_bound(identity,multiply(inverse(X_66),inverse(greatest_lower_bound(X_218,inverse(X_66)))))) = greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66)))),
inference(subst,[],[refute_0_549:[bind(X_57,$fot(inverse(greatest_lower_bound(X_218,inverse(X_66))))),bind(X_67,$fot(identity))]]) ).
cnf(refute_0_810,plain,
multiply(inverse(greatest_lower_bound(identity,X_30)),greatest_lower_bound(identity,greatest_lower_bound(identity,X_30))) = greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_30))),
inference(subst,[],[refute_0_55:[bind(X_75,$fot(greatest_lower_bound(identity,X_30)))]]) ).
cnf(refute_0_811,plain,
greatest_lower_bound(identity,greatest_lower_bound(identity,X_30)) = greatest_lower_bound(identity,X_30),
inference(subst,[],[refute_0_772:[bind(X_31,$fot(identity))]]) ).
cnf(refute_0_812,plain,
( multiply(inverse(greatest_lower_bound(identity,X_30)),greatest_lower_bound(identity,greatest_lower_bound(identity,X_30))) != greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_30)))
| greatest_lower_bound(identity,greatest_lower_bound(identity,X_30)) != greatest_lower_bound(identity,X_30)
| multiply(inverse(greatest_lower_bound(identity,X_30)),greatest_lower_bound(identity,X_30)) = greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,X_30)),greatest_lower_bound(identity,greatest_lower_bound(identity,X_30))),greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_30)))) ),[0,1],$fot(greatest_lower_bound(identity,X_30))]]) ).
cnf(refute_0_813,plain,
( multiply(inverse(greatest_lower_bound(identity,X_30)),greatest_lower_bound(identity,greatest_lower_bound(identity,X_30))) != greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_30)))
| multiply(inverse(greatest_lower_bound(identity,X_30)),greatest_lower_bound(identity,X_30)) = greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_30))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(identity,X_30)),greatest_lower_bound(identity,X_30)) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
multiply(inverse(greatest_lower_bound(identity,X_30)),greatest_lower_bound(identity,X_30)) = greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_30))),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,X_30)),greatest_lower_bound(identity,greatest_lower_bound(identity,X_30))),greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_30)))) )],[refute_0_810,refute_0_813]) ).
cnf(refute_0_815,plain,
multiply(inverse(greatest_lower_bound(identity,X_30)),greatest_lower_bound(identity,X_30)) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(greatest_lower_bound(identity,X_30)))]]) ).
cnf(refute_0_816,plain,
( multiply(inverse(greatest_lower_bound(identity,X_30)),greatest_lower_bound(identity,X_30)) != greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_30)))
| multiply(inverse(greatest_lower_bound(identity,X_30)),greatest_lower_bound(identity,X_30)) != identity
| identity = greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,X_30)),greatest_lower_bound(identity,X_30)),greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_30)))) ),[0],$fot(identity)]]) ).
cnf(refute_0_817,plain,
( multiply(inverse(greatest_lower_bound(identity,X_30)),greatest_lower_bound(identity,X_30)) != greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_30)))
| identity = greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_30))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,X_30)),greatest_lower_bound(identity,X_30)),identity) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
identity = greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_30))),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,X_30)),greatest_lower_bound(identity,X_30)),greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_30)))) )],[refute_0_814,refute_0_817]) ).
cnf(refute_0_819,plain,
identity = greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,multiply(X_92,inverse(X_91))))),
inference(subst,[],[refute_0_818:[bind(X_30,$fot(multiply(X_92,inverse(X_91))))]]) ).
cnf(refute_0_820,plain,
multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)) = greatest_lower_bound(identity,multiply(X_92,inverse(X_91))),
inference(subst,[],[refute_0_555:[bind(X_85,$fot(X_91)),bind(X_86,$fot(X_92))]]) ).
cnf(refute_0_821,plain,
( multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)) != greatest_lower_bound(identity,multiply(X_92,inverse(X_91)))
| greatest_lower_bound(identity,multiply(X_92,inverse(X_91))) = multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)))),bind(Y0,$fot(greatest_lower_bound(identity,multiply(X_92,inverse(X_91)))))]]) ).
cnf(refute_0_822,plain,
greatest_lower_bound(identity,multiply(X_92,inverse(X_91))) = multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)),greatest_lower_bound(identity,multiply(X_92,inverse(X_91)))) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
( greatest_lower_bound(identity,multiply(X_92,inverse(X_91))) != multiply(greatest_lower_bound(X_91,X_92),inverse(X_91))
| identity != greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,multiply(X_92,inverse(X_91)))))
| identity = greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,multiply(X_92,inverse(X_91)))))) ),[1,1,0],$fot(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)))]]) ).
cnf(refute_0_824,plain,
( identity != greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,multiply(X_92,inverse(X_91)))))
| identity = greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(X_92,inverse(X_91))),multiply(greatest_lower_bound(X_91,X_92),inverse(X_91))) )],[refute_0_822,refute_0_823]) ).
cnf(refute_0_825,plain,
identity = greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)))),
inference(resolve,[$cnf( $equal(identity,greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,multiply(X_92,inverse(X_91)))))) )],[refute_0_819,refute_0_824]) ).
cnf(refute_0_826,plain,
inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91))) = multiply(X_91,inverse(greatest_lower_bound(X_91,X_92))),
inference(subst,[],[refute_0_378:[bind(X,$fot(X_91)),bind(X_22,$fot(greatest_lower_bound(X_91,X_92)))]]) ).
cnf(refute_0_827,plain,
greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)))) = greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)))))]]) ).
cnf(refute_0_828,plain,
( greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)))) != greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91))))
| inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91))) != multiply(X_91,inverse(greatest_lower_bound(X_91,X_92)))
| greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)))) = greatest_lower_bound(identity,multiply(X_91,inverse(greatest_lower_bound(X_91,X_92)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)))),greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91))))) ),[1,1],$fot(multiply(X_91,inverse(greatest_lower_bound(X_91,X_92))))]]) ).
cnf(refute_0_829,plain,
( inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91))) != multiply(X_91,inverse(greatest_lower_bound(X_91,X_92)))
| greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)))) = greatest_lower_bound(identity,multiply(X_91,inverse(greatest_lower_bound(X_91,X_92)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)))),greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91))))) )],[refute_0_827,refute_0_828]) ).
cnf(refute_0_830,plain,
greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)))) = greatest_lower_bound(identity,multiply(X_91,inverse(greatest_lower_bound(X_91,X_92)))),
inference(resolve,[$cnf( $equal(inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91))),multiply(X_91,inverse(greatest_lower_bound(X_91,X_92)))) )],[refute_0_826,refute_0_829]) ).
cnf(refute_0_831,plain,
( greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)))) != greatest_lower_bound(identity,multiply(X_91,inverse(greatest_lower_bound(X_91,X_92))))
| identity != greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91))))
| identity = greatest_lower_bound(identity,multiply(X_91,inverse(greatest_lower_bound(X_91,X_92)))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91))))) ),[1],$fot(greatest_lower_bound(identity,multiply(X_91,inverse(greatest_lower_bound(X_91,X_92)))))]]) ).
cnf(refute_0_832,plain,
( identity != greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91))))
| identity = greatest_lower_bound(identity,multiply(X_91,inverse(greatest_lower_bound(X_91,X_92)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91)))),greatest_lower_bound(identity,multiply(X_91,inverse(greatest_lower_bound(X_91,X_92))))) )],[refute_0_830,refute_0_831]) ).
cnf(refute_0_833,plain,
identity = greatest_lower_bound(identity,multiply(X_91,inverse(greatest_lower_bound(X_91,X_92)))),
inference(resolve,[$cnf( $equal(identity,greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(X_91,X_92),inverse(X_91))))) )],[refute_0_825,refute_0_832]) ).
cnf(refute_0_834,plain,
identity = greatest_lower_bound(identity,multiply(X_107,inverse(greatest_lower_bound(X_107,X_108)))),
inference(subst,[],[refute_0_833:[bind(X_91,$fot(X_107)),bind(X_92,$fot(X_108))]]) ).
cnf(refute_0_835,plain,
greatest_lower_bound(X_108,X_107) = greatest_lower_bound(X_107,X_108),
inference(subst,[],[symmetry_of_glb:[bind(X,$fot(X_108)),bind(Y,$fot(X_107))]]) ).
cnf(refute_0_836,plain,
( greatest_lower_bound(X_108,X_107) != greatest_lower_bound(X_107,X_108)
| greatest_lower_bound(X_107,X_108) = greatest_lower_bound(X_108,X_107) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_108,X_107))),bind(Y0,$fot(greatest_lower_bound(X_107,X_108)))]]) ).
cnf(refute_0_837,plain,
greatest_lower_bound(X_107,X_108) = greatest_lower_bound(X_108,X_107),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_108,X_107),greatest_lower_bound(X_107,X_108)) )],[refute_0_835,refute_0_836]) ).
cnf(refute_0_838,plain,
( greatest_lower_bound(X_107,X_108) != greatest_lower_bound(X_108,X_107)
| identity != greatest_lower_bound(identity,multiply(X_107,inverse(greatest_lower_bound(X_107,X_108))))
| identity = greatest_lower_bound(identity,multiply(X_107,inverse(greatest_lower_bound(X_108,X_107)))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,greatest_lower_bound(identity,multiply(X_107,inverse(greatest_lower_bound(X_107,X_108))))) ),[1,1,1,0],$fot(greatest_lower_bound(X_108,X_107))]]) ).
cnf(refute_0_839,plain,
( identity != greatest_lower_bound(identity,multiply(X_107,inverse(greatest_lower_bound(X_107,X_108))))
| identity = greatest_lower_bound(identity,multiply(X_107,inverse(greatest_lower_bound(X_108,X_107)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_107,X_108),greatest_lower_bound(X_108,X_107)) )],[refute_0_837,refute_0_838]) ).
cnf(refute_0_840,plain,
identity = greatest_lower_bound(identity,multiply(X_107,inverse(greatest_lower_bound(X_108,X_107)))),
inference(resolve,[$cnf( $equal(identity,greatest_lower_bound(identity,multiply(X_107,inverse(greatest_lower_bound(X_107,X_108))))) )],[refute_0_834,refute_0_839]) ).
cnf(refute_0_841,plain,
identity = greatest_lower_bound(identity,multiply(inverse(X_66),inverse(greatest_lower_bound(X_218,inverse(X_66))))),
inference(subst,[],[refute_0_840:[bind(X_107,$fot(inverse(X_66))),bind(X_108,$fot(X_218))]]) ).
cnf(refute_0_842,plain,
( identity != greatest_lower_bound(identity,multiply(inverse(X_66),inverse(greatest_lower_bound(X_218,inverse(X_66)))))
| greatest_lower_bound(identity,multiply(inverse(X_66),inverse(greatest_lower_bound(X_218,inverse(X_66))))) = identity ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(identity)),bind(Y0,$fot(greatest_lower_bound(identity,multiply(inverse(X_66),inverse(greatest_lower_bound(X_218,inverse(X_66)))))))]]) ).
cnf(refute_0_843,plain,
greatest_lower_bound(identity,multiply(inverse(X_66),inverse(greatest_lower_bound(X_218,inverse(X_66))))) = identity,
inference(resolve,[$cnf( $equal(identity,greatest_lower_bound(identity,multiply(inverse(X_66),inverse(greatest_lower_bound(X_218,inverse(X_66)))))) )],[refute_0_841,refute_0_842]) ).
cnf(refute_0_844,plain,
( multiply(X_66,greatest_lower_bound(identity,multiply(inverse(X_66),inverse(greatest_lower_bound(X_218,inverse(X_66)))))) != greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66))))
| greatest_lower_bound(identity,multiply(inverse(X_66),inverse(greatest_lower_bound(X_218,inverse(X_66))))) != identity
| multiply(X_66,identity) = greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_66,greatest_lower_bound(identity,multiply(inverse(X_66),inverse(greatest_lower_bound(X_218,inverse(X_66)))))),greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66))))) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_845,plain,
( multiply(X_66,greatest_lower_bound(identity,multiply(inverse(X_66),inverse(greatest_lower_bound(X_218,inverse(X_66)))))) != greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66))))
| multiply(X_66,identity) = greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(inverse(X_66),inverse(greatest_lower_bound(X_218,inverse(X_66))))),identity) )],[refute_0_843,refute_0_844]) ).
cnf(refute_0_846,plain,
multiply(X_66,identity) = greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66)))),
inference(resolve,[$cnf( $equal(multiply(X_66,greatest_lower_bound(identity,multiply(inverse(X_66),inverse(greatest_lower_bound(X_218,inverse(X_66)))))),greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66))))) )],[refute_0_809,refute_0_845]) ).
cnf(refute_0_847,plain,
( multiply(X_66,identity) != X_66
| multiply(X_66,identity) != greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66))))
| X_66 = greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_66,identity),greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66))))) ),[0],$fot(X_66)]]) ).
cnf(refute_0_848,plain,
( multiply(X_66,identity) != greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66))))
| X_66 = greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66)))) ),
inference(resolve,[$cnf( $equal(multiply(X_66,identity),X_66) )],[refute_0_25,refute_0_847]) ).
cnf(refute_0_849,plain,
greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66)))) = greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66)))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66)))))]]) ).
cnf(refute_0_850,plain,
( multiply(X_66,identity) != X_66
| greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66)))) != greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66))))
| greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66)))) = greatest_lower_bound(X_66,inverse(greatest_lower_bound(X_218,inverse(X_66)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66)))),greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66))))) ),[1,0],$fot(X_66)]]) ).
cnf(refute_0_851,plain,
( multiply(X_66,identity) != X_66
| greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66)))) = greatest_lower_bound(X_66,inverse(greatest_lower_bound(X_218,inverse(X_66)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66)))),greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66))))) )],[refute_0_849,refute_0_850]) ).
cnf(refute_0_852,plain,
greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66)))) = greatest_lower_bound(X_66,inverse(greatest_lower_bound(X_218,inverse(X_66)))),
inference(resolve,[$cnf( $equal(multiply(X_66,identity),X_66) )],[refute_0_25,refute_0_851]) ).
cnf(refute_0_853,plain,
( X_66 != greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66))))
| greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66)))) != greatest_lower_bound(X_66,inverse(greatest_lower_bound(X_218,inverse(X_66))))
| X_66 = greatest_lower_bound(X_66,inverse(greatest_lower_bound(X_218,inverse(X_66)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_66,greatest_lower_bound(X_66,inverse(greatest_lower_bound(X_218,inverse(X_66))))) ),[0],$fot(greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66)))))]]) ).
cnf(refute_0_854,plain,
( X_66 != greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66))))
| X_66 = greatest_lower_bound(X_66,inverse(greatest_lower_bound(X_218,inverse(X_66)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66)))),greatest_lower_bound(X_66,inverse(greatest_lower_bound(X_218,inverse(X_66))))) )],[refute_0_852,refute_0_853]) ).
cnf(refute_0_855,plain,
( multiply(X_66,identity) != greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66))))
| X_66 = greatest_lower_bound(X_66,inverse(greatest_lower_bound(X_218,inverse(X_66)))) ),
inference(resolve,[$cnf( $equal(X_66,greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66))))) )],[refute_0_848,refute_0_854]) ).
cnf(refute_0_856,plain,
X_66 = greatest_lower_bound(X_66,inverse(greatest_lower_bound(X_218,inverse(X_66)))),
inference(resolve,[$cnf( $equal(multiply(X_66,identity),greatest_lower_bound(multiply(X_66,identity),inverse(greatest_lower_bound(X_218,inverse(X_66))))) )],[refute_0_846,refute_0_855]) ).
cnf(refute_0_857,plain,
( X_66 != greatest_lower_bound(X_66,inverse(greatest_lower_bound(X_218,inverse(X_66))))
| greatest_lower_bound(X_66,inverse(greatest_lower_bound(X_218,inverse(X_66)))) = X_66 ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(X_66)),bind(Y0,$fot(greatest_lower_bound(X_66,inverse(greatest_lower_bound(X_218,inverse(X_66))))))]]) ).
cnf(refute_0_858,plain,
greatest_lower_bound(X_66,inverse(greatest_lower_bound(X_218,inverse(X_66)))) = X_66,
inference(resolve,[$cnf( $equal(X_66,greatest_lower_bound(X_66,inverse(greatest_lower_bound(X_218,inverse(X_66))))) )],[refute_0_856,refute_0_857]) ).
cnf(refute_0_859,plain,
greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190)))) = X_190,
inference(subst,[],[refute_0_858:[bind(X_218,$fot(X_67)),bind(X_66,$fot(X_190))]]) ).
cnf(refute_0_860,plain,
inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))) = inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),
introduced(tautology,[refl,[$fot(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))))]]) ).
cnf(refute_0_861,plain,
( greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190)))) != X_190
| inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))) != inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190)))))
| inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))) = inverse(X_190) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190)))))) ),[1,0],$fot(X_190)]]) ).
cnf(refute_0_862,plain,
( greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190)))) != X_190
| inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))) = inverse(X_190) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190)))))) )],[refute_0_860,refute_0_861]) ).
cnf(refute_0_863,plain,
inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))) = inverse(X_190),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190)))),X_190) )],[refute_0_859,refute_0_862]) ).
cnf(refute_0_864,plain,
multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))) = multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))),
introduced(tautology,[refl,[$fot(multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))))]]) ).
cnf(refute_0_865,plain,
( multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))) != multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67)))
| inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))) != inverse(X_190)
| multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))) = multiply(inverse(X_190),greatest_lower_bound(identity,multiply(X_190,X_67))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))),multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67)))) ),[1,0],$fot(inverse(X_190))]]) ).
cnf(refute_0_866,plain,
( inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))) != inverse(X_190)
| multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))) = multiply(inverse(X_190),greatest_lower_bound(identity,multiply(X_190,X_67))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))),multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67)))) )],[refute_0_864,refute_0_865]) ).
cnf(refute_0_867,plain,
multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))) = multiply(inverse(X_190),greatest_lower_bound(identity,multiply(X_190,X_67))),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),inverse(X_190)) )],[refute_0_863,refute_0_866]) ).
cnf(refute_0_868,plain,
( multiply(inverse(X_190),greatest_lower_bound(identity,multiply(X_190,X_67))) != greatest_lower_bound(inverse(X_190),X_67)
| multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))) != multiply(inverse(X_190),greatest_lower_bound(identity,multiply(X_190,X_67)))
| multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))) = greatest_lower_bound(inverse(X_190),X_67) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))))),bind(Y0,$fot(multiply(inverse(X_190),greatest_lower_bound(identity,multiply(X_190,X_67))))),bind(Z0,$fot(greatest_lower_bound(inverse(X_190),X_67)))]]) ).
cnf(refute_0_869,plain,
( multiply(inverse(X_190),greatest_lower_bound(identity,multiply(X_190,X_67))) != greatest_lower_bound(inverse(X_190),X_67)
| multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))) = greatest_lower_bound(inverse(X_190),X_67) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))),multiply(inverse(X_190),greatest_lower_bound(identity,multiply(X_190,X_67)))) )],[refute_0_867,refute_0_868]) ).
cnf(refute_0_870,plain,
multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))) = greatest_lower_bound(inverse(X_190),X_67),
inference(resolve,[$cnf( $equal(multiply(inverse(X_190),greatest_lower_bound(identity,multiply(X_190,X_67))),greatest_lower_bound(inverse(X_190),X_67)) )],[refute_0_808,refute_0_869]) ).
cnf(refute_0_871,plain,
( multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))) != greatest_lower_bound(inverse(X_190),X_67)
| greatest_lower_bound(X_67,inverse(X_190)) != multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67)))
| greatest_lower_bound(X_67,inverse(X_190)) = greatest_lower_bound(inverse(X_190),X_67) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_67,inverse(X_190)),multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67)))) ),[1],$fot(greatest_lower_bound(inverse(X_190),X_67))]]) ).
cnf(refute_0_872,plain,
( greatest_lower_bound(X_67,inverse(X_190)) != multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67)))
| greatest_lower_bound(X_67,inverse(X_190)) = greatest_lower_bound(inverse(X_190),X_67) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67))),greatest_lower_bound(inverse(X_190),X_67)) )],[refute_0_870,refute_0_871]) ).
cnf(refute_0_873,plain,
greatest_lower_bound(X_67,inverse(X_190)) = greatest_lower_bound(inverse(X_190),X_67),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_67,inverse(X_190)),multiply(inverse(greatest_lower_bound(X_190,inverse(greatest_lower_bound(X_67,inverse(X_190))))),greatest_lower_bound(identity,multiply(X_190,X_67)))) )],[refute_0_793,refute_0_872]) ).
cnf(refute_0_874,plain,
greatest_lower_bound(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),inverse(greatest_lower_bound(inverse(X_59),X_90))) = greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))),
inference(subst,[],[refute_0_873:[bind(X_190,$fot(greatest_lower_bound(inverse(X_59),X_90))),bind(X_67,$fot(inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))))]]) ).
cnf(refute_0_875,plain,
( multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))) != greatest_lower_bound(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),inverse(greatest_lower_bound(inverse(X_59),X_90)))
| greatest_lower_bound(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),inverse(greatest_lower_bound(inverse(X_59),X_90))) != greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59))))
| multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))) = greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))),greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59))))) ),[0],$fot(greatest_lower_bound(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),inverse(greatest_lower_bound(inverse(X_59),X_90))))]]) ).
cnf(refute_0_876,plain,
( multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))) != greatest_lower_bound(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),inverse(greatest_lower_bound(inverse(X_59),X_90)))
| multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))) = greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),inverse(greatest_lower_bound(inverse(X_59),X_90))),greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59))))) )],[refute_0_874,refute_0_875]) ).
cnf(refute_0_877,plain,
multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))) = greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))),greatest_lower_bound(inverse(greatest_lower_bound(identity,multiply(X_90,X_59))),inverse(greatest_lower_bound(inverse(X_59),X_90)))) )],[refute_0_749,refute_0_876]) ).
cnf(refute_0_878,plain,
multiply(greatest_lower_bound(identity,multiply(inverse(greatest_lower_bound(inverse(X_57),X_90)),greatest_lower_bound(identity,multiply(X_90,X_57)))),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))) = greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_57),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))),
inference(subst,[],[refute_0_582:[bind(X_169,$fot(inverse(greatest_lower_bound(inverse(X_57),X_90)))),bind(X_85,$fot(greatest_lower_bound(identity,multiply(X_90,X_57))))]]) ).
cnf(refute_0_879,plain,
( X_57 != multiply(inverse(greatest_lower_bound(inverse(X_57),X_90)),greatest_lower_bound(identity,multiply(X_90,X_57)))
| multiply(inverse(greatest_lower_bound(inverse(X_57),X_90)),greatest_lower_bound(identity,multiply(X_90,X_57))) = X_57 ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(X_57)),bind(Y0,$fot(multiply(inverse(greatest_lower_bound(inverse(X_57),X_90)),greatest_lower_bound(identity,multiply(X_90,X_57)))))]]) ).
cnf(refute_0_880,plain,
multiply(inverse(greatest_lower_bound(inverse(X_57),X_90)),greatest_lower_bound(identity,multiply(X_90,X_57))) = X_57,
inference(resolve,[$cnf( $equal(X_57,multiply(inverse(greatest_lower_bound(inverse(X_57),X_90)),greatest_lower_bound(identity,multiply(X_90,X_57)))) )],[refute_0_683,refute_0_879]) ).
cnf(refute_0_881,plain,
( multiply(greatest_lower_bound(identity,multiply(inverse(greatest_lower_bound(inverse(X_57),X_90)),greatest_lower_bound(identity,multiply(X_90,X_57)))),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))) != greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_57),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_57))))
| multiply(inverse(greatest_lower_bound(inverse(X_57),X_90)),greatest_lower_bound(identity,multiply(X_90,X_57))) != X_57
| multiply(greatest_lower_bound(identity,X_57),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))) = greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_57),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,multiply(inverse(greatest_lower_bound(inverse(X_57),X_90)),greatest_lower_bound(identity,multiply(X_90,X_57)))),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))),greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_57),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_57))))) ),[0,0,1],$fot(X_57)]]) ).
cnf(refute_0_882,plain,
( multiply(greatest_lower_bound(identity,multiply(inverse(greatest_lower_bound(inverse(X_57),X_90)),greatest_lower_bound(identity,multiply(X_90,X_57)))),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))) != greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_57),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_57))))
| multiply(greatest_lower_bound(identity,X_57),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))) = greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_57),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(inverse(X_57),X_90)),greatest_lower_bound(identity,multiply(X_90,X_57))),X_57) )],[refute_0_880,refute_0_881]) ).
cnf(refute_0_883,plain,
multiply(greatest_lower_bound(identity,X_57),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))) = greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_57),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,multiply(inverse(greatest_lower_bound(inverse(X_57),X_90)),greatest_lower_bound(identity,multiply(X_90,X_57)))),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))),greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_57),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_57))))) )],[refute_0_878,refute_0_882]) ).
cnf(refute_0_884,plain,
( multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))) != greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59))))
| greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))) = multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))))),bind(Y0,$fot(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59))))))]]) ).
cnf(refute_0_885,plain,
greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))) = multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))),greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59))))) )],[refute_0_877,refute_0_884]) ).
cnf(refute_0_886,plain,
greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_57),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))) = multiply(greatest_lower_bound(identity,inverse(X_57)),inverse(greatest_lower_bound(inverse(X_57),X_90))),
inference(subst,[],[refute_0_885:[bind(X_59,$fot(X_57))]]) ).
cnf(refute_0_887,plain,
( multiply(greatest_lower_bound(identity,X_57),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))) != greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_57),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_57))))
| greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_57),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))) != multiply(greatest_lower_bound(identity,inverse(X_57)),inverse(greatest_lower_bound(inverse(X_57),X_90)))
| multiply(greatest_lower_bound(identity,X_57),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))) = multiply(greatest_lower_bound(identity,inverse(X_57)),inverse(greatest_lower_bound(inverse(X_57),X_90))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(greatest_lower_bound(identity,X_57),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))),multiply(greatest_lower_bound(identity,inverse(X_57)),inverse(greatest_lower_bound(inverse(X_57),X_90)))) ),[0],$fot(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_57),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))))]]) ).
cnf(refute_0_888,plain,
( multiply(greatest_lower_bound(identity,X_57),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))) != greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_57),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_57))))
| multiply(greatest_lower_bound(identity,X_57),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))) = multiply(greatest_lower_bound(identity,inverse(X_57)),inverse(greatest_lower_bound(inverse(X_57),X_90))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_57),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))),multiply(greatest_lower_bound(identity,inverse(X_57)),inverse(greatest_lower_bound(inverse(X_57),X_90)))) )],[refute_0_886,refute_0_887]) ).
cnf(refute_0_889,plain,
multiply(greatest_lower_bound(identity,X_57),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))) = multiply(greatest_lower_bound(identity,inverse(X_57)),inverse(greatest_lower_bound(inverse(X_57),X_90))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_57),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))),greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_57),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_57))))) )],[refute_0_883,refute_0_888]) ).
cnf(refute_0_890,plain,
( multiply(greatest_lower_bound(identity,X_57),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))) != multiply(greatest_lower_bound(identity,inverse(X_57)),inverse(greatest_lower_bound(inverse(X_57),X_90)))
| multiply(greatest_lower_bound(identity,inverse(X_57)),inverse(greatest_lower_bound(inverse(X_57),X_90))) = multiply(greatest_lower_bound(identity,X_57),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(identity,X_57),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))))),bind(Y0,$fot(multiply(greatest_lower_bound(identity,inverse(X_57)),inverse(greatest_lower_bound(inverse(X_57),X_90)))))]]) ).
cnf(refute_0_891,plain,
multiply(greatest_lower_bound(identity,inverse(X_57)),inverse(greatest_lower_bound(inverse(X_57),X_90))) = multiply(greatest_lower_bound(identity,X_57),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_57),inverse(greatest_lower_bound(identity,multiply(X_90,X_57)))),multiply(greatest_lower_bound(identity,inverse(X_57)),inverse(greatest_lower_bound(inverse(X_57),X_90)))) )],[refute_0_889,refute_0_890]) ).
cnf(refute_0_892,plain,
multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))) = multiply(greatest_lower_bound(identity,X_59),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))),
inference(subst,[],[refute_0_891:[bind(X_57,$fot(X_59))]]) ).
cnf(refute_0_893,plain,
( multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))) != multiply(greatest_lower_bound(identity,X_59),inverse(greatest_lower_bound(identity,multiply(X_90,X_59))))
| multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))) != greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59))))
| multiply(greatest_lower_bound(identity,X_59),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))) = greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))),greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59))))) ),[0],$fot(multiply(greatest_lower_bound(identity,X_59),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))))]]) ).
cnf(refute_0_894,plain,
( multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))) != greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59))))
| multiply(greatest_lower_bound(identity,X_59),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))) = greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))),multiply(greatest_lower_bound(identity,X_59),inverse(greatest_lower_bound(identity,multiply(X_90,X_59))))) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
multiply(greatest_lower_bound(identity,X_59),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))) = greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(X_59)),inverse(greatest_lower_bound(inverse(X_59),X_90))),greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59))))) )],[refute_0_877,refute_0_894]) ).
cnf(refute_0_896,plain,
( multiply(greatest_lower_bound(identity,X_59),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))) != greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59))))
| greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))) = multiply(greatest_lower_bound(identity,X_59),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(identity,X_59),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))))),bind(Y0,$fot(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59))))))]]) ).
cnf(refute_0_897,plain,
greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))) = multiply(greatest_lower_bound(identity,X_59),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_59),inverse(greatest_lower_bound(identity,multiply(X_90,X_59)))),greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_59),X_90)),inverse(greatest_lower_bound(identity,multiply(X_90,X_59))))) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282)))) = multiply(greatest_lower_bound(identity,X_282),inverse(greatest_lower_bound(identity,multiply(X_283,X_282)))),
inference(subst,[],[refute_0_897:[bind(X_59,$fot(X_282)),bind(X_90,$fot(X_283))]]) ).
cnf(refute_0_899,plain,
inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))) = inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),
introduced(tautology,[refl,[$fot(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))))]]) ).
cnf(refute_0_900,plain,
( greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282)))) != multiply(greatest_lower_bound(identity,X_282),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))
| inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))) != inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282)))))
| inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))) = inverse(multiply(greatest_lower_bound(identity,X_282),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282)))))) ),[1,0],$fot(multiply(greatest_lower_bound(identity,X_282),inverse(greatest_lower_bound(identity,multiply(X_283,X_282)))))]]) ).
cnf(refute_0_901,plain,
( greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282)))) != multiply(greatest_lower_bound(identity,X_282),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))
| inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))) = inverse(multiply(greatest_lower_bound(identity,X_282),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282)))))) )],[refute_0_899,refute_0_900]) ).
cnf(refute_0_902,plain,
inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))) = inverse(multiply(greatest_lower_bound(identity,X_282),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282)))),multiply(greatest_lower_bound(identity,X_282),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))) )],[refute_0_898,refute_0_901]) ).
cnf(refute_0_903,plain,
( inverse(multiply(greatest_lower_bound(identity,X_282),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))) != multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282)))
| inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))) != inverse(multiply(greatest_lower_bound(identity,X_282),inverse(greatest_lower_bound(identity,multiply(X_283,X_282)))))
| inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))) = multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))))),bind(Y0,$fot(inverse(multiply(greatest_lower_bound(identity,X_282),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))))),bind(Z0,$fot(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282)))))]]) ).
cnf(refute_0_904,plain,
( inverse(multiply(greatest_lower_bound(identity,X_282),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))) != multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282)))
| inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))) = multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),inverse(multiply(greatest_lower_bound(identity,X_282),inverse(greatest_lower_bound(identity,multiply(X_283,X_282)))))) )],[refute_0_902,refute_0_903]) ).
cnf(refute_0_905,plain,
inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))) = multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))),
inference(resolve,[$cnf( $equal(inverse(multiply(greatest_lower_bound(identity,X_282),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282)))) )],[refute_0_743,refute_0_904]) ).
cnf(refute_0_906,plain,
multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282))) = multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282))),
introduced(tautology,[refl,[$fot(multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282))))]]) ).
cnf(refute_0_907,plain,
( multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282))) != multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282)))
| inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))) != multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282)))
| multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282))) = multiply(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))),greatest_lower_bound(identity,inverse(X_282))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282))),multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282)))) ),[1,0],$fot(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))))]]) ).
cnf(refute_0_908,plain,
( inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))) != multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282)))
| multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282))) = multiply(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))),greatest_lower_bound(identity,inverse(X_282))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282))),multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282)))) )],[refute_0_906,refute_0_907]) ).
cnf(refute_0_909,plain,
multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282))) = multiply(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))),greatest_lower_bound(identity,inverse(X_282))),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282)))) )],[refute_0_905,refute_0_908]) ).
cnf(refute_0_910,plain,
( multiply(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))),greatest_lower_bound(identity,inverse(X_282))) != greatest_lower_bound(X_283,inverse(X_282))
| multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282))) != multiply(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))),greatest_lower_bound(identity,inverse(X_282)))
| multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282))) = greatest_lower_bound(X_283,inverse(X_282)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282))))),bind(Y0,$fot(multiply(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))),greatest_lower_bound(identity,inverse(X_282))))),bind(Z0,$fot(greatest_lower_bound(X_283,inverse(X_282))))]]) ).
cnf(refute_0_911,plain,
( multiply(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))),greatest_lower_bound(identity,inverse(X_282))) != greatest_lower_bound(X_283,inverse(X_282))
| multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282))) = greatest_lower_bound(X_283,inverse(X_282)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282))),multiply(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))),greatest_lower_bound(identity,inverse(X_282)))) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282))) = greatest_lower_bound(X_283,inverse(X_282)),
inference(resolve,[$cnf( $equal(multiply(multiply(greatest_lower_bound(identity,multiply(X_283,X_282)),inverse(greatest_lower_bound(identity,X_282))),greatest_lower_bound(identity,inverse(X_282))),greatest_lower_bound(X_283,inverse(X_282))) )],[refute_0_742,refute_0_911]) ).
cnf(refute_0_913,plain,
( multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282))) != greatest_lower_bound(X_283,inverse(X_282))
| greatest_lower_bound(inverse(X_282),X_283) != multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282)))
| greatest_lower_bound(inverse(X_282),X_283) = greatest_lower_bound(X_283,inverse(X_282)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(inverse(X_282),X_283),multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282)))) ),[1],$fot(greatest_lower_bound(X_283,inverse(X_282)))]]) ).
cnf(refute_0_914,plain,
( greatest_lower_bound(inverse(X_282),X_283) != multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282)))
| greatest_lower_bound(inverse(X_282),X_283) = greatest_lower_bound(X_283,inverse(X_282)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282))),greatest_lower_bound(X_283,inverse(X_282))) )],[refute_0_912,refute_0_913]) ).
cnf(refute_0_915,plain,
greatest_lower_bound(inverse(X_282),X_283) = greatest_lower_bound(X_283,inverse(X_282)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(X_282),X_283),multiply(inverse(greatest_lower_bound(inverse(greatest_lower_bound(inverse(X_282),X_283)),inverse(greatest_lower_bound(identity,multiply(X_283,X_282))))),greatest_lower_bound(identity,inverse(X_282)))) )],[refute_0_695,refute_0_914]) ).
cnf(refute_0_916,plain,
( greatest_lower_bound(inverse(X_282),X_283) != greatest_lower_bound(X_283,inverse(X_282))
| greatest_lower_bound(X_283,inverse(X_282)) = greatest_lower_bound(inverse(X_282),X_283) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(inverse(X_282),X_283))),bind(Y0,$fot(greatest_lower_bound(X_283,inverse(X_282))))]]) ).
cnf(refute_0_917,plain,
greatest_lower_bound(X_283,inverse(X_282)) = greatest_lower_bound(inverse(X_282),X_283),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(X_282),X_283),greatest_lower_bound(X_283,inverse(X_282))) )],[refute_0_915,refute_0_916]) ).
cnf(refute_0_918,plain,
greatest_lower_bound(inverse(least_upper_bound(identity,inverse(X_369))),inverse(least_upper_bound(X_369,identity))) = greatest_lower_bound(inverse(least_upper_bound(X_369,identity)),inverse(least_upper_bound(identity,inverse(X_369)))),
inference(subst,[],[refute_0_917:[bind(X_282,$fot(least_upper_bound(X_369,identity))),bind(X_283,$fot(inverse(least_upper_bound(identity,inverse(X_369)))))]]) ).
cnf(refute_0_919,plain,
( multiply(greatest_lower_bound(identity,X_369),inverse(least_upper_bound(X_369,identity))) != greatest_lower_bound(inverse(least_upper_bound(identity,inverse(X_369))),inverse(least_upper_bound(X_369,identity)))
| greatest_lower_bound(inverse(least_upper_bound(identity,inverse(X_369))),inverse(least_upper_bound(X_369,identity))) != greatest_lower_bound(inverse(least_upper_bound(X_369,identity)),inverse(least_upper_bound(identity,inverse(X_369))))
| multiply(greatest_lower_bound(identity,X_369),inverse(least_upper_bound(X_369,identity))) = greatest_lower_bound(inverse(least_upper_bound(X_369,identity)),inverse(least_upper_bound(identity,inverse(X_369)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(greatest_lower_bound(identity,X_369),inverse(least_upper_bound(X_369,identity))),greatest_lower_bound(inverse(least_upper_bound(X_369,identity)),inverse(least_upper_bound(identity,inverse(X_369))))) ),[0],$fot(greatest_lower_bound(inverse(least_upper_bound(identity,inverse(X_369))),inverse(least_upper_bound(X_369,identity))))]]) ).
cnf(refute_0_920,plain,
( multiply(greatest_lower_bound(identity,X_369),inverse(least_upper_bound(X_369,identity))) != greatest_lower_bound(inverse(least_upper_bound(identity,inverse(X_369))),inverse(least_upper_bound(X_369,identity)))
| multiply(greatest_lower_bound(identity,X_369),inverse(least_upper_bound(X_369,identity))) = greatest_lower_bound(inverse(least_upper_bound(X_369,identity)),inverse(least_upper_bound(identity,inverse(X_369)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(identity,inverse(X_369))),inverse(least_upper_bound(X_369,identity))),greatest_lower_bound(inverse(least_upper_bound(X_369,identity)),inverse(least_upper_bound(identity,inverse(X_369))))) )],[refute_0_918,refute_0_919]) ).
cnf(refute_0_921,plain,
multiply(greatest_lower_bound(identity,X_369),inverse(least_upper_bound(X_369,identity))) = greatest_lower_bound(inverse(least_upper_bound(X_369,identity)),inverse(least_upper_bound(identity,inverse(X_369)))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_369),inverse(least_upper_bound(X_369,identity))),greatest_lower_bound(inverse(least_upper_bound(identity,inverse(X_369))),inverse(least_upper_bound(X_369,identity)))) )],[refute_0_673,refute_0_920]) ).
cnf(refute_0_922,plain,
( multiply(greatest_lower_bound(identity,X_369),inverse(least_upper_bound(X_369,identity))) != greatest_lower_bound(inverse(least_upper_bound(X_369,identity)),inverse(least_upper_bound(identity,inverse(X_369))))
| greatest_lower_bound(inverse(least_upper_bound(X_369,identity)),inverse(least_upper_bound(identity,inverse(X_369)))) = multiply(greatest_lower_bound(identity,X_369),inverse(least_upper_bound(X_369,identity))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(identity,X_369),inverse(least_upper_bound(X_369,identity))))),bind(Y0,$fot(greatest_lower_bound(inverse(least_upper_bound(X_369,identity)),inverse(least_upper_bound(identity,inverse(X_369))))))]]) ).
cnf(refute_0_923,plain,
greatest_lower_bound(inverse(least_upper_bound(X_369,identity)),inverse(least_upper_bound(identity,inverse(X_369)))) = multiply(greatest_lower_bound(identity,X_369),inverse(least_upper_bound(X_369,identity))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_369),inverse(least_upper_bound(X_369,identity))),greatest_lower_bound(inverse(least_upper_bound(X_369,identity)),inverse(least_upper_bound(identity,inverse(X_369))))) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))) = multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity))),
inference(subst,[],[refute_0_923:[bind(X_369,$fot(X_344))]]) ).
cnf(refute_0_925,plain,
multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344))) = multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344))),
introduced(tautology,[refl,[$fot(multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344))))]]) ).
cnf(refute_0_926,plain,
( multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344))) != multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344)))
| greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))) != multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity)))
| multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344))) = multiply(multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity))),inverse(greatest_lower_bound(identity,X_344))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344))),multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344)))) ),[1,0],$fot(multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity))))]]) ).
cnf(refute_0_927,plain,
( greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))) != multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity)))
| multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344))) = multiply(multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity))),inverse(greatest_lower_bound(identity,X_344))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344))),multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344)))) )],[refute_0_925,refute_0_926]) ).
cnf(refute_0_928,plain,
multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344))) = multiply(multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity))),inverse(greatest_lower_bound(identity,X_344))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity)))) )],[refute_0_924,refute_0_927]) ).
cnf(refute_0_929,plain,
( multiply(multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity))),inverse(greatest_lower_bound(identity,X_344))) != multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))))
| multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344))) != multiply(multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity))),inverse(greatest_lower_bound(identity,X_344)))
| multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344))) = multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344))))),bind(Y0,$fot(multiply(multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity))),inverse(greatest_lower_bound(identity,X_344))))),bind(Z0,$fot(multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))))))]]) ).
cnf(refute_0_930,plain,
( multiply(multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity))),inverse(greatest_lower_bound(identity,X_344))) != multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))))
| multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344))) = multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344))),multiply(multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity))),inverse(greatest_lower_bound(identity,X_344)))) )],[refute_0_928,refute_0_929]) ).
cnf(refute_0_931,plain,
multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344))) = multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))),
inference(resolve,[$cnf( $equal(multiply(multiply(greatest_lower_bound(identity,X_344),inverse(least_upper_bound(X_344,identity))),inverse(greatest_lower_bound(identity,X_344))),multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))))) )],[refute_0_534,refute_0_930]) ).
cnf(refute_0_932,plain,
( multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344))) != multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))))
| inverse(least_upper_bound(X_344,identity)) != multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344)))
| inverse(least_upper_bound(X_344,identity)) = multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(least_upper_bound(X_344,identity)),multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344)))) ),[1],$fot(multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))))]]) ).
cnf(refute_0_933,plain,
( inverse(least_upper_bound(X_344,identity)) != multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344)))
| inverse(least_upper_bound(X_344,identity)) = multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344))),multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))))) )],[refute_0_931,refute_0_932]) ).
cnf(refute_0_934,plain,
inverse(least_upper_bound(X_344,identity)) = multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(X_344,identity)),multiply(greatest_lower_bound(inverse(least_upper_bound(X_344,identity)),inverse(least_upper_bound(identity,inverse(X_344)))),inverse(greatest_lower_bound(identity,X_344)))) )],[refute_0_525,refute_0_933]) ).
cnf(refute_0_935,plain,
greatest_lower_bound(identity,X_93) = greatest_lower_bound(X_93,identity),
inference(subst,[],[symmetry_of_glb:[bind(X,$fot(identity)),bind(Y,$fot(X_93))]]) ).
cnf(refute_0_936,plain,
( greatest_lower_bound(identity,X_93) != greatest_lower_bound(X_93,identity)
| greatest_lower_bound(X_93,identity) = greatest_lower_bound(identity,X_93) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(identity,X_93))),bind(Y0,$fot(greatest_lower_bound(X_93,identity)))]]) ).
cnf(refute_0_937,plain,
greatest_lower_bound(X_93,identity) = greatest_lower_bound(identity,X_93),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,X_93),greatest_lower_bound(X_93,identity)) )],[refute_0_935,refute_0_936]) ).
cnf(refute_0_938,plain,
( multiply(greatest_lower_bound(X_93,identity),inverse(X_93)) != greatest_lower_bound(identity,inverse(X_93))
| greatest_lower_bound(X_93,identity) != greatest_lower_bound(identity,X_93)
| multiply(greatest_lower_bound(identity,X_93),inverse(X_93)) = greatest_lower_bound(identity,inverse(X_93)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(X_93,identity),inverse(X_93)),greatest_lower_bound(identity,inverse(X_93))) ),[0,0],$fot(greatest_lower_bound(identity,X_93))]]) ).
cnf(refute_0_939,plain,
( multiply(greatest_lower_bound(X_93,identity),inverse(X_93)) != greatest_lower_bound(identity,inverse(X_93))
| multiply(greatest_lower_bound(identity,X_93),inverse(X_93)) = greatest_lower_bound(identity,inverse(X_93)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_93,identity),greatest_lower_bound(identity,X_93)) )],[refute_0_937,refute_0_938]) ).
cnf(refute_0_940,plain,
multiply(greatest_lower_bound(identity,X_93),inverse(X_93)) = greatest_lower_bound(identity,inverse(X_93)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_93,identity),inverse(X_93)),greatest_lower_bound(identity,inverse(X_93))) )],[refute_0_703,refute_0_939]) ).
cnf(refute_0_941,plain,
multiply(greatest_lower_bound(identity,X_344),inverse(X_344)) = greatest_lower_bound(identity,inverse(X_344)),
inference(subst,[],[refute_0_940:[bind(X_93,$fot(X_344))]]) ).
cnf(refute_0_942,plain,
inverse(inverse(greatest_lower_bound(identity,X_150))) = greatest_lower_bound(identity,X_150),
inference(subst,[],[p20_2:[bind(X,$fot(greatest_lower_bound(identity,X_150)))]]) ).
cnf(refute_0_943,plain,
inverse(X_148) = multiply(inverse(least_upper_bound(X_148,X_149)),multiply(least_upper_bound(X_148,X_149),inverse(X_148))),
inference(subst,[],[refute_0_92:[bind(X_56,$fot(least_upper_bound(X_148,X_149))),bind(X_57,$fot(inverse(X_148)))]]) ).
cnf(refute_0_944,plain,
multiply(least_upper_bound(X_139,X_140),inverse(X_139)) = least_upper_bound(multiply(X_139,inverse(X_139)),multiply(X_140,inverse(X_139))),
inference(subst,[],[monotony_lub2:[bind(X,$fot(inverse(X_139))),bind(Y,$fot(X_139)),bind(Z,$fot(X_140))]]) ).
cnf(refute_0_945,plain,
multiply(X_139,inverse(X_139)) = identity,
inference(subst,[],[refute_0_127:[bind(X_1,$fot(X_139))]]) ).
cnf(refute_0_946,plain,
( multiply(X_139,inverse(X_139)) != identity
| multiply(least_upper_bound(X_139,X_140),inverse(X_139)) != least_upper_bound(multiply(X_139,inverse(X_139)),multiply(X_140,inverse(X_139)))
| multiply(least_upper_bound(X_139,X_140),inverse(X_139)) = least_upper_bound(identity,multiply(X_140,inverse(X_139))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_139,X_140),inverse(X_139)),least_upper_bound(multiply(X_139,inverse(X_139)),multiply(X_140,inverse(X_139)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_947,plain,
( multiply(least_upper_bound(X_139,X_140),inverse(X_139)) != least_upper_bound(multiply(X_139,inverse(X_139)),multiply(X_140,inverse(X_139)))
| multiply(least_upper_bound(X_139,X_140),inverse(X_139)) = least_upper_bound(identity,multiply(X_140,inverse(X_139))) ),
inference(resolve,[$cnf( $equal(multiply(X_139,inverse(X_139)),identity) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
multiply(least_upper_bound(X_139,X_140),inverse(X_139)) = least_upper_bound(identity,multiply(X_140,inverse(X_139))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,X_140),inverse(X_139)),least_upper_bound(multiply(X_139,inverse(X_139)),multiply(X_140,inverse(X_139)))) )],[refute_0_944,refute_0_947]) ).
cnf(refute_0_949,plain,
multiply(least_upper_bound(X_148,X_149),inverse(X_148)) = least_upper_bound(identity,multiply(X_149,inverse(X_148))),
inference(subst,[],[refute_0_948:[bind(X_139,$fot(X_148)),bind(X_140,$fot(X_149))]]) ).
cnf(refute_0_950,plain,
( multiply(least_upper_bound(X_148,X_149),inverse(X_148)) != least_upper_bound(identity,multiply(X_149,inverse(X_148)))
| inverse(X_148) != multiply(inverse(least_upper_bound(X_148,X_149)),multiply(least_upper_bound(X_148,X_149),inverse(X_148)))
| inverse(X_148) = multiply(inverse(least_upper_bound(X_148,X_149)),least_upper_bound(identity,multiply(X_149,inverse(X_148)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_148),multiply(inverse(least_upper_bound(X_148,X_149)),multiply(least_upper_bound(X_148,X_149),inverse(X_148)))) ),[1,1],$fot(least_upper_bound(identity,multiply(X_149,inverse(X_148))))]]) ).
cnf(refute_0_951,plain,
( inverse(X_148) != multiply(inverse(least_upper_bound(X_148,X_149)),multiply(least_upper_bound(X_148,X_149),inverse(X_148)))
| inverse(X_148) = multiply(inverse(least_upper_bound(X_148,X_149)),least_upper_bound(identity,multiply(X_149,inverse(X_148)))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_148,X_149),inverse(X_148)),least_upper_bound(identity,multiply(X_149,inverse(X_148)))) )],[refute_0_949,refute_0_950]) ).
cnf(refute_0_952,plain,
inverse(X_148) = multiply(inverse(least_upper_bound(X_148,X_149)),least_upper_bound(identity,multiply(X_149,inverse(X_148)))),
inference(resolve,[$cnf( $equal(inverse(X_148),multiply(inverse(least_upper_bound(X_148,X_149)),multiply(least_upper_bound(X_148,X_149),inverse(X_148)))) )],[refute_0_943,refute_0_951]) ).
cnf(refute_0_953,plain,
inverse(greatest_lower_bound(identity,X)) = multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,multiply(greatest_lower_bound(identity,inverse(X)),inverse(greatest_lower_bound(identity,X))))),
inference(subst,[],[refute_0_952:[bind(X_148,$fot(greatest_lower_bound(identity,X))),bind(X_149,$fot(greatest_lower_bound(identity,inverse(X))))]]) ).
cnf(refute_0_954,plain,
inverse(inverse(X_75)) = multiply(greatest_lower_bound(X_75,identity),inverse(multiply(inverse(X_75),greatest_lower_bound(X_75,identity)))),
inference(subst,[],[refute_0_386:[bind(X,$fot(inverse(X_75))),bind(Y,$fot(greatest_lower_bound(X_75,identity)))]]) ).
cnf(refute_0_955,plain,
( multiply(inverse(X_75),greatest_lower_bound(X_75,identity)) != greatest_lower_bound(identity,inverse(X_75))
| inverse(inverse(X_75)) != multiply(greatest_lower_bound(X_75,identity),inverse(multiply(inverse(X_75),greatest_lower_bound(X_75,identity))))
| inverse(inverse(X_75)) = multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_75)),multiply(greatest_lower_bound(X_75,identity),inverse(multiply(inverse(X_75),greatest_lower_bound(X_75,identity))))) ),[1,1,0],$fot(greatest_lower_bound(identity,inverse(X_75)))]]) ).
cnf(refute_0_956,plain,
( inverse(inverse(X_75)) != multiply(greatest_lower_bound(X_75,identity),inverse(multiply(inverse(X_75),greatest_lower_bound(X_75,identity))))
| inverse(inverse(X_75)) = multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_75),greatest_lower_bound(X_75,identity)),greatest_lower_bound(identity,inverse(X_75))) )],[refute_0_49,refute_0_955]) ).
cnf(refute_0_957,plain,
inverse(inverse(X_75)) = multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75)))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_75)),multiply(greatest_lower_bound(X_75,identity),inverse(multiply(inverse(X_75),greatest_lower_bound(X_75,identity))))) )],[refute_0_954,refute_0_956]) ).
cnf(refute_0_958,plain,
inverse(inverse(X_75)) = X_75,
inference(subst,[],[p20_2:[bind(X,$fot(X_75))]]) ).
cnf(refute_0_959,plain,
( inverse(inverse(X_75)) != X_75
| inverse(inverse(X_75)) != multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75))))
| X_75 = multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_75)),multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75))))) ),[0],$fot(X_75)]]) ).
cnf(refute_0_960,plain,
( inverse(inverse(X_75)) != multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75))))
| X_75 = multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_75)),X_75) )],[refute_0_958,refute_0_959]) ).
cnf(refute_0_961,plain,
X_75 = multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75)))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_75)),multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75))))) )],[refute_0_957,refute_0_960]) ).
cnf(refute_0_962,plain,
inverse(X) = multiply(greatest_lower_bound(inverse(X),identity),inverse(greatest_lower_bound(identity,inverse(inverse(X))))),
inference(subst,[],[refute_0_961:[bind(X_75,$fot(inverse(X)))]]) ).
cnf(refute_0_963,plain,
( inverse(X) != multiply(greatest_lower_bound(inverse(X),identity),inverse(greatest_lower_bound(identity,inverse(inverse(X)))))
| inverse(inverse(X)) != X
| inverse(X) = multiply(greatest_lower_bound(inverse(X),identity),inverse(greatest_lower_bound(identity,X))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),multiply(greatest_lower_bound(inverse(X),identity),inverse(greatest_lower_bound(identity,inverse(inverse(X)))))) ),[1,1,0,1],$fot(X)]]) ).
cnf(refute_0_964,plain,
( inverse(X) != multiply(greatest_lower_bound(inverse(X),identity),inverse(greatest_lower_bound(identity,inverse(inverse(X)))))
| inverse(X) = multiply(greatest_lower_bound(inverse(X),identity),inverse(greatest_lower_bound(identity,X))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X)),X) )],[p20_2,refute_0_963]) ).
cnf(refute_0_965,plain,
inverse(X) = multiply(greatest_lower_bound(inverse(X),identity),inverse(greatest_lower_bound(identity,X))),
inference(resolve,[$cnf( $equal(inverse(X),multiply(greatest_lower_bound(inverse(X),identity),inverse(greatest_lower_bound(identity,inverse(inverse(X)))))) )],[refute_0_962,refute_0_964]) ).
cnf(refute_0_966,plain,
inverse(multiply(X_22,inverse(greatest_lower_bound(X_76,X_77)))) = multiply(greatest_lower_bound(X_76,X_77),inverse(X_22)),
inference(subst,[],[refute_0_378:[bind(X,$fot(greatest_lower_bound(X_76,X_77)))]]) ).
cnf(refute_0_967,plain,
( inverse(multiply(X_22,inverse(greatest_lower_bound(X_76,X_77)))) != multiply(greatest_lower_bound(X_76,X_77),inverse(X_22))
| inverse(greatest_lower_bound(X_76,X_77)) != inverse(greatest_lower_bound(X_77,X_76))
| inverse(multiply(X_22,inverse(greatest_lower_bound(X_77,X_76)))) = multiply(greatest_lower_bound(X_76,X_77),inverse(X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_22,inverse(greatest_lower_bound(X_76,X_77)))),multiply(greatest_lower_bound(X_76,X_77),inverse(X_22))) ),[0,0,1],$fot(inverse(greatest_lower_bound(X_77,X_76)))]]) ).
cnf(refute_0_968,plain,
( inverse(multiply(X_22,inverse(greatest_lower_bound(X_76,X_77)))) != multiply(greatest_lower_bound(X_76,X_77),inverse(X_22))
| inverse(multiply(X_22,inverse(greatest_lower_bound(X_77,X_76)))) = multiply(greatest_lower_bound(X_76,X_77),inverse(X_22)) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76))) )],[refute_0_149,refute_0_967]) ).
cnf(refute_0_969,plain,
inverse(multiply(X_22,inverse(greatest_lower_bound(X_77,X_76)))) = multiply(greatest_lower_bound(X_76,X_77),inverse(X_22)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_22,inverse(greatest_lower_bound(X_76,X_77)))),multiply(greatest_lower_bound(X_76,X_77),inverse(X_22))) )],[refute_0_966,refute_0_968]) ).
cnf(refute_0_970,plain,
inverse(multiply(X_22,inverse(greatest_lower_bound(X_77,X_76)))) = multiply(greatest_lower_bound(X_77,X_76),inverse(X_22)),
inference(subst,[],[refute_0_378:[bind(X,$fot(greatest_lower_bound(X_77,X_76)))]]) ).
cnf(refute_0_971,plain,
( inverse(multiply(X_22,inverse(greatest_lower_bound(X_77,X_76)))) != multiply(greatest_lower_bound(X_76,X_77),inverse(X_22))
| inverse(multiply(X_22,inverse(greatest_lower_bound(X_77,X_76)))) != multiply(greatest_lower_bound(X_77,X_76),inverse(X_22))
| multiply(greatest_lower_bound(X_77,X_76),inverse(X_22)) = multiply(greatest_lower_bound(X_76,X_77),inverse(X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_22,inverse(greatest_lower_bound(X_77,X_76)))),multiply(greatest_lower_bound(X_76,X_77),inverse(X_22))) ),[0],$fot(multiply(greatest_lower_bound(X_77,X_76),inverse(X_22)))]]) ).
cnf(refute_0_972,plain,
( inverse(multiply(X_22,inverse(greatest_lower_bound(X_77,X_76)))) != multiply(greatest_lower_bound(X_76,X_77),inverse(X_22))
| multiply(greatest_lower_bound(X_77,X_76),inverse(X_22)) = multiply(greatest_lower_bound(X_76,X_77),inverse(X_22)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_22,inverse(greatest_lower_bound(X_77,X_76)))),multiply(greatest_lower_bound(X_77,X_76),inverse(X_22))) )],[refute_0_970,refute_0_971]) ).
cnf(refute_0_973,plain,
multiply(greatest_lower_bound(X_77,X_76),inverse(X_22)) = multiply(greatest_lower_bound(X_76,X_77),inverse(X_22)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_22,inverse(greatest_lower_bound(X_77,X_76)))),multiply(greatest_lower_bound(X_76,X_77),inverse(X_22))) )],[refute_0_969,refute_0_972]) ).
cnf(refute_0_974,plain,
( multiply(greatest_lower_bound(X_77,X_76),inverse(X_22)) != multiply(greatest_lower_bound(X_76,X_77),inverse(X_22))
| multiply(greatest_lower_bound(X_76,X_77),inverse(X_22)) = multiply(greatest_lower_bound(X_77,X_76),inverse(X_22)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(X_77,X_76),inverse(X_22)))),bind(Y0,$fot(multiply(greatest_lower_bound(X_76,X_77),inverse(X_22))))]]) ).
cnf(refute_0_975,plain,
multiply(greatest_lower_bound(X_76,X_77),inverse(X_22)) = multiply(greatest_lower_bound(X_77,X_76),inverse(X_22)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_77,X_76),inverse(X_22)),multiply(greatest_lower_bound(X_76,X_77),inverse(X_22))) )],[refute_0_973,refute_0_974]) ).
cnf(refute_0_976,plain,
multiply(greatest_lower_bound(inverse(X),identity),inverse(greatest_lower_bound(identity,X))) = multiply(greatest_lower_bound(identity,inverse(X)),inverse(greatest_lower_bound(identity,X))),
inference(subst,[],[refute_0_975:[bind(X_22,$fot(greatest_lower_bound(identity,X))),bind(X_76,$fot(inverse(X))),bind(X_77,$fot(identity))]]) ).
cnf(refute_0_977,plain,
( multiply(greatest_lower_bound(inverse(X),identity),inverse(greatest_lower_bound(identity,X))) != multiply(greatest_lower_bound(identity,inverse(X)),inverse(greatest_lower_bound(identity,X)))
| inverse(X) != multiply(greatest_lower_bound(inverse(X),identity),inverse(greatest_lower_bound(identity,X)))
| inverse(X) = multiply(greatest_lower_bound(identity,inverse(X)),inverse(greatest_lower_bound(identity,X))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),multiply(greatest_lower_bound(inverse(X),identity),inverse(greatest_lower_bound(identity,X)))) ),[1],$fot(multiply(greatest_lower_bound(identity,inverse(X)),inverse(greatest_lower_bound(identity,X))))]]) ).
cnf(refute_0_978,plain,
( inverse(X) != multiply(greatest_lower_bound(inverse(X),identity),inverse(greatest_lower_bound(identity,X)))
| inverse(X) = multiply(greatest_lower_bound(identity,inverse(X)),inverse(greatest_lower_bound(identity,X))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(inverse(X),identity),inverse(greatest_lower_bound(identity,X))),multiply(greatest_lower_bound(identity,inverse(X)),inverse(greatest_lower_bound(identity,X)))) )],[refute_0_976,refute_0_977]) ).
cnf(refute_0_979,plain,
inverse(X) = multiply(greatest_lower_bound(identity,inverse(X)),inverse(greatest_lower_bound(identity,X))),
inference(resolve,[$cnf( $equal(inverse(X),multiply(greatest_lower_bound(inverse(X),identity),inverse(greatest_lower_bound(identity,X)))) )],[refute_0_965,refute_0_978]) ).
cnf(refute_0_980,plain,
( inverse(X) != multiply(greatest_lower_bound(identity,inverse(X)),inverse(greatest_lower_bound(identity,X)))
| multiply(greatest_lower_bound(identity,inverse(X)),inverse(greatest_lower_bound(identity,X))) = inverse(X) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(X))),bind(Y0,$fot(multiply(greatest_lower_bound(identity,inverse(X)),inverse(greatest_lower_bound(identity,X)))))]]) ).
cnf(refute_0_981,plain,
multiply(greatest_lower_bound(identity,inverse(X)),inverse(greatest_lower_bound(identity,X))) = inverse(X),
inference(resolve,[$cnf( $equal(inverse(X),multiply(greatest_lower_bound(identity,inverse(X)),inverse(greatest_lower_bound(identity,X)))) )],[refute_0_979,refute_0_980]) ).
cnf(refute_0_982,plain,
( multiply(greatest_lower_bound(identity,inverse(X)),inverse(greatest_lower_bound(identity,X))) != inverse(X)
| inverse(greatest_lower_bound(identity,X)) != multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,multiply(greatest_lower_bound(identity,inverse(X)),inverse(greatest_lower_bound(identity,X)))))
| inverse(greatest_lower_bound(identity,X)) = multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(identity,X)),multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,multiply(greatest_lower_bound(identity,inverse(X)),inverse(greatest_lower_bound(identity,X)))))) ),[1,1,1],$fot(inverse(X))]]) ).
cnf(refute_0_983,plain,
( inverse(greatest_lower_bound(identity,X)) != multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,multiply(greatest_lower_bound(identity,inverse(X)),inverse(greatest_lower_bound(identity,X)))))
| inverse(greatest_lower_bound(identity,X)) = multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(X)),inverse(greatest_lower_bound(identity,X))),inverse(X)) )],[refute_0_981,refute_0_982]) ).
cnf(refute_0_984,plain,
inverse(greatest_lower_bound(identity,X)) = multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,X)),multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,multiply(greatest_lower_bound(identity,inverse(X)),inverse(greatest_lower_bound(identity,X)))))) )],[refute_0_953,refute_0_983]) ).
cnf(refute_0_985,plain,
multiply(least_upper_bound(X_139,identity),X_138) = least_upper_bound(multiply(X_139,X_138),multiply(identity,X_138)),
inference(subst,[],[monotony_lub2:[bind(X,$fot(X_138)),bind(Y,$fot(X_139)),bind(Z,$fot(identity))]]) ).
cnf(refute_0_986,plain,
multiply(identity,X_138) = X_138,
inference(subst,[],[left_identity:[bind(X,$fot(X_138))]]) ).
cnf(refute_0_987,plain,
( multiply(identity,X_138) != X_138
| multiply(least_upper_bound(X_139,identity),X_138) != least_upper_bound(multiply(X_139,X_138),multiply(identity,X_138))
| multiply(least_upper_bound(X_139,identity),X_138) = least_upper_bound(multiply(X_139,X_138),X_138) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_139,identity),X_138),least_upper_bound(multiply(X_139,X_138),multiply(identity,X_138))) ),[1,1],$fot(X_138)]]) ).
cnf(refute_0_988,plain,
( multiply(least_upper_bound(X_139,identity),X_138) != least_upper_bound(multiply(X_139,X_138),multiply(identity,X_138))
| multiply(least_upper_bound(X_139,identity),X_138) = least_upper_bound(multiply(X_139,X_138),X_138) ),
inference(resolve,[$cnf( $equal(multiply(identity,X_138),X_138) )],[refute_0_986,refute_0_987]) ).
cnf(refute_0_989,plain,
multiply(least_upper_bound(X_139,identity),X_138) = least_upper_bound(multiply(X_139,X_138),X_138),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,identity),X_138),least_upper_bound(multiply(X_139,X_138),multiply(identity,X_138))) )],[refute_0_985,refute_0_988]) ).
cnf(refute_0_990,plain,
least_upper_bound(multiply(X_139,X_138),X_138) = least_upper_bound(X_138,multiply(X_139,X_138)),
inference(subst,[],[refute_0_404:[bind(X,$fot(X_138)),bind(Y,$fot(multiply(X_139,X_138)))]]) ).
cnf(refute_0_991,plain,
( multiply(least_upper_bound(X_139,identity),X_138) != least_upper_bound(multiply(X_139,X_138),X_138)
| least_upper_bound(multiply(X_139,X_138),X_138) != least_upper_bound(X_138,multiply(X_139,X_138))
| multiply(least_upper_bound(X_139,identity),X_138) = least_upper_bound(X_138,multiply(X_139,X_138)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(least_upper_bound(X_139,identity),X_138),least_upper_bound(X_138,multiply(X_139,X_138))) ),[0],$fot(least_upper_bound(multiply(X_139,X_138),X_138))]]) ).
cnf(refute_0_992,plain,
( multiply(least_upper_bound(X_139,identity),X_138) != least_upper_bound(multiply(X_139,X_138),X_138)
| multiply(least_upper_bound(X_139,identity),X_138) = least_upper_bound(X_138,multiply(X_139,X_138)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_139,X_138),X_138),least_upper_bound(X_138,multiply(X_139,X_138))) )],[refute_0_990,refute_0_991]) ).
cnf(refute_0_993,plain,
multiply(least_upper_bound(X_139,identity),X_138) = least_upper_bound(X_138,multiply(X_139,X_138)),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,identity),X_138),least_upper_bound(multiply(X_139,X_138),X_138)) )],[refute_0_989,refute_0_992]) ).
cnf(refute_0_994,plain,
multiply(least_upper_bound(inverse(X_75),identity),greatest_lower_bound(identity,X_75)) = least_upper_bound(greatest_lower_bound(identity,X_75),multiply(inverse(X_75),greatest_lower_bound(identity,X_75))),
inference(subst,[],[refute_0_993:[bind(X_138,$fot(greatest_lower_bound(identity,X_75))),bind(X_139,$fot(inverse(X_75)))]]) ).
cnf(refute_0_995,plain,
( multiply(inverse(X_75),greatest_lower_bound(identity,X_75)) != greatest_lower_bound(identity,inverse(X_75))
| multiply(least_upper_bound(inverse(X_75),identity),greatest_lower_bound(identity,X_75)) != least_upper_bound(greatest_lower_bound(identity,X_75),multiply(inverse(X_75),greatest_lower_bound(identity,X_75)))
| multiply(least_upper_bound(inverse(X_75),identity),greatest_lower_bound(identity,X_75)) = least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(inverse(X_75),identity),greatest_lower_bound(identity,X_75)),least_upper_bound(greatest_lower_bound(identity,X_75),multiply(inverse(X_75),greatest_lower_bound(identity,X_75)))) ),[1,1],$fot(greatest_lower_bound(identity,inverse(X_75)))]]) ).
cnf(refute_0_996,plain,
( multiply(least_upper_bound(inverse(X_75),identity),greatest_lower_bound(identity,X_75)) != least_upper_bound(greatest_lower_bound(identity,X_75),multiply(inverse(X_75),greatest_lower_bound(identity,X_75)))
| multiply(least_upper_bound(inverse(X_75),identity),greatest_lower_bound(identity,X_75)) = least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_75),greatest_lower_bound(identity,X_75)),greatest_lower_bound(identity,inverse(X_75))) )],[refute_0_55,refute_0_995]) ).
cnf(refute_0_997,plain,
multiply(least_upper_bound(inverse(X_75),identity),greatest_lower_bound(identity,X_75)) = least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(inverse(X_75),identity),greatest_lower_bound(identity,X_75)),least_upper_bound(greatest_lower_bound(identity,X_75),multiply(inverse(X_75),greatest_lower_bound(identity,X_75)))) )],[refute_0_994,refute_0_996]) ).
cnf(refute_0_998,plain,
least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))) = least_upper_bound(X_16,multiply(X_192,X_16)),
inference(subst,[],[refute_0_506:[bind(X_17,$fot(multiply(X_192,X_16)))]]) ).
cnf(refute_0_999,plain,
multiply(least_upper_bound(X_192,identity),X_16) = least_upper_bound(X_16,multiply(X_192,X_16)),
inference(subst,[],[refute_0_993:[bind(X_138,$fot(X_16)),bind(X_139,$fot(X_192))]]) ).
cnf(refute_0_1000,plain,
( multiply(least_upper_bound(X_192,identity),X_16) != least_upper_bound(X_16,multiply(X_192,X_16))
| least_upper_bound(X_16,multiply(X_192,X_16)) = multiply(least_upper_bound(X_192,identity),X_16) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(least_upper_bound(X_192,identity),X_16))),bind(Y0,$fot(least_upper_bound(X_16,multiply(X_192,X_16))))]]) ).
cnf(refute_0_1001,plain,
least_upper_bound(X_16,multiply(X_192,X_16)) = multiply(least_upper_bound(X_192,identity),X_16),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_192,identity),X_16),least_upper_bound(X_16,multiply(X_192,X_16))) )],[refute_0_999,refute_0_1000]) ).
cnf(refute_0_1002,plain,
( least_upper_bound(X_16,multiply(X_192,X_16)) != multiply(least_upper_bound(X_192,identity),X_16)
| least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))) != least_upper_bound(X_16,multiply(X_192,X_16))
| least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))) = multiply(least_upper_bound(X_192,identity),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))),least_upper_bound(X_16,multiply(X_192,X_16))) ),[1],$fot(multiply(least_upper_bound(X_192,identity),X_16))]]) ).
cnf(refute_0_1003,plain,
( least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))) != least_upper_bound(X_16,multiply(X_192,X_16))
| least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))) = multiply(least_upper_bound(X_192,identity),X_16) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_16,multiply(X_192,X_16)),multiply(least_upper_bound(X_192,identity),X_16)) )],[refute_0_1001,refute_0_1002]) ).
cnf(refute_0_1004,plain,
least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))) = multiply(least_upper_bound(X_192,identity),X_16),
inference(resolve,[$cnf( $equal(least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))),least_upper_bound(X_16,multiply(X_192,X_16))) )],[refute_0_998,refute_0_1003]) ).
cnf(refute_0_1005,plain,
least_upper_bound(identity,least_upper_bound(X_192,identity)) = least_upper_bound(identity,X_192),
inference(subst,[],[refute_0_438:[bind(X_11,$fot(identity)),bind(X_15,$fot(X_192))]]) ).
cnf(refute_0_1006,plain,
multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16) = multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16),
introduced(tautology,[refl,[$fot(multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16))]]) ).
cnf(refute_0_1007,plain,
( multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16) != multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16)
| least_upper_bound(identity,least_upper_bound(X_192,identity)) != least_upper_bound(identity,X_192)
| multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16) = multiply(least_upper_bound(identity,X_192),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16),multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16)) ),[1,0],$fot(least_upper_bound(identity,X_192))]]) ).
cnf(refute_0_1008,plain,
( least_upper_bound(identity,least_upper_bound(X_192,identity)) != least_upper_bound(identity,X_192)
| multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16) = multiply(least_upper_bound(identity,X_192),X_16) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16),multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16)) )],[refute_0_1006,refute_0_1007]) ).
cnf(refute_0_1009,plain,
multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16) = multiply(least_upper_bound(identity,X_192),X_16),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_192,identity)),least_upper_bound(identity,X_192)) )],[refute_0_1005,refute_0_1008]) ).
cnf(refute_0_1010,plain,
multiply(least_upper_bound(least_upper_bound(X_192,identity),identity),X_16) = multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16),
inference(subst,[],[refute_0_648:[bind(X_138,$fot(X_16)),bind(X_139,$fot(identity)),bind(X_140,$fot(least_upper_bound(X_192,identity)))]]) ).
cnf(refute_0_1011,plain,
( multiply(least_upper_bound(X_139,identity),X_138) != least_upper_bound(X_138,multiply(X_139,X_138))
| least_upper_bound(X_138,multiply(X_139,X_138)) = multiply(least_upper_bound(X_139,identity),X_138) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(least_upper_bound(X_139,identity),X_138))),bind(Y0,$fot(least_upper_bound(X_138,multiply(X_139,X_138))))]]) ).
cnf(refute_0_1012,plain,
least_upper_bound(X_138,multiply(X_139,X_138)) = multiply(least_upper_bound(X_139,identity),X_138),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,identity),X_138),least_upper_bound(X_138,multiply(X_139,X_138))) )],[refute_0_993,refute_0_1011]) ).
cnf(refute_0_1013,plain,
least_upper_bound(X_16,multiply(least_upper_bound(X_192,identity),X_16)) = multiply(least_upper_bound(least_upper_bound(X_192,identity),identity),X_16),
inference(subst,[],[refute_0_1012:[bind(X_138,$fot(X_16)),bind(X_139,$fot(least_upper_bound(X_192,identity)))]]) ).
cnf(refute_0_1014,plain,
( multiply(least_upper_bound(least_upper_bound(X_192,identity),identity),X_16) != multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16)
| least_upper_bound(X_16,multiply(least_upper_bound(X_192,identity),X_16)) != multiply(least_upper_bound(least_upper_bound(X_192,identity),identity),X_16)
| least_upper_bound(X_16,multiply(least_upper_bound(X_192,identity),X_16)) = multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(X_16,multiply(least_upper_bound(X_192,identity),X_16)))),bind(Y0,$fot(multiply(least_upper_bound(least_upper_bound(X_192,identity),identity),X_16))),bind(Z0,$fot(multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16)))]]) ).
cnf(refute_0_1015,plain,
( multiply(least_upper_bound(least_upper_bound(X_192,identity),identity),X_16) != multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16)
| least_upper_bound(X_16,multiply(least_upper_bound(X_192,identity),X_16)) = multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_16,multiply(least_upper_bound(X_192,identity),X_16)),multiply(least_upper_bound(least_upper_bound(X_192,identity),identity),X_16)) )],[refute_0_1013,refute_0_1014]) ).
cnf(refute_0_1016,plain,
least_upper_bound(X_16,multiply(least_upper_bound(X_192,identity),X_16)) = multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(least_upper_bound(X_192,identity),identity),X_16),multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16)) )],[refute_0_1010,refute_0_1015]) ).
cnf(refute_0_1017,plain,
least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)) = least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_15,X_36)),X_38),
inference(subst,[],[associativity_of_lub:[bind(X,$fot(X_36)),bind(Y,$fot(least_upper_bound(X_15,X_36))),bind(Z,$fot(X_38))]]) ).
cnf(refute_0_1018,plain,
least_upper_bound(X_36,least_upper_bound(X_15,X_36)) = least_upper_bound(X_36,X_15),
inference(subst,[],[refute_0_438:[bind(X_11,$fot(X_36))]]) ).
cnf(refute_0_1019,plain,
( least_upper_bound(X_36,least_upper_bound(X_15,X_36)) != least_upper_bound(X_36,X_15)
| least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)) != least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_15,X_36)),X_38)
| least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)) = least_upper_bound(least_upper_bound(X_36,X_15),X_38) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)),least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_15,X_36)),X_38)) ),[1,0],$fot(least_upper_bound(X_36,X_15))]]) ).
cnf(refute_0_1020,plain,
( least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)) != least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_15,X_36)),X_38)
| least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)) = least_upper_bound(least_upper_bound(X_36,X_15),X_38) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(X_15,X_36)),least_upper_bound(X_36,X_15)) )],[refute_0_1018,refute_0_1019]) ).
cnf(refute_0_1021,plain,
least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)) = least_upper_bound(least_upper_bound(X_36,X_15),X_38),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)),least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_15,X_36)),X_38)) )],[refute_0_1017,refute_0_1020]) ).
cnf(refute_0_1022,plain,
least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(X_15,X_37))) = least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37)),
inference(subst,[],[associativity_of_lub:[bind(X,$fot(X_36)),bind(Y,$fot(X_37)),bind(Z,$fot(least_upper_bound(X_15,X_37)))]]) ).
cnf(refute_0_1023,plain,
least_upper_bound(X_37,least_upper_bound(X_15,X_37)) = least_upper_bound(X_37,X_15),
inference(subst,[],[refute_0_438:[bind(X_11,$fot(X_37))]]) ).
cnf(refute_0_1024,plain,
( least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(X_15,X_37))) != least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37))
| least_upper_bound(X_37,least_upper_bound(X_15,X_37)) != least_upper_bound(X_37,X_15)
| least_upper_bound(X_36,least_upper_bound(X_37,X_15)) = least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(X_15,X_37))),least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37))) ),[0,1],$fot(least_upper_bound(X_37,X_15))]]) ).
cnf(refute_0_1025,plain,
( least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(X_15,X_37))) != least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37))
| least_upper_bound(X_36,least_upper_bound(X_37,X_15)) = least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_37,least_upper_bound(X_15,X_37)),least_upper_bound(X_37,X_15)) )],[refute_0_1023,refute_0_1024]) ).
cnf(refute_0_1026,plain,
least_upper_bound(X_36,least_upper_bound(X_37,X_15)) = least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(X_15,X_37))),least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37))) )],[refute_0_1022,refute_0_1025]) ).
cnf(refute_0_1027,plain,
least_upper_bound(least_upper_bound(X_36,X_37),X_15) = least_upper_bound(X_36,least_upper_bound(X_37,X_15)),
inference(subst,[],[refute_0_434:[bind(X,$fot(X_36)),bind(Y,$fot(X_37)),bind(Z,$fot(X_15))]]) ).
cnf(refute_0_1028,plain,
least_upper_bound(X_37,least_upper_bound(least_upper_bound(X_36,X_37),X_15)) = least_upper_bound(X_37,least_upper_bound(least_upper_bound(X_36,X_37),X_15)),
introduced(tautology,[refl,[$fot(least_upper_bound(X_37,least_upper_bound(least_upper_bound(X_36,X_37),X_15)))]]) ).
cnf(refute_0_1029,plain,
( least_upper_bound(X_37,least_upper_bound(least_upper_bound(X_36,X_37),X_15)) != least_upper_bound(X_37,least_upper_bound(least_upper_bound(X_36,X_37),X_15))
| least_upper_bound(least_upper_bound(X_36,X_37),X_15) != least_upper_bound(X_36,least_upper_bound(X_37,X_15))
| least_upper_bound(X_37,least_upper_bound(least_upper_bound(X_36,X_37),X_15)) = least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_37,least_upper_bound(least_upper_bound(X_36,X_37),X_15)),least_upper_bound(X_37,least_upper_bound(least_upper_bound(X_36,X_37),X_15))) ),[1,1],$fot(least_upper_bound(X_36,least_upper_bound(X_37,X_15)))]]) ).
cnf(refute_0_1030,plain,
( least_upper_bound(least_upper_bound(X_36,X_37),X_15) != least_upper_bound(X_36,least_upper_bound(X_37,X_15))
| least_upper_bound(X_37,least_upper_bound(least_upper_bound(X_36,X_37),X_15)) = least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_37,least_upper_bound(least_upper_bound(X_36,X_37),X_15)),least_upper_bound(X_37,least_upper_bound(least_upper_bound(X_36,X_37),X_15))) )],[refute_0_1028,refute_0_1029]) ).
cnf(refute_0_1031,plain,
least_upper_bound(X_37,least_upper_bound(least_upper_bound(X_36,X_37),X_15)) = least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15))),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_36,X_37),X_15),least_upper_bound(X_36,least_upper_bound(X_37,X_15))) )],[refute_0_1027,refute_0_1030]) ).
cnf(refute_0_1032,plain,
least_upper_bound(X,least_upper_bound(X_36,X_37)) = least_upper_bound(least_upper_bound(X_36,X_37),X),
inference(subst,[],[symmetry_of_lub:[bind(Y,$fot(least_upper_bound(X_36,X_37)))]]) ).
cnf(refute_0_1033,plain,
least_upper_bound(X_36,least_upper_bound(X_37,X)) = least_upper_bound(least_upper_bound(X_36,X_37),X),
inference(subst,[],[associativity_of_lub:[bind(X,$fot(X_36)),bind(Y,$fot(X_37)),bind(Z,$fot(X))]]) ).
cnf(refute_0_1034,plain,
( least_upper_bound(X_36,least_upper_bound(X_37,X)) != least_upper_bound(least_upper_bound(X_36,X_37),X)
| least_upper_bound(least_upper_bound(X_36,X_37),X) = least_upper_bound(X_36,least_upper_bound(X_37,X)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_36,least_upper_bound(X_37,X)))),bind(Y0,$fot(least_upper_bound(least_upper_bound(X_36,X_37),X)))]]) ).
cnf(refute_0_1035,plain,
least_upper_bound(least_upper_bound(X_36,X_37),X) = least_upper_bound(X_36,least_upper_bound(X_37,X)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(X_37,X)),least_upper_bound(least_upper_bound(X_36,X_37),X)) )],[refute_0_1033,refute_0_1034]) ).
cnf(refute_0_1036,plain,
( least_upper_bound(X,least_upper_bound(X_36,X_37)) != least_upper_bound(least_upper_bound(X_36,X_37),X)
| least_upper_bound(least_upper_bound(X_36,X_37),X) != least_upper_bound(X_36,least_upper_bound(X_37,X))
| least_upper_bound(X,least_upper_bound(X_36,X_37)) = least_upper_bound(X_36,least_upper_bound(X_37,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(X,least_upper_bound(X_36,X_37)),least_upper_bound(X_36,least_upper_bound(X_37,X))) ),[0],$fot(least_upper_bound(least_upper_bound(X_36,X_37),X))]]) ).
cnf(refute_0_1037,plain,
( least_upper_bound(X,least_upper_bound(X_36,X_37)) != least_upper_bound(least_upper_bound(X_36,X_37),X)
| least_upper_bound(X,least_upper_bound(X_36,X_37)) = least_upper_bound(X_36,least_upper_bound(X_37,X)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_36,X_37),X),least_upper_bound(X_36,least_upper_bound(X_37,X))) )],[refute_0_1035,refute_0_1036]) ).
cnf(refute_0_1038,plain,
least_upper_bound(X,least_upper_bound(X_36,X_37)) = least_upper_bound(X_36,least_upper_bound(X_37,X)),
inference(resolve,[$cnf( $equal(least_upper_bound(X,least_upper_bound(X_36,X_37)),least_upper_bound(least_upper_bound(X_36,X_37),X)) )],[refute_0_1032,refute_0_1037]) ).
cnf(refute_0_1039,plain,
( least_upper_bound(X,least_upper_bound(X_36,X_37)) != least_upper_bound(X_36,least_upper_bound(X_37,X))
| least_upper_bound(X_36,least_upper_bound(X_37,X)) = least_upper_bound(X,least_upper_bound(X_36,X_37)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X,least_upper_bound(X_36,X_37)))),bind(Y0,$fot(least_upper_bound(X_36,least_upper_bound(X_37,X))))]]) ).
cnf(refute_0_1040,plain,
least_upper_bound(X_36,least_upper_bound(X_37,X)) = least_upper_bound(X,least_upper_bound(X_36,X_37)),
inference(resolve,[$cnf( $equal(least_upper_bound(X,least_upper_bound(X_36,X_37)),least_upper_bound(X_36,least_upper_bound(X_37,X))) )],[refute_0_1038,refute_0_1039]) ).
cnf(refute_0_1041,plain,
least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37)) = least_upper_bound(X_37,least_upper_bound(least_upper_bound(X_36,X_37),X_15)),
inference(subst,[],[refute_0_1040:[bind(X,$fot(X_37)),bind(X_36,$fot(least_upper_bound(X_36,X_37))),bind(X_37,$fot(X_15))]]) ).
cnf(refute_0_1042,plain,
( least_upper_bound(X_37,least_upper_bound(least_upper_bound(X_36,X_37),X_15)) != least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15)))
| least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37)) != least_upper_bound(X_37,least_upper_bound(least_upper_bound(X_36,X_37),X_15))
| least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37)) = least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37)))),bind(Y0,$fot(least_upper_bound(X_37,least_upper_bound(least_upper_bound(X_36,X_37),X_15)))),bind(Z0,$fot(least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15)))))]]) ).
cnf(refute_0_1043,plain,
( least_upper_bound(X_37,least_upper_bound(least_upper_bound(X_36,X_37),X_15)) != least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15)))
| least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37)) = least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37)),least_upper_bound(X_37,least_upper_bound(least_upper_bound(X_36,X_37),X_15))) )],[refute_0_1041,refute_0_1042]) ).
cnf(refute_0_1044,plain,
least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37)) = least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_37,least_upper_bound(least_upper_bound(X_36,X_37),X_15)),least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15)))) )],[refute_0_1031,refute_0_1043]) ).
cnf(refute_0_1045,plain,
( least_upper_bound(X_36,least_upper_bound(X_37,X_15)) != least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37))
| least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37)) != least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15)))
| least_upper_bound(X_36,least_upper_bound(X_37,X_15)) = least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(X_36,least_upper_bound(X_37,X_15)),least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15)))) ),[0],$fot(least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37)))]]) ).
cnf(refute_0_1046,plain,
( least_upper_bound(X_36,least_upper_bound(X_37,X_15)) != least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37))
| least_upper_bound(X_36,least_upper_bound(X_37,X_15)) = least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37)),least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15)))) )],[refute_0_1044,refute_0_1045]) ).
cnf(refute_0_1047,plain,
least_upper_bound(X_36,least_upper_bound(X_37,X_15)) = least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(X_37,X_15)),least_upper_bound(least_upper_bound(X_36,X_37),least_upper_bound(X_15,X_37))) )],[refute_0_1026,refute_0_1046]) ).
cnf(refute_0_1048,plain,
( least_upper_bound(X_36,least_upper_bound(X_37,X_15)) != least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15)))
| least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15))) = least_upper_bound(X_36,least_upper_bound(X_37,X_15)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_36,least_upper_bound(X_37,X_15)))),bind(Y0,$fot(least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15)))))]]) ).
cnf(refute_0_1049,plain,
least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15))) = least_upper_bound(X_36,least_upper_bound(X_37,X_15)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(X_37,X_15)),least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(X_37,X_15)))) )],[refute_0_1047,refute_0_1048]) ).
cnf(refute_0_1050,plain,
least_upper_bound(X_36,least_upper_bound(X_15,least_upper_bound(X_36,X_38))) = least_upper_bound(X_15,least_upper_bound(X_36,X_38)),
inference(subst,[],[refute_0_1049:[bind(X_15,$fot(X_38)),bind(X_36,$fot(X_15)),bind(X_37,$fot(X_36))]]) ).
cnf(refute_0_1051,plain,
least_upper_bound(least_upper_bound(X_15,X_36),X_38) = least_upper_bound(X_15,least_upper_bound(X_36,X_38)),
inference(subst,[],[refute_0_434:[bind(X,$fot(X_15)),bind(Y,$fot(X_36)),bind(Z,$fot(X_38))]]) ).
cnf(refute_0_1052,plain,
least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)) = least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)),
introduced(tautology,[refl,[$fot(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)))]]) ).
cnf(refute_0_1053,plain,
( least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)) != least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38))
| least_upper_bound(least_upper_bound(X_15,X_36),X_38) != least_upper_bound(X_15,least_upper_bound(X_36,X_38))
| least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)) = least_upper_bound(X_36,least_upper_bound(X_15,least_upper_bound(X_36,X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)),least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38))) ),[1,1],$fot(least_upper_bound(X_15,least_upper_bound(X_36,X_38)))]]) ).
cnf(refute_0_1054,plain,
( least_upper_bound(least_upper_bound(X_15,X_36),X_38) != least_upper_bound(X_15,least_upper_bound(X_36,X_38))
| least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)) = least_upper_bound(X_36,least_upper_bound(X_15,least_upper_bound(X_36,X_38))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)),least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38))) )],[refute_0_1052,refute_0_1053]) ).
cnf(refute_0_1055,plain,
least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)) = least_upper_bound(X_36,least_upper_bound(X_15,least_upper_bound(X_36,X_38))),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_15,X_36),X_38),least_upper_bound(X_15,least_upper_bound(X_36,X_38))) )],[refute_0_1051,refute_0_1054]) ).
cnf(refute_0_1056,plain,
( least_upper_bound(X_36,least_upper_bound(X_15,least_upper_bound(X_36,X_38))) != least_upper_bound(X_15,least_upper_bound(X_36,X_38))
| least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)) != least_upper_bound(X_36,least_upper_bound(X_15,least_upper_bound(X_36,X_38)))
| least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)) = least_upper_bound(X_15,least_upper_bound(X_36,X_38)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)))),bind(Y0,$fot(least_upper_bound(X_36,least_upper_bound(X_15,least_upper_bound(X_36,X_38))))),bind(Z0,$fot(least_upper_bound(X_15,least_upper_bound(X_36,X_38))))]]) ).
cnf(refute_0_1057,plain,
( least_upper_bound(X_36,least_upper_bound(X_15,least_upper_bound(X_36,X_38))) != least_upper_bound(X_15,least_upper_bound(X_36,X_38))
| least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)) = least_upper_bound(X_15,least_upper_bound(X_36,X_38)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)),least_upper_bound(X_36,least_upper_bound(X_15,least_upper_bound(X_36,X_38)))) )],[refute_0_1055,refute_0_1056]) ).
cnf(refute_0_1058,plain,
least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)) = least_upper_bound(X_15,least_upper_bound(X_36,X_38)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(X_15,least_upper_bound(X_36,X_38))),least_upper_bound(X_15,least_upper_bound(X_36,X_38))) )],[refute_0_1050,refute_0_1057]) ).
cnf(refute_0_1059,plain,
( least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)) != least_upper_bound(X_15,least_upper_bound(X_36,X_38))
| least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)) != least_upper_bound(least_upper_bound(X_36,X_15),X_38)
| least_upper_bound(X_15,least_upper_bound(X_36,X_38)) = least_upper_bound(least_upper_bound(X_36,X_15),X_38) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)),least_upper_bound(least_upper_bound(X_36,X_15),X_38)) ),[0],$fot(least_upper_bound(X_15,least_upper_bound(X_36,X_38)))]]) ).
cnf(refute_0_1060,plain,
( least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)) != least_upper_bound(least_upper_bound(X_36,X_15),X_38)
| least_upper_bound(X_15,least_upper_bound(X_36,X_38)) = least_upper_bound(least_upper_bound(X_36,X_15),X_38) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)),least_upper_bound(X_15,least_upper_bound(X_36,X_38))) )],[refute_0_1058,refute_0_1059]) ).
cnf(refute_0_1061,plain,
least_upper_bound(least_upper_bound(X_36,X_15),X_38) = least_upper_bound(X_36,least_upper_bound(X_15,X_38)),
inference(subst,[],[refute_0_434:[bind(X,$fot(X_36)),bind(Y,$fot(X_15)),bind(Z,$fot(X_38))]]) ).
cnf(refute_0_1062,plain,
( least_upper_bound(X_15,least_upper_bound(X_36,X_38)) != least_upper_bound(least_upper_bound(X_36,X_15),X_38)
| least_upper_bound(least_upper_bound(X_36,X_15),X_38) != least_upper_bound(X_36,least_upper_bound(X_15,X_38))
| least_upper_bound(X_15,least_upper_bound(X_36,X_38)) = least_upper_bound(X_36,least_upper_bound(X_15,X_38)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(X_15,least_upper_bound(X_36,X_38)),least_upper_bound(X_36,least_upper_bound(X_15,X_38))) ),[0],$fot(least_upper_bound(least_upper_bound(X_36,X_15),X_38))]]) ).
cnf(refute_0_1063,plain,
( least_upper_bound(X_15,least_upper_bound(X_36,X_38)) != least_upper_bound(least_upper_bound(X_36,X_15),X_38)
| least_upper_bound(X_15,least_upper_bound(X_36,X_38)) = least_upper_bound(X_36,least_upper_bound(X_15,X_38)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_36,X_15),X_38),least_upper_bound(X_36,least_upper_bound(X_15,X_38))) )],[refute_0_1061,refute_0_1062]) ).
cnf(refute_0_1064,plain,
( least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)) != least_upper_bound(least_upper_bound(X_36,X_15),X_38)
| least_upper_bound(X_15,least_upper_bound(X_36,X_38)) = least_upper_bound(X_36,least_upper_bound(X_15,X_38)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_15,least_upper_bound(X_36,X_38)),least_upper_bound(least_upper_bound(X_36,X_15),X_38)) )],[refute_0_1060,refute_0_1063]) ).
cnf(refute_0_1065,plain,
least_upper_bound(X_15,least_upper_bound(X_36,X_38)) = least_upper_bound(X_36,least_upper_bound(X_15,X_38)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_15,X_36),X_38)),least_upper_bound(least_upper_bound(X_36,X_15),X_38)) )],[refute_0_1021,refute_0_1064]) ).
cnf(refute_0_1066,plain,
least_upper_bound(X_15,least_upper_bound(X_36,multiply(X_192,X_15))) = least_upper_bound(X_36,least_upper_bound(X_15,multiply(X_192,X_15))),
inference(subst,[],[refute_0_1065:[bind(X_38,$fot(multiply(X_192,X_15)))]]) ).
cnf(refute_0_1067,plain,
multiply(least_upper_bound(X_192,identity),X_15) = least_upper_bound(X_15,multiply(X_192,X_15)),
inference(subst,[],[refute_0_993:[bind(X_138,$fot(X_15)),bind(X_139,$fot(X_192))]]) ).
cnf(refute_0_1068,plain,
( multiply(least_upper_bound(X_192,identity),X_15) != least_upper_bound(X_15,multiply(X_192,X_15))
| least_upper_bound(X_15,multiply(X_192,X_15)) = multiply(least_upper_bound(X_192,identity),X_15) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(least_upper_bound(X_192,identity),X_15))),bind(Y0,$fot(least_upper_bound(X_15,multiply(X_192,X_15))))]]) ).
cnf(refute_0_1069,plain,
least_upper_bound(X_15,multiply(X_192,X_15)) = multiply(least_upper_bound(X_192,identity),X_15),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_192,identity),X_15),least_upper_bound(X_15,multiply(X_192,X_15))) )],[refute_0_1067,refute_0_1068]) ).
cnf(refute_0_1070,plain,
( least_upper_bound(X_15,multiply(X_192,X_15)) != multiply(least_upper_bound(X_192,identity),X_15)
| least_upper_bound(X_15,least_upper_bound(X_36,multiply(X_192,X_15))) != least_upper_bound(X_36,least_upper_bound(X_15,multiply(X_192,X_15)))
| least_upper_bound(X_15,least_upper_bound(X_36,multiply(X_192,X_15))) = least_upper_bound(X_36,multiply(least_upper_bound(X_192,identity),X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_15,least_upper_bound(X_36,multiply(X_192,X_15))),least_upper_bound(X_36,least_upper_bound(X_15,multiply(X_192,X_15)))) ),[1,1],$fot(multiply(least_upper_bound(X_192,identity),X_15))]]) ).
cnf(refute_0_1071,plain,
( least_upper_bound(X_15,least_upper_bound(X_36,multiply(X_192,X_15))) != least_upper_bound(X_36,least_upper_bound(X_15,multiply(X_192,X_15)))
| least_upper_bound(X_15,least_upper_bound(X_36,multiply(X_192,X_15))) = least_upper_bound(X_36,multiply(least_upper_bound(X_192,identity),X_15)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_15,multiply(X_192,X_15)),multiply(least_upper_bound(X_192,identity),X_15)) )],[refute_0_1069,refute_0_1070]) ).
cnf(refute_0_1072,plain,
least_upper_bound(X_15,least_upper_bound(X_36,multiply(X_192,X_15))) = least_upper_bound(X_36,multiply(least_upper_bound(X_192,identity),X_15)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_15,least_upper_bound(X_36,multiply(X_192,X_15))),least_upper_bound(X_36,least_upper_bound(X_15,multiply(X_192,X_15)))) )],[refute_0_1066,refute_0_1071]) ).
cnf(refute_0_1073,plain,
least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))) = least_upper_bound(X_16,multiply(least_upper_bound(X_192,identity),X_16)),
inference(subst,[],[refute_0_1072:[bind(X_15,$fot(X_16)),bind(X_36,$fot(X_16))]]) ).
cnf(refute_0_1074,plain,
( least_upper_bound(X_16,multiply(least_upper_bound(X_192,identity),X_16)) != multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16)
| least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))) != least_upper_bound(X_16,multiply(least_upper_bound(X_192,identity),X_16))
| least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))) = multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))))),bind(Y0,$fot(least_upper_bound(X_16,multiply(least_upper_bound(X_192,identity),X_16)))),bind(Z0,$fot(multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16)))]]) ).
cnf(refute_0_1075,plain,
( least_upper_bound(X_16,multiply(least_upper_bound(X_192,identity),X_16)) != multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16)
| least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))) = multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))),least_upper_bound(X_16,multiply(least_upper_bound(X_192,identity),X_16))) )],[refute_0_1073,refute_0_1074]) ).
cnf(refute_0_1076,plain,
least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))) = multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16),
inference(resolve,[$cnf( $equal(least_upper_bound(X_16,multiply(least_upper_bound(X_192,identity),X_16)),multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16)) )],[refute_0_1016,refute_0_1075]) ).
cnf(refute_0_1077,plain,
( multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16) != multiply(least_upper_bound(identity,X_192),X_16)
| least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))) != multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16)
| least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))) = multiply(least_upper_bound(identity,X_192),X_16) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))))),bind(Y0,$fot(multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16))),bind(Z0,$fot(multiply(least_upper_bound(identity,X_192),X_16)))]]) ).
cnf(refute_0_1078,plain,
( multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16) != multiply(least_upper_bound(identity,X_192),X_16)
| least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))) = multiply(least_upper_bound(identity,X_192),X_16) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))),multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16)) )],[refute_0_1076,refute_0_1077]) ).
cnf(refute_0_1079,plain,
least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))) = multiply(least_upper_bound(identity,X_192),X_16),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,least_upper_bound(X_192,identity)),X_16),multiply(least_upper_bound(identity,X_192),X_16)) )],[refute_0_1009,refute_0_1078]) ).
cnf(refute_0_1080,plain,
( least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))) != multiply(least_upper_bound(X_192,identity),X_16)
| least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))) != multiply(least_upper_bound(identity,X_192),X_16)
| multiply(least_upper_bound(identity,X_192),X_16) = multiply(least_upper_bound(X_192,identity),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))),multiply(least_upper_bound(X_192,identity),X_16)) ),[0],$fot(multiply(least_upper_bound(identity,X_192),X_16))]]) ).
cnf(refute_0_1081,plain,
( least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))) != multiply(least_upper_bound(X_192,identity),X_16)
| multiply(least_upper_bound(identity,X_192),X_16) = multiply(least_upper_bound(X_192,identity),X_16) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))),multiply(least_upper_bound(identity,X_192),X_16)) )],[refute_0_1079,refute_0_1080]) ).
cnf(refute_0_1082,plain,
multiply(least_upper_bound(identity,X_192),X_16) = multiply(least_upper_bound(X_192,identity),X_16),
inference(resolve,[$cnf( $equal(least_upper_bound(X_16,least_upper_bound(X_16,multiply(X_192,X_16))),multiply(least_upper_bound(X_192,identity),X_16)) )],[refute_0_1004,refute_0_1081]) ).
cnf(refute_0_1083,plain,
( multiply(least_upper_bound(identity,X_192),X_16) != multiply(least_upper_bound(X_192,identity),X_16)
| multiply(least_upper_bound(X_192,identity),X_16) = multiply(least_upper_bound(identity,X_192),X_16) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(least_upper_bound(identity,X_192),X_16))),bind(Y0,$fot(multiply(least_upper_bound(X_192,identity),X_16)))]]) ).
cnf(refute_0_1084,plain,
multiply(least_upper_bound(X_192,identity),X_16) = multiply(least_upper_bound(identity,X_192),X_16),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,X_192),X_16),multiply(least_upper_bound(X_192,identity),X_16)) )],[refute_0_1082,refute_0_1083]) ).
cnf(refute_0_1085,plain,
multiply(least_upper_bound(inverse(X_75),identity),greatest_lower_bound(identity,X_75)) = multiply(least_upper_bound(identity,inverse(X_75)),greatest_lower_bound(identity,X_75)),
inference(subst,[],[refute_0_1084:[bind(X_16,$fot(greatest_lower_bound(identity,X_75))),bind(X_192,$fot(inverse(X_75)))]]) ).
cnf(refute_0_1086,plain,
( multiply(least_upper_bound(inverse(X_75),identity),greatest_lower_bound(identity,X_75)) != multiply(least_upper_bound(identity,inverse(X_75)),greatest_lower_bound(identity,X_75))
| multiply(least_upper_bound(inverse(X_75),identity),greatest_lower_bound(identity,X_75)) != least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75)))
| multiply(least_upper_bound(identity,inverse(X_75)),greatest_lower_bound(identity,X_75)) = least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(inverse(X_75),identity),greatest_lower_bound(identity,X_75)),least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75)))) ),[0],$fot(multiply(least_upper_bound(identity,inverse(X_75)),greatest_lower_bound(identity,X_75)))]]) ).
cnf(refute_0_1087,plain,
( multiply(least_upper_bound(inverse(X_75),identity),greatest_lower_bound(identity,X_75)) != least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75)))
| multiply(least_upper_bound(identity,inverse(X_75)),greatest_lower_bound(identity,X_75)) = least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(inverse(X_75),identity),greatest_lower_bound(identity,X_75)),multiply(least_upper_bound(identity,inverse(X_75)),greatest_lower_bound(identity,X_75))) )],[refute_0_1085,refute_0_1086]) ).
cnf(refute_0_1088,plain,
multiply(least_upper_bound(identity,inverse(X_75)),greatest_lower_bound(identity,X_75)) = least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(inverse(X_75),identity),greatest_lower_bound(identity,X_75)),least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75)))) )],[refute_0_997,refute_0_1087]) ).
cnf(refute_0_1089,plain,
multiply(greatest_lower_bound(identity,X_93),least_upper_bound(X_130,inverse(X_93))) = least_upper_bound(multiply(greatest_lower_bound(identity,X_93),X_130),multiply(greatest_lower_bound(identity,X_93),inverse(X_93))),
inference(subst,[],[monotony_lub1:[bind(X,$fot(greatest_lower_bound(identity,X_93))),bind(Y,$fot(X_130)),bind(Z,$fot(inverse(X_93)))]]) ).
cnf(refute_0_1090,plain,
( multiply(greatest_lower_bound(identity,X_93),inverse(X_93)) != greatest_lower_bound(identity,inverse(X_93))
| multiply(greatest_lower_bound(identity,X_93),least_upper_bound(X_130,inverse(X_93))) != least_upper_bound(multiply(greatest_lower_bound(identity,X_93),X_130),multiply(greatest_lower_bound(identity,X_93),inverse(X_93)))
| multiply(greatest_lower_bound(identity,X_93),least_upper_bound(X_130,inverse(X_93))) = least_upper_bound(multiply(greatest_lower_bound(identity,X_93),X_130),greatest_lower_bound(identity,inverse(X_93))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_93),least_upper_bound(X_130,inverse(X_93))),least_upper_bound(multiply(greatest_lower_bound(identity,X_93),X_130),multiply(greatest_lower_bound(identity,X_93),inverse(X_93)))) ),[1,1],$fot(greatest_lower_bound(identity,inverse(X_93)))]]) ).
cnf(refute_0_1091,plain,
( multiply(greatest_lower_bound(identity,X_93),least_upper_bound(X_130,inverse(X_93))) != least_upper_bound(multiply(greatest_lower_bound(identity,X_93),X_130),multiply(greatest_lower_bound(identity,X_93),inverse(X_93)))
| multiply(greatest_lower_bound(identity,X_93),least_upper_bound(X_130,inverse(X_93))) = least_upper_bound(multiply(greatest_lower_bound(identity,X_93),X_130),greatest_lower_bound(identity,inverse(X_93))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_93),inverse(X_93)),greatest_lower_bound(identity,inverse(X_93))) )],[refute_0_940,refute_0_1090]) ).
cnf(refute_0_1092,plain,
multiply(greatest_lower_bound(identity,X_93),least_upper_bound(X_130,inverse(X_93))) = least_upper_bound(multiply(greatest_lower_bound(identity,X_93),X_130),greatest_lower_bound(identity,inverse(X_93))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_93),least_upper_bound(X_130,inverse(X_93))),least_upper_bound(multiply(greatest_lower_bound(identity,X_93),X_130),multiply(greatest_lower_bound(identity,X_93),inverse(X_93)))) )],[refute_0_1089,refute_0_1091]) ).
cnf(refute_0_1093,plain,
least_upper_bound(multiply(greatest_lower_bound(identity,X_93),X_130),greatest_lower_bound(identity,inverse(X_93))) = least_upper_bound(greatest_lower_bound(identity,inverse(X_93)),multiply(greatest_lower_bound(identity,X_93),X_130)),
inference(subst,[],[refute_0_404:[bind(X,$fot(greatest_lower_bound(identity,inverse(X_93)))),bind(Y,$fot(multiply(greatest_lower_bound(identity,X_93),X_130)))]]) ).
cnf(refute_0_1094,plain,
( multiply(greatest_lower_bound(identity,X_93),least_upper_bound(X_130,inverse(X_93))) != least_upper_bound(multiply(greatest_lower_bound(identity,X_93),X_130),greatest_lower_bound(identity,inverse(X_93)))
| least_upper_bound(multiply(greatest_lower_bound(identity,X_93),X_130),greatest_lower_bound(identity,inverse(X_93))) != least_upper_bound(greatest_lower_bound(identity,inverse(X_93)),multiply(greatest_lower_bound(identity,X_93),X_130))
| multiply(greatest_lower_bound(identity,X_93),least_upper_bound(X_130,inverse(X_93))) = least_upper_bound(greatest_lower_bound(identity,inverse(X_93)),multiply(greatest_lower_bound(identity,X_93),X_130)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(greatest_lower_bound(identity,X_93),least_upper_bound(X_130,inverse(X_93))),least_upper_bound(greatest_lower_bound(identity,inverse(X_93)),multiply(greatest_lower_bound(identity,X_93),X_130))) ),[0],$fot(least_upper_bound(multiply(greatest_lower_bound(identity,X_93),X_130),greatest_lower_bound(identity,inverse(X_93))))]]) ).
cnf(refute_0_1095,plain,
( multiply(greatest_lower_bound(identity,X_93),least_upper_bound(X_130,inverse(X_93))) != least_upper_bound(multiply(greatest_lower_bound(identity,X_93),X_130),greatest_lower_bound(identity,inverse(X_93)))
| multiply(greatest_lower_bound(identity,X_93),least_upper_bound(X_130,inverse(X_93))) = least_upper_bound(greatest_lower_bound(identity,inverse(X_93)),multiply(greatest_lower_bound(identity,X_93),X_130)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(greatest_lower_bound(identity,X_93),X_130),greatest_lower_bound(identity,inverse(X_93))),least_upper_bound(greatest_lower_bound(identity,inverse(X_93)),multiply(greatest_lower_bound(identity,X_93),X_130))) )],[refute_0_1093,refute_0_1094]) ).
cnf(refute_0_1096,plain,
multiply(greatest_lower_bound(identity,X_93),least_upper_bound(X_130,inverse(X_93))) = least_upper_bound(greatest_lower_bound(identity,inverse(X_93)),multiply(greatest_lower_bound(identity,X_93),X_130)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_93),least_upper_bound(X_130,inverse(X_93))),least_upper_bound(multiply(greatest_lower_bound(identity,X_93),X_130),greatest_lower_bound(identity,inverse(X_93)))) )],[refute_0_1092,refute_0_1095]) ).
cnf(refute_0_1097,plain,
multiply(greatest_lower_bound(identity,X_318),least_upper_bound(identity,inverse(X_318))) = least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),identity)),
inference(subst,[],[refute_0_1096:[bind(X_130,$fot(identity)),bind(X_93,$fot(X_318))]]) ).
cnf(refute_0_1098,plain,
greatest_lower_bound(identity,X_318) = multiply(greatest_lower_bound(identity,X_318),identity),
inference(subst,[],[refute_0_19:[bind(X,$fot(greatest_lower_bound(identity,X_318)))]]) ).
cnf(refute_0_1099,plain,
( greatest_lower_bound(identity,X_318) != multiply(greatest_lower_bound(identity,X_318),identity)
| multiply(greatest_lower_bound(identity,X_318),identity) = greatest_lower_bound(identity,X_318) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(identity,X_318))),bind(Y0,$fot(multiply(greatest_lower_bound(identity,X_318),identity)))]]) ).
cnf(refute_0_1100,plain,
multiply(greatest_lower_bound(identity,X_318),identity) = greatest_lower_bound(identity,X_318),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,X_318),multiply(greatest_lower_bound(identity,X_318),identity)) )],[refute_0_1098,refute_0_1099]) ).
cnf(refute_0_1101,plain,
( multiply(greatest_lower_bound(identity,X_318),identity) != greatest_lower_bound(identity,X_318)
| multiply(greatest_lower_bound(identity,X_318),least_upper_bound(identity,inverse(X_318))) != least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),identity))
| multiply(greatest_lower_bound(identity,X_318),least_upper_bound(identity,inverse(X_318))) = least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(identity,inverse(X_318))),least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),identity))) ),[1,1],$fot(greatest_lower_bound(identity,X_318))]]) ).
cnf(refute_0_1102,plain,
( multiply(greatest_lower_bound(identity,X_318),least_upper_bound(identity,inverse(X_318))) != least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),identity))
| multiply(greatest_lower_bound(identity,X_318),least_upper_bound(identity,inverse(X_318))) = least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_318),identity),greatest_lower_bound(identity,X_318)) )],[refute_0_1100,refute_0_1101]) ).
cnf(refute_0_1103,plain,
multiply(greatest_lower_bound(identity,X_318),least_upper_bound(identity,inverse(X_318))) = least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(identity,inverse(X_318))),least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),identity))) )],[refute_0_1097,refute_0_1102]) ).
cnf(refute_0_1104,plain,
( multiply(least_upper_bound(identity,inverse(X_75)),greatest_lower_bound(identity,X_75)) != least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75)))
| least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75))) = multiply(least_upper_bound(identity,inverse(X_75)),greatest_lower_bound(identity,X_75)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(least_upper_bound(identity,inverse(X_75)),greatest_lower_bound(identity,X_75)))),bind(Y0,$fot(least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75)))))]]) ).
cnf(refute_0_1105,plain,
least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75))) = multiply(least_upper_bound(identity,inverse(X_75)),greatest_lower_bound(identity,X_75)),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,inverse(X_75)),greatest_lower_bound(identity,X_75)),least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75)))) )],[refute_0_1088,refute_0_1104]) ).
cnf(refute_0_1106,plain,
least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(identity,inverse(X_318))) = multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)),
inference(subst,[],[refute_0_1105:[bind(X_75,$fot(X_318))]]) ).
cnf(refute_0_1107,plain,
least_upper_bound(X_46,least_upper_bound(X_47,least_upper_bound(X_15,X_47))) = least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)),
inference(subst,[],[refute_0_1038:[bind(X,$fot(X_46)),bind(X_36,$fot(X_47)),bind(X_37,$fot(least_upper_bound(X_15,X_47)))]]) ).
cnf(refute_0_1108,plain,
least_upper_bound(X_47,least_upper_bound(X_15,X_47)) = least_upper_bound(X_47,X_15),
inference(subst,[],[refute_0_438:[bind(X_11,$fot(X_47))]]) ).
cnf(refute_0_1109,plain,
( least_upper_bound(X_46,least_upper_bound(X_47,least_upper_bound(X_15,X_47))) != least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46))
| least_upper_bound(X_47,least_upper_bound(X_15,X_47)) != least_upper_bound(X_47,X_15)
| least_upper_bound(X_46,least_upper_bound(X_47,X_15)) = least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_46,least_upper_bound(X_47,least_upper_bound(X_15,X_47))),least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46))) ),[0,1],$fot(least_upper_bound(X_47,X_15))]]) ).
cnf(refute_0_1110,plain,
( least_upper_bound(X_46,least_upper_bound(X_47,least_upper_bound(X_15,X_47))) != least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46))
| least_upper_bound(X_46,least_upper_bound(X_47,X_15)) = least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_47,least_upper_bound(X_15,X_47)),least_upper_bound(X_47,X_15)) )],[refute_0_1108,refute_0_1109]) ).
cnf(refute_0_1111,plain,
least_upper_bound(X_46,least_upper_bound(X_47,X_15)) = least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_46,least_upper_bound(X_47,least_upper_bound(X_15,X_47))),least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46))) )],[refute_0_1107,refute_0_1110]) ).
cnf(refute_0_1112,plain,
least_upper_bound(X_47,least_upper_bound(X_15,least_upper_bound(X_47,X_46))) = least_upper_bound(X_15,least_upper_bound(X_47,X_46)),
inference(subst,[],[refute_0_1049:[bind(X_15,$fot(X_46)),bind(X_36,$fot(X_15)),bind(X_37,$fot(X_47))]]) ).
cnf(refute_0_1113,plain,
least_upper_bound(least_upper_bound(X_15,X_47),X_46) = least_upper_bound(X_15,least_upper_bound(X_47,X_46)),
inference(subst,[],[refute_0_434:[bind(X,$fot(X_15)),bind(Y,$fot(X_47)),bind(Z,$fot(X_46))]]) ).
cnf(refute_0_1114,plain,
least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)) = least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)),
introduced(tautology,[refl,[$fot(least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)))]]) ).
cnf(refute_0_1115,plain,
( least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)) != least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46))
| least_upper_bound(least_upper_bound(X_15,X_47),X_46) != least_upper_bound(X_15,least_upper_bound(X_47,X_46))
| least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)) = least_upper_bound(X_47,least_upper_bound(X_15,least_upper_bound(X_47,X_46))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)),least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46))) ),[1,1],$fot(least_upper_bound(X_15,least_upper_bound(X_47,X_46)))]]) ).
cnf(refute_0_1116,plain,
( least_upper_bound(least_upper_bound(X_15,X_47),X_46) != least_upper_bound(X_15,least_upper_bound(X_47,X_46))
| least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)) = least_upper_bound(X_47,least_upper_bound(X_15,least_upper_bound(X_47,X_46))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)),least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46))) )],[refute_0_1114,refute_0_1115]) ).
cnf(refute_0_1117,plain,
least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)) = least_upper_bound(X_47,least_upper_bound(X_15,least_upper_bound(X_47,X_46))),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_15,X_47),X_46),least_upper_bound(X_15,least_upper_bound(X_47,X_46))) )],[refute_0_1113,refute_0_1116]) ).
cnf(refute_0_1118,plain,
( least_upper_bound(X_47,least_upper_bound(X_15,least_upper_bound(X_47,X_46))) != least_upper_bound(X_15,least_upper_bound(X_47,X_46))
| least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)) != least_upper_bound(X_47,least_upper_bound(X_15,least_upper_bound(X_47,X_46)))
| least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)) = least_upper_bound(X_15,least_upper_bound(X_47,X_46)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)))),bind(Y0,$fot(least_upper_bound(X_47,least_upper_bound(X_15,least_upper_bound(X_47,X_46))))),bind(Z0,$fot(least_upper_bound(X_15,least_upper_bound(X_47,X_46))))]]) ).
cnf(refute_0_1119,plain,
( least_upper_bound(X_47,least_upper_bound(X_15,least_upper_bound(X_47,X_46))) != least_upper_bound(X_15,least_upper_bound(X_47,X_46))
| least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)) = least_upper_bound(X_15,least_upper_bound(X_47,X_46)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)),least_upper_bound(X_47,least_upper_bound(X_15,least_upper_bound(X_47,X_46)))) )],[refute_0_1117,refute_0_1118]) ).
cnf(refute_0_1120,plain,
least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)) = least_upper_bound(X_15,least_upper_bound(X_47,X_46)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_47,least_upper_bound(X_15,least_upper_bound(X_47,X_46))),least_upper_bound(X_15,least_upper_bound(X_47,X_46))) )],[refute_0_1112,refute_0_1119]) ).
cnf(refute_0_1121,plain,
( least_upper_bound(X_46,least_upper_bound(X_47,X_15)) != least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46))
| least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)) != least_upper_bound(X_15,least_upper_bound(X_47,X_46))
| least_upper_bound(X_46,least_upper_bound(X_47,X_15)) = least_upper_bound(X_15,least_upper_bound(X_47,X_46)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(X_46,least_upper_bound(X_47,X_15)),least_upper_bound(X_15,least_upper_bound(X_47,X_46))) ),[0],$fot(least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)))]]) ).
cnf(refute_0_1122,plain,
( least_upper_bound(X_46,least_upper_bound(X_47,X_15)) != least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46))
| least_upper_bound(X_46,least_upper_bound(X_47,X_15)) = least_upper_bound(X_15,least_upper_bound(X_47,X_46)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46)),least_upper_bound(X_15,least_upper_bound(X_47,X_46))) )],[refute_0_1120,refute_0_1121]) ).
cnf(refute_0_1123,plain,
least_upper_bound(X_46,least_upper_bound(X_47,X_15)) = least_upper_bound(X_15,least_upper_bound(X_47,X_46)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_46,least_upper_bound(X_47,X_15)),least_upper_bound(X_47,least_upper_bound(least_upper_bound(X_15,X_47),X_46))) )],[refute_0_1111,refute_0_1122]) ).
cnf(refute_0_1124,plain,
least_upper_bound(X_237,least_upper_bound(greatest_lower_bound(X_30,X_11),greatest_lower_bound(X_11,X_30))) = least_upper_bound(greatest_lower_bound(X_11,X_30),least_upper_bound(greatest_lower_bound(X_30,X_11),X_237)),
inference(subst,[],[refute_0_1123:[bind(X_15,$fot(greatest_lower_bound(X_11,X_30))),bind(X_46,$fot(X_237)),bind(X_47,$fot(greatest_lower_bound(X_30,X_11)))]]) ).
cnf(refute_0_1125,plain,
least_upper_bound(greatest_lower_bound(X_30,X_11),greatest_lower_bound(X_11,greatest_lower_bound(X_30,X_11))) = greatest_lower_bound(X_30,X_11),
inference(subst,[],[refute_0_427:[bind(X_10,$fot(greatest_lower_bound(X_30,X_11)))]]) ).
cnf(refute_0_1126,plain,
greatest_lower_bound(X_11,greatest_lower_bound(X_30,X_11)) = greatest_lower_bound(X_11,X_30),
inference(subst,[],[refute_0_765:[bind(Y,$fot(X_30)),bind(X_19,$fot(X_11))]]) ).
cnf(refute_0_1127,plain,
( greatest_lower_bound(X_11,greatest_lower_bound(X_30,X_11)) != greatest_lower_bound(X_11,X_30)
| least_upper_bound(greatest_lower_bound(X_30,X_11),greatest_lower_bound(X_11,greatest_lower_bound(X_30,X_11))) != greatest_lower_bound(X_30,X_11)
| least_upper_bound(greatest_lower_bound(X_30,X_11),greatest_lower_bound(X_11,X_30)) = greatest_lower_bound(X_30,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_30,X_11),greatest_lower_bound(X_11,greatest_lower_bound(X_30,X_11))),greatest_lower_bound(X_30,X_11)) ),[0,1],$fot(greatest_lower_bound(X_11,X_30))]]) ).
cnf(refute_0_1128,plain,
( least_upper_bound(greatest_lower_bound(X_30,X_11),greatest_lower_bound(X_11,greatest_lower_bound(X_30,X_11))) != greatest_lower_bound(X_30,X_11)
| least_upper_bound(greatest_lower_bound(X_30,X_11),greatest_lower_bound(X_11,X_30)) = greatest_lower_bound(X_30,X_11) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_11,greatest_lower_bound(X_30,X_11)),greatest_lower_bound(X_11,X_30)) )],[refute_0_1126,refute_0_1127]) ).
cnf(refute_0_1129,plain,
least_upper_bound(greatest_lower_bound(X_30,X_11),greatest_lower_bound(X_11,X_30)) = greatest_lower_bound(X_30,X_11),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_30,X_11),greatest_lower_bound(X_11,greatest_lower_bound(X_30,X_11))),greatest_lower_bound(X_30,X_11)) )],[refute_0_1125,refute_0_1128]) ).
cnf(refute_0_1130,plain,
( least_upper_bound(X_237,least_upper_bound(greatest_lower_bound(X_30,X_11),greatest_lower_bound(X_11,X_30))) != least_upper_bound(greatest_lower_bound(X_11,X_30),least_upper_bound(greatest_lower_bound(X_30,X_11),X_237))
| least_upper_bound(greatest_lower_bound(X_30,X_11),greatest_lower_bound(X_11,X_30)) != greatest_lower_bound(X_30,X_11)
| least_upper_bound(X_237,greatest_lower_bound(X_30,X_11)) = least_upper_bound(greatest_lower_bound(X_11,X_30),least_upper_bound(greatest_lower_bound(X_30,X_11),X_237)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_237,least_upper_bound(greatest_lower_bound(X_30,X_11),greatest_lower_bound(X_11,X_30))),least_upper_bound(greatest_lower_bound(X_11,X_30),least_upper_bound(greatest_lower_bound(X_30,X_11),X_237))) ),[0,1],$fot(greatest_lower_bound(X_30,X_11))]]) ).
cnf(refute_0_1131,plain,
( least_upper_bound(X_237,least_upper_bound(greatest_lower_bound(X_30,X_11),greatest_lower_bound(X_11,X_30))) != least_upper_bound(greatest_lower_bound(X_11,X_30),least_upper_bound(greatest_lower_bound(X_30,X_11),X_237))
| least_upper_bound(X_237,greatest_lower_bound(X_30,X_11)) = least_upper_bound(greatest_lower_bound(X_11,X_30),least_upper_bound(greatest_lower_bound(X_30,X_11),X_237)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_30,X_11),greatest_lower_bound(X_11,X_30)),greatest_lower_bound(X_30,X_11)) )],[refute_0_1129,refute_0_1130]) ).
cnf(refute_0_1132,plain,
least_upper_bound(X_237,greatest_lower_bound(X_30,X_11)) = least_upper_bound(greatest_lower_bound(X_11,X_30),least_upper_bound(greatest_lower_bound(X_30,X_11),X_237)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_237,least_upper_bound(greatest_lower_bound(X_30,X_11),greatest_lower_bound(X_11,X_30))),least_upper_bound(greatest_lower_bound(X_11,X_30),least_upper_bound(greatest_lower_bound(X_30,X_11),X_237))) )],[refute_0_1124,refute_0_1131]) ).
cnf(refute_0_1133,plain,
least_upper_bound(X,least_upper_bound(greatest_lower_bound(X_96,X_95),greatest_lower_bound(X_95,X_96))) = least_upper_bound(greatest_lower_bound(X_96,X_95),least_upper_bound(greatest_lower_bound(X_95,X_96),X)),
inference(subst,[],[refute_0_1038:[bind(X_36,$fot(greatest_lower_bound(X_96,X_95))),bind(X_37,$fot(greatest_lower_bound(X_95,X_96)))]]) ).
cnf(refute_0_1134,plain,
least_upper_bound(greatest_lower_bound(X_96,X_95),greatest_lower_bound(X_95,X_96)) = greatest_lower_bound(X_96,X_95),
inference(subst,[],[refute_0_1129:[bind(X_11,$fot(X_95)),bind(X_30,$fot(X_96))]]) ).
cnf(refute_0_1135,plain,
( least_upper_bound(X,least_upper_bound(greatest_lower_bound(X_96,X_95),greatest_lower_bound(X_95,X_96))) != least_upper_bound(greatest_lower_bound(X_96,X_95),least_upper_bound(greatest_lower_bound(X_95,X_96),X))
| least_upper_bound(greatest_lower_bound(X_96,X_95),greatest_lower_bound(X_95,X_96)) != greatest_lower_bound(X_96,X_95)
| least_upper_bound(X,greatest_lower_bound(X_96,X_95)) = least_upper_bound(greatest_lower_bound(X_96,X_95),least_upper_bound(greatest_lower_bound(X_95,X_96),X)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X,least_upper_bound(greatest_lower_bound(X_96,X_95),greatest_lower_bound(X_95,X_96))),least_upper_bound(greatest_lower_bound(X_96,X_95),least_upper_bound(greatest_lower_bound(X_95,X_96),X))) ),[0,1],$fot(greatest_lower_bound(X_96,X_95))]]) ).
cnf(refute_0_1136,plain,
( least_upper_bound(X,least_upper_bound(greatest_lower_bound(X_96,X_95),greatest_lower_bound(X_95,X_96))) != least_upper_bound(greatest_lower_bound(X_96,X_95),least_upper_bound(greatest_lower_bound(X_95,X_96),X))
| least_upper_bound(X,greatest_lower_bound(X_96,X_95)) = least_upper_bound(greatest_lower_bound(X_96,X_95),least_upper_bound(greatest_lower_bound(X_95,X_96),X)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_96,X_95),greatest_lower_bound(X_95,X_96)),greatest_lower_bound(X_96,X_95)) )],[refute_0_1134,refute_0_1135]) ).
cnf(refute_0_1137,plain,
least_upper_bound(X,greatest_lower_bound(X_96,X_95)) = least_upper_bound(greatest_lower_bound(X_96,X_95),least_upper_bound(greatest_lower_bound(X_95,X_96),X)),
inference(resolve,[$cnf( $equal(least_upper_bound(X,least_upper_bound(greatest_lower_bound(X_96,X_95),greatest_lower_bound(X_95,X_96))),least_upper_bound(greatest_lower_bound(X_96,X_95),least_upper_bound(greatest_lower_bound(X_95,X_96),X))) )],[refute_0_1133,refute_0_1136]) ).
cnf(refute_0_1138,plain,
( least_upper_bound(X,greatest_lower_bound(X_96,X_95)) != least_upper_bound(greatest_lower_bound(X_96,X_95),least_upper_bound(greatest_lower_bound(X_95,X_96),X))
| least_upper_bound(greatest_lower_bound(X_96,X_95),least_upper_bound(greatest_lower_bound(X_95,X_96),X)) = least_upper_bound(X,greatest_lower_bound(X_96,X_95)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X,greatest_lower_bound(X_96,X_95)))),bind(Y0,$fot(least_upper_bound(greatest_lower_bound(X_96,X_95),least_upper_bound(greatest_lower_bound(X_95,X_96),X))))]]) ).
cnf(refute_0_1139,plain,
least_upper_bound(greatest_lower_bound(X_96,X_95),least_upper_bound(greatest_lower_bound(X_95,X_96),X)) = least_upper_bound(X,greatest_lower_bound(X_96,X_95)),
inference(resolve,[$cnf( $equal(least_upper_bound(X,greatest_lower_bound(X_96,X_95)),least_upper_bound(greatest_lower_bound(X_96,X_95),least_upper_bound(greatest_lower_bound(X_95,X_96),X))) )],[refute_0_1137,refute_0_1138]) ).
cnf(refute_0_1140,plain,
least_upper_bound(greatest_lower_bound(X_11,X_30),least_upper_bound(greatest_lower_bound(X_30,X_11),X_237)) = least_upper_bound(X_237,greatest_lower_bound(X_11,X_30)),
inference(subst,[],[refute_0_1139:[bind(X,$fot(X_237)),bind(X_95,$fot(X_30)),bind(X_96,$fot(X_11))]]) ).
cnf(refute_0_1141,plain,
( least_upper_bound(X_237,greatest_lower_bound(X_30,X_11)) != least_upper_bound(greatest_lower_bound(X_11,X_30),least_upper_bound(greatest_lower_bound(X_30,X_11),X_237))
| least_upper_bound(greatest_lower_bound(X_11,X_30),least_upper_bound(greatest_lower_bound(X_30,X_11),X_237)) != least_upper_bound(X_237,greatest_lower_bound(X_11,X_30))
| least_upper_bound(X_237,greatest_lower_bound(X_30,X_11)) = least_upper_bound(X_237,greatest_lower_bound(X_11,X_30)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(X_237,greatest_lower_bound(X_30,X_11)),least_upper_bound(X_237,greatest_lower_bound(X_11,X_30))) ),[0],$fot(least_upper_bound(greatest_lower_bound(X_11,X_30),least_upper_bound(greatest_lower_bound(X_30,X_11),X_237)))]]) ).
cnf(refute_0_1142,plain,
( least_upper_bound(X_237,greatest_lower_bound(X_30,X_11)) != least_upper_bound(greatest_lower_bound(X_11,X_30),least_upper_bound(greatest_lower_bound(X_30,X_11),X_237))
| least_upper_bound(X_237,greatest_lower_bound(X_30,X_11)) = least_upper_bound(X_237,greatest_lower_bound(X_11,X_30)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_11,X_30),least_upper_bound(greatest_lower_bound(X_30,X_11),X_237)),least_upper_bound(X_237,greatest_lower_bound(X_11,X_30))) )],[refute_0_1140,refute_0_1141]) ).
cnf(refute_0_1143,plain,
least_upper_bound(X_237,greatest_lower_bound(X_30,X_11)) = least_upper_bound(X_237,greatest_lower_bound(X_11,X_30)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_237,greatest_lower_bound(X_30,X_11)),least_upper_bound(greatest_lower_bound(X_11,X_30),least_upper_bound(greatest_lower_bound(X_30,X_11),X_237))) )],[refute_0_1132,refute_0_1142]) ).
cnf(refute_0_1144,plain,
( least_upper_bound(X_237,greatest_lower_bound(X_30,X_11)) != least_upper_bound(X_237,greatest_lower_bound(X_11,X_30))
| least_upper_bound(X_237,greatest_lower_bound(X_11,X_30)) = least_upper_bound(X_237,greatest_lower_bound(X_30,X_11)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_237,greatest_lower_bound(X_30,X_11)))),bind(Y0,$fot(least_upper_bound(X_237,greatest_lower_bound(X_11,X_30))))]]) ).
cnf(refute_0_1145,plain,
least_upper_bound(X_237,greatest_lower_bound(X_11,X_30)) = least_upper_bound(X_237,greatest_lower_bound(X_30,X_11)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_237,greatest_lower_bound(X_30,X_11)),least_upper_bound(X_237,greatest_lower_bound(X_11,X_30))) )],[refute_0_1143,refute_0_1144]) ).
cnf(refute_0_1146,plain,
least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(inverse(X_318),identity)) = least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(identity,inverse(X_318))),
inference(subst,[],[refute_0_1145:[bind(X_11,$fot(inverse(X_318))),bind(X_237,$fot(greatest_lower_bound(identity,X_318))),bind(X_30,$fot(identity))]]) ).
cnf(refute_0_1147,plain,
( least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(identity,inverse(X_318))) != multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318))
| least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(inverse(X_318),identity)) != least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(identity,inverse(X_318)))
| least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(inverse(X_318),identity)) = multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(inverse(X_318),identity)))),bind(Y0,$fot(least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(identity,inverse(X_318))))),bind(Z0,$fot(multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318))))]]) ).
cnf(refute_0_1148,plain,
( least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(identity,inverse(X_318))) != multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318))
| least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(inverse(X_318),identity)) = multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(inverse(X_318),identity)),least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(identity,inverse(X_318)))) )],[refute_0_1146,refute_0_1147]) ).
cnf(refute_0_1149,plain,
least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(inverse(X_318),identity)) = multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(identity,inverse(X_318))),multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318))) )],[refute_0_1106,refute_0_1148]) ).
cnf(refute_0_1150,plain,
multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_317)),
inference(subst,[],[refute_0_1096:[bind(X_130,$fot(X_317)),bind(X_93,$fot(inverse(greatest_lower_bound(X_218,inverse(identity)))))]]) ).
cnf(refute_0_1151,plain,
identity = greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),
inference(subst,[],[refute_0_856:[bind(X_66,$fot(identity))]]) ).
cnf(refute_0_1152,plain,
( identity != greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity))))
| greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))) = identity ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(identity)),bind(Y0,$fot(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity))))))]]) ).
cnf(refute_0_1153,plain,
greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))) = identity,
inference(resolve,[$cnf( $equal(identity,greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity))))) )],[refute_0_1151,refute_0_1152]) ).
cnf(refute_0_1154,plain,
( multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) != least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_317))
| greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))) != identity
| multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))),least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_317))) ),[1,1,0],$fot(identity)]]) ).
cnf(refute_0_1155,plain,
( multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) != least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_317))
| multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),identity) )],[refute_0_1153,refute_0_1154]) ).
cnf(refute_0_1156,plain,
multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))),least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_317))) )],[refute_0_1150,refute_0_1155]) ).
cnf(refute_0_1157,plain,
multiply(identity,least_upper_bound(X_317,greatest_lower_bound(X_218,identity))) = least_upper_bound(X_317,greatest_lower_bound(X_218,identity)),
inference(subst,[],[left_identity:[bind(X,$fot(least_upper_bound(X_317,greatest_lower_bound(X_218,identity))))]]) ).
cnf(refute_0_1158,plain,
greatest_lower_bound(X_218,inverse(identity)) = greatest_lower_bound(X_218,inverse(identity)),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X_218,inverse(identity)))]]) ).
cnf(refute_0_1159,plain,
( greatest_lower_bound(X_218,inverse(identity)) != greatest_lower_bound(X_218,inverse(identity))
| inverse(identity) != identity
| greatest_lower_bound(X_218,inverse(identity)) = greatest_lower_bound(X_218,identity) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_218,inverse(identity)),greatest_lower_bound(X_218,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_1160,plain,
( inverse(identity) != identity
| greatest_lower_bound(X_218,inverse(identity)) = greatest_lower_bound(X_218,identity) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_218,inverse(identity)),greatest_lower_bound(X_218,inverse(identity))) )],[refute_0_1158,refute_0_1159]) ).
cnf(refute_0_1161,plain,
greatest_lower_bound(X_218,inverse(identity)) = greatest_lower_bound(X_218,identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[p20_1,refute_0_1160]) ).
cnf(refute_0_1162,plain,
inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))) = greatest_lower_bound(X_218,inverse(identity)),
inference(subst,[],[p20_2:[bind(X,$fot(greatest_lower_bound(X_218,inverse(identity))))]]) ).
cnf(refute_0_1163,plain,
( greatest_lower_bound(X_218,inverse(identity)) != greatest_lower_bound(X_218,identity)
| inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))) != greatest_lower_bound(X_218,inverse(identity))
| inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))) = greatest_lower_bound(X_218,identity) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))),bind(Y0,$fot(greatest_lower_bound(X_218,inverse(identity)))),bind(Z0,$fot(greatest_lower_bound(X_218,identity)))]]) ).
cnf(refute_0_1164,plain,
( greatest_lower_bound(X_218,inverse(identity)) != greatest_lower_bound(X_218,identity)
| inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))) = greatest_lower_bound(X_218,identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))),greatest_lower_bound(X_218,inverse(identity))) )],[refute_0_1162,refute_0_1163]) ).
cnf(refute_0_1165,plain,
inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))) = greatest_lower_bound(X_218,identity),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_218,inverse(identity)),greatest_lower_bound(X_218,identity)) )],[refute_0_1161,refute_0_1164]) ).
cnf(refute_0_1166,plain,
least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))) = least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),
introduced(tautology,[refl,[$fot(least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))]]) ).
cnf(refute_0_1167,plain,
( inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))) != greatest_lower_bound(X_218,identity)
| least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))) != least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))
| least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))) = least_upper_bound(X_317,greatest_lower_bound(X_218,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) ),[1,1],$fot(greatest_lower_bound(X_218,identity))]]) ).
cnf(refute_0_1168,plain,
( inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))) != greatest_lower_bound(X_218,identity)
| least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))) = least_upper_bound(X_317,greatest_lower_bound(X_218,identity)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) )],[refute_0_1166,refute_0_1167]) ).
cnf(refute_0_1169,plain,
least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))) = least_upper_bound(X_317,greatest_lower_bound(X_218,identity)),
inference(resolve,[$cnf( $equal(inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))),greatest_lower_bound(X_218,identity)) )],[refute_0_1165,refute_0_1168]) ).
cnf(refute_0_1170,plain,
multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))),
introduced(tautology,[refl,[$fot(multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))]]) ).
cnf(refute_0_1171,plain,
( multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) != multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))
| least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))) != least_upper_bound(X_317,greatest_lower_bound(X_218,identity))
| multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = multiply(identity,least_upper_bound(X_317,greatest_lower_bound(X_218,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))),multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))) ),[1,1],$fot(least_upper_bound(X_317,greatest_lower_bound(X_218,identity)))]]) ).
cnf(refute_0_1172,plain,
( least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))) != least_upper_bound(X_317,greatest_lower_bound(X_218,identity))
| multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = multiply(identity,least_upper_bound(X_317,greatest_lower_bound(X_218,identity))) ),
inference(resolve,[$cnf( $equal(multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))),multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))) )],[refute_0_1170,refute_0_1171]) ).
cnf(refute_0_1173,plain,
multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = multiply(identity,least_upper_bound(X_317,greatest_lower_bound(X_218,identity))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),least_upper_bound(X_317,greatest_lower_bound(X_218,identity))) )],[refute_0_1169,refute_0_1172]) ).
cnf(refute_0_1174,plain,
multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))),
introduced(tautology,[refl,[$fot(multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))]]) ).
cnf(refute_0_1175,plain,
( multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) != multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))
| greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))) != identity
| multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_1176,plain,
( greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))) != identity
| multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))) )],[refute_0_1174,refute_0_1175]) ).
cnf(refute_0_1177,plain,
multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),identity) )],[refute_0_1153,refute_0_1176]) ).
cnf(refute_0_1178,plain,
( multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) != multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))
| multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) != multiply(identity,least_upper_bound(X_317,greatest_lower_bound(X_218,identity)))
| multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = multiply(identity,least_upper_bound(X_317,greatest_lower_bound(X_218,identity))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))),bind(Y0,$fot(multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))),bind(Z0,$fot(multiply(identity,least_upper_bound(X_317,greatest_lower_bound(X_218,identity)))))]]) ).
cnf(refute_0_1179,plain,
( multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) != multiply(identity,least_upper_bound(X_317,greatest_lower_bound(X_218,identity)))
| multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = multiply(identity,least_upper_bound(X_317,greatest_lower_bound(X_218,identity))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))),multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))) )],[refute_0_1177,refute_0_1178]) ).
cnf(refute_0_1180,plain,
multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = multiply(identity,least_upper_bound(X_317,greatest_lower_bound(X_218,identity))),
inference(resolve,[$cnf( $equal(multiply(identity,least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))),multiply(identity,least_upper_bound(X_317,greatest_lower_bound(X_218,identity)))) )],[refute_0_1173,refute_0_1179]) ).
cnf(refute_0_1181,plain,
( multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) != multiply(identity,least_upper_bound(X_317,greatest_lower_bound(X_218,identity)))
| multiply(identity,least_upper_bound(X_317,greatest_lower_bound(X_218,identity))) != least_upper_bound(X_317,greatest_lower_bound(X_218,identity))
| multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = least_upper_bound(X_317,greatest_lower_bound(X_218,identity)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))),bind(Y0,$fot(multiply(identity,least_upper_bound(X_317,greatest_lower_bound(X_218,identity))))),bind(Z0,$fot(least_upper_bound(X_317,greatest_lower_bound(X_218,identity))))]]) ).
cnf(refute_0_1182,plain,
( multiply(identity,least_upper_bound(X_317,greatest_lower_bound(X_218,identity))) != least_upper_bound(X_317,greatest_lower_bound(X_218,identity))
| multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = least_upper_bound(X_317,greatest_lower_bound(X_218,identity)) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))),multiply(identity,least_upper_bound(X_317,greatest_lower_bound(X_218,identity)))) )],[refute_0_1180,refute_0_1181]) ).
cnf(refute_0_1183,plain,
multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = least_upper_bound(X_317,greatest_lower_bound(X_218,identity)),
inference(resolve,[$cnf( $equal(multiply(identity,least_upper_bound(X_317,greatest_lower_bound(X_218,identity))),least_upper_bound(X_317,greatest_lower_bound(X_218,identity))) )],[refute_0_1157,refute_0_1182]) ).
cnf(refute_0_1184,plain,
( multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) != least_upper_bound(X_317,greatest_lower_bound(X_218,identity))
| multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) != least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317))
| least_upper_bound(X_317,greatest_lower_bound(X_218,identity)) = least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))),least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317))) ),[0],$fot(least_upper_bound(X_317,greatest_lower_bound(X_218,identity)))]]) ).
cnf(refute_0_1185,plain,
( multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) != least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317))
| least_upper_bound(X_317,greatest_lower_bound(X_218,identity)) = least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))),least_upper_bound(X_317,greatest_lower_bound(X_218,identity))) )],[refute_0_1183,refute_0_1184]) ).
cnf(refute_0_1186,plain,
multiply(identity,X_317) = X_317,
inference(subst,[],[left_identity:[bind(X,$fot(X_317))]]) ).
cnf(refute_0_1187,plain,
least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317)) = least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317)),
introduced(tautology,[refl,[$fot(least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317)))]]) ).
cnf(refute_0_1188,plain,
( multiply(identity,X_317) != X_317
| least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317)) != least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317))
| least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317)) = least_upper_bound(greatest_lower_bound(identity,X_218),X_317) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317)),least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317))) ),[1,1],$fot(X_317)]]) ).
cnf(refute_0_1189,plain,
( multiply(identity,X_317) != X_317
| least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317)) = least_upper_bound(greatest_lower_bound(identity,X_218),X_317) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317)),least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317))) )],[refute_0_1187,refute_0_1188]) ).
cnf(refute_0_1190,plain,
least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317)) = least_upper_bound(greatest_lower_bound(identity,X_218),X_317),
inference(resolve,[$cnf( $equal(multiply(identity,X_317),X_317) )],[refute_0_1186,refute_0_1189]) ).
cnf(refute_0_1191,plain,
greatest_lower_bound(identity,greatest_lower_bound(X_218,identity)) = greatest_lower_bound(identity,X_218),
inference(subst,[],[refute_0_765:[bind(Y,$fot(X_218)),bind(X_19,$fot(identity))]]) ).
cnf(refute_0_1192,plain,
greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))) = greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))]]) ).
cnf(refute_0_1193,plain,
( greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))) != greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))
| inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))) != greatest_lower_bound(X_218,identity)
| greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))) = greatest_lower_bound(identity,greatest_lower_bound(X_218,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) ),[1,1],$fot(greatest_lower_bound(X_218,identity))]]) ).
cnf(refute_0_1194,plain,
( inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))) != greatest_lower_bound(X_218,identity)
| greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))) = greatest_lower_bound(identity,greatest_lower_bound(X_218,identity)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) )],[refute_0_1192,refute_0_1193]) ).
cnf(refute_0_1195,plain,
greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))) = greatest_lower_bound(identity,greatest_lower_bound(X_218,identity)),
inference(resolve,[$cnf( $equal(inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))),greatest_lower_bound(X_218,identity)) )],[refute_0_1165,refute_0_1194]) ).
cnf(refute_0_1196,plain,
( greatest_lower_bound(identity,greatest_lower_bound(X_218,identity)) != greatest_lower_bound(identity,X_218)
| greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))) != greatest_lower_bound(identity,greatest_lower_bound(X_218,identity))
| greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))) = greatest_lower_bound(identity,X_218) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))),bind(Y0,$fot(greatest_lower_bound(identity,greatest_lower_bound(X_218,identity)))),bind(Z0,$fot(greatest_lower_bound(identity,X_218)))]]) ).
cnf(refute_0_1197,plain,
( greatest_lower_bound(identity,greatest_lower_bound(X_218,identity)) != greatest_lower_bound(identity,X_218)
| greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))) = greatest_lower_bound(identity,X_218) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),greatest_lower_bound(identity,greatest_lower_bound(X_218,identity))) )],[refute_0_1195,refute_0_1196]) ).
cnf(refute_0_1198,plain,
greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))) = greatest_lower_bound(identity,X_218),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(X_218,identity)),greatest_lower_bound(identity,X_218)) )],[refute_0_1191,refute_0_1197]) ).
cnf(refute_0_1199,plain,
least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)) = least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)),
introduced(tautology,[refl,[$fot(least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)))]]) ).
cnf(refute_0_1200,plain,
( greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))) != greatest_lower_bound(identity,X_218)
| least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)) != least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317))
| least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)) = least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)),least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317))) ),[1,0],$fot(greatest_lower_bound(identity,X_218))]]) ).
cnf(refute_0_1201,plain,
( greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))) != greatest_lower_bound(identity,X_218)
| least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)) = least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)),least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317))) )],[refute_0_1199,refute_0_1200]) ).
cnf(refute_0_1202,plain,
least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)) = least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),greatest_lower_bound(identity,X_218)) )],[refute_0_1198,refute_0_1201]) ).
cnf(refute_0_1203,plain,
( least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317)) != least_upper_bound(greatest_lower_bound(identity,X_218),X_317)
| least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)) != least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317))
| least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)) = least_upper_bound(greatest_lower_bound(identity,X_218),X_317) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)))),bind(Y0,$fot(least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317)))),bind(Z0,$fot(least_upper_bound(greatest_lower_bound(identity,X_218),X_317)))]]) ).
cnf(refute_0_1204,plain,
( least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317)) != least_upper_bound(greatest_lower_bound(identity,X_218),X_317)
| least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)) = least_upper_bound(greatest_lower_bound(identity,X_218),X_317) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)),least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317))) )],[refute_0_1202,refute_0_1203]) ).
cnf(refute_0_1205,plain,
least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)) = least_upper_bound(greatest_lower_bound(identity,X_218),X_317),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,X_218),multiply(identity,X_317)),least_upper_bound(greatest_lower_bound(identity,X_218),X_317)) )],[refute_0_1190,refute_0_1204]) ).
cnf(refute_0_1206,plain,
( least_upper_bound(X_317,greatest_lower_bound(X_218,identity)) != least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317))
| least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)) != least_upper_bound(greatest_lower_bound(identity,X_218),X_317)
| least_upper_bound(X_317,greatest_lower_bound(X_218,identity)) = least_upper_bound(greatest_lower_bound(identity,X_218),X_317) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(X_317,greatest_lower_bound(X_218,identity)),least_upper_bound(greatest_lower_bound(identity,X_218),X_317)) ),[0],$fot(least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)))]]) ).
cnf(refute_0_1207,plain,
( least_upper_bound(X_317,greatest_lower_bound(X_218,identity)) != least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317))
| least_upper_bound(X_317,greatest_lower_bound(X_218,identity)) = least_upper_bound(greatest_lower_bound(identity,X_218),X_317) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317)),least_upper_bound(greatest_lower_bound(identity,X_218),X_317)) )],[refute_0_1205,refute_0_1206]) ).
cnf(refute_0_1208,plain,
( multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) != least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317))
| least_upper_bound(X_317,greatest_lower_bound(X_218,identity)) = least_upper_bound(greatest_lower_bound(identity,X_218),X_317) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_317,greatest_lower_bound(X_218,identity)),least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317))) )],[refute_0_1185,refute_0_1207]) ).
cnf(refute_0_1209,plain,
least_upper_bound(X_317,greatest_lower_bound(X_218,identity)) = least_upper_bound(greatest_lower_bound(identity,X_218),X_317),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_317,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))),least_upper_bound(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),multiply(identity,X_317))) )],[refute_0_1156,refute_0_1208]) ).
cnf(refute_0_1210,plain,
( least_upper_bound(X_317,greatest_lower_bound(X_218,identity)) != least_upper_bound(greatest_lower_bound(identity,X_218),X_317)
| least_upper_bound(greatest_lower_bound(identity,X_218),X_317) = least_upper_bound(X_317,greatest_lower_bound(X_218,identity)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_317,greatest_lower_bound(X_218,identity)))),bind(Y0,$fot(least_upper_bound(greatest_lower_bound(identity,X_218),X_317)))]]) ).
cnf(refute_0_1211,plain,
least_upper_bound(greatest_lower_bound(identity,X_218),X_317) = least_upper_bound(X_317,greatest_lower_bound(X_218,identity)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_317,greatest_lower_bound(X_218,identity)),least_upper_bound(greatest_lower_bound(identity,X_218),X_317)) )],[refute_0_1209,refute_0_1210]) ).
cnf(refute_0_1212,plain,
least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)) = least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(inverse(X_318),identity)),
inference(subst,[],[refute_0_1211:[bind(X_218,$fot(inverse(X_318))),bind(X_317,$fot(greatest_lower_bound(identity,X_318)))]]) ).
cnf(refute_0_1213,plain,
( least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(inverse(X_318),identity)) != multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318))
| least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)) != least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(inverse(X_318),identity))
| least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)) = multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)))),bind(Y0,$fot(least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(inverse(X_318),identity)))),bind(Z0,$fot(multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318))))]]) ).
cnf(refute_0_1214,plain,
( least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(inverse(X_318),identity)) != multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318))
| least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)) = multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)),least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(inverse(X_318),identity))) )],[refute_0_1212,refute_0_1213]) ).
cnf(refute_0_1215,plain,
least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)) = multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,X_318),greatest_lower_bound(inverse(X_318),identity)),multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318))) )],[refute_0_1149,refute_0_1214]) ).
cnf(refute_0_1216,plain,
( multiply(greatest_lower_bound(identity,X_318),least_upper_bound(identity,inverse(X_318))) != least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318))
| least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)) != multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318))
| multiply(greatest_lower_bound(identity,X_318),least_upper_bound(identity,inverse(X_318))) = multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(identity,inverse(X_318))),multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318))) ),[0],$fot(least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)))]]) ).
cnf(refute_0_1217,plain,
( multiply(greatest_lower_bound(identity,X_318),least_upper_bound(identity,inverse(X_318))) != least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318))
| multiply(greatest_lower_bound(identity,X_318),least_upper_bound(identity,inverse(X_318))) = multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)),multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318))) )],[refute_0_1215,refute_0_1216]) ).
cnf(refute_0_1218,plain,
multiply(greatest_lower_bound(identity,X_318),least_upper_bound(identity,inverse(X_318))) = multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(identity,inverse(X_318))),least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318))) )],[refute_0_1103,refute_0_1217]) ).
cnf(refute_0_1219,plain,
( multiply(greatest_lower_bound(identity,X_318),least_upper_bound(identity,inverse(X_318))) != multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318))
| multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)) = multiply(greatest_lower_bound(identity,X_318),least_upper_bound(identity,inverse(X_318))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(identity,inverse(X_318))))),bind(Y0,$fot(multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318))))]]) ).
cnf(refute_0_1220,plain,
multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318)) = multiply(greatest_lower_bound(identity,X_318),least_upper_bound(identity,inverse(X_318))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(identity,inverse(X_318))),multiply(least_upper_bound(identity,inverse(X_318)),greatest_lower_bound(identity,X_318))) )],[refute_0_1218,refute_0_1219]) ).
cnf(refute_0_1221,plain,
multiply(least_upper_bound(identity,inverse(X_75)),greatest_lower_bound(identity,X_75)) = multiply(greatest_lower_bound(identity,X_75),least_upper_bound(identity,inverse(X_75))),
inference(subst,[],[refute_0_1220:[bind(X_318,$fot(X_75))]]) ).
cnf(refute_0_1222,plain,
( multiply(least_upper_bound(identity,inverse(X_75)),greatest_lower_bound(identity,X_75)) != multiply(greatest_lower_bound(identity,X_75),least_upper_bound(identity,inverse(X_75)))
| multiply(least_upper_bound(identity,inverse(X_75)),greatest_lower_bound(identity,X_75)) != least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75)))
| multiply(greatest_lower_bound(identity,X_75),least_upper_bound(identity,inverse(X_75))) = least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(identity,inverse(X_75)),greatest_lower_bound(identity,X_75)),least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75)))) ),[0],$fot(multiply(greatest_lower_bound(identity,X_75),least_upper_bound(identity,inverse(X_75))))]]) ).
cnf(refute_0_1223,plain,
( multiply(least_upper_bound(identity,inverse(X_75)),greatest_lower_bound(identity,X_75)) != least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75)))
| multiply(greatest_lower_bound(identity,X_75),least_upper_bound(identity,inverse(X_75))) = least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,inverse(X_75)),greatest_lower_bound(identity,X_75)),multiply(greatest_lower_bound(identity,X_75),least_upper_bound(identity,inverse(X_75)))) )],[refute_0_1221,refute_0_1222]) ).
cnf(refute_0_1224,plain,
multiply(greatest_lower_bound(identity,X_75),least_upper_bound(identity,inverse(X_75))) = least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,inverse(X_75)),greatest_lower_bound(identity,X_75)),least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75)))) )],[refute_0_1088,refute_0_1223]) ).
cnf(refute_0_1225,plain,
( multiply(greatest_lower_bound(identity,X_75),least_upper_bound(identity,inverse(X_75))) != least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75)))
| least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75))) = multiply(greatest_lower_bound(identity,X_75),least_upper_bound(identity,inverse(X_75))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(identity,X_75),least_upper_bound(identity,inverse(X_75))))),bind(Y0,$fot(least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75)))))]]) ).
cnf(refute_0_1226,plain,
least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75))) = multiply(greatest_lower_bound(identity,X_75),least_upper_bound(identity,inverse(X_75))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_75),least_upper_bound(identity,inverse(X_75))),least_upper_bound(greatest_lower_bound(identity,X_75),greatest_lower_bound(identity,inverse(X_75)))) )],[refute_0_1224,refute_0_1225]) ).
cnf(refute_0_1227,plain,
least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X))) = multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X))),
inference(subst,[],[refute_0_1226:[bind(X_75,$fot(X))]]) ).
cnf(refute_0_1228,plain,
inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))) = inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),
introduced(tautology,[refl,[$fot(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))))]]) ).
cnf(refute_0_1229,plain,
( inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))) != inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X))))
| least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X))) != multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))
| inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))) = inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X))))) ),[1,0],$fot(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X))))]]) ).
cnf(refute_0_1230,plain,
( least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X))) != multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))
| inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))) = inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))) ),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X))))) )],[refute_0_1228,refute_0_1229]) ).
cnf(refute_0_1231,plain,
inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))) = inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X))),multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))) )],[refute_0_1227,refute_0_1230]) ).
cnf(refute_0_1232,plain,
multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) = multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))),
introduced(tautology,[refl,[$fot(multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))))]]) ).
cnf(refute_0_1233,plain,
( multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) != multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X)))
| inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))) != inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X))))
| multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) = multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))),multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X)))) ),[1,0],$fot(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))))]]) ).
cnf(refute_0_1234,plain,
( inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))) != inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X))))
| multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) = multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))),multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X)))) )],[refute_0_1232,refute_0_1233]) ).
cnf(refute_0_1235,plain,
multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) = multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X))))) )],[refute_0_1231,refute_0_1234]) ).
cnf(refute_0_1236,plain,
( multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) != multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X)))
| inverse(greatest_lower_bound(identity,X)) != multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X)))
| inverse(greatest_lower_bound(identity,X)) = multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(identity,X)),multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X)))) ),[1],$fot(multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))))]]) ).
cnf(refute_0_1237,plain,
( inverse(greatest_lower_bound(identity,X)) != multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X)))
| inverse(greatest_lower_bound(identity,X)) = multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))),multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X)))) )],[refute_0_1235,refute_0_1236]) ).
cnf(refute_0_1238,plain,
inverse(greatest_lower_bound(identity,X)) = multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,X)),multiply(inverse(least_upper_bound(greatest_lower_bound(identity,X),greatest_lower_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X)))) )],[refute_0_984,refute_0_1237]) ).
cnf(refute_0_1239,plain,
multiply(identity,least_upper_bound(identity,inverse(X))) = least_upper_bound(identity,inverse(X)),
inference(subst,[],[left_identity:[bind(X,$fot(least_upper_bound(identity,inverse(X))))]]) ).
cnf(refute_0_1240,plain,
multiply(inverse(greatest_lower_bound(X_11,X_134)),least_upper_bound(X_134,greatest_lower_bound(X_11,X_134))) = least_upper_bound(identity,multiply(inverse(greatest_lower_bound(X_11,X_134)),X_134)),
inference(subst,[],[refute_0_408:[bind(X_130,$fot(X_134)),bind(X_131,$fot(greatest_lower_bound(X_11,X_134)))]]) ).
cnf(refute_0_1241,plain,
least_upper_bound(X_134,greatest_lower_bound(X_11,X_134)) = X_134,
inference(subst,[],[refute_0_427:[bind(X_10,$fot(X_134))]]) ).
cnf(refute_0_1242,plain,
( multiply(inverse(greatest_lower_bound(X_11,X_134)),least_upper_bound(X_134,greatest_lower_bound(X_11,X_134))) != least_upper_bound(identity,multiply(inverse(greatest_lower_bound(X_11,X_134)),X_134))
| least_upper_bound(X_134,greatest_lower_bound(X_11,X_134)) != X_134
| multiply(inverse(greatest_lower_bound(X_11,X_134)),X_134) = least_upper_bound(identity,multiply(inverse(greatest_lower_bound(X_11,X_134)),X_134)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_11,X_134)),least_upper_bound(X_134,greatest_lower_bound(X_11,X_134))),least_upper_bound(identity,multiply(inverse(greatest_lower_bound(X_11,X_134)),X_134))) ),[0,1],$fot(X_134)]]) ).
cnf(refute_0_1243,plain,
( multiply(inverse(greatest_lower_bound(X_11,X_134)),least_upper_bound(X_134,greatest_lower_bound(X_11,X_134))) != least_upper_bound(identity,multiply(inverse(greatest_lower_bound(X_11,X_134)),X_134))
| multiply(inverse(greatest_lower_bound(X_11,X_134)),X_134) = least_upper_bound(identity,multiply(inverse(greatest_lower_bound(X_11,X_134)),X_134)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_134,greatest_lower_bound(X_11,X_134)),X_134) )],[refute_0_1241,refute_0_1242]) ).
cnf(refute_0_1244,plain,
multiply(inverse(greatest_lower_bound(X_11,X_134)),X_134) = least_upper_bound(identity,multiply(inverse(greatest_lower_bound(X_11,X_134)),X_134)),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_11,X_134)),least_upper_bound(X_134,greatest_lower_bound(X_11,X_134))),least_upper_bound(identity,multiply(inverse(greatest_lower_bound(X_11,X_134)),X_134))) )],[refute_0_1240,refute_0_1243]) ).
cnf(refute_0_1245,plain,
multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),
inference(subst,[],[refute_0_1244:[bind(X_11,$fot(identity)),bind(X_134,$fot(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))]]) ).
cnf(refute_0_1246,plain,
multiply(X_169,greatest_lower_bound(X_170,multiply(inverse(X_169),greatest_lower_bound(identity,X_169)))) = greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169)),
inference(subst,[],[refute_0_549:[bind(X_57,$fot(greatest_lower_bound(identity,X_169))),bind(X_66,$fot(X_169)),bind(X_67,$fot(X_170))]]) ).
cnf(refute_0_1247,plain,
multiply(inverse(X_169),greatest_lower_bound(identity,X_169)) = greatest_lower_bound(identity,inverse(X_169)),
inference(subst,[],[refute_0_55:[bind(X_75,$fot(X_169))]]) ).
cnf(refute_0_1248,plain,
( multiply(X_169,greatest_lower_bound(X_170,multiply(inverse(X_169),greatest_lower_bound(identity,X_169)))) != greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169))
| multiply(inverse(X_169),greatest_lower_bound(identity,X_169)) != greatest_lower_bound(identity,inverse(X_169))
| multiply(X_169,greatest_lower_bound(X_170,greatest_lower_bound(identity,inverse(X_169)))) = greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_169,greatest_lower_bound(X_170,multiply(inverse(X_169),greatest_lower_bound(identity,X_169)))),greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169))) ),[0,1,1],$fot(greatest_lower_bound(identity,inverse(X_169)))]]) ).
cnf(refute_0_1249,plain,
( multiply(X_169,greatest_lower_bound(X_170,multiply(inverse(X_169),greatest_lower_bound(identity,X_169)))) != greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169))
| multiply(X_169,greatest_lower_bound(X_170,greatest_lower_bound(identity,inverse(X_169)))) = greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_169),greatest_lower_bound(identity,X_169)),greatest_lower_bound(identity,inverse(X_169))) )],[refute_0_1247,refute_0_1248]) ).
cnf(refute_0_1250,plain,
multiply(X_169,greatest_lower_bound(X_170,greatest_lower_bound(identity,inverse(X_169)))) = greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169)),
inference(resolve,[$cnf( $equal(multiply(X_169,greatest_lower_bound(X_170,multiply(inverse(X_169),greatest_lower_bound(identity,X_169)))),greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169))) )],[refute_0_1246,refute_0_1249]) ).
cnf(refute_0_1251,plain,
multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_70,inverse(X)))) = greatest_lower_bound(multiply(X,Y),multiply(X,greatest_lower_bound(X_70,inverse(X)))),
inference(subst,[],[monotony_glb1:[bind(Z,$fot(greatest_lower_bound(X_70,inverse(X))))]]) ).
cnf(refute_0_1252,plain,
( multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_70,inverse(X)))) != greatest_lower_bound(multiply(X,Y),multiply(X,greatest_lower_bound(X_70,inverse(X))))
| multiply(X,greatest_lower_bound(X_70,inverse(X))) != greatest_lower_bound(identity,multiply(X,X_70))
| multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_70,inverse(X)))) = greatest_lower_bound(multiply(X,Y),greatest_lower_bound(identity,multiply(X,X_70))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_70,inverse(X)))),greatest_lower_bound(multiply(X,Y),multiply(X,greatest_lower_bound(X_70,inverse(X))))) ),[1,1],$fot(greatest_lower_bound(identity,multiply(X,X_70)))]]) ).
cnf(refute_0_1253,plain,
( multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_70,inverse(X)))) != greatest_lower_bound(multiply(X,Y),multiply(X,greatest_lower_bound(X_70,inverse(X))))
| multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_70,inverse(X)))) = greatest_lower_bound(multiply(X,Y),greatest_lower_bound(identity,multiply(X,X_70))) ),
inference(resolve,[$cnf( $equal(multiply(X,greatest_lower_bound(X_70,inverse(X))),greatest_lower_bound(identity,multiply(X,X_70))) )],[refute_0_563,refute_0_1252]) ).
cnf(refute_0_1254,plain,
multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_70,inverse(X)))) = greatest_lower_bound(multiply(X,Y),greatest_lower_bound(identity,multiply(X,X_70))),
inference(resolve,[$cnf( $equal(multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_70,inverse(X)))),greatest_lower_bound(multiply(X,Y),multiply(X,greatest_lower_bound(X_70,inverse(X))))) )],[refute_0_1251,refute_0_1253]) ).
cnf(refute_0_1255,plain,
greatest_lower_bound(multiply(X,Y),multiply(X,X_70)) = multiply(X,greatest_lower_bound(Y,X_70)),
inference(subst,[],[refute_0_244:[bind(Z,$fot(X_70))]]) ).
cnf(refute_0_1256,plain,
greatest_lower_bound(identity,greatest_lower_bound(multiply(X,Y),multiply(X,X_70))) = greatest_lower_bound(identity,greatest_lower_bound(multiply(X,Y),multiply(X,X_70))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(identity,greatest_lower_bound(multiply(X,Y),multiply(X,X_70))))]]) ).
cnf(refute_0_1257,plain,
( greatest_lower_bound(multiply(X,Y),multiply(X,X_70)) != multiply(X,greatest_lower_bound(Y,X_70))
| greatest_lower_bound(identity,greatest_lower_bound(multiply(X,Y),multiply(X,X_70))) != greatest_lower_bound(identity,greatest_lower_bound(multiply(X,Y),multiply(X,X_70)))
| greatest_lower_bound(identity,greatest_lower_bound(multiply(X,Y),multiply(X,X_70))) = greatest_lower_bound(identity,multiply(X,greatest_lower_bound(Y,X_70))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(multiply(X,Y),multiply(X,X_70))),greatest_lower_bound(identity,greatest_lower_bound(multiply(X,Y),multiply(X,X_70)))) ),[1,1],$fot(multiply(X,greatest_lower_bound(Y,X_70)))]]) ).
cnf(refute_0_1258,plain,
( greatest_lower_bound(multiply(X,Y),multiply(X,X_70)) != multiply(X,greatest_lower_bound(Y,X_70))
| greatest_lower_bound(identity,greatest_lower_bound(multiply(X,Y),multiply(X,X_70))) = greatest_lower_bound(identity,multiply(X,greatest_lower_bound(Y,X_70))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(multiply(X,Y),multiply(X,X_70))),greatest_lower_bound(identity,greatest_lower_bound(multiply(X,Y),multiply(X,X_70)))) )],[refute_0_1256,refute_0_1257]) ).
cnf(refute_0_1259,plain,
greatest_lower_bound(identity,greatest_lower_bound(multiply(X,Y),multiply(X,X_70))) = greatest_lower_bound(identity,multiply(X,greatest_lower_bound(Y,X_70))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X,Y),multiply(X,X_70)),multiply(X,greatest_lower_bound(Y,X_70))) )],[refute_0_1255,refute_0_1258]) ).
cnf(refute_0_1260,plain,
greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)) = greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(Y,X_43)),X_45),
inference(subst,[],[associativity_of_glb:[bind(X,$fot(X_43)),bind(Y,$fot(greatest_lower_bound(Y,X_43))),bind(Z,$fot(X_45))]]) ).
cnf(refute_0_1261,plain,
greatest_lower_bound(X_43,greatest_lower_bound(Y,X_43)) = greatest_lower_bound(X_43,Y),
inference(subst,[],[refute_0_765:[bind(X_19,$fot(X_43))]]) ).
cnf(refute_0_1262,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(Y,X_43)) != greatest_lower_bound(X_43,Y)
| greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)) != greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(Y,X_43)),X_45)
| greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)) = greatest_lower_bound(greatest_lower_bound(X_43,Y),X_45) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)),greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(Y,X_43)),X_45)) ),[1,0],$fot(greatest_lower_bound(X_43,Y))]]) ).
cnf(refute_0_1263,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)) != greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(Y,X_43)),X_45)
| greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)) = greatest_lower_bound(greatest_lower_bound(X_43,Y),X_45) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(Y,X_43)),greatest_lower_bound(X_43,Y)) )],[refute_0_1261,refute_0_1262]) ).
cnf(refute_0_1264,plain,
greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)) = greatest_lower_bound(greatest_lower_bound(X_43,Y),X_45),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)),greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(Y,X_43)),X_45)) )],[refute_0_1260,refute_0_1263]) ).
cnf(refute_0_1265,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(Y,X_44))) = greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44)),
inference(subst,[],[associativity_of_glb:[bind(X,$fot(X_43)),bind(Y,$fot(X_44)),bind(Z,$fot(greatest_lower_bound(Y,X_44)))]]) ).
cnf(refute_0_1266,plain,
greatest_lower_bound(X_44,greatest_lower_bound(Y,X_44)) = greatest_lower_bound(X_44,Y),
inference(subst,[],[refute_0_765:[bind(X_19,$fot(X_44))]]) ).
cnf(refute_0_1267,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(Y,X_44))) != greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44))
| greatest_lower_bound(X_44,greatest_lower_bound(Y,X_44)) != greatest_lower_bound(X_44,Y)
| greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)) = greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(Y,X_44))),greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44))) ),[0,1],$fot(greatest_lower_bound(X_44,Y))]]) ).
cnf(refute_0_1268,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(Y,X_44))) != greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44))
| greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)) = greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(Y,X_44)),greatest_lower_bound(X_44,Y)) )],[refute_0_1266,refute_0_1267]) ).
cnf(refute_0_1269,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)) = greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(Y,X_44))),greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44))) )],[refute_0_1265,refute_0_1268]) ).
cnf(refute_0_1270,plain,
greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)),
inference(subst,[],[refute_0_761:[bind(X,$fot(X_43)),bind(Y,$fot(X_44)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_1271,plain,
greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y)) = greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y)),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y)))]]) ).
cnf(refute_0_1272,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y)) != greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y))
| greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y) != greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y))
| greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y)) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y)),greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y))) ),[1,1],$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)))]]) ).
cnf(refute_0_1273,plain,
( greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y) != greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y))
| greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y)) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y)),greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y))) )],[refute_0_1271,refute_0_1272]) ).
cnf(refute_0_1274,plain,
greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y)) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y),greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y))) )],[refute_0_1270,refute_0_1273]) ).
cnf(refute_0_1275,plain,
greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(greatest_lower_bound(X_43,X_44),X),
inference(subst,[],[symmetry_of_glb:[bind(Y,$fot(greatest_lower_bound(X_43,X_44)))]]) ).
cnf(refute_0_1276,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_44,X)) = greatest_lower_bound(greatest_lower_bound(X_43,X_44),X),
inference(subst,[],[associativity_of_glb:[bind(X,$fot(X_43)),bind(Y,$fot(X_44)),bind(Z,$fot(X))]]) ).
cnf(refute_0_1277,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,X)) != greatest_lower_bound(greatest_lower_bound(X_43,X_44),X)
| greatest_lower_bound(greatest_lower_bound(X_43,X_44),X) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,X)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_44,X)))),bind(Y0,$fot(greatest_lower_bound(greatest_lower_bound(X_43,X_44),X)))]]) ).
cnf(refute_0_1278,plain,
greatest_lower_bound(greatest_lower_bound(X_43,X_44),X) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,X)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,X)),greatest_lower_bound(greatest_lower_bound(X_43,X_44),X)) )],[refute_0_1276,refute_0_1277]) ).
cnf(refute_0_1279,plain,
( greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) != greatest_lower_bound(greatest_lower_bound(X_43,X_44),X)
| greatest_lower_bound(greatest_lower_bound(X_43,X_44),X) != greatest_lower_bound(X_43,greatest_lower_bound(X_44,X))
| greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X))) ),[0],$fot(greatest_lower_bound(greatest_lower_bound(X_43,X_44),X))]]) ).
cnf(refute_0_1280,plain,
( greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) != greatest_lower_bound(greatest_lower_bound(X_43,X_44),X)
| greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,X)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_43,X_44),X),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X))) )],[refute_0_1278,refute_0_1279]) ).
cnf(refute_0_1281,plain,
greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,X)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)),greatest_lower_bound(greatest_lower_bound(X_43,X_44),X)) )],[refute_0_1275,refute_0_1280]) ).
cnf(refute_0_1282,plain,
( greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) != greatest_lower_bound(X_43,greatest_lower_bound(X_44,X))
| greatest_lower_bound(X_43,greatest_lower_bound(X_44,X)) = greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)))),bind(Y0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_44,X))))]]) ).
cnf(refute_0_1283,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_44,X)) = greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X))) )],[refute_0_1281,refute_0_1282]) ).
cnf(refute_0_1284,plain,
greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44)) = greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y)),
inference(subst,[],[refute_0_1283:[bind(X,$fot(X_44)),bind(X_43,$fot(greatest_lower_bound(X_43,X_44))),bind(X_44,$fot(Y))]]) ).
cnf(refute_0_1285,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y)) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)))
| greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44)) != greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y))
| greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44)) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44)))),bind(Y0,$fot(greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y)))),bind(Z0,$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)))))]]) ).
cnf(refute_0_1286,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y)) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)))
| greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44)) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44)),greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y))) )],[refute_0_1284,refute_0_1285]) ).
cnf(refute_0_1287,plain,
greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44)) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_43,X_44),Y)),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)))) )],[refute_0_1274,refute_0_1286]) ).
cnf(refute_0_1288,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)) != greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44))
| greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44)) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)))
| greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)))) ),[0],$fot(greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44)))]]) ).
cnf(refute_0_1289,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)) != greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44))
| greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44)),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)))) )],[refute_0_1287,refute_0_1288]) ).
cnf(refute_0_1290,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)),greatest_lower_bound(greatest_lower_bound(X_43,X_44),greatest_lower_bound(Y,X_44))) )],[refute_0_1269,refute_0_1289]) ).
cnf(refute_0_1291,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)))
| greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y))) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)))),bind(Y0,$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)))))]]) ).
cnf(refute_0_1292,plain,
greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y))) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,Y)))) )],[refute_0_1290,refute_0_1291]) ).
cnf(refute_0_1293,plain,
greatest_lower_bound(X_43,greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45))) = greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)),
inference(subst,[],[refute_0_1292:[bind(Y,$fot(X_45)),bind(X_43,$fot(Y)),bind(X_44,$fot(X_43))]]) ).
cnf(refute_0_1294,plain,
greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45) = greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)),
inference(subst,[],[refute_0_761:[bind(X,$fot(Y)),bind(Y,$fot(X_43)),bind(Z,$fot(X_45))]]) ).
cnf(refute_0_1295,plain,
greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)) = greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)))]]) ).
cnf(refute_0_1296,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)) != greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45))
| greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45) != greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45))
| greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)) = greatest_lower_bound(X_43,greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)),greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45))) ),[1,1],$fot(greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)))]]) ).
cnf(refute_0_1297,plain,
( greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45) != greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45))
| greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)) = greatest_lower_bound(X_43,greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)),greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45))) )],[refute_0_1295,refute_0_1296]) ).
cnf(refute_0_1298,plain,
greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)) = greatest_lower_bound(X_43,greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45),greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45))) )],[refute_0_1294,refute_0_1297]) ).
cnf(refute_0_1299,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45))) != greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45))
| greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)) != greatest_lower_bound(X_43,greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)))
| greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)) = greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)))),bind(Y0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45))))),bind(Z0,$fot(greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45))))]]) ).
cnf(refute_0_1300,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45))) != greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45))
| greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)) = greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)),greatest_lower_bound(X_43,greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)))) )],[refute_0_1298,refute_0_1299]) ).
cnf(refute_0_1301,plain,
greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)) = greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45))),greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45))) )],[refute_0_1293,refute_0_1300]) ).
cnf(refute_0_1302,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)) != greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45))
| greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)) != greatest_lower_bound(greatest_lower_bound(X_43,Y),X_45)
| greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)) = greatest_lower_bound(greatest_lower_bound(X_43,Y),X_45) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)),greatest_lower_bound(greatest_lower_bound(X_43,Y),X_45)) ),[0],$fot(greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)))]]) ).
cnf(refute_0_1303,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)) != greatest_lower_bound(greatest_lower_bound(X_43,Y),X_45)
| greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)) = greatest_lower_bound(greatest_lower_bound(X_43,Y),X_45) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)),greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45))) )],[refute_0_1301,refute_0_1302]) ).
cnf(refute_0_1304,plain,
greatest_lower_bound(greatest_lower_bound(X_43,Y),X_45) = greatest_lower_bound(X_43,greatest_lower_bound(Y,X_45)),
inference(subst,[],[refute_0_761:[bind(X,$fot(X_43)),bind(Z,$fot(X_45))]]) ).
cnf(refute_0_1305,plain,
( greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)) != greatest_lower_bound(greatest_lower_bound(X_43,Y),X_45)
| greatest_lower_bound(greatest_lower_bound(X_43,Y),X_45) != greatest_lower_bound(X_43,greatest_lower_bound(Y,X_45))
| greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)) = greatest_lower_bound(X_43,greatest_lower_bound(Y,X_45)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)),greatest_lower_bound(X_43,greatest_lower_bound(Y,X_45))) ),[0],$fot(greatest_lower_bound(greatest_lower_bound(X_43,Y),X_45))]]) ).
cnf(refute_0_1306,plain,
( greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)) != greatest_lower_bound(greatest_lower_bound(X_43,Y),X_45)
| greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)) = greatest_lower_bound(X_43,greatest_lower_bound(Y,X_45)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_43,Y),X_45),greatest_lower_bound(X_43,greatest_lower_bound(Y,X_45))) )],[refute_0_1304,refute_0_1305]) ).
cnf(refute_0_1307,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)) != greatest_lower_bound(greatest_lower_bound(X_43,Y),X_45)
| greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)) = greatest_lower_bound(X_43,greatest_lower_bound(Y,X_45)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)),greatest_lower_bound(greatest_lower_bound(X_43,Y),X_45)) )],[refute_0_1303,refute_0_1306]) ).
cnf(refute_0_1308,plain,
greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)) = greatest_lower_bound(X_43,greatest_lower_bound(Y,X_45)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(Y,X_43),X_45)),greatest_lower_bound(greatest_lower_bound(X_43,Y),X_45)) )],[refute_0_1264,refute_0_1307]) ).
cnf(refute_0_1309,plain,
( greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)) != greatest_lower_bound(X_43,greatest_lower_bound(Y,X_45))
| greatest_lower_bound(X_43,greatest_lower_bound(Y,X_45)) = greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)))),bind(Y0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(Y,X_45))))]]) ).
cnf(refute_0_1310,plain,
greatest_lower_bound(X_43,greatest_lower_bound(Y,X_45)) = greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(X_43,X_45)),greatest_lower_bound(X_43,greatest_lower_bound(Y,X_45))) )],[refute_0_1308,refute_0_1309]) ).
cnf(refute_0_1311,plain,
greatest_lower_bound(multiply(X,Y),greatest_lower_bound(identity,multiply(X,X_70))) = greatest_lower_bound(identity,greatest_lower_bound(multiply(X,Y),multiply(X,X_70))),
inference(subst,[],[refute_0_1310:[bind(Y,$fot(identity)),bind(X_43,$fot(multiply(X,Y))),bind(X_45,$fot(multiply(X,X_70)))]]) ).
cnf(refute_0_1312,plain,
( greatest_lower_bound(multiply(X,Y),greatest_lower_bound(identity,multiply(X,X_70))) != greatest_lower_bound(identity,greatest_lower_bound(multiply(X,Y),multiply(X,X_70)))
| greatest_lower_bound(identity,greatest_lower_bound(multiply(X,Y),multiply(X,X_70))) != greatest_lower_bound(identity,multiply(X,greatest_lower_bound(Y,X_70)))
| greatest_lower_bound(multiply(X,Y),greatest_lower_bound(identity,multiply(X,X_70))) = greatest_lower_bound(identity,multiply(X,greatest_lower_bound(Y,X_70))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(multiply(X,Y),greatest_lower_bound(identity,multiply(X,X_70))))),bind(Y0,$fot(greatest_lower_bound(identity,greatest_lower_bound(multiply(X,Y),multiply(X,X_70))))),bind(Z0,$fot(greatest_lower_bound(identity,multiply(X,greatest_lower_bound(Y,X_70)))))]]) ).
cnf(refute_0_1313,plain,
( greatest_lower_bound(identity,greatest_lower_bound(multiply(X,Y),multiply(X,X_70))) != greatest_lower_bound(identity,multiply(X,greatest_lower_bound(Y,X_70)))
| greatest_lower_bound(multiply(X,Y),greatest_lower_bound(identity,multiply(X,X_70))) = greatest_lower_bound(identity,multiply(X,greatest_lower_bound(Y,X_70))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X,Y),greatest_lower_bound(identity,multiply(X,X_70))),greatest_lower_bound(identity,greatest_lower_bound(multiply(X,Y),multiply(X,X_70)))) )],[refute_0_1311,refute_0_1312]) ).
cnf(refute_0_1314,plain,
greatest_lower_bound(multiply(X,Y),greatest_lower_bound(identity,multiply(X,X_70))) = greatest_lower_bound(identity,multiply(X,greatest_lower_bound(Y,X_70))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(multiply(X,Y),multiply(X,X_70))),greatest_lower_bound(identity,multiply(X,greatest_lower_bound(Y,X_70)))) )],[refute_0_1259,refute_0_1313]) ).
cnf(refute_0_1315,plain,
( multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_70,inverse(X)))) != greatest_lower_bound(multiply(X,Y),greatest_lower_bound(identity,multiply(X,X_70)))
| greatest_lower_bound(multiply(X,Y),greatest_lower_bound(identity,multiply(X,X_70))) != greatest_lower_bound(identity,multiply(X,greatest_lower_bound(Y,X_70)))
| multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_70,inverse(X)))) = greatest_lower_bound(identity,multiply(X,greatest_lower_bound(Y,X_70))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_70,inverse(X)))),greatest_lower_bound(identity,multiply(X,greatest_lower_bound(Y,X_70)))) ),[0],$fot(greatest_lower_bound(multiply(X,Y),greatest_lower_bound(identity,multiply(X,X_70))))]]) ).
cnf(refute_0_1316,plain,
( multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_70,inverse(X)))) != greatest_lower_bound(multiply(X,Y),greatest_lower_bound(identity,multiply(X,X_70)))
| multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_70,inverse(X)))) = greatest_lower_bound(identity,multiply(X,greatest_lower_bound(Y,X_70))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X,Y),greatest_lower_bound(identity,multiply(X,X_70))),greatest_lower_bound(identity,multiply(X,greatest_lower_bound(Y,X_70)))) )],[refute_0_1314,refute_0_1315]) ).
cnf(refute_0_1317,plain,
multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_70,inverse(X)))) = greatest_lower_bound(identity,multiply(X,greatest_lower_bound(Y,X_70))),
inference(resolve,[$cnf( $equal(multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_70,inverse(X)))),greatest_lower_bound(multiply(X,Y),greatest_lower_bound(identity,multiply(X,X_70)))) )],[refute_0_1254,refute_0_1316]) ).
cnf(refute_0_1318,plain,
multiply(X_169,greatest_lower_bound(X_170,greatest_lower_bound(identity,inverse(X_169)))) = greatest_lower_bound(identity,multiply(X_169,greatest_lower_bound(X_170,identity))),
inference(subst,[],[refute_0_1317:[bind(X,$fot(X_169)),bind(Y,$fot(X_170)),bind(X_70,$fot(identity))]]) ).
cnf(refute_0_1319,plain,
( multiply(X_169,greatest_lower_bound(X_170,greatest_lower_bound(identity,inverse(X_169)))) != greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169))
| multiply(X_169,greatest_lower_bound(X_170,greatest_lower_bound(identity,inverse(X_169)))) != greatest_lower_bound(identity,multiply(X_169,greatest_lower_bound(X_170,identity)))
| greatest_lower_bound(identity,multiply(X_169,greatest_lower_bound(X_170,identity))) = greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_169,greatest_lower_bound(X_170,greatest_lower_bound(identity,inverse(X_169)))),greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169))) ),[0],$fot(greatest_lower_bound(identity,multiply(X_169,greatest_lower_bound(X_170,identity))))]]) ).
cnf(refute_0_1320,plain,
( multiply(X_169,greatest_lower_bound(X_170,greatest_lower_bound(identity,inverse(X_169)))) != greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169))
| greatest_lower_bound(identity,multiply(X_169,greatest_lower_bound(X_170,identity))) = greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169)) ),
inference(resolve,[$cnf( $equal(multiply(X_169,greatest_lower_bound(X_170,greatest_lower_bound(identity,inverse(X_169)))),greatest_lower_bound(identity,multiply(X_169,greatest_lower_bound(X_170,identity)))) )],[refute_0_1318,refute_0_1319]) ).
cnf(refute_0_1321,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_44,X)) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,X)),
inference(subst,[],[refute_0_1308:[bind(Y,$fot(X_43)),bind(X_43,$fot(X_44)),bind(X_45,$fot(X))]]) ).
cnf(refute_0_1322,plain,
( greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) != greatest_lower_bound(X_43,greatest_lower_bound(X_44,X))
| greatest_lower_bound(X_43,greatest_lower_bound(X_44,X)) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,X))
| greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)),greatest_lower_bound(X_44,greatest_lower_bound(X_43,X))) ),[0],$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_44,X)))]]) ).
cnf(refute_0_1323,plain,
( greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) != greatest_lower_bound(X_43,greatest_lower_bound(X_44,X))
| greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,X)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,X)),greatest_lower_bound(X_44,greatest_lower_bound(X_43,X))) )],[refute_0_1321,refute_0_1322]) ).
cnf(refute_0_1324,plain,
greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,X)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X))) )],[refute_0_1281,refute_0_1323]) ).
cnf(refute_0_1325,plain,
( greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,X))
| greatest_lower_bound(X_44,greatest_lower_bound(X_43,X)) = greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)))),bind(Y0,$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_43,X))))]]) ).
cnf(refute_0_1326,plain,
greatest_lower_bound(X_44,greatest_lower_bound(X_43,X)) = greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)),greatest_lower_bound(X_44,greatest_lower_bound(X_43,X))) )],[refute_0_1324,refute_0_1325]) ).
cnf(refute_0_1327,plain,
greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169)) = greatest_lower_bound(X_169,greatest_lower_bound(identity,multiply(X_169,X_170))),
inference(subst,[],[refute_0_1326:[bind(X,$fot(X_169)),bind(X_43,$fot(identity)),bind(X_44,$fot(multiply(X_169,X_170)))]]) ).
cnf(refute_0_1328,plain,
( greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169)) != greatest_lower_bound(X_169,greatest_lower_bound(identity,multiply(X_169,X_170)))
| greatest_lower_bound(identity,multiply(X_169,greatest_lower_bound(X_170,identity))) != greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169))
| greatest_lower_bound(identity,multiply(X_169,greatest_lower_bound(X_170,identity))) = greatest_lower_bound(X_169,greatest_lower_bound(identity,multiply(X_169,X_170))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(identity,multiply(X_169,greatest_lower_bound(X_170,identity))),greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169))) ),[1],$fot(greatest_lower_bound(X_169,greatest_lower_bound(identity,multiply(X_169,X_170))))]]) ).
cnf(refute_0_1329,plain,
( greatest_lower_bound(identity,multiply(X_169,greatest_lower_bound(X_170,identity))) != greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169))
| greatest_lower_bound(identity,multiply(X_169,greatest_lower_bound(X_170,identity))) = greatest_lower_bound(X_169,greatest_lower_bound(identity,multiply(X_169,X_170))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169)),greatest_lower_bound(X_169,greatest_lower_bound(identity,multiply(X_169,X_170)))) )],[refute_0_1327,refute_0_1328]) ).
cnf(refute_0_1330,plain,
( multiply(X_169,greatest_lower_bound(X_170,greatest_lower_bound(identity,inverse(X_169)))) != greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169))
| greatest_lower_bound(identity,multiply(X_169,greatest_lower_bound(X_170,identity))) = greatest_lower_bound(X_169,greatest_lower_bound(identity,multiply(X_169,X_170))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(X_169,greatest_lower_bound(X_170,identity))),greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169))) )],[refute_0_1320,refute_0_1329]) ).
cnf(refute_0_1331,plain,
greatest_lower_bound(identity,multiply(X_169,greatest_lower_bound(X_170,identity))) = greatest_lower_bound(X_169,greatest_lower_bound(identity,multiply(X_169,X_170))),
inference(resolve,[$cnf( $equal(multiply(X_169,greatest_lower_bound(X_170,greatest_lower_bound(identity,inverse(X_169)))),greatest_lower_bound(multiply(X_169,X_170),greatest_lower_bound(identity,X_169))) )],[refute_0_1250,refute_0_1330]) ).
cnf(refute_0_1332,plain,
greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))) = greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),inverse(X_146)))),
inference(subst,[],[refute_0_1331:[bind(X_169,$fot(least_upper_bound(identity,X_146))),bind(X_170,$fot(inverse(X_146)))]]) ).
cnf(refute_0_1333,plain,
( multiply(least_upper_bound(identity,X_146),inverse(X_146)) != least_upper_bound(identity,inverse(X_146))
| greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))) != greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),inverse(X_146))))
| greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))) = greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))),greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),inverse(X_146))))) ),[1,1,1],$fot(least_upper_bound(identity,inverse(X_146)))]]) ).
cnf(refute_0_1334,plain,
( greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))) != greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),inverse(X_146))))
| greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))) = greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146)))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,X_146),inverse(X_146)),least_upper_bound(identity,inverse(X_146))) )],[refute_0_599,refute_0_1333]) ).
cnf(refute_0_1335,plain,
greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))) = greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))),greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),inverse(X_146))))) )],[refute_0_1332,refute_0_1334]) ).
cnf(refute_0_1336,plain,
multiply(greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136))))),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) = greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))),
inference(subst,[],[refute_0_582:[bind(X_169,$fot(least_upper_bound(identity,X_136))),bind(X_85,$fot(inverse(least_upper_bound(identity,inverse(X_136)))))]]) ).
cnf(refute_0_1337,plain,
inverse(inverse(X_136)) = multiply(least_upper_bound(identity,X_136),inverse(multiply(inverse(X_136),least_upper_bound(identity,X_136)))),
inference(subst,[],[refute_0_386:[bind(X,$fot(inverse(X_136))),bind(Y,$fot(least_upper_bound(identity,X_136)))]]) ).
cnf(refute_0_1338,plain,
multiply(inverse(X_136),least_upper_bound(identity,X_136)) = least_upper_bound(identity,inverse(X_136)),
inference(subst,[],[refute_0_416:[bind(X_135,$fot(X_136))]]) ).
cnf(refute_0_1339,plain,
( multiply(inverse(X_136),least_upper_bound(identity,X_136)) != least_upper_bound(identity,inverse(X_136))
| inverse(inverse(X_136)) != multiply(least_upper_bound(identity,X_136),inverse(multiply(inverse(X_136),least_upper_bound(identity,X_136))))
| inverse(inverse(X_136)) = multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_136)),multiply(least_upper_bound(identity,X_136),inverse(multiply(inverse(X_136),least_upper_bound(identity,X_136))))) ),[1,1,0],$fot(least_upper_bound(identity,inverse(X_136)))]]) ).
cnf(refute_0_1340,plain,
( inverse(inverse(X_136)) != multiply(least_upper_bound(identity,X_136),inverse(multiply(inverse(X_136),least_upper_bound(identity,X_136))))
| inverse(inverse(X_136)) = multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_136),least_upper_bound(identity,X_136)),least_upper_bound(identity,inverse(X_136))) )],[refute_0_1338,refute_0_1339]) ).
cnf(refute_0_1341,plain,
inverse(inverse(X_136)) = multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136)))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_136)),multiply(least_upper_bound(identity,X_136),inverse(multiply(inverse(X_136),least_upper_bound(identity,X_136))))) )],[refute_0_1337,refute_0_1340]) ).
cnf(refute_0_1342,plain,
inverse(inverse(X_136)) = X_136,
inference(subst,[],[p20_2:[bind(X,$fot(X_136))]]) ).
cnf(refute_0_1343,plain,
( inverse(inverse(X_136)) != X_136
| inverse(inverse(X_136)) != multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136))))
| X_136 = multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_136)),multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136))))) ),[0],$fot(X_136)]]) ).
cnf(refute_0_1344,plain,
( inverse(inverse(X_136)) != multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136))))
| X_136 = multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_136)),X_136) )],[refute_0_1342,refute_0_1343]) ).
cnf(refute_0_1345,plain,
X_136 = multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136)))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_136)),multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136))))) )],[refute_0_1341,refute_0_1344]) ).
cnf(refute_0_1346,plain,
( X_136 != multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136))))
| multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136)))) = X_136 ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(X_136)),bind(Y0,$fot(multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136))))))]]) ).
cnf(refute_0_1347,plain,
multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136)))) = X_136,
inference(resolve,[$cnf( $equal(X_136,multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136))))) )],[refute_0_1345,refute_0_1346]) ).
cnf(refute_0_1348,plain,
( multiply(greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136))))),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) != greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136)))))
| multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136)))) != X_136
| multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) = greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136))))),inverse(inverse(least_upper_bound(identity,inverse(X_136))))),greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136)))))) ),[0,0,1],$fot(X_136)]]) ).
cnf(refute_0_1349,plain,
( multiply(greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136))))),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) != greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136)))))
| multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) = greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136)))),X_136) )],[refute_0_1347,refute_0_1348]) ).
cnf(refute_0_1350,plain,
multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) = greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_136),inverse(least_upper_bound(identity,inverse(X_136))))),inverse(inverse(least_upper_bound(identity,inverse(X_136))))),greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136)))))) )],[refute_0_1336,refute_0_1349]) ).
cnf(refute_0_1351,plain,
inverse(inverse(least_upper_bound(identity,inverse(X_136)))) = least_upper_bound(identity,inverse(X_136)),
inference(subst,[],[p20_2:[bind(X,$fot(least_upper_bound(identity,inverse(X_136))))]]) ).
cnf(refute_0_1352,plain,
multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) = multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))),
introduced(tautology,[refl,[$fot(multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))))]]) ).
cnf(refute_0_1353,plain,
( multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) != multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136)))))
| inverse(inverse(least_upper_bound(identity,inverse(X_136)))) != least_upper_bound(identity,inverse(X_136))
| multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) = multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))),multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136)))))) ),[1,1],$fot(least_upper_bound(identity,inverse(X_136)))]]) ).
cnf(refute_0_1354,plain,
( inverse(inverse(least_upper_bound(identity,inverse(X_136)))) != least_upper_bound(identity,inverse(X_136))
| multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) = multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))),multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136)))))) )],[refute_0_1352,refute_0_1353]) ).
cnf(refute_0_1355,plain,
multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) = multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))),
inference(resolve,[$cnf( $equal(inverse(inverse(least_upper_bound(identity,inverse(X_136)))),least_upper_bound(identity,inverse(X_136))) )],[refute_0_1351,refute_0_1354]) ).
cnf(refute_0_1356,plain,
( multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) != multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136)))
| multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) != greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136)))))
| multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))) = greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))),greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136)))))) ),[0],$fot(multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))))]]) ).
cnf(refute_0_1357,plain,
( multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) != greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136)))))
| multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))) = greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))),multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136)))) )],[refute_0_1355,refute_0_1356]) ).
cnf(refute_0_1358,plain,
multiply(least_upper_bound(identity,X_147),greatest_lower_bound(inverse(X_147),identity)) = greatest_lower_bound(least_upper_bound(identity,X_147),multiply(least_upper_bound(identity,X_147),inverse(X_147))),
inference(subst,[],[refute_0_34:[bind(X_66,$fot(least_upper_bound(identity,X_147))),bind(X_67,$fot(inverse(X_147)))]]) ).
cnf(refute_0_1359,plain,
multiply(least_upper_bound(identity,X_147),inverse(X_147)) = least_upper_bound(identity,inverse(X_147)),
inference(subst,[],[refute_0_599:[bind(X_146,$fot(X_147))]]) ).
cnf(refute_0_1360,plain,
( multiply(least_upper_bound(identity,X_147),greatest_lower_bound(inverse(X_147),identity)) != greatest_lower_bound(least_upper_bound(identity,X_147),multiply(least_upper_bound(identity,X_147),inverse(X_147)))
| multiply(least_upper_bound(identity,X_147),inverse(X_147)) != least_upper_bound(identity,inverse(X_147))
| multiply(least_upper_bound(identity,X_147),greatest_lower_bound(inverse(X_147),identity)) = greatest_lower_bound(least_upper_bound(identity,X_147),least_upper_bound(identity,inverse(X_147))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(identity,X_147),greatest_lower_bound(inverse(X_147),identity)),greatest_lower_bound(least_upper_bound(identity,X_147),multiply(least_upper_bound(identity,X_147),inverse(X_147)))) ),[1,1],$fot(least_upper_bound(identity,inverse(X_147)))]]) ).
cnf(refute_0_1361,plain,
( multiply(least_upper_bound(identity,X_147),greatest_lower_bound(inverse(X_147),identity)) != greatest_lower_bound(least_upper_bound(identity,X_147),multiply(least_upper_bound(identity,X_147),inverse(X_147)))
| multiply(least_upper_bound(identity,X_147),greatest_lower_bound(inverse(X_147),identity)) = greatest_lower_bound(least_upper_bound(identity,X_147),least_upper_bound(identity,inverse(X_147))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,X_147),inverse(X_147)),least_upper_bound(identity,inverse(X_147))) )],[refute_0_1359,refute_0_1360]) ).
cnf(refute_0_1362,plain,
multiply(least_upper_bound(identity,X_147),greatest_lower_bound(inverse(X_147),identity)) = greatest_lower_bound(least_upper_bound(identity,X_147),least_upper_bound(identity,inverse(X_147))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,X_147),greatest_lower_bound(inverse(X_147),identity)),greatest_lower_bound(least_upper_bound(identity,X_147),multiply(least_upper_bound(identity,X_147),inverse(X_147)))) )],[refute_0_1358,refute_0_1361]) ).
cnf(refute_0_1363,plain,
greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_31,X_111))) = greatest_lower_bound(X_31,multiply(X_31,X_111)),
inference(subst,[],[refute_0_772:[bind(X_30,$fot(multiply(X_31,X_111)))]]) ).
cnf(refute_0_1364,plain,
multiply(X_31,greatest_lower_bound(X_111,identity)) = greatest_lower_bound(X_31,multiply(X_31,X_111)),
inference(subst,[],[refute_0_34:[bind(X_66,$fot(X_31)),bind(X_67,$fot(X_111))]]) ).
cnf(refute_0_1365,plain,
( multiply(X_31,greatest_lower_bound(X_111,identity)) != greatest_lower_bound(X_31,multiply(X_31,X_111))
| greatest_lower_bound(X_31,multiply(X_31,X_111)) = multiply(X_31,greatest_lower_bound(X_111,identity)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(X_31,greatest_lower_bound(X_111,identity)))),bind(Y0,$fot(greatest_lower_bound(X_31,multiply(X_31,X_111))))]]) ).
cnf(refute_0_1366,plain,
greatest_lower_bound(X_31,multiply(X_31,X_111)) = multiply(X_31,greatest_lower_bound(X_111,identity)),
inference(resolve,[$cnf( $equal(multiply(X_31,greatest_lower_bound(X_111,identity)),greatest_lower_bound(X_31,multiply(X_31,X_111))) )],[refute_0_1364,refute_0_1365]) ).
cnf(refute_0_1367,plain,
( greatest_lower_bound(X_31,multiply(X_31,X_111)) != multiply(X_31,greatest_lower_bound(X_111,identity))
| greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_31,X_111))) != greatest_lower_bound(X_31,multiply(X_31,X_111))
| greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))) = greatest_lower_bound(X_31,multiply(X_31,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_31,X_111))),greatest_lower_bound(X_31,multiply(X_31,X_111))) ),[0,1],$fot(multiply(X_31,greatest_lower_bound(X_111,identity)))]]) ).
cnf(refute_0_1368,plain,
( greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_31,X_111))) != greatest_lower_bound(X_31,multiply(X_31,X_111))
| greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))) = greatest_lower_bound(X_31,multiply(X_31,X_111)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_31,multiply(X_31,X_111)),multiply(X_31,greatest_lower_bound(X_111,identity))) )],[refute_0_1366,refute_0_1367]) ).
cnf(refute_0_1369,plain,
greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))) = greatest_lower_bound(X_31,multiply(X_31,X_111)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_31,X_111))),greatest_lower_bound(X_31,multiply(X_31,X_111))) )],[refute_0_1363,refute_0_1368]) ).
cnf(refute_0_1370,plain,
greatest_lower_bound(identity,greatest_lower_bound(X_111,identity)) = greatest_lower_bound(identity,X_111),
inference(subst,[],[refute_0_765:[bind(Y,$fot(X_111)),bind(X_19,$fot(identity))]]) ).
cnf(refute_0_1371,plain,
multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity))) = multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity))),
introduced(tautology,[refl,[$fot(multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity))))]]) ).
cnf(refute_0_1372,plain,
( multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity))) != multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity)))
| greatest_lower_bound(identity,greatest_lower_bound(X_111,identity)) != greatest_lower_bound(identity,X_111)
| multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity))) = multiply(X_31,greatest_lower_bound(identity,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity))),multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity)))) ),[1,1],$fot(greatest_lower_bound(identity,X_111))]]) ).
cnf(refute_0_1373,plain,
( greatest_lower_bound(identity,greatest_lower_bound(X_111,identity)) != greatest_lower_bound(identity,X_111)
| multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity))) = multiply(X_31,greatest_lower_bound(identity,X_111)) ),
inference(resolve,[$cnf( $equal(multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity))),multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity)))) )],[refute_0_1371,refute_0_1372]) ).
cnf(refute_0_1374,plain,
multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity))) = multiply(X_31,greatest_lower_bound(identity,X_111)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(X_111,identity)),greatest_lower_bound(identity,X_111)) )],[refute_0_1370,refute_0_1373]) ).
cnf(refute_0_1375,plain,
least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),greatest_lower_bound(multiply(X,Y),multiply(X,Z))) = greatest_lower_bound(multiply(X,Z),multiply(X,Y)),
inference(subst,[],[refute_0_1129:[bind(X_11,$fot(multiply(X,Y))),bind(X_30,$fot(multiply(X,Z)))]]) ).
cnf(refute_0_1376,plain,
( greatest_lower_bound(multiply(X,Y),multiply(X,Z)) != multiply(X,greatest_lower_bound(Y,Z))
| least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),greatest_lower_bound(multiply(X,Y),multiply(X,Z))) != greatest_lower_bound(multiply(X,Z),multiply(X,Y))
| least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),multiply(X,greatest_lower_bound(Y,Z))) = greatest_lower_bound(multiply(X,Z),multiply(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),greatest_lower_bound(multiply(X,Y),multiply(X,Z))),greatest_lower_bound(multiply(X,Z),multiply(X,Y))) ),[0,1],$fot(multiply(X,greatest_lower_bound(Y,Z)))]]) ).
cnf(refute_0_1377,plain,
( least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),greatest_lower_bound(multiply(X,Y),multiply(X,Z))) != greatest_lower_bound(multiply(X,Z),multiply(X,Y))
| least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),multiply(X,greatest_lower_bound(Y,Z))) = greatest_lower_bound(multiply(X,Z),multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X,Y),multiply(X,Z)),multiply(X,greatest_lower_bound(Y,Z))) )],[refute_0_244,refute_0_1376]) ).
cnf(refute_0_1378,plain,
least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),multiply(X,greatest_lower_bound(Y,Z))) = greatest_lower_bound(multiply(X,Z),multiply(X,Y)),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),greatest_lower_bound(multiply(X,Y),multiply(X,Z))),greatest_lower_bound(multiply(X,Z),multiply(X,Y))) )],[refute_0_1375,refute_0_1377]) ).
cnf(refute_0_1379,plain,
least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)) = greatest_lower_bound(Y,Z),
inference(subst,[],[refute_0_1129:[bind(X_11,$fot(Z)),bind(X_30,$fot(Y))]]) ).
cnf(refute_0_1380,plain,
multiply(X,least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y))) = multiply(X,least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y))),
introduced(tautology,[refl,[$fot(multiply(X,least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y))))]]) ).
cnf(refute_0_1381,plain,
( multiply(X,least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y))) != multiply(X,least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)))
| least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)) != greatest_lower_bound(Y,Z)
| multiply(X,least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y))) = multiply(X,greatest_lower_bound(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y))),multiply(X,least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)))) ),[1,1],$fot(greatest_lower_bound(Y,Z))]]) ).
cnf(refute_0_1382,plain,
( least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)) != greatest_lower_bound(Y,Z)
| multiply(X,least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y))) = multiply(X,greatest_lower_bound(Y,Z)) ),
inference(resolve,[$cnf( $equal(multiply(X,least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y))),multiply(X,least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)))) )],[refute_0_1380,refute_0_1381]) ).
cnf(refute_0_1383,plain,
multiply(X,least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y))) = multiply(X,greatest_lower_bound(Y,Z)),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),greatest_lower_bound(Y,Z)) )],[refute_0_1379,refute_0_1382]) ).
cnf(refute_0_1384,plain,
least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),multiply(X,greatest_lower_bound(Z,Y))) = multiply(X,least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y))),
inference(subst,[],[refute_0_473:[bind(Y,$fot(greatest_lower_bound(Y,Z))),bind(Z,$fot(greatest_lower_bound(Z,Y)))]]) ).
cnf(refute_0_1385,plain,
( multiply(X,least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y))) != multiply(X,greatest_lower_bound(Y,Z))
| least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),multiply(X,greatest_lower_bound(Z,Y))) != multiply(X,least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)))
| least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),multiply(X,greatest_lower_bound(Z,Y))) = multiply(X,greatest_lower_bound(Y,Z)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),multiply(X,greatest_lower_bound(Z,Y))))),bind(Y0,$fot(multiply(X,least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y))))),bind(Z0,$fot(multiply(X,greatest_lower_bound(Y,Z))))]]) ).
cnf(refute_0_1386,plain,
( multiply(X,least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y))) != multiply(X,greatest_lower_bound(Y,Z))
| least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),multiply(X,greatest_lower_bound(Z,Y))) = multiply(X,greatest_lower_bound(Y,Z)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),multiply(X,greatest_lower_bound(Z,Y))),multiply(X,least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)))) )],[refute_0_1384,refute_0_1385]) ).
cnf(refute_0_1387,plain,
least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),multiply(X,greatest_lower_bound(Z,Y))) = multiply(X,greatest_lower_bound(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(X,least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y))),multiply(X,greatest_lower_bound(Y,Z))) )],[refute_0_1383,refute_0_1386]) ).
cnf(refute_0_1388,plain,
greatest_lower_bound(multiply(X,Z),multiply(X,Y)) = multiply(X,greatest_lower_bound(Z,Y)),
inference(subst,[],[refute_0_244:[bind(Y,$fot(Z)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_1389,plain,
least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))) = least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))),
introduced(tautology,[refl,[$fot(least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))))]]) ).
cnf(refute_0_1390,plain,
( greatest_lower_bound(multiply(X,Z),multiply(X,Y)) != multiply(X,greatest_lower_bound(Z,Y))
| least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))) != least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y)))
| least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))) = least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),multiply(X,greatest_lower_bound(Z,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))),least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y)))) ),[1,1],$fot(multiply(X,greatest_lower_bound(Z,Y)))]]) ).
cnf(refute_0_1391,plain,
( greatest_lower_bound(multiply(X,Z),multiply(X,Y)) != multiply(X,greatest_lower_bound(Z,Y))
| least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))) = least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),multiply(X,greatest_lower_bound(Z,Y))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))),least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y)))) )],[refute_0_1389,refute_0_1390]) ).
cnf(refute_0_1392,plain,
least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))) = least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),multiply(X,greatest_lower_bound(Z,Y))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),multiply(X,greatest_lower_bound(Z,Y))) )],[refute_0_1388,refute_0_1391]) ).
cnf(refute_0_1393,plain,
( least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),multiply(X,greatest_lower_bound(Z,Y))) != multiply(X,greatest_lower_bound(Y,Z))
| least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))) != least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),multiply(X,greatest_lower_bound(Z,Y)))
| least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))) = multiply(X,greatest_lower_bound(Y,Z)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))))),bind(Y0,$fot(least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),multiply(X,greatest_lower_bound(Z,Y))))),bind(Z0,$fot(multiply(X,greatest_lower_bound(Y,Z))))]]) ).
cnf(refute_0_1394,plain,
( least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),multiply(X,greatest_lower_bound(Z,Y))) != multiply(X,greatest_lower_bound(Y,Z))
| least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))) = multiply(X,greatest_lower_bound(Y,Z)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))),least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),multiply(X,greatest_lower_bound(Z,Y)))) )],[refute_0_1392,refute_0_1393]) ).
cnf(refute_0_1395,plain,
least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))) = multiply(X,greatest_lower_bound(Y,Z)),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),multiply(X,greatest_lower_bound(Z,Y))),multiply(X,greatest_lower_bound(Y,Z))) )],[refute_0_1387,refute_0_1394]) ).
cnf(refute_0_1396,plain,
least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),multiply(X,greatest_lower_bound(Y,Z))) = least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))),
inference(subst,[],[refute_0_404:[bind(X,$fot(multiply(X,greatest_lower_bound(Y,Z)))),bind(Y,$fot(greatest_lower_bound(multiply(X,Z),multiply(X,Y))))]]) ).
cnf(refute_0_1397,plain,
( least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))) != multiply(X,greatest_lower_bound(Y,Z))
| least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),multiply(X,greatest_lower_bound(Y,Z))) != least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y)))
| least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),multiply(X,greatest_lower_bound(Y,Z))) = multiply(X,greatest_lower_bound(Y,Z)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),multiply(X,greatest_lower_bound(Y,Z))))),bind(Y0,$fot(least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))))),bind(Z0,$fot(multiply(X,greatest_lower_bound(Y,Z))))]]) ).
cnf(refute_0_1398,plain,
( least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))) != multiply(X,greatest_lower_bound(Y,Z))
| least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),multiply(X,greatest_lower_bound(Y,Z))) = multiply(X,greatest_lower_bound(Y,Z)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),multiply(X,greatest_lower_bound(Y,Z))),least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y)))) )],[refute_0_1396,refute_0_1397]) ).
cnf(refute_0_1399,plain,
least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),multiply(X,greatest_lower_bound(Y,Z))) = multiply(X,greatest_lower_bound(Y,Z)),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))),multiply(X,greatest_lower_bound(Y,Z))) )],[refute_0_1395,refute_0_1398]) ).
cnf(refute_0_1400,plain,
( least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),multiply(X,greatest_lower_bound(Y,Z))) != multiply(X,greatest_lower_bound(Y,Z))
| least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),multiply(X,greatest_lower_bound(Y,Z))) != greatest_lower_bound(multiply(X,Z),multiply(X,Y))
| multiply(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(multiply(X,Z),multiply(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),multiply(X,greatest_lower_bound(Y,Z))),greatest_lower_bound(multiply(X,Z),multiply(X,Y))) ),[0],$fot(multiply(X,greatest_lower_bound(Y,Z)))]]) ).
cnf(refute_0_1401,plain,
( least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),multiply(X,greatest_lower_bound(Y,Z))) != greatest_lower_bound(multiply(X,Z),multiply(X,Y))
| multiply(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(multiply(X,Z),multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),multiply(X,greatest_lower_bound(Y,Z))),multiply(X,greatest_lower_bound(Y,Z))) )],[refute_0_1399,refute_0_1400]) ).
cnf(refute_0_1402,plain,
( multiply(X,greatest_lower_bound(Y,Z)) != greatest_lower_bound(multiply(X,Z),multiply(X,Y))
| greatest_lower_bound(multiply(X,Z),multiply(X,Y)) != multiply(X,greatest_lower_bound(Z,Y))
| multiply(X,greatest_lower_bound(Y,Z)) = multiply(X,greatest_lower_bound(Z,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,greatest_lower_bound(Y,Z)),multiply(X,greatest_lower_bound(Z,Y))) ),[0],$fot(greatest_lower_bound(multiply(X,Z),multiply(X,Y)))]]) ).
cnf(refute_0_1403,plain,
( multiply(X,greatest_lower_bound(Y,Z)) != greatest_lower_bound(multiply(X,Z),multiply(X,Y))
| multiply(X,greatest_lower_bound(Y,Z)) = multiply(X,greatest_lower_bound(Z,Y)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),multiply(X,greatest_lower_bound(Z,Y))) )],[refute_0_1388,refute_0_1402]) ).
cnf(refute_0_1404,plain,
( least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),multiply(X,greatest_lower_bound(Y,Z))) != greatest_lower_bound(multiply(X,Z),multiply(X,Y))
| multiply(X,greatest_lower_bound(Y,Z)) = multiply(X,greatest_lower_bound(Z,Y)) ),
inference(resolve,[$cnf( $equal(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Z),multiply(X,Y))) )],[refute_0_1401,refute_0_1403]) ).
cnf(refute_0_1405,plain,
multiply(X,greatest_lower_bound(Y,Z)) = multiply(X,greatest_lower_bound(Z,Y)),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(multiply(X,Z),multiply(X,Y)),multiply(X,greatest_lower_bound(Y,Z))),greatest_lower_bound(multiply(X,Z),multiply(X,Y))) )],[refute_0_1378,refute_0_1404]) ).
cnf(refute_0_1406,plain,
( multiply(X,greatest_lower_bound(Y,Z)) != multiply(X,greatest_lower_bound(Z,Y))
| multiply(X,greatest_lower_bound(Z,Y)) = multiply(X,greatest_lower_bound(Y,Z)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(X,greatest_lower_bound(Y,Z)))),bind(Y0,$fot(multiply(X,greatest_lower_bound(Z,Y))))]]) ).
cnf(refute_0_1407,plain,
multiply(X,greatest_lower_bound(Z,Y)) = multiply(X,greatest_lower_bound(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(X,greatest_lower_bound(Y,Z)),multiply(X,greatest_lower_bound(Z,Y))) )],[refute_0_1405,refute_0_1406]) ).
cnf(refute_0_1408,plain,
multiply(X_31,greatest_lower_bound(greatest_lower_bound(X_111,identity),identity)) = multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity))),
inference(subst,[],[refute_0_1407:[bind(X,$fot(X_31)),bind(Y,$fot(identity)),bind(Z,$fot(greatest_lower_bound(X_111,identity)))]]) ).
cnf(refute_0_1409,plain,
( multiply(X_66,greatest_lower_bound(X_67,identity)) != greatest_lower_bound(X_66,multiply(X_66,X_67))
| greatest_lower_bound(X_66,multiply(X_66,X_67)) = multiply(X_66,greatest_lower_bound(X_67,identity)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(X_66,greatest_lower_bound(X_67,identity)))),bind(Y0,$fot(greatest_lower_bound(X_66,multiply(X_66,X_67))))]]) ).
cnf(refute_0_1410,plain,
greatest_lower_bound(X_66,multiply(X_66,X_67)) = multiply(X_66,greatest_lower_bound(X_67,identity)),
inference(resolve,[$cnf( $equal(multiply(X_66,greatest_lower_bound(X_67,identity)),greatest_lower_bound(X_66,multiply(X_66,X_67))) )],[refute_0_34,refute_0_1409]) ).
cnf(refute_0_1411,plain,
greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))) = multiply(X_31,greatest_lower_bound(greatest_lower_bound(X_111,identity),identity)),
inference(subst,[],[refute_0_1410:[bind(X_66,$fot(X_31)),bind(X_67,$fot(greatest_lower_bound(X_111,identity)))]]) ).
cnf(refute_0_1412,plain,
( multiply(X_31,greatest_lower_bound(greatest_lower_bound(X_111,identity),identity)) != multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity)))
| greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))) != multiply(X_31,greatest_lower_bound(greatest_lower_bound(X_111,identity),identity))
| greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))) = multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))))),bind(Y0,$fot(multiply(X_31,greatest_lower_bound(greatest_lower_bound(X_111,identity),identity)))),bind(Z0,$fot(multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity)))))]]) ).
cnf(refute_0_1413,plain,
( multiply(X_31,greatest_lower_bound(greatest_lower_bound(X_111,identity),identity)) != multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity)))
| greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))) = multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))),multiply(X_31,greatest_lower_bound(greatest_lower_bound(X_111,identity),identity))) )],[refute_0_1411,refute_0_1412]) ).
cnf(refute_0_1414,plain,
greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))) = multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity))),
inference(resolve,[$cnf( $equal(multiply(X_31,greatest_lower_bound(greatest_lower_bound(X_111,identity),identity)),multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity)))) )],[refute_0_1408,refute_0_1413]) ).
cnf(refute_0_1415,plain,
( multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity))) != multiply(X_31,greatest_lower_bound(identity,X_111))
| greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))) != multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity)))
| greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))) = multiply(X_31,greatest_lower_bound(identity,X_111)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))))),bind(Y0,$fot(multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity))))),bind(Z0,$fot(multiply(X_31,greatest_lower_bound(identity,X_111))))]]) ).
cnf(refute_0_1416,plain,
( multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity))) != multiply(X_31,greatest_lower_bound(identity,X_111))
| greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))) = multiply(X_31,greatest_lower_bound(identity,X_111)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))),multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity)))) )],[refute_0_1414,refute_0_1415]) ).
cnf(refute_0_1417,plain,
greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))) = multiply(X_31,greatest_lower_bound(identity,X_111)),
inference(resolve,[$cnf( $equal(multiply(X_31,greatest_lower_bound(identity,greatest_lower_bound(X_111,identity))),multiply(X_31,greatest_lower_bound(identity,X_111))) )],[refute_0_1374,refute_0_1416]) ).
cnf(refute_0_1418,plain,
( greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))) != multiply(X_31,greatest_lower_bound(identity,X_111))
| greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))) != greatest_lower_bound(X_31,multiply(X_31,X_111))
| multiply(X_31,greatest_lower_bound(identity,X_111)) = greatest_lower_bound(X_31,multiply(X_31,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))),greatest_lower_bound(X_31,multiply(X_31,X_111))) ),[0],$fot(multiply(X_31,greatest_lower_bound(identity,X_111)))]]) ).
cnf(refute_0_1419,plain,
( greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))) != greatest_lower_bound(X_31,multiply(X_31,X_111))
| multiply(X_31,greatest_lower_bound(identity,X_111)) = greatest_lower_bound(X_31,multiply(X_31,X_111)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))),multiply(X_31,greatest_lower_bound(identity,X_111))) )],[refute_0_1417,refute_0_1418]) ).
cnf(refute_0_1420,plain,
( multiply(X_31,greatest_lower_bound(identity,X_111)) != greatest_lower_bound(X_31,multiply(X_31,X_111))
| greatest_lower_bound(X_31,multiply(X_31,X_111)) != multiply(X_31,greatest_lower_bound(X_111,identity))
| multiply(X_31,greatest_lower_bound(identity,X_111)) = multiply(X_31,greatest_lower_bound(X_111,identity)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_31,greatest_lower_bound(identity,X_111)),multiply(X_31,greatest_lower_bound(X_111,identity))) ),[0],$fot(greatest_lower_bound(X_31,multiply(X_31,X_111)))]]) ).
cnf(refute_0_1421,plain,
( multiply(X_31,greatest_lower_bound(identity,X_111)) != greatest_lower_bound(X_31,multiply(X_31,X_111))
| multiply(X_31,greatest_lower_bound(identity,X_111)) = multiply(X_31,greatest_lower_bound(X_111,identity)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_31,multiply(X_31,X_111)),multiply(X_31,greatest_lower_bound(X_111,identity))) )],[refute_0_1366,refute_0_1420]) ).
cnf(refute_0_1422,plain,
( greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))) != greatest_lower_bound(X_31,multiply(X_31,X_111))
| multiply(X_31,greatest_lower_bound(identity,X_111)) = multiply(X_31,greatest_lower_bound(X_111,identity)) ),
inference(resolve,[$cnf( $equal(multiply(X_31,greatest_lower_bound(identity,X_111)),greatest_lower_bound(X_31,multiply(X_31,X_111))) )],[refute_0_1419,refute_0_1421]) ).
cnf(refute_0_1423,plain,
multiply(X_31,greatest_lower_bound(identity,X_111)) = multiply(X_31,greatest_lower_bound(X_111,identity)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_31,multiply(X_31,greatest_lower_bound(X_111,identity))),greatest_lower_bound(X_31,multiply(X_31,X_111))) )],[refute_0_1369,refute_0_1422]) ).
cnf(refute_0_1424,plain,
( multiply(X_31,greatest_lower_bound(identity,X_111)) != multiply(X_31,greatest_lower_bound(X_111,identity))
| multiply(X_31,greatest_lower_bound(X_111,identity)) = multiply(X_31,greatest_lower_bound(identity,X_111)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(X_31,greatest_lower_bound(identity,X_111)))),bind(Y0,$fot(multiply(X_31,greatest_lower_bound(X_111,identity))))]]) ).
cnf(refute_0_1425,plain,
multiply(X_31,greatest_lower_bound(X_111,identity)) = multiply(X_31,greatest_lower_bound(identity,X_111)),
inference(resolve,[$cnf( $equal(multiply(X_31,greatest_lower_bound(identity,X_111)),multiply(X_31,greatest_lower_bound(X_111,identity))) )],[refute_0_1423,refute_0_1424]) ).
cnf(refute_0_1426,plain,
multiply(least_upper_bound(identity,X_147),greatest_lower_bound(inverse(X_147),identity)) = multiply(least_upper_bound(identity,X_147),greatest_lower_bound(identity,inverse(X_147))),
inference(subst,[],[refute_0_1425:[bind(X_111,$fot(inverse(X_147))),bind(X_31,$fot(least_upper_bound(identity,X_147)))]]) ).
cnf(refute_0_1427,plain,
( multiply(least_upper_bound(identity,X_147),greatest_lower_bound(inverse(X_147),identity)) != multiply(least_upper_bound(identity,X_147),greatest_lower_bound(identity,inverse(X_147)))
| multiply(least_upper_bound(identity,X_147),greatest_lower_bound(inverse(X_147),identity)) != greatest_lower_bound(least_upper_bound(identity,X_147),least_upper_bound(identity,inverse(X_147)))
| multiply(least_upper_bound(identity,X_147),greatest_lower_bound(identity,inverse(X_147))) = greatest_lower_bound(least_upper_bound(identity,X_147),least_upper_bound(identity,inverse(X_147))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(identity,X_147),greatest_lower_bound(inverse(X_147),identity)),greatest_lower_bound(least_upper_bound(identity,X_147),least_upper_bound(identity,inverse(X_147)))) ),[0],$fot(multiply(least_upper_bound(identity,X_147),greatest_lower_bound(identity,inverse(X_147))))]]) ).
cnf(refute_0_1428,plain,
( multiply(least_upper_bound(identity,X_147),greatest_lower_bound(inverse(X_147),identity)) != greatest_lower_bound(least_upper_bound(identity,X_147),least_upper_bound(identity,inverse(X_147)))
| multiply(least_upper_bound(identity,X_147),greatest_lower_bound(identity,inverse(X_147))) = greatest_lower_bound(least_upper_bound(identity,X_147),least_upper_bound(identity,inverse(X_147))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,X_147),greatest_lower_bound(inverse(X_147),identity)),multiply(least_upper_bound(identity,X_147),greatest_lower_bound(identity,inverse(X_147)))) )],[refute_0_1426,refute_0_1427]) ).
cnf(refute_0_1429,plain,
multiply(least_upper_bound(identity,X_147),greatest_lower_bound(identity,inverse(X_147))) = greatest_lower_bound(least_upper_bound(identity,X_147),least_upper_bound(identity,inverse(X_147))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,X_147),greatest_lower_bound(inverse(X_147),identity)),greatest_lower_bound(least_upper_bound(identity,X_147),least_upper_bound(identity,inverse(X_147)))) )],[refute_0_1362,refute_0_1428]) ).
cnf(refute_0_1430,plain,
( multiply(least_upper_bound(identity,X_147),greatest_lower_bound(identity,inverse(X_147))) != greatest_lower_bound(least_upper_bound(identity,X_147),least_upper_bound(identity,inverse(X_147)))
| greatest_lower_bound(least_upper_bound(identity,X_147),least_upper_bound(identity,inverse(X_147))) = multiply(least_upper_bound(identity,X_147),greatest_lower_bound(identity,inverse(X_147))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(least_upper_bound(identity,X_147),greatest_lower_bound(identity,inverse(X_147))))),bind(Y0,$fot(greatest_lower_bound(least_upper_bound(identity,X_147),least_upper_bound(identity,inverse(X_147)))))]]) ).
cnf(refute_0_1431,plain,
greatest_lower_bound(least_upper_bound(identity,X_147),least_upper_bound(identity,inverse(X_147))) = multiply(least_upper_bound(identity,X_147),greatest_lower_bound(identity,inverse(X_147))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,X_147),greatest_lower_bound(identity,inverse(X_147))),greatest_lower_bound(least_upper_bound(identity,X_147),least_upper_bound(identity,inverse(X_147)))) )],[refute_0_1429,refute_0_1430]) ).
cnf(refute_0_1432,plain,
greatest_lower_bound(least_upper_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))) = multiply(least_upper_bound(identity,X_136),greatest_lower_bound(identity,inverse(X_136))),
inference(subst,[],[refute_0_1431:[bind(X_147,$fot(X_136))]]) ).
cnf(refute_0_1433,plain,
greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) = greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))))]]) ).
cnf(refute_0_1434,plain,
( greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) != greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136)))))
| inverse(inverse(least_upper_bound(identity,inverse(X_136)))) != least_upper_bound(identity,inverse(X_136))
| greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) = greatest_lower_bound(least_upper_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))),greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136)))))) ),[1,1],$fot(least_upper_bound(identity,inverse(X_136)))]]) ).
cnf(refute_0_1435,plain,
( inverse(inverse(least_upper_bound(identity,inverse(X_136)))) != least_upper_bound(identity,inverse(X_136))
| greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) = greatest_lower_bound(least_upper_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))),greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136)))))) )],[refute_0_1433,refute_0_1434]) ).
cnf(refute_0_1436,plain,
greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) = greatest_lower_bound(least_upper_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))),
inference(resolve,[$cnf( $equal(inverse(inverse(least_upper_bound(identity,inverse(X_136)))),least_upper_bound(identity,inverse(X_136))) )],[refute_0_1351,refute_0_1435]) ).
cnf(refute_0_1437,plain,
( greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) != greatest_lower_bound(least_upper_bound(identity,X_136),least_upper_bound(identity,inverse(X_136)))
| greatest_lower_bound(least_upper_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))) != multiply(least_upper_bound(identity,X_136),greatest_lower_bound(identity,inverse(X_136)))
| greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) = multiply(least_upper_bound(identity,X_136),greatest_lower_bound(identity,inverse(X_136))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))))),bind(Y0,$fot(greatest_lower_bound(least_upper_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))))),bind(Z0,$fot(multiply(least_upper_bound(identity,X_136),greatest_lower_bound(identity,inverse(X_136)))))]]) ).
cnf(refute_0_1438,plain,
( greatest_lower_bound(least_upper_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))) != multiply(least_upper_bound(identity,X_136),greatest_lower_bound(identity,inverse(X_136)))
| greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) = multiply(least_upper_bound(identity,X_136),greatest_lower_bound(identity,inverse(X_136))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))),greatest_lower_bound(least_upper_bound(identity,X_136),least_upper_bound(identity,inverse(X_136)))) )],[refute_0_1436,refute_0_1437]) ).
cnf(refute_0_1439,plain,
greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) = multiply(least_upper_bound(identity,X_136),greatest_lower_bound(identity,inverse(X_136))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))),multiply(least_upper_bound(identity,X_136),greatest_lower_bound(identity,inverse(X_136)))) )],[refute_0_1432,refute_0_1438]) ).
cnf(refute_0_1440,plain,
( multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))) != greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136)))))
| greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) != multiply(least_upper_bound(identity,X_136),greatest_lower_bound(identity,inverse(X_136)))
| multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))) = multiply(least_upper_bound(identity,X_136),greatest_lower_bound(identity,inverse(X_136))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))),multiply(least_upper_bound(identity,X_136),greatest_lower_bound(identity,inverse(X_136)))) ),[0],$fot(greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))))]]) ).
cnf(refute_0_1441,plain,
( multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))) != greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136)))))
| multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))) = multiply(least_upper_bound(identity,X_136),greatest_lower_bound(identity,inverse(X_136))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))),multiply(least_upper_bound(identity,X_136),greatest_lower_bound(identity,inverse(X_136)))) )],[refute_0_1439,refute_0_1440]) ).
cnf(refute_0_1442,plain,
( multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))) != greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136)))))
| multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))) = multiply(least_upper_bound(identity,X_136),greatest_lower_bound(identity,inverse(X_136))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))),greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136)))))) )],[refute_0_1357,refute_0_1441]) ).
cnf(refute_0_1443,plain,
multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))) = multiply(least_upper_bound(identity,X_136),greatest_lower_bound(identity,inverse(X_136))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136))))),greatest_lower_bound(least_upper_bound(identity,X_136),inverse(inverse(least_upper_bound(identity,inverse(X_136)))))) )],[refute_0_1350,refute_0_1442]) ).
cnf(refute_0_1444,plain,
( multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))) != multiply(least_upper_bound(identity,X_136),greatest_lower_bound(identity,inverse(X_136)))
| multiply(least_upper_bound(identity,X_136),greatest_lower_bound(identity,inverse(X_136))) = multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))))),bind(Y0,$fot(multiply(least_upper_bound(identity,X_136),greatest_lower_bound(identity,inverse(X_136)))))]]) ).
cnf(refute_0_1445,plain,
multiply(least_upper_bound(identity,X_136),greatest_lower_bound(identity,inverse(X_136))) = multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_136),least_upper_bound(identity,inverse(X_136))),multiply(least_upper_bound(identity,X_136),greatest_lower_bound(identity,inverse(X_136)))) )],[refute_0_1443,refute_0_1444]) ).
cnf(refute_0_1446,plain,
multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146))) = multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146))),
inference(subst,[],[refute_0_1445:[bind(X_136,$fot(X_146))]]) ).
cnf(refute_0_1447,plain,
greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146)))) = greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146)))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146)))))]]) ).
cnf(refute_0_1448,plain,
( multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146))) != multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146)))
| greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146)))) != greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146))))
| greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146)))) = greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146)))),greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146))))) ),[1,1],$fot(multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146))))]]) ).
cnf(refute_0_1449,plain,
( multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146))) != multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146)))
| greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146)))) = greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146)))),greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146))))) )],[refute_0_1447,refute_0_1448]) ).
cnf(refute_0_1450,plain,
greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146)))) = greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146)))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146))),multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146)))) )],[refute_0_1446,refute_0_1449]) ).
cnf(refute_0_1451,plain,
greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity)))) = greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity),
inference(subst,[],[refute_0_765:[bind(Y,$fot(identity)),bind(X_19,$fot(multiply(X_426,greatest_lower_bound(X_427,identity))))]]) ).
cnf(refute_0_1452,plain,
greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))) = greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427))),
inference(subst,[],[refute_0_1331:[bind(X_169,$fot(X_426)),bind(X_170,$fot(X_427))]]) ).
cnf(refute_0_1453,plain,
( greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity)))) != greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity)
| greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))) != greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))
| greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))) = greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity)))),greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity)) ),[0,1],$fot(greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427))))]]) ).
cnf(refute_0_1454,plain,
( greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity)))) != greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity)
| greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))) = greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))),greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))) )],[refute_0_1452,refute_0_1453]) ).
cnf(refute_0_1455,plain,
greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))) = greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity)))),greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity)) )],[refute_0_1451,refute_0_1454]) ).
cnf(refute_0_1456,plain,
greatest_lower_bound(X_426,X_426) = X_426,
inference(subst,[],[idempotence_of_gld:[bind(X,$fot(X_426))]]) ).
cnf(refute_0_1457,plain,
multiply(greatest_lower_bound(X_426,X_426),greatest_lower_bound(X_427,identity)) = multiply(greatest_lower_bound(X_426,X_426),greatest_lower_bound(X_427,identity)),
introduced(tautology,[refl,[$fot(multiply(greatest_lower_bound(X_426,X_426),greatest_lower_bound(X_427,identity)))]]) ).
cnf(refute_0_1458,plain,
( multiply(greatest_lower_bound(X_426,X_426),greatest_lower_bound(X_427,identity)) != multiply(greatest_lower_bound(X_426,X_426),greatest_lower_bound(X_427,identity))
| greatest_lower_bound(X_426,X_426) != X_426
| multiply(greatest_lower_bound(X_426,X_426),greatest_lower_bound(X_427,identity)) = multiply(X_426,greatest_lower_bound(X_427,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(X_426,X_426),greatest_lower_bound(X_427,identity)),multiply(greatest_lower_bound(X_426,X_426),greatest_lower_bound(X_427,identity))) ),[1,0],$fot(X_426)]]) ).
cnf(refute_0_1459,plain,
( greatest_lower_bound(X_426,X_426) != X_426
| multiply(greatest_lower_bound(X_426,X_426),greatest_lower_bound(X_427,identity)) = multiply(X_426,greatest_lower_bound(X_427,identity)) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_426,X_426),greatest_lower_bound(X_427,identity)),multiply(greatest_lower_bound(X_426,X_426),greatest_lower_bound(X_427,identity))) )],[refute_0_1457,refute_0_1458]) ).
cnf(refute_0_1460,plain,
multiply(greatest_lower_bound(X_426,X_426),greatest_lower_bound(X_427,identity)) = multiply(X_426,greatest_lower_bound(X_427,identity)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_426,X_426),X_426) )],[refute_0_1456,refute_0_1459]) ).
cnf(refute_0_1461,plain,
greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity))) = multiply(greatest_lower_bound(X_426,X_426),greatest_lower_bound(X_427,identity)),
inference(subst,[],[refute_0_622:[bind(X,$fot(greatest_lower_bound(X_427,identity))),bind(Y,$fot(X_426)),bind(Z,$fot(X_426))]]) ).
cnf(refute_0_1462,plain,
( multiply(greatest_lower_bound(X_426,X_426),greatest_lower_bound(X_427,identity)) != multiply(X_426,greatest_lower_bound(X_427,identity))
| greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity))) != multiply(greatest_lower_bound(X_426,X_426),greatest_lower_bound(X_427,identity))
| greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity))) = multiply(X_426,greatest_lower_bound(X_427,identity)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity))))),bind(Y0,$fot(multiply(greatest_lower_bound(X_426,X_426),greatest_lower_bound(X_427,identity)))),bind(Z0,$fot(multiply(X_426,greatest_lower_bound(X_427,identity))))]]) ).
cnf(refute_0_1463,plain,
( multiply(greatest_lower_bound(X_426,X_426),greatest_lower_bound(X_427,identity)) != multiply(X_426,greatest_lower_bound(X_427,identity))
| greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity))) = multiply(X_426,greatest_lower_bound(X_427,identity)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity))),multiply(greatest_lower_bound(X_426,X_426),greatest_lower_bound(X_427,identity))) )],[refute_0_1461,refute_0_1462]) ).
cnf(refute_0_1464,plain,
greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity))) = multiply(X_426,greatest_lower_bound(X_427,identity)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_426,X_426),greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity))) )],[refute_0_1460,refute_0_1463]) ).
cnf(refute_0_1465,plain,
greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity)))) = greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity)))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity)))))]]) ).
cnf(refute_0_1466,plain,
( greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity))) != multiply(X_426,greatest_lower_bound(X_427,identity))
| greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity)))) != greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity))))
| greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity)))) = greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity)))),greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity))))) ),[1,1],$fot(multiply(X_426,greatest_lower_bound(X_427,identity)))]]) ).
cnf(refute_0_1467,plain,
( greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity))) != multiply(X_426,greatest_lower_bound(X_427,identity))
| greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity)))) = greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity)))),greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity))))) )],[refute_0_1465,refute_0_1466]) ).
cnf(refute_0_1468,plain,
greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity)))) = greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity))),multiply(X_426,greatest_lower_bound(X_427,identity))) )],[refute_0_1464,refute_0_1467]) ).
cnf(refute_0_1469,plain,
greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_43,identity)) = greatest_lower_bound(X_43,greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity)))),
inference(subst,[],[refute_0_1281:[bind(X,$fot(multiply(X_426,greatest_lower_bound(X_427,identity)))),bind(X_44,$fot(identity))]]) ).
cnf(refute_0_1470,plain,
( greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_43,identity)) != greatest_lower_bound(X_43,greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))))
| greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))) != greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))
| greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_43,identity)) = greatest_lower_bound(X_43,greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_43,identity)),greatest_lower_bound(X_43,greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))))) ),[1,1],$fot(greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427))))]]) ).
cnf(refute_0_1471,plain,
( greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_43,identity)) != greatest_lower_bound(X_43,greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))))
| greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_43,identity)) = greatest_lower_bound(X_43,greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))),greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))) )],[refute_0_1452,refute_0_1470]) ).
cnf(refute_0_1472,plain,
greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_43,identity)) = greatest_lower_bound(X_43,greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_43,identity)),greatest_lower_bound(X_43,greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))))) )],[refute_0_1469,refute_0_1471]) ).
cnf(refute_0_1473,plain,
greatest_lower_bound(X_19,greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_19)) = greatest_lower_bound(X_19,greatest_lower_bound(X_43,X_44)),
inference(subst,[],[refute_0_765:[bind(Y,$fot(greatest_lower_bound(X_43,X_44)))]]) ).
cnf(refute_0_1474,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_19)) = greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_19),
inference(subst,[],[associativity_of_glb:[bind(X,$fot(X_43)),bind(Y,$fot(X_44)),bind(Z,$fot(X_19))]]) ).
cnf(refute_0_1475,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_19)) != greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_19)
| greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_19) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_19)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_19)))),bind(Y0,$fot(greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_19)))]]) ).
cnf(refute_0_1476,plain,
greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_19) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_19)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_19)),greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_19)) )],[refute_0_1474,refute_0_1475]) ).
cnf(refute_0_1477,plain,
( greatest_lower_bound(X_19,greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_19)) != greatest_lower_bound(X_19,greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_19) != greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_19))
| greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_19))) = greatest_lower_bound(X_19,greatest_lower_bound(X_43,X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_19,greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_19)),greatest_lower_bound(X_19,greatest_lower_bound(X_43,X_44))) ),[0,1],$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_19)))]]) ).
cnf(refute_0_1478,plain,
( greatest_lower_bound(X_19,greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_19)) != greatest_lower_bound(X_19,greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_19))) = greatest_lower_bound(X_19,greatest_lower_bound(X_43,X_44)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_19),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_19))) )],[refute_0_1476,refute_0_1477]) ).
cnf(refute_0_1479,plain,
greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_19))) = greatest_lower_bound(X_19,greatest_lower_bound(X_43,X_44)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_19,greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_19)),greatest_lower_bound(X_19,greatest_lower_bound(X_43,X_44))) )],[refute_0_1473,refute_0_1478]) ).
cnf(refute_0_1480,plain,
greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))) = greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44)),
inference(subst,[],[refute_0_1479:[bind(X_19,$fot(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))]]) ).
cnf(refute_0_1481,plain,
greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_15,X_43),X_45)) = greatest_lower_bound(greatest_lower_bound(X_43,least_upper_bound(X_15,X_43)),X_45),
inference(subst,[],[associativity_of_glb:[bind(X,$fot(X_43)),bind(Y,$fot(least_upper_bound(X_15,X_43))),bind(Z,$fot(X_45))]]) ).
cnf(refute_0_1482,plain,
greatest_lower_bound(X_43,least_upper_bound(X_15,X_43)) = X_43,
inference(subst,[],[refute_0_450:[bind(X_14,$fot(X_43))]]) ).
cnf(refute_0_1483,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_15,X_43),X_45)) != greatest_lower_bound(greatest_lower_bound(X_43,least_upper_bound(X_15,X_43)),X_45)
| greatest_lower_bound(X_43,least_upper_bound(X_15,X_43)) != X_43
| greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_15,X_43),X_45)) = greatest_lower_bound(X_43,X_45) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_15,X_43),X_45)),greatest_lower_bound(greatest_lower_bound(X_43,least_upper_bound(X_15,X_43)),X_45)) ),[1,0],$fot(X_43)]]) ).
cnf(refute_0_1484,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_15,X_43),X_45)) != greatest_lower_bound(greatest_lower_bound(X_43,least_upper_bound(X_15,X_43)),X_45)
| greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_15,X_43),X_45)) = greatest_lower_bound(X_43,X_45) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,least_upper_bound(X_15,X_43)),X_43) )],[refute_0_1482,refute_0_1483]) ).
cnf(refute_0_1485,plain,
greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_15,X_43),X_45)) = greatest_lower_bound(X_43,X_45),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_15,X_43),X_45)),greatest_lower_bound(greatest_lower_bound(X_43,least_upper_bound(X_15,X_43)),X_45)) )],[refute_0_1481,refute_0_1484]) ).
cnf(refute_0_1486,plain,
greatest_lower_bound(X_44,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)) = greatest_lower_bound(X_44,X_266),
inference(subst,[],[refute_0_1485:[bind(X_15,$fot(X_264)),bind(X_43,$fot(X_44)),bind(X_45,$fot(X_266))]]) ).
cnf(refute_0_1487,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)) != greatest_lower_bound(X_44,X_266)
| greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))) != greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))) = greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))),greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))) ),[0,1,1],$fot(greatest_lower_bound(X_44,X_266))]]) ).
cnf(refute_0_1488,plain,
( greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))) != greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))) = greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)),greatest_lower_bound(X_44,X_266)) )],[refute_0_1486,refute_0_1487]) ).
cnf(refute_0_1489,plain,
greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))) = greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))),greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))) )],[refute_0_1480,refute_0_1488]) ).
cnf(refute_0_1490,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118)))),
inference(subst,[],[refute_0_1290:[bind(Y,$fot(greatest_lower_bound(X_117,X_118)))]]) ).
cnf(refute_0_1491,plain,
greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118)) = greatest_lower_bound(X_117,greatest_lower_bound(X_118,X_44)),
inference(subst,[],[refute_0_1281:[bind(X,$fot(X_44)),bind(X_43,$fot(X_117)),bind(X_44,$fot(X_118))]]) ).
cnf(refute_0_1492,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118))) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118))))
| greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118)) != greatest_lower_bound(X_117,greatest_lower_bound(X_118,X_44))
| greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_117,greatest_lower_bound(X_118,X_44)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118))),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118))))) ),[1,1,1],$fot(greatest_lower_bound(X_117,greatest_lower_bound(X_118,X_44)))]]) ).
cnf(refute_0_1493,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118))) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118))))
| greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_117,greatest_lower_bound(X_118,X_44)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118)),greatest_lower_bound(X_117,greatest_lower_bound(X_118,X_44))) )],[refute_0_1491,refute_0_1492]) ).
cnf(refute_0_1494,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_117,greatest_lower_bound(X_118,X_44)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118))),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118))))) )],[refute_0_1490,refute_0_1493]) ).
cnf(refute_0_1495,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118))) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_117,greatest_lower_bound(X_118,X_44))))
| greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_117,greatest_lower_bound(X_118,X_44)))) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118))))),bind(Y0,$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_117,greatest_lower_bound(X_118,X_44))))))]]) ).
cnf(refute_0_1496,plain,
greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_117,greatest_lower_bound(X_118,X_44)))) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_117,X_118))),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_117,greatest_lower_bound(X_118,X_44))))) )],[refute_0_1494,refute_0_1495]) ).
cnf(refute_0_1497,plain,
greatest_lower_bound(X_266,greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))) = greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))),
inference(subst,[],[refute_0_1496:[bind(X_117,$fot(X_43)),bind(X_118,$fot(least_upper_bound(X_264,X_44))),bind(X_43,$fot(X_44)),bind(X_44,$fot(X_266))]]) ).
cnf(refute_0_1498,plain,
greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_19))) = greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(X_243,X_245))),
inference(subst,[],[refute_0_1479:[bind(X_44,$fot(greatest_lower_bound(X_243,X_245)))]]) ).
cnf(refute_0_1499,plain,
greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X,X_104))) = greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104)),
inference(subst,[],[associativity_of_glb:[bind(Z,$fot(greatest_lower_bound(X,X_104)))]]) ).
cnf(refute_0_1500,plain,
greatest_lower_bound(Y,greatest_lower_bound(X,X_104)) = greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X,X_104))),
inference(subst,[],[refute_0_1290:[bind(Y,$fot(X_104)),bind(X_43,$fot(Y)),bind(X_44,$fot(X))]]) ).
cnf(refute_0_1501,plain,
( greatest_lower_bound(Y,greatest_lower_bound(X,X_104)) != greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X,X_104)))
| greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X,X_104))) = greatest_lower_bound(Y,greatest_lower_bound(X,X_104)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(Y,greatest_lower_bound(X,X_104)))),bind(Y0,$fot(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X,X_104)))))]]) ).
cnf(refute_0_1502,plain,
greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X,X_104))) = greatest_lower_bound(Y,greatest_lower_bound(X,X_104)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(X,X_104)),greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X,X_104)))) )],[refute_0_1500,refute_0_1501]) ).
cnf(refute_0_1503,plain,
( greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X,X_104))) != greatest_lower_bound(Y,greatest_lower_bound(X,X_104))
| greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X,X_104))) != greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104))
| greatest_lower_bound(Y,greatest_lower_bound(X,X_104)) = greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X,X_104))),greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104))) ),[0],$fot(greatest_lower_bound(Y,greatest_lower_bound(X,X_104)))]]) ).
cnf(refute_0_1504,plain,
( greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X,X_104))) != greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104))
| greatest_lower_bound(Y,greatest_lower_bound(X,X_104)) = greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X,X_104))),greatest_lower_bound(Y,greatest_lower_bound(X,X_104))) )],[refute_0_1502,refute_0_1503]) ).
cnf(refute_0_1505,plain,
greatest_lower_bound(Y,greatest_lower_bound(X,X_104)) = greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X,X_104))),greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104))) )],[refute_0_1499,refute_0_1504]) ).
cnf(refute_0_1506,plain,
greatest_lower_bound(X,greatest_lower_bound(X_104,greatest_lower_bound(X,Y))) = greatest_lower_bound(X_104,greatest_lower_bound(X,Y)),
inference(subst,[],[refute_0_1292:[bind(X_43,$fot(X_104)),bind(X_44,$fot(X))]]) ).
cnf(refute_0_1507,plain,
greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))) = greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y),
inference(subst,[],[refute_0_765:[bind(X_19,$fot(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))))]]) ).
cnf(refute_0_1508,plain,
greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)) = greatest_lower_bound(Y,greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))),
inference(subst,[],[refute_0_1290:[bind(Y,$fot(X_104)),bind(X_43,$fot(X_105)),bind(X_44,$fot(Y))]]) ).
cnf(refute_0_1509,plain,
( greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)) != greatest_lower_bound(Y,greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))
| greatest_lower_bound(Y,greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) = greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))),bind(Y0,$fot(greatest_lower_bound(Y,greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))))]]) ).
cnf(refute_0_1510,plain,
greatest_lower_bound(Y,greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) = greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))) )],[refute_0_1508,refute_0_1509]) ).
cnf(refute_0_1511,plain,
( greatest_lower_bound(Y,greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) != greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))
| greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))) != greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y)
| greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) = greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))),greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y)) ),[0,1],$fot(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))]]) ).
cnf(refute_0_1512,plain,
( greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))) != greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y)
| greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) = greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) )],[refute_0_1510,refute_0_1511]) ).
cnf(refute_0_1513,plain,
greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) = greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))),greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y)) )],[refute_0_1507,refute_0_1512]) ).
cnf(refute_0_1514,plain,
greatest_lower_bound(greatest_lower_bound(Y,X_104),X_105) = greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)),
inference(subst,[],[refute_0_761:[bind(X,$fot(Y)),bind(Y,$fot(X_104)),bind(Z,$fot(X_105))]]) ).
cnf(refute_0_1515,plain,
greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) = greatest_lower_bound(greatest_lower_bound(Y,X_104),X_105),
inference(subst,[],[refute_0_765:[bind(Y,$fot(X_105)),bind(X_19,$fot(greatest_lower_bound(Y,X_104)))]]) ).
cnf(refute_0_1516,plain,
( greatest_lower_bound(greatest_lower_bound(Y,X_104),X_105) != greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105))
| greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) != greatest_lower_bound(greatest_lower_bound(Y,X_104),X_105)
| greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) = greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))))),bind(Y0,$fot(greatest_lower_bound(greatest_lower_bound(Y,X_104),X_105))),bind(Z0,$fot(greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105))))]]) ).
cnf(refute_0_1517,plain,
( greatest_lower_bound(greatest_lower_bound(Y,X_104),X_105) != greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105))
| greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) = greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))),greatest_lower_bound(greatest_lower_bound(Y,X_104),X_105)) )],[refute_0_1515,refute_0_1516]) ).
cnf(refute_0_1518,plain,
greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) = greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(Y,X_104),X_105),greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105))) )],[refute_0_1514,refute_0_1517]) ).
cnf(refute_0_1519,plain,
greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))) = greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))),
inference(subst,[],[refute_0_1292:[bind(Y,$fot(greatest_lower_bound(Y,X_104))),bind(X_43,$fot(greatest_lower_bound(Y,X_104))),bind(X_44,$fot(X_105))]]) ).
cnf(refute_0_1520,plain,
( greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))) != greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))
| greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) != greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105))
| greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))) = greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))))),bind(Y0,$fot(greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))))),bind(Z0,$fot(greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105))))]]) ).
cnf(refute_0_1521,plain,
( greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) != greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105))
| greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))) = greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))),greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))) )],[refute_0_1519,refute_0_1520]) ).
cnf(refute_0_1522,plain,
greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))) = greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))),greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105))) )],[refute_0_1518,refute_0_1521]) ).
cnf(refute_0_1523,plain,
greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),least_upper_bound(X_15,greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)))) = greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),
inference(subst,[],[refute_0_450:[bind(X_14,$fot(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15))))]]) ).
cnf(refute_0_1524,plain,
least_upper_bound(X_10,greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_10)) = X_10,
inference(subst,[],[refute_0_427:[bind(X_11,$fot(greatest_lower_bound(X_43,X_44)))]]) ).
cnf(refute_0_1525,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_10)) = greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_10),
inference(subst,[],[associativity_of_glb:[bind(X,$fot(X_43)),bind(Y,$fot(X_44)),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_1526,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_10)) != greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_10)
| greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_10) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_10)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_10)))),bind(Y0,$fot(greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_10)))]]) ).
cnf(refute_0_1527,plain,
greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_10) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_10)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_10)),greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_10)) )],[refute_0_1525,refute_0_1526]) ).
cnf(refute_0_1528,plain,
( greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_10) != greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_10))
| least_upper_bound(X_10,greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_10)) != X_10
| least_upper_bound(X_10,greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_10))) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_10,greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_10)),X_10) ),[0,1],$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_10)))]]) ).
cnf(refute_0_1529,plain,
( least_upper_bound(X_10,greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_10)) != X_10
| least_upper_bound(X_10,greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_10))) = X_10 ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_10),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_10))) )],[refute_0_1527,refute_0_1528]) ).
cnf(refute_0_1530,plain,
least_upper_bound(X_10,greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_10))) = X_10,
inference(resolve,[$cnf( $equal(least_upper_bound(X_10,greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_10)),X_10) )],[refute_0_1524,refute_0_1529]) ).
cnf(refute_0_1531,plain,
least_upper_bound(X_15,greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15))) = X_15,
inference(subst,[],[refute_0_1530:[bind(X_10,$fot(X_15)),bind(X_43,$fot(X_53)),bind(X_44,$fot(X_54))]]) ).
cnf(refute_0_1532,plain,
( greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),least_upper_bound(X_15,greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)))) != greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15))
| least_upper_bound(X_15,greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15))) != X_15
| greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15) = greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),least_upper_bound(X_15,greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)))),greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15))) ),[0,1],$fot(X_15)]]) ).
cnf(refute_0_1533,plain,
( greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),least_upper_bound(X_15,greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)))) != greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15))
| greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15) = greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_15,greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15))),X_15) )],[refute_0_1531,refute_0_1532]) ).
cnf(refute_0_1534,plain,
greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15) = greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),least_upper_bound(X_15,greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)))),greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15))) )],[refute_0_1523,refute_0_1533]) ).
cnf(refute_0_1535,plain,
greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15)) = greatest_lower_bound(X_15,X_54),
inference(subst,[],[refute_0_765:[bind(Y,$fot(X_54)),bind(X_19,$fot(X_15))]]) ).
cnf(refute_0_1536,plain,
greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15))) = greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15))))]]) ).
cnf(refute_0_1537,plain,
( greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15)) != greatest_lower_bound(X_15,X_54)
| greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15))) != greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15)))
| greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15))) = greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15))),greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15)))) ),[1,1],$fot(greatest_lower_bound(X_15,X_54))]]) ).
cnf(refute_0_1538,plain,
( greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15)) != greatest_lower_bound(X_15,X_54)
| greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15))) = greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15))),greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15)))) )],[refute_0_1536,refute_0_1537]) ).
cnf(refute_0_1539,plain,
greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15))) = greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15)),greatest_lower_bound(X_15,X_54)) )],[refute_0_1535,refute_0_1538]) ).
cnf(refute_0_1540,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_45)) = greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_45),
inference(subst,[],[associativity_of_glb:[bind(X,$fot(X_43)),bind(Y,$fot(X_44)),bind(Z,$fot(X_45))]]) ).
cnf(refute_0_1541,plain,
greatest_lower_bound(X_45,X_44) = greatest_lower_bound(X_44,X_45),
inference(subst,[],[symmetry_of_glb:[bind(X,$fot(X_45)),bind(Y,$fot(X_44))]]) ).
cnf(refute_0_1542,plain,
( greatest_lower_bound(X_45,X_44) != greatest_lower_bound(X_44,X_45)
| greatest_lower_bound(X_44,X_45) = greatest_lower_bound(X_45,X_44) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_45,X_44))),bind(Y0,$fot(greatest_lower_bound(X_44,X_45)))]]) ).
cnf(refute_0_1543,plain,
greatest_lower_bound(X_44,X_45) = greatest_lower_bound(X_45,X_44),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_45,X_44),greatest_lower_bound(X_44,X_45)) )],[refute_0_1541,refute_0_1542]) ).
cnf(refute_0_1544,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_45)) != greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_45)
| greatest_lower_bound(X_44,X_45) != greatest_lower_bound(X_45,X_44)
| greatest_lower_bound(X_43,greatest_lower_bound(X_45,X_44)) = greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_45) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_45)),greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_45)) ),[0,1],$fot(greatest_lower_bound(X_45,X_44))]]) ).
cnf(refute_0_1545,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_45)) != greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_45)
| greatest_lower_bound(X_43,greatest_lower_bound(X_45,X_44)) = greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_45) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,X_45),greatest_lower_bound(X_45,X_44)) )],[refute_0_1543,refute_0_1544]) ).
cnf(refute_0_1546,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_45,X_44)) = greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_45),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_45)),greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_45)) )],[refute_0_1540,refute_0_1545]) ).
cnf(refute_0_1547,plain,
greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_45) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_45)),
inference(subst,[],[refute_0_761:[bind(X,$fot(X_43)),bind(Y,$fot(X_44)),bind(Z,$fot(X_45))]]) ).
cnf(refute_0_1548,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_45,X_44)) != greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_45)
| greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_45) != greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_45))
| greatest_lower_bound(X_43,greatest_lower_bound(X_45,X_44)) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_45)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_45,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_45))) ),[0],$fot(greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_45))]]) ).
cnf(refute_0_1549,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_45,X_44)) != greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_45)
| greatest_lower_bound(X_43,greatest_lower_bound(X_45,X_44)) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_45)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_45),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_45))) )],[refute_0_1547,refute_0_1548]) ).
cnf(refute_0_1550,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_45,X_44)) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_45)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_45,X_44)),greatest_lower_bound(greatest_lower_bound(X_43,X_44),X_45)) )],[refute_0_1546,refute_0_1549]) ).
cnf(refute_0_1551,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_45,X_44)) != greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_45))
| greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_45)) = greatest_lower_bound(X_43,greatest_lower_bound(X_45,X_44)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_45,X_44)))),bind(Y0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_45))))]]) ).
cnf(refute_0_1552,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_45)) = greatest_lower_bound(X_43,greatest_lower_bound(X_45,X_44)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_45,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_45))) )],[refute_0_1550,refute_0_1551]) ).
cnf(refute_0_1553,plain,
greatest_lower_bound(X_53,greatest_lower_bound(greatest_lower_bound(X_54,X_15),X_15)) = greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15))),
inference(subst,[],[refute_0_1552:[bind(X_43,$fot(X_53)),bind(X_44,$fot(greatest_lower_bound(X_54,X_15))),bind(X_45,$fot(X_15))]]) ).
cnf(refute_0_1554,plain,
greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15) = greatest_lower_bound(X_53,greatest_lower_bound(greatest_lower_bound(X_54,X_15),X_15)),
inference(subst,[],[refute_0_761:[bind(X,$fot(X_53)),bind(Y,$fot(greatest_lower_bound(X_54,X_15))),bind(Z,$fot(X_15))]]) ).
cnf(refute_0_1555,plain,
( greatest_lower_bound(X_53,greatest_lower_bound(greatest_lower_bound(X_54,X_15),X_15)) != greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15)))
| greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15) != greatest_lower_bound(X_53,greatest_lower_bound(greatest_lower_bound(X_54,X_15),X_15))
| greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15) = greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15))),bind(Y0,$fot(greatest_lower_bound(X_53,greatest_lower_bound(greatest_lower_bound(X_54,X_15),X_15)))),bind(Z0,$fot(greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15)))))]]) ).
cnf(refute_0_1556,plain,
( greatest_lower_bound(X_53,greatest_lower_bound(greatest_lower_bound(X_54,X_15),X_15)) != greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15)))
| greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15) = greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15),greatest_lower_bound(X_53,greatest_lower_bound(greatest_lower_bound(X_54,X_15),X_15))) )],[refute_0_1554,refute_0_1555]) ).
cnf(refute_0_1557,plain,
greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15) = greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_53,greatest_lower_bound(greatest_lower_bound(X_54,X_15),X_15)),greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15)))) )],[refute_0_1553,refute_0_1556]) ).
cnf(refute_0_1558,plain,
( greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15))) != greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54))
| greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15) != greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15)))
| greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15) = greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15))),bind(Y0,$fot(greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15))))),bind(Z0,$fot(greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54))))]]) ).
cnf(refute_0_1559,plain,
( greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15))) != greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54))
| greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15) = greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15),greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15)))) )],[refute_0_1557,refute_0_1558]) ).
cnf(refute_0_1560,plain,
greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15) = greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_53,greatest_lower_bound(X_15,greatest_lower_bound(X_54,X_15))),greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54))) )],[refute_0_1539,refute_0_1559]) ).
cnf(refute_0_1561,plain,
( greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15) != greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54))
| greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15) != greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15))
| greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54)) = greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15),greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15))) ),[0],$fot(greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54)))]]) ).
cnf(refute_0_1562,plain,
( greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15) != greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15))
| greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54)) = greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15),greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54))) )],[refute_0_1560,refute_0_1561]) ).
cnf(refute_0_1563,plain,
greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54)) = greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)),X_15),greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15))) )],[refute_0_1534,refute_0_1562]) ).
cnf(refute_0_1564,plain,
( greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54)) != greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15))
| greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)) = greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54)))),bind(Y0,$fot(greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15))))]]) ).
cnf(refute_0_1565,plain,
greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15)) = greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_53,greatest_lower_bound(X_15,X_54)),greatest_lower_bound(X_53,greatest_lower_bound(X_54,X_15))) )],[refute_0_1563,refute_0_1564]) ).
cnf(refute_0_1566,plain,
greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,X_104))) = greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))),
inference(subst,[],[refute_0_1565:[bind(X_15,$fot(greatest_lower_bound(Y,X_104))),bind(X_53,$fot(X_105)),bind(X_54,$fot(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))))]]) ).
cnf(refute_0_1567,plain,
( greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))) != greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105))
| greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,X_104))) != greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))))
| greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,X_104))) = greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,X_104))))),bind(Y0,$fot(greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))))),bind(Z0,$fot(greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105))))]]) ).
cnf(refute_0_1568,plain,
( greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))) != greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105))
| greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,X_104))) = greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,X_104))),greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))))) )],[refute_0_1566,refute_0_1567]) ).
cnf(refute_0_1569,plain,
greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,X_104))) = greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))),greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105))) )],[refute_0_1522,refute_0_1568]) ).
cnf(refute_0_1570,plain,
greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) = greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,X_104))),
inference(subst,[],[refute_0_1310:[bind(Y,$fot(X_105)),bind(X_43,$fot(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)))),bind(X_45,$fot(greatest_lower_bound(Y,X_104)))]]) ).
cnf(refute_0_1571,plain,
( greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,X_104))) != greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105))
| greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) != greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,X_104)))
| greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) = greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))))),bind(Y0,$fot(greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,X_104))))),bind(Z0,$fot(greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105))))]]) ).
cnf(refute_0_1572,plain,
( greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,X_104))) != greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105))
| greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) = greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))),greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,X_104)))) )],[refute_0_1570,refute_0_1571]) ).
cnf(refute_0_1573,plain,
greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) = greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,X_104))),greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105))) )],[refute_0_1569,refute_0_1572]) ).
cnf(refute_0_1574,plain,
( greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) != greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105))
| greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) != greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y)
| greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)) = greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))),greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y)) ),[0],$fot(greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)))]]) ).
cnf(refute_0_1575,plain,
( greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) != greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y)
| greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)) = greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))),greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105))) )],[refute_0_1573,refute_0_1574]) ).
cnf(refute_0_1576,plain,
greatest_lower_bound(Y,greatest_lower_bound(Y,X_104)) = greatest_lower_bound(Y,X_104),
inference(subst,[],[refute_0_772:[bind(X_30,$fot(X_104)),bind(X_31,$fot(Y))]]) ).
cnf(refute_0_1577,plain,
greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104))) = greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104))))]]) ).
cnf(refute_0_1578,plain,
( greatest_lower_bound(Y,greatest_lower_bound(Y,X_104)) != greatest_lower_bound(Y,X_104)
| greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104))) != greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104)))
| greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104))) = greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104))),greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104)))) ),[1,1],$fot(greatest_lower_bound(Y,X_104))]]) ).
cnf(refute_0_1579,plain,
( greatest_lower_bound(Y,greatest_lower_bound(Y,X_104)) != greatest_lower_bound(Y,X_104)
| greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104))) = greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104))),greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104)))) )],[refute_0_1577,refute_0_1578]) ).
cnf(refute_0_1580,plain,
greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104))) = greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(Y,X_104)),greatest_lower_bound(Y,X_104)) )],[refute_0_1576,refute_0_1579]) ).
cnf(refute_0_1581,plain,
greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),Y)) = greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104))),
inference(subst,[],[refute_0_1565:[bind(X_15,$fot(Y)),bind(X_53,$fot(X_105)),bind(X_54,$fot(greatest_lower_bound(Y,X_104)))]]) ).
cnf(refute_0_1582,plain,
greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y) = greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),Y)),
inference(subst,[],[refute_0_761:[bind(X,$fot(X_105)),bind(Y,$fot(greatest_lower_bound(Y,X_104))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_1583,plain,
( greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),Y)) != greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104)))
| greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y) != greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),Y))
| greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y) = greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y))),bind(Y0,$fot(greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),Y)))),bind(Z0,$fot(greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104)))))]]) ).
cnf(refute_0_1584,plain,
( greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),Y)) != greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104)))
| greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y) = greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y),greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),Y))) )],[refute_0_1582,refute_0_1583]) ).
cnf(refute_0_1585,plain,
greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y) = greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_105,greatest_lower_bound(greatest_lower_bound(Y,X_104),Y)),greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104)))) )],[refute_0_1581,refute_0_1584]) ).
cnf(refute_0_1586,plain,
( greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104))) != greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))
| greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y) != greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104)))
| greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y) = greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y))),bind(Y0,$fot(greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104))))),bind(Z0,$fot(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))))]]) ).
cnf(refute_0_1587,plain,
( greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104))) != greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))
| greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y) = greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y),greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104)))) )],[refute_0_1585,refute_0_1586]) ).
cnf(refute_0_1588,plain,
greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y) = greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_105,greatest_lower_bound(Y,greatest_lower_bound(Y,X_104))),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) )],[refute_0_1580,refute_0_1587]) ).
cnf(refute_0_1589,plain,
( greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)) != greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y)
| greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y) != greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))
| greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)) = greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) ),[0],$fot(greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y))]]) ).
cnf(refute_0_1590,plain,
( greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)) != greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y)
| greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)) = greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) )],[refute_0_1588,refute_0_1589]) ).
cnf(refute_0_1591,plain,
( greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) != greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y)
| greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)) = greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)),greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y)) )],[refute_0_1575,refute_0_1590]) ).
cnf(refute_0_1592,plain,
greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)) = greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))),greatest_lower_bound(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)),Y)) )],[refute_0_1513,refute_0_1591]) ).
cnf(refute_0_1593,plain,
( greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)) != greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))
| greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)) = greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)))),bind(Y0,$fot(greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))))]]) ).
cnf(refute_0_1594,plain,
greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104)) = greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(X_104,X_105)),greatest_lower_bound(X_105,greatest_lower_bound(Y,X_104))) )],[refute_0_1592,refute_0_1593]) ).
cnf(refute_0_1595,plain,
greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104)) = greatest_lower_bound(X,greatest_lower_bound(X_104,greatest_lower_bound(X,Y))),
inference(subst,[],[refute_0_1594:[bind(Y,$fot(X)),bind(X_105,$fot(greatest_lower_bound(X,Y)))]]) ).
cnf(refute_0_1596,plain,
( greatest_lower_bound(X,greatest_lower_bound(X_104,greatest_lower_bound(X,Y))) != greatest_lower_bound(X_104,greatest_lower_bound(X,Y))
| greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104)) != greatest_lower_bound(X,greatest_lower_bound(X_104,greatest_lower_bound(X,Y)))
| greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104)) = greatest_lower_bound(X_104,greatest_lower_bound(X,Y)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104)))),bind(Y0,$fot(greatest_lower_bound(X,greatest_lower_bound(X_104,greatest_lower_bound(X,Y))))),bind(Z0,$fot(greatest_lower_bound(X_104,greatest_lower_bound(X,Y))))]]) ).
cnf(refute_0_1597,plain,
( greatest_lower_bound(X,greatest_lower_bound(X_104,greatest_lower_bound(X,Y))) != greatest_lower_bound(X_104,greatest_lower_bound(X,Y))
| greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104)) = greatest_lower_bound(X_104,greatest_lower_bound(X,Y)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104)),greatest_lower_bound(X,greatest_lower_bound(X_104,greatest_lower_bound(X,Y)))) )],[refute_0_1595,refute_0_1596]) ).
cnf(refute_0_1598,plain,
greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104)) = greatest_lower_bound(X_104,greatest_lower_bound(X,Y)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(X_104,greatest_lower_bound(X,Y))),greatest_lower_bound(X_104,greatest_lower_bound(X,Y))) )],[refute_0_1506,refute_0_1597]) ).
cnf(refute_0_1599,plain,
( greatest_lower_bound(Y,greatest_lower_bound(X,X_104)) != greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104))
| greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104)) != greatest_lower_bound(X_104,greatest_lower_bound(X,Y))
| greatest_lower_bound(Y,greatest_lower_bound(X,X_104)) = greatest_lower_bound(X_104,greatest_lower_bound(X,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(Y,greatest_lower_bound(X,X_104)),greatest_lower_bound(X_104,greatest_lower_bound(X,Y))) ),[0],$fot(greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104)))]]) ).
cnf(refute_0_1600,plain,
( greatest_lower_bound(Y,greatest_lower_bound(X,X_104)) != greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104))
| greatest_lower_bound(Y,greatest_lower_bound(X,X_104)) = greatest_lower_bound(X_104,greatest_lower_bound(X,Y)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104)),greatest_lower_bound(X_104,greatest_lower_bound(X,Y))) )],[refute_0_1598,refute_0_1599]) ).
cnf(refute_0_1601,plain,
greatest_lower_bound(Y,greatest_lower_bound(X,X_104)) = greatest_lower_bound(X_104,greatest_lower_bound(X,Y)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(X,X_104)),greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,X_104))) )],[refute_0_1505,refute_0_1600]) ).
cnf(refute_0_1602,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_243,X_245)) = greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_43)),
inference(subst,[],[refute_0_1601:[bind(X,$fot(X_243)),bind(Y,$fot(X_43)),bind(X_104,$fot(X_245))]]) ).
cnf(refute_0_1603,plain,
( greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_19))) != greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(X_243,X_245)))
| greatest_lower_bound(X_43,greatest_lower_bound(X_243,X_245)) != greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_43))
| greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_19))) = greatest_lower_bound(X_19,greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_19))),greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(X_243,X_245)))) ),[1,1],$fot(greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_43)))]]) ).
cnf(refute_0_1604,plain,
( greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_19))) != greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(X_243,X_245)))
| greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_19))) = greatest_lower_bound(X_19,greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_43))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_243,X_245)),greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_43))) )],[refute_0_1602,refute_0_1603]) ).
cnf(refute_0_1605,plain,
greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_19))) = greatest_lower_bound(X_19,greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_43))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_19))),greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(X_243,X_245)))) )],[refute_0_1498,refute_0_1604]) ).
cnf(refute_0_1606,plain,
( greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_19))) != greatest_lower_bound(X_19,greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_43)))
| greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_19))) != greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(X_243,X_245)))
| greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(X_243,X_245))) = greatest_lower_bound(X_19,greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_19))),greatest_lower_bound(X_19,greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_43)))) ),[0],$fot(greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(X_243,X_245))))]]) ).
cnf(refute_0_1607,plain,
( greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_19))) != greatest_lower_bound(X_19,greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_43)))
| greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(X_243,X_245))) = greatest_lower_bound(X_19,greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_43))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_19))),greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(X_243,X_245)))) )],[refute_0_1498,refute_0_1606]) ).
cnf(refute_0_1608,plain,
greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(X_243,X_245))) = greatest_lower_bound(X_19,greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_43))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_19))),greatest_lower_bound(X_19,greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_43)))) )],[refute_0_1605,refute_0_1607]) ).
cnf(refute_0_1609,plain,
( greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(X_243,X_245))) != greatest_lower_bound(X_19,greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_43)))
| greatest_lower_bound(X_19,greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_43))) = greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(X_243,X_245))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(X_243,X_245))))),bind(Y0,$fot(greatest_lower_bound(X_19,greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_43)))))]]) ).
cnf(refute_0_1610,plain,
greatest_lower_bound(X_19,greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_43))) = greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(X_243,X_245))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_19,greatest_lower_bound(X_43,greatest_lower_bound(X_243,X_245))),greatest_lower_bound(X_19,greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_43)))) )],[refute_0_1608,refute_0_1609]) ).
cnf(refute_0_1611,plain,
greatest_lower_bound(X_266,greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))) = greatest_lower_bound(X_266,greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))),
inference(subst,[],[refute_0_1610:[bind(X_19,$fot(X_266)),bind(X_243,$fot(X_43)),bind(X_245,$fot(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266))),bind(X_43,$fot(X_44))]]) ).
cnf(refute_0_1612,plain,
( greatest_lower_bound(X_266,greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))) != greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44))))
| greatest_lower_bound(X_266,greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))) != greatest_lower_bound(X_266,greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266))))
| greatest_lower_bound(X_266,greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))) = greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(X_266,greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))))),bind(Y0,$fot(greatest_lower_bound(X_266,greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))))),bind(Z0,$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44))))))]]) ).
cnf(refute_0_1613,plain,
( greatest_lower_bound(X_266,greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))) != greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44))))
| greatest_lower_bound(X_266,greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))) = greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_266,greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))),greatest_lower_bound(X_266,greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266))))) )],[refute_0_1611,refute_0_1612]) ).
cnf(refute_0_1614,plain,
greatest_lower_bound(X_266,greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))) = greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_266,greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))),greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44))))) )],[refute_0_1497,refute_0_1613]) ).
cnf(refute_0_1615,plain,
greatest_lower_bound(X_244,greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)))) = greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244)),
inference(subst,[],[refute_0_1601:[bind(X,$fot(X_243)),bind(Y,$fot(X_244)),bind(X_104,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))))]]) ).
cnf(refute_0_1616,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)) = greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))),
inference(subst,[],[refute_0_1290:[bind(X_44,$fot(X_243))]]) ).
cnf(refute_0_1617,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)) != greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)))
| greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))) = greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)))),bind(Y0,$fot(greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)))))]]) ).
cnf(refute_0_1618,plain,
greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))) = greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)))) )],[refute_0_1616,refute_0_1617]) ).
cnf(refute_0_1619,plain,
( greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))) != greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))
| greatest_lower_bound(X_244,greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)))) != greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244))
| greatest_lower_bound(X_244,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))) = greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_244,greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)))),greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244))) ),[0,1],$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)))]]) ).
cnf(refute_0_1620,plain,
( greatest_lower_bound(X_244,greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)))) != greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244))
| greatest_lower_bound(X_244,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))) = greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))),greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))) )],[refute_0_1618,refute_0_1619]) ).
cnf(refute_0_1621,plain,
greatest_lower_bound(X_244,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))) = greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_244,greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)))),greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244))) )],[refute_0_1615,refute_0_1620]) ).
cnf(refute_0_1622,plain,
greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))) = greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))),
inference(subst,[],[refute_0_1292:[bind(Y,$fot(greatest_lower_bound(Y,X_244))),bind(X_44,$fot(X_243))]]) ).
cnf(refute_0_1623,plain,
greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244) = greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)),
inference(subst,[],[refute_0_761:[bind(X,$fot(X_243)),bind(Z,$fot(X_244))]]) ).
cnf(refute_0_1624,plain,
greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244)) = greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244)),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244)))]]) ).
cnf(refute_0_1625,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244)) != greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244))
| greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244) != greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))
| greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244)) = greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244)),greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244))) ),[1,1],$fot(greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))]]) ).
cnf(refute_0_1626,plain,
( greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244) != greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))
| greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244)) = greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244)),greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244))) )],[refute_0_1624,refute_0_1625]) ).
cnf(refute_0_1627,plain,
greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244)) = greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244),greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))) )],[refute_0_1623,refute_0_1626]) ).
cnf(refute_0_1628,plain,
greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244) = greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244)),
inference(subst,[],[refute_0_761:[bind(X,$fot(X_43)),bind(Y,$fot(greatest_lower_bound(X_243,Y))),bind(Z,$fot(X_244))]]) ).
cnf(refute_0_1629,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244)) != greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))
| greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244) != greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244))
| greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244) = greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244))),bind(Y0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244)))),bind(Z0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))))]]) ).
cnf(refute_0_1630,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244)) != greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))
| greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244) = greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244),greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244))) )],[refute_0_1628,refute_0_1629]) ).
cnf(refute_0_1631,plain,
greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244) = greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_243,Y),X_244)),greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))) )],[refute_0_1627,refute_0_1630]) ).
cnf(refute_0_1632,plain,
greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244)) = greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244)),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244)))]]) ).
cnf(refute_0_1633,plain,
( greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244)) != greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244))
| greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244) != greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))
| greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244)) = greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244)),greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244))) ),[1,1],$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))))]]) ).
cnf(refute_0_1634,plain,
( greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244) != greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))
| greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244)) = greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244)),greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244))) )],[refute_0_1632,refute_0_1633]) ).
cnf(refute_0_1635,plain,
greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244)) = greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244),greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))) )],[refute_0_1631,refute_0_1634]) ).
cnf(refute_0_1636,plain,
( greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))) != greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))
| greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244)) != greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))))
| greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244)) = greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244)))),bind(Y0,$fot(greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))))),bind(Z0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))))]]) ).
cnf(refute_0_1637,plain,
( greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))) != greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))
| greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244)) = greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244)),greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))))) )],[refute_0_1635,refute_0_1636]) ).
cnf(refute_0_1638,plain,
greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244)) = greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_243,greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))),greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))) )],[refute_0_1622,refute_0_1637]) ).
cnf(refute_0_1639,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_44,X)) = greatest_lower_bound(X_43,greatest_lower_bound(X,X_44)),
inference(subst,[],[refute_0_1550:[bind(X_44,$fot(X)),bind(X_45,$fot(X_44))]]) ).
cnf(refute_0_1640,plain,
( greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) != greatest_lower_bound(X_43,greatest_lower_bound(X_44,X))
| greatest_lower_bound(X_43,greatest_lower_bound(X_44,X)) != greatest_lower_bound(X_43,greatest_lower_bound(X,X_44))
| greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_43,greatest_lower_bound(X,X_44)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X,X_44))) ),[0],$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_44,X)))]]) ).
cnf(refute_0_1641,plain,
( greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) != greatest_lower_bound(X_43,greatest_lower_bound(X_44,X))
| greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_43,greatest_lower_bound(X,X_44)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,X)),greatest_lower_bound(X_43,greatest_lower_bound(X,X_44))) )],[refute_0_1639,refute_0_1640]) ).
cnf(refute_0_1642,plain,
greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_43,greatest_lower_bound(X,X_44)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X))) )],[refute_0_1281,refute_0_1641]) ).
cnf(refute_0_1643,plain,
( greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) != greatest_lower_bound(X_43,greatest_lower_bound(X,X_44))
| greatest_lower_bound(X_43,greatest_lower_bound(X,X_44)) = greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)))),bind(Y0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X,X_44))))]]) ).
cnf(refute_0_1644,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X,X_44)) = greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(X_43,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X,X_44))) )],[refute_0_1642,refute_0_1643]) ).
cnf(refute_0_1645,plain,
greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244)) = greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244)),
inference(subst,[],[refute_0_1644:[bind(X,$fot(X_243)),bind(X_43,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)))),bind(X_44,$fot(X_244))]]) ).
cnf(refute_0_1646,plain,
( greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244)) != greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))
| greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244)) != greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244))
| greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244)) = greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244)))),bind(Y0,$fot(greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244)))),bind(Z0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))))]]) ).
cnf(refute_0_1647,plain,
( greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244)) != greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))
| greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244)) = greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244)),greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244))) )],[refute_0_1645,refute_0_1646]) ).
cnf(refute_0_1648,plain,
greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244)) = greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_243,greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),X_244)),greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))) )],[refute_0_1638,refute_0_1647]) ).
cnf(refute_0_1649,plain,
( greatest_lower_bound(X_244,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))) != greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244))
| greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244)) != greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))
| greatest_lower_bound(X_244,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))) = greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(X_244,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))),greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))) ),[0],$fot(greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244)))]]) ).
cnf(refute_0_1650,plain,
( greatest_lower_bound(X_244,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))) != greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244))
| greatest_lower_bound(X_244,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))) = greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244)),greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))) )],[refute_0_1648,refute_0_1649]) ).
cnf(refute_0_1651,plain,
greatest_lower_bound(X_244,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))) = greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_244,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))),greatest_lower_bound(greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y)),greatest_lower_bound(X_243,X_244))) )],[refute_0_1621,refute_0_1650]) ).
cnf(refute_0_1652,plain,
( greatest_lower_bound(X_244,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))) != greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))
| greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))) = greatest_lower_bound(X_244,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_244,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))))),bind(Y0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))))]]) ).
cnf(refute_0_1653,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244))) = greatest_lower_bound(X_244,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_244,greatest_lower_bound(X_43,greatest_lower_bound(X_243,Y))),greatest_lower_bound(X_43,greatest_lower_bound(X_243,greatest_lower_bound(Y,X_244)))) )],[refute_0_1651,refute_0_1652]) ).
cnf(refute_0_1654,plain,
greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))) = greatest_lower_bound(X_266,greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))),
inference(subst,[],[refute_0_1653:[bind(Y,$fot(X_44)),bind(X_243,$fot(X_43)),bind(X_244,$fot(X_266)),bind(X_43,$fot(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))]]) ).
cnf(refute_0_1655,plain,
( greatest_lower_bound(X_266,greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))) != greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44))))
| greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))) != greatest_lower_bound(X_266,greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44)))
| greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))) = greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))))),bind(Y0,$fot(greatest_lower_bound(X_266,greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))))),bind(Z0,$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44))))))]]) ).
cnf(refute_0_1656,plain,
( greatest_lower_bound(X_266,greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))) != greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44))))
| greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))) = greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))),greatest_lower_bound(X_266,greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44)))) )],[refute_0_1654,refute_0_1655]) ).
cnf(refute_0_1657,plain,
greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))) = greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_266,greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))),greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44))))) )],[refute_0_1614,refute_0_1656]) ).
cnf(refute_0_1658,plain,
( greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))) != greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44))))
| greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))) != greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))) = greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))),greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))) ),[0],$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))))]]) ).
cnf(refute_0_1659,plain,
( greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))) != greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))) = greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))),greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44))))) )],[refute_0_1657,refute_0_1658]) ).
cnf(refute_0_1660,plain,
greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_235,X_43)))) = greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44)),
inference(subst,[],[refute_0_1479:[bind(X_19,$fot(greatest_lower_bound(X_235,X_43)))]]) ).
cnf(refute_0_1661,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_235,X_43))) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235)),
inference(subst,[],[refute_0_1479:[bind(X_19,$fot(X_43)),bind(X_43,$fot(X_44)),bind(X_44,$fot(X_235))]]) ).
cnf(refute_0_1662,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_235,X_43))) != greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))
| greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_235,X_43)))) != greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))) = greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_235,X_43)))),greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44))) ),[0,1],$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235)))]]) ).
cnf(refute_0_1663,plain,
( greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_235,X_43)))) != greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))) = greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_235,X_43))),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))) )],[refute_0_1661,refute_0_1662]) ).
cnf(refute_0_1664,plain,
greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))) = greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_235,X_43)))),greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44))) )],[refute_0_1660,refute_0_1663]) ).
cnf(refute_0_1665,plain,
greatest_lower_bound(X_235,X_235) = X_235,
inference(subst,[],[idempotence_of_gld:[bind(X,$fot(X_235))]]) ).
cnf(refute_0_1666,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)) = greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)))]]) ).
cnf(refute_0_1667,plain,
( greatest_lower_bound(X_235,X_235) != X_235
| greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)) != greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235))
| greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)) = greatest_lower_bound(X_43,X_235) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)),greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235))) ),[1,1],$fot(X_235)]]) ).
cnf(refute_0_1668,plain,
( greatest_lower_bound(X_235,X_235) != X_235
| greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)) = greatest_lower_bound(X_43,X_235) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)),greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235))) )],[refute_0_1666,refute_0_1667]) ).
cnf(refute_0_1669,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)) = greatest_lower_bound(X_43,X_235),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_235,X_235),X_235) )],[refute_0_1665,refute_0_1668]) ).
cnf(refute_0_1670,plain,
greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235))))]]) ).
cnf(refute_0_1671,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)) != greatest_lower_bound(X_43,X_235)
| greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235))) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)))
| greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235))),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)))) ),[1,1],$fot(greatest_lower_bound(X_43,X_235))]]) ).
cnf(refute_0_1672,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)) != greatest_lower_bound(X_43,X_235)
| greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235))),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)))) )],[refute_0_1670,refute_0_1671]) ).
cnf(refute_0_1673,plain,
greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)),greatest_lower_bound(X_43,X_235)) )],[refute_0_1669,refute_0_1672]) ).
cnf(refute_0_1674,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_235,greatest_lower_bound(X_235,X_43)))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235))),
inference(subst,[],[refute_0_1496:[bind(X_117,$fot(X_235)),bind(X_118,$fot(X_235)),bind(X_43,$fot(X_44)),bind(X_44,$fot(X_43))]]) ).
cnf(refute_0_1675,plain,
greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y)))) = greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y))),
inference(subst,[],[associativity_of_glb:[bind(Z,$fot(greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y))))]]) ).
cnf(refute_0_1676,plain,
greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y))) = greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235)),
inference(subst,[],[refute_0_1479:[bind(X_19,$fot(Y)),bind(X_43,$fot(X_234)),bind(X_44,$fot(X_235))]]) ).
cnf(refute_0_1677,plain,
( greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y)))) != greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y)))
| greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y))) != greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))
| greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))) = greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y)))),greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y)))) ),[0,1],$fot(greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235)))]]) ).
cnf(refute_0_1678,plain,
( greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y)))) != greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y)))
| greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))) = greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y))),greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))) )],[refute_0_1676,refute_0_1677]) ).
cnf(refute_0_1679,plain,
greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))) = greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y)))),greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y)))) )],[refute_0_1675,refute_0_1678]) ).
cnf(refute_0_1680,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))))),
inference(subst,[],[refute_0_1290:[bind(Y,$fot(greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))))]]) ).
cnf(refute_0_1681,plain,
greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)) = greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))),
inference(subst,[],[refute_0_1290:[bind(Y,$fot(X_104)),bind(X_43,$fot(X_105))]]) ).
cnf(refute_0_1682,plain,
( greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)) != greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))
| greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))) = greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))),bind(Y0,$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))))]]) ).
cnf(refute_0_1683,plain,
greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))) = greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)),greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) )],[refute_0_1681,refute_0_1682]) ).
cnf(refute_0_1684,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))))
| greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))) != greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))
| greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))))) ),[1,1,1],$fot(greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))]]) ).
cnf(refute_0_1685,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))))
| greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))),greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))) )],[refute_0_1683,refute_0_1684]) ).
cnf(refute_0_1686,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))))) )],[refute_0_1680,refute_0_1685]) ).
cnf(refute_0_1687,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))))]]) ).
cnf(refute_0_1688,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) != greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))))
| greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))) != greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))
| greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) = greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))))) ),[1,1],$fot(greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))]]) ).
cnf(refute_0_1689,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))) != greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))
| greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) = greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))))) )],[refute_0_1687,refute_0_1688]) ).
cnf(refute_0_1690,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) = greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))),greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))) )],[refute_0_1683,refute_0_1689]) ).
cnf(refute_0_1691,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) != greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))
| greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))))
| greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))))) ),[0],$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))))]]) ).
cnf(refute_0_1692,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))))
| greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))),greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) )],[refute_0_1690,refute_0_1691]) ).
cnf(refute_0_1693,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))))) )],[refute_0_1686,refute_0_1692]) ).
cnf(refute_0_1694,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))))
| greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) = greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))))),bind(Y0,$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))))))]]) ).
cnf(refute_0_1695,plain,
greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104)))) = greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_105,greatest_lower_bound(X_44,X_104))))) )],[refute_0_1693,refute_0_1694]) ).
cnf(refute_0_1696,plain,
greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))) = greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234))),
inference(subst,[],[refute_0_1695:[bind(X_104,$fot(X_234)),bind(X_105,$fot(X)),bind(X_43,$fot(X_235)),bind(X_44,$fot(Y))]]) ).
cnf(refute_0_1697,plain,
greatest_lower_bound(greatest_lower_bound(X,Y),X_234) = greatest_lower_bound(X,greatest_lower_bound(Y,X_234)),
inference(subst,[],[refute_0_761:[bind(Z,$fot(X_234))]]) ).
cnf(refute_0_1698,plain,
greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234)) = greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234)),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234)))]]) ).
cnf(refute_0_1699,plain,
( greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234)) != greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))
| greatest_lower_bound(greatest_lower_bound(X,Y),X_234) != greatest_lower_bound(X,greatest_lower_bound(Y,X_234))
| greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234)) = greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234)),greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))) ),[1,1],$fot(greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))]]) ).
cnf(refute_0_1700,plain,
( greatest_lower_bound(greatest_lower_bound(X,Y),X_234) != greatest_lower_bound(X,greatest_lower_bound(Y,X_234))
| greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234)) = greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234)),greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))) )],[refute_0_1698,refute_0_1699]) ).
cnf(refute_0_1701,plain,
greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234)) = greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X,Y),X_234),greatest_lower_bound(X,greatest_lower_bound(Y,X_234))) )],[refute_0_1697,refute_0_1700]) ).
cnf(refute_0_1702,plain,
greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))) = greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))))]]) ).
cnf(refute_0_1703,plain,
( greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))) != greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234)))
| greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234)) != greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))
| greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))) = greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))),greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234)))) ),[1,1],$fot(greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234))))]]) ).
cnf(refute_0_1704,plain,
( greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234)) != greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))
| greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))) = greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))),greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234)))) )],[refute_0_1702,refute_0_1703]) ).
cnf(refute_0_1705,plain,
greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))) = greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234)),greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))) )],[refute_0_1701,refute_0_1704]) ).
cnf(refute_0_1706,plain,
( greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))) != greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))
| greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))) != greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234))))
| greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))) = greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))))),bind(Y0,$fot(greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))))),bind(Z0,$fot(greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))))]]) ).
cnf(refute_0_1707,plain,
( greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))) != greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))
| greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))) = greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))),greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234))))) )],[refute_0_1705,refute_0_1706]) ).
cnf(refute_0_1708,plain,
greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))) = greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))),greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))) )],[refute_0_1696,refute_0_1707]) ).
cnf(refute_0_1709,plain,
greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44))))) = greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44)),
inference(subst,[],[refute_0_1479:[bind(X_19,$fot(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44))))]]) ).
cnf(refute_0_1710,plain,
greatest_lower_bound(X_44,greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44))) = greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)),
inference(subst,[],[refute_0_1479:[bind(X_19,$fot(X_44)),bind(X_43,$fot(X_234)),bind(X_44,$fot(X_235))]]) ).
cnf(refute_0_1711,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44))) != greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235))
| greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44))))) != greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))) = greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44))))),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44))) ),[0,1,1],$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))]]) ).
cnf(refute_0_1712,plain,
( greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44))))) != greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))) = greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44))),greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235))) )],[refute_0_1710,refute_0_1711]) ).
cnf(refute_0_1713,plain,
greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))) = greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44))))),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44))) )],[refute_0_1709,refute_0_1712]) ).
cnf(refute_0_1714,plain,
greatest_lower_bound(X_44,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))),
inference(subst,[],[refute_0_1695:[bind(X_104,$fot(X_43)),bind(X_105,$fot(X_235)),bind(X_43,$fot(X_234))]]) ).
cnf(refute_0_1715,plain,
greatest_lower_bound(X_234,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))),
inference(subst,[],[refute_0_772:[bind(X_30,$fot(greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))),bind(X_31,$fot(X_234))]]) ).
cnf(refute_0_1716,plain,
greatest_lower_bound(X_235,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))),
inference(subst,[],[refute_0_1292:[bind(Y,$fot(greatest_lower_bound(X_44,X_43))),bind(X_43,$fot(X_234)),bind(X_44,$fot(X_235))]]) ).
cnf(refute_0_1717,plain,
greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43) = greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)),
inference(subst,[],[refute_0_761:[bind(X,$fot(X_235)),bind(Y,$fot(X_44)),bind(Z,$fot(X_43))]]) ).
cnf(refute_0_1718,plain,
greatest_lower_bound(X_234,greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43)) = greatest_lower_bound(X_234,greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43)),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X_234,greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43)))]]) ).
cnf(refute_0_1719,plain,
( greatest_lower_bound(X_234,greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43)) != greatest_lower_bound(X_234,greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43))
| greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43) != greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))
| greatest_lower_bound(X_234,greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43)) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_234,greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43)),greatest_lower_bound(X_234,greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43))) ),[1,1],$fot(greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))]]) ).
cnf(refute_0_1720,plain,
( greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43) != greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))
| greatest_lower_bound(X_234,greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43)) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_234,greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43)),greatest_lower_bound(X_234,greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43))) )],[refute_0_1718,refute_0_1719]) ).
cnf(refute_0_1721,plain,
greatest_lower_bound(X_234,greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43)) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43),greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) )],[refute_0_1717,refute_0_1720]) ).
cnf(refute_0_1722,plain,
greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43) = greatest_lower_bound(X_234,greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43)),
inference(subst,[],[refute_0_761:[bind(X,$fot(X_234)),bind(Y,$fot(greatest_lower_bound(X_235,X_44))),bind(Z,$fot(X_43))]]) ).
cnf(refute_0_1723,plain,
( greatest_lower_bound(X_234,greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43)) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))
| greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43) != greatest_lower_bound(X_234,greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43))
| greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))),bind(Y0,$fot(greatest_lower_bound(X_234,greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43)))),bind(Z0,$fot(greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))))]]) ).
cnf(refute_0_1724,plain,
( greatest_lower_bound(X_234,greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43)) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))
| greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43),greatest_lower_bound(X_234,greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43))) )],[refute_0_1722,refute_0_1723]) ).
cnf(refute_0_1725,plain,
greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_234,greatest_lower_bound(greatest_lower_bound(X_235,X_44),X_43)),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) )],[refute_0_1721,refute_0_1724]) ).
cnf(refute_0_1726,plain,
greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)) = greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)))]]) ).
cnf(refute_0_1727,plain,
( greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)) != greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))
| greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))
| greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)) = greatest_lower_bound(X_235,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)),greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) ),[1,1],$fot(greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))))]]) ).
cnf(refute_0_1728,plain,
( greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))
| greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)) = greatest_lower_bound(X_235,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)),greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) )],[refute_0_1726,refute_0_1727]) ).
cnf(refute_0_1729,plain,
greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)) = greatest_lower_bound(X_235,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) )],[refute_0_1725,refute_0_1728]) ).
cnf(refute_0_1730,plain,
( greatest_lower_bound(X_235,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))
| greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)) != greatest_lower_bound(X_235,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))))
| greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)))),bind(Y0,$fot(greatest_lower_bound(X_235,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))))),bind(Z0,$fot(greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))))]]) ).
cnf(refute_0_1731,plain,
( greatest_lower_bound(X_235,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))
| greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)),greatest_lower_bound(X_235,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))))) )],[refute_0_1729,refute_0_1730]) ).
cnf(refute_0_1732,plain,
greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_235,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) )],[refute_0_1716,refute_0_1731]) ).
cnf(refute_0_1733,plain,
greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))))]]) ).
cnf(refute_0_1734,plain,
( greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)))
| greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))
| greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) = greatest_lower_bound(X_234,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)))) ),[1,1],$fot(greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))))]]) ).
cnf(refute_0_1735,plain,
( greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))
| greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) = greatest_lower_bound(X_234,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)))) )],[refute_0_1733,refute_0_1734]) ).
cnf(refute_0_1736,plain,
greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) = greatest_lower_bound(X_234,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) )],[refute_0_1732,refute_0_1735]) ).
cnf(refute_0_1737,plain,
( greatest_lower_bound(X_234,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))
| greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) != greatest_lower_bound(X_234,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))))
| greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))))),bind(Y0,$fot(greatest_lower_bound(X_234,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))))),bind(Z0,$fot(greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))))]]) ).
cnf(refute_0_1738,plain,
( greatest_lower_bound(X_234,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))
| greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))),greatest_lower_bound(X_234,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))))) )],[refute_0_1736,refute_0_1737]) ).
cnf(refute_0_1739,plain,
greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_234,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) )],[refute_0_1715,refute_0_1738]) ).
cnf(refute_0_1740,plain,
greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))),
inference(subst,[],[refute_0_761:[bind(X,$fot(X_234)),bind(Y,$fot(X_235)),bind(Z,$fot(greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)))]]) ).
cnf(refute_0_1741,plain,
( greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))
| greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)))
| greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)))),bind(Y0,$fot(greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))))),bind(Z0,$fot(greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))))]]) ).
cnf(refute_0_1742,plain,
( greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))
| greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)))) )],[refute_0_1740,refute_0_1741]) ).
cnf(refute_0_1743,plain,
greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) )],[refute_0_1739,refute_0_1742]) ).
cnf(refute_0_1744,plain,
greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) = greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))))]]) ).
cnf(refute_0_1745,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) != greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)))
| greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))
| greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) = greatest_lower_bound(X_44,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))),greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)))) ),[1,1],$fot(greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))))]]) ).
cnf(refute_0_1746,plain,
( greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))
| greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) = greatest_lower_bound(X_44,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))),greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)))) )],[refute_0_1744,refute_0_1745]) ).
cnf(refute_0_1747,plain,
greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) = greatest_lower_bound(X_44,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) )],[refute_0_1743,refute_0_1746]) ).
cnf(refute_0_1748,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))
| greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) != greatest_lower_bound(X_44,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))))
| greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))))),bind(Y0,$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))))),bind(Z0,$fot(greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))))]]) ).
cnf(refute_0_1749,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))
| greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))),greatest_lower_bound(X_44,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))))) )],[refute_0_1747,refute_0_1748]) ).
cnf(refute_0_1750,plain,
greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) )],[refute_0_1714,refute_0_1749]) ).
cnf(refute_0_1751,plain,
greatest_lower_bound(X_120,greatest_lower_bound(greatest_lower_bound(X,Y),X_121)) = greatest_lower_bound(X_120,greatest_lower_bound(X_121,greatest_lower_bound(X,Y))),
inference(subst,[],[refute_0_1550:[bind(X_43,$fot(X_120)),bind(X_44,$fot(X_121)),bind(X_45,$fot(greatest_lower_bound(X,Y)))]]) ).
cnf(refute_0_1752,plain,
greatest_lower_bound(X,greatest_lower_bound(Y,X_121)) = greatest_lower_bound(greatest_lower_bound(X,Y),X_121),
inference(subst,[],[associativity_of_glb:[bind(Z,$fot(X_121))]]) ).
cnf(refute_0_1753,plain,
( greatest_lower_bound(X,greatest_lower_bound(Y,X_121)) != greatest_lower_bound(greatest_lower_bound(X,Y),X_121)
| greatest_lower_bound(greatest_lower_bound(X,Y),X_121) = greatest_lower_bound(X,greatest_lower_bound(Y,X_121)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X,greatest_lower_bound(Y,X_121)))),bind(Y0,$fot(greatest_lower_bound(greatest_lower_bound(X,Y),X_121)))]]) ).
cnf(refute_0_1754,plain,
greatest_lower_bound(greatest_lower_bound(X,Y),X_121) = greatest_lower_bound(X,greatest_lower_bound(Y,X_121)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(Y,X_121)),greatest_lower_bound(greatest_lower_bound(X,Y),X_121)) )],[refute_0_1752,refute_0_1753]) ).
cnf(refute_0_1755,plain,
( greatest_lower_bound(X_120,greatest_lower_bound(greatest_lower_bound(X,Y),X_121)) != greatest_lower_bound(X_120,greatest_lower_bound(X_121,greatest_lower_bound(X,Y)))
| greatest_lower_bound(greatest_lower_bound(X,Y),X_121) != greatest_lower_bound(X,greatest_lower_bound(Y,X_121))
| greatest_lower_bound(X_120,greatest_lower_bound(X,greatest_lower_bound(Y,X_121))) = greatest_lower_bound(X_120,greatest_lower_bound(X_121,greatest_lower_bound(X,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_120,greatest_lower_bound(greatest_lower_bound(X,Y),X_121)),greatest_lower_bound(X_120,greatest_lower_bound(X_121,greatest_lower_bound(X,Y)))) ),[0,1],$fot(greatest_lower_bound(X,greatest_lower_bound(Y,X_121)))]]) ).
cnf(refute_0_1756,plain,
( greatest_lower_bound(X_120,greatest_lower_bound(greatest_lower_bound(X,Y),X_121)) != greatest_lower_bound(X_120,greatest_lower_bound(X_121,greatest_lower_bound(X,Y)))
| greatest_lower_bound(X_120,greatest_lower_bound(X,greatest_lower_bound(Y,X_121))) = greatest_lower_bound(X_120,greatest_lower_bound(X_121,greatest_lower_bound(X,Y))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X,Y),X_121),greatest_lower_bound(X,greatest_lower_bound(Y,X_121))) )],[refute_0_1754,refute_0_1755]) ).
cnf(refute_0_1757,plain,
greatest_lower_bound(X_120,greatest_lower_bound(X,greatest_lower_bound(Y,X_121))) = greatest_lower_bound(X_120,greatest_lower_bound(X_121,greatest_lower_bound(X,Y))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_120,greatest_lower_bound(greatest_lower_bound(X,Y),X_121)),greatest_lower_bound(X_120,greatest_lower_bound(X_121,greatest_lower_bound(X,Y)))) )],[refute_0_1751,refute_0_1756]) ).
cnf(refute_0_1758,plain,
greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_234,X_235)))) = greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))),
inference(subst,[],[refute_0_1757:[bind(X,$fot(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)))),bind(Y,$fot(X_43)),bind(X_120,$fot(X_44)),bind(X_121,$fot(greatest_lower_bound(X_234,X_235)))]]) ).
cnf(refute_0_1759,plain,
greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))) = greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y)))),
inference(subst,[],[associativity_of_glb:[bind(Z,$fot(greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y)))))]]) ).
cnf(refute_0_1760,plain,
greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y)))) = greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235)),
inference(subst,[],[refute_0_1479:[bind(X_19,$fot(greatest_lower_bound(X,Y))),bind(X_43,$fot(X_234)),bind(X_44,$fot(X_235))]]) ).
cnf(refute_0_1761,plain,
( greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))) != greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))
| greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y)))) != greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235))
| greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))) = greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))),greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235))) ),[0],$fot(greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y)))))]]) ).
cnf(refute_0_1762,plain,
( greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))) != greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))
| greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))) = greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y)))),greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235))) )],[refute_0_1760,refute_0_1761]) ).
cnf(refute_0_1763,plain,
greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))) = greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))),greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))) )],[refute_0_1759,refute_0_1762]) ).
cnf(refute_0_1764,plain,
greatest_lower_bound(X,greatest_lower_bound(X_234,greatest_lower_bound(Y,greatest_lower_bound(X_235,X)))) = greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235))),
inference(subst,[],[refute_0_1496:[bind(X_117,$fot(Y)),bind(X_118,$fot(X_235)),bind(X_43,$fot(X_234)),bind(X_44,$fot(X))]]) ).
cnf(refute_0_1765,plain,
greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y)))) = greatest_lower_bound(X_234,greatest_lower_bound(Y,greatest_lower_bound(X_235,X))),
inference(subst,[],[refute_0_1496:[bind(X_117,$fot(X_235)),bind(X_118,$fot(X)),bind(X_43,$fot(X_234)),bind(X_44,$fot(Y))]]) ).
cnf(refute_0_1766,plain,
greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))) = greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))))]]) ).
cnf(refute_0_1767,plain,
( greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))) != greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y)))))
| greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y)))) != greatest_lower_bound(X_234,greatest_lower_bound(Y,greatest_lower_bound(X_235,X)))
| greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))) = greatest_lower_bound(X,greatest_lower_bound(X_234,greatest_lower_bound(Y,greatest_lower_bound(X_235,X)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))),greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y)))))) ),[1,1],$fot(greatest_lower_bound(X_234,greatest_lower_bound(Y,greatest_lower_bound(X_235,X))))]]) ).
cnf(refute_0_1768,plain,
( greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y)))) != greatest_lower_bound(X_234,greatest_lower_bound(Y,greatest_lower_bound(X_235,X)))
| greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))) = greatest_lower_bound(X,greatest_lower_bound(X_234,greatest_lower_bound(Y,greatest_lower_bound(X_235,X)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))),greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y)))))) )],[refute_0_1766,refute_0_1767]) ).
cnf(refute_0_1769,plain,
greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))) = greatest_lower_bound(X,greatest_lower_bound(X_234,greatest_lower_bound(Y,greatest_lower_bound(X_235,X)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y)))),greatest_lower_bound(X_234,greatest_lower_bound(Y,greatest_lower_bound(X_235,X)))) )],[refute_0_1765,refute_0_1768]) ).
cnf(refute_0_1770,plain,
( greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))) != greatest_lower_bound(X,greatest_lower_bound(X_234,greatest_lower_bound(Y,greatest_lower_bound(X_235,X))))
| greatest_lower_bound(X,greatest_lower_bound(X_234,greatest_lower_bound(Y,greatest_lower_bound(X_235,X)))) != greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235)))
| greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))) = greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))))),bind(Y0,$fot(greatest_lower_bound(X,greatest_lower_bound(X_234,greatest_lower_bound(Y,greatest_lower_bound(X_235,X)))))),bind(Z0,$fot(greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235)))))]]) ).
cnf(refute_0_1771,plain,
( greatest_lower_bound(X,greatest_lower_bound(X_234,greatest_lower_bound(Y,greatest_lower_bound(X_235,X)))) != greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235)))
| greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))) = greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))),greatest_lower_bound(X,greatest_lower_bound(X_234,greatest_lower_bound(Y,greatest_lower_bound(X_235,X))))) )],[refute_0_1769,refute_0_1770]) ).
cnf(refute_0_1772,plain,
greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))) = greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(X_234,greatest_lower_bound(Y,greatest_lower_bound(X_235,X)))),greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235)))) )],[refute_0_1764,refute_0_1771]) ).
cnf(refute_0_1773,plain,
( greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))) != greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235)))
| greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))) != greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235))
| greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235))) = greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))),greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235))) ),[0],$fot(greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235))))]]) ).
cnf(refute_0_1774,plain,
( greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))) != greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235))
| greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235))) = greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))),greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235)))) )],[refute_0_1772,refute_0_1773]) ).
cnf(refute_0_1775,plain,
greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235)) = greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))),
inference(subst,[],[refute_0_761:[bind(Z,$fot(greatest_lower_bound(X_234,X_235)))]]) ).
cnf(refute_0_1776,plain,
( greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235))) != greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235))
| greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235)) != greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235)))
| greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235))) = greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235))),greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235)))) ),[0],$fot(greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235)))]]) ).
cnf(refute_0_1777,plain,
( greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235))) != greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235))
| greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235))) = greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235)),greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235)))) )],[refute_0_1775,refute_0_1776]) ).
cnf(refute_0_1778,plain,
( greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))) != greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235))
| greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235))) = greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235))),greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235))) )],[refute_0_1774,refute_0_1777]) ).
cnf(refute_0_1779,plain,
greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235))) = greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X,Y))))),greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,X_235))) )],[refute_0_1763,refute_0_1778]) ).
cnf(refute_0_1780,plain,
( greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235))) != greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235)))
| greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))) = greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235))))),bind(Y0,$fot(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235)))))]]) ).
cnf(refute_0_1781,plain,
greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))) = greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_234,greatest_lower_bound(X,greatest_lower_bound(Y,X_235))),greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235)))) )],[refute_0_1779,refute_0_1780]) ).
cnf(refute_0_1782,plain,
greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))) = greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_234,X_235)))),
inference(subst,[],[refute_0_1781:[bind(X,$fot(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)))),bind(Y,$fot(X_43)),bind(X_234,$fot(X_44)),bind(X_235,$fot(greatest_lower_bound(X_234,X_235)))]]) ).
cnf(refute_0_1783,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_234,X_235)))) != greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)))
| greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))) != greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_234,X_235))))
| greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))) = greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))))),bind(Y0,$fot(greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_234,X_235)))))),bind(Z0,$fot(greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)))))]]) ).
cnf(refute_0_1784,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_234,X_235)))) != greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)))
| greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))) = greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))),greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_234,X_235))))) )],[refute_0_1782,refute_0_1783]) ).
cnf(refute_0_1785,plain,
greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))) = greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_234,X_235)))),greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)))) )],[refute_0_1758,refute_0_1784]) ).
cnf(refute_0_1786,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))
| greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))) != greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)))
| greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))))),bind(Y0,$fot(greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))))),bind(Z0,$fot(greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))))]]) ).
cnf(refute_0_1787,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))
| greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))),greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43)))) )],[refute_0_1785,refute_0_1786]) ).
cnf(refute_0_1788,plain,
greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))) = greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(greatest_lower_bound(X_234,X_235),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),X_43))),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) )],[refute_0_1750,refute_0_1787]) ).
cnf(refute_0_1789,plain,
( greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))) != greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))
| greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))) != greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) = greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44))) ),[0],$fot(greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))))]]) ).
cnf(refute_0_1790,plain,
( greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))) != greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) = greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))),greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43)))) )],[refute_0_1788,refute_0_1789]) ).
cnf(refute_0_1791,plain,
greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)))) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235))),
inference(subst,[],[refute_0_1496:[bind(X_117,$fot(X_234)),bind(X_118,$fot(X_235))]]) ).
cnf(refute_0_1792,plain,
greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)))),
inference(subst,[],[refute_0_1326:[bind(X,$fot(X_44)),bind(X_44,$fot(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44))))]]) ).
cnf(refute_0_1793,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)))) != greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))
| greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44)) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44))))
| greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44)))),bind(Y0,$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)))))),bind(Z0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))))]]) ).
cnf(refute_0_1794,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)))) != greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))
| greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44)),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44))))) )],[refute_0_1792,refute_0_1793]) ).
cnf(refute_0_1795,plain,
greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)))),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))) )],[refute_0_1791,refute_0_1794]) ).
cnf(refute_0_1796,plain,
( greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) != greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44)) != greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))
| greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))) ),[0],$fot(greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44)))]]) ).
cnf(refute_0_1797,plain,
( greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) != greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))) )],[refute_0_1795,refute_0_1796]) ).
cnf(refute_0_1798,plain,
( greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))) != greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44))) )],[refute_0_1790,refute_0_1797]) ).
cnf(refute_0_1799,plain,
greatest_lower_bound(X_234,greatest_lower_bound(X_235,greatest_lower_bound(X_44,X_43))) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_234,X_235)))),greatest_lower_bound(greatest_lower_bound(X_234,greatest_lower_bound(X_235,X_44)),greatest_lower_bound(X_43,X_44))) )],[refute_0_1713,refute_0_1798]) ).
cnf(refute_0_1800,plain,
greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y))) = greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))),
inference(subst,[],[refute_0_1799:[bind(X_234,$fot(greatest_lower_bound(X,Y))),bind(X_235,$fot(X_234)),bind(X_43,$fot(Y)),bind(X_44,$fot(X_235))]]) ).
cnf(refute_0_1801,plain,
( greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))) != greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))
| greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y))) != greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234)))
| greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y))) = greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y))))),bind(Y0,$fot(greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))))),bind(Z0,$fot(greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))))]]) ).
cnf(refute_0_1802,plain,
( greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))) != greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))
| greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y))) = greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y))),greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234)))) )],[refute_0_1800,refute_0_1801]) ).
cnf(refute_0_1803,plain,
greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y))) = greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(X_235,greatest_lower_bound(greatest_lower_bound(X,Y),X_234))),greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))) )],[refute_0_1708,refute_0_1802]) ).
cnf(refute_0_1804,plain,
( greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))) != greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y)))
| greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y))) != greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))
| greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))) = greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))),greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))) ),[0],$fot(greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y))))]]) ).
cnf(refute_0_1805,plain,
( greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))) != greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y)))
| greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))) = greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y))),greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))) )],[refute_0_1803,refute_0_1804]) ).
cnf(refute_0_1806,plain,
greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))) = greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))),greatest_lower_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X_234,greatest_lower_bound(X_235,Y)))) )],[refute_0_1679,refute_0_1805]) ).
cnf(refute_0_1807,plain,
( greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))) != greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))
| greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234))) = greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))))),bind(Y0,$fot(greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))))]]) ).
cnf(refute_0_1808,plain,
greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234))) = greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(Y,greatest_lower_bound(X_234,X_235))),greatest_lower_bound(X_235,greatest_lower_bound(X,greatest_lower_bound(Y,X_234)))) )],[refute_0_1806,refute_0_1807]) ).
cnf(refute_0_1809,plain,
greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_235,greatest_lower_bound(X_235,X_43)))),
inference(subst,[],[refute_0_1808:[bind(X,$fot(X_43)),bind(Y,$fot(X_44)),bind(X_234,$fot(X_235)),bind(X_235,$fot(greatest_lower_bound(X_235,X_43)))]]) ).
cnf(refute_0_1810,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_235,greatest_lower_bound(X_235,X_43)))) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)))
| greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))) != greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_235,greatest_lower_bound(X_235,X_43))))
| greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))))),bind(Y0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_235,greatest_lower_bound(X_235,X_43)))))),bind(Z0,$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)))))]]) ).
cnf(refute_0_1811,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_235,greatest_lower_bound(X_235,X_43)))) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)))
| greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))),greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_235,greatest_lower_bound(X_235,X_43))))) )],[refute_0_1809,refute_0_1810]) ).
cnf(refute_0_1812,plain,
greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_44,greatest_lower_bound(X_235,greatest_lower_bound(X_235,X_43)))),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)))) )],[refute_0_1674,refute_0_1811]) ).
cnf(refute_0_1813,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235))) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235))
| greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)))
| greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))))),bind(Y0,$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235))))),bind(Z0,$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235))))]]) ).
cnf(refute_0_1814,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235))) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235))
| greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235)))) )],[refute_0_1812,refute_0_1813]) ).
cnf(refute_0_1815,plain,
greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(X_235,X_235))),greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235))) )],[refute_0_1673,refute_0_1814]) ).
cnf(refute_0_1816,plain,
( greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235))
| greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))) != greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)) = greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))),greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44))) ),[0],$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)))]]) ).
cnf(refute_0_1817,plain,
( greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))) != greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)) = greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))),greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235))) )],[refute_0_1815,refute_0_1816]) ).
cnf(refute_0_1818,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))) = greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44)),
inference(subst,[],[refute_0_1292:[bind(Y,$fot(X_44)),bind(X_43,$fot(X_235)),bind(X_44,$fot(X_43))]]) ).
cnf(refute_0_1819,plain,
greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44) = greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44)),
inference(subst,[],[refute_0_761:[bind(X,$fot(X_235)),bind(Y,$fot(X_43)),bind(Z,$fot(X_44))]]) ).
cnf(refute_0_1820,plain,
greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44)) = greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44)),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44)))]]) ).
cnf(refute_0_1821,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44)) != greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44))
| greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44) != greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44)) = greatest_lower_bound(X_43,greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44)),greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44))) ),[1,1],$fot(greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44)))]]) ).
cnf(refute_0_1822,plain,
( greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44) != greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44)) = greatest_lower_bound(X_43,greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44)),greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44))) )],[refute_0_1820,refute_0_1821]) ).
cnf(refute_0_1823,plain,
greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44)) = greatest_lower_bound(X_43,greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44),greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))) )],[refute_0_1819,refute_0_1822]) ).
cnf(refute_0_1824,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))) != greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44)) != greatest_lower_bound(X_43,greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44)))
| greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44)) = greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44)))),bind(Y0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))))),bind(Z0,$fot(greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))))]]) ).
cnf(refute_0_1825,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))) != greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44)) = greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44)),greatest_lower_bound(X_43,greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44)))) )],[refute_0_1823,refute_0_1824]) ).
cnf(refute_0_1826,plain,
greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44)) = greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))),greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))) )],[refute_0_1818,refute_0_1825]) ).
cnf(refute_0_1827,plain,
greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44)),
inference(subst,[],[refute_0_1644:[bind(X,$fot(X_43)),bind(X_43,$fot(greatest_lower_bound(X_235,X_43)))]]) ).
cnf(refute_0_1828,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44)) != greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44)) != greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44))
| greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44)))),bind(Y0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44)))),bind(Z0,$fot(greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))))]]) ).
cnf(refute_0_1829,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44)) != greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44)),greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44))) )],[refute_0_1827,refute_0_1828]) ).
cnf(refute_0_1830,plain,
greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(greatest_lower_bound(X_235,X_43),X_44)),greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))) )],[refute_0_1826,refute_0_1829]) ).
cnf(refute_0_1831,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)) != greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44)) != greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)) = greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)),greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))) ),[0],$fot(greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44)))]]) ).
cnf(refute_0_1832,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)) != greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)) = greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44)),greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))) )],[refute_0_1830,refute_0_1831]) ).
cnf(refute_0_1833,plain,
( greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))) != greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)) = greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)),greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44))) )],[refute_0_1817,refute_0_1832]) ).
cnf(refute_0_1834,plain,
greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)) = greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_235))),greatest_lower_bound(greatest_lower_bound(X_235,X_43),greatest_lower_bound(X_43,X_44))) )],[refute_0_1664,refute_0_1833]) ).
cnf(refute_0_1835,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)) != greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)))),bind(Y0,$fot(greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))))]]) ).
cnf(refute_0_1836,plain,
greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_43,X_235)),greatest_lower_bound(X_235,greatest_lower_bound(X_43,X_44))) )],[refute_0_1834,refute_0_1835]) ).
cnf(refute_0_1837,plain,
greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266))),
inference(subst,[],[refute_0_1836:[bind(X_235,$fot(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))]]) ).
cnf(refute_0_1838,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))) != greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44)) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))
| greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))) ),[0],$fot(greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44)))]]) ).
cnf(refute_0_1839,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))) != greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44)),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))) )],[refute_0_1837,refute_0_1838]) ).
cnf(refute_0_1840,plain,
( greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))) != greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))),greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))) )],[refute_0_1659,refute_0_1839]) ).
cnf(refute_0_1841,plain,
greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))),greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_264,X_44),X_266),greatest_lower_bound(X_43,X_44))) )],[refute_0_1489,refute_0_1840]) ).
cnf(refute_0_1842,plain,
greatest_lower_bound(X_265,greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265))))) = greatest_lower_bound(X_265,greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265)))),
inference(subst,[],[refute_0_1485:[bind(X_15,$fot(X_264)),bind(X_43,$fot(X_265)),bind(X_45,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265)))))]]) ).
cnf(refute_0_1843,plain,
greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265)))) = greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,X_44)),
inference(subst,[],[refute_0_1479:[bind(X_19,$fot(least_upper_bound(X_264,X_265)))]]) ).
cnf(refute_0_1844,plain,
( greatest_lower_bound(X_265,greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265))))) != greatest_lower_bound(X_265,greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265))))
| greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265)))) != greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_265,greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,X_44))) = greatest_lower_bound(X_265,greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_265,greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265))))),greatest_lower_bound(X_265,greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265))))) ),[0,1],$fot(greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,X_44)))]]) ).
cnf(refute_0_1845,plain,
( greatest_lower_bound(X_265,greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265))))) != greatest_lower_bound(X_265,greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265))))
| greatest_lower_bound(X_265,greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,X_44))) = greatest_lower_bound(X_265,greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265)))),greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,X_44))) )],[refute_0_1843,refute_0_1844]) ).
cnf(refute_0_1846,plain,
greatest_lower_bound(X_265,greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,X_44))) = greatest_lower_bound(X_265,greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_265,greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265))))),greatest_lower_bound(X_265,greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265))))) )],[refute_0_1842,refute_0_1845]) ).
cnf(refute_0_1847,plain,
greatest_lower_bound(X_265,greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,X_44))) = greatest_lower_bound(X_265,greatest_lower_bound(X_43,X_44)),
inference(subst,[],[refute_0_1485:[bind(X_15,$fot(X_264)),bind(X_43,$fot(X_265)),bind(X_45,$fot(greatest_lower_bound(X_43,X_44)))]]) ).
cnf(refute_0_1848,plain,
( greatest_lower_bound(X_265,greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,X_44))) != greatest_lower_bound(X_265,greatest_lower_bound(X_43,X_44))
| greatest_lower_bound(X_265,greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,X_44))) != greatest_lower_bound(X_265,greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265))))
| greatest_lower_bound(X_265,greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_265,greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_265,greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,X_44))),greatest_lower_bound(X_265,greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265))))) ),[0],$fot(greatest_lower_bound(X_265,greatest_lower_bound(X_43,X_44)))]]) ).
cnf(refute_0_1849,plain,
( greatest_lower_bound(X_265,greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,X_44))) != greatest_lower_bound(X_265,greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265))))
| greatest_lower_bound(X_265,greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_265,greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_265,greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,X_44))),greatest_lower_bound(X_265,greatest_lower_bound(X_43,X_44))) )],[refute_0_1847,refute_0_1848]) ).
cnf(refute_0_1850,plain,
greatest_lower_bound(X_265,greatest_lower_bound(X_43,X_44)) = greatest_lower_bound(X_265,greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_265,greatest_lower_bound(least_upper_bound(X_264,X_265),greatest_lower_bound(X_43,X_44))),greatest_lower_bound(X_265,greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265))))) )],[refute_0_1846,refute_0_1849]) ).
cnf(refute_0_1851,plain,
( greatest_lower_bound(X_265,greatest_lower_bound(X_43,X_44)) != greatest_lower_bound(X_265,greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265))))
| greatest_lower_bound(X_265,greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265)))) = greatest_lower_bound(X_265,greatest_lower_bound(X_43,X_44)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_265,greatest_lower_bound(X_43,X_44)))),bind(Y0,$fot(greatest_lower_bound(X_265,greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265))))))]]) ).
cnf(refute_0_1852,plain,
greatest_lower_bound(X_265,greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265)))) = greatest_lower_bound(X_265,greatest_lower_bound(X_43,X_44)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_265,greatest_lower_bound(X_43,X_44)),greatest_lower_bound(X_265,greatest_lower_bound(X_43,greatest_lower_bound(X_44,least_upper_bound(X_264,X_265))))) )],[refute_0_1850,refute_0_1851]) ).
cnf(refute_0_1853,plain,
greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))) = greatest_lower_bound(X_44,greatest_lower_bound(X_266,X_43)),
inference(subst,[],[refute_0_1852:[bind(X_265,$fot(X_44)),bind(X_43,$fot(X_266)),bind(X_44,$fot(X_43))]]) ).
cnf(refute_0_1854,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))) != greatest_lower_bound(X_44,greatest_lower_bound(X_266,X_43))
| greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))
| greatest_lower_bound(X_44,greatest_lower_bound(X_266,X_43)) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))) ),[0],$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_266,X_43)))]]) ).
cnf(refute_0_1855,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))
| greatest_lower_bound(X_44,greatest_lower_bound(X_266,X_43)) = greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))),greatest_lower_bound(X_44,greatest_lower_bound(X_266,X_43))) )],[refute_0_1853,refute_0_1854]) ).
cnf(refute_0_1856,plain,
greatest_lower_bound(Y,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,Y),X_266))) = greatest_lower_bound(X_43,greatest_lower_bound(Y,greatest_lower_bound(least_upper_bound(X_264,Y),X_266))),
inference(subst,[],[refute_0_1308:[bind(X_45,$fot(greatest_lower_bound(least_upper_bound(X_264,Y),X_266)))]]) ).
cnf(refute_0_1857,plain,
greatest_lower_bound(Y,greatest_lower_bound(least_upper_bound(X_264,Y),X_266)) = greatest_lower_bound(Y,X_266),
inference(subst,[],[refute_0_1485:[bind(X_15,$fot(X_264)),bind(X_43,$fot(Y)),bind(X_45,$fot(X_266))]]) ).
cnf(refute_0_1858,plain,
( greatest_lower_bound(Y,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,Y),X_266))) != greatest_lower_bound(X_43,greatest_lower_bound(Y,greatest_lower_bound(least_upper_bound(X_264,Y),X_266)))
| greatest_lower_bound(Y,greatest_lower_bound(least_upper_bound(X_264,Y),X_266)) != greatest_lower_bound(Y,X_266)
| greatest_lower_bound(Y,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,Y),X_266))) = greatest_lower_bound(X_43,greatest_lower_bound(Y,X_266)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,Y),X_266))),greatest_lower_bound(X_43,greatest_lower_bound(Y,greatest_lower_bound(least_upper_bound(X_264,Y),X_266)))) ),[1,1],$fot(greatest_lower_bound(Y,X_266))]]) ).
cnf(refute_0_1859,plain,
( greatest_lower_bound(Y,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,Y),X_266))) != greatest_lower_bound(X_43,greatest_lower_bound(Y,greatest_lower_bound(least_upper_bound(X_264,Y),X_266)))
| greatest_lower_bound(Y,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,Y),X_266))) = greatest_lower_bound(X_43,greatest_lower_bound(Y,X_266)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(least_upper_bound(X_264,Y),X_266)),greatest_lower_bound(Y,X_266)) )],[refute_0_1857,refute_0_1858]) ).
cnf(refute_0_1860,plain,
greatest_lower_bound(Y,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,Y),X_266))) = greatest_lower_bound(X_43,greatest_lower_bound(Y,X_266)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,Y),X_266))),greatest_lower_bound(X_43,greatest_lower_bound(Y,greatest_lower_bound(least_upper_bound(X_264,Y),X_266)))) )],[refute_0_1856,refute_0_1859]) ).
cnf(refute_0_1861,plain,
greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266))) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266)),
inference(subst,[],[refute_0_1860:[bind(Y,$fot(X_44))]]) ).
cnf(refute_0_1862,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(X_266,X_43)) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))
| greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266))) != greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))
| greatest_lower_bound(X_44,greatest_lower_bound(X_266,X_43)) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_266,X_43)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))) ),[0],$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266))))]]) ).
cnf(refute_0_1863,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(X_266,X_43)) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))
| greatest_lower_bound(X_44,greatest_lower_bound(X_266,X_43)) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266))),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))) )],[refute_0_1861,refute_0_1862]) ).
cnf(refute_0_1864,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))) != greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))
| greatest_lower_bound(X_44,greatest_lower_bound(X_266,X_43)) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_266,X_43)),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))) )],[refute_0_1855,refute_0_1863]) ).
cnf(refute_0_1865,plain,
greatest_lower_bound(X_44,greatest_lower_bound(X_266,X_43)) = greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_266,greatest_lower_bound(X_43,least_upper_bound(X_264,X_44)))),greatest_lower_bound(X_44,greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_264,X_44),X_266)))) )],[refute_0_1841,refute_0_1864]) ).
cnf(refute_0_1866,plain,
greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_43,identity)) = greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),X_43)),
inference(subst,[],[refute_0_1865:[bind(X_266,$fot(X_43)),bind(X_43,$fot(identity)),bind(X_44,$fot(multiply(X_426,greatest_lower_bound(X_427,identity))))]]) ).
cnf(refute_0_1867,plain,
( greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_43,identity)) != greatest_lower_bound(X_43,greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427))))
| greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_43,identity)) != greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),X_43))
| greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),X_43)) = greatest_lower_bound(X_43,greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_43,identity)),greatest_lower_bound(X_43,greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427))))) ),[0],$fot(greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),X_43)))]]) ).
cnf(refute_0_1868,plain,
( greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_43,identity)) != greatest_lower_bound(X_43,greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427))))
| greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),X_43)) = greatest_lower_bound(X_43,greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_43,identity)),greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),X_43))) )],[refute_0_1866,refute_0_1867]) ).
cnf(refute_0_1869,plain,
greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),X_43)) = greatest_lower_bound(X_43,greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_43,identity)),greatest_lower_bound(X_43,greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427))))) )],[refute_0_1472,refute_0_1868]) ).
cnf(refute_0_1870,plain,
( greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),X_43)) != greatest_lower_bound(X_43,greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427))))
| greatest_lower_bound(X_43,greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))) = greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),X_43)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),X_43)))),bind(Y0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427))))))]]) ).
cnf(refute_0_1871,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))) = greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),X_43)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),X_43)),greatest_lower_bound(X_43,greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427))))) )],[refute_0_1869,refute_0_1870]) ).
cnf(refute_0_1872,plain,
greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))) = greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity)))),
inference(subst,[],[refute_0_1871:[bind(X_43,$fot(multiply(X_426,greatest_lower_bound(X_427,identity))))]]) ).
cnf(refute_0_1873,plain,
( greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))) != greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity))))
| greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity)))) != greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity)))
| greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))) = greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))))),bind(Y0,$fot(greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity)))))),bind(Z0,$fot(greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity)))))]]) ).
cnf(refute_0_1874,plain,
( greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity)))) != greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity)))
| greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))) = greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))),greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity))))) )],[refute_0_1872,refute_0_1873]) ).
cnf(refute_0_1875,plain,
greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))) = greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),multiply(X_426,greatest_lower_bound(X_427,identity)))),greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity)))) )],[refute_0_1468,refute_0_1874]) ).
cnf(refute_0_1876,plain,
( greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))) != greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity)
| greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))) != greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity)))
| greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))) = greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))),greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity)) ),[0],$fot(greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))))]]) ).
cnf(refute_0_1877,plain,
( greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))) != greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity)
| greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))) = greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))),greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity)))) )],[refute_0_1875,refute_0_1876]) ).
cnf(refute_0_1878,plain,
multiply(X_66,greatest_lower_bound(multiply(inverse(X_66),X_57),X_68)) = greatest_lower_bound(multiply(X_66,multiply(inverse(X_66),X_57)),multiply(X_66,X_68)),
inference(subst,[],[monotony_glb1:[bind(X,$fot(X_66)),bind(Y,$fot(multiply(inverse(X_66),X_57))),bind(Z,$fot(X_68))]]) ).
cnf(refute_0_1879,plain,
( multiply(X_66,multiply(inverse(X_66),X_57)) != X_57
| multiply(X_66,greatest_lower_bound(multiply(inverse(X_66),X_57),X_68)) != greatest_lower_bound(multiply(X_66,multiply(inverse(X_66),X_57)),multiply(X_66,X_68))
| multiply(X_66,greatest_lower_bound(multiply(inverse(X_66),X_57),X_68)) = greatest_lower_bound(X_57,multiply(X_66,X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_66,greatest_lower_bound(multiply(inverse(X_66),X_57),X_68)),greatest_lower_bound(multiply(X_66,multiply(inverse(X_66),X_57)),multiply(X_66,X_68))) ),[1,0],$fot(X_57)]]) ).
cnf(refute_0_1880,plain,
( multiply(X_66,greatest_lower_bound(multiply(inverse(X_66),X_57),X_68)) != greatest_lower_bound(multiply(X_66,multiply(inverse(X_66),X_57)),multiply(X_66,X_68))
| multiply(X_66,greatest_lower_bound(multiply(inverse(X_66),X_57),X_68)) = greatest_lower_bound(X_57,multiply(X_66,X_68)) ),
inference(resolve,[$cnf( $equal(multiply(X_66,multiply(inverse(X_66),X_57)),X_57) )],[refute_0_546,refute_0_1879]) ).
cnf(refute_0_1881,plain,
multiply(X_66,greatest_lower_bound(multiply(inverse(X_66),X_57),X_68)) = greatest_lower_bound(X_57,multiply(X_66,X_68)),
inference(resolve,[$cnf( $equal(multiply(X_66,greatest_lower_bound(multiply(inverse(X_66),X_57),X_68)),greatest_lower_bound(multiply(X_66,multiply(inverse(X_66),X_57)),multiply(X_66,X_68))) )],[refute_0_1878,refute_0_1880]) ).
cnf(refute_0_1882,plain,
multiply(X_376,greatest_lower_bound(multiply(inverse(X_376),X_375),greatest_lower_bound(X,Y))) = greatest_lower_bound(X_375,multiply(X_376,greatest_lower_bound(X,Y))),
inference(subst,[],[refute_0_1881:[bind(X_57,$fot(X_375)),bind(X_66,$fot(X_376)),bind(X_68,$fot(greatest_lower_bound(X,Y)))]]) ).
cnf(refute_0_1883,plain,
greatest_lower_bound(Y,greatest_lower_bound(X,multiply(inverse(X_376),X_375))) = greatest_lower_bound(multiply(inverse(X_376),X_375),greatest_lower_bound(X,Y)),
inference(subst,[],[refute_0_1601:[bind(X_104,$fot(multiply(inverse(X_376),X_375)))]]) ).
cnf(refute_0_1884,plain,
( greatest_lower_bound(Y,greatest_lower_bound(X,multiply(inverse(X_376),X_375))) != greatest_lower_bound(multiply(inverse(X_376),X_375),greatest_lower_bound(X,Y))
| greatest_lower_bound(multiply(inverse(X_376),X_375),greatest_lower_bound(X,Y)) = greatest_lower_bound(Y,greatest_lower_bound(X,multiply(inverse(X_376),X_375))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(Y,greatest_lower_bound(X,multiply(inverse(X_376),X_375))))),bind(Y0,$fot(greatest_lower_bound(multiply(inverse(X_376),X_375),greatest_lower_bound(X,Y))))]]) ).
cnf(refute_0_1885,plain,
greatest_lower_bound(multiply(inverse(X_376),X_375),greatest_lower_bound(X,Y)) = greatest_lower_bound(Y,greatest_lower_bound(X,multiply(inverse(X_376),X_375))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(X,multiply(inverse(X_376),X_375))),greatest_lower_bound(multiply(inverse(X_376),X_375),greatest_lower_bound(X,Y))) )],[refute_0_1883,refute_0_1884]) ).
cnf(refute_0_1886,plain,
( multiply(X_376,greatest_lower_bound(multiply(inverse(X_376),X_375),greatest_lower_bound(X,Y))) != greatest_lower_bound(X_375,multiply(X_376,greatest_lower_bound(X,Y)))
| greatest_lower_bound(multiply(inverse(X_376),X_375),greatest_lower_bound(X,Y)) != greatest_lower_bound(Y,greatest_lower_bound(X,multiply(inverse(X_376),X_375)))
| multiply(X_376,greatest_lower_bound(Y,greatest_lower_bound(X,multiply(inverse(X_376),X_375)))) = greatest_lower_bound(X_375,multiply(X_376,greatest_lower_bound(X,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_376,greatest_lower_bound(multiply(inverse(X_376),X_375),greatest_lower_bound(X,Y))),greatest_lower_bound(X_375,multiply(X_376,greatest_lower_bound(X,Y)))) ),[0,1],$fot(greatest_lower_bound(Y,greatest_lower_bound(X,multiply(inverse(X_376),X_375))))]]) ).
cnf(refute_0_1887,plain,
( multiply(X_376,greatest_lower_bound(multiply(inverse(X_376),X_375),greatest_lower_bound(X,Y))) != greatest_lower_bound(X_375,multiply(X_376,greatest_lower_bound(X,Y)))
| multiply(X_376,greatest_lower_bound(Y,greatest_lower_bound(X,multiply(inverse(X_376),X_375)))) = greatest_lower_bound(X_375,multiply(X_376,greatest_lower_bound(X,Y))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(inverse(X_376),X_375),greatest_lower_bound(X,Y)),greatest_lower_bound(Y,greatest_lower_bound(X,multiply(inverse(X_376),X_375)))) )],[refute_0_1885,refute_0_1886]) ).
cnf(refute_0_1888,plain,
multiply(X_376,greatest_lower_bound(Y,greatest_lower_bound(X,multiply(inverse(X_376),X_375)))) = greatest_lower_bound(X_375,multiply(X_376,greatest_lower_bound(X,Y))),
inference(resolve,[$cnf( $equal(multiply(X_376,greatest_lower_bound(multiply(inverse(X_376),X_375),greatest_lower_bound(X,Y))),greatest_lower_bound(X_375,multiply(X_376,greatest_lower_bound(X,Y)))) )],[refute_0_1882,refute_0_1887]) ).
cnf(refute_0_1889,plain,
multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_170,multiply(inverse(X),X_168)))) = greatest_lower_bound(multiply(X,Y),multiply(X,greatest_lower_bound(X_170,multiply(inverse(X),X_168)))),
inference(subst,[],[monotony_glb1:[bind(Z,$fot(greatest_lower_bound(X_170,multiply(inverse(X),X_168))))]]) ).
cnf(refute_0_1890,plain,
multiply(X,greatest_lower_bound(X_170,multiply(inverse(X),X_168))) = greatest_lower_bound(multiply(X,X_170),X_168),
inference(subst,[],[refute_0_549:[bind(X_57,$fot(X_168)),bind(X_66,$fot(X)),bind(X_67,$fot(X_170))]]) ).
cnf(refute_0_1891,plain,
( multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_170,multiply(inverse(X),X_168)))) != greatest_lower_bound(multiply(X,Y),multiply(X,greatest_lower_bound(X_170,multiply(inverse(X),X_168))))
| multiply(X,greatest_lower_bound(X_170,multiply(inverse(X),X_168))) != greatest_lower_bound(multiply(X,X_170),X_168)
| multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_170,multiply(inverse(X),X_168)))) = greatest_lower_bound(multiply(X,Y),greatest_lower_bound(multiply(X,X_170),X_168)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_170,multiply(inverse(X),X_168)))),greatest_lower_bound(multiply(X,Y),multiply(X,greatest_lower_bound(X_170,multiply(inverse(X),X_168))))) ),[1,1],$fot(greatest_lower_bound(multiply(X,X_170),X_168))]]) ).
cnf(refute_0_1892,plain,
( multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_170,multiply(inverse(X),X_168)))) != greatest_lower_bound(multiply(X,Y),multiply(X,greatest_lower_bound(X_170,multiply(inverse(X),X_168))))
| multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_170,multiply(inverse(X),X_168)))) = greatest_lower_bound(multiply(X,Y),greatest_lower_bound(multiply(X,X_170),X_168)) ),
inference(resolve,[$cnf( $equal(multiply(X,greatest_lower_bound(X_170,multiply(inverse(X),X_168))),greatest_lower_bound(multiply(X,X_170),X_168)) )],[refute_0_1890,refute_0_1891]) ).
cnf(refute_0_1893,plain,
multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_170,multiply(inverse(X),X_168)))) = greatest_lower_bound(multiply(X,Y),greatest_lower_bound(multiply(X,X_170),X_168)),
inference(resolve,[$cnf( $equal(multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_170,multiply(inverse(X),X_168)))),greatest_lower_bound(multiply(X,Y),multiply(X,greatest_lower_bound(X_170,multiply(inverse(X),X_168))))) )],[refute_0_1889,refute_0_1892]) ).
cnf(refute_0_1894,plain,
greatest_lower_bound(multiply(X_66,X_67),greatest_lower_bound(multiply(X_66,X_68),Z)) = greatest_lower_bound(greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,X_68)),Z),
inference(subst,[],[associativity_of_glb:[bind(X,$fot(multiply(X_66,X_67))),bind(Y,$fot(multiply(X_66,X_68)))]]) ).
cnf(refute_0_1895,plain,
( greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,X_68)) != multiply(X_66,greatest_lower_bound(X_67,X_68))
| greatest_lower_bound(multiply(X_66,X_67),greatest_lower_bound(multiply(X_66,X_68),Z)) != greatest_lower_bound(greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,X_68)),Z)
| greatest_lower_bound(multiply(X_66,X_67),greatest_lower_bound(multiply(X_66,X_68),Z)) = greatest_lower_bound(multiply(X_66,greatest_lower_bound(X_67,X_68)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(multiply(X_66,X_67),greatest_lower_bound(multiply(X_66,X_68),Z)),greatest_lower_bound(greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,X_68)),Z)) ),[1,0],$fot(multiply(X_66,greatest_lower_bound(X_67,X_68)))]]) ).
cnf(refute_0_1896,plain,
( greatest_lower_bound(multiply(X_66,X_67),greatest_lower_bound(multiply(X_66,X_68),Z)) != greatest_lower_bound(greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,X_68)),Z)
| greatest_lower_bound(multiply(X_66,X_67),greatest_lower_bound(multiply(X_66,X_68),Z)) = greatest_lower_bound(multiply(X_66,greatest_lower_bound(X_67,X_68)),Z) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,X_68)),multiply(X_66,greatest_lower_bound(X_67,X_68))) )],[refute_0_239,refute_0_1895]) ).
cnf(refute_0_1897,plain,
greatest_lower_bound(multiply(X_66,X_67),greatest_lower_bound(multiply(X_66,X_68),Z)) = greatest_lower_bound(multiply(X_66,greatest_lower_bound(X_67,X_68)),Z),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_66,X_67),greatest_lower_bound(multiply(X_66,X_68),Z)),greatest_lower_bound(greatest_lower_bound(multiply(X_66,X_67),multiply(X_66,X_68)),Z)) )],[refute_0_1894,refute_0_1896]) ).
cnf(refute_0_1898,plain,
greatest_lower_bound(multiply(X,Y),greatest_lower_bound(multiply(X,X_170),X_168)) = greatest_lower_bound(multiply(X,greatest_lower_bound(Y,X_170)),X_168),
inference(subst,[],[refute_0_1897:[bind(Z,$fot(X_168)),bind(X_66,$fot(X)),bind(X_67,$fot(Y)),bind(X_68,$fot(X_170))]]) ).
cnf(refute_0_1899,plain,
( multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_170,multiply(inverse(X),X_168)))) != greatest_lower_bound(multiply(X,Y),greatest_lower_bound(multiply(X,X_170),X_168))
| greatest_lower_bound(multiply(X,Y),greatest_lower_bound(multiply(X,X_170),X_168)) != greatest_lower_bound(multiply(X,greatest_lower_bound(Y,X_170)),X_168)
| multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_170,multiply(inverse(X),X_168)))) = greatest_lower_bound(multiply(X,greatest_lower_bound(Y,X_170)),X_168) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_170,multiply(inverse(X),X_168)))),greatest_lower_bound(multiply(X,greatest_lower_bound(Y,X_170)),X_168)) ),[0],$fot(greatest_lower_bound(multiply(X,Y),greatest_lower_bound(multiply(X,X_170),X_168)))]]) ).
cnf(refute_0_1900,plain,
( multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_170,multiply(inverse(X),X_168)))) != greatest_lower_bound(multiply(X,Y),greatest_lower_bound(multiply(X,X_170),X_168))
| multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_170,multiply(inverse(X),X_168)))) = greatest_lower_bound(multiply(X,greatest_lower_bound(Y,X_170)),X_168) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X,Y),greatest_lower_bound(multiply(X,X_170),X_168)),greatest_lower_bound(multiply(X,greatest_lower_bound(Y,X_170)),X_168)) )],[refute_0_1898,refute_0_1899]) ).
cnf(refute_0_1901,plain,
multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_170,multiply(inverse(X),X_168)))) = greatest_lower_bound(multiply(X,greatest_lower_bound(Y,X_170)),X_168),
inference(resolve,[$cnf( $equal(multiply(X,greatest_lower_bound(Y,greatest_lower_bound(X_170,multiply(inverse(X),X_168)))),greatest_lower_bound(multiply(X,Y),greatest_lower_bound(multiply(X,X_170),X_168))) )],[refute_0_1893,refute_0_1900]) ).
cnf(refute_0_1902,plain,
multiply(X_376,greatest_lower_bound(Y,greatest_lower_bound(X,multiply(inverse(X_376),X_375)))) = greatest_lower_bound(multiply(X_376,greatest_lower_bound(Y,X)),X_375),
inference(subst,[],[refute_0_1901:[bind(X,$fot(X_376)),bind(X_168,$fot(X_375)),bind(X_170,$fot(X))]]) ).
cnf(refute_0_1903,plain,
( multiply(X_376,greatest_lower_bound(Y,greatest_lower_bound(X,multiply(inverse(X_376),X_375)))) != greatest_lower_bound(X_375,multiply(X_376,greatest_lower_bound(X,Y)))
| multiply(X_376,greatest_lower_bound(Y,greatest_lower_bound(X,multiply(inverse(X_376),X_375)))) != greatest_lower_bound(multiply(X_376,greatest_lower_bound(Y,X)),X_375)
| greatest_lower_bound(multiply(X_376,greatest_lower_bound(Y,X)),X_375) = greatest_lower_bound(X_375,multiply(X_376,greatest_lower_bound(X,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_376,greatest_lower_bound(Y,greatest_lower_bound(X,multiply(inverse(X_376),X_375)))),greatest_lower_bound(X_375,multiply(X_376,greatest_lower_bound(X,Y)))) ),[0],$fot(greatest_lower_bound(multiply(X_376,greatest_lower_bound(Y,X)),X_375))]]) ).
cnf(refute_0_1904,plain,
( multiply(X_376,greatest_lower_bound(Y,greatest_lower_bound(X,multiply(inverse(X_376),X_375)))) != greatest_lower_bound(X_375,multiply(X_376,greatest_lower_bound(X,Y)))
| greatest_lower_bound(multiply(X_376,greatest_lower_bound(Y,X)),X_375) = greatest_lower_bound(X_375,multiply(X_376,greatest_lower_bound(X,Y))) ),
inference(resolve,[$cnf( $equal(multiply(X_376,greatest_lower_bound(Y,greatest_lower_bound(X,multiply(inverse(X_376),X_375)))),greatest_lower_bound(multiply(X_376,greatest_lower_bound(Y,X)),X_375)) )],[refute_0_1902,refute_0_1903]) ).
cnf(refute_0_1905,plain,
greatest_lower_bound(multiply(X_376,greatest_lower_bound(Y,X)),X_375) = greatest_lower_bound(X_375,multiply(X_376,greatest_lower_bound(X,Y))),
inference(resolve,[$cnf( $equal(multiply(X_376,greatest_lower_bound(Y,greatest_lower_bound(X,multiply(inverse(X_376),X_375)))),greatest_lower_bound(X_375,multiply(X_376,greatest_lower_bound(X,Y)))) )],[refute_0_1888,refute_0_1904]) ).
cnf(refute_0_1906,plain,
greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity) = greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(identity,X_427))),
inference(subst,[],[refute_0_1905:[bind(X,$fot(identity)),bind(Y,$fot(X_427)),bind(X_375,$fot(identity)),bind(X_376,$fot(X_426))]]) ).
cnf(refute_0_1907,plain,
( greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity) != greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(identity,X_427)))
| greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))) != greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity)
| greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))) = greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(identity,X_427))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))),greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity)) ),[1],$fot(greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(identity,X_427))))]]) ).
cnf(refute_0_1908,plain,
( greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))) != greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity)
| greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))) = greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(identity,X_427))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity),greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(identity,X_427)))) )],[refute_0_1906,refute_0_1907]) ).
cnf(refute_0_1909,plain,
( greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))) != greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity)
| greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))) = greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(identity,X_427))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))),greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity)) )],[refute_0_1877,refute_0_1908]) ).
cnf(refute_0_1910,plain,
greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(X_427,identity))) = greatest_lower_bound(identity,multiply(X_426,greatest_lower_bound(identity,X_427))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),greatest_lower_bound(X_426,greatest_lower_bound(identity,multiply(X_426,X_427)))),greatest_lower_bound(multiply(X_426,greatest_lower_bound(X_427,identity)),identity)) )],[refute_0_1455,refute_0_1909]) ).
cnf(refute_0_1911,plain,
greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))) = greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146)))),
inference(subst,[],[refute_0_1910:[bind(X_426,$fot(least_upper_bound(identity,X_146))),bind(X_427,$fot(inverse(X_146)))]]) ).
cnf(refute_0_1912,plain,
( greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146)))) != greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146))))
| greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))) != greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146))))
| greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))) = greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146)))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))))),bind(Y0,$fot(greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146)))))),bind(Z0,$fot(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146))))))]]) ).
cnf(refute_0_1913,plain,
( greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146)))) != greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146))))
| greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))) = greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))),greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146))))) )],[refute_0_1911,refute_0_1912]) ).
cnf(refute_0_1914,plain,
greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))) = greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(identity,inverse(X_146)))),greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146))))) )],[refute_0_1450,refute_0_1913]) ).
cnf(refute_0_1915,plain,
( greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))) != greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146))))
| greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))) != greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146))))
| greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146)))) = greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))),greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146))))) ),[0],$fot(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146)))))]]) ).
cnf(refute_0_1916,plain,
( greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))) != greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146))))
| greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146)))) = greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))),greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146))))) )],[refute_0_1914,refute_0_1915]) ).
cnf(refute_0_1917,plain,
greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146))) = identity,
inference(subst,[],[glb_absorbtion:[bind(X,$fot(identity)),bind(Y,$fot(inverse(X_146)))]]) ).
cnf(refute_0_1918,plain,
greatest_lower_bound(least_upper_bound(X_15,X_118),greatest_lower_bound(X_117,X_118)) = greatest_lower_bound(X_117,greatest_lower_bound(X_118,least_upper_bound(X_15,X_118))),
inference(subst,[],[refute_0_1281:[bind(X,$fot(least_upper_bound(X_15,X_118))),bind(X_43,$fot(X_117)),bind(X_44,$fot(X_118))]]) ).
cnf(refute_0_1919,plain,
greatest_lower_bound(X_118,least_upper_bound(X_15,X_118)) = X_118,
inference(subst,[],[refute_0_450:[bind(X_14,$fot(X_118))]]) ).
cnf(refute_0_1920,plain,
( greatest_lower_bound(X_118,least_upper_bound(X_15,X_118)) != X_118
| greatest_lower_bound(least_upper_bound(X_15,X_118),greatest_lower_bound(X_117,X_118)) != greatest_lower_bound(X_117,greatest_lower_bound(X_118,least_upper_bound(X_15,X_118)))
| greatest_lower_bound(least_upper_bound(X_15,X_118),greatest_lower_bound(X_117,X_118)) = greatest_lower_bound(X_117,X_118) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_15,X_118),greatest_lower_bound(X_117,X_118)),greatest_lower_bound(X_117,greatest_lower_bound(X_118,least_upper_bound(X_15,X_118)))) ),[1,1],$fot(X_118)]]) ).
cnf(refute_0_1921,plain,
( greatest_lower_bound(least_upper_bound(X_15,X_118),greatest_lower_bound(X_117,X_118)) != greatest_lower_bound(X_117,greatest_lower_bound(X_118,least_upper_bound(X_15,X_118)))
| greatest_lower_bound(least_upper_bound(X_15,X_118),greatest_lower_bound(X_117,X_118)) = greatest_lower_bound(X_117,X_118) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_118,least_upper_bound(X_15,X_118)),X_118) )],[refute_0_1919,refute_0_1920]) ).
cnf(refute_0_1922,plain,
greatest_lower_bound(least_upper_bound(X_15,X_118),greatest_lower_bound(X_117,X_118)) = greatest_lower_bound(X_117,X_118),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_15,X_118),greatest_lower_bound(X_117,X_118)),greatest_lower_bound(X_117,greatest_lower_bound(X_118,least_upper_bound(X_15,X_118)))) )],[refute_0_1918,refute_0_1921]) ).
cnf(refute_0_1923,plain,
greatest_lower_bound(X_116,greatest_lower_bound(X_117,greatest_lower_bound(Y,X_117))) = greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)),
inference(subst,[],[refute_0_1281:[bind(X,$fot(X_116)),bind(X_43,$fot(X_117)),bind(X_44,$fot(greatest_lower_bound(Y,X_117)))]]) ).
cnf(refute_0_1924,plain,
greatest_lower_bound(X_117,greatest_lower_bound(Y,X_117)) = greatest_lower_bound(X_117,Y),
inference(subst,[],[refute_0_765:[bind(X_19,$fot(X_117))]]) ).
cnf(refute_0_1925,plain,
( greatest_lower_bound(X_116,greatest_lower_bound(X_117,greatest_lower_bound(Y,X_117))) != greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116))
| greatest_lower_bound(X_117,greatest_lower_bound(Y,X_117)) != greatest_lower_bound(X_117,Y)
| greatest_lower_bound(X_116,greatest_lower_bound(X_117,Y)) = greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_116,greatest_lower_bound(X_117,greatest_lower_bound(Y,X_117))),greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116))) ),[0,1],$fot(greatest_lower_bound(X_117,Y))]]) ).
cnf(refute_0_1926,plain,
( greatest_lower_bound(X_116,greatest_lower_bound(X_117,greatest_lower_bound(Y,X_117))) != greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116))
| greatest_lower_bound(X_116,greatest_lower_bound(X_117,Y)) = greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_117,greatest_lower_bound(Y,X_117)),greatest_lower_bound(X_117,Y)) )],[refute_0_1924,refute_0_1925]) ).
cnf(refute_0_1927,plain,
greatest_lower_bound(X_116,greatest_lower_bound(X_117,Y)) = greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_116,greatest_lower_bound(X_117,greatest_lower_bound(Y,X_117))),greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116))) )],[refute_0_1923,refute_0_1926]) ).
cnf(refute_0_1928,plain,
greatest_lower_bound(X_117,greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))) = greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116)),
inference(subst,[],[refute_0_1292:[bind(Y,$fot(X_116)),bind(X_43,$fot(Y)),bind(X_44,$fot(X_117))]]) ).
cnf(refute_0_1929,plain,
greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116) = greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116)),
inference(subst,[],[refute_0_761:[bind(X,$fot(Y)),bind(Y,$fot(X_117)),bind(Z,$fot(X_116))]]) ).
cnf(refute_0_1930,plain,
greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)) = greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)))]]) ).
cnf(refute_0_1931,plain,
( greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)) != greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116))
| greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116) != greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))
| greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)) = greatest_lower_bound(X_117,greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)),greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116))) ),[1,1],$fot(greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116)))]]) ).
cnf(refute_0_1932,plain,
( greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116) != greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))
| greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)) = greatest_lower_bound(X_117,greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)),greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116))) )],[refute_0_1930,refute_0_1931]) ).
cnf(refute_0_1933,plain,
greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)) = greatest_lower_bound(X_117,greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116),greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))) )],[refute_0_1929,refute_0_1932]) ).
cnf(refute_0_1934,plain,
( greatest_lower_bound(X_117,greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))) != greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))
| greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)) != greatest_lower_bound(X_117,greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116)))
| greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)) = greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)))),bind(Y0,$fot(greatest_lower_bound(X_117,greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))))),bind(Z0,$fot(greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))))]]) ).
cnf(refute_0_1935,plain,
( greatest_lower_bound(X_117,greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))) != greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))
| greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)) = greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)),greatest_lower_bound(X_117,greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116)))) )],[refute_0_1933,refute_0_1934]) ).
cnf(refute_0_1936,plain,
greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)) = greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_117,greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))),greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))) )],[refute_0_1928,refute_0_1935]) ).
cnf(refute_0_1937,plain,
( greatest_lower_bound(X_116,greatest_lower_bound(X_117,Y)) != greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116))
| greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)) != greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))
| greatest_lower_bound(X_116,greatest_lower_bound(X_117,Y)) = greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(X_116,greatest_lower_bound(X_117,Y)),greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))) ),[0],$fot(greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)))]]) ).
cnf(refute_0_1938,plain,
( greatest_lower_bound(X_116,greatest_lower_bound(X_117,Y)) != greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116))
| greatest_lower_bound(X_116,greatest_lower_bound(X_117,Y)) = greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116)),greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))) )],[refute_0_1936,refute_0_1937]) ).
cnf(refute_0_1939,plain,
greatest_lower_bound(X_116,greatest_lower_bound(X_117,Y)) = greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_116,greatest_lower_bound(X_117,Y)),greatest_lower_bound(X_117,greatest_lower_bound(greatest_lower_bound(Y,X_117),X_116))) )],[refute_0_1927,refute_0_1938]) ).
cnf(refute_0_1940,plain,
( greatest_lower_bound(X_116,greatest_lower_bound(X_117,Y)) != greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))
| greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116)) = greatest_lower_bound(X_116,greatest_lower_bound(X_117,Y)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_116,greatest_lower_bound(X_117,Y)))),bind(Y0,$fot(greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))))]]) ).
cnf(refute_0_1941,plain,
greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116)) = greatest_lower_bound(X_116,greatest_lower_bound(X_117,Y)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_116,greatest_lower_bound(X_117,Y)),greatest_lower_bound(Y,greatest_lower_bound(X_117,X_116))) )],[refute_0_1939,refute_0_1940]) ).
cnf(refute_0_1942,plain,
greatest_lower_bound(least_upper_bound(X_15,X_118),greatest_lower_bound(X_117,X_118)) = greatest_lower_bound(X_118,greatest_lower_bound(X_117,least_upper_bound(X_15,X_118))),
inference(subst,[],[refute_0_1941:[bind(Y,$fot(least_upper_bound(X_15,X_118))),bind(X_116,$fot(X_118))]]) ).
cnf(refute_0_1943,plain,
( greatest_lower_bound(least_upper_bound(X_15,X_118),greatest_lower_bound(X_117,X_118)) != greatest_lower_bound(X_117,X_118)
| greatest_lower_bound(least_upper_bound(X_15,X_118),greatest_lower_bound(X_117,X_118)) != greatest_lower_bound(X_118,greatest_lower_bound(X_117,least_upper_bound(X_15,X_118)))
| greatest_lower_bound(X_118,greatest_lower_bound(X_117,least_upper_bound(X_15,X_118))) = greatest_lower_bound(X_117,X_118) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_15,X_118),greatest_lower_bound(X_117,X_118)),greatest_lower_bound(X_117,X_118)) ),[0],$fot(greatest_lower_bound(X_118,greatest_lower_bound(X_117,least_upper_bound(X_15,X_118))))]]) ).
cnf(refute_0_1944,plain,
( greatest_lower_bound(least_upper_bound(X_15,X_118),greatest_lower_bound(X_117,X_118)) != greatest_lower_bound(X_117,X_118)
| greatest_lower_bound(X_118,greatest_lower_bound(X_117,least_upper_bound(X_15,X_118))) = greatest_lower_bound(X_117,X_118) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_15,X_118),greatest_lower_bound(X_117,X_118)),greatest_lower_bound(X_118,greatest_lower_bound(X_117,least_upper_bound(X_15,X_118)))) )],[refute_0_1942,refute_0_1943]) ).
cnf(refute_0_1945,plain,
greatest_lower_bound(X_118,greatest_lower_bound(X_117,least_upper_bound(X_15,X_118))) = greatest_lower_bound(X_117,X_118),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_15,X_118),greatest_lower_bound(X_117,X_118)),greatest_lower_bound(X_117,X_118)) )],[refute_0_1922,refute_0_1944]) ).
cnf(refute_0_1946,plain,
greatest_lower_bound(least_upper_bound(X_15,X_374),greatest_lower_bound(X_372,least_upper_bound(X_374,least_upper_bound(X_15,X_374)))) = greatest_lower_bound(X_372,least_upper_bound(X_15,X_374)),
inference(subst,[],[refute_0_1945:[bind(X_117,$fot(X_372)),bind(X_118,$fot(least_upper_bound(X_15,X_374))),bind(X_15,$fot(X_374))]]) ).
cnf(refute_0_1947,plain,
least_upper_bound(X_374,least_upper_bound(X_15,X_374)) = least_upper_bound(X_374,X_15),
inference(subst,[],[refute_0_438:[bind(X_11,$fot(X_374))]]) ).
cnf(refute_0_1948,plain,
( greatest_lower_bound(least_upper_bound(X_15,X_374),greatest_lower_bound(X_372,least_upper_bound(X_374,least_upper_bound(X_15,X_374)))) != greatest_lower_bound(X_372,least_upper_bound(X_15,X_374))
| least_upper_bound(X_374,least_upper_bound(X_15,X_374)) != least_upper_bound(X_374,X_15)
| greatest_lower_bound(least_upper_bound(X_15,X_374),greatest_lower_bound(X_372,least_upper_bound(X_374,X_15))) = greatest_lower_bound(X_372,least_upper_bound(X_15,X_374)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_15,X_374),greatest_lower_bound(X_372,least_upper_bound(X_374,least_upper_bound(X_15,X_374)))),greatest_lower_bound(X_372,least_upper_bound(X_15,X_374))) ),[0,1,1],$fot(least_upper_bound(X_374,X_15))]]) ).
cnf(refute_0_1949,plain,
( greatest_lower_bound(least_upper_bound(X_15,X_374),greatest_lower_bound(X_372,least_upper_bound(X_374,least_upper_bound(X_15,X_374)))) != greatest_lower_bound(X_372,least_upper_bound(X_15,X_374))
| greatest_lower_bound(least_upper_bound(X_15,X_374),greatest_lower_bound(X_372,least_upper_bound(X_374,X_15))) = greatest_lower_bound(X_372,least_upper_bound(X_15,X_374)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_374,least_upper_bound(X_15,X_374)),least_upper_bound(X_374,X_15)) )],[refute_0_1947,refute_0_1948]) ).
cnf(refute_0_1950,plain,
greatest_lower_bound(least_upper_bound(X_15,X_374),greatest_lower_bound(X_372,least_upper_bound(X_374,X_15))) = greatest_lower_bound(X_372,least_upper_bound(X_15,X_374)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_15,X_374),greatest_lower_bound(X_372,least_upper_bound(X_374,least_upper_bound(X_15,X_374)))),greatest_lower_bound(X_372,least_upper_bound(X_15,X_374))) )],[refute_0_1946,refute_0_1949]) ).
cnf(refute_0_1951,plain,
greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(X_117,least_upper_bound(X_15,X_19))) = greatest_lower_bound(X_117,greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,X_15))),
inference(subst,[],[refute_0_1281:[bind(X,$fot(least_upper_bound(X_19,X_15))),bind(X_43,$fot(X_117)),bind(X_44,$fot(least_upper_bound(X_15,X_19)))]]) ).
cnf(refute_0_1952,plain,
( greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,X_15)) != least_upper_bound(X_15,X_19)
| greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(X_117,least_upper_bound(X_15,X_19))) != greatest_lower_bound(X_117,greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,X_15)))
| greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(X_117,least_upper_bound(X_15,X_19))) = greatest_lower_bound(X_117,least_upper_bound(X_15,X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(X_117,least_upper_bound(X_15,X_19))),greatest_lower_bound(X_117,greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,X_15)))) ),[1,1],$fot(least_upper_bound(X_15,X_19))]]) ).
cnf(refute_0_1953,plain,
( greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(X_117,least_upper_bound(X_15,X_19))) != greatest_lower_bound(X_117,greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,X_15)))
| greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(X_117,least_upper_bound(X_15,X_19))) = greatest_lower_bound(X_117,least_upper_bound(X_15,X_19)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,X_15)),least_upper_bound(X_15,X_19)) )],[refute_0_455,refute_0_1952]) ).
cnf(refute_0_1954,plain,
greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(X_117,least_upper_bound(X_15,X_19))) = greatest_lower_bound(X_117,least_upper_bound(X_15,X_19)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(X_117,least_upper_bound(X_15,X_19))),greatest_lower_bound(X_117,greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,X_15)))) )],[refute_0_1951,refute_0_1953]) ).
cnf(refute_0_1955,plain,
greatest_lower_bound(least_upper_bound(X_15,X_374),greatest_lower_bound(X_372,least_upper_bound(X_374,X_15))) = greatest_lower_bound(X_372,least_upper_bound(X_374,X_15)),
inference(subst,[],[refute_0_1954:[bind(X_117,$fot(X_372)),bind(X_15,$fot(X_374)),bind(X_19,$fot(X_15))]]) ).
cnf(refute_0_1956,plain,
( greatest_lower_bound(least_upper_bound(X_15,X_374),greatest_lower_bound(X_372,least_upper_bound(X_374,X_15))) != greatest_lower_bound(X_372,least_upper_bound(X_15,X_374))
| greatest_lower_bound(least_upper_bound(X_15,X_374),greatest_lower_bound(X_372,least_upper_bound(X_374,X_15))) != greatest_lower_bound(X_372,least_upper_bound(X_374,X_15))
| greatest_lower_bound(X_372,least_upper_bound(X_374,X_15)) = greatest_lower_bound(X_372,least_upper_bound(X_15,X_374)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_15,X_374),greatest_lower_bound(X_372,least_upper_bound(X_374,X_15))),greatest_lower_bound(X_372,least_upper_bound(X_15,X_374))) ),[0],$fot(greatest_lower_bound(X_372,least_upper_bound(X_374,X_15)))]]) ).
cnf(refute_0_1957,plain,
( greatest_lower_bound(least_upper_bound(X_15,X_374),greatest_lower_bound(X_372,least_upper_bound(X_374,X_15))) != greatest_lower_bound(X_372,least_upper_bound(X_15,X_374))
| greatest_lower_bound(X_372,least_upper_bound(X_374,X_15)) = greatest_lower_bound(X_372,least_upper_bound(X_15,X_374)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_15,X_374),greatest_lower_bound(X_372,least_upper_bound(X_374,X_15))),greatest_lower_bound(X_372,least_upper_bound(X_374,X_15))) )],[refute_0_1955,refute_0_1956]) ).
cnf(refute_0_1958,plain,
greatest_lower_bound(X_372,least_upper_bound(X_374,X_15)) = greatest_lower_bound(X_372,least_upper_bound(X_15,X_374)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_15,X_374),greatest_lower_bound(X_372,least_upper_bound(X_374,X_15))),greatest_lower_bound(X_372,least_upper_bound(X_15,X_374))) )],[refute_0_1950,refute_0_1957]) ).
cnf(refute_0_1959,plain,
( greatest_lower_bound(X_372,least_upper_bound(X_374,X_15)) != greatest_lower_bound(X_372,least_upper_bound(X_15,X_374))
| greatest_lower_bound(X_372,least_upper_bound(X_15,X_374)) = greatest_lower_bound(X_372,least_upper_bound(X_374,X_15)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_372,least_upper_bound(X_374,X_15)))),bind(Y0,$fot(greatest_lower_bound(X_372,least_upper_bound(X_15,X_374))))]]) ).
cnf(refute_0_1960,plain,
greatest_lower_bound(X_372,least_upper_bound(X_15,X_374)) = greatest_lower_bound(X_372,least_upper_bound(X_374,X_15)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_372,least_upper_bound(X_374,X_15)),greatest_lower_bound(X_372,least_upper_bound(X_15,X_374))) )],[refute_0_1958,refute_0_1959]) ).
cnf(refute_0_1961,plain,
greatest_lower_bound(identity,least_upper_bound(inverse(X_146),identity)) = greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146))),
inference(subst,[],[refute_0_1960:[bind(X_15,$fot(inverse(X_146))),bind(X_372,$fot(identity)),bind(X_374,$fot(identity))]]) ).
cnf(refute_0_1962,plain,
( greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146))) != identity
| greatest_lower_bound(identity,least_upper_bound(inverse(X_146),identity)) != greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146)))
| greatest_lower_bound(identity,least_upper_bound(inverse(X_146),identity)) = identity ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(identity,least_upper_bound(inverse(X_146),identity)))),bind(Y0,$fot(greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146))))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_1963,plain,
( greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146))) != identity
| greatest_lower_bound(identity,least_upper_bound(inverse(X_146),identity)) = identity ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,least_upper_bound(inverse(X_146),identity)),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146)))) )],[refute_0_1961,refute_0_1962]) ).
cnf(refute_0_1964,plain,
greatest_lower_bound(identity,least_upper_bound(inverse(X_146),identity)) = identity,
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146))),identity) )],[refute_0_1917,refute_0_1963]) ).
cnf(refute_0_1965,plain,
multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) = greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)),
inference(subst,[],[refute_0_178:[bind(X_59,$fot(inverse(least_upper_bound(X_99,X_100)))),bind(X_67,$fot(X_410)),bind(X_68,$fot(least_upper_bound(X_100,X_99)))]]) ).
cnf(refute_0_1966,plain,
multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_100,X_99))) = identity,
inference(subst,[],[refute_0_127:[bind(X_1,$fot(least_upper_bound(X_100,X_99)))]]) ).
cnf(refute_0_1967,plain,
inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))) = inverse(greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97))),
inference(subst,[],[refute_0_148:[bind(X_73,$fot(least_upper_bound(X_98,X_97))),bind(X_74,$fot(least_upper_bound(X_97,X_98)))]]) ).
cnf(refute_0_1968,plain,
greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)) = least_upper_bound(X_97,X_98),
inference(subst,[],[refute_0_455:[bind(X_15,$fot(X_97)),bind(X_19,$fot(X_98))]]) ).
cnf(refute_0_1969,plain,
( greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)) != least_upper_bound(X_97,X_98)
| inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))) != inverse(greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)))
| inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))) = inverse(least_upper_bound(X_97,X_98)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))),inverse(greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)))) ),[1,0],$fot(least_upper_bound(X_97,X_98))]]) ).
cnf(refute_0_1970,plain,
( inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))) != inverse(greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)))
| inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))) = inverse(least_upper_bound(X_97,X_98)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)),least_upper_bound(X_97,X_98)) )],[refute_0_1968,refute_0_1969]) ).
cnf(refute_0_1971,plain,
inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))) = inverse(least_upper_bound(X_97,X_98)),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))),inverse(greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)))) )],[refute_0_1967,refute_0_1970]) ).
cnf(refute_0_1972,plain,
greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98)) = least_upper_bound(X_98,X_97),
inference(subst,[],[refute_0_455:[bind(X_15,$fot(X_98)),bind(X_19,$fot(X_97))]]) ).
cnf(refute_0_1973,plain,
inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))) = inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))),
introduced(tautology,[refl,[$fot(inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))))]]) ).
cnf(refute_0_1974,plain,
( greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98)) != least_upper_bound(X_98,X_97)
| inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))) != inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98)))
| inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))) = inverse(least_upper_bound(X_98,X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))),inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98)))) ),[1,0],$fot(least_upper_bound(X_98,X_97))]]) ).
cnf(refute_0_1975,plain,
( greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98)) != least_upper_bound(X_98,X_97)
| inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))) = inverse(least_upper_bound(X_98,X_97)) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))),inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98)))) )],[refute_0_1973,refute_0_1974]) ).
cnf(refute_0_1976,plain,
inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))) = inverse(least_upper_bound(X_98,X_97)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98)),least_upper_bound(X_98,X_97)) )],[refute_0_1972,refute_0_1975]) ).
cnf(refute_0_1977,plain,
( inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))) != inverse(least_upper_bound(X_97,X_98))
| inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))) != inverse(least_upper_bound(X_98,X_97))
| inverse(least_upper_bound(X_98,X_97)) = inverse(least_upper_bound(X_97,X_98)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))),inverse(least_upper_bound(X_97,X_98))) ),[0],$fot(inverse(least_upper_bound(X_98,X_97)))]]) ).
cnf(refute_0_1978,plain,
( inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))) != inverse(least_upper_bound(X_97,X_98))
| inverse(least_upper_bound(X_98,X_97)) = inverse(least_upper_bound(X_97,X_98)) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))),inverse(least_upper_bound(X_98,X_97))) )],[refute_0_1976,refute_0_1977]) ).
cnf(refute_0_1979,plain,
inverse(least_upper_bound(X_98,X_97)) = inverse(least_upper_bound(X_97,X_98)),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(least_upper_bound(X_98,X_97),least_upper_bound(X_97,X_98))),inverse(least_upper_bound(X_97,X_98))) )],[refute_0_1971,refute_0_1978]) ).
cnf(refute_0_1980,plain,
inverse(least_upper_bound(X_100,X_99)) = inverse(least_upper_bound(X_99,X_100)),
inference(subst,[],[refute_0_1979:[bind(X_97,$fot(X_99)),bind(X_98,$fot(X_100))]]) ).
cnf(refute_0_1981,plain,
( multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_100,X_99))) != identity
| inverse(least_upper_bound(X_100,X_99)) != inverse(least_upper_bound(X_99,X_100))
| multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_100,X_99))),identity) ),[0,1],$fot(inverse(least_upper_bound(X_99,X_100)))]]) ).
cnf(refute_0_1982,plain,
( multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_100,X_99))) != identity
| multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100))) = identity ),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(X_100,X_99)),inverse(least_upper_bound(X_99,X_100))) )],[refute_0_1980,refute_0_1981]) ).
cnf(refute_0_1983,plain,
multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100))) = identity,
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_100,X_99))),identity) )],[refute_0_1966,refute_0_1982]) ).
cnf(refute_0_1984,plain,
( multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) != greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410))
| multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100))) != identity
| multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) = greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))),greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410))) ),[0,0,0],$fot(identity)]]) ).
cnf(refute_0_1985,plain,
( multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) != greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410))
| multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) = greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100))),identity) )],[refute_0_1983,refute_0_1984]) ).
cnf(refute_0_1986,plain,
multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) = greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))),greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410))) )],[refute_0_1965,refute_0_1985]) ).
cnf(refute_0_1987,plain,
multiply(identity,greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) = greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)),
inference(subst,[],[left_identity:[bind(X,$fot(greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))))]]) ).
cnf(refute_0_1988,plain,
multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) = multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))))]]) ).
cnf(refute_0_1989,plain,
( multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) != multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)))
| inverse(identity) != identity
| multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) = multiply(identity,greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))),multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_1990,plain,
( inverse(identity) != identity
| multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) = multiply(identity,greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))),multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)))) )],[refute_0_1988,refute_0_1989]) ).
cnf(refute_0_1991,plain,
multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) = multiply(identity,greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[p20_1,refute_0_1990]) ).
cnf(refute_0_1992,plain,
( multiply(identity,greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) != greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))
| multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) != multiply(identity,greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)))
| multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) = greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))))),bind(Y0,$fot(multiply(identity,greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))))),bind(Z0,$fot(greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))))]]) ).
cnf(refute_0_1993,plain,
( multiply(identity,greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) != greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))
| multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) = greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))),multiply(identity,greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)))) )],[refute_0_1991,refute_0_1992]) ).
cnf(refute_0_1994,plain,
multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) = greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)),
inference(resolve,[$cnf( $equal(multiply(identity,greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) )],[refute_0_1987,refute_0_1993]) ).
cnf(refute_0_1995,plain,
( multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) != greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))
| multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) != greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410))
| greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)) = greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))),greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410))) ),[0],$fot(greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)))]]) ).
cnf(refute_0_1996,plain,
( multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) != greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410))
| greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)) = greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) )],[refute_0_1994,refute_0_1995]) ).
cnf(refute_0_1997,plain,
multiply(least_upper_bound(X_99,X_100),identity) = least_upper_bound(X_99,X_100),
inference(subst,[],[refute_0_573:[bind(X,$fot(least_upper_bound(X_99,X_100)))]]) ).
cnf(refute_0_1998,plain,
greatest_lower_bound(multiply(least_upper_bound(X_99,X_100),identity),X_410) = greatest_lower_bound(multiply(least_upper_bound(X_99,X_100),identity),X_410),
introduced(tautology,[refl,[$fot(greatest_lower_bound(multiply(least_upper_bound(X_99,X_100),identity),X_410))]]) ).
cnf(refute_0_1999,plain,
( multiply(least_upper_bound(X_99,X_100),identity) != least_upper_bound(X_99,X_100)
| greatest_lower_bound(multiply(least_upper_bound(X_99,X_100),identity),X_410) != greatest_lower_bound(multiply(least_upper_bound(X_99,X_100),identity),X_410)
| greatest_lower_bound(multiply(least_upper_bound(X_99,X_100),identity),X_410) = greatest_lower_bound(least_upper_bound(X_99,X_100),X_410) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(multiply(least_upper_bound(X_99,X_100),identity),X_410),greatest_lower_bound(multiply(least_upper_bound(X_99,X_100),identity),X_410)) ),[1,0],$fot(least_upper_bound(X_99,X_100))]]) ).
cnf(refute_0_2000,plain,
( multiply(least_upper_bound(X_99,X_100),identity) != least_upper_bound(X_99,X_100)
| greatest_lower_bound(multiply(least_upper_bound(X_99,X_100),identity),X_410) = greatest_lower_bound(least_upper_bound(X_99,X_100),X_410) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(least_upper_bound(X_99,X_100),identity),X_410),greatest_lower_bound(multiply(least_upper_bound(X_99,X_100),identity),X_410)) )],[refute_0_1998,refute_0_1999]) ).
cnf(refute_0_2001,plain,
greatest_lower_bound(multiply(least_upper_bound(X_99,X_100),identity),X_410) = greatest_lower_bound(least_upper_bound(X_99,X_100),X_410),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_99,X_100),identity),least_upper_bound(X_99,X_100)) )],[refute_0_1997,refute_0_2000]) ).
cnf(refute_0_2002,plain,
multiply(least_upper_bound(X_97,X_98),greatest_lower_bound(X_170,multiply(inverse(least_upper_bound(X_97,X_98)),X_168))) = greatest_lower_bound(multiply(least_upper_bound(X_97,X_98),X_170),X_168),
inference(subst,[],[refute_0_549:[bind(X_57,$fot(X_168)),bind(X_66,$fot(least_upper_bound(X_97,X_98))),bind(X_67,$fot(X_170))]]) ).
cnf(refute_0_2003,plain,
( inverse(least_upper_bound(X_98,X_97)) != inverse(least_upper_bound(X_97,X_98))
| inverse(least_upper_bound(X_97,X_98)) = inverse(least_upper_bound(X_98,X_97)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(least_upper_bound(X_98,X_97)))),bind(Y0,$fot(inverse(least_upper_bound(X_97,X_98))))]]) ).
cnf(refute_0_2004,plain,
inverse(least_upper_bound(X_97,X_98)) = inverse(least_upper_bound(X_98,X_97)),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(X_98,X_97)),inverse(least_upper_bound(X_97,X_98))) )],[refute_0_1979,refute_0_2003]) ).
cnf(refute_0_2005,plain,
( multiply(least_upper_bound(X_97,X_98),greatest_lower_bound(X_170,multiply(inverse(least_upper_bound(X_97,X_98)),X_168))) != greatest_lower_bound(multiply(least_upper_bound(X_97,X_98),X_170),X_168)
| inverse(least_upper_bound(X_97,X_98)) != inverse(least_upper_bound(X_98,X_97))
| multiply(least_upper_bound(X_97,X_98),greatest_lower_bound(X_170,multiply(inverse(least_upper_bound(X_98,X_97)),X_168))) = greatest_lower_bound(multiply(least_upper_bound(X_97,X_98),X_170),X_168) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_97,X_98),greatest_lower_bound(X_170,multiply(inverse(least_upper_bound(X_97,X_98)),X_168))),greatest_lower_bound(multiply(least_upper_bound(X_97,X_98),X_170),X_168)) ),[0,1,1,0],$fot(inverse(least_upper_bound(X_98,X_97)))]]) ).
cnf(refute_0_2006,plain,
( multiply(least_upper_bound(X_97,X_98),greatest_lower_bound(X_170,multiply(inverse(least_upper_bound(X_97,X_98)),X_168))) != greatest_lower_bound(multiply(least_upper_bound(X_97,X_98),X_170),X_168)
| multiply(least_upper_bound(X_97,X_98),greatest_lower_bound(X_170,multiply(inverse(least_upper_bound(X_98,X_97)),X_168))) = greatest_lower_bound(multiply(least_upper_bound(X_97,X_98),X_170),X_168) ),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(X_97,X_98)),inverse(least_upper_bound(X_98,X_97))) )],[refute_0_2004,refute_0_2005]) ).
cnf(refute_0_2007,plain,
multiply(least_upper_bound(X_97,X_98),greatest_lower_bound(X_170,multiply(inverse(least_upper_bound(X_98,X_97)),X_168))) = greatest_lower_bound(multiply(least_upper_bound(X_97,X_98),X_170),X_168),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_97,X_98),greatest_lower_bound(X_170,multiply(inverse(least_upper_bound(X_97,X_98)),X_168))),greatest_lower_bound(multiply(least_upper_bound(X_97,X_98),X_170),X_168)) )],[refute_0_2002,refute_0_2006]) ).
cnf(refute_0_2008,plain,
multiply(least_upper_bound(X_99,X_100),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) = greatest_lower_bound(multiply(least_upper_bound(X_99,X_100),identity),X_410),
inference(subst,[],[refute_0_2007:[bind(X_168,$fot(X_410)),bind(X_170,$fot(identity)),bind(X_97,$fot(X_99)),bind(X_98,$fot(X_100))]]) ).
cnf(refute_0_2009,plain,
( multiply(least_upper_bound(X_99,X_100),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) != greatest_lower_bound(multiply(least_upper_bound(X_99,X_100),identity),X_410)
| greatest_lower_bound(multiply(least_upper_bound(X_99,X_100),identity),X_410) != greatest_lower_bound(least_upper_bound(X_99,X_100),X_410)
| multiply(least_upper_bound(X_99,X_100),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) = greatest_lower_bound(least_upper_bound(X_99,X_100),X_410) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(least_upper_bound(X_99,X_100),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))))),bind(Y0,$fot(greatest_lower_bound(multiply(least_upper_bound(X_99,X_100),identity),X_410))),bind(Z0,$fot(greatest_lower_bound(least_upper_bound(X_99,X_100),X_410)))]]) ).
cnf(refute_0_2010,plain,
( greatest_lower_bound(multiply(least_upper_bound(X_99,X_100),identity),X_410) != greatest_lower_bound(least_upper_bound(X_99,X_100),X_410)
| multiply(least_upper_bound(X_99,X_100),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) = greatest_lower_bound(least_upper_bound(X_99,X_100),X_410) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_99,X_100),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))),greatest_lower_bound(multiply(least_upper_bound(X_99,X_100),identity),X_410)) )],[refute_0_2008,refute_0_2009]) ).
cnf(refute_0_2011,plain,
multiply(least_upper_bound(X_99,X_100),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) = greatest_lower_bound(least_upper_bound(X_99,X_100),X_410),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(least_upper_bound(X_99,X_100),identity),X_410),greatest_lower_bound(least_upper_bound(X_99,X_100),X_410)) )],[refute_0_2001,refute_0_2010]) ).
cnf(refute_0_2012,plain,
inverse(inverse(least_upper_bound(X_99,X_100))) = least_upper_bound(X_99,X_100),
inference(subst,[],[p20_2:[bind(X,$fot(least_upper_bound(X_99,X_100)))]]) ).
cnf(refute_0_2013,plain,
multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) = multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))))]]) ).
cnf(refute_0_2014,plain,
( multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) != multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410)))
| inverse(inverse(least_upper_bound(X_99,X_100))) != least_upper_bound(X_99,X_100)
| multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) = multiply(least_upper_bound(X_99,X_100),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))),multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410)))) ),[1,0],$fot(least_upper_bound(X_99,X_100))]]) ).
cnf(refute_0_2015,plain,
( inverse(inverse(least_upper_bound(X_99,X_100))) != least_upper_bound(X_99,X_100)
| multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) = multiply(least_upper_bound(X_99,X_100),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))),multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410)))) )],[refute_0_2013,refute_0_2014]) ).
cnf(refute_0_2016,plain,
multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) = multiply(least_upper_bound(X_99,X_100),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))),
inference(resolve,[$cnf( $equal(inverse(inverse(least_upper_bound(X_99,X_100))),least_upper_bound(X_99,X_100)) )],[refute_0_2012,refute_0_2015]) ).
cnf(refute_0_2017,plain,
( multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) != multiply(least_upper_bound(X_99,X_100),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410)))
| multiply(least_upper_bound(X_99,X_100),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) != greatest_lower_bound(least_upper_bound(X_99,X_100),X_410)
| multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) = greatest_lower_bound(least_upper_bound(X_99,X_100),X_410) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))))),bind(Y0,$fot(multiply(least_upper_bound(X_99,X_100),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))))),bind(Z0,$fot(greatest_lower_bound(least_upper_bound(X_99,X_100),X_410)))]]) ).
cnf(refute_0_2018,plain,
( multiply(least_upper_bound(X_99,X_100),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) != greatest_lower_bound(least_upper_bound(X_99,X_100),X_410)
| multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) = greatest_lower_bound(least_upper_bound(X_99,X_100),X_410) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))),multiply(least_upper_bound(X_99,X_100),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410)))) )],[refute_0_2016,refute_0_2017]) ).
cnf(refute_0_2019,plain,
multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) = greatest_lower_bound(least_upper_bound(X_99,X_100),X_410),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_99,X_100),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))),greatest_lower_bound(least_upper_bound(X_99,X_100),X_410)) )],[refute_0_2011,refute_0_2018]) ).
cnf(refute_0_2020,plain,
multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),greatest_lower_bound(least_upper_bound(X_100,X_99),X_410)) = multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))),
inference(subst,[],[refute_0_234:[bind(X_23,$fot(inverse(least_upper_bound(X_99,X_100)))),bind(X_272,$fot(least_upper_bound(X_100,X_99))),bind(X_273,$fot(X_410))]]) ).
cnf(refute_0_2021,plain,
greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)) = multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),greatest_lower_bound(least_upper_bound(X_100,X_99),X_410)),
inference(subst,[],[refute_0_255:[bind(X_409,$fot(inverse(least_upper_bound(X_99,X_100)))),bind(X_67,$fot(X_410)),bind(X_68,$fot(least_upper_bound(X_100,X_99)))]]) ).
cnf(refute_0_2022,plain,
( multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),greatest_lower_bound(least_upper_bound(X_100,X_99),X_410)) != multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410)))
| greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)) != multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),greatest_lower_bound(least_upper_bound(X_100,X_99),X_410))
| greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)) = multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)))),bind(Y0,$fot(multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),greatest_lower_bound(least_upper_bound(X_100,X_99),X_410)))),bind(Z0,$fot(multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410)))))]]) ).
cnf(refute_0_2023,plain,
( multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),greatest_lower_bound(least_upper_bound(X_100,X_99),X_410)) != multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410)))
| greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)) = multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),greatest_lower_bound(least_upper_bound(X_100,X_99),X_410))) )],[refute_0_2021,refute_0_2022]) ).
cnf(refute_0_2024,plain,
greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)) = multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),greatest_lower_bound(least_upper_bound(X_100,X_99),X_410)),multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410)))) )],[refute_0_2020,refute_0_2023]) ).
cnf(refute_0_2025,plain,
( multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) != greatest_lower_bound(least_upper_bound(X_99,X_100),X_410)
| greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)) != multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410)))
| greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)) = greatest_lower_bound(least_upper_bound(X_99,X_100),X_410) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)))),bind(Y0,$fot(multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))))),bind(Z0,$fot(greatest_lower_bound(least_upper_bound(X_99,X_100),X_410)))]]) ).
cnf(refute_0_2026,plain,
( multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))) != greatest_lower_bound(least_upper_bound(X_99,X_100),X_410)
| greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)) = greatest_lower_bound(least_upper_bound(X_99,X_100),X_410) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)),multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410)))) )],[refute_0_2024,refute_0_2025]) ).
cnf(refute_0_2027,plain,
greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)) = greatest_lower_bound(least_upper_bound(X_99,X_100),X_410),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(least_upper_bound(X_99,X_100))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_100,X_99)),X_410))),greatest_lower_bound(least_upper_bound(X_99,X_100),X_410)) )],[refute_0_2019,refute_0_2026]) ).
cnf(refute_0_2028,plain,
( greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)) != greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410))
| greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)) != greatest_lower_bound(least_upper_bound(X_99,X_100),X_410)
| greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)) = greatest_lower_bound(least_upper_bound(X_99,X_100),X_410) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)),greatest_lower_bound(least_upper_bound(X_99,X_100),X_410)) ),[0],$fot(greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)))]]) ).
cnf(refute_0_2029,plain,
( greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)) != greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410))
| greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)) = greatest_lower_bound(least_upper_bound(X_99,X_100),X_410) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410)),greatest_lower_bound(least_upper_bound(X_99,X_100),X_410)) )],[refute_0_2027,refute_0_2028]) ).
cnf(refute_0_2030,plain,
( multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))) != greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410))
| greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)) = greatest_lower_bound(least_upper_bound(X_99,X_100),X_410) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)),greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410))) )],[refute_0_1996,refute_0_2029]) ).
cnf(refute_0_2031,plain,
greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)) = greatest_lower_bound(least_upper_bound(X_99,X_100),X_410),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),greatest_lower_bound(X_410,least_upper_bound(X_100,X_99))),greatest_lower_bound(inverse(inverse(least_upper_bound(X_99,X_100))),multiply(inverse(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100)))),X_410))) )],[refute_0_1986,refute_0_2030]) ).
cnf(refute_0_2032,plain,
( greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)) != greatest_lower_bound(least_upper_bound(X_99,X_100),X_410)
| greatest_lower_bound(least_upper_bound(X_99,X_100),X_410) = greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)))),bind(Y0,$fot(greatest_lower_bound(least_upper_bound(X_99,X_100),X_410)))]]) ).
cnf(refute_0_2033,plain,
greatest_lower_bound(least_upper_bound(X_99,X_100),X_410) = greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_410,least_upper_bound(X_100,X_99)),greatest_lower_bound(least_upper_bound(X_99,X_100),X_410)) )],[refute_0_2031,refute_0_2032]) ).
cnf(refute_0_2034,plain,
greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),identity) = greatest_lower_bound(identity,least_upper_bound(inverse(X_146),identity)),
inference(subst,[],[refute_0_2033:[bind(X_100,$fot(inverse(X_146))),bind(X_410,$fot(identity)),bind(X_99,$fot(identity))]]) ).
cnf(refute_0_2035,plain,
( greatest_lower_bound(identity,least_upper_bound(inverse(X_146),identity)) != identity
| greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),identity) != greatest_lower_bound(identity,least_upper_bound(inverse(X_146),identity))
| greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),identity) = identity ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),identity))),bind(Y0,$fot(greatest_lower_bound(identity,least_upper_bound(inverse(X_146),identity)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_2036,plain,
( greatest_lower_bound(identity,least_upper_bound(inverse(X_146),identity)) != identity
| greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),identity) = identity ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),identity),greatest_lower_bound(identity,least_upper_bound(inverse(X_146),identity))) )],[refute_0_2034,refute_0_2035]) ).
cnf(refute_0_2037,plain,
greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),identity) = identity,
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,least_upper_bound(inverse(X_146),identity)),identity) )],[refute_0_1964,refute_0_2036]) ).
cnf(refute_0_2038,plain,
greatest_lower_bound(least_upper_bound(X_118,Y),greatest_lower_bound(X_117,X_118)) = greatest_lower_bound(X_117,greatest_lower_bound(X_118,least_upper_bound(X_118,Y))),
inference(subst,[],[refute_0_1281:[bind(X,$fot(least_upper_bound(X_118,Y))),bind(X_43,$fot(X_117)),bind(X_44,$fot(X_118))]]) ).
cnf(refute_0_2039,plain,
greatest_lower_bound(X_118,least_upper_bound(X_118,Y)) = X_118,
inference(subst,[],[glb_absorbtion:[bind(X,$fot(X_118))]]) ).
cnf(refute_0_2040,plain,
( greatest_lower_bound(X_118,least_upper_bound(X_118,Y)) != X_118
| greatest_lower_bound(least_upper_bound(X_118,Y),greatest_lower_bound(X_117,X_118)) != greatest_lower_bound(X_117,greatest_lower_bound(X_118,least_upper_bound(X_118,Y)))
| greatest_lower_bound(least_upper_bound(X_118,Y),greatest_lower_bound(X_117,X_118)) = greatest_lower_bound(X_117,X_118) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_118,Y),greatest_lower_bound(X_117,X_118)),greatest_lower_bound(X_117,greatest_lower_bound(X_118,least_upper_bound(X_118,Y)))) ),[1,1],$fot(X_118)]]) ).
cnf(refute_0_2041,plain,
( greatest_lower_bound(least_upper_bound(X_118,Y),greatest_lower_bound(X_117,X_118)) != greatest_lower_bound(X_117,greatest_lower_bound(X_118,least_upper_bound(X_118,Y)))
| greatest_lower_bound(least_upper_bound(X_118,Y),greatest_lower_bound(X_117,X_118)) = greatest_lower_bound(X_117,X_118) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_118,least_upper_bound(X_118,Y)),X_118) )],[refute_0_2039,refute_0_2040]) ).
cnf(refute_0_2042,plain,
greatest_lower_bound(least_upper_bound(X_118,Y),greatest_lower_bound(X_117,X_118)) = greatest_lower_bound(X_117,X_118),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_118,Y),greatest_lower_bound(X_117,X_118)),greatest_lower_bound(X_117,greatest_lower_bound(X_118,least_upper_bound(X_118,Y)))) )],[refute_0_2038,refute_0_2041]) ).
cnf(refute_0_2043,plain,
greatest_lower_bound(least_upper_bound(X_118,Y),greatest_lower_bound(X_117,X_118)) = greatest_lower_bound(X_118,greatest_lower_bound(X_117,least_upper_bound(X_118,Y))),
inference(subst,[],[refute_0_1941:[bind(Y,$fot(least_upper_bound(X_118,Y))),bind(X_116,$fot(X_118))]]) ).
cnf(refute_0_2044,plain,
( greatest_lower_bound(least_upper_bound(X_118,Y),greatest_lower_bound(X_117,X_118)) != greatest_lower_bound(X_117,X_118)
| greatest_lower_bound(least_upper_bound(X_118,Y),greatest_lower_bound(X_117,X_118)) != greatest_lower_bound(X_118,greatest_lower_bound(X_117,least_upper_bound(X_118,Y)))
| greatest_lower_bound(X_118,greatest_lower_bound(X_117,least_upper_bound(X_118,Y))) = greatest_lower_bound(X_117,X_118) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_118,Y),greatest_lower_bound(X_117,X_118)),greatest_lower_bound(X_117,X_118)) ),[0],$fot(greatest_lower_bound(X_118,greatest_lower_bound(X_117,least_upper_bound(X_118,Y))))]]) ).
cnf(refute_0_2045,plain,
( greatest_lower_bound(least_upper_bound(X_118,Y),greatest_lower_bound(X_117,X_118)) != greatest_lower_bound(X_117,X_118)
| greatest_lower_bound(X_118,greatest_lower_bound(X_117,least_upper_bound(X_118,Y))) = greatest_lower_bound(X_117,X_118) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_118,Y),greatest_lower_bound(X_117,X_118)),greatest_lower_bound(X_118,greatest_lower_bound(X_117,least_upper_bound(X_118,Y)))) )],[refute_0_2043,refute_0_2044]) ).
cnf(refute_0_2046,plain,
greatest_lower_bound(X_118,greatest_lower_bound(X_117,least_upper_bound(X_118,Y))) = greatest_lower_bound(X_117,X_118),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_118,Y),greatest_lower_bound(X_117,X_118)),greatest_lower_bound(X_117,X_118)) )],[refute_0_2042,refute_0_2045]) ).
cnf(refute_0_2047,plain,
greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),least_upper_bound(identity,X_146))) = greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),identity),
inference(subst,[],[refute_0_2046:[bind(Y,$fot(X_146)),bind(X_117,$fot(least_upper_bound(identity,inverse(X_146)))),bind(X_118,$fot(identity))]]) ).
cnf(refute_0_2048,plain,
( greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),least_upper_bound(identity,X_146))) != greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),identity)
| greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),identity) != identity
| greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),least_upper_bound(identity,X_146))) = identity ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),least_upper_bound(identity,X_146))))),bind(Y0,$fot(greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),identity))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_2049,plain,
( greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),identity) != identity
| greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),least_upper_bound(identity,X_146))) = identity ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),least_upper_bound(identity,X_146))),greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),identity)) )],[refute_0_2047,refute_0_2048]) ).
cnf(refute_0_2050,plain,
greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),least_upper_bound(identity,X_146))) = identity,
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),identity),identity) )],[refute_0_2037,refute_0_2049]) ).
cnf(refute_0_2051,plain,
( greatest_lower_bound(X_44,greatest_lower_bound(X_266,X_43)) != greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))
| greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266)) = greatest_lower_bound(X_44,greatest_lower_bound(X_266,X_43)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_44,greatest_lower_bound(X_266,X_43)))),bind(Y0,$fot(greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))))]]) ).
cnf(refute_0_2052,plain,
greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266)) = greatest_lower_bound(X_44,greatest_lower_bound(X_266,X_43)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_44,greatest_lower_bound(X_266,X_43)),greatest_lower_bound(X_43,greatest_lower_bound(X_44,X_266))) )],[refute_0_1865,refute_0_2051]) ).
cnf(refute_0_2053,plain,
greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146)))) = greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),least_upper_bound(identity,X_146))),
inference(subst,[],[refute_0_2052:[bind(X_266,$fot(least_upper_bound(identity,inverse(X_146)))),bind(X_43,$fot(least_upper_bound(identity,X_146))),bind(X_44,$fot(identity))]]) ).
cnf(refute_0_2054,plain,
( greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),least_upper_bound(identity,X_146))) != identity
| greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146)))) != greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),least_upper_bound(identity,X_146)))
| greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146)))) = identity ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146)))))),bind(Y0,$fot(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),least_upper_bound(identity,X_146))))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_2055,plain,
( greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),least_upper_bound(identity,X_146))) != identity
| greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146)))) = identity ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146)))),greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),least_upper_bound(identity,X_146)))) )],[refute_0_2053,refute_0_2054]) ).
cnf(refute_0_2056,plain,
greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146)))) = identity,
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,inverse(X_146)),least_upper_bound(identity,X_146))),identity) )],[refute_0_2050,refute_0_2055]) ).
cnf(refute_0_2057,plain,
( greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146)))) != greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146))))
| greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146)))) != identity
| greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146)))) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146)))),identity) ),[0],$fot(greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146)))))]]) ).
cnf(refute_0_2058,plain,
( greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146)))) != greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146))))
| greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146)))) = identity ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146)))),identity) )],[refute_0_2056,refute_0_2057]) ).
cnf(refute_0_2059,plain,
( greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))) != greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146))))
| greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146)))) = identity ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146)))),greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146))))) )],[refute_0_1916,refute_0_2058]) ).
cnf(refute_0_2060,plain,
greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_146),least_upper_bound(identity,inverse(X_146)))) = identity,
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(least_upper_bound(identity,X_146),greatest_lower_bound(inverse(X_146),identity))),greatest_lower_bound(least_upper_bound(identity,X_146),greatest_lower_bound(identity,least_upper_bound(identity,inverse(X_146))))) )],[refute_0_1335,refute_0_2059]) ).
cnf(refute_0_2061,plain,
greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = identity,
inference(subst,[],[refute_0_2060:[bind(X_146,$fot(X_618))]]) ).
cnf(refute_0_2062,plain,
( multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != identity
| multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) ),[0,0,0],$fot(identity)]]) ).
cnf(refute_0_2063,plain,
( multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity) )],[refute_0_2061,refute_0_2062]) ).
cnf(refute_0_2064,plain,
multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) )],[refute_0_1245,refute_0_2063]) ).
cnf(refute_0_2065,plain,
multiply(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))),
inference(subst,[],[left_identity:[bind(X,$fot(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))]]) ).
cnf(refute_0_2066,plain,
multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))]]) ).
cnf(refute_0_2067,plain,
( multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))
| inverse(identity) != identity
| multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = multiply(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_2068,plain,
( inverse(identity) != identity
| multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = multiply(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) )],[refute_0_2066,refute_0_2067]) ).
cnf(refute_0_2069,plain,
multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = multiply(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[p20_1,refute_0_2068]) ).
cnf(refute_0_2070,plain,
( multiply(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))
| multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != multiply(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))
| multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))),bind(Y0,$fot(multiply(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))),bind(Z0,$fot(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))]]) ).
cnf(refute_0_2071,plain,
( multiply(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))
| multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),multiply(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) )],[refute_0_2069,refute_0_2070]) ).
cnf(refute_0_2072,plain,
multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) )],[refute_0_2065,refute_0_2071]) ).
cnf(refute_0_2073,plain,
( multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))
| multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))) = least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) ),[0],$fot(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))]]) ).
cnf(refute_0_2074,plain,
( multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))) = least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) )],[refute_0_2072,refute_0_2073]) ).
cnf(refute_0_2075,plain,
( multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != identity
| multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) ),[1,1,0,0],$fot(identity)]]) ).
cnf(refute_0_2076,plain,
( multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity) )],[refute_0_2061,refute_0_2075]) ).
cnf(refute_0_2077,plain,
multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) )],[refute_0_1245,refute_0_2076]) ).
cnf(refute_0_2078,plain,
multiply(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),identity) = greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),
inference(subst,[],[refute_0_573:[bind(X,$fot(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))))]]) ).
cnf(refute_0_2079,plain,
greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))) = greatest_lower_bound(X_31,multiply(X_154,X_31)),
inference(subst,[],[refute_0_772:[bind(X_30,$fot(multiply(X_154,X_31)))]]) ).
cnf(refute_0_2080,plain,
multiply(greatest_lower_bound(X_85,identity),X_84) = greatest_lower_bound(multiply(X_85,X_84),multiply(identity,X_84)),
inference(subst,[],[monotony_glb2:[bind(X,$fot(X_84)),bind(Y,$fot(X_85)),bind(Z,$fot(identity))]]) ).
cnf(refute_0_2081,plain,
multiply(identity,X_84) = X_84,
inference(subst,[],[left_identity:[bind(X,$fot(X_84))]]) ).
cnf(refute_0_2082,plain,
( multiply(greatest_lower_bound(X_85,identity),X_84) != greatest_lower_bound(multiply(X_85,X_84),multiply(identity,X_84))
| multiply(identity,X_84) != X_84
| multiply(greatest_lower_bound(X_85,identity),X_84) = greatest_lower_bound(multiply(X_85,X_84),X_84) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(X_85,identity),X_84),greatest_lower_bound(multiply(X_85,X_84),multiply(identity,X_84))) ),[1,1],$fot(X_84)]]) ).
cnf(refute_0_2083,plain,
( multiply(greatest_lower_bound(X_85,identity),X_84) != greatest_lower_bound(multiply(X_85,X_84),multiply(identity,X_84))
| multiply(greatest_lower_bound(X_85,identity),X_84) = greatest_lower_bound(multiply(X_85,X_84),X_84) ),
inference(resolve,[$cnf( $equal(multiply(identity,X_84),X_84) )],[refute_0_2081,refute_0_2082]) ).
cnf(refute_0_2084,plain,
multiply(greatest_lower_bound(X_85,identity),X_84) = greatest_lower_bound(multiply(X_85,X_84),X_84),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_85,identity),X_84),greatest_lower_bound(multiply(X_85,X_84),multiply(identity,X_84))) )],[refute_0_2080,refute_0_2083]) ).
cnf(refute_0_2085,plain,
greatest_lower_bound(multiply(X_85,X_84),X_84) = greatest_lower_bound(X_84,multiply(X_85,X_84)),
inference(subst,[],[refute_0_30:[bind(X,$fot(X_84)),bind(Y,$fot(multiply(X_85,X_84)))]]) ).
cnf(refute_0_2086,plain,
( multiply(greatest_lower_bound(X_85,identity),X_84) != greatest_lower_bound(multiply(X_85,X_84),X_84)
| greatest_lower_bound(multiply(X_85,X_84),X_84) != greatest_lower_bound(X_84,multiply(X_85,X_84))
| multiply(greatest_lower_bound(X_85,identity),X_84) = greatest_lower_bound(X_84,multiply(X_85,X_84)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(greatest_lower_bound(X_85,identity),X_84),greatest_lower_bound(X_84,multiply(X_85,X_84))) ),[0],$fot(greatest_lower_bound(multiply(X_85,X_84),X_84))]]) ).
cnf(refute_0_2087,plain,
( multiply(greatest_lower_bound(X_85,identity),X_84) != greatest_lower_bound(multiply(X_85,X_84),X_84)
| multiply(greatest_lower_bound(X_85,identity),X_84) = greatest_lower_bound(X_84,multiply(X_85,X_84)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_85,X_84),X_84),greatest_lower_bound(X_84,multiply(X_85,X_84))) )],[refute_0_2085,refute_0_2086]) ).
cnf(refute_0_2088,plain,
multiply(greatest_lower_bound(X_85,identity),X_84) = greatest_lower_bound(X_84,multiply(X_85,X_84)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_85,identity),X_84),greatest_lower_bound(multiply(X_85,X_84),X_84)) )],[refute_0_2084,refute_0_2087]) ).
cnf(refute_0_2089,plain,
multiply(greatest_lower_bound(X_154,identity),X_31) = greatest_lower_bound(X_31,multiply(X_154,X_31)),
inference(subst,[],[refute_0_2088:[bind(X_84,$fot(X_31)),bind(X_85,$fot(X_154))]]) ).
cnf(refute_0_2090,plain,
( multiply(greatest_lower_bound(X_154,identity),X_31) != greatest_lower_bound(X_31,multiply(X_154,X_31))
| greatest_lower_bound(X_31,multiply(X_154,X_31)) = multiply(greatest_lower_bound(X_154,identity),X_31) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(X_154,identity),X_31))),bind(Y0,$fot(greatest_lower_bound(X_31,multiply(X_154,X_31))))]]) ).
cnf(refute_0_2091,plain,
greatest_lower_bound(X_31,multiply(X_154,X_31)) = multiply(greatest_lower_bound(X_154,identity),X_31),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_154,identity),X_31),greatest_lower_bound(X_31,multiply(X_154,X_31))) )],[refute_0_2089,refute_0_2090]) ).
cnf(refute_0_2092,plain,
( greatest_lower_bound(X_31,multiply(X_154,X_31)) != multiply(greatest_lower_bound(X_154,identity),X_31)
| greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))) != greatest_lower_bound(X_31,multiply(X_154,X_31))
| greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))) = multiply(greatest_lower_bound(X_154,identity),X_31) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))),greatest_lower_bound(X_31,multiply(X_154,X_31))) ),[1],$fot(multiply(greatest_lower_bound(X_154,identity),X_31))]]) ).
cnf(refute_0_2093,plain,
( greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))) != greatest_lower_bound(X_31,multiply(X_154,X_31))
| greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))) = multiply(greatest_lower_bound(X_154,identity),X_31) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_31,multiply(X_154,X_31)),multiply(greatest_lower_bound(X_154,identity),X_31)) )],[refute_0_2091,refute_0_2092]) ).
cnf(refute_0_2094,plain,
greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))) = multiply(greatest_lower_bound(X_154,identity),X_31),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))),greatest_lower_bound(X_31,multiply(X_154,X_31))) )],[refute_0_2079,refute_0_2093]) ).
cnf(refute_0_2095,plain,
greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)) = greatest_lower_bound(identity,X_154),
inference(subst,[],[refute_0_765:[bind(Y,$fot(X_154)),bind(X_19,$fot(identity))]]) ).
cnf(refute_0_2096,plain,
multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31) = multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31),
introduced(tautology,[refl,[$fot(multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31))]]) ).
cnf(refute_0_2097,plain,
( multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31) != multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31)
| greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)) != greatest_lower_bound(identity,X_154)
| multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31) = multiply(greatest_lower_bound(identity,X_154),X_31) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31),multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31)) ),[1,0],$fot(greatest_lower_bound(identity,X_154))]]) ).
cnf(refute_0_2098,plain,
( greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)) != greatest_lower_bound(identity,X_154)
| multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31) = multiply(greatest_lower_bound(identity,X_154),X_31) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31),multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31)) )],[refute_0_2096,refute_0_2097]) ).
cnf(refute_0_2099,plain,
multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31) = multiply(greatest_lower_bound(identity,X_154),X_31),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),greatest_lower_bound(identity,X_154)) )],[refute_0_2095,refute_0_2098]) ).
cnf(refute_0_2100,plain,
least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),greatest_lower_bound(multiply(Y,X),multiply(Z,X))) = greatest_lower_bound(multiply(Z,X),multiply(Y,X)),
inference(subst,[],[refute_0_1129:[bind(X_11,$fot(multiply(Y,X))),bind(X_30,$fot(multiply(Z,X)))]]) ).
cnf(refute_0_2101,plain,
( greatest_lower_bound(multiply(Y,X),multiply(Z,X)) != multiply(greatest_lower_bound(Y,Z),X)
| least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),greatest_lower_bound(multiply(Y,X),multiply(Z,X))) != greatest_lower_bound(multiply(Z,X),multiply(Y,X))
| least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),multiply(greatest_lower_bound(Y,Z),X)) = greatest_lower_bound(multiply(Z,X),multiply(Y,X)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),greatest_lower_bound(multiply(Y,X),multiply(Z,X))),greatest_lower_bound(multiply(Z,X),multiply(Y,X))) ),[0,1],$fot(multiply(greatest_lower_bound(Y,Z),X))]]) ).
cnf(refute_0_2102,plain,
( least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),greatest_lower_bound(multiply(Y,X),multiply(Z,X))) != greatest_lower_bound(multiply(Z,X),multiply(Y,X))
| least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),multiply(greatest_lower_bound(Y,Z),X)) = greatest_lower_bound(multiply(Z,X),multiply(Y,X)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(Y,X),multiply(Z,X)),multiply(greatest_lower_bound(Y,Z),X)) )],[refute_0_622,refute_0_2101]) ).
cnf(refute_0_2103,plain,
least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),multiply(greatest_lower_bound(Y,Z),X)) = greatest_lower_bound(multiply(Z,X),multiply(Y,X)),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),greatest_lower_bound(multiply(Y,X),multiply(Z,X))),greatest_lower_bound(multiply(Z,X),multiply(Y,X))) )],[refute_0_2100,refute_0_2102]) ).
cnf(refute_0_2104,plain,
multiply(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),X) = multiply(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),X),
introduced(tautology,[refl,[$fot(multiply(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),X))]]) ).
cnf(refute_0_2105,plain,
( multiply(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),X) != multiply(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),X)
| least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)) != greatest_lower_bound(Y,Z)
| multiply(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),X) = multiply(greatest_lower_bound(Y,Z),X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),X),multiply(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),X)) ),[1,0],$fot(greatest_lower_bound(Y,Z))]]) ).
cnf(refute_0_2106,plain,
( least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)) != greatest_lower_bound(Y,Z)
| multiply(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),X) = multiply(greatest_lower_bound(Y,Z),X) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),X),multiply(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),X)) )],[refute_0_2104,refute_0_2105]) ).
cnf(refute_0_2107,plain,
multiply(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),X) = multiply(greatest_lower_bound(Y,Z),X),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),greatest_lower_bound(Y,Z)) )],[refute_0_1379,refute_0_2106]) ).
cnf(refute_0_2108,plain,
least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),multiply(greatest_lower_bound(Z,Y),X)) = multiply(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),X),
inference(subst,[],[refute_0_628:[bind(Y,$fot(greatest_lower_bound(Y,Z))),bind(Z,$fot(greatest_lower_bound(Z,Y)))]]) ).
cnf(refute_0_2109,plain,
( multiply(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),X) != multiply(greatest_lower_bound(Y,Z),X)
| least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),multiply(greatest_lower_bound(Z,Y),X)) != multiply(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),X)
| least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),multiply(greatest_lower_bound(Z,Y),X)) = multiply(greatest_lower_bound(Y,Z),X) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),multiply(greatest_lower_bound(Z,Y),X)))),bind(Y0,$fot(multiply(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),X))),bind(Z0,$fot(multiply(greatest_lower_bound(Y,Z),X)))]]) ).
cnf(refute_0_2110,plain,
( multiply(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),X) != multiply(greatest_lower_bound(Y,Z),X)
| least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),multiply(greatest_lower_bound(Z,Y),X)) = multiply(greatest_lower_bound(Y,Z),X) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),multiply(greatest_lower_bound(Z,Y),X)),multiply(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),X)) )],[refute_0_2108,refute_0_2109]) ).
cnf(refute_0_2111,plain,
least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),multiply(greatest_lower_bound(Z,Y),X)) = multiply(greatest_lower_bound(Y,Z),X),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(Y,Z),greatest_lower_bound(Z,Y)),X),multiply(greatest_lower_bound(Y,Z),X)) )],[refute_0_2107,refute_0_2110]) ).
cnf(refute_0_2112,plain,
greatest_lower_bound(multiply(Z,X),multiply(Y,X)) = multiply(greatest_lower_bound(Z,Y),X),
inference(subst,[],[refute_0_622:[bind(Y,$fot(Z)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_2113,plain,
least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))) = least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))),
introduced(tautology,[refl,[$fot(least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))))]]) ).
cnf(refute_0_2114,plain,
( greatest_lower_bound(multiply(Z,X),multiply(Y,X)) != multiply(greatest_lower_bound(Z,Y),X)
| least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))) != least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X)))
| least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))) = least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),multiply(greatest_lower_bound(Z,Y),X)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))),least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X)))) ),[1,1],$fot(multiply(greatest_lower_bound(Z,Y),X))]]) ).
cnf(refute_0_2115,plain,
( greatest_lower_bound(multiply(Z,X),multiply(Y,X)) != multiply(greatest_lower_bound(Z,Y),X)
| least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))) = least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),multiply(greatest_lower_bound(Z,Y),X)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))),least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X)))) )],[refute_0_2113,refute_0_2114]) ).
cnf(refute_0_2116,plain,
least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))) = least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),multiply(greatest_lower_bound(Z,Y),X)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),multiply(greatest_lower_bound(Z,Y),X)) )],[refute_0_2112,refute_0_2115]) ).
cnf(refute_0_2117,plain,
( least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),multiply(greatest_lower_bound(Z,Y),X)) != multiply(greatest_lower_bound(Y,Z),X)
| least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))) != least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),multiply(greatest_lower_bound(Z,Y),X))
| least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))) = multiply(greatest_lower_bound(Y,Z),X) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))))),bind(Y0,$fot(least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),multiply(greatest_lower_bound(Z,Y),X)))),bind(Z0,$fot(multiply(greatest_lower_bound(Y,Z),X)))]]) ).
cnf(refute_0_2118,plain,
( least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),multiply(greatest_lower_bound(Z,Y),X)) != multiply(greatest_lower_bound(Y,Z),X)
| least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))) = multiply(greatest_lower_bound(Y,Z),X) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))),least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),multiply(greatest_lower_bound(Z,Y),X))) )],[refute_0_2116,refute_0_2117]) ).
cnf(refute_0_2119,plain,
least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))) = multiply(greatest_lower_bound(Y,Z),X),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),multiply(greatest_lower_bound(Z,Y),X)),multiply(greatest_lower_bound(Y,Z),X)) )],[refute_0_2111,refute_0_2118]) ).
cnf(refute_0_2120,plain,
least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),multiply(greatest_lower_bound(Y,Z),X)) = least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))),
inference(subst,[],[refute_0_404:[bind(X,$fot(multiply(greatest_lower_bound(Y,Z),X))),bind(Y,$fot(greatest_lower_bound(multiply(Z,X),multiply(Y,X))))]]) ).
cnf(refute_0_2121,plain,
( least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))) != multiply(greatest_lower_bound(Y,Z),X)
| least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),multiply(greatest_lower_bound(Y,Z),X)) != least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X)))
| least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),multiply(greatest_lower_bound(Y,Z),X)) = multiply(greatest_lower_bound(Y,Z),X) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),multiply(greatest_lower_bound(Y,Z),X)))),bind(Y0,$fot(least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))))),bind(Z0,$fot(multiply(greatest_lower_bound(Y,Z),X)))]]) ).
cnf(refute_0_2122,plain,
( least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))) != multiply(greatest_lower_bound(Y,Z),X)
| least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),multiply(greatest_lower_bound(Y,Z),X)) = multiply(greatest_lower_bound(Y,Z),X) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),multiply(greatest_lower_bound(Y,Z),X)),least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X)))) )],[refute_0_2120,refute_0_2121]) ).
cnf(refute_0_2123,plain,
least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),multiply(greatest_lower_bound(Y,Z),X)) = multiply(greatest_lower_bound(Y,Z),X),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))),multiply(greatest_lower_bound(Y,Z),X)) )],[refute_0_2119,refute_0_2122]) ).
cnf(refute_0_2124,plain,
( least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),multiply(greatest_lower_bound(Y,Z),X)) != multiply(greatest_lower_bound(Y,Z),X)
| least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),multiply(greatest_lower_bound(Y,Z),X)) != greatest_lower_bound(multiply(Z,X),multiply(Y,X))
| multiply(greatest_lower_bound(Y,Z),X) = greatest_lower_bound(multiply(Z,X),multiply(Y,X)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),multiply(greatest_lower_bound(Y,Z),X)),greatest_lower_bound(multiply(Z,X),multiply(Y,X))) ),[0],$fot(multiply(greatest_lower_bound(Y,Z),X))]]) ).
cnf(refute_0_2125,plain,
( least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),multiply(greatest_lower_bound(Y,Z),X)) != greatest_lower_bound(multiply(Z,X),multiply(Y,X))
| multiply(greatest_lower_bound(Y,Z),X) = greatest_lower_bound(multiply(Z,X),multiply(Y,X)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),multiply(greatest_lower_bound(Y,Z),X)),multiply(greatest_lower_bound(Y,Z),X)) )],[refute_0_2123,refute_0_2124]) ).
cnf(refute_0_2126,plain,
( multiply(greatest_lower_bound(Y,Z),X) != greatest_lower_bound(multiply(Z,X),multiply(Y,X))
| greatest_lower_bound(multiply(Z,X),multiply(Y,X)) != multiply(greatest_lower_bound(Z,Y),X)
| multiply(greatest_lower_bound(Y,Z),X) = multiply(greatest_lower_bound(Z,Y),X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(greatest_lower_bound(Y,Z),X),multiply(greatest_lower_bound(Z,Y),X)) ),[0],$fot(greatest_lower_bound(multiply(Z,X),multiply(Y,X)))]]) ).
cnf(refute_0_2127,plain,
( multiply(greatest_lower_bound(Y,Z),X) != greatest_lower_bound(multiply(Z,X),multiply(Y,X))
| multiply(greatest_lower_bound(Y,Z),X) = multiply(greatest_lower_bound(Z,Y),X) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),multiply(greatest_lower_bound(Z,Y),X)) )],[refute_0_2112,refute_0_2126]) ).
cnf(refute_0_2128,plain,
( least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),multiply(greatest_lower_bound(Y,Z),X)) != greatest_lower_bound(multiply(Z,X),multiply(Y,X))
| multiply(greatest_lower_bound(Y,Z),X) = multiply(greatest_lower_bound(Z,Y),X) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(Y,Z),X),greatest_lower_bound(multiply(Z,X),multiply(Y,X))) )],[refute_0_2125,refute_0_2127]) ).
cnf(refute_0_2129,plain,
multiply(greatest_lower_bound(Y,Z),X) = multiply(greatest_lower_bound(Z,Y),X),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(multiply(Z,X),multiply(Y,X)),multiply(greatest_lower_bound(Y,Z),X)),greatest_lower_bound(multiply(Z,X),multiply(Y,X))) )],[refute_0_2103,refute_0_2128]) ).
cnf(refute_0_2130,plain,
( multiply(greatest_lower_bound(Y,Z),X) != multiply(greatest_lower_bound(Z,Y),X)
| multiply(greatest_lower_bound(Z,Y),X) = multiply(greatest_lower_bound(Y,Z),X) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(Y,Z),X))),bind(Y0,$fot(multiply(greatest_lower_bound(Z,Y),X)))]]) ).
cnf(refute_0_2131,plain,
multiply(greatest_lower_bound(Z,Y),X) = multiply(greatest_lower_bound(Y,Z),X),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(Y,Z),X),multiply(greatest_lower_bound(Z,Y),X)) )],[refute_0_2129,refute_0_2130]) ).
cnf(refute_0_2132,plain,
multiply(greatest_lower_bound(greatest_lower_bound(X_154,identity),identity),X_31) = multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31),
inference(subst,[],[refute_0_2131:[bind(X,$fot(X_31)),bind(Y,$fot(identity)),bind(Z,$fot(greatest_lower_bound(X_154,identity)))]]) ).
cnf(refute_0_2133,plain,
( multiply(greatest_lower_bound(X_85,identity),X_84) != greatest_lower_bound(X_84,multiply(X_85,X_84))
| greatest_lower_bound(X_84,multiply(X_85,X_84)) = multiply(greatest_lower_bound(X_85,identity),X_84) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(X_85,identity),X_84))),bind(Y0,$fot(greatest_lower_bound(X_84,multiply(X_85,X_84))))]]) ).
cnf(refute_0_2134,plain,
greatest_lower_bound(X_84,multiply(X_85,X_84)) = multiply(greatest_lower_bound(X_85,identity),X_84),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_85,identity),X_84),greatest_lower_bound(X_84,multiply(X_85,X_84))) )],[refute_0_2088,refute_0_2133]) ).
cnf(refute_0_2135,plain,
greatest_lower_bound(X_31,multiply(greatest_lower_bound(X_154,identity),X_31)) = multiply(greatest_lower_bound(greatest_lower_bound(X_154,identity),identity),X_31),
inference(subst,[],[refute_0_2134:[bind(X_84,$fot(X_31)),bind(X_85,$fot(greatest_lower_bound(X_154,identity)))]]) ).
cnf(refute_0_2136,plain,
( multiply(greatest_lower_bound(greatest_lower_bound(X_154,identity),identity),X_31) != multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31)
| greatest_lower_bound(X_31,multiply(greatest_lower_bound(X_154,identity),X_31)) != multiply(greatest_lower_bound(greatest_lower_bound(X_154,identity),identity),X_31)
| greatest_lower_bound(X_31,multiply(greatest_lower_bound(X_154,identity),X_31)) = multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(X_31,multiply(greatest_lower_bound(X_154,identity),X_31)))),bind(Y0,$fot(multiply(greatest_lower_bound(greatest_lower_bound(X_154,identity),identity),X_31))),bind(Z0,$fot(multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31)))]]) ).
cnf(refute_0_2137,plain,
( multiply(greatest_lower_bound(greatest_lower_bound(X_154,identity),identity),X_31) != multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31)
| greatest_lower_bound(X_31,multiply(greatest_lower_bound(X_154,identity),X_31)) = multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_31,multiply(greatest_lower_bound(X_154,identity),X_31)),multiply(greatest_lower_bound(greatest_lower_bound(X_154,identity),identity),X_31)) )],[refute_0_2135,refute_0_2136]) ).
cnf(refute_0_2138,plain,
greatest_lower_bound(X_31,multiply(greatest_lower_bound(X_154,identity),X_31)) = multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(greatest_lower_bound(X_154,identity),identity),X_31),multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31)) )],[refute_0_2132,refute_0_2137]) ).
cnf(refute_0_2139,plain,
greatest_lower_bound(Y,greatest_lower_bound(X_43,multiply(X_154,Y))) = greatest_lower_bound(X_43,greatest_lower_bound(Y,multiply(X_154,Y))),
inference(subst,[],[refute_0_1308:[bind(X_45,$fot(multiply(X_154,Y)))]]) ).
cnf(refute_0_2140,plain,
multiply(greatest_lower_bound(X_154,identity),Y) = greatest_lower_bound(Y,multiply(X_154,Y)),
inference(subst,[],[refute_0_2088:[bind(X_84,$fot(Y)),bind(X_85,$fot(X_154))]]) ).
cnf(refute_0_2141,plain,
( multiply(greatest_lower_bound(X_154,identity),Y) != greatest_lower_bound(Y,multiply(X_154,Y))
| greatest_lower_bound(Y,multiply(X_154,Y)) = multiply(greatest_lower_bound(X_154,identity),Y) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(X_154,identity),Y))),bind(Y0,$fot(greatest_lower_bound(Y,multiply(X_154,Y))))]]) ).
cnf(refute_0_2142,plain,
greatest_lower_bound(Y,multiply(X_154,Y)) = multiply(greatest_lower_bound(X_154,identity),Y),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_154,identity),Y),greatest_lower_bound(Y,multiply(X_154,Y))) )],[refute_0_2140,refute_0_2141]) ).
cnf(refute_0_2143,plain,
( greatest_lower_bound(Y,multiply(X_154,Y)) != multiply(greatest_lower_bound(X_154,identity),Y)
| greatest_lower_bound(Y,greatest_lower_bound(X_43,multiply(X_154,Y))) != greatest_lower_bound(X_43,greatest_lower_bound(Y,multiply(X_154,Y)))
| greatest_lower_bound(Y,greatest_lower_bound(X_43,multiply(X_154,Y))) = greatest_lower_bound(X_43,multiply(greatest_lower_bound(X_154,identity),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(X_43,multiply(X_154,Y))),greatest_lower_bound(X_43,greatest_lower_bound(Y,multiply(X_154,Y)))) ),[1,1],$fot(multiply(greatest_lower_bound(X_154,identity),Y))]]) ).
cnf(refute_0_2144,plain,
( greatest_lower_bound(Y,greatest_lower_bound(X_43,multiply(X_154,Y))) != greatest_lower_bound(X_43,greatest_lower_bound(Y,multiply(X_154,Y)))
| greatest_lower_bound(Y,greatest_lower_bound(X_43,multiply(X_154,Y))) = greatest_lower_bound(X_43,multiply(greatest_lower_bound(X_154,identity),Y)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(Y,multiply(X_154,Y)),multiply(greatest_lower_bound(X_154,identity),Y)) )],[refute_0_2142,refute_0_2143]) ).
cnf(refute_0_2145,plain,
greatest_lower_bound(Y,greatest_lower_bound(X_43,multiply(X_154,Y))) = greatest_lower_bound(X_43,multiply(greatest_lower_bound(X_154,identity),Y)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(Y,greatest_lower_bound(X_43,multiply(X_154,Y))),greatest_lower_bound(X_43,greatest_lower_bound(Y,multiply(X_154,Y)))) )],[refute_0_2139,refute_0_2144]) ).
cnf(refute_0_2146,plain,
greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))) = greatest_lower_bound(X_31,multiply(greatest_lower_bound(X_154,identity),X_31)),
inference(subst,[],[refute_0_2145:[bind(Y,$fot(X_31)),bind(X_43,$fot(X_31))]]) ).
cnf(refute_0_2147,plain,
( greatest_lower_bound(X_31,multiply(greatest_lower_bound(X_154,identity),X_31)) != multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31)
| greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))) != greatest_lower_bound(X_31,multiply(greatest_lower_bound(X_154,identity),X_31))
| greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))) = multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))))),bind(Y0,$fot(greatest_lower_bound(X_31,multiply(greatest_lower_bound(X_154,identity),X_31)))),bind(Z0,$fot(multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31)))]]) ).
cnf(refute_0_2148,plain,
( greatest_lower_bound(X_31,multiply(greatest_lower_bound(X_154,identity),X_31)) != multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31)
| greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))) = multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))),greatest_lower_bound(X_31,multiply(greatest_lower_bound(X_154,identity),X_31))) )],[refute_0_2146,refute_0_2147]) ).
cnf(refute_0_2149,plain,
greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))) = multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_31,multiply(greatest_lower_bound(X_154,identity),X_31)),multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31)) )],[refute_0_2138,refute_0_2148]) ).
cnf(refute_0_2150,plain,
( multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31) != multiply(greatest_lower_bound(identity,X_154),X_31)
| greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))) != multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31)
| greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))) = multiply(greatest_lower_bound(identity,X_154),X_31) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))))),bind(Y0,$fot(multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31))),bind(Z0,$fot(multiply(greatest_lower_bound(identity,X_154),X_31)))]]) ).
cnf(refute_0_2151,plain,
( multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31) != multiply(greatest_lower_bound(identity,X_154),X_31)
| greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))) = multiply(greatest_lower_bound(identity,X_154),X_31) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))),multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31)) )],[refute_0_2149,refute_0_2150]) ).
cnf(refute_0_2152,plain,
greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))) = multiply(greatest_lower_bound(identity,X_154),X_31),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,greatest_lower_bound(X_154,identity)),X_31),multiply(greatest_lower_bound(identity,X_154),X_31)) )],[refute_0_2099,refute_0_2151]) ).
cnf(refute_0_2153,plain,
( greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))) != multiply(greatest_lower_bound(X_154,identity),X_31)
| greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))) != multiply(greatest_lower_bound(identity,X_154),X_31)
| multiply(greatest_lower_bound(identity,X_154),X_31) = multiply(greatest_lower_bound(X_154,identity),X_31) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))),multiply(greatest_lower_bound(X_154,identity),X_31)) ),[0],$fot(multiply(greatest_lower_bound(identity,X_154),X_31))]]) ).
cnf(refute_0_2154,plain,
( greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))) != multiply(greatest_lower_bound(X_154,identity),X_31)
| multiply(greatest_lower_bound(identity,X_154),X_31) = multiply(greatest_lower_bound(X_154,identity),X_31) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))),multiply(greatest_lower_bound(identity,X_154),X_31)) )],[refute_0_2152,refute_0_2153]) ).
cnf(refute_0_2155,plain,
multiply(greatest_lower_bound(identity,X_154),X_31) = multiply(greatest_lower_bound(X_154,identity),X_31),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_31,greatest_lower_bound(X_31,multiply(X_154,X_31))),multiply(greatest_lower_bound(X_154,identity),X_31)) )],[refute_0_2094,refute_0_2154]) ).
cnf(refute_0_2156,plain,
( multiply(greatest_lower_bound(identity,X_154),X_31) != multiply(greatest_lower_bound(X_154,identity),X_31)
| multiply(greatest_lower_bound(X_154,identity),X_31) = multiply(greatest_lower_bound(identity,X_154),X_31) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(identity,X_154),X_31))),bind(Y0,$fot(multiply(greatest_lower_bound(X_154,identity),X_31)))]]) ).
cnf(refute_0_2157,plain,
multiply(greatest_lower_bound(X_154,identity),X_31) = multiply(greatest_lower_bound(identity,X_154),X_31),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_154),X_31),multiply(greatest_lower_bound(X_154,identity),X_31)) )],[refute_0_2155,refute_0_2156]) ).
cnf(refute_0_2158,plain,
multiply(greatest_lower_bound(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity) = multiply(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),identity),
inference(subst,[],[refute_0_2157:[bind(X_154,$fot(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))),bind(X_31,$fot(identity))]]) ).
cnf(refute_0_2159,plain,
( multiply(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),identity) != greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| multiply(greatest_lower_bound(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity) != multiply(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),identity)
| multiply(greatest_lower_bound(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity) = greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(greatest_lower_bound(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity))),bind(Y0,$fot(multiply(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),identity))),bind(Z0,$fot(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))))]]) ).
cnf(refute_0_2160,plain,
( multiply(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),identity) != greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| multiply(greatest_lower_bound(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity) = greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity),multiply(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),identity)) )],[refute_0_2158,refute_0_2159]) ).
cnf(refute_0_2161,plain,
multiply(greatest_lower_bound(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity) = greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),identity),greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) )],[refute_0_2078,refute_0_2160]) ).
cnf(refute_0_2162,plain,
greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)) = multiply(greatest_lower_bound(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity),
inference(subst,[],[refute_0_2134:[bind(X_84,$fot(identity)),bind(X_85,$fot(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))]]) ).
cnf(refute_0_2163,plain,
( multiply(greatest_lower_bound(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity) != greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)) != multiply(greatest_lower_bound(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity)
| greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)) = greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))),bind(Y0,$fot(multiply(greatest_lower_bound(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity))),bind(Z0,$fot(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))))]]) ).
cnf(refute_0_2164,plain,
( multiply(greatest_lower_bound(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity) != greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)) = greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)),multiply(greatest_lower_bound(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity)) )],[refute_0_2162,refute_0_2163]) ).
cnf(refute_0_2165,plain,
greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)) = greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity),greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) )],[refute_0_2161,refute_0_2164]) ).
cnf(refute_0_2166,plain,
inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))) = inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),
introduced(tautology,[refl,[$fot(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))))]]) ).
cnf(refute_0_2167,plain,
( greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)) != greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))) != inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))
| inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))) = inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))) ),[1,0],$fot(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))]]) ).
cnf(refute_0_2168,plain,
( greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)) != greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))) = inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))) )],[refute_0_2166,refute_0_2167]) ).
cnf(refute_0_2169,plain,
inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))) = inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)),greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) )],[refute_0_2165,refute_0_2168]) ).
cnf(refute_0_2170,plain,
multiply(least_upper_bound(X_139,inverse(X_135)),least_upper_bound(identity,X_135)) = least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),multiply(inverse(X_135),least_upper_bound(identity,X_135))),
inference(subst,[],[monotony_lub2:[bind(X,$fot(least_upper_bound(identity,X_135))),bind(Y,$fot(X_139)),bind(Z,$fot(inverse(X_135)))]]) ).
cnf(refute_0_2171,plain,
( multiply(inverse(X_135),least_upper_bound(identity,X_135)) != least_upper_bound(identity,inverse(X_135))
| multiply(least_upper_bound(X_139,inverse(X_135)),least_upper_bound(identity,X_135)) != least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),multiply(inverse(X_135),least_upper_bound(identity,X_135)))
| multiply(least_upper_bound(X_139,inverse(X_135)),least_upper_bound(identity,X_135)) = least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),least_upper_bound(identity,inverse(X_135))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_139,inverse(X_135)),least_upper_bound(identity,X_135)),least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),multiply(inverse(X_135),least_upper_bound(identity,X_135)))) ),[1,1],$fot(least_upper_bound(identity,inverse(X_135)))]]) ).
cnf(refute_0_2172,plain,
( multiply(least_upper_bound(X_139,inverse(X_135)),least_upper_bound(identity,X_135)) != least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),multiply(inverse(X_135),least_upper_bound(identity,X_135)))
| multiply(least_upper_bound(X_139,inverse(X_135)),least_upper_bound(identity,X_135)) = least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),least_upper_bound(identity,inverse(X_135))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_135),least_upper_bound(identity,X_135)),least_upper_bound(identity,inverse(X_135))) )],[refute_0_416,refute_0_2171]) ).
cnf(refute_0_2173,plain,
multiply(least_upper_bound(X_139,inverse(X_135)),least_upper_bound(identity,X_135)) = least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),least_upper_bound(identity,inverse(X_135))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,inverse(X_135)),least_upper_bound(identity,X_135)),least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),multiply(inverse(X_135),least_upper_bound(identity,X_135)))) )],[refute_0_2170,refute_0_2172]) ).
cnf(refute_0_2174,plain,
least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)) = least_upper_bound(X_47,least_upper_bound(X_48,least_upper_bound(X_15,X_48))),
inference(subst,[],[refute_0_1038:[bind(X,$fot(least_upper_bound(X_15,X_48))),bind(X_36,$fot(X_47)),bind(X_37,$fot(X_48))]]) ).
cnf(refute_0_2175,plain,
least_upper_bound(X_48,least_upper_bound(X_15,X_48)) = least_upper_bound(X_48,X_15),
inference(subst,[],[refute_0_438:[bind(X_11,$fot(X_48))]]) ).
cnf(refute_0_2176,plain,
( least_upper_bound(X_48,least_upper_bound(X_15,X_48)) != least_upper_bound(X_48,X_15)
| least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)) != least_upper_bound(X_47,least_upper_bound(X_48,least_upper_bound(X_15,X_48)))
| least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)) = least_upper_bound(X_47,least_upper_bound(X_48,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)),least_upper_bound(X_47,least_upper_bound(X_48,least_upper_bound(X_15,X_48)))) ),[1,1],$fot(least_upper_bound(X_48,X_15))]]) ).
cnf(refute_0_2177,plain,
( least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)) != least_upper_bound(X_47,least_upper_bound(X_48,least_upper_bound(X_15,X_48)))
| least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)) = least_upper_bound(X_47,least_upper_bound(X_48,X_15)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_48,least_upper_bound(X_15,X_48)),least_upper_bound(X_48,X_15)) )],[refute_0_2175,refute_0_2176]) ).
cnf(refute_0_2178,plain,
least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)) = least_upper_bound(X_47,least_upper_bound(X_48,X_15)),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)),least_upper_bound(X_47,least_upper_bound(X_48,least_upper_bound(X_15,X_48)))) )],[refute_0_2174,refute_0_2177]) ).
cnf(refute_0_2179,plain,
least_upper_bound(X_11,least_upper_bound(least_upper_bound(X_36,X_37),X_11)) = least_upper_bound(X_11,least_upper_bound(X_36,X_37)),
inference(subst,[],[refute_0_438:[bind(X_15,$fot(least_upper_bound(X_36,X_37)))]]) ).
cnf(refute_0_2180,plain,
least_upper_bound(X_36,least_upper_bound(X_37,X_11)) = least_upper_bound(least_upper_bound(X_36,X_37),X_11),
inference(subst,[],[associativity_of_lub:[bind(X,$fot(X_36)),bind(Y,$fot(X_37)),bind(Z,$fot(X_11))]]) ).
cnf(refute_0_2181,plain,
( least_upper_bound(X_36,least_upper_bound(X_37,X_11)) != least_upper_bound(least_upper_bound(X_36,X_37),X_11)
| least_upper_bound(least_upper_bound(X_36,X_37),X_11) = least_upper_bound(X_36,least_upper_bound(X_37,X_11)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_36,least_upper_bound(X_37,X_11)))),bind(Y0,$fot(least_upper_bound(least_upper_bound(X_36,X_37),X_11)))]]) ).
cnf(refute_0_2182,plain,
least_upper_bound(least_upper_bound(X_36,X_37),X_11) = least_upper_bound(X_36,least_upper_bound(X_37,X_11)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(X_37,X_11)),least_upper_bound(least_upper_bound(X_36,X_37),X_11)) )],[refute_0_2180,refute_0_2181]) ).
cnf(refute_0_2183,plain,
( least_upper_bound(X_11,least_upper_bound(least_upper_bound(X_36,X_37),X_11)) != least_upper_bound(X_11,least_upper_bound(X_36,X_37))
| least_upper_bound(least_upper_bound(X_36,X_37),X_11) != least_upper_bound(X_36,least_upper_bound(X_37,X_11))
| least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_37,X_11))) = least_upper_bound(X_11,least_upper_bound(X_36,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_11,least_upper_bound(least_upper_bound(X_36,X_37),X_11)),least_upper_bound(X_11,least_upper_bound(X_36,X_37))) ),[0,1],$fot(least_upper_bound(X_36,least_upper_bound(X_37,X_11)))]]) ).
cnf(refute_0_2184,plain,
( least_upper_bound(X_11,least_upper_bound(least_upper_bound(X_36,X_37),X_11)) != least_upper_bound(X_11,least_upper_bound(X_36,X_37))
| least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_37,X_11))) = least_upper_bound(X_11,least_upper_bound(X_36,X_37)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_36,X_37),X_11),least_upper_bound(X_36,least_upper_bound(X_37,X_11))) )],[refute_0_2182,refute_0_2183]) ).
cnf(refute_0_2185,plain,
least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_37,X_11))) = least_upper_bound(X_11,least_upper_bound(X_36,X_37)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_11,least_upper_bound(least_upper_bound(X_36,X_37),X_11)),least_upper_bound(X_11,least_upper_bound(X_36,X_37))) )],[refute_0_2179,refute_0_2184]) ).
cnf(refute_0_2186,plain,
least_upper_bound(X_48,least_upper_bound(X_47,least_upper_bound(X_15,X_48))) = least_upper_bound(X_48,least_upper_bound(X_47,X_15)),
inference(subst,[],[refute_0_2185:[bind(X_11,$fot(X_48)),bind(X_36,$fot(X_47)),bind(X_37,$fot(X_15))]]) ).
cnf(refute_0_2187,plain,
( least_upper_bound(X_46,least_upper_bound(X_47,X_15)) != least_upper_bound(X_15,least_upper_bound(X_47,X_46))
| least_upper_bound(X_15,least_upper_bound(X_47,X_46)) = least_upper_bound(X_46,least_upper_bound(X_47,X_15)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_46,least_upper_bound(X_47,X_15)))),bind(Y0,$fot(least_upper_bound(X_15,least_upper_bound(X_47,X_46))))]]) ).
cnf(refute_0_2188,plain,
least_upper_bound(X_15,least_upper_bound(X_47,X_46)) = least_upper_bound(X_46,least_upper_bound(X_47,X_15)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_46,least_upper_bound(X_47,X_15)),least_upper_bound(X_15,least_upper_bound(X_47,X_46))) )],[refute_0_1123,refute_0_2187]) ).
cnf(refute_0_2189,plain,
least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)) = least_upper_bound(X_48,least_upper_bound(X_47,least_upper_bound(X_15,X_48))),
inference(subst,[],[refute_0_2188:[bind(X_15,$fot(least_upper_bound(X_15,X_48))),bind(X_46,$fot(X_48))]]) ).
cnf(refute_0_2190,plain,
( least_upper_bound(X_48,least_upper_bound(X_47,least_upper_bound(X_15,X_48))) != least_upper_bound(X_48,least_upper_bound(X_47,X_15))
| least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)) != least_upper_bound(X_48,least_upper_bound(X_47,least_upper_bound(X_15,X_48)))
| least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)) = least_upper_bound(X_48,least_upper_bound(X_47,X_15)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)))),bind(Y0,$fot(least_upper_bound(X_48,least_upper_bound(X_47,least_upper_bound(X_15,X_48))))),bind(Z0,$fot(least_upper_bound(X_48,least_upper_bound(X_47,X_15))))]]) ).
cnf(refute_0_2191,plain,
( least_upper_bound(X_48,least_upper_bound(X_47,least_upper_bound(X_15,X_48))) != least_upper_bound(X_48,least_upper_bound(X_47,X_15))
| least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)) = least_upper_bound(X_48,least_upper_bound(X_47,X_15)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)),least_upper_bound(X_48,least_upper_bound(X_47,least_upper_bound(X_15,X_48)))) )],[refute_0_2189,refute_0_2190]) ).
cnf(refute_0_2192,plain,
least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)) = least_upper_bound(X_48,least_upper_bound(X_47,X_15)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_48,least_upper_bound(X_47,least_upper_bound(X_15,X_48))),least_upper_bound(X_48,least_upper_bound(X_47,X_15))) )],[refute_0_2186,refute_0_2191]) ).
cnf(refute_0_2193,plain,
( least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)) != least_upper_bound(X_47,least_upper_bound(X_48,X_15))
| least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)) != least_upper_bound(X_48,least_upper_bound(X_47,X_15))
| least_upper_bound(X_48,least_upper_bound(X_47,X_15)) = least_upper_bound(X_47,least_upper_bound(X_48,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)),least_upper_bound(X_47,least_upper_bound(X_48,X_15))) ),[0],$fot(least_upper_bound(X_48,least_upper_bound(X_47,X_15)))]]) ).
cnf(refute_0_2194,plain,
( least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)) != least_upper_bound(X_47,least_upper_bound(X_48,X_15))
| least_upper_bound(X_48,least_upper_bound(X_47,X_15)) = least_upper_bound(X_47,least_upper_bound(X_48,X_15)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)),least_upper_bound(X_48,least_upper_bound(X_47,X_15))) )],[refute_0_2192,refute_0_2193]) ).
cnf(refute_0_2195,plain,
least_upper_bound(X_48,least_upper_bound(X_47,X_15)) = least_upper_bound(X_47,least_upper_bound(X_48,X_15)),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_15,X_48),least_upper_bound(X_47,X_48)),least_upper_bound(X_47,least_upper_bound(X_48,X_15))) )],[refute_0_2178,refute_0_2194]) ).
cnf(refute_0_2196,plain,
( least_upper_bound(X_48,least_upper_bound(X_47,X_15)) != least_upper_bound(X_47,least_upper_bound(X_48,X_15))
| least_upper_bound(X_47,least_upper_bound(X_48,X_15)) = least_upper_bound(X_48,least_upper_bound(X_47,X_15)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_48,least_upper_bound(X_47,X_15)))),bind(Y0,$fot(least_upper_bound(X_47,least_upper_bound(X_48,X_15))))]]) ).
cnf(refute_0_2197,plain,
least_upper_bound(X_47,least_upper_bound(X_48,X_15)) = least_upper_bound(X_48,least_upper_bound(X_47,X_15)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_48,least_upper_bound(X_47,X_15)),least_upper_bound(X_47,least_upper_bound(X_48,X_15))) )],[refute_0_2195,refute_0_2196]) ).
cnf(refute_0_2198,plain,
least_upper_bound(inverse(X_135),least_upper_bound(identity,multiply(X_139,least_upper_bound(identity,X_135)))) = least_upper_bound(identity,least_upper_bound(inverse(X_135),multiply(X_139,least_upper_bound(identity,X_135)))),
inference(subst,[],[refute_0_2197:[bind(X_15,$fot(multiply(X_139,least_upper_bound(identity,X_135)))),bind(X_47,$fot(inverse(X_135))),bind(X_48,$fot(identity))]]) ).
cnf(refute_0_2199,plain,
least_upper_bound(X_36,least_upper_bound(X_37,X)) = least_upper_bound(X_37,least_upper_bound(X_36,X)),
inference(subst,[],[refute_0_1065:[bind(X_15,$fot(X_36)),bind(X_36,$fot(X_37)),bind(X_38,$fot(X))]]) ).
cnf(refute_0_2200,plain,
( least_upper_bound(X,least_upper_bound(X_36,X_37)) != least_upper_bound(X_36,least_upper_bound(X_37,X))
| least_upper_bound(X_36,least_upper_bound(X_37,X)) != least_upper_bound(X_37,least_upper_bound(X_36,X))
| least_upper_bound(X,least_upper_bound(X_36,X_37)) = least_upper_bound(X_37,least_upper_bound(X_36,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(X,least_upper_bound(X_36,X_37)),least_upper_bound(X_37,least_upper_bound(X_36,X))) ),[0],$fot(least_upper_bound(X_36,least_upper_bound(X_37,X)))]]) ).
cnf(refute_0_2201,plain,
( least_upper_bound(X,least_upper_bound(X_36,X_37)) != least_upper_bound(X_36,least_upper_bound(X_37,X))
| least_upper_bound(X,least_upper_bound(X_36,X_37)) = least_upper_bound(X_37,least_upper_bound(X_36,X)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(X_37,X)),least_upper_bound(X_37,least_upper_bound(X_36,X))) )],[refute_0_2199,refute_0_2200]) ).
cnf(refute_0_2202,plain,
least_upper_bound(X,least_upper_bound(X_36,X_37)) = least_upper_bound(X_37,least_upper_bound(X_36,X)),
inference(resolve,[$cnf( $equal(least_upper_bound(X,least_upper_bound(X_36,X_37)),least_upper_bound(X_36,least_upper_bound(X_37,X))) )],[refute_0_1038,refute_0_2201]) ).
cnf(refute_0_2203,plain,
( least_upper_bound(X,least_upper_bound(X_36,X_37)) != least_upper_bound(X_37,least_upper_bound(X_36,X))
| least_upper_bound(X_37,least_upper_bound(X_36,X)) = least_upper_bound(X,least_upper_bound(X_36,X_37)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X,least_upper_bound(X_36,X_37)))),bind(Y0,$fot(least_upper_bound(X_37,least_upper_bound(X_36,X))))]]) ).
cnf(refute_0_2204,plain,
least_upper_bound(X_37,least_upper_bound(X_36,X)) = least_upper_bound(X,least_upper_bound(X_36,X_37)),
inference(resolve,[$cnf( $equal(least_upper_bound(X,least_upper_bound(X_36,X_37)),least_upper_bound(X_37,least_upper_bound(X_36,X))) )],[refute_0_2202,refute_0_2203]) ).
cnf(refute_0_2205,plain,
least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),least_upper_bound(identity,inverse(X_135))) = least_upper_bound(inverse(X_135),least_upper_bound(identity,multiply(X_139,least_upper_bound(identity,X_135)))),
inference(subst,[],[refute_0_2204:[bind(X,$fot(inverse(X_135))),bind(X_36,$fot(identity)),bind(X_37,$fot(multiply(X_139,least_upper_bound(identity,X_135))))]]) ).
cnf(refute_0_2206,plain,
( least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),least_upper_bound(identity,inverse(X_135))) != least_upper_bound(inverse(X_135),least_upper_bound(identity,multiply(X_139,least_upper_bound(identity,X_135))))
| least_upper_bound(inverse(X_135),least_upper_bound(identity,multiply(X_139,least_upper_bound(identity,X_135)))) != least_upper_bound(identity,least_upper_bound(inverse(X_135),multiply(X_139,least_upper_bound(identity,X_135))))
| least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),least_upper_bound(identity,inverse(X_135))) = least_upper_bound(identity,least_upper_bound(inverse(X_135),multiply(X_139,least_upper_bound(identity,X_135)))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),least_upper_bound(identity,inverse(X_135))))),bind(Y0,$fot(least_upper_bound(inverse(X_135),least_upper_bound(identity,multiply(X_139,least_upper_bound(identity,X_135)))))),bind(Z0,$fot(least_upper_bound(identity,least_upper_bound(inverse(X_135),multiply(X_139,least_upper_bound(identity,X_135))))))]]) ).
cnf(refute_0_2207,plain,
( least_upper_bound(inverse(X_135),least_upper_bound(identity,multiply(X_139,least_upper_bound(identity,X_135)))) != least_upper_bound(identity,least_upper_bound(inverse(X_135),multiply(X_139,least_upper_bound(identity,X_135))))
| least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),least_upper_bound(identity,inverse(X_135))) = least_upper_bound(identity,least_upper_bound(inverse(X_135),multiply(X_139,least_upper_bound(identity,X_135)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),least_upper_bound(identity,inverse(X_135))),least_upper_bound(inverse(X_135),least_upper_bound(identity,multiply(X_139,least_upper_bound(identity,X_135))))) )],[refute_0_2205,refute_0_2206]) ).
cnf(refute_0_2208,plain,
least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),least_upper_bound(identity,inverse(X_135))) = least_upper_bound(identity,least_upper_bound(inverse(X_135),multiply(X_139,least_upper_bound(identity,X_135)))),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(X_135),least_upper_bound(identity,multiply(X_139,least_upper_bound(identity,X_135)))),least_upper_bound(identity,least_upper_bound(inverse(X_135),multiply(X_139,least_upper_bound(identity,X_135))))) )],[refute_0_2198,refute_0_2207]) ).
cnf(refute_0_2209,plain,
( multiply(least_upper_bound(X_139,inverse(X_135)),least_upper_bound(identity,X_135)) != least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),least_upper_bound(identity,inverse(X_135)))
| least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),least_upper_bound(identity,inverse(X_135))) != least_upper_bound(identity,least_upper_bound(inverse(X_135),multiply(X_139,least_upper_bound(identity,X_135))))
| multiply(least_upper_bound(X_139,inverse(X_135)),least_upper_bound(identity,X_135)) = least_upper_bound(identity,least_upper_bound(inverse(X_135),multiply(X_139,least_upper_bound(identity,X_135)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(least_upper_bound(X_139,inverse(X_135)),least_upper_bound(identity,X_135)),least_upper_bound(identity,least_upper_bound(inverse(X_135),multiply(X_139,least_upper_bound(identity,X_135))))) ),[0],$fot(least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),least_upper_bound(identity,inverse(X_135))))]]) ).
cnf(refute_0_2210,plain,
( multiply(least_upper_bound(X_139,inverse(X_135)),least_upper_bound(identity,X_135)) != least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),least_upper_bound(identity,inverse(X_135)))
| multiply(least_upper_bound(X_139,inverse(X_135)),least_upper_bound(identity,X_135)) = least_upper_bound(identity,least_upper_bound(inverse(X_135),multiply(X_139,least_upper_bound(identity,X_135)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),least_upper_bound(identity,inverse(X_135))),least_upper_bound(identity,least_upper_bound(inverse(X_135),multiply(X_139,least_upper_bound(identity,X_135))))) )],[refute_0_2208,refute_0_2209]) ).
cnf(refute_0_2211,plain,
multiply(least_upper_bound(X_139,inverse(X_135)),least_upper_bound(identity,X_135)) = least_upper_bound(identity,least_upper_bound(inverse(X_135),multiply(X_139,least_upper_bound(identity,X_135)))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,inverse(X_135)),least_upper_bound(identity,X_135)),least_upper_bound(multiply(X_139,least_upper_bound(identity,X_135)),least_upper_bound(identity,inverse(X_135)))) )],[refute_0_2173,refute_0_2210]) ).
cnf(refute_0_2212,plain,
multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(X_73,identity))))),
inference(subst,[],[refute_0_2211:[bind(X_135,$fot(greatest_lower_bound(X_73,identity))),bind(X_139,$fot(inverse(X_73)))]]) ).
cnf(refute_0_2213,plain,
multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(X_73,identity))) = least_upper_bound(multiply(inverse(X_73),X_130),multiply(inverse(X_73),greatest_lower_bound(X_73,identity))),
inference(subst,[],[monotony_lub1:[bind(X,$fot(inverse(X_73))),bind(Y,$fot(X_130)),bind(Z,$fot(greatest_lower_bound(X_73,identity)))]]) ).
cnf(refute_0_2214,plain,
( multiply(inverse(X_73),greatest_lower_bound(X_73,identity)) != greatest_lower_bound(identity,inverse(X_73))
| multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(X_73,identity))) != least_upper_bound(multiply(inverse(X_73),X_130),multiply(inverse(X_73),greatest_lower_bound(X_73,identity)))
| multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(X_73,identity))) = least_upper_bound(multiply(inverse(X_73),X_130),greatest_lower_bound(identity,inverse(X_73))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(X_73,identity))),least_upper_bound(multiply(inverse(X_73),X_130),multiply(inverse(X_73),greatest_lower_bound(X_73,identity)))) ),[1,1],$fot(greatest_lower_bound(identity,inverse(X_73)))]]) ).
cnf(refute_0_2215,plain,
( multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(X_73,identity))) != least_upper_bound(multiply(inverse(X_73),X_130),multiply(inverse(X_73),greatest_lower_bound(X_73,identity)))
| multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(X_73,identity))) = least_upper_bound(multiply(inverse(X_73),X_130),greatest_lower_bound(identity,inverse(X_73))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_73),greatest_lower_bound(X_73,identity)),greatest_lower_bound(identity,inverse(X_73))) )],[refute_0_48,refute_0_2214]) ).
cnf(refute_0_2216,plain,
multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(X_73,identity))) = least_upper_bound(multiply(inverse(X_73),X_130),greatest_lower_bound(identity,inverse(X_73))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(X_73,identity))),least_upper_bound(multiply(inverse(X_73),X_130),multiply(inverse(X_73),greatest_lower_bound(X_73,identity)))) )],[refute_0_2213,refute_0_2215]) ).
cnf(refute_0_2217,plain,
multiply(inverse(X_75),least_upper_bound(X_130,greatest_lower_bound(identity,X_75))) = least_upper_bound(multiply(inverse(X_75),X_130),multiply(inverse(X_75),greatest_lower_bound(identity,X_75))),
inference(subst,[],[monotony_lub1:[bind(X,$fot(inverse(X_75))),bind(Y,$fot(X_130)),bind(Z,$fot(greatest_lower_bound(identity,X_75)))]]) ).
cnf(refute_0_2218,plain,
( multiply(inverse(X_75),greatest_lower_bound(identity,X_75)) != greatest_lower_bound(identity,inverse(X_75))
| multiply(inverse(X_75),least_upper_bound(X_130,greatest_lower_bound(identity,X_75))) != least_upper_bound(multiply(inverse(X_75),X_130),multiply(inverse(X_75),greatest_lower_bound(identity,X_75)))
| multiply(inverse(X_75),least_upper_bound(X_130,greatest_lower_bound(identity,X_75))) = least_upper_bound(multiply(inverse(X_75),X_130),greatest_lower_bound(identity,inverse(X_75))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_75),least_upper_bound(X_130,greatest_lower_bound(identity,X_75))),least_upper_bound(multiply(inverse(X_75),X_130),multiply(inverse(X_75),greatest_lower_bound(identity,X_75)))) ),[1,1],$fot(greatest_lower_bound(identity,inverse(X_75)))]]) ).
cnf(refute_0_2219,plain,
( multiply(inverse(X_75),least_upper_bound(X_130,greatest_lower_bound(identity,X_75))) != least_upper_bound(multiply(inverse(X_75),X_130),multiply(inverse(X_75),greatest_lower_bound(identity,X_75)))
| multiply(inverse(X_75),least_upper_bound(X_130,greatest_lower_bound(identity,X_75))) = least_upper_bound(multiply(inverse(X_75),X_130),greatest_lower_bound(identity,inverse(X_75))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_75),greatest_lower_bound(identity,X_75)),greatest_lower_bound(identity,inverse(X_75))) )],[refute_0_55,refute_0_2218]) ).
cnf(refute_0_2220,plain,
multiply(inverse(X_75),least_upper_bound(X_130,greatest_lower_bound(identity,X_75))) = least_upper_bound(multiply(inverse(X_75),X_130),greatest_lower_bound(identity,inverse(X_75))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_75),least_upper_bound(X_130,greatest_lower_bound(identity,X_75))),least_upper_bound(multiply(inverse(X_75),X_130),multiply(inverse(X_75),greatest_lower_bound(identity,X_75)))) )],[refute_0_2217,refute_0_2219]) ).
cnf(refute_0_2221,plain,
( multiply(inverse(X_75),least_upper_bound(X_130,greatest_lower_bound(identity,X_75))) != least_upper_bound(multiply(inverse(X_75),X_130),greatest_lower_bound(identity,inverse(X_75)))
| least_upper_bound(multiply(inverse(X_75),X_130),greatest_lower_bound(identity,inverse(X_75))) = multiply(inverse(X_75),least_upper_bound(X_130,greatest_lower_bound(identity,X_75))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(inverse(X_75),least_upper_bound(X_130,greatest_lower_bound(identity,X_75))))),bind(Y0,$fot(least_upper_bound(multiply(inverse(X_75),X_130),greatest_lower_bound(identity,inverse(X_75)))))]]) ).
cnf(refute_0_2222,plain,
least_upper_bound(multiply(inverse(X_75),X_130),greatest_lower_bound(identity,inverse(X_75))) = multiply(inverse(X_75),least_upper_bound(X_130,greatest_lower_bound(identity,X_75))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_75),least_upper_bound(X_130,greatest_lower_bound(identity,X_75))),least_upper_bound(multiply(inverse(X_75),X_130),greatest_lower_bound(identity,inverse(X_75)))) )],[refute_0_2220,refute_0_2221]) ).
cnf(refute_0_2223,plain,
least_upper_bound(multiply(inverse(X_73),X_130),greatest_lower_bound(identity,inverse(X_73))) = multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(identity,X_73))),
inference(subst,[],[refute_0_2222:[bind(X_75,$fot(X_73))]]) ).
cnf(refute_0_2224,plain,
( multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(X_73,identity))) != least_upper_bound(multiply(inverse(X_73),X_130),greatest_lower_bound(identity,inverse(X_73)))
| least_upper_bound(multiply(inverse(X_73),X_130),greatest_lower_bound(identity,inverse(X_73))) != multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(identity,X_73)))
| multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(X_73,identity))) = multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(identity,X_73))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(X_73,identity))),multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(identity,X_73)))) ),[0],$fot(least_upper_bound(multiply(inverse(X_73),X_130),greatest_lower_bound(identity,inverse(X_73))))]]) ).
cnf(refute_0_2225,plain,
( multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(X_73,identity))) != least_upper_bound(multiply(inverse(X_73),X_130),greatest_lower_bound(identity,inverse(X_73)))
| multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(X_73,identity))) = multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(identity,X_73))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(inverse(X_73),X_130),greatest_lower_bound(identity,inverse(X_73))),multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(identity,X_73)))) )],[refute_0_2223,refute_0_2224]) ).
cnf(refute_0_2226,plain,
multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(X_73,identity))) = multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(identity,X_73))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_73),least_upper_bound(X_130,greatest_lower_bound(X_73,identity))),least_upper_bound(multiply(inverse(X_73),X_130),greatest_lower_bound(identity,inverse(X_73)))) )],[refute_0_2216,refute_0_2225]) ).
cnf(refute_0_2227,plain,
multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) = multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))),
inference(subst,[],[refute_0_2226:[bind(X_130,$fot(identity))]]) ).
cnf(refute_0_2228,plain,
( multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) != multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))
| multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(X_73,identity)))))
| multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(X_73,identity)))))) ),[1,1,1],$fot(multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))]]) ).
cnf(refute_0_2229,plain,
( multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(X_73,identity)))))
| multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(X_73,identity))),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))) )],[refute_0_2227,refute_0_2228]) ).
cnf(refute_0_2230,plain,
multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(X_73,identity)))))) )],[refute_0_2212,refute_0_2229]) ).
cnf(refute_0_2231,plain,
multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),identity) = least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),
inference(subst,[],[refute_0_573:[bind(X,$fot(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity)))))]]) ).
cnf(refute_0_2232,plain,
least_upper_bound(identity,greatest_lower_bound(X_73,identity)) = identity,
inference(subst,[],[refute_0_427:[bind(X_10,$fot(identity)),bind(X_11,$fot(X_73))]]) ).
cnf(refute_0_2233,plain,
multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) = multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))),
introduced(tautology,[refl,[$fot(multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))))]]) ).
cnf(refute_0_2234,plain,
( multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) != multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity)))
| least_upper_bound(identity,greatest_lower_bound(X_73,identity)) != identity
| multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) = multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))),multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_2235,plain,
( least_upper_bound(identity,greatest_lower_bound(X_73,identity)) != identity
| multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) = multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),identity) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))),multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity)))) )],[refute_0_2233,refute_0_2234]) ).
cnf(refute_0_2236,plain,
multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) = multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),identity),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,greatest_lower_bound(X_73,identity)),identity) )],[refute_0_2232,refute_0_2235]) ).
cnf(refute_0_2237,plain,
( multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),identity) != least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity)))
| multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) != multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),identity)
| multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) = least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))))),bind(Y0,$fot(multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),identity))),bind(Z0,$fot(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity)))))]]) ).
cnf(refute_0_2238,plain,
( multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),identity) != least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity)))
| multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) = least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))),multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),identity)) )],[refute_0_2236,refute_0_2237]) ).
cnf(refute_0_2239,plain,
multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) = least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),identity),least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity)))) )],[refute_0_2231,refute_0_2238]) ).
cnf(refute_0_2240,plain,
( multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))))
| multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) != least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity)))
| least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))))) ),[0],$fot(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))))]]) ).
cnf(refute_0_2241,plain,
( multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))))
| least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))),least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity)))) )],[refute_0_2239,refute_0_2240]) ).
cnf(refute_0_2242,plain,
multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),multiply(greatest_lower_bound(identity,inverse(X_343)),inverse(greatest_lower_bound(identity,X_343)))),
inference(subst,[],[refute_0_993:[bind(X_138,$fot(inverse(greatest_lower_bound(identity,X_343)))),bind(X_139,$fot(greatest_lower_bound(identity,inverse(X_343))))]]) ).
cnf(refute_0_2243,plain,
inverse(X_343) = multiply(greatest_lower_bound(identity,inverse(X_343)),inverse(greatest_lower_bound(identity,X_343))),
inference(subst,[],[refute_0_979:[bind(X,$fot(X_343))]]) ).
cnf(refute_0_2244,plain,
( inverse(X_343) != multiply(greatest_lower_bound(identity,inverse(X_343)),inverse(greatest_lower_bound(identity,X_343)))
| multiply(greatest_lower_bound(identity,inverse(X_343)),inverse(greatest_lower_bound(identity,X_343))) = inverse(X_343) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(X_343))),bind(Y0,$fot(multiply(greatest_lower_bound(identity,inverse(X_343)),inverse(greatest_lower_bound(identity,X_343)))))]]) ).
cnf(refute_0_2245,plain,
multiply(greatest_lower_bound(identity,inverse(X_343)),inverse(greatest_lower_bound(identity,X_343))) = inverse(X_343),
inference(resolve,[$cnf( $equal(inverse(X_343),multiply(greatest_lower_bound(identity,inverse(X_343)),inverse(greatest_lower_bound(identity,X_343)))) )],[refute_0_2243,refute_0_2244]) ).
cnf(refute_0_2246,plain,
( multiply(greatest_lower_bound(identity,inverse(X_343)),inverse(greatest_lower_bound(identity,X_343))) != inverse(X_343)
| multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),multiply(greatest_lower_bound(identity,inverse(X_343)),inverse(greatest_lower_bound(identity,X_343))))
| multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),inverse(X_343)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))),least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),multiply(greatest_lower_bound(identity,inverse(X_343)),inverse(greatest_lower_bound(identity,X_343))))) ),[1,1],$fot(inverse(X_343))]]) ).
cnf(refute_0_2247,plain,
( multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),multiply(greatest_lower_bound(identity,inverse(X_343)),inverse(greatest_lower_bound(identity,X_343))))
| multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),inverse(X_343)) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(X_343)),inverse(greatest_lower_bound(identity,X_343))),inverse(X_343)) )],[refute_0_2245,refute_0_2246]) ).
cnf(refute_0_2248,plain,
multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),inverse(X_343)),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))),least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),multiply(greatest_lower_bound(identity,inverse(X_343)),inverse(greatest_lower_bound(identity,X_343))))) )],[refute_0_2242,refute_0_2247]) ).
cnf(refute_0_2249,plain,
multiply(identity,inverse(greatest_lower_bound(identity,X_343))) = inverse(greatest_lower_bound(identity,X_343)),
inference(subst,[],[left_identity:[bind(X,$fot(inverse(greatest_lower_bound(identity,X_343))))]]) ).
cnf(refute_0_2250,plain,
least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))) = identity,
inference(subst,[],[lub_absorbtion:[bind(X,$fot(identity)),bind(Y,$fot(inverse(X_343)))]]) ).
cnf(refute_0_2251,plain,
multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))) = multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))),
introduced(tautology,[refl,[$fot(multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))))]]) ).
cnf(refute_0_2252,plain,
( multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))) != multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343)))
| least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))) != identity
| multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))) = multiply(identity,inverse(greatest_lower_bound(identity,X_343))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))),multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_2253,plain,
( least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))) != identity
| multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))) = multiply(identity,inverse(greatest_lower_bound(identity,X_343))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))),multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343)))) )],[refute_0_2251,refute_0_2252]) ).
cnf(refute_0_2254,plain,
multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))) = multiply(identity,inverse(greatest_lower_bound(identity,X_343))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),identity) )],[refute_0_2250,refute_0_2253]) ).
cnf(refute_0_2255,plain,
( multiply(identity,inverse(greatest_lower_bound(identity,X_343))) != inverse(greatest_lower_bound(identity,X_343))
| multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))) != multiply(identity,inverse(greatest_lower_bound(identity,X_343)))
| multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))) = inverse(greatest_lower_bound(identity,X_343)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))))),bind(Y0,$fot(multiply(identity,inverse(greatest_lower_bound(identity,X_343))))),bind(Z0,$fot(inverse(greatest_lower_bound(identity,X_343))))]]) ).
cnf(refute_0_2256,plain,
( multiply(identity,inverse(greatest_lower_bound(identity,X_343))) != inverse(greatest_lower_bound(identity,X_343))
| multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))) = inverse(greatest_lower_bound(identity,X_343)) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))),multiply(identity,inverse(greatest_lower_bound(identity,X_343)))) )],[refute_0_2254,refute_0_2255]) ).
cnf(refute_0_2257,plain,
multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))) = inverse(greatest_lower_bound(identity,X_343)),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(greatest_lower_bound(identity,X_343))),inverse(greatest_lower_bound(identity,X_343))) )],[refute_0_2249,refute_0_2256]) ).
cnf(refute_0_2258,plain,
multiply(least_upper_bound(Y,greatest_lower_bound(X_226,identity)),X) = least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_226,identity),X)),
inference(subst,[],[monotony_lub2:[bind(Z,$fot(greatest_lower_bound(X_226,identity)))]]) ).
cnf(refute_0_2259,plain,
least_upper_bound(X_210,greatest_lower_bound(X_211,identity)) = multiply(inverse(inverse(X_211)),multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(X_211,identity)))),
inference(subst,[],[refute_0_92:[bind(X_56,$fot(inverse(X_211))),bind(X_57,$fot(least_upper_bound(X_210,greatest_lower_bound(X_211,identity))))]]) ).
cnf(refute_0_2260,plain,
multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(X_211,identity))) = multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(identity,X_211))),
inference(subst,[],[refute_0_2226:[bind(X_130,$fot(X_210)),bind(X_73,$fot(X_211))]]) ).
cnf(refute_0_2261,plain,
( multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(X_211,identity))) != multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(identity,X_211)))
| least_upper_bound(X_210,greatest_lower_bound(X_211,identity)) != multiply(inverse(inverse(X_211)),multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(X_211,identity))))
| least_upper_bound(X_210,greatest_lower_bound(X_211,identity)) = multiply(inverse(inverse(X_211)),multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(identity,X_211)))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_210,greatest_lower_bound(X_211,identity)),multiply(inverse(inverse(X_211)),multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(X_211,identity))))) ),[1,1],$fot(multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(identity,X_211))))]]) ).
cnf(refute_0_2262,plain,
( least_upper_bound(X_210,greatest_lower_bound(X_211,identity)) != multiply(inverse(inverse(X_211)),multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(X_211,identity))))
| least_upper_bound(X_210,greatest_lower_bound(X_211,identity)) = multiply(inverse(inverse(X_211)),multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(identity,X_211)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(X_211,identity))),multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(identity,X_211)))) )],[refute_0_2260,refute_0_2261]) ).
cnf(refute_0_2263,plain,
least_upper_bound(X_210,greatest_lower_bound(X_211,identity)) = multiply(inverse(inverse(X_211)),multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(identity,X_211)))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_210,greatest_lower_bound(X_211,identity)),multiply(inverse(inverse(X_211)),multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(X_211,identity))))) )],[refute_0_2259,refute_0_2262]) ).
cnf(refute_0_2264,plain,
multiply(inverse(inverse(X_211)),multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(identity,X_211)))) = least_upper_bound(X_210,greatest_lower_bound(identity,X_211)),
inference(subst,[],[refute_0_801:[bind(X_56,$fot(inverse(X_211))),bind(X_57,$fot(least_upper_bound(X_210,greatest_lower_bound(identity,X_211))))]]) ).
cnf(refute_0_2265,plain,
( multiply(inverse(inverse(X_211)),multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(identity,X_211)))) != least_upper_bound(X_210,greatest_lower_bound(identity,X_211))
| least_upper_bound(X_210,greatest_lower_bound(X_211,identity)) != multiply(inverse(inverse(X_211)),multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(identity,X_211))))
| least_upper_bound(X_210,greatest_lower_bound(X_211,identity)) = least_upper_bound(X_210,greatest_lower_bound(identity,X_211)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_210,greatest_lower_bound(X_211,identity)),multiply(inverse(inverse(X_211)),multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(identity,X_211))))) ),[1],$fot(least_upper_bound(X_210,greatest_lower_bound(identity,X_211)))]]) ).
cnf(refute_0_2266,plain,
( least_upper_bound(X_210,greatest_lower_bound(X_211,identity)) != multiply(inverse(inverse(X_211)),multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(identity,X_211))))
| least_upper_bound(X_210,greatest_lower_bound(X_211,identity)) = least_upper_bound(X_210,greatest_lower_bound(identity,X_211)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_211)),multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(identity,X_211)))),least_upper_bound(X_210,greatest_lower_bound(identity,X_211))) )],[refute_0_2264,refute_0_2265]) ).
cnf(refute_0_2267,plain,
least_upper_bound(X_210,greatest_lower_bound(X_211,identity)) = least_upper_bound(X_210,greatest_lower_bound(identity,X_211)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_210,greatest_lower_bound(X_211,identity)),multiply(inverse(inverse(X_211)),multiply(inverse(X_211),least_upper_bound(X_210,greatest_lower_bound(identity,X_211))))) )],[refute_0_2263,refute_0_2266]) ).
cnf(refute_0_2268,plain,
least_upper_bound(Y,greatest_lower_bound(X_226,identity)) = least_upper_bound(Y,greatest_lower_bound(identity,X_226)),
inference(subst,[],[refute_0_2267:[bind(X_210,$fot(Y)),bind(X_211,$fot(X_226))]]) ).
cnf(refute_0_2269,plain,
( multiply(least_upper_bound(Y,greatest_lower_bound(X_226,identity)),X) != least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_226,identity),X))
| least_upper_bound(Y,greatest_lower_bound(X_226,identity)) != least_upper_bound(Y,greatest_lower_bound(identity,X_226))
| multiply(least_upper_bound(Y,greatest_lower_bound(identity,X_226)),X) = least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_226,identity),X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(Y,greatest_lower_bound(X_226,identity)),X),least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_226,identity),X))) ),[0,0],$fot(least_upper_bound(Y,greatest_lower_bound(identity,X_226)))]]) ).
cnf(refute_0_2270,plain,
( multiply(least_upper_bound(Y,greatest_lower_bound(X_226,identity)),X) != least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_226,identity),X))
| multiply(least_upper_bound(Y,greatest_lower_bound(identity,X_226)),X) = least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_226,identity),X)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(Y,greatest_lower_bound(X_226,identity)),least_upper_bound(Y,greatest_lower_bound(identity,X_226))) )],[refute_0_2268,refute_0_2269]) ).
cnf(refute_0_2271,plain,
multiply(least_upper_bound(Y,greatest_lower_bound(identity,X_226)),X) = least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_226,identity),X)),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(Y,greatest_lower_bound(X_226,identity)),X),least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_226,identity),X))) )],[refute_0_2258,refute_0_2270]) ).
cnf(refute_0_2272,plain,
least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_226,identity),X)) = multiply(least_upper_bound(Y,greatest_lower_bound(X_226,identity)),X),
inference(subst,[],[refute_0_628:[bind(Z,$fot(greatest_lower_bound(X_226,identity)))]]) ).
cnf(refute_0_2273,plain,
( multiply(least_upper_bound(Y,greatest_lower_bound(identity,X_226)),X) != least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_226,identity),X))
| least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_226,identity),X)) != multiply(least_upper_bound(Y,greatest_lower_bound(X_226,identity)),X)
| multiply(least_upper_bound(Y,greatest_lower_bound(identity,X_226)),X) = multiply(least_upper_bound(Y,greatest_lower_bound(X_226,identity)),X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(least_upper_bound(Y,greatest_lower_bound(identity,X_226)),X),multiply(least_upper_bound(Y,greatest_lower_bound(X_226,identity)),X)) ),[0],$fot(least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_226,identity),X)))]]) ).
cnf(refute_0_2274,plain,
( multiply(least_upper_bound(Y,greatest_lower_bound(identity,X_226)),X) != least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_226,identity),X))
| multiply(least_upper_bound(Y,greatest_lower_bound(identity,X_226)),X) = multiply(least_upper_bound(Y,greatest_lower_bound(X_226,identity)),X) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_226,identity),X)),multiply(least_upper_bound(Y,greatest_lower_bound(X_226,identity)),X)) )],[refute_0_2272,refute_0_2273]) ).
cnf(refute_0_2275,plain,
multiply(least_upper_bound(Y,greatest_lower_bound(identity,X_226)),X) = multiply(least_upper_bound(Y,greatest_lower_bound(X_226,identity)),X),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(Y,greatest_lower_bound(identity,X_226)),X),least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_226,identity),X))) )],[refute_0_2271,refute_0_2274]) ).
cnf(refute_0_2276,plain,
( multiply(least_upper_bound(Y,greatest_lower_bound(identity,X_226)),X) != multiply(least_upper_bound(Y,greatest_lower_bound(X_226,identity)),X)
| multiply(least_upper_bound(Y,greatest_lower_bound(X_226,identity)),X) = multiply(least_upper_bound(Y,greatest_lower_bound(identity,X_226)),X) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(least_upper_bound(Y,greatest_lower_bound(identity,X_226)),X))),bind(Y0,$fot(multiply(least_upper_bound(Y,greatest_lower_bound(X_226,identity)),X)))]]) ).
cnf(refute_0_2277,plain,
multiply(least_upper_bound(Y,greatest_lower_bound(X_226,identity)),X) = multiply(least_upper_bound(Y,greatest_lower_bound(identity,X_226)),X),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(Y,greatest_lower_bound(identity,X_226)),X),multiply(least_upper_bound(Y,greatest_lower_bound(X_226,identity)),X)) )],[refute_0_2275,refute_0_2276]) ).
cnf(refute_0_2278,plain,
multiply(least_upper_bound(identity,greatest_lower_bound(inverse(X_343),identity)),inverse(greatest_lower_bound(identity,X_343))) = multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))),
inference(subst,[],[refute_0_2277:[bind(X,$fot(inverse(greatest_lower_bound(identity,X_343)))),bind(Y,$fot(identity)),bind(X_226,$fot(inverse(X_343)))]]) ).
cnf(refute_0_2279,plain,
multiply(least_upper_bound(Y,greatest_lower_bound(X_319,identity)),X) = least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_319,identity),X)),
inference(subst,[],[monotony_lub2:[bind(Z,$fot(greatest_lower_bound(X_319,identity)))]]) ).
cnf(refute_0_2280,plain,
least_upper_bound(Y,greatest_lower_bound(X_319,identity)) = least_upper_bound(greatest_lower_bound(identity,X_319),Y),
inference(subst,[],[refute_0_1209:[bind(X_218,$fot(X_319)),bind(X_317,$fot(Y))]]) ).
cnf(refute_0_2281,plain,
( multiply(least_upper_bound(Y,greatest_lower_bound(X_319,identity)),X) != least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_319,identity),X))
| least_upper_bound(Y,greatest_lower_bound(X_319,identity)) != least_upper_bound(greatest_lower_bound(identity,X_319),Y)
| multiply(least_upper_bound(greatest_lower_bound(identity,X_319),Y),X) = least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_319,identity),X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(Y,greatest_lower_bound(X_319,identity)),X),least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_319,identity),X))) ),[0,0],$fot(least_upper_bound(greatest_lower_bound(identity,X_319),Y))]]) ).
cnf(refute_0_2282,plain,
( multiply(least_upper_bound(Y,greatest_lower_bound(X_319,identity)),X) != least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_319,identity),X))
| multiply(least_upper_bound(greatest_lower_bound(identity,X_319),Y),X) = least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_319,identity),X)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(Y,greatest_lower_bound(X_319,identity)),least_upper_bound(greatest_lower_bound(identity,X_319),Y)) )],[refute_0_2280,refute_0_2281]) ).
cnf(refute_0_2283,plain,
multiply(least_upper_bound(greatest_lower_bound(identity,X_319),Y),X) = least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_319,identity),X)),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(Y,greatest_lower_bound(X_319,identity)),X),least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_319,identity),X))) )],[refute_0_2279,refute_0_2282]) ).
cnf(refute_0_2284,plain,
least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_319,identity),X)) = multiply(least_upper_bound(Y,greatest_lower_bound(X_319,identity)),X),
inference(subst,[],[refute_0_628:[bind(Z,$fot(greatest_lower_bound(X_319,identity)))]]) ).
cnf(refute_0_2285,plain,
( multiply(least_upper_bound(greatest_lower_bound(identity,X_319),Y),X) != least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_319,identity),X))
| least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_319,identity),X)) != multiply(least_upper_bound(Y,greatest_lower_bound(X_319,identity)),X)
| multiply(least_upper_bound(greatest_lower_bound(identity,X_319),Y),X) = multiply(least_upper_bound(Y,greatest_lower_bound(X_319,identity)),X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(least_upper_bound(greatest_lower_bound(identity,X_319),Y),X),multiply(least_upper_bound(Y,greatest_lower_bound(X_319,identity)),X)) ),[0],$fot(least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_319,identity),X)))]]) ).
cnf(refute_0_2286,plain,
( multiply(least_upper_bound(greatest_lower_bound(identity,X_319),Y),X) != least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_319,identity),X))
| multiply(least_upper_bound(greatest_lower_bound(identity,X_319),Y),X) = multiply(least_upper_bound(Y,greatest_lower_bound(X_319,identity)),X) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_319,identity),X)),multiply(least_upper_bound(Y,greatest_lower_bound(X_319,identity)),X)) )],[refute_0_2284,refute_0_2285]) ).
cnf(refute_0_2287,plain,
multiply(least_upper_bound(greatest_lower_bound(identity,X_319),Y),X) = multiply(least_upper_bound(Y,greatest_lower_bound(X_319,identity)),X),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,X_319),Y),X),least_upper_bound(multiply(Y,X),multiply(greatest_lower_bound(X_319,identity),X))) )],[refute_0_2283,refute_0_2286]) ).
cnf(refute_0_2288,plain,
multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))) = multiply(least_upper_bound(identity,greatest_lower_bound(inverse(X_343),identity)),inverse(greatest_lower_bound(identity,X_343))),
inference(subst,[],[refute_0_2287:[bind(X,$fot(inverse(greatest_lower_bound(identity,X_343)))),bind(Y,$fot(identity)),bind(X_319,$fot(inverse(X_343)))]]) ).
cnf(refute_0_2289,plain,
( multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))) != multiply(least_upper_bound(identity,greatest_lower_bound(inverse(X_343),identity)),inverse(greatest_lower_bound(identity,X_343)))
| multiply(least_upper_bound(identity,greatest_lower_bound(inverse(X_343),identity)),inverse(greatest_lower_bound(identity,X_343))) != multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343)))
| multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))) = multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))))),bind(Y0,$fot(multiply(least_upper_bound(identity,greatest_lower_bound(inverse(X_343),identity)),inverse(greatest_lower_bound(identity,X_343))))),bind(Z0,$fot(multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343)))))]]) ).
cnf(refute_0_2290,plain,
( multiply(least_upper_bound(identity,greatest_lower_bound(inverse(X_343),identity)),inverse(greatest_lower_bound(identity,X_343))) != multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343)))
| multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))) = multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))),multiply(least_upper_bound(identity,greatest_lower_bound(inverse(X_343),identity)),inverse(greatest_lower_bound(identity,X_343)))) )],[refute_0_2288,refute_0_2289]) ).
cnf(refute_0_2291,plain,
multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))) = multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,greatest_lower_bound(inverse(X_343),identity)),inverse(greatest_lower_bound(identity,X_343))),multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343)))) )],[refute_0_2278,refute_0_2290]) ).
cnf(refute_0_2292,plain,
( multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))) != multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343)))
| multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))) != inverse(greatest_lower_bound(identity,X_343))
| multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))) = inverse(greatest_lower_bound(identity,X_343)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))))),bind(Y0,$fot(multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))))),bind(Z0,$fot(inverse(greatest_lower_bound(identity,X_343))))]]) ).
cnf(refute_0_2293,plain,
( multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))) != inverse(greatest_lower_bound(identity,X_343))
| multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))) = inverse(greatest_lower_bound(identity,X_343)) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))),multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343)))) )],[refute_0_2291,refute_0_2292]) ).
cnf(refute_0_2294,plain,
multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))) = inverse(greatest_lower_bound(identity,X_343)),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,greatest_lower_bound(identity,inverse(X_343))),inverse(greatest_lower_bound(identity,X_343))),inverse(greatest_lower_bound(identity,X_343))) )],[refute_0_2257,refute_0_2293]) ).
cnf(refute_0_2295,plain,
( multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))) != inverse(greatest_lower_bound(identity,X_343))
| multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),inverse(X_343))
| inverse(greatest_lower_bound(identity,X_343)) = least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),inverse(X_343)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))),least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),inverse(X_343))) ),[0],$fot(inverse(greatest_lower_bound(identity,X_343)))]]) ).
cnf(refute_0_2296,plain,
( multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),inverse(X_343))
| inverse(greatest_lower_bound(identity,X_343)) = least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),inverse(X_343)) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))),inverse(greatest_lower_bound(identity,X_343))) )],[refute_0_2294,refute_0_2295]) ).
cnf(refute_0_2297,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),inverse(X_343)) = least_upper_bound(inverse(X_343),inverse(greatest_lower_bound(identity,X_343))),
inference(subst,[],[refute_0_404:[bind(X,$fot(inverse(X_343))),bind(Y,$fot(inverse(greatest_lower_bound(identity,X_343))))]]) ).
cnf(refute_0_2298,plain,
( inverse(greatest_lower_bound(identity,X_343)) != least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),inverse(X_343))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),inverse(X_343)) != least_upper_bound(inverse(X_343),inverse(greatest_lower_bound(identity,X_343)))
| inverse(greatest_lower_bound(identity,X_343)) = least_upper_bound(inverse(X_343),inverse(greatest_lower_bound(identity,X_343))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(greatest_lower_bound(identity,X_343)),least_upper_bound(inverse(X_343),inverse(greatest_lower_bound(identity,X_343)))) ),[0],$fot(least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),inverse(X_343)))]]) ).
cnf(refute_0_2299,plain,
( inverse(greatest_lower_bound(identity,X_343)) != least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),inverse(X_343))
| inverse(greatest_lower_bound(identity,X_343)) = least_upper_bound(inverse(X_343),inverse(greatest_lower_bound(identity,X_343))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),inverse(X_343)),least_upper_bound(inverse(X_343),inverse(greatest_lower_bound(identity,X_343)))) )],[refute_0_2297,refute_0_2298]) ).
cnf(refute_0_2300,plain,
( multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),inverse(X_343))
| inverse(greatest_lower_bound(identity,X_343)) = least_upper_bound(inverse(X_343),inverse(greatest_lower_bound(identity,X_343))) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,X_343)),least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),inverse(X_343))) )],[refute_0_2296,refute_0_2299]) ).
cnf(refute_0_2301,plain,
inverse(greatest_lower_bound(identity,X_343)) = least_upper_bound(inverse(X_343),inverse(greatest_lower_bound(identity,X_343))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_343)),identity),inverse(greatest_lower_bound(identity,X_343))),least_upper_bound(inverse(greatest_lower_bound(identity,X_343)),inverse(X_343))) )],[refute_0_2248,refute_0_2300]) ).
cnf(refute_0_2302,plain,
( inverse(greatest_lower_bound(identity,X_343)) != least_upper_bound(inverse(X_343),inverse(greatest_lower_bound(identity,X_343)))
| least_upper_bound(inverse(X_343),inverse(greatest_lower_bound(identity,X_343))) = inverse(greatest_lower_bound(identity,X_343)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(greatest_lower_bound(identity,X_343)))),bind(Y0,$fot(least_upper_bound(inverse(X_343),inverse(greatest_lower_bound(identity,X_343)))))]]) ).
cnf(refute_0_2303,plain,
least_upper_bound(inverse(X_343),inverse(greatest_lower_bound(identity,X_343))) = inverse(greatest_lower_bound(identity,X_343)),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,X_343)),least_upper_bound(inverse(X_343),inverse(greatest_lower_bound(identity,X_343)))) )],[refute_0_2301,refute_0_2302]) ).
cnf(refute_0_2304,plain,
least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(identity,X_73))) = inverse(greatest_lower_bound(identity,X_73)),
inference(subst,[],[refute_0_2303:[bind(X_343,$fot(X_73))]]) ).
cnf(refute_0_2305,plain,
multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(identity,X_211))) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))),
inference(subst,[],[refute_0_2211:[bind(X_135,$fot(greatest_lower_bound(identity,X_211))),bind(X_139,$fot(X_353))]]) ).
cnf(refute_0_2306,plain,
least_upper_bound(identity,greatest_lower_bound(X_211,identity)) = least_upper_bound(identity,greatest_lower_bound(identity,X_211)),
inference(subst,[],[refute_0_2267:[bind(X_210,$fot(identity))]]) ).
cnf(refute_0_2307,plain,
( least_upper_bound(identity,greatest_lower_bound(X_211,identity)) != least_upper_bound(identity,greatest_lower_bound(identity,X_211))
| least_upper_bound(identity,greatest_lower_bound(identity,X_211)) = least_upper_bound(identity,greatest_lower_bound(X_211,identity)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(identity,greatest_lower_bound(X_211,identity)))),bind(Y0,$fot(least_upper_bound(identity,greatest_lower_bound(identity,X_211))))]]) ).
cnf(refute_0_2308,plain,
least_upper_bound(identity,greatest_lower_bound(identity,X_211)) = least_upper_bound(identity,greatest_lower_bound(X_211,identity)),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,greatest_lower_bound(X_211,identity)),least_upper_bound(identity,greatest_lower_bound(identity,X_211))) )],[refute_0_2306,refute_0_2307]) ).
cnf(refute_0_2309,plain,
( multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(identity,X_211))) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))))
| least_upper_bound(identity,greatest_lower_bound(identity,X_211)) != least_upper_bound(identity,greatest_lower_bound(X_211,identity))
| multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(identity,X_211))),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))))) ),[0,1],$fot(least_upper_bound(identity,greatest_lower_bound(X_211,identity)))]]) ).
cnf(refute_0_2310,plain,
( multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(identity,X_211))) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))))
| multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,greatest_lower_bound(identity,X_211)),least_upper_bound(identity,greatest_lower_bound(X_211,identity))) )],[refute_0_2308,refute_0_2309]) ).
cnf(refute_0_2311,plain,
multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(identity,X_211))),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))))) )],[refute_0_2305,refute_0_2310]) ).
cnf(refute_0_2312,plain,
multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),identity) = least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),
inference(subst,[],[refute_0_573:[bind(X,$fot(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211)))))]]) ).
cnf(refute_0_2313,plain,
least_upper_bound(identity,greatest_lower_bound(X_211,identity)) = identity,
inference(subst,[],[refute_0_427:[bind(X_10,$fot(identity)),bind(X_11,$fot(X_211))]]) ).
cnf(refute_0_2314,plain,
multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))) = multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))),
introduced(tautology,[refl,[$fot(multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))))]]) ).
cnf(refute_0_2315,plain,
( multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))) != multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity)))
| least_upper_bound(identity,greatest_lower_bound(X_211,identity)) != identity
| multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))) = multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))),multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_2316,plain,
( least_upper_bound(identity,greatest_lower_bound(X_211,identity)) != identity
| multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))) = multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),identity) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))),multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity)))) )],[refute_0_2314,refute_0_2315]) ).
cnf(refute_0_2317,plain,
multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))) = multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),identity),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,greatest_lower_bound(X_211,identity)),identity) )],[refute_0_2313,refute_0_2316]) ).
cnf(refute_0_2318,plain,
( multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),identity) != least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211)))
| multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))) != multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),identity)
| multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))) = least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))))),bind(Y0,$fot(multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),identity))),bind(Z0,$fot(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211)))))]]) ).
cnf(refute_0_2319,plain,
( multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),identity) != least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211)))
| multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))) = least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))),multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),identity)) )],[refute_0_2317,refute_0_2318]) ).
cnf(refute_0_2320,plain,
multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))) = least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),identity),least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211)))) )],[refute_0_2312,refute_0_2319]) ).
cnf(refute_0_2321,plain,
( multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))) != least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211)))
| multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))))
| least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))))) ),[0],$fot(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))))]]) ).
cnf(refute_0_2322,plain,
( multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))))
| least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))),least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211)))) )],[refute_0_2320,refute_0_2321]) ).
cnf(refute_0_2323,plain,
multiply(X_353,identity) = X_353,
inference(subst,[],[refute_0_573:[bind(X,$fot(X_353))]]) ).
cnf(refute_0_2324,plain,
least_upper_bound(identity,greatest_lower_bound(identity,X_211)) = identity,
inference(subst,[],[lub_absorbtion:[bind(X,$fot(identity)),bind(Y,$fot(X_211))]]) ).
cnf(refute_0_2325,plain,
multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))) = multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))),
introduced(tautology,[refl,[$fot(multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))]]) ).
cnf(refute_0_2326,plain,
( multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))) != multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))
| least_upper_bound(identity,greatest_lower_bound(identity,X_211)) != identity
| multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))) = multiply(X_353,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_2327,plain,
( least_upper_bound(identity,greatest_lower_bound(identity,X_211)) != identity
| multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))) = multiply(X_353,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))) )],[refute_0_2325,refute_0_2326]) ).
cnf(refute_0_2328,plain,
multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))) = multiply(X_353,identity),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,greatest_lower_bound(identity,X_211)),identity) )],[refute_0_2324,refute_0_2327]) ).
cnf(refute_0_2329,plain,
( multiply(X_353,identity) != X_353
| multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))) != multiply(X_353,identity)
| multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))) = X_353 ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))),bind(Y0,$fot(multiply(X_353,identity))),bind(Z0,$fot(X_353))]]) ).
cnf(refute_0_2330,plain,
( multiply(X_353,identity) != X_353
| multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))) = X_353 ),
inference(resolve,[$cnf( $equal(multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))),multiply(X_353,identity)) )],[refute_0_2328,refute_0_2329]) ).
cnf(refute_0_2331,plain,
multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))) = X_353,
inference(resolve,[$cnf( $equal(multiply(X_353,identity),X_353) )],[refute_0_2323,refute_0_2330]) ).
cnf(refute_0_2332,plain,
least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))) = least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))),
introduced(tautology,[refl,[$fot(least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))))]]) ).
cnf(refute_0_2333,plain,
( multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))) != X_353
| least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))) != least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))
| least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))) = least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))),least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))) ),[1,1],$fot(X_353)]]) ).
cnf(refute_0_2334,plain,
( multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))) != X_353
| least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))) = least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))),least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))) )],[refute_0_2332,refute_0_2333]) ).
cnf(refute_0_2335,plain,
least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))) = least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353),
inference(resolve,[$cnf( $equal(multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))),X_353) )],[refute_0_2331,refute_0_2334]) ).
cnf(refute_0_2336,plain,
multiply(greatest_lower_bound(identity,X_78),least_upper_bound(X_130,inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(multiply(greatest_lower_bound(identity,X_78),X_130),multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78))))),
inference(subst,[],[monotony_lub1:[bind(X,$fot(greatest_lower_bound(identity,X_78))),bind(Y,$fot(X_130)),bind(Z,$fot(inverse(greatest_lower_bound(identity,inverse(X_78)))))]]) ).
cnf(refute_0_2337,plain,
X_78 = multiply(greatest_lower_bound(X_78,identity),inverse(greatest_lower_bound(identity,inverse(X_78)))),
inference(subst,[],[refute_0_961:[bind(X_75,$fot(X_78))]]) ).
cnf(refute_0_2338,plain,
greatest_lower_bound(identity,X_78) = greatest_lower_bound(X_78,identity),
inference(subst,[],[symmetry_of_glb:[bind(X,$fot(identity)),bind(Y,$fot(X_78))]]) ).
cnf(refute_0_2339,plain,
( greatest_lower_bound(identity,X_78) != greatest_lower_bound(X_78,identity)
| greatest_lower_bound(X_78,identity) = greatest_lower_bound(identity,X_78) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(identity,X_78))),bind(Y0,$fot(greatest_lower_bound(X_78,identity)))]]) ).
cnf(refute_0_2340,plain,
greatest_lower_bound(X_78,identity) = greatest_lower_bound(identity,X_78),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,X_78),greatest_lower_bound(X_78,identity)) )],[refute_0_2338,refute_0_2339]) ).
cnf(refute_0_2341,plain,
( X_78 != multiply(greatest_lower_bound(X_78,identity),inverse(greatest_lower_bound(identity,inverse(X_78))))
| greatest_lower_bound(X_78,identity) != greatest_lower_bound(identity,X_78)
| X_78 = multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_78,multiply(greatest_lower_bound(X_78,identity),inverse(greatest_lower_bound(identity,inverse(X_78))))) ),[1,0],$fot(greatest_lower_bound(identity,X_78))]]) ).
cnf(refute_0_2342,plain,
( X_78 != multiply(greatest_lower_bound(X_78,identity),inverse(greatest_lower_bound(identity,inverse(X_78))))
| X_78 = multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_78,identity),greatest_lower_bound(identity,X_78)) )],[refute_0_2340,refute_0_2341]) ).
cnf(refute_0_2343,plain,
X_78 = multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))),
inference(resolve,[$cnf( $equal(X_78,multiply(greatest_lower_bound(X_78,identity),inverse(greatest_lower_bound(identity,inverse(X_78))))) )],[refute_0_2337,refute_0_2342]) ).
cnf(refute_0_2344,plain,
( X_78 != multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78))))
| multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))) = X_78 ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(X_78)),bind(Y0,$fot(multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78))))))]]) ).
cnf(refute_0_2345,plain,
multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))) = X_78,
inference(resolve,[$cnf( $equal(X_78,multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78))))) )],[refute_0_2343,refute_0_2344]) ).
cnf(refute_0_2346,plain,
( multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))) != X_78
| multiply(greatest_lower_bound(identity,X_78),least_upper_bound(X_130,inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(multiply(greatest_lower_bound(identity,X_78),X_130),multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))))
| multiply(greatest_lower_bound(identity,X_78),least_upper_bound(X_130,inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(multiply(greatest_lower_bound(identity,X_78),X_130),X_78) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(X_130,inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(multiply(greatest_lower_bound(identity,X_78),X_130),multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))))) ),[1,1],$fot(X_78)]]) ).
cnf(refute_0_2347,plain,
( multiply(greatest_lower_bound(identity,X_78),least_upper_bound(X_130,inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(multiply(greatest_lower_bound(identity,X_78),X_130),multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))))
| multiply(greatest_lower_bound(identity,X_78),least_upper_bound(X_130,inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(multiply(greatest_lower_bound(identity,X_78),X_130),X_78) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))),X_78) )],[refute_0_2345,refute_0_2346]) ).
cnf(refute_0_2348,plain,
multiply(greatest_lower_bound(identity,X_78),least_upper_bound(X_130,inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(multiply(greatest_lower_bound(identity,X_78),X_130),X_78),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(X_130,inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(multiply(greatest_lower_bound(identity,X_78),X_130),multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))))) )],[refute_0_2336,refute_0_2347]) ).
cnf(refute_0_2349,plain,
least_upper_bound(multiply(greatest_lower_bound(identity,X_78),X_130),X_78) = least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),X_130)),
inference(subst,[],[refute_0_404:[bind(X,$fot(X_78)),bind(Y,$fot(multiply(greatest_lower_bound(identity,X_78),X_130)))]]) ).
cnf(refute_0_2350,plain,
( multiply(greatest_lower_bound(identity,X_78),least_upper_bound(X_130,inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(multiply(greatest_lower_bound(identity,X_78),X_130),X_78)
| least_upper_bound(multiply(greatest_lower_bound(identity,X_78),X_130),X_78) != least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),X_130))
| multiply(greatest_lower_bound(identity,X_78),least_upper_bound(X_130,inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),X_130)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(X_130,inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),X_130))) ),[0],$fot(least_upper_bound(multiply(greatest_lower_bound(identity,X_78),X_130),X_78))]]) ).
cnf(refute_0_2351,plain,
( multiply(greatest_lower_bound(identity,X_78),least_upper_bound(X_130,inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(multiply(greatest_lower_bound(identity,X_78),X_130),X_78)
| multiply(greatest_lower_bound(identity,X_78),least_upper_bound(X_130,inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),X_130)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(greatest_lower_bound(identity,X_78),X_130),X_78),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),X_130))) )],[refute_0_2349,refute_0_2350]) ).
cnf(refute_0_2352,plain,
multiply(greatest_lower_bound(identity,X_78),least_upper_bound(X_130,inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),X_130)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(X_130,inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(multiply(greatest_lower_bound(identity,X_78),X_130),X_78)) )],[refute_0_2348,refute_0_2351]) ).
cnf(refute_0_2353,plain,
multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))) = least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)),
inference(subst,[],[refute_0_2352:[bind(X_130,$fot(X_315)),bind(X_78,$fot(inverse(greatest_lower_bound(X_218,inverse(identity)))))]]) ).
cnf(refute_0_2354,plain,
( multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))) != least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))
| greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))) != identity
| multiply(identity,least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))) = least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))),least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_2355,plain,
( multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))) != least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))
| multiply(identity,least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))) = least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),identity) )],[refute_0_1153,refute_0_2354]) ).
cnf(refute_0_2356,plain,
multiply(identity,least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))) = least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))),least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))) )],[refute_0_2353,refute_0_2355]) ).
cnf(refute_0_2357,plain,
inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))),
introduced(tautology,[refl,[$fot(inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))]]) ).
cnf(refute_0_2358,plain,
( greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))) != greatest_lower_bound(identity,X_218)
| inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) != inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))
| inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = inverse(greatest_lower_bound(identity,X_218)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))),inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))) ),[1,0],$fot(greatest_lower_bound(identity,X_218))]]) ).
cnf(refute_0_2359,plain,
( greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))) != greatest_lower_bound(identity,X_218)
| inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = inverse(greatest_lower_bound(identity,X_218)) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))),inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))) )],[refute_0_2357,refute_0_2358]) ).
cnf(refute_0_2360,plain,
inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) = inverse(greatest_lower_bound(identity,X_218)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))),greatest_lower_bound(identity,X_218)) )],[refute_0_1198,refute_0_2359]) ).
cnf(refute_0_2361,plain,
least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))) = least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))),
introduced(tautology,[refl,[$fot(least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))))]]) ).
cnf(refute_0_2362,plain,
( inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) != inverse(greatest_lower_bound(identity,X_218))
| least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))) != least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))
| least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))) = least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))),least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))) ),[1,1],$fot(inverse(greatest_lower_bound(identity,X_218)))]]) ).
cnf(refute_0_2363,plain,
( inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))) != inverse(greatest_lower_bound(identity,X_218))
| least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))) = least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))),least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))) )],[refute_0_2361,refute_0_2362]) ).
cnf(refute_0_2364,plain,
least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))) = least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218))),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))),inverse(greatest_lower_bound(identity,X_218))) )],[refute_0_2360,refute_0_2363]) ).
cnf(refute_0_2365,plain,
multiply(identity,least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))) = least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))),
inference(subst,[],[left_identity:[bind(X,$fot(least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))))]]) ).
cnf(refute_0_2366,plain,
( multiply(identity,least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))) != least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))
| least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))) != least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218)))
| multiply(identity,least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))) = least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(identity,least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))))),bind(Y0,$fot(least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))))),bind(Z0,$fot(least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218)))))]]) ).
cnf(refute_0_2367,plain,
( least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))) != least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218)))
| multiply(identity,least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))) = least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218))) ),
inference(resolve,[$cnf( $equal(multiply(identity,least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))),least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))) )],[refute_0_2365,refute_0_2366]) ).
cnf(refute_0_2368,plain,
multiply(identity,least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))) = least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity))))))),least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218)))) )],[refute_0_2364,refute_0_2367]) ).
cnf(refute_0_2369,plain,
( multiply(identity,least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))) != least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218)))
| multiply(identity,least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))) != least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))
| least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218))) = least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))),least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))) ),[0],$fot(least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218))))]]) ).
cnf(refute_0_2370,plain,
( multiply(identity,least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))) != least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))
| least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218))) = least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) ),
inference(resolve,[$cnf( $equal(multiply(identity,least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))),least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218)))) )],[refute_0_2368,refute_0_2369]) ).
cnf(refute_0_2371,plain,
multiply(identity,X_315) = X_315,
inference(subst,[],[left_identity:[bind(X,$fot(X_315))]]) ).
cnf(refute_0_2372,plain,
multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315) = multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315),
introduced(tautology,[refl,[$fot(multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))]]) ).
cnf(refute_0_2373,plain,
( multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315) != multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)
| greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))) != identity
| multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315) = multiply(identity,X_315) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_2374,plain,
( greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))) != identity
| multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315) = multiply(identity,X_315) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) )],[refute_0_2372,refute_0_2373]) ).
cnf(refute_0_2375,plain,
multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315) = multiply(identity,X_315),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),identity) )],[refute_0_1153,refute_0_2374]) ).
cnf(refute_0_2376,plain,
( multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315) != multiply(identity,X_315)
| multiply(identity,X_315) != X_315
| multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315) = X_315 ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))),bind(Y0,$fot(multiply(identity,X_315))),bind(Z0,$fot(X_315))]]) ).
cnf(refute_0_2377,plain,
( multiply(identity,X_315) != X_315
| multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315) = X_315 ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315),multiply(identity,X_315)) )],[refute_0_2375,refute_0_2376]) ).
cnf(refute_0_2378,plain,
multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315) = X_315,
inference(resolve,[$cnf( $equal(multiply(identity,X_315),X_315) )],[refute_0_2371,refute_0_2377]) ).
cnf(refute_0_2379,plain,
least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) = least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)),
introduced(tautology,[refl,[$fot(least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)))]]) ).
cnf(refute_0_2380,plain,
( multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315) != X_315
| least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) != least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))
| least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) = least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),X_315) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)),least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))) ),[1,1],$fot(X_315)]]) ).
cnf(refute_0_2381,plain,
( multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315) != X_315
| least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) = least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),X_315) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)),least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))) )],[refute_0_2379,refute_0_2380]) ).
cnf(refute_0_2382,plain,
least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) = least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),X_315),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315),X_315) )],[refute_0_2378,refute_0_2381]) ).
cnf(refute_0_2383,plain,
inverse(greatest_lower_bound(X_218,inverse(identity))) = inverse(greatest_lower_bound(X_218,inverse(identity))),
introduced(tautology,[refl,[$fot(inverse(greatest_lower_bound(X_218,inverse(identity))))]]) ).
cnf(refute_0_2384,plain,
( greatest_lower_bound(X_218,inverse(identity)) != greatest_lower_bound(X_218,identity)
| inverse(greatest_lower_bound(X_218,inverse(identity))) != inverse(greatest_lower_bound(X_218,inverse(identity)))
| inverse(greatest_lower_bound(X_218,inverse(identity))) = inverse(greatest_lower_bound(X_218,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(X_218,inverse(identity))),inverse(greatest_lower_bound(X_218,inverse(identity)))) ),[1,0],$fot(greatest_lower_bound(X_218,identity))]]) ).
cnf(refute_0_2385,plain,
( greatest_lower_bound(X_218,inverse(identity)) != greatest_lower_bound(X_218,identity)
| inverse(greatest_lower_bound(X_218,inverse(identity))) = inverse(greatest_lower_bound(X_218,identity)) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_218,inverse(identity))),inverse(greatest_lower_bound(X_218,inverse(identity)))) )],[refute_0_2383,refute_0_2384]) ).
cnf(refute_0_2386,plain,
inverse(greatest_lower_bound(X_218,inverse(identity))) = inverse(greatest_lower_bound(X_218,identity)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_218,inverse(identity)),greatest_lower_bound(X_218,identity)) )],[refute_0_1161,refute_0_2385]) ).
cnf(refute_0_2387,plain,
least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) = least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)),
introduced(tautology,[refl,[$fot(least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)))]]) ).
cnf(refute_0_2388,plain,
( inverse(greatest_lower_bound(X_218,inverse(identity))) != inverse(greatest_lower_bound(X_218,identity))
| least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) != least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))
| least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) = least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)),least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))) ),[1,0],$fot(inverse(greatest_lower_bound(X_218,identity)))]]) ).
cnf(refute_0_2389,plain,
( inverse(greatest_lower_bound(X_218,inverse(identity))) != inverse(greatest_lower_bound(X_218,identity))
| least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) = least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)),least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))) )],[refute_0_2387,refute_0_2388]) ).
cnf(refute_0_2390,plain,
least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) = least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_218,inverse(identity))),inverse(greatest_lower_bound(X_218,identity))) )],[refute_0_2386,refute_0_2389]) ).
cnf(refute_0_2391,plain,
( least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) != least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),X_315)
| least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) != least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))
| least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) = least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),X_315) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)))),bind(Y0,$fot(least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)))),bind(Z0,$fot(least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),X_315)))]]) ).
cnf(refute_0_2392,plain,
( least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) != least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),X_315)
| least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) = least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),X_315) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)),least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))) )],[refute_0_2390,refute_0_2391]) ).
cnf(refute_0_2393,plain,
least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) = least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),X_315),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)),least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),X_315)) )],[refute_0_2382,refute_0_2392]) ).
cnf(refute_0_2394,plain,
( least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218))) != least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))
| least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)) != least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),X_315)
| least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218))) = least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),X_315) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218))),least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),X_315)) ),[0],$fot(least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)))]]) ).
cnf(refute_0_2395,plain,
( least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218))) != least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))
| least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218))) = least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),X_315) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315)),least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),X_315)) )],[refute_0_2393,refute_0_2394]) ).
cnf(refute_0_2396,plain,
( multiply(identity,least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))) != least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))
| least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218))) = least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),X_315) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218))),least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))) )],[refute_0_2370,refute_0_2395]) ).
cnf(refute_0_2397,plain,
least_upper_bound(X_315,inverse(greatest_lower_bound(identity,X_218))) = least_upper_bound(inverse(greatest_lower_bound(X_218,identity)),X_315),
inference(resolve,[$cnf( $equal(multiply(identity,least_upper_bound(X_315,inverse(greatest_lower_bound(identity,inverse(inverse(greatest_lower_bound(X_218,inverse(identity)))))))),least_upper_bound(inverse(greatest_lower_bound(X_218,inverse(identity))),multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_218,inverse(identity)))),X_315))) )],[refute_0_2356,refute_0_2396]) ).
cnf(refute_0_2398,plain,
least_upper_bound(multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))),inverse(greatest_lower_bound(identity,X_211))) = least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))),
inference(subst,[],[refute_0_2397:[bind(X_218,$fot(X_211)),bind(X_315,$fot(multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))))]]) ).
cnf(refute_0_2399,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(identity,X_15)) = least_upper_bound(X_15,least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_239)))),
inference(subst,[],[refute_0_1123:[bind(X_46,$fot(inverse(greatest_lower_bound(identity,X_239)))),bind(X_47,$fot(identity))]]) ).
cnf(refute_0_2400,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,X_82)),greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_82)))) = inverse(greatest_lower_bound(identity,X_82)),
inference(subst,[],[refute_0_427:[bind(X_10,$fot(inverse(greatest_lower_bound(identity,X_82)))),bind(X_11,$fot(identity))]]) ).
cnf(refute_0_2401,plain,
identity = greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_82))),
inference(subst,[],[refute_0_818:[bind(X_30,$fot(X_82))]]) ).
cnf(refute_0_2402,plain,
( identity != greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_82)))
| greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_82))) = identity ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(identity)),bind(Y0,$fot(greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_82)))))]]) ).
cnf(refute_0_2403,plain,
greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_82))) = identity,
inference(resolve,[$cnf( $equal(identity,greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_82)))) )],[refute_0_2401,refute_0_2402]) ).
cnf(refute_0_2404,plain,
( greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_82))) != identity
| least_upper_bound(inverse(greatest_lower_bound(identity,X_82)),greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_82)))) != inverse(greatest_lower_bound(identity,X_82))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_82)),identity) = inverse(greatest_lower_bound(identity,X_82)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_82)),greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_82)))),inverse(greatest_lower_bound(identity,X_82))) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_2405,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,X_82)),greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_82)))) != inverse(greatest_lower_bound(identity,X_82))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_82)),identity) = inverse(greatest_lower_bound(identity,X_82)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_82))),identity) )],[refute_0_2403,refute_0_2404]) ).
cnf(refute_0_2406,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,X_82)),identity) = inverse(greatest_lower_bound(identity,X_82)),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_82)),greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X_82)))),inverse(greatest_lower_bound(identity,X_82))) )],[refute_0_2400,refute_0_2405]) ).
cnf(refute_0_2407,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,X_82)),identity) = least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_82))),
inference(subst,[],[refute_0_404:[bind(X,$fot(identity)),bind(Y,$fot(inverse(greatest_lower_bound(identity,X_82))))]]) ).
cnf(refute_0_2408,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,X_82)),identity) != inverse(greatest_lower_bound(identity,X_82))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_82)),identity) != least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_82)))
| least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_82))) = inverse(greatest_lower_bound(identity,X_82)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_82)),identity),inverse(greatest_lower_bound(identity,X_82))) ),[0],$fot(least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_82))))]]) ).
cnf(refute_0_2409,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,X_82)),identity) != inverse(greatest_lower_bound(identity,X_82))
| least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_82))) = inverse(greatest_lower_bound(identity,X_82)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_82)),identity),least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_82)))) )],[refute_0_2407,refute_0_2408]) ).
cnf(refute_0_2410,plain,
least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_82))) = inverse(greatest_lower_bound(identity,X_82)),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_82)),identity),inverse(greatest_lower_bound(identity,X_82))) )],[refute_0_2406,refute_0_2409]) ).
cnf(refute_0_2411,plain,
least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_239))) = inverse(greatest_lower_bound(identity,X_239)),
inference(subst,[],[refute_0_2410:[bind(X_82,$fot(X_239))]]) ).
cnf(refute_0_2412,plain,
( least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_239))) != inverse(greatest_lower_bound(identity,X_239))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(identity,X_15)) != least_upper_bound(X_15,least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_239))))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(identity,X_15)) = least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_239))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(identity,X_15)),least_upper_bound(X_15,least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_239))))) ),[1,1],$fot(inverse(greatest_lower_bound(identity,X_239)))]]) ).
cnf(refute_0_2413,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(identity,X_15)) != least_upper_bound(X_15,least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_239))))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(identity,X_15)) = least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_239))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_239))),inverse(greatest_lower_bound(identity,X_239))) )],[refute_0_2411,refute_0_2412]) ).
cnf(refute_0_2414,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(identity,X_15)) = least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_239))),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(identity,X_15)),least_upper_bound(X_15,least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_239))))) )],[refute_0_2399,refute_0_2413]) ).
cnf(refute_0_2415,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(identity,X_15)) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_15)),
inference(subst,[],[refute_0_2197:[bind(X_47,$fot(inverse(greatest_lower_bound(identity,X_239)))),bind(X_48,$fot(identity))]]) ).
cnf(refute_0_2416,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(identity,X_15)) != least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_239)))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(identity,X_15)) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_15))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_15)) = least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_239))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(identity,X_15)),least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_239)))) ),[0],$fot(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_15)))]]) ).
cnf(refute_0_2417,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(identity,X_15)) != least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_239)))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_15)) = least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_239))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(identity,X_15)),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_15))) )],[refute_0_2415,refute_0_2416]) ).
cnf(refute_0_2418,plain,
least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_15)) = least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_239))),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(identity,X_15)),least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_239)))) )],[refute_0_2414,refute_0_2417]) ).
cnf(refute_0_2419,plain,
least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))) = least_upper_bound(multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))),inverse(greatest_lower_bound(identity,X_211))),
inference(subst,[],[refute_0_2418:[bind(X_15,$fot(multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))),bind(X_239,$fot(X_211))]]) ).
cnf(refute_0_2420,plain,
( least_upper_bound(multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))),inverse(greatest_lower_bound(identity,X_211))) != least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))) != least_upper_bound(multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))),inverse(greatest_lower_bound(identity,X_211)))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))) = least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))))),bind(Y0,$fot(least_upper_bound(multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))),inverse(greatest_lower_bound(identity,X_211))))),bind(Z0,$fot(least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))))]]) ).
cnf(refute_0_2421,plain,
( least_upper_bound(multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))),inverse(greatest_lower_bound(identity,X_211))) != least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))) = least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))),least_upper_bound(multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))),inverse(greatest_lower_bound(identity,X_211)))) )],[refute_0_2419,refute_0_2420]) ).
cnf(refute_0_2422,plain,
least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))) = least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))),inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))) )],[refute_0_2398,refute_0_2421]) ).
cnf(refute_0_2423,plain,
( least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))) != least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))
| least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))) != least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353)
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))) = least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))))),bind(Y0,$fot(least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))))),bind(Z0,$fot(least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353)))]]) ).
cnf(refute_0_2424,plain,
( least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))) != least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353)
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))) = least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))),least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))) )],[refute_0_2422,refute_0_2423]) ).
cnf(refute_0_2425,plain,
least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))) = least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))),least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353)) )],[refute_0_2335,refute_0_2424]) ).
cnf(refute_0_2426,plain,
( least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))) != least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353)
| least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))) = least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353)) ),[0],$fot(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))))]]) ).
cnf(refute_0_2427,plain,
( least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))))
| least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))) = least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211))))),least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353)) )],[refute_0_2425,refute_0_2426]) ).
cnf(refute_0_2428,plain,
( multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))))
| least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))) = least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))))) )],[refute_0_2322,refute_0_2427]) ).
cnf(refute_0_2429,plain,
least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))) = least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(identity,greatest_lower_bound(X_211,identity))),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(identity,X_211)),multiply(X_353,least_upper_bound(identity,greatest_lower_bound(identity,X_211)))))) )],[refute_0_2311,refute_0_2428]) ).
cnf(refute_0_2430,plain,
( least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))) != least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353)
| least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353) = least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))))),bind(Y0,$fot(least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353)))]]) ).
cnf(refute_0_2431,plain,
least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353) = least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_353,inverse(greatest_lower_bound(identity,X_211))),least_upper_bound(inverse(greatest_lower_bound(X_211,identity)),X_353)) )],[refute_0_2429,refute_0_2430]) ).
cnf(refute_0_2432,plain,
least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),inverse(X_73)) = least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(identity,X_73))),
inference(subst,[],[refute_0_2431:[bind(X_211,$fot(X_73)),bind(X_353,$fot(inverse(X_73)))]]) ).
cnf(refute_0_2433,plain,
( least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(identity,X_73))) != inverse(greatest_lower_bound(identity,X_73))
| least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),inverse(X_73)) != least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(identity,X_73)))
| least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),inverse(X_73)) = inverse(greatest_lower_bound(identity,X_73)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),inverse(X_73)))),bind(Y0,$fot(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(identity,X_73))))),bind(Z0,$fot(inverse(greatest_lower_bound(identity,X_73))))]]) ).
cnf(refute_0_2434,plain,
( least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(identity,X_73))) != inverse(greatest_lower_bound(identity,X_73))
| least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),inverse(X_73)) = inverse(greatest_lower_bound(identity,X_73)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),inverse(X_73)),least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(identity,X_73)))) )],[refute_0_2432,refute_0_2433]) ).
cnf(refute_0_2435,plain,
least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),inverse(X_73)) = inverse(greatest_lower_bound(identity,X_73)),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(identity,X_73))),inverse(greatest_lower_bound(identity,X_73))) )],[refute_0_2304,refute_0_2434]) ).
cnf(refute_0_2436,plain,
least_upper_bound(identity,greatest_lower_bound(identity,X_73)) = identity,
inference(subst,[],[lub_absorbtion:[bind(X,$fot(identity)),bind(Y,$fot(X_73))]]) ).
cnf(refute_0_2437,plain,
multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))) = multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))]]) ).
cnf(refute_0_2438,plain,
( multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))) != multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))
| least_upper_bound(identity,greatest_lower_bound(identity,X_73)) != identity
| multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))) = multiply(inverse(X_73),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_2439,plain,
( least_upper_bound(identity,greatest_lower_bound(identity,X_73)) != identity
| multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))) = multiply(inverse(X_73),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))) )],[refute_0_2437,refute_0_2438]) ).
cnf(refute_0_2440,plain,
multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))) = multiply(inverse(X_73),identity),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,greatest_lower_bound(identity,X_73)),identity) )],[refute_0_2436,refute_0_2439]) ).
cnf(refute_0_2441,plain,
( multiply(inverse(X_73),identity) != inverse(X_73)
| multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))) != multiply(inverse(X_73),identity)
| multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))) = inverse(X_73) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))),bind(Y0,$fot(multiply(inverse(X_73),identity))),bind(Z0,$fot(inverse(X_73)))]]) ).
cnf(refute_0_2442,plain,
( multiply(inverse(X_73),identity) != inverse(X_73)
| multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))) = inverse(X_73) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))),multiply(inverse(X_73),identity)) )],[refute_0_2440,refute_0_2441]) ).
cnf(refute_0_2443,plain,
multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))) = inverse(X_73),
inference(resolve,[$cnf( $equal(multiply(inverse(X_73),identity),inverse(X_73)) )],[refute_0_45,refute_0_2442]) ).
cnf(refute_0_2444,plain,
least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))) = least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))),
introduced(tautology,[refl,[$fot(least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))))]]) ).
cnf(refute_0_2445,plain,
( multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))) != inverse(X_73)
| least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))) != least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))
| least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))) = least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),inverse(X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))),least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))) ),[1,1],$fot(inverse(X_73))]]) ).
cnf(refute_0_2446,plain,
( multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))) != inverse(X_73)
| least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))) = least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),inverse(X_73)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))),least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))) )],[refute_0_2444,refute_0_2445]) ).
cnf(refute_0_2447,plain,
least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))) = least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),inverse(X_73)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))),inverse(X_73)) )],[refute_0_2443,refute_0_2446]) ).
cnf(refute_0_2448,plain,
( least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))) != least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),inverse(X_73))
| least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),inverse(X_73)) != inverse(greatest_lower_bound(identity,X_73))
| least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))) = inverse(greatest_lower_bound(identity,X_73)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))))),bind(Y0,$fot(least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),inverse(X_73)))),bind(Z0,$fot(inverse(greatest_lower_bound(identity,X_73))))]]) ).
cnf(refute_0_2449,plain,
( least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),inverse(X_73)) != inverse(greatest_lower_bound(identity,X_73))
| least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))) = inverse(greatest_lower_bound(identity,X_73)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))),least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),inverse(X_73))) )],[refute_0_2447,refute_0_2448]) ).
cnf(refute_0_2450,plain,
least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))) = inverse(greatest_lower_bound(identity,X_73)),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),inverse(X_73)),inverse(greatest_lower_bound(identity,X_73))) )],[refute_0_2435,refute_0_2449]) ).
cnf(refute_0_2451,plain,
least_upper_bound(multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))),inverse(greatest_lower_bound(X_73,identity))) = least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))),
inference(subst,[],[refute_0_404:[bind(X,$fot(inverse(greatest_lower_bound(X_73,identity)))),bind(Y,$fot(multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))))]]) ).
cnf(refute_0_2452,plain,
least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(identity,X_15)) = least_upper_bound(X_15,least_upper_bound(identity,inverse(greatest_lower_bound(X_240,identity)))),
inference(subst,[],[refute_0_1123:[bind(X_46,$fot(inverse(greatest_lower_bound(X_240,identity)))),bind(X_47,$fot(identity))]]) ).
cnf(refute_0_2453,plain,
least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(identity,inverse(greatest_lower_bound(X_83,identity)))) = inverse(greatest_lower_bound(X_83,identity)),
inference(subst,[],[refute_0_427:[bind(X_10,$fot(inverse(greatest_lower_bound(X_83,identity)))),bind(X_11,$fot(identity))]]) ).
cnf(refute_0_2454,plain,
multiply(inverse(greatest_lower_bound(Y,identity)),greatest_lower_bound(identity,greatest_lower_bound(Y,identity))) = greatest_lower_bound(identity,inverse(greatest_lower_bound(Y,identity))),
inference(subst,[],[refute_0_55:[bind(X_75,$fot(greatest_lower_bound(Y,identity)))]]) ).
cnf(refute_0_2455,plain,
greatest_lower_bound(identity,greatest_lower_bound(Y,identity)) = greatest_lower_bound(identity,Y),
inference(subst,[],[refute_0_765:[bind(X_19,$fot(identity))]]) ).
cnf(refute_0_2456,plain,
( multiply(inverse(greatest_lower_bound(Y,identity)),greatest_lower_bound(identity,greatest_lower_bound(Y,identity))) != greatest_lower_bound(identity,inverse(greatest_lower_bound(Y,identity)))
| greatest_lower_bound(identity,greatest_lower_bound(Y,identity)) != greatest_lower_bound(identity,Y)
| multiply(inverse(greatest_lower_bound(Y,identity)),greatest_lower_bound(identity,Y)) = greatest_lower_bound(identity,inverse(greatest_lower_bound(Y,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(greatest_lower_bound(Y,identity)),greatest_lower_bound(identity,greatest_lower_bound(Y,identity))),greatest_lower_bound(identity,inverse(greatest_lower_bound(Y,identity)))) ),[0,1],$fot(greatest_lower_bound(identity,Y))]]) ).
cnf(refute_0_2457,plain,
( multiply(inverse(greatest_lower_bound(Y,identity)),greatest_lower_bound(identity,greatest_lower_bound(Y,identity))) != greatest_lower_bound(identity,inverse(greatest_lower_bound(Y,identity)))
| multiply(inverse(greatest_lower_bound(Y,identity)),greatest_lower_bound(identity,Y)) = greatest_lower_bound(identity,inverse(greatest_lower_bound(Y,identity))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(Y,identity)),greatest_lower_bound(identity,Y)) )],[refute_0_2455,refute_0_2456]) ).
cnf(refute_0_2458,plain,
multiply(inverse(greatest_lower_bound(Y,identity)),greatest_lower_bound(identity,Y)) = greatest_lower_bound(identity,inverse(greatest_lower_bound(Y,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(Y,identity)),greatest_lower_bound(identity,greatest_lower_bound(Y,identity))),greatest_lower_bound(identity,inverse(greatest_lower_bound(Y,identity)))) )],[refute_0_2454,refute_0_2457]) ).
cnf(refute_0_2459,plain,
multiply(inverse(greatest_lower_bound(Y,identity)),greatest_lower_bound(identity,Y)) = identity,
inference(subst,[],[refute_0_152:[bind(X_76,$fot(identity)),bind(X_77,$fot(Y))]]) ).
cnf(refute_0_2460,plain,
( multiply(inverse(greatest_lower_bound(Y,identity)),greatest_lower_bound(identity,Y)) != greatest_lower_bound(identity,inverse(greatest_lower_bound(Y,identity)))
| multiply(inverse(greatest_lower_bound(Y,identity)),greatest_lower_bound(identity,Y)) != identity
| identity = greatest_lower_bound(identity,inverse(greatest_lower_bound(Y,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(greatest_lower_bound(Y,identity)),greatest_lower_bound(identity,Y)),greatest_lower_bound(identity,inverse(greatest_lower_bound(Y,identity)))) ),[0],$fot(identity)]]) ).
cnf(refute_0_2461,plain,
( multiply(inverse(greatest_lower_bound(Y,identity)),greatest_lower_bound(identity,Y)) != greatest_lower_bound(identity,inverse(greatest_lower_bound(Y,identity)))
| identity = greatest_lower_bound(identity,inverse(greatest_lower_bound(Y,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(Y,identity)),greatest_lower_bound(identity,Y)),identity) )],[refute_0_2459,refute_0_2460]) ).
cnf(refute_0_2462,plain,
identity = greatest_lower_bound(identity,inverse(greatest_lower_bound(Y,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(Y,identity)),greatest_lower_bound(identity,Y)),greatest_lower_bound(identity,inverse(greatest_lower_bound(Y,identity)))) )],[refute_0_2458,refute_0_2461]) ).
cnf(refute_0_2463,plain,
identity = greatest_lower_bound(identity,inverse(greatest_lower_bound(X_83,identity))),
inference(subst,[],[refute_0_2462:[bind(Y,$fot(X_83))]]) ).
cnf(refute_0_2464,plain,
( identity != greatest_lower_bound(identity,inverse(greatest_lower_bound(X_83,identity)))
| greatest_lower_bound(identity,inverse(greatest_lower_bound(X_83,identity))) = identity ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(identity)),bind(Y0,$fot(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_83,identity)))))]]) ).
cnf(refute_0_2465,plain,
greatest_lower_bound(identity,inverse(greatest_lower_bound(X_83,identity))) = identity,
inference(resolve,[$cnf( $equal(identity,greatest_lower_bound(identity,inverse(greatest_lower_bound(X_83,identity)))) )],[refute_0_2463,refute_0_2464]) ).
cnf(refute_0_2466,plain,
( greatest_lower_bound(identity,inverse(greatest_lower_bound(X_83,identity))) != identity
| least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(identity,inverse(greatest_lower_bound(X_83,identity)))) != inverse(greatest_lower_bound(X_83,identity))
| least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),identity) = inverse(greatest_lower_bound(X_83,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(identity,inverse(greatest_lower_bound(X_83,identity)))),inverse(greatest_lower_bound(X_83,identity))) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_2467,plain,
( least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(identity,inverse(greatest_lower_bound(X_83,identity)))) != inverse(greatest_lower_bound(X_83,identity))
| least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),identity) = inverse(greatest_lower_bound(X_83,identity)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(greatest_lower_bound(X_83,identity))),identity) )],[refute_0_2465,refute_0_2466]) ).
cnf(refute_0_2468,plain,
least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),identity) = inverse(greatest_lower_bound(X_83,identity)),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(identity,inverse(greatest_lower_bound(X_83,identity)))),inverse(greatest_lower_bound(X_83,identity))) )],[refute_0_2453,refute_0_2467]) ).
cnf(refute_0_2469,plain,
least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),identity) = least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity))),
inference(subst,[],[refute_0_404:[bind(X,$fot(identity)),bind(Y,$fot(inverse(greatest_lower_bound(X_83,identity))))]]) ).
cnf(refute_0_2470,plain,
( least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),identity) != inverse(greatest_lower_bound(X_83,identity))
| least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),identity) != least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity)))
| least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity))) = inverse(greatest_lower_bound(X_83,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),identity),inverse(greatest_lower_bound(X_83,identity))) ),[0],$fot(least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity))))]]) ).
cnf(refute_0_2471,plain,
( least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),identity) != inverse(greatest_lower_bound(X_83,identity))
| least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity))) = inverse(greatest_lower_bound(X_83,identity)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),identity),least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity)))) )],[refute_0_2469,refute_0_2470]) ).
cnf(refute_0_2472,plain,
least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity))) = inverse(greatest_lower_bound(X_83,identity)),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),identity),inverse(greatest_lower_bound(X_83,identity))) )],[refute_0_2468,refute_0_2471]) ).
cnf(refute_0_2473,plain,
least_upper_bound(identity,inverse(greatest_lower_bound(X_240,identity))) = inverse(greatest_lower_bound(X_240,identity)),
inference(subst,[],[refute_0_2472:[bind(X_83,$fot(X_240))]]) ).
cnf(refute_0_2474,plain,
( least_upper_bound(identity,inverse(greatest_lower_bound(X_240,identity))) != inverse(greatest_lower_bound(X_240,identity))
| least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(identity,X_15)) != least_upper_bound(X_15,least_upper_bound(identity,inverse(greatest_lower_bound(X_240,identity))))
| least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(identity,X_15)) = least_upper_bound(X_15,inverse(greatest_lower_bound(X_240,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(identity,X_15)),least_upper_bound(X_15,least_upper_bound(identity,inverse(greatest_lower_bound(X_240,identity))))) ),[1,1],$fot(inverse(greatest_lower_bound(X_240,identity)))]]) ).
cnf(refute_0_2475,plain,
( least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(identity,X_15)) != least_upper_bound(X_15,least_upper_bound(identity,inverse(greatest_lower_bound(X_240,identity))))
| least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(identity,X_15)) = least_upper_bound(X_15,inverse(greatest_lower_bound(X_240,identity))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,inverse(greatest_lower_bound(X_240,identity))),inverse(greatest_lower_bound(X_240,identity))) )],[refute_0_2473,refute_0_2474]) ).
cnf(refute_0_2476,plain,
least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(identity,X_15)) = least_upper_bound(X_15,inverse(greatest_lower_bound(X_240,identity))),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(identity,X_15)),least_upper_bound(X_15,least_upper_bound(identity,inverse(greatest_lower_bound(X_240,identity))))) )],[refute_0_2452,refute_0_2475]) ).
cnf(refute_0_2477,plain,
least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(identity,X_15)) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_15)),
inference(subst,[],[refute_0_2197:[bind(X_47,$fot(inverse(greatest_lower_bound(X_240,identity)))),bind(X_48,$fot(identity))]]) ).
cnf(refute_0_2478,plain,
( least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(identity,X_15)) != least_upper_bound(X_15,inverse(greatest_lower_bound(X_240,identity)))
| least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(identity,X_15)) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_15))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_15)) = least_upper_bound(X_15,inverse(greatest_lower_bound(X_240,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(identity,X_15)),least_upper_bound(X_15,inverse(greatest_lower_bound(X_240,identity)))) ),[0],$fot(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_15)))]]) ).
cnf(refute_0_2479,plain,
( least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(identity,X_15)) != least_upper_bound(X_15,inverse(greatest_lower_bound(X_240,identity)))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_15)) = least_upper_bound(X_15,inverse(greatest_lower_bound(X_240,identity))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(identity,X_15)),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_15))) )],[refute_0_2477,refute_0_2478]) ).
cnf(refute_0_2480,plain,
least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_15)) = least_upper_bound(X_15,inverse(greatest_lower_bound(X_240,identity))),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(identity,X_15)),least_upper_bound(X_15,inverse(greatest_lower_bound(X_240,identity)))) )],[refute_0_2476,refute_0_2479]) ).
cnf(refute_0_2481,plain,
least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))) = least_upper_bound(multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))),inverse(greatest_lower_bound(X_73,identity))),
inference(subst,[],[refute_0_2480:[bind(X_15,$fot(multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))),bind(X_240,$fot(X_73))]]) ).
cnf(refute_0_2482,plain,
( least_upper_bound(multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))),inverse(greatest_lower_bound(X_73,identity))) != least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))) != least_upper_bound(multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))),inverse(greatest_lower_bound(X_73,identity)))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))) = least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))))),bind(Y0,$fot(least_upper_bound(multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))),inverse(greatest_lower_bound(X_73,identity))))),bind(Z0,$fot(least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))))]]) ).
cnf(refute_0_2483,plain,
( least_upper_bound(multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))),inverse(greatest_lower_bound(X_73,identity))) != least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))) = least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))),least_upper_bound(multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))),inverse(greatest_lower_bound(X_73,identity)))) )],[refute_0_2481,refute_0_2482]) ).
cnf(refute_0_2484,plain,
least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))) = least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))) )],[refute_0_2451,refute_0_2483]) ).
cnf(refute_0_2485,plain,
( least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))) != least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))
| least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))) != inverse(greatest_lower_bound(identity,X_73))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))) = inverse(greatest_lower_bound(identity,X_73)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))))),bind(Y0,$fot(least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))))),bind(Z0,$fot(inverse(greatest_lower_bound(identity,X_73))))]]) ).
cnf(refute_0_2486,plain,
( least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))) != inverse(greatest_lower_bound(identity,X_73))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))) = inverse(greatest_lower_bound(identity,X_73)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))),least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))) )],[refute_0_2484,refute_0_2485]) ).
cnf(refute_0_2487,plain,
least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))) = inverse(greatest_lower_bound(identity,X_73)),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))),inverse(greatest_lower_bound(identity,X_73))) )],[refute_0_2450,refute_0_2486]) ).
cnf(refute_0_2488,plain,
( least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))) != inverse(greatest_lower_bound(identity,X_73))
| least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))))
| least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))) = inverse(greatest_lower_bound(identity,X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))))) ),[1],$fot(inverse(greatest_lower_bound(identity,X_73)))]]) ).
cnf(refute_0_2489,plain,
( least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))))
| least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))) = inverse(greatest_lower_bound(identity,X_73)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73))))),inverse(greatest_lower_bound(identity,X_73))) )],[refute_0_2487,refute_0_2488]) ).
cnf(refute_0_2490,plain,
( multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))))
| least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))) = inverse(greatest_lower_bound(identity,X_73)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))))) )],[refute_0_2241,refute_0_2489]) ).
cnf(refute_0_2491,plain,
least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))) = inverse(greatest_lower_bound(identity,X_73)),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(inverse(X_73),inverse(greatest_lower_bound(X_73,identity))),least_upper_bound(identity,greatest_lower_bound(X_73,identity))),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_73,identity)),multiply(inverse(X_73),least_upper_bound(identity,greatest_lower_bound(identity,X_73)))))) )],[refute_0_2230,refute_0_2490]) ).
cnf(refute_0_2492,plain,
least_upper_bound(inverse(multiply(inverse(X),X_23)),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))) = inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23))),
inference(subst,[],[refute_0_2491:[bind(X_73,$fot(multiply(inverse(X),X_23)))]]) ).
cnf(refute_0_2493,plain,
( inverse(multiply(inverse(X),X_23)) != multiply(inverse(X_23),X)
| least_upper_bound(inverse(multiply(inverse(X),X_23)),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))) != inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))
| least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))) = inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(multiply(inverse(X),X_23)),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))) ),[0,0],$fot(multiply(inverse(X_23),X))]]) ).
cnf(refute_0_2494,plain,
( least_upper_bound(inverse(multiply(inverse(X),X_23)),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))) != inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))
| least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))) = inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X),X_23)),multiply(inverse(X_23),X)) )],[refute_0_63,refute_0_2493]) ).
cnf(refute_0_2495,plain,
least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))) = inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23))),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(multiply(inverse(X),X_23)),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))) )],[refute_0_2492,refute_0_2494]) ).
cnf(refute_0_2496,plain,
multiply(least_upper_bound(Y,inverse(greatest_lower_bound(X_176,X))),X) = least_upper_bound(multiply(Y,X),multiply(inverse(greatest_lower_bound(X_176,X)),X)),
inference(subst,[],[monotony_lub2:[bind(Z,$fot(inverse(greatest_lower_bound(X_176,X))))]]) ).
cnf(refute_0_2497,plain,
inverse(multiply(inverse(X),greatest_lower_bound(X_70,inverse(inverse(X))))) = multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X),
inference(subst,[],[refute_0_63:[bind(X_23,$fot(greatest_lower_bound(X_70,inverse(inverse(X)))))]]) ).
cnf(refute_0_2498,plain,
multiply(inverse(X),greatest_lower_bound(X_70,inverse(inverse(X)))) = greatest_lower_bound(identity,multiply(inverse(X),X_70)),
inference(subst,[],[refute_0_135:[bind(X_66,$fot(inverse(X))),bind(X_67,$fot(X_70))]]) ).
cnf(refute_0_2499,plain,
( multiply(inverse(X),greatest_lower_bound(X_70,inverse(inverse(X)))) != greatest_lower_bound(identity,multiply(inverse(X),X_70))
| inverse(multiply(inverse(X),greatest_lower_bound(X_70,inverse(inverse(X))))) != multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X)
| inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70))) = multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X),greatest_lower_bound(X_70,inverse(inverse(X))))),multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X)) ),[0,0],$fot(greatest_lower_bound(identity,multiply(inverse(X),X_70)))]]) ).
cnf(refute_0_2500,plain,
( inverse(multiply(inverse(X),greatest_lower_bound(X_70,inverse(inverse(X))))) != multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X)
| inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70))) = multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),greatest_lower_bound(X_70,inverse(inverse(X)))),greatest_lower_bound(identity,multiply(inverse(X),X_70))) )],[refute_0_2498,refute_0_2499]) ).
cnf(refute_0_2501,plain,
inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70))) = multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X),greatest_lower_bound(X_70,inverse(inverse(X))))),multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X)) )],[refute_0_2497,refute_0_2500]) ).
cnf(refute_0_2502,plain,
greatest_lower_bound(X_70,inverse(inverse(X))) = greatest_lower_bound(X_70,inverse(inverse(X))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X_70,inverse(inverse(X))))]]) ).
cnf(refute_0_2503,plain,
( greatest_lower_bound(X_70,inverse(inverse(X))) != greatest_lower_bound(X_70,inverse(inverse(X)))
| inverse(inverse(X)) != X
| greatest_lower_bound(X_70,inverse(inverse(X))) = greatest_lower_bound(X_70,X) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_70,inverse(inverse(X))),greatest_lower_bound(X_70,inverse(inverse(X)))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_2504,plain,
( inverse(inverse(X)) != X
| greatest_lower_bound(X_70,inverse(inverse(X))) = greatest_lower_bound(X_70,X) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_70,inverse(inverse(X))),greatest_lower_bound(X_70,inverse(inverse(X)))) )],[refute_0_2502,refute_0_2503]) ).
cnf(refute_0_2505,plain,
greatest_lower_bound(X_70,inverse(inverse(X))) = greatest_lower_bound(X_70,X),
inference(resolve,[$cnf( $equal(inverse(inverse(X)),X) )],[p20_2,refute_0_2504]) ).
cnf(refute_0_2506,plain,
inverse(greatest_lower_bound(X_70,inverse(inverse(X)))) = inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),
introduced(tautology,[refl,[$fot(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))))]]) ).
cnf(refute_0_2507,plain,
( greatest_lower_bound(X_70,inverse(inverse(X))) != greatest_lower_bound(X_70,X)
| inverse(greatest_lower_bound(X_70,inverse(inverse(X)))) != inverse(greatest_lower_bound(X_70,inverse(inverse(X))))
| inverse(greatest_lower_bound(X_70,inverse(inverse(X)))) = inverse(greatest_lower_bound(X_70,X)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),inverse(greatest_lower_bound(X_70,inverse(inverse(X))))) ),[1,0],$fot(greatest_lower_bound(X_70,X))]]) ).
cnf(refute_0_2508,plain,
( greatest_lower_bound(X_70,inverse(inverse(X))) != greatest_lower_bound(X_70,X)
| inverse(greatest_lower_bound(X_70,inverse(inverse(X)))) = inverse(greatest_lower_bound(X_70,X)) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),inverse(greatest_lower_bound(X_70,inverse(inverse(X))))) )],[refute_0_2506,refute_0_2507]) ).
cnf(refute_0_2509,plain,
inverse(greatest_lower_bound(X_70,inverse(inverse(X)))) = inverse(greatest_lower_bound(X_70,X)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_70,inverse(inverse(X))),greatest_lower_bound(X_70,X)) )],[refute_0_2505,refute_0_2508]) ).
cnf(refute_0_2510,plain,
multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X) = multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X),
introduced(tautology,[refl,[$fot(multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X))]]) ).
cnf(refute_0_2511,plain,
( multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X) != multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X)
| inverse(greatest_lower_bound(X_70,inverse(inverse(X)))) != inverse(greatest_lower_bound(X_70,X))
| multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X) = multiply(inverse(greatest_lower_bound(X_70,X)),X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X),multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X)) ),[1,0],$fot(inverse(greatest_lower_bound(X_70,X)))]]) ).
cnf(refute_0_2512,plain,
( inverse(greatest_lower_bound(X_70,inverse(inverse(X)))) != inverse(greatest_lower_bound(X_70,X))
| multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X) = multiply(inverse(greatest_lower_bound(X_70,X)),X) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X),multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X)) )],[refute_0_2510,refute_0_2511]) ).
cnf(refute_0_2513,plain,
multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X) = multiply(inverse(greatest_lower_bound(X_70,X)),X),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),inverse(greatest_lower_bound(X_70,X))) )],[refute_0_2509,refute_0_2512]) ).
cnf(refute_0_2514,plain,
( multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X) != multiply(inverse(greatest_lower_bound(X_70,X)),X)
| inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70))) != multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X)
| inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70))) = multiply(inverse(greatest_lower_bound(X_70,X)),X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70))),multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X)) ),[1],$fot(multiply(inverse(greatest_lower_bound(X_70,X)),X))]]) ).
cnf(refute_0_2515,plain,
( inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70))) != multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X)
| inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70))) = multiply(inverse(greatest_lower_bound(X_70,X)),X) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X),multiply(inverse(greatest_lower_bound(X_70,X)),X)) )],[refute_0_2513,refute_0_2514]) ).
cnf(refute_0_2516,plain,
inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70))) = multiply(inverse(greatest_lower_bound(X_70,X)),X),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70))),multiply(inverse(greatest_lower_bound(X_70,inverse(inverse(X)))),X)) )],[refute_0_2501,refute_0_2515]) ).
cnf(refute_0_2517,plain,
inverse(greatest_lower_bound(identity,multiply(inverse(X),X_176))) = multiply(inverse(greatest_lower_bound(X_176,X)),X),
inference(subst,[],[refute_0_2516:[bind(X_70,$fot(X_176))]]) ).
cnf(refute_0_2518,plain,
( inverse(greatest_lower_bound(identity,multiply(inverse(X),X_176))) != multiply(inverse(greatest_lower_bound(X_176,X)),X)
| multiply(inverse(greatest_lower_bound(X_176,X)),X) = inverse(greatest_lower_bound(identity,multiply(inverse(X),X_176))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(greatest_lower_bound(identity,multiply(inverse(X),X_176))))),bind(Y0,$fot(multiply(inverse(greatest_lower_bound(X_176,X)),X)))]]) ).
cnf(refute_0_2519,plain,
multiply(inverse(greatest_lower_bound(X_176,X)),X) = inverse(greatest_lower_bound(identity,multiply(inverse(X),X_176))),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,multiply(inverse(X),X_176))),multiply(inverse(greatest_lower_bound(X_176,X)),X)) )],[refute_0_2517,refute_0_2518]) ).
cnf(refute_0_2520,plain,
( multiply(inverse(greatest_lower_bound(X_176,X)),X) != inverse(greatest_lower_bound(identity,multiply(inverse(X),X_176)))
| multiply(least_upper_bound(Y,inverse(greatest_lower_bound(X_176,X))),X) != least_upper_bound(multiply(Y,X),multiply(inverse(greatest_lower_bound(X_176,X)),X))
| multiply(least_upper_bound(Y,inverse(greatest_lower_bound(X_176,X))),X) = least_upper_bound(multiply(Y,X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_176)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(Y,inverse(greatest_lower_bound(X_176,X))),X),least_upper_bound(multiply(Y,X),multiply(inverse(greatest_lower_bound(X_176,X)),X))) ),[1,1],$fot(inverse(greatest_lower_bound(identity,multiply(inverse(X),X_176))))]]) ).
cnf(refute_0_2521,plain,
( multiply(least_upper_bound(Y,inverse(greatest_lower_bound(X_176,X))),X) != least_upper_bound(multiply(Y,X),multiply(inverse(greatest_lower_bound(X_176,X)),X))
| multiply(least_upper_bound(Y,inverse(greatest_lower_bound(X_176,X))),X) = least_upper_bound(multiply(Y,X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_176)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(X_176,X)),X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_176)))) )],[refute_0_2519,refute_0_2520]) ).
cnf(refute_0_2522,plain,
multiply(least_upper_bound(Y,inverse(greatest_lower_bound(X_176,X))),X) = least_upper_bound(multiply(Y,X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_176)))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(Y,inverse(greatest_lower_bound(X_176,X))),X),least_upper_bound(multiply(Y,X),multiply(inverse(greatest_lower_bound(X_176,X)),X))) )],[refute_0_2496,refute_0_2521]) ).
cnf(refute_0_2523,plain,
( multiply(least_upper_bound(Y,inverse(greatest_lower_bound(X_176,X))),X) != least_upper_bound(multiply(Y,X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_176))))
| least_upper_bound(multiply(Y,X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_176)))) = multiply(least_upper_bound(Y,inverse(greatest_lower_bound(X_176,X))),X) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(least_upper_bound(Y,inverse(greatest_lower_bound(X_176,X))),X))),bind(Y0,$fot(least_upper_bound(multiply(Y,X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_176))))))]]) ).
cnf(refute_0_2524,plain,
least_upper_bound(multiply(Y,X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_176)))) = multiply(least_upper_bound(Y,inverse(greatest_lower_bound(X_176,X))),X),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(Y,inverse(greatest_lower_bound(X_176,X))),X),least_upper_bound(multiply(Y,X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_176))))) )],[refute_0_2522,refute_0_2523]) ).
cnf(refute_0_2525,plain,
least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))) = multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X),
inference(subst,[],[refute_0_2524:[bind(Y,$fot(inverse(X_23))),bind(X_176,$fot(X_23))]]) ).
cnf(refute_0_2526,plain,
inverse(greatest_lower_bound(X_154,identity)) = multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_154,identity)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(X_154,identity),X_180)))),
inference(subst,[],[refute_0_395:[bind(X,$fot(greatest_lower_bound(X_154,identity))),bind(X_72,$fot(X_180))]]) ).
cnf(refute_0_2527,plain,
multiply(greatest_lower_bound(identity,X_154),X_180) = multiply(greatest_lower_bound(X_154,identity),X_180),
inference(subst,[],[refute_0_2155:[bind(X_31,$fot(X_180))]]) ).
cnf(refute_0_2528,plain,
( multiply(greatest_lower_bound(identity,X_154),X_180) != multiply(greatest_lower_bound(X_154,identity),X_180)
| multiply(greatest_lower_bound(X_154,identity),X_180) = multiply(greatest_lower_bound(identity,X_154),X_180) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(identity,X_154),X_180))),bind(Y0,$fot(multiply(greatest_lower_bound(X_154,identity),X_180)))]]) ).
cnf(refute_0_2529,plain,
multiply(greatest_lower_bound(X_154,identity),X_180) = multiply(greatest_lower_bound(identity,X_154),X_180),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_154),X_180),multiply(greatest_lower_bound(X_154,identity),X_180)) )],[refute_0_2527,refute_0_2528]) ).
cnf(refute_0_2530,plain,
( multiply(greatest_lower_bound(X_154,identity),X_180) != multiply(greatest_lower_bound(identity,X_154),X_180)
| inverse(greatest_lower_bound(X_154,identity)) != multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_154,identity)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(X_154,identity),X_180))))
| inverse(greatest_lower_bound(X_154,identity)) = multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_154,identity)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_154),X_180)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(X_154,identity)),multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_154,identity)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(X_154,identity),X_180))))) ),[1,1,0,1],$fot(multiply(greatest_lower_bound(identity,X_154),X_180))]]) ).
cnf(refute_0_2531,plain,
( inverse(greatest_lower_bound(X_154,identity)) != multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_154,identity)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(X_154,identity),X_180))))
| inverse(greatest_lower_bound(X_154,identity)) = multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_154,identity)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_154),X_180)))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_154,identity),X_180),multiply(greatest_lower_bound(identity,X_154),X_180)) )],[refute_0_2529,refute_0_2530]) ).
cnf(refute_0_2532,plain,
inverse(greatest_lower_bound(X_154,identity)) = multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_154,identity)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_154),X_180)))),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_154,identity)),multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_154,identity)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(X_154,identity),X_180))))) )],[refute_0_2526,refute_0_2531]) ).
cnf(refute_0_2533,plain,
inverse(greatest_lower_bound(X_74,X_73)) = multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_74,X_73)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(X_74,X_73),X_180)))),
inference(subst,[],[refute_0_395:[bind(X,$fot(greatest_lower_bound(X_74,X_73))),bind(X_72,$fot(X_180))]]) ).
cnf(refute_0_2534,plain,
( inverse(greatest_lower_bound(X_73,X_74)) != inverse(greatest_lower_bound(X_74,X_73))
| inverse(greatest_lower_bound(X_74,X_73)) = inverse(greatest_lower_bound(X_73,X_74)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(greatest_lower_bound(X_73,X_74)))),bind(Y0,$fot(inverse(greatest_lower_bound(X_74,X_73))))]]) ).
cnf(refute_0_2535,plain,
inverse(greatest_lower_bound(X_74,X_73)) = inverse(greatest_lower_bound(X_73,X_74)),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_73,X_74)),inverse(greatest_lower_bound(X_74,X_73))) )],[refute_0_148,refute_0_2534]) ).
cnf(refute_0_2536,plain,
( inverse(greatest_lower_bound(X_74,X_73)) != multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_74,X_73)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(X_74,X_73),X_180))))
| inverse(greatest_lower_bound(X_74,X_73)) != inverse(greatest_lower_bound(X_73,X_74))
| inverse(greatest_lower_bound(X_74,X_73)) = multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_73,X_74)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(X_74,X_73),X_180)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(X_74,X_73)),multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_74,X_73)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(X_74,X_73),X_180))))) ),[1,0,0],$fot(inverse(greatest_lower_bound(X_73,X_74)))]]) ).
cnf(refute_0_2537,plain,
( inverse(greatest_lower_bound(X_74,X_73)) != multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_74,X_73)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(X_74,X_73),X_180))))
| inverse(greatest_lower_bound(X_74,X_73)) = multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_73,X_74)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(X_74,X_73),X_180)))) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_74,X_73)),inverse(greatest_lower_bound(X_73,X_74))) )],[refute_0_2535,refute_0_2536]) ).
cnf(refute_0_2538,plain,
inverse(greatest_lower_bound(X_74,X_73)) = multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_73,X_74)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(X_74,X_73),X_180)))),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_74,X_73)),multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_74,X_73)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(X_74,X_73),X_180))))) )],[refute_0_2533,refute_0_2537]) ).
cnf(refute_0_2539,plain,
( inverse(greatest_lower_bound(X_74,X_73)) != multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_73,X_74)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(X_74,X_73),X_180))))
| multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_73,X_74)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(X_74,X_73),X_180)))) = inverse(greatest_lower_bound(X_74,X_73)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(greatest_lower_bound(X_74,X_73)))),bind(Y0,$fot(multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_73,X_74)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(X_74,X_73),X_180))))))]]) ).
cnf(refute_0_2540,plain,
multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_73,X_74)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(X_74,X_73),X_180)))) = inverse(greatest_lower_bound(X_74,X_73)),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_74,X_73)),multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_73,X_74)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(X_74,X_73),X_180))))) )],[refute_0_2538,refute_0_2539]) ).
cnf(refute_0_2541,plain,
multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_154,identity)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_154),X_180)))) = inverse(greatest_lower_bound(identity,X_154)),
inference(subst,[],[refute_0_2540:[bind(X_73,$fot(X_154)),bind(X_74,$fot(identity))]]) ).
cnf(refute_0_2542,plain,
( multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_154,identity)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_154),X_180)))) != inverse(greatest_lower_bound(identity,X_154))
| inverse(greatest_lower_bound(X_154,identity)) != multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_154,identity)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_154),X_180))))
| inverse(greatest_lower_bound(X_154,identity)) = inverse(greatest_lower_bound(identity,X_154)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(X_154,identity)),multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_154,identity)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_154),X_180))))) ),[1],$fot(inverse(greatest_lower_bound(identity,X_154)))]]) ).
cnf(refute_0_2543,plain,
( inverse(greatest_lower_bound(X_154,identity)) != multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_154,identity)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_154),X_180))))
| inverse(greatest_lower_bound(X_154,identity)) = inverse(greatest_lower_bound(identity,X_154)) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_154,identity)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_154),X_180)))),inverse(greatest_lower_bound(identity,X_154))) )],[refute_0_2541,refute_0_2542]) ).
cnf(refute_0_2544,plain,
inverse(greatest_lower_bound(X_154,identity)) = inverse(greatest_lower_bound(identity,X_154)),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_154,identity)),multiply(greatest_lower_bound(inverse(greatest_lower_bound(X_154,identity)),X_180),inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_154),X_180))))) )],[refute_0_2532,refute_0_2543]) ).
cnf(refute_0_2545,plain,
inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity)) = inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23))),
inference(subst,[],[refute_0_2544:[bind(X_154,$fot(multiply(inverse(X),X_23)))]]) ).
cnf(refute_0_2546,plain,
least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))) = least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))),
introduced(tautology,[refl,[$fot(least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))))]]) ).
cnf(refute_0_2547,plain,
( inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity)) != inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))
| least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))) != least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity)))
| least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))) = least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))),least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity)))) ),[1,1],$fot(inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23))))]]) ).
cnf(refute_0_2548,plain,
( inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity)) != inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))
| least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))) = least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))),least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity)))) )],[refute_0_2546,refute_0_2547]) ).
cnf(refute_0_2549,plain,
least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))) = least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity)),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))) )],[refute_0_2545,refute_0_2548]) ).
cnf(refute_0_2550,plain,
( least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))) != least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23))))
| least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))) != multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X)
| least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))) = multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))))),bind(Y0,$fot(least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))))),bind(Z0,$fot(multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X)))]]) ).
cnf(refute_0_2551,plain,
( least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))) != multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X)
| least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))) = multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))),least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23))))) )],[refute_0_2549,refute_0_2550]) ).
cnf(refute_0_2552,plain,
least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))) = multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))),multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X)) )],[refute_0_2525,refute_0_2551]) ).
cnf(refute_0_2553,plain,
( least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))) != multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X)
| least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))) != inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))
| multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X) = inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))) ),[0],$fot(multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X))]]) ).
cnf(refute_0_2554,plain,
( least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))) != inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))
| multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X) = inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))),multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X)) )],[refute_0_2552,refute_0_2553]) ).
cnf(refute_0_2555,plain,
multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X) = inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23))),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(inverse(X_23),X),inverse(greatest_lower_bound(multiply(inverse(X),X_23),identity))),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))) )],[refute_0_2495,refute_0_2554]) ).
cnf(refute_0_2556,plain,
inverse(X) = multiply(least_upper_bound(inverse(X),X_133),inverse(multiply(X,least_upper_bound(inverse(X),X_133)))),
inference(subst,[],[refute_0_386:[bind(Y,$fot(least_upper_bound(inverse(X),X_133)))]]) ).
cnf(refute_0_2557,plain,
multiply(X_129,least_upper_bound(inverse(X_129),X_131)) = least_upper_bound(multiply(X_129,inverse(X_129)),multiply(X_129,X_131)),
inference(subst,[],[monotony_lub1:[bind(X,$fot(X_129)),bind(Y,$fot(inverse(X_129))),bind(Z,$fot(X_131))]]) ).
cnf(refute_0_2558,plain,
multiply(X_129,inverse(X_129)) = identity,
inference(subst,[],[refute_0_127:[bind(X_1,$fot(X_129))]]) ).
cnf(refute_0_2559,plain,
( multiply(X_129,inverse(X_129)) != identity
| multiply(X_129,least_upper_bound(inverse(X_129),X_131)) != least_upper_bound(multiply(X_129,inverse(X_129)),multiply(X_129,X_131))
| multiply(X_129,least_upper_bound(inverse(X_129),X_131)) = least_upper_bound(identity,multiply(X_129,X_131)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_129,least_upper_bound(inverse(X_129),X_131)),least_upper_bound(multiply(X_129,inverse(X_129)),multiply(X_129,X_131))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_2560,plain,
( multiply(X_129,least_upper_bound(inverse(X_129),X_131)) != least_upper_bound(multiply(X_129,inverse(X_129)),multiply(X_129,X_131))
| multiply(X_129,least_upper_bound(inverse(X_129),X_131)) = least_upper_bound(identity,multiply(X_129,X_131)) ),
inference(resolve,[$cnf( $equal(multiply(X_129,inverse(X_129)),identity) )],[refute_0_2558,refute_0_2559]) ).
cnf(refute_0_2561,plain,
multiply(X_129,least_upper_bound(inverse(X_129),X_131)) = least_upper_bound(identity,multiply(X_129,X_131)),
inference(resolve,[$cnf( $equal(multiply(X_129,least_upper_bound(inverse(X_129),X_131)),least_upper_bound(multiply(X_129,inverse(X_129)),multiply(X_129,X_131))) )],[refute_0_2557,refute_0_2560]) ).
cnf(refute_0_2562,plain,
multiply(X,least_upper_bound(inverse(X),X_133)) = least_upper_bound(identity,multiply(X,X_133)),
inference(subst,[],[refute_0_2561:[bind(X_129,$fot(X)),bind(X_131,$fot(X_133))]]) ).
cnf(refute_0_2563,plain,
( multiply(X,least_upper_bound(inverse(X),X_133)) != least_upper_bound(identity,multiply(X,X_133))
| inverse(X) != multiply(least_upper_bound(inverse(X),X_133),inverse(multiply(X,least_upper_bound(inverse(X),X_133))))
| inverse(X) = multiply(least_upper_bound(inverse(X),X_133),inverse(least_upper_bound(identity,multiply(X,X_133)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),multiply(least_upper_bound(inverse(X),X_133),inverse(multiply(X,least_upper_bound(inverse(X),X_133))))) ),[1,1,0],$fot(least_upper_bound(identity,multiply(X,X_133)))]]) ).
cnf(refute_0_2564,plain,
( inverse(X) != multiply(least_upper_bound(inverse(X),X_133),inverse(multiply(X,least_upper_bound(inverse(X),X_133))))
| inverse(X) = multiply(least_upper_bound(inverse(X),X_133),inverse(least_upper_bound(identity,multiply(X,X_133)))) ),
inference(resolve,[$cnf( $equal(multiply(X,least_upper_bound(inverse(X),X_133)),least_upper_bound(identity,multiply(X,X_133))) )],[refute_0_2562,refute_0_2563]) ).
cnf(refute_0_2565,plain,
inverse(X) = multiply(least_upper_bound(inverse(X),X_133),inverse(least_upper_bound(identity,multiply(X,X_133)))),
inference(resolve,[$cnf( $equal(inverse(X),multiply(least_upper_bound(inverse(X),X_133),inverse(multiply(X,least_upper_bound(inverse(X),X_133))))) )],[refute_0_2556,refute_0_2564]) ).
cnf(refute_0_2566,plain,
inverse(greatest_lower_bound(X_85,X_86)) = multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,multiply(greatest_lower_bound(X_85,X_86),inverse(X_85))))),
inference(subst,[],[refute_0_2565:[bind(X,$fot(greatest_lower_bound(X_85,X_86))),bind(X_133,$fot(inverse(X_85)))]]) ).
cnf(refute_0_2567,plain,
( multiply(greatest_lower_bound(X_85,X_86),inverse(X_85)) != greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))
| inverse(greatest_lower_bound(X_85,X_86)) != multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,multiply(greatest_lower_bound(X_85,X_86),inverse(X_85)))))
| inverse(greatest_lower_bound(X_85,X_86)) = multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(X_85,X_86)),multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,multiply(greatest_lower_bound(X_85,X_86),inverse(X_85)))))) ),[1,1,0,1],$fot(greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))]]) ).
cnf(refute_0_2568,plain,
( inverse(greatest_lower_bound(X_85,X_86)) != multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,multiply(greatest_lower_bound(X_85,X_86),inverse(X_85)))))
| inverse(greatest_lower_bound(X_85,X_86)) = multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_85,X_86),inverse(X_85)),greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))) )],[refute_0_555,refute_0_2567]) ).
cnf(refute_0_2569,plain,
inverse(greatest_lower_bound(X_85,X_86)) = multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_85,X_86)),multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,multiply(greatest_lower_bound(X_85,X_86),inverse(X_85)))))) )],[refute_0_2566,refute_0_2568]) ).
cnf(refute_0_2570,plain,
multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),identity) = least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),
inference(subst,[],[refute_0_573:[bind(X,$fot(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86)))))]]) ).
cnf(refute_0_2571,plain,
least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))) = identity,
inference(subst,[],[lub_absorbtion:[bind(X,$fot(identity)),bind(Y,$fot(multiply(X_86,inverse(X_85))))]]) ).
cnf(refute_0_2572,plain,
inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))) = inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))),
introduced(tautology,[refl,[$fot(inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))))]]) ).
cnf(refute_0_2573,plain,
( inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))) != inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))
| least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))) != identity
| inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_2574,plain,
( least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))) != identity
| inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) )],[refute_0_2572,refute_0_2573]) ).
cnf(refute_0_2575,plain,
inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))) = inverse(identity),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))),identity) )],[refute_0_2571,refute_0_2574]) ).
cnf(refute_0_2576,plain,
( inverse(identity) != identity
| inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))) != inverse(identity)
| inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))) = identity ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))))),bind(Y0,$fot(inverse(identity))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_2577,plain,
( inverse(identity) != identity
| inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))) = identity ),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))),inverse(identity)) )],[refute_0_2575,refute_0_2576]) ).
cnf(refute_0_2578,plain,
inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))) = identity,
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[p20_1,refute_0_2577]) ).
cnf(refute_0_2579,plain,
multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) = multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))),
introduced(tautology,[refl,[$fot(multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))))]]) ).
cnf(refute_0_2580,plain,
( multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) != multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))))
| inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))) != identity
| multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) = multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))),multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_2581,plain,
( inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))) != identity
| multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) = multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),identity) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))),multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))))) )],[refute_0_2579,refute_0_2580]) ).
cnf(refute_0_2582,plain,
multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) = multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),identity),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))),identity) )],[refute_0_2578,refute_0_2581]) ).
cnf(refute_0_2583,plain,
( multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),identity) != least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86)))
| multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) != multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),identity)
| multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) = least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))))),bind(Y0,$fot(multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),identity))),bind(Z0,$fot(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86)))))]]) ).
cnf(refute_0_2584,plain,
( multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),identity) != least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86)))
| multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) = least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))),multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),identity)) )],[refute_0_2582,refute_0_2583]) ).
cnf(refute_0_2585,plain,
multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) = least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),identity),least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86)))) )],[refute_0_2570,refute_0_2584]) ).
cnf(refute_0_2586,plain,
inverse(multiply(X_22,inverse(multiply(X_29,inverse(X_28))))) = multiply(multiply(X_29,inverse(X_28)),inverse(X_22)),
inference(subst,[],[refute_0_378:[bind(X,$fot(multiply(X_29,inverse(X_28))))]]) ).
cnf(refute_0_2587,plain,
inverse(multiply(X_29,inverse(X_28))) = multiply(X_28,inverse(X_29)),
inference(subst,[],[refute_0_378:[bind(X,$fot(X_28)),bind(X_22,$fot(X_29))]]) ).
cnf(refute_0_2588,plain,
( inverse(multiply(X_22,inverse(multiply(X_29,inverse(X_28))))) != multiply(multiply(X_29,inverse(X_28)),inverse(X_22))
| inverse(multiply(X_29,inverse(X_28))) != multiply(X_28,inverse(X_29))
| inverse(multiply(X_22,multiply(X_28,inverse(X_29)))) = multiply(multiply(X_29,inverse(X_28)),inverse(X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_22,inverse(multiply(X_29,inverse(X_28))))),multiply(multiply(X_29,inverse(X_28)),inverse(X_22))) ),[0,0,1],$fot(multiply(X_28,inverse(X_29)))]]) ).
cnf(refute_0_2589,plain,
( inverse(multiply(X_22,inverse(multiply(X_29,inverse(X_28))))) != multiply(multiply(X_29,inverse(X_28)),inverse(X_22))
| inverse(multiply(X_22,multiply(X_28,inverse(X_29)))) = multiply(multiply(X_29,inverse(X_28)),inverse(X_22)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_29,inverse(X_28))),multiply(X_28,inverse(X_29))) )],[refute_0_2587,refute_0_2588]) ).
cnf(refute_0_2590,plain,
inverse(multiply(X_22,multiply(X_28,inverse(X_29)))) = multiply(multiply(X_29,inverse(X_28)),inverse(X_22)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_22,inverse(multiply(X_29,inverse(X_28))))),multiply(multiply(X_29,inverse(X_28)),inverse(X_22))) )],[refute_0_2586,refute_0_2589]) ).
cnf(refute_0_2591,plain,
multiply(inverse(X_28),inverse(X_22)) = inverse(multiply(X_22,X_28)),
inference(subst,[],[refute_0_66:[bind(X,$fot(X_22)),bind(Y,$fot(X_28))]]) ).
cnf(refute_0_2592,plain,
multiply(X_29,multiply(inverse(X_28),inverse(X_22))) = multiply(X_29,multiply(inverse(X_28),inverse(X_22))),
introduced(tautology,[refl,[$fot(multiply(X_29,multiply(inverse(X_28),inverse(X_22))))]]) ).
cnf(refute_0_2593,plain,
( multiply(X_29,multiply(inverse(X_28),inverse(X_22))) != multiply(X_29,multiply(inverse(X_28),inverse(X_22)))
| multiply(inverse(X_28),inverse(X_22)) != inverse(multiply(X_22,X_28))
| multiply(X_29,multiply(inverse(X_28),inverse(X_22))) = multiply(X_29,inverse(multiply(X_22,X_28))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_29,multiply(inverse(X_28),inverse(X_22))),multiply(X_29,multiply(inverse(X_28),inverse(X_22)))) ),[1,1],$fot(inverse(multiply(X_22,X_28)))]]) ).
cnf(refute_0_2594,plain,
( multiply(inverse(X_28),inverse(X_22)) != inverse(multiply(X_22,X_28))
| multiply(X_29,multiply(inverse(X_28),inverse(X_22))) = multiply(X_29,inverse(multiply(X_22,X_28))) ),
inference(resolve,[$cnf( $equal(multiply(X_29,multiply(inverse(X_28),inverse(X_22))),multiply(X_29,multiply(inverse(X_28),inverse(X_22)))) )],[refute_0_2592,refute_0_2593]) ).
cnf(refute_0_2595,plain,
multiply(X_29,multiply(inverse(X_28),inverse(X_22))) = multiply(X_29,inverse(multiply(X_22,X_28))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_28),inverse(X_22)),inverse(multiply(X_22,X_28))) )],[refute_0_2591,refute_0_2594]) ).
cnf(refute_0_2596,plain,
multiply(multiply(X_29,inverse(X_28)),inverse(X_22)) = multiply(X_29,multiply(inverse(X_28),inverse(X_22))),
inference(subst,[],[associativity:[bind(X,$fot(X_29)),bind(Y,$fot(inverse(X_28))),bind(Z,$fot(inverse(X_22)))]]) ).
cnf(refute_0_2597,plain,
( multiply(X_29,multiply(inverse(X_28),inverse(X_22))) != multiply(X_29,inverse(multiply(X_22,X_28)))
| multiply(multiply(X_29,inverse(X_28)),inverse(X_22)) != multiply(X_29,multiply(inverse(X_28),inverse(X_22)))
| multiply(multiply(X_29,inverse(X_28)),inverse(X_22)) = multiply(X_29,inverse(multiply(X_22,X_28))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(multiply(X_29,inverse(X_28)),inverse(X_22)))),bind(Y0,$fot(multiply(X_29,multiply(inverse(X_28),inverse(X_22))))),bind(Z0,$fot(multiply(X_29,inverse(multiply(X_22,X_28)))))]]) ).
cnf(refute_0_2598,plain,
( multiply(X_29,multiply(inverse(X_28),inverse(X_22))) != multiply(X_29,inverse(multiply(X_22,X_28)))
| multiply(multiply(X_29,inverse(X_28)),inverse(X_22)) = multiply(X_29,inverse(multiply(X_22,X_28))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_29,inverse(X_28)),inverse(X_22)),multiply(X_29,multiply(inverse(X_28),inverse(X_22)))) )],[refute_0_2596,refute_0_2597]) ).
cnf(refute_0_2599,plain,
multiply(multiply(X_29,inverse(X_28)),inverse(X_22)) = multiply(X_29,inverse(multiply(X_22,X_28))),
inference(resolve,[$cnf( $equal(multiply(X_29,multiply(inverse(X_28),inverse(X_22))),multiply(X_29,inverse(multiply(X_22,X_28)))) )],[refute_0_2595,refute_0_2598]) ).
cnf(refute_0_2600,plain,
( multiply(multiply(X_29,inverse(X_28)),inverse(X_22)) != multiply(X_29,inverse(multiply(X_22,X_28)))
| inverse(multiply(X_22,multiply(X_28,inverse(X_29)))) != multiply(multiply(X_29,inverse(X_28)),inverse(X_22))
| inverse(multiply(X_22,multiply(X_28,inverse(X_29)))) = multiply(X_29,inverse(multiply(X_22,X_28))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_22,multiply(X_28,inverse(X_29)))),multiply(multiply(X_29,inverse(X_28)),inverse(X_22))) ),[1],$fot(multiply(X_29,inverse(multiply(X_22,X_28))))]]) ).
cnf(refute_0_2601,plain,
( inverse(multiply(X_22,multiply(X_28,inverse(X_29)))) != multiply(multiply(X_29,inverse(X_28)),inverse(X_22))
| inverse(multiply(X_22,multiply(X_28,inverse(X_29)))) = multiply(X_29,inverse(multiply(X_22,X_28))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_29,inverse(X_28)),inverse(X_22)),multiply(X_29,inverse(multiply(X_22,X_28)))) )],[refute_0_2599,refute_0_2600]) ).
cnf(refute_0_2602,plain,
inverse(multiply(X_22,multiply(X_28,inverse(X_29)))) = multiply(X_29,inverse(multiply(X_22,X_28))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_22,multiply(X_28,inverse(X_29)))),multiply(multiply(X_29,inverse(X_28)),inverse(X_22))) )],[refute_0_2590,refute_0_2601]) ).
cnf(refute_0_2603,plain,
inverse(multiply(X_126,multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100))))) = multiply(least_upper_bound(X_99,X_100),inverse(multiply(X_126,least_upper_bound(X_100,X_99)))),
inference(subst,[],[refute_0_2602:[bind(X_22,$fot(X_126)),bind(X_28,$fot(least_upper_bound(X_100,X_99))),bind(X_29,$fot(least_upper_bound(X_99,X_100)))]]) ).
cnf(refute_0_2604,plain,
( multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100))) != identity
| inverse(multiply(X_126,multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100))))) != multiply(least_upper_bound(X_99,X_100),inverse(multiply(X_126,least_upper_bound(X_100,X_99))))
| inverse(multiply(X_126,identity)) = multiply(least_upper_bound(X_99,X_100),inverse(multiply(X_126,least_upper_bound(X_100,X_99)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_126,multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100))))),multiply(least_upper_bound(X_99,X_100),inverse(multiply(X_126,least_upper_bound(X_100,X_99))))) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_2605,plain,
( inverse(multiply(X_126,multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100))))) != multiply(least_upper_bound(X_99,X_100),inverse(multiply(X_126,least_upper_bound(X_100,X_99))))
| inverse(multiply(X_126,identity)) = multiply(least_upper_bound(X_99,X_100),inverse(multiply(X_126,least_upper_bound(X_100,X_99)))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100))),identity) )],[refute_0_1983,refute_0_2604]) ).
cnf(refute_0_2606,plain,
inverse(multiply(X_126,identity)) = multiply(least_upper_bound(X_99,X_100),inverse(multiply(X_126,least_upper_bound(X_100,X_99)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_126,multiply(least_upper_bound(X_100,X_99),inverse(least_upper_bound(X_99,X_100))))),multiply(least_upper_bound(X_99,X_100),inverse(multiply(X_126,least_upper_bound(X_100,X_99))))) )],[refute_0_2603,refute_0_2605]) ).
cnf(refute_0_2607,plain,
multiply(X_126,identity) = X_126,
inference(subst,[],[refute_0_573:[bind(X,$fot(X_126))]]) ).
cnf(refute_0_2608,plain,
inverse(multiply(X_126,identity)) = inverse(multiply(X_126,identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(X_126,identity)))]]) ).
cnf(refute_0_2609,plain,
( multiply(X_126,identity) != X_126
| inverse(multiply(X_126,identity)) != inverse(multiply(X_126,identity))
| inverse(multiply(X_126,identity)) = inverse(X_126) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_126,identity)),inverse(multiply(X_126,identity))) ),[1,0],$fot(X_126)]]) ).
cnf(refute_0_2610,plain,
( multiply(X_126,identity) != X_126
| inverse(multiply(X_126,identity)) = inverse(X_126) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_126,identity)),inverse(multiply(X_126,identity))) )],[refute_0_2608,refute_0_2609]) ).
cnf(refute_0_2611,plain,
inverse(multiply(X_126,identity)) = inverse(X_126),
inference(resolve,[$cnf( $equal(multiply(X_126,identity),X_126) )],[refute_0_2607,refute_0_2610]) ).
cnf(refute_0_2612,plain,
( inverse(multiply(X_126,identity)) != multiply(least_upper_bound(X_99,X_100),inverse(multiply(X_126,least_upper_bound(X_100,X_99))))
| inverse(multiply(X_126,identity)) != inverse(X_126)
| inverse(X_126) = multiply(least_upper_bound(X_99,X_100),inverse(multiply(X_126,least_upper_bound(X_100,X_99)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_126,identity)),multiply(least_upper_bound(X_99,X_100),inverse(multiply(X_126,least_upper_bound(X_100,X_99))))) ),[0],$fot(inverse(X_126))]]) ).
cnf(refute_0_2613,plain,
( inverse(multiply(X_126,identity)) != multiply(least_upper_bound(X_99,X_100),inverse(multiply(X_126,least_upper_bound(X_100,X_99))))
| inverse(X_126) = multiply(least_upper_bound(X_99,X_100),inverse(multiply(X_126,least_upper_bound(X_100,X_99)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_126,identity)),inverse(X_126)) )],[refute_0_2611,refute_0_2612]) ).
cnf(refute_0_2614,plain,
inverse(X_126) = multiply(least_upper_bound(X_99,X_100),inverse(multiply(X_126,least_upper_bound(X_100,X_99)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_126,identity)),multiply(least_upper_bound(X_99,X_100),inverse(multiply(X_126,least_upper_bound(X_100,X_99))))) )],[refute_0_2606,refute_0_2613]) ).
cnf(refute_0_2615,plain,
inverse(inverse(multiply(least_upper_bound(X_345,X_347),X_59))) = multiply(least_upper_bound(X_347,X_345),inverse(multiply(inverse(multiply(least_upper_bound(X_345,X_347),X_59)),least_upper_bound(X_345,X_347)))),
inference(subst,[],[refute_0_2614:[bind(X_100,$fot(X_345)),bind(X_126,$fot(inverse(multiply(least_upper_bound(X_345,X_347),X_59)))),bind(X_99,$fot(X_347))]]) ).
cnf(refute_0_2616,plain,
inverse(X_59) = multiply(inverse(multiply(least_upper_bound(X_345,X_347),X_59)),least_upper_bound(X_345,X_347)),
inference(subst,[],[refute_0_106:[bind(X_58,$fot(least_upper_bound(X_345,X_347)))]]) ).
cnf(refute_0_2617,plain,
( inverse(X_59) != multiply(inverse(multiply(least_upper_bound(X_345,X_347),X_59)),least_upper_bound(X_345,X_347))
| multiply(inverse(multiply(least_upper_bound(X_345,X_347),X_59)),least_upper_bound(X_345,X_347)) = inverse(X_59) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(X_59))),bind(Y0,$fot(multiply(inverse(multiply(least_upper_bound(X_345,X_347),X_59)),least_upper_bound(X_345,X_347))))]]) ).
cnf(refute_0_2618,plain,
multiply(inverse(multiply(least_upper_bound(X_345,X_347),X_59)),least_upper_bound(X_345,X_347)) = inverse(X_59),
inference(resolve,[$cnf( $equal(inverse(X_59),multiply(inverse(multiply(least_upper_bound(X_345,X_347),X_59)),least_upper_bound(X_345,X_347))) )],[refute_0_2616,refute_0_2617]) ).
cnf(refute_0_2619,plain,
( multiply(inverse(multiply(least_upper_bound(X_345,X_347),X_59)),least_upper_bound(X_345,X_347)) != inverse(X_59)
| inverse(inverse(multiply(least_upper_bound(X_345,X_347),X_59))) != multiply(least_upper_bound(X_347,X_345),inverse(multiply(inverse(multiply(least_upper_bound(X_345,X_347),X_59)),least_upper_bound(X_345,X_347))))
| inverse(inverse(multiply(least_upper_bound(X_345,X_347),X_59))) = multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(least_upper_bound(X_345,X_347),X_59))),multiply(least_upper_bound(X_347,X_345),inverse(multiply(inverse(multiply(least_upper_bound(X_345,X_347),X_59)),least_upper_bound(X_345,X_347))))) ),[1,1,0],$fot(inverse(X_59))]]) ).
cnf(refute_0_2620,plain,
( inverse(inverse(multiply(least_upper_bound(X_345,X_347),X_59))) != multiply(least_upper_bound(X_347,X_345),inverse(multiply(inverse(multiply(least_upper_bound(X_345,X_347),X_59)),least_upper_bound(X_345,X_347))))
| inverse(inverse(multiply(least_upper_bound(X_345,X_347),X_59))) = multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(least_upper_bound(X_345,X_347),X_59)),least_upper_bound(X_345,X_347)),inverse(X_59)) )],[refute_0_2618,refute_0_2619]) ).
cnf(refute_0_2621,plain,
inverse(inverse(multiply(least_upper_bound(X_345,X_347),X_59))) = multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(least_upper_bound(X_345,X_347),X_59))),multiply(least_upper_bound(X_347,X_345),inverse(multiply(inverse(multiply(least_upper_bound(X_345,X_347),X_59)),least_upper_bound(X_345,X_347))))) )],[refute_0_2615,refute_0_2620]) ).
cnf(refute_0_2622,plain,
inverse(inverse(multiply(least_upper_bound(X_345,X_347),X_59))) = multiply(least_upper_bound(X_345,X_347),X_59),
inference(subst,[],[p20_2:[bind(X,$fot(multiply(least_upper_bound(X_345,X_347),X_59)))]]) ).
cnf(refute_0_2623,plain,
( inverse(inverse(multiply(least_upper_bound(X_345,X_347),X_59))) != multiply(least_upper_bound(X_345,X_347),X_59)
| inverse(inverse(multiply(least_upper_bound(X_345,X_347),X_59))) != multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59)))
| multiply(least_upper_bound(X_345,X_347),X_59) = multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(least_upper_bound(X_345,X_347),X_59))),multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59)))) ),[0],$fot(multiply(least_upper_bound(X_345,X_347),X_59))]]) ).
cnf(refute_0_2624,plain,
( inverse(inverse(multiply(least_upper_bound(X_345,X_347),X_59))) != multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59)))
| multiply(least_upper_bound(X_345,X_347),X_59) = multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(least_upper_bound(X_345,X_347),X_59))),multiply(least_upper_bound(X_345,X_347),X_59)) )],[refute_0_2622,refute_0_2623]) ).
cnf(refute_0_2625,plain,
inverse(inverse(X_59)) = X_59,
inference(subst,[],[p20_2:[bind(X,$fot(X_59))]]) ).
cnf(refute_0_2626,plain,
multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59))) = multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59))),
introduced(tautology,[refl,[$fot(multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59))))]]) ).
cnf(refute_0_2627,plain,
( multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59))) != multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59)))
| inverse(inverse(X_59)) != X_59
| multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59))) = multiply(least_upper_bound(X_347,X_345),X_59) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59))),multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59)))) ),[1,1],$fot(X_59)]]) ).
cnf(refute_0_2628,plain,
( inverse(inverse(X_59)) != X_59
| multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59))) = multiply(least_upper_bound(X_347,X_345),X_59) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59))),multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59)))) )],[refute_0_2626,refute_0_2627]) ).
cnf(refute_0_2629,plain,
multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59))) = multiply(least_upper_bound(X_347,X_345),X_59),
inference(resolve,[$cnf( $equal(inverse(inverse(X_59)),X_59) )],[refute_0_2625,refute_0_2628]) ).
cnf(refute_0_2630,plain,
( multiply(least_upper_bound(X_345,X_347),X_59) != multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59)))
| multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59))) != multiply(least_upper_bound(X_347,X_345),X_59)
| multiply(least_upper_bound(X_345,X_347),X_59) = multiply(least_upper_bound(X_347,X_345),X_59) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(least_upper_bound(X_345,X_347),X_59),multiply(least_upper_bound(X_347,X_345),X_59)) ),[0],$fot(multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59))))]]) ).
cnf(refute_0_2631,plain,
( multiply(least_upper_bound(X_345,X_347),X_59) != multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59)))
| multiply(least_upper_bound(X_345,X_347),X_59) = multiply(least_upper_bound(X_347,X_345),X_59) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59))),multiply(least_upper_bound(X_347,X_345),X_59)) )],[refute_0_2629,refute_0_2630]) ).
cnf(refute_0_2632,plain,
( inverse(inverse(multiply(least_upper_bound(X_345,X_347),X_59))) != multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59)))
| multiply(least_upper_bound(X_345,X_347),X_59) = multiply(least_upper_bound(X_347,X_345),X_59) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_345,X_347),X_59),multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59)))) )],[refute_0_2624,refute_0_2631]) ).
cnf(refute_0_2633,plain,
multiply(least_upper_bound(X_345,X_347),X_59) = multiply(least_upper_bound(X_347,X_345),X_59),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(least_upper_bound(X_345,X_347),X_59))),multiply(least_upper_bound(X_347,X_345),inverse(inverse(X_59)))) )],[refute_0_2621,refute_0_2632]) ).
cnf(refute_0_2634,plain,
( multiply(least_upper_bound(X_345,X_347),X_59) != multiply(least_upper_bound(X_347,X_345),X_59)
| multiply(least_upper_bound(X_347,X_345),X_59) = multiply(least_upper_bound(X_345,X_347),X_59) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(least_upper_bound(X_345,X_347),X_59))),bind(Y0,$fot(multiply(least_upper_bound(X_347,X_345),X_59)))]]) ).
cnf(refute_0_2635,plain,
multiply(least_upper_bound(X_347,X_345),X_59) = multiply(least_upper_bound(X_345,X_347),X_59),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_345,X_347),X_59),multiply(least_upper_bound(X_347,X_345),X_59)) )],[refute_0_2633,refute_0_2634]) ).
cnf(refute_0_2636,plain,
multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) = multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))),
inference(subst,[],[refute_0_2635:[bind(X_345,$fot(inverse(X_85))),bind(X_347,$fot(inverse(greatest_lower_bound(X_85,X_86)))),bind(X_59,$fot(inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))))]]) ).
cnf(refute_0_2637,plain,
( multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) != least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86)))
| multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) != multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))))
| multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) = least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))))),bind(Y0,$fot(multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))))),bind(Z0,$fot(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86)))))]]) ).
cnf(refute_0_2638,plain,
( multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) != least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86)))
| multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) = least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))),multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))))) )],[refute_0_2636,refute_0_2637]) ).
cnf(refute_0_2639,plain,
multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) = least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))),least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86)))) )],[refute_0_2585,refute_0_2638]) ).
cnf(refute_0_2640,plain,
( multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))) != least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86)))
| inverse(greatest_lower_bound(X_85,X_86)) != multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))))
| inverse(greatest_lower_bound(X_85,X_86)) = least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(X_85,X_86)),multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))))) ),[1],$fot(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))))]]) ).
cnf(refute_0_2641,plain,
( inverse(greatest_lower_bound(X_85,X_86)) != multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))))
| inverse(greatest_lower_bound(X_85,X_86)) = least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85)))))),least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86)))) )],[refute_0_2639,refute_0_2640]) ).
cnf(refute_0_2642,plain,
inverse(greatest_lower_bound(X_85,X_86)) = least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_85,X_86)),multiply(least_upper_bound(inverse(greatest_lower_bound(X_85,X_86)),inverse(X_85)),inverse(least_upper_bound(identity,greatest_lower_bound(identity,multiply(X_86,inverse(X_85))))))) )],[refute_0_2569,refute_0_2641]) ).
cnf(refute_0_2643,plain,
( inverse(greatest_lower_bound(X_85,X_86)) != least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86)))
| least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))) = inverse(greatest_lower_bound(X_85,X_86)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(greatest_lower_bound(X_85,X_86)))),bind(Y0,$fot(least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86)))))]]) ).
cnf(refute_0_2644,plain,
least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86))) = inverse(greatest_lower_bound(X_85,X_86)),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_85,X_86)),least_upper_bound(inverse(X_85),inverse(greatest_lower_bound(X_85,X_86)))) )],[refute_0_2642,refute_0_2643]) ).
cnf(refute_0_2645,plain,
least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))) = inverse(greatest_lower_bound(X_23,X)),
inference(subst,[],[refute_0_2644:[bind(X_85,$fot(X_23)),bind(X_86,$fot(X))]]) ).
cnf(refute_0_2646,plain,
multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X) = multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X),
introduced(tautology,[refl,[$fot(multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X))]]) ).
cnf(refute_0_2647,plain,
( multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X) != multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X)
| least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))) != inverse(greatest_lower_bound(X_23,X))
| multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X) = multiply(inverse(greatest_lower_bound(X_23,X)),X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X),multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X)) ),[1,0],$fot(inverse(greatest_lower_bound(X_23,X)))]]) ).
cnf(refute_0_2648,plain,
( least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))) != inverse(greatest_lower_bound(X_23,X))
| multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X) = multiply(inverse(greatest_lower_bound(X_23,X)),X) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X),multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X)) )],[refute_0_2646,refute_0_2647]) ).
cnf(refute_0_2649,plain,
multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X) = multiply(inverse(greatest_lower_bound(X_23,X)),X),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),inverse(greatest_lower_bound(X_23,X))) )],[refute_0_2645,refute_0_2648]) ).
cnf(refute_0_2650,plain,
( multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X) != multiply(inverse(greatest_lower_bound(X_23,X)),X)
| multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X) != inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))
| multiply(inverse(greatest_lower_bound(X_23,X)),X) = inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))) ),[0],$fot(multiply(inverse(greatest_lower_bound(X_23,X)),X))]]) ).
cnf(refute_0_2651,plain,
( multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X) != inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))
| multiply(inverse(greatest_lower_bound(X_23,X)),X) = inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X),multiply(inverse(greatest_lower_bound(X_23,X)),X)) )],[refute_0_2649,refute_0_2650]) ).
cnf(refute_0_2652,plain,
multiply(inverse(greatest_lower_bound(X_23,X)),X) = inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(inverse(X_23),inverse(greatest_lower_bound(X_23,X))),X),inverse(greatest_lower_bound(identity,multiply(inverse(X),X_23)))) )],[refute_0_2555,refute_0_2651]) ).
cnf(refute_0_2653,plain,
multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),
inference(subst,[],[refute_0_2652:[bind(X,$fot(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),bind(X_23,$fot(identity))]]) ).
cnf(refute_0_2654,plain,
( multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))
| inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))) != inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))
| multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))),bind(Y0,$fot(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))))),bind(Z0,$fot(inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))))]]) ).
cnf(refute_0_2655,plain,
( inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))) != inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))
| multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))) )],[refute_0_2653,refute_0_2654]) ).
cnf(refute_0_2656,plain,
multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))) )],[refute_0_2169,refute_0_2655]) ).
cnf(refute_0_2657,plain,
( multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))
| multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) = least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) ),[0],$fot(inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))))]]) ).
cnf(refute_0_2658,plain,
( multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) = least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))) )],[refute_0_2656,refute_0_2657]) ).
cnf(refute_0_2659,plain,
multiply(identity,identity) = identity,
inference(subst,[],[refute_0_573:[bind(X,$fot(identity))]]) ).
cnf(refute_0_2660,plain,
least_upper_bound(identity,greatest_lower_bound(X_618,identity)) = identity,
inference(subst,[],[refute_0_427:[bind(X_10,$fot(identity)),bind(X_11,$fot(X_618))]]) ).
cnf(refute_0_2661,plain,
multiply(least_upper_bound(identity,greatest_lower_bound(X_618,identity)),identity) = least_upper_bound(identity,greatest_lower_bound(X_618,identity)),
inference(subst,[],[refute_0_573:[bind(X,$fot(least_upper_bound(identity,greatest_lower_bound(X_618,identity))))]]) ).
cnf(refute_0_2662,plain,
( multiply(least_upper_bound(identity,greatest_lower_bound(X_618,identity)),identity) != least_upper_bound(identity,greatest_lower_bound(X_618,identity))
| least_upper_bound(identity,greatest_lower_bound(X_618,identity)) != identity
| multiply(least_upper_bound(identity,greatest_lower_bound(X_618,identity)),identity) = identity ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(least_upper_bound(identity,greatest_lower_bound(X_618,identity)),identity))),bind(Y0,$fot(least_upper_bound(identity,greatest_lower_bound(X_618,identity)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_2663,plain,
( least_upper_bound(identity,greatest_lower_bound(X_618,identity)) != identity
| multiply(least_upper_bound(identity,greatest_lower_bound(X_618,identity)),identity) = identity ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,greatest_lower_bound(X_618,identity)),identity),least_upper_bound(identity,greatest_lower_bound(X_618,identity))) )],[refute_0_2661,refute_0_2662]) ).
cnf(refute_0_2664,plain,
multiply(least_upper_bound(identity,greatest_lower_bound(X_618,identity)),identity) = identity,
inference(resolve,[$cnf( $equal(least_upper_bound(identity,greatest_lower_bound(X_618,identity)),identity) )],[refute_0_2660,refute_0_2663]) ).
cnf(refute_0_2665,plain,
multiply(least_upper_bound(X_139,greatest_lower_bound(X_613,identity)),X_138) = multiply(least_upper_bound(greatest_lower_bound(X_613,identity),X_139),X_138),
inference(subst,[],[refute_0_646:[bind(X_140,$fot(greatest_lower_bound(X_613,identity)))]]) ).
cnf(refute_0_2666,plain,
least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610) = multiply(least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610),identity),
inference(subst,[],[refute_0_19:[bind(X,$fot(least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610)))]]) ).
cnf(refute_0_2667,plain,
multiply(least_upper_bound(greatest_lower_bound(X_85,inverse(X_138)),X_140),X_138) = least_upper_bound(multiply(greatest_lower_bound(X_85,inverse(X_138)),X_138),multiply(X_140,X_138)),
inference(subst,[],[monotony_lub2:[bind(X,$fot(X_138)),bind(Y,$fot(greatest_lower_bound(X_85,inverse(X_138)))),bind(Z,$fot(X_140))]]) ).
cnf(refute_0_2668,plain,
multiply(greatest_lower_bound(X_85,inverse(X_84)),X_84) = greatest_lower_bound(multiply(X_85,X_84),multiply(inverse(X_84),X_84)),
inference(subst,[],[monotony_glb2:[bind(X,$fot(X_84)),bind(Y,$fot(X_85)),bind(Z,$fot(inverse(X_84)))]]) ).
cnf(refute_0_2669,plain,
( multiply(greatest_lower_bound(X_85,inverse(X_84)),X_84) != greatest_lower_bound(multiply(X_85,X_84),multiply(inverse(X_84),X_84))
| multiply(inverse(X_84),X_84) != identity
| multiply(greatest_lower_bound(X_85,inverse(X_84)),X_84) = greatest_lower_bound(multiply(X_85,X_84),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(X_85,inverse(X_84)),X_84),greatest_lower_bound(multiply(X_85,X_84),multiply(inverse(X_84),X_84))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_2670,plain,
( multiply(greatest_lower_bound(X_85,inverse(X_84)),X_84) != greatest_lower_bound(multiply(X_85,X_84),multiply(inverse(X_84),X_84))
| multiply(greatest_lower_bound(X_85,inverse(X_84)),X_84) = greatest_lower_bound(multiply(X_85,X_84),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_84),X_84),identity) )],[refute_0_676,refute_0_2669]) ).
cnf(refute_0_2671,plain,
multiply(greatest_lower_bound(X_85,inverse(X_84)),X_84) = greatest_lower_bound(multiply(X_85,X_84),identity),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_85,inverse(X_84)),X_84),greatest_lower_bound(multiply(X_85,X_84),multiply(inverse(X_84),X_84))) )],[refute_0_2668,refute_0_2670]) ).
cnf(refute_0_2672,plain,
greatest_lower_bound(multiply(X_85,X_84),identity) = greatest_lower_bound(identity,multiply(X_85,X_84)),
inference(subst,[],[refute_0_30:[bind(X,$fot(identity)),bind(Y,$fot(multiply(X_85,X_84)))]]) ).
cnf(refute_0_2673,plain,
( multiply(greatest_lower_bound(X_85,inverse(X_84)),X_84) != greatest_lower_bound(multiply(X_85,X_84),identity)
| greatest_lower_bound(multiply(X_85,X_84),identity) != greatest_lower_bound(identity,multiply(X_85,X_84))
| multiply(greatest_lower_bound(X_85,inverse(X_84)),X_84) = greatest_lower_bound(identity,multiply(X_85,X_84)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(greatest_lower_bound(X_85,inverse(X_84)),X_84),greatest_lower_bound(identity,multiply(X_85,X_84))) ),[0],$fot(greatest_lower_bound(multiply(X_85,X_84),identity))]]) ).
cnf(refute_0_2674,plain,
( multiply(greatest_lower_bound(X_85,inverse(X_84)),X_84) != greatest_lower_bound(multiply(X_85,X_84),identity)
| multiply(greatest_lower_bound(X_85,inverse(X_84)),X_84) = greatest_lower_bound(identity,multiply(X_85,X_84)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_85,X_84),identity),greatest_lower_bound(identity,multiply(X_85,X_84))) )],[refute_0_2672,refute_0_2673]) ).
cnf(refute_0_2675,plain,
multiply(greatest_lower_bound(X_85,inverse(X_84)),X_84) = greatest_lower_bound(identity,multiply(X_85,X_84)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_85,inverse(X_84)),X_84),greatest_lower_bound(multiply(X_85,X_84),identity)) )],[refute_0_2671,refute_0_2674]) ).
cnf(refute_0_2676,plain,
multiply(greatest_lower_bound(X_85,inverse(X_138)),X_138) = greatest_lower_bound(identity,multiply(X_85,X_138)),
inference(subst,[],[refute_0_2675:[bind(X_84,$fot(X_138))]]) ).
cnf(refute_0_2677,plain,
( multiply(greatest_lower_bound(X_85,inverse(X_138)),X_138) != greatest_lower_bound(identity,multiply(X_85,X_138))
| multiply(least_upper_bound(greatest_lower_bound(X_85,inverse(X_138)),X_140),X_138) != least_upper_bound(multiply(greatest_lower_bound(X_85,inverse(X_138)),X_138),multiply(X_140,X_138))
| multiply(least_upper_bound(greatest_lower_bound(X_85,inverse(X_138)),X_140),X_138) = least_upper_bound(greatest_lower_bound(identity,multiply(X_85,X_138)),multiply(X_140,X_138)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(X_85,inverse(X_138)),X_140),X_138),least_upper_bound(multiply(greatest_lower_bound(X_85,inverse(X_138)),X_138),multiply(X_140,X_138))) ),[1,0],$fot(greatest_lower_bound(identity,multiply(X_85,X_138)))]]) ).
cnf(refute_0_2678,plain,
( multiply(least_upper_bound(greatest_lower_bound(X_85,inverse(X_138)),X_140),X_138) != least_upper_bound(multiply(greatest_lower_bound(X_85,inverse(X_138)),X_138),multiply(X_140,X_138))
| multiply(least_upper_bound(greatest_lower_bound(X_85,inverse(X_138)),X_140),X_138) = least_upper_bound(greatest_lower_bound(identity,multiply(X_85,X_138)),multiply(X_140,X_138)) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_85,inverse(X_138)),X_138),greatest_lower_bound(identity,multiply(X_85,X_138))) )],[refute_0_2676,refute_0_2677]) ).
cnf(refute_0_2679,plain,
multiply(least_upper_bound(greatest_lower_bound(X_85,inverse(X_138)),X_140),X_138) = least_upper_bound(greatest_lower_bound(identity,multiply(X_85,X_138)),multiply(X_140,X_138)),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(X_85,inverse(X_138)),X_140),X_138),least_upper_bound(multiply(greatest_lower_bound(X_85,inverse(X_138)),X_138),multiply(X_140,X_138))) )],[refute_0_2667,refute_0_2678]) ).
cnf(refute_0_2680,plain,
multiply(least_upper_bound(greatest_lower_bound(inverse(X_138),X_86),X_140),X_138) = least_upper_bound(multiply(greatest_lower_bound(inverse(X_138),X_86),X_138),multiply(X_140,X_138)),
inference(subst,[],[monotony_lub2:[bind(X,$fot(X_138)),bind(Y,$fot(greatest_lower_bound(inverse(X_138),X_86))),bind(Z,$fot(X_140))]]) ).
cnf(refute_0_2681,plain,
multiply(greatest_lower_bound(inverse(X_138),X_86),X_138) = greatest_lower_bound(identity,multiply(X_86,X_138)),
inference(subst,[],[refute_0_679:[bind(X_84,$fot(X_138))]]) ).
cnf(refute_0_2682,plain,
( multiply(greatest_lower_bound(inverse(X_138),X_86),X_138) != greatest_lower_bound(identity,multiply(X_86,X_138))
| multiply(least_upper_bound(greatest_lower_bound(inverse(X_138),X_86),X_140),X_138) != least_upper_bound(multiply(greatest_lower_bound(inverse(X_138),X_86),X_138),multiply(X_140,X_138))
| multiply(least_upper_bound(greatest_lower_bound(inverse(X_138),X_86),X_140),X_138) = least_upper_bound(greatest_lower_bound(identity,multiply(X_86,X_138)),multiply(X_140,X_138)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(inverse(X_138),X_86),X_140),X_138),least_upper_bound(multiply(greatest_lower_bound(inverse(X_138),X_86),X_138),multiply(X_140,X_138))) ),[1,0],$fot(greatest_lower_bound(identity,multiply(X_86,X_138)))]]) ).
cnf(refute_0_2683,plain,
( multiply(least_upper_bound(greatest_lower_bound(inverse(X_138),X_86),X_140),X_138) != least_upper_bound(multiply(greatest_lower_bound(inverse(X_138),X_86),X_138),multiply(X_140,X_138))
| multiply(least_upper_bound(greatest_lower_bound(inverse(X_138),X_86),X_140),X_138) = least_upper_bound(greatest_lower_bound(identity,multiply(X_86,X_138)),multiply(X_140,X_138)) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(inverse(X_138),X_86),X_138),greatest_lower_bound(identity,multiply(X_86,X_138))) )],[refute_0_2681,refute_0_2682]) ).
cnf(refute_0_2684,plain,
multiply(least_upper_bound(greatest_lower_bound(inverse(X_138),X_86),X_140),X_138) = least_upper_bound(greatest_lower_bound(identity,multiply(X_86,X_138)),multiply(X_140,X_138)),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(inverse(X_138),X_86),X_140),X_138),least_upper_bound(multiply(greatest_lower_bound(inverse(X_138),X_86),X_138),multiply(X_140,X_138))) )],[refute_0_2680,refute_0_2683]) ).
cnf(refute_0_2685,plain,
( multiply(least_upper_bound(greatest_lower_bound(inverse(X_138),X_86),X_140),X_138) != least_upper_bound(greatest_lower_bound(identity,multiply(X_86,X_138)),multiply(X_140,X_138))
| least_upper_bound(greatest_lower_bound(identity,multiply(X_86,X_138)),multiply(X_140,X_138)) = multiply(least_upper_bound(greatest_lower_bound(inverse(X_138),X_86),X_140),X_138) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(least_upper_bound(greatest_lower_bound(inverse(X_138),X_86),X_140),X_138))),bind(Y0,$fot(least_upper_bound(greatest_lower_bound(identity,multiply(X_86,X_138)),multiply(X_140,X_138))))]]) ).
cnf(refute_0_2686,plain,
least_upper_bound(greatest_lower_bound(identity,multiply(X_86,X_138)),multiply(X_140,X_138)) = multiply(least_upper_bound(greatest_lower_bound(inverse(X_138),X_86),X_140),X_138),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(inverse(X_138),X_86),X_140),X_138),least_upper_bound(greatest_lower_bound(identity,multiply(X_86,X_138)),multiply(X_140,X_138))) )],[refute_0_2684,refute_0_2685]) ).
cnf(refute_0_2687,plain,
least_upper_bound(greatest_lower_bound(identity,multiply(X_85,X_138)),multiply(X_140,X_138)) = multiply(least_upper_bound(greatest_lower_bound(inverse(X_138),X_85),X_140),X_138),
inference(subst,[],[refute_0_2686:[bind(X_86,$fot(X_85))]]) ).
cnf(refute_0_2688,plain,
( multiply(least_upper_bound(greatest_lower_bound(X_85,inverse(X_138)),X_140),X_138) != least_upper_bound(greatest_lower_bound(identity,multiply(X_85,X_138)),multiply(X_140,X_138))
| least_upper_bound(greatest_lower_bound(identity,multiply(X_85,X_138)),multiply(X_140,X_138)) != multiply(least_upper_bound(greatest_lower_bound(inverse(X_138),X_85),X_140),X_138)
| multiply(least_upper_bound(greatest_lower_bound(X_85,inverse(X_138)),X_140),X_138) = multiply(least_upper_bound(greatest_lower_bound(inverse(X_138),X_85),X_140),X_138) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(least_upper_bound(greatest_lower_bound(X_85,inverse(X_138)),X_140),X_138),multiply(least_upper_bound(greatest_lower_bound(inverse(X_138),X_85),X_140),X_138)) ),[0],$fot(least_upper_bound(greatest_lower_bound(identity,multiply(X_85,X_138)),multiply(X_140,X_138)))]]) ).
cnf(refute_0_2689,plain,
( multiply(least_upper_bound(greatest_lower_bound(X_85,inverse(X_138)),X_140),X_138) != least_upper_bound(greatest_lower_bound(identity,multiply(X_85,X_138)),multiply(X_140,X_138))
| multiply(least_upper_bound(greatest_lower_bound(X_85,inverse(X_138)),X_140),X_138) = multiply(least_upper_bound(greatest_lower_bound(inverse(X_138),X_85),X_140),X_138) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,multiply(X_85,X_138)),multiply(X_140,X_138)),multiply(least_upper_bound(greatest_lower_bound(inverse(X_138),X_85),X_140),X_138)) )],[refute_0_2687,refute_0_2688]) ).
cnf(refute_0_2690,plain,
multiply(least_upper_bound(greatest_lower_bound(X_85,inverse(X_138)),X_140),X_138) = multiply(least_upper_bound(greatest_lower_bound(inverse(X_138),X_85),X_140),X_138),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(X_85,inverse(X_138)),X_140),X_138),least_upper_bound(greatest_lower_bound(identity,multiply(X_85,X_138)),multiply(X_140,X_138))) )],[refute_0_2679,refute_0_2689]) ).
cnf(refute_0_2691,plain,
multiply(least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610),identity) = multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity),
inference(subst,[],[refute_0_2690:[bind(X_138,$fot(identity)),bind(X_140,$fot(X_610)),bind(X_85,$fot(X_611))]]) ).
cnf(refute_0_2692,plain,
( multiply(least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610),identity) != multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity)
| least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610) != multiply(least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610),identity)
| least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610) = multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610),multiply(least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610),identity)) ),[1],$fot(multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity))]]) ).
cnf(refute_0_2693,plain,
( least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610) != multiply(least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610),identity)
| least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610) = multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610),identity),multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity)) )],[refute_0_2691,refute_0_2692]) ).
cnf(refute_0_2694,plain,
least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610) = multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610),multiply(least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610),identity)) )],[refute_0_2666,refute_0_2693]) ).
cnf(refute_0_2695,plain,
greatest_lower_bound(X_611,inverse(identity)) = greatest_lower_bound(X_611,inverse(identity)),
introduced(tautology,[refl,[$fot(greatest_lower_bound(X_611,inverse(identity)))]]) ).
cnf(refute_0_2696,plain,
( greatest_lower_bound(X_611,inverse(identity)) != greatest_lower_bound(X_611,inverse(identity))
| inverse(identity) != identity
| greatest_lower_bound(X_611,inverse(identity)) = greatest_lower_bound(X_611,identity) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_611,inverse(identity)),greatest_lower_bound(X_611,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_2697,plain,
( inverse(identity) != identity
| greatest_lower_bound(X_611,inverse(identity)) = greatest_lower_bound(X_611,identity) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_611,inverse(identity)),greatest_lower_bound(X_611,inverse(identity))) )],[refute_0_2695,refute_0_2696]) ).
cnf(refute_0_2698,plain,
greatest_lower_bound(X_611,inverse(identity)) = greatest_lower_bound(X_611,identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[p20_1,refute_0_2697]) ).
cnf(refute_0_2699,plain,
least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610) = least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610),
introduced(tautology,[refl,[$fot(least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610))]]) ).
cnf(refute_0_2700,plain,
( greatest_lower_bound(X_611,inverse(identity)) != greatest_lower_bound(X_611,identity)
| least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610) != least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610)
| least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610) = least_upper_bound(greatest_lower_bound(X_611,identity),X_610) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610),least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610)) ),[1,0],$fot(greatest_lower_bound(X_611,identity))]]) ).
cnf(refute_0_2701,plain,
( greatest_lower_bound(X_611,inverse(identity)) != greatest_lower_bound(X_611,identity)
| least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610) = least_upper_bound(greatest_lower_bound(X_611,identity),X_610) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610),least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610)) )],[refute_0_2699,refute_0_2700]) ).
cnf(refute_0_2702,plain,
least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610) = least_upper_bound(greatest_lower_bound(X_611,identity),X_610),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_611,inverse(identity)),greatest_lower_bound(X_611,identity)) )],[refute_0_2698,refute_0_2701]) ).
cnf(refute_0_2703,plain,
( least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610) != multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity)
| least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610) != least_upper_bound(greatest_lower_bound(X_611,identity),X_610)
| least_upper_bound(greatest_lower_bound(X_611,identity),X_610) = multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610),multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity)) ),[0],$fot(least_upper_bound(greatest_lower_bound(X_611,identity),X_610))]]) ).
cnf(refute_0_2704,plain,
( least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610) != multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity)
| least_upper_bound(greatest_lower_bound(X_611,identity),X_610) = multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610),least_upper_bound(greatest_lower_bound(X_611,identity),X_610)) )],[refute_0_2702,refute_0_2703]) ).
cnf(refute_0_2705,plain,
greatest_lower_bound(inverse(identity),X_611) = greatest_lower_bound(inverse(identity),X_611),
introduced(tautology,[refl,[$fot(greatest_lower_bound(inverse(identity),X_611))]]) ).
cnf(refute_0_2706,plain,
( greatest_lower_bound(inverse(identity),X_611) != greatest_lower_bound(inverse(identity),X_611)
| inverse(identity) != identity
| greatest_lower_bound(inverse(identity),X_611) = greatest_lower_bound(identity,X_611) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(inverse(identity),X_611),greatest_lower_bound(inverse(identity),X_611)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_2707,plain,
( inverse(identity) != identity
| greatest_lower_bound(inverse(identity),X_611) = greatest_lower_bound(identity,X_611) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(identity),X_611),greatest_lower_bound(inverse(identity),X_611)) )],[refute_0_2705,refute_0_2706]) ).
cnf(refute_0_2708,plain,
greatest_lower_bound(inverse(identity),X_611) = greatest_lower_bound(identity,X_611),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[p20_1,refute_0_2707]) ).
cnf(refute_0_2709,plain,
least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610) = least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),
introduced(tautology,[refl,[$fot(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610))]]) ).
cnf(refute_0_2710,plain,
( greatest_lower_bound(inverse(identity),X_611) != greatest_lower_bound(identity,X_611)
| least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610) != least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610)
| least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610) = least_upper_bound(greatest_lower_bound(identity,X_611),X_610) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610)) ),[1,0],$fot(greatest_lower_bound(identity,X_611))]]) ).
cnf(refute_0_2711,plain,
( greatest_lower_bound(inverse(identity),X_611) != greatest_lower_bound(identity,X_611)
| least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610) = least_upper_bound(greatest_lower_bound(identity,X_611),X_610) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610)) )],[refute_0_2709,refute_0_2710]) ).
cnf(refute_0_2712,plain,
least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610) = least_upper_bound(greatest_lower_bound(identity,X_611),X_610),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(identity),X_611),greatest_lower_bound(identity,X_611)) )],[refute_0_2708,refute_0_2711]) ).
cnf(refute_0_2713,plain,
multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity) = least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),
inference(subst,[],[refute_0_573:[bind(X,$fot(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610)))]]) ).
cnf(refute_0_2714,plain,
( multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity) != least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610)
| least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610) != least_upper_bound(greatest_lower_bound(identity,X_611),X_610)
| multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity) = least_upper_bound(greatest_lower_bound(identity,X_611),X_610) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity))),bind(Y0,$fot(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610))),bind(Z0,$fot(least_upper_bound(greatest_lower_bound(identity,X_611),X_610)))]]) ).
cnf(refute_0_2715,plain,
( least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610) != least_upper_bound(greatest_lower_bound(identity,X_611),X_610)
| multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity) = least_upper_bound(greatest_lower_bound(identity,X_611),X_610) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity),least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610)) )],[refute_0_2713,refute_0_2714]) ).
cnf(refute_0_2716,plain,
multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity) = least_upper_bound(greatest_lower_bound(identity,X_611),X_610),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),least_upper_bound(greatest_lower_bound(identity,X_611),X_610)) )],[refute_0_2712,refute_0_2715]) ).
cnf(refute_0_2717,plain,
( multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity) != least_upper_bound(greatest_lower_bound(identity,X_611),X_610)
| least_upper_bound(greatest_lower_bound(X_611,identity),X_610) != multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity)
| least_upper_bound(greatest_lower_bound(X_611,identity),X_610) = least_upper_bound(greatest_lower_bound(identity,X_611),X_610) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_611,identity),X_610),multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity)) ),[1],$fot(least_upper_bound(greatest_lower_bound(identity,X_611),X_610))]]) ).
cnf(refute_0_2718,plain,
( least_upper_bound(greatest_lower_bound(X_611,identity),X_610) != multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity)
| least_upper_bound(greatest_lower_bound(X_611,identity),X_610) = least_upper_bound(greatest_lower_bound(identity,X_611),X_610) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity),least_upper_bound(greatest_lower_bound(identity,X_611),X_610)) )],[refute_0_2716,refute_0_2717]) ).
cnf(refute_0_2719,plain,
( least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610) != multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity)
| least_upper_bound(greatest_lower_bound(X_611,identity),X_610) = least_upper_bound(greatest_lower_bound(identity,X_611),X_610) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_611,identity),X_610),multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity)) )],[refute_0_2704,refute_0_2718]) ).
cnf(refute_0_2720,plain,
least_upper_bound(greatest_lower_bound(X_611,identity),X_610) = least_upper_bound(greatest_lower_bound(identity,X_611),X_610),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_611,inverse(identity)),X_610),multiply(least_upper_bound(greatest_lower_bound(inverse(identity),X_611),X_610),identity)) )],[refute_0_2694,refute_0_2719]) ).
cnf(refute_0_2721,plain,
least_upper_bound(greatest_lower_bound(X_613,identity),X_139) = least_upper_bound(greatest_lower_bound(identity,X_613),X_139),
inference(subst,[],[refute_0_2720:[bind(X_610,$fot(X_139)),bind(X_611,$fot(X_613))]]) ).
cnf(refute_0_2722,plain,
( multiply(least_upper_bound(X_139,greatest_lower_bound(X_613,identity)),X_138) != multiply(least_upper_bound(greatest_lower_bound(X_613,identity),X_139),X_138)
| least_upper_bound(greatest_lower_bound(X_613,identity),X_139) != least_upper_bound(greatest_lower_bound(identity,X_613),X_139)
| multiply(least_upper_bound(X_139,greatest_lower_bound(X_613,identity)),X_138) = multiply(least_upper_bound(greatest_lower_bound(identity,X_613),X_139),X_138) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_139,greatest_lower_bound(X_613,identity)),X_138),multiply(least_upper_bound(greatest_lower_bound(X_613,identity),X_139),X_138)) ),[1,0],$fot(least_upper_bound(greatest_lower_bound(identity,X_613),X_139))]]) ).
cnf(refute_0_2723,plain,
( multiply(least_upper_bound(X_139,greatest_lower_bound(X_613,identity)),X_138) != multiply(least_upper_bound(greatest_lower_bound(X_613,identity),X_139),X_138)
| multiply(least_upper_bound(X_139,greatest_lower_bound(X_613,identity)),X_138) = multiply(least_upper_bound(greatest_lower_bound(identity,X_613),X_139),X_138) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_613,identity),X_139),least_upper_bound(greatest_lower_bound(identity,X_613),X_139)) )],[refute_0_2721,refute_0_2722]) ).
cnf(refute_0_2724,plain,
multiply(least_upper_bound(X_139,greatest_lower_bound(X_613,identity)),X_138) = multiply(least_upper_bound(greatest_lower_bound(identity,X_613),X_139),X_138),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,greatest_lower_bound(X_613,identity)),X_138),multiply(least_upper_bound(greatest_lower_bound(X_613,identity),X_139),X_138)) )],[refute_0_2665,refute_0_2723]) ).
cnf(refute_0_2725,plain,
( multiply(least_upper_bound(X_139,greatest_lower_bound(X_613,identity)),X_138) != multiply(least_upper_bound(greatest_lower_bound(identity,X_613),X_139),X_138)
| multiply(least_upper_bound(greatest_lower_bound(identity,X_613),X_139),X_138) = multiply(least_upper_bound(X_139,greatest_lower_bound(X_613,identity)),X_138) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(least_upper_bound(X_139,greatest_lower_bound(X_613,identity)),X_138))),bind(Y0,$fot(multiply(least_upper_bound(greatest_lower_bound(identity,X_613),X_139),X_138)))]]) ).
cnf(refute_0_2726,plain,
multiply(least_upper_bound(greatest_lower_bound(identity,X_613),X_139),X_138) = multiply(least_upper_bound(X_139,greatest_lower_bound(X_613,identity)),X_138),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,greatest_lower_bound(X_613,identity)),X_138),multiply(least_upper_bound(greatest_lower_bound(identity,X_613),X_139),X_138)) )],[refute_0_2724,refute_0_2725]) ).
cnf(refute_0_2727,plain,
multiply(least_upper_bound(greatest_lower_bound(identity,X_618),identity),identity) = multiply(least_upper_bound(identity,greatest_lower_bound(X_618,identity)),identity),
inference(subst,[],[refute_0_2726:[bind(X_138,$fot(identity)),bind(X_139,$fot(identity)),bind(X_613,$fot(X_618))]]) ).
cnf(refute_0_2728,plain,
( multiply(least_upper_bound(greatest_lower_bound(identity,X_618),identity),identity) != multiply(least_upper_bound(identity,greatest_lower_bound(X_618,identity)),identity)
| multiply(least_upper_bound(identity,greatest_lower_bound(X_618,identity)),identity) != identity
| multiply(least_upper_bound(greatest_lower_bound(identity,X_618),identity),identity) = identity ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(least_upper_bound(greatest_lower_bound(identity,X_618),identity),identity))),bind(Y0,$fot(multiply(least_upper_bound(identity,greatest_lower_bound(X_618,identity)),identity))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_2729,plain,
( multiply(least_upper_bound(identity,greatest_lower_bound(X_618,identity)),identity) != identity
| multiply(least_upper_bound(greatest_lower_bound(identity,X_618),identity),identity) = identity ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,X_618),identity),identity),multiply(least_upper_bound(identity,greatest_lower_bound(X_618,identity)),identity)) )],[refute_0_2727,refute_0_2728]) ).
cnf(refute_0_2730,plain,
multiply(least_upper_bound(greatest_lower_bound(identity,X_618),identity),identity) = identity,
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,greatest_lower_bound(X_618,identity)),identity),identity) )],[refute_0_2664,refute_0_2729]) ).
cnf(refute_0_2731,plain,
least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),identity)) = multiply(least_upper_bound(greatest_lower_bound(identity,X_618),identity),identity),
inference(subst,[],[refute_0_1012:[bind(X_138,$fot(identity)),bind(X_139,$fot(greatest_lower_bound(identity,X_618)))]]) ).
cnf(refute_0_2732,plain,
( multiply(least_upper_bound(greatest_lower_bound(identity,X_618),identity),identity) != identity
| least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),identity)) != multiply(least_upper_bound(greatest_lower_bound(identity,X_618),identity),identity)
| least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),identity)) = identity ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),identity)))),bind(Y0,$fot(multiply(least_upper_bound(greatest_lower_bound(identity,X_618),identity),identity))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_2733,plain,
( multiply(least_upper_bound(greatest_lower_bound(identity,X_618),identity),identity) != identity
| least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),identity)) = identity ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),identity)),multiply(least_upper_bound(greatest_lower_bound(identity,X_618),identity),identity)) )],[refute_0_2731,refute_0_2732]) ).
cnf(refute_0_2734,plain,
least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),identity)) = identity,
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,X_618),identity),identity),identity) )],[refute_0_2730,refute_0_2733]) ).
cnf(refute_0_2735,plain,
least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_36,Y),X_38)) = least_upper_bound(least_upper_bound(X_36,greatest_lower_bound(X_36,Y)),X_38),
inference(subst,[],[associativity_of_lub:[bind(X,$fot(X_36)),bind(Y,$fot(greatest_lower_bound(X_36,Y))),bind(Z,$fot(X_38))]]) ).
cnf(refute_0_2736,plain,
least_upper_bound(X_36,greatest_lower_bound(X_36,Y)) = X_36,
inference(subst,[],[lub_absorbtion:[bind(X,$fot(X_36))]]) ).
cnf(refute_0_2737,plain,
( least_upper_bound(X_36,greatest_lower_bound(X_36,Y)) != X_36
| least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_36,Y),X_38)) != least_upper_bound(least_upper_bound(X_36,greatest_lower_bound(X_36,Y)),X_38)
| least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_36,Y),X_38)) = least_upper_bound(X_36,X_38) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_36,Y),X_38)),least_upper_bound(least_upper_bound(X_36,greatest_lower_bound(X_36,Y)),X_38)) ),[1,0],$fot(X_36)]]) ).
cnf(refute_0_2738,plain,
( least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_36,Y),X_38)) != least_upper_bound(least_upper_bound(X_36,greatest_lower_bound(X_36,Y)),X_38)
| least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_36,Y),X_38)) = least_upper_bound(X_36,X_38) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,greatest_lower_bound(X_36,Y)),X_36) )],[refute_0_2736,refute_0_2737]) ).
cnf(refute_0_2739,plain,
least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_36,Y),X_38)) = least_upper_bound(X_36,X_38),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_36,Y),X_38)),least_upper_bound(least_upper_bound(X_36,greatest_lower_bound(X_36,Y)),X_38)) )],[refute_0_2735,refute_0_2738]) ).
cnf(refute_0_2740,plain,
least_upper_bound(identity,least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),X_317))) = least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),X_317)),
inference(subst,[],[refute_0_2739:[bind(Y,$fot(inverse(X_318))),bind(X_36,$fot(identity)),bind(X_38,$fot(multiply(greatest_lower_bound(identity,X_318),X_317)))]]) ).
cnf(refute_0_2741,plain,
multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318))) = least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),X_317)),
inference(subst,[],[refute_0_1096:[bind(X_130,$fot(X_317)),bind(X_93,$fot(X_318))]]) ).
cnf(refute_0_2742,plain,
( multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318))) != least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),X_317))
| least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),X_317)) = multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318))))),bind(Y0,$fot(least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),X_317))))]]) ).
cnf(refute_0_2743,plain,
least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),X_317)) = multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318))),least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),X_317))) )],[refute_0_2741,refute_0_2742]) ).
cnf(refute_0_2744,plain,
( least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),X_317)) != multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318)))
| least_upper_bound(identity,least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),X_317))) != least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),X_317))
| least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318)))) = least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),X_317)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),X_317))),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),X_317))) ),[0,1],$fot(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318))))]]) ).
cnf(refute_0_2745,plain,
( least_upper_bound(identity,least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),X_317))) != least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),X_317))
| least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318)))) = least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),X_317)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),X_317)),multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318)))) )],[refute_0_2743,refute_0_2744]) ).
cnf(refute_0_2746,plain,
least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318)))) = least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),X_317)),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),X_317))),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),X_317))) )],[refute_0_2740,refute_0_2745]) ).
cnf(refute_0_2747,plain,
least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),identity)),
inference(subst,[],[refute_0_2746:[bind(X_317,$fot(identity)),bind(X_318,$fot(X_618))]]) ).
cnf(refute_0_2748,plain,
( least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),identity)) != identity
| least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),identity))
| least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = identity ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))),bind(Y0,$fot(least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),identity)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_2749,plain,
( least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),identity)) != identity
| least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = identity ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),identity))) )],[refute_0_2747,refute_0_2748]) ).
cnf(refute_0_2750,plain,
least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) = identity,
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),identity)),identity) )],[refute_0_2734,refute_0_2749]) ).
cnf(refute_0_2751,plain,
multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),
introduced(tautology,[refl,[$fot(multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))]]) ).
cnf(refute_0_2752,plain,
( multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) != multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != identity
| multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = multiply(identity,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_2753,plain,
( least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != identity
| multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = multiply(identity,identity) ),
inference(resolve,[$cnf( $equal(multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) )],[refute_0_2751,refute_0_2752]) ).
cnf(refute_0_2754,plain,
multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = multiply(identity,identity),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity) )],[refute_0_2750,refute_0_2753]) ).
cnf(refute_0_2755,plain,
multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))]]) ).
cnf(refute_0_2756,plain,
( multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) != multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| inverse(identity) != identity
| multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_2757,plain,
( inverse(identity) != identity
| multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) )],[refute_0_2755,refute_0_2756]) ).
cnf(refute_0_2758,plain,
multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[p20_1,refute_0_2757]) ).
cnf(refute_0_2759,plain,
( multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) != multiply(identity,identity)
| multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) != multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = multiply(identity,identity) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))),bind(Y0,$fot(multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))),bind(Z0,$fot(multiply(identity,identity)))]]) ).
cnf(refute_0_2760,plain,
( multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) != multiply(identity,identity)
| multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = multiply(identity,identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) )],[refute_0_2758,refute_0_2759]) ).
cnf(refute_0_2761,plain,
multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = multiply(identity,identity),
inference(resolve,[$cnf( $equal(multiply(identity,least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(identity,identity)) )],[refute_0_2754,refute_0_2760]) ).
cnf(refute_0_2762,plain,
( multiply(identity,identity) != identity
| multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) != multiply(identity,identity)
| multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = identity ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))),bind(Y0,$fot(multiply(identity,identity))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_2763,plain,
( multiply(identity,identity) != identity
| multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(identity,identity)) )],[refute_0_2761,refute_0_2762]) ).
cnf(refute_0_2764,plain,
multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = identity,
inference(resolve,[$cnf( $equal(multiply(identity,identity),identity) )],[refute_0_2659,refute_0_2763]) ).
cnf(refute_0_2765,plain,
multiply(inverse(multiply(inverse(X_131),X_130)),least_upper_bound(identity,multiply(inverse(X_131),X_130))) = least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130))),
inference(subst,[],[refute_0_416:[bind(X_135,$fot(multiply(inverse(X_131),X_130)))]]) ).
cnf(refute_0_2766,plain,
( multiply(inverse(X_131),least_upper_bound(X_130,X_131)) != least_upper_bound(identity,multiply(inverse(X_131),X_130))
| least_upper_bound(identity,multiply(inverse(X_131),X_130)) = multiply(inverse(X_131),least_upper_bound(X_130,X_131)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(inverse(X_131),least_upper_bound(X_130,X_131)))),bind(Y0,$fot(least_upper_bound(identity,multiply(inverse(X_131),X_130))))]]) ).
cnf(refute_0_2767,plain,
least_upper_bound(identity,multiply(inverse(X_131),X_130)) = multiply(inverse(X_131),least_upper_bound(X_130,X_131)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_131),least_upper_bound(X_130,X_131)),least_upper_bound(identity,multiply(inverse(X_131),X_130))) )],[refute_0_408,refute_0_2766]) ).
cnf(refute_0_2768,plain,
( multiply(inverse(multiply(inverse(X_131),X_130)),least_upper_bound(identity,multiply(inverse(X_131),X_130))) != least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130)))
| least_upper_bound(identity,multiply(inverse(X_131),X_130)) != multiply(inverse(X_131),least_upper_bound(X_130,X_131))
| multiply(inverse(multiply(inverse(X_131),X_130)),multiply(inverse(X_131),least_upper_bound(X_130,X_131))) = least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_131),X_130)),least_upper_bound(identity,multiply(inverse(X_131),X_130))),least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130)))) ),[0,1],$fot(multiply(inverse(X_131),least_upper_bound(X_130,X_131)))]]) ).
cnf(refute_0_2769,plain,
( multiply(inverse(multiply(inverse(X_131),X_130)),least_upper_bound(identity,multiply(inverse(X_131),X_130))) != least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130)))
| multiply(inverse(multiply(inverse(X_131),X_130)),multiply(inverse(X_131),least_upper_bound(X_130,X_131))) = least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(inverse(X_131),X_130)),multiply(inverse(X_131),least_upper_bound(X_130,X_131))) )],[refute_0_2767,refute_0_2768]) ).
cnf(refute_0_2770,plain,
multiply(inverse(multiply(inverse(X_131),X_130)),multiply(inverse(X_131),least_upper_bound(X_130,X_131))) = least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_131),X_130)),least_upper_bound(identity,multiply(inverse(X_131),X_130))),least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130)))) )],[refute_0_2765,refute_0_2769]) ).
cnf(refute_0_2771,plain,
multiply(multiply(inverse(multiply(Y,X_61)),Y),Z) = multiply(inverse(multiply(Y,X_61)),multiply(Y,Z)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(multiply(Y,X_61))))]]) ).
cnf(refute_0_2772,plain,
inverse(X_61) = multiply(inverse(multiply(Y,X_61)),Y),
inference(subst,[],[refute_0_106:[bind(X_58,$fot(Y)),bind(X_59,$fot(X_61))]]) ).
cnf(refute_0_2773,plain,
( inverse(X_61) != multiply(inverse(multiply(Y,X_61)),Y)
| multiply(inverse(multiply(Y,X_61)),Y) = inverse(X_61) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(X_61))),bind(Y0,$fot(multiply(inverse(multiply(Y,X_61)),Y)))]]) ).
cnf(refute_0_2774,plain,
multiply(inverse(multiply(Y,X_61)),Y) = inverse(X_61),
inference(resolve,[$cnf( $equal(inverse(X_61),multiply(inverse(multiply(Y,X_61)),Y)) )],[refute_0_2772,refute_0_2773]) ).
cnf(refute_0_2775,plain,
( multiply(multiply(inverse(multiply(Y,X_61)),Y),Z) != multiply(inverse(multiply(Y,X_61)),multiply(Y,Z))
| multiply(inverse(multiply(Y,X_61)),Y) != inverse(X_61)
| multiply(inverse(X_61),Z) = multiply(inverse(multiply(Y,X_61)),multiply(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(multiply(Y,X_61)),Y),Z),multiply(inverse(multiply(Y,X_61)),multiply(Y,Z))) ),[0,0],$fot(inverse(X_61))]]) ).
cnf(refute_0_2776,plain,
( multiply(multiply(inverse(multiply(Y,X_61)),Y),Z) != multiply(inverse(multiply(Y,X_61)),multiply(Y,Z))
| multiply(inverse(X_61),Z) = multiply(inverse(multiply(Y,X_61)),multiply(Y,Z)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(Y,X_61)),Y),inverse(X_61)) )],[refute_0_2774,refute_0_2775]) ).
cnf(refute_0_2777,plain,
multiply(inverse(X_61),Z) = multiply(inverse(multiply(Y,X_61)),multiply(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(Y,X_61)),Y),Z),multiply(inverse(multiply(Y,X_61)),multiply(Y,Z))) )],[refute_0_2771,refute_0_2776]) ).
cnf(refute_0_2778,plain,
( multiply(inverse(X_61),Z) != multiply(inverse(multiply(Y,X_61)),multiply(Y,Z))
| multiply(inverse(multiply(Y,X_61)),multiply(Y,Z)) = multiply(inverse(X_61),Z) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(inverse(X_61),Z))),bind(Y0,$fot(multiply(inverse(multiply(Y,X_61)),multiply(Y,Z))))]]) ).
cnf(refute_0_2779,plain,
multiply(inverse(multiply(Y,X_61)),multiply(Y,Z)) = multiply(inverse(X_61),Z),
inference(resolve,[$cnf( $equal(multiply(inverse(X_61),Z),multiply(inverse(multiply(Y,X_61)),multiply(Y,Z))) )],[refute_0_2777,refute_0_2778]) ).
cnf(refute_0_2780,plain,
multiply(inverse(multiply(inverse(X_131),X_130)),multiply(inverse(X_131),least_upper_bound(X_130,X_131))) = multiply(inverse(X_130),least_upper_bound(X_130,X_131)),
inference(subst,[],[refute_0_2779:[bind(Y,$fot(inverse(X_131))),bind(Z,$fot(least_upper_bound(X_130,X_131))),bind(X_61,$fot(X_130))]]) ).
cnf(refute_0_2781,plain,
( multiply(inverse(multiply(inverse(X_131),X_130)),multiply(inverse(X_131),least_upper_bound(X_130,X_131))) != multiply(inverse(X_130),least_upper_bound(X_130,X_131))
| multiply(inverse(multiply(inverse(X_131),X_130)),multiply(inverse(X_131),least_upper_bound(X_130,X_131))) != least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130)))
| multiply(inverse(X_130),least_upper_bound(X_130,X_131)) = least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_131),X_130)),multiply(inverse(X_131),least_upper_bound(X_130,X_131))),least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130)))) ),[0],$fot(multiply(inverse(X_130),least_upper_bound(X_130,X_131)))]]) ).
cnf(refute_0_2782,plain,
( multiply(inverse(multiply(inverse(X_131),X_130)),multiply(inverse(X_131),least_upper_bound(X_130,X_131))) != least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130)))
| multiply(inverse(X_130),least_upper_bound(X_130,X_131)) = least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_131),X_130)),multiply(inverse(X_131),least_upper_bound(X_130,X_131))),multiply(inverse(X_130),least_upper_bound(X_130,X_131))) )],[refute_0_2780,refute_0_2781]) ).
cnf(refute_0_2783,plain,
inverse(multiply(inverse(X_131),X_130)) = multiply(inverse(X_130),X_131),
inference(subst,[],[refute_0_63:[bind(X,$fot(X_131)),bind(X_23,$fot(X_130))]]) ).
cnf(refute_0_2784,plain,
least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130))) = least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130))),
introduced(tautology,[refl,[$fot(least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130))))]]) ).
cnf(refute_0_2785,plain,
( inverse(multiply(inverse(X_131),X_130)) != multiply(inverse(X_130),X_131)
| least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130))) != least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130)))
| least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130))) = least_upper_bound(identity,multiply(inverse(X_130),X_131)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130))),least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130)))) ),[1,1],$fot(multiply(inverse(X_130),X_131))]]) ).
cnf(refute_0_2786,plain,
( inverse(multiply(inverse(X_131),X_130)) != multiply(inverse(X_130),X_131)
| least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130))) = least_upper_bound(identity,multiply(inverse(X_130),X_131)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130))),least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130)))) )],[refute_0_2784,refute_0_2785]) ).
cnf(refute_0_2787,plain,
least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130))) = least_upper_bound(identity,multiply(inverse(X_130),X_131)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_131),X_130)),multiply(inverse(X_130),X_131)) )],[refute_0_2783,refute_0_2786]) ).
cnf(refute_0_2788,plain,
( multiply(inverse(X_130),least_upper_bound(X_130,X_131)) != least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130)))
| least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130))) != least_upper_bound(identity,multiply(inverse(X_130),X_131))
| multiply(inverse(X_130),least_upper_bound(X_130,X_131)) = least_upper_bound(identity,multiply(inverse(X_130),X_131)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_130),least_upper_bound(X_130,X_131)),least_upper_bound(identity,multiply(inverse(X_130),X_131))) ),[0],$fot(least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130))))]]) ).
cnf(refute_0_2789,plain,
( multiply(inverse(X_130),least_upper_bound(X_130,X_131)) != least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130)))
| multiply(inverse(X_130),least_upper_bound(X_130,X_131)) = least_upper_bound(identity,multiply(inverse(X_130),X_131)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130))),least_upper_bound(identity,multiply(inverse(X_130),X_131))) )],[refute_0_2787,refute_0_2788]) ).
cnf(refute_0_2790,plain,
( multiply(inverse(multiply(inverse(X_131),X_130)),multiply(inverse(X_131),least_upper_bound(X_130,X_131))) != least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130)))
| multiply(inverse(X_130),least_upper_bound(X_130,X_131)) = least_upper_bound(identity,multiply(inverse(X_130),X_131)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_130),least_upper_bound(X_130,X_131)),least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130)))) )],[refute_0_2782,refute_0_2789]) ).
cnf(refute_0_2791,plain,
multiply(inverse(X_130),least_upper_bound(X_130,X_131)) = least_upper_bound(identity,multiply(inverse(X_130),X_131)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_131),X_130)),multiply(inverse(X_131),least_upper_bound(X_130,X_131))),least_upper_bound(identity,inverse(multiply(inverse(X_131),X_130)))) )],[refute_0_2770,refute_0_2790]) ).
cnf(refute_0_2792,plain,
( multiply(inverse(X_130),least_upper_bound(X_130,X_131)) != least_upper_bound(identity,multiply(inverse(X_130),X_131))
| least_upper_bound(identity,multiply(inverse(X_130),X_131)) = multiply(inverse(X_130),least_upper_bound(X_130,X_131)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(inverse(X_130),least_upper_bound(X_130,X_131)))),bind(Y0,$fot(least_upper_bound(identity,multiply(inverse(X_130),X_131))))]]) ).
cnf(refute_0_2793,plain,
least_upper_bound(identity,multiply(inverse(X_130),X_131)) = multiply(inverse(X_130),least_upper_bound(X_130,X_131)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_130),least_upper_bound(X_130,X_131)),least_upper_bound(identity,multiply(inverse(X_130),X_131))) )],[refute_0_2791,refute_0_2792]) ).
cnf(refute_0_2794,plain,
least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),
inference(subst,[],[refute_0_2793:[bind(X_130,$fot(identity)),bind(X_131,$fot(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))]]) ).
cnf(refute_0_2795,plain,
( multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) != identity
| least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) != multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = identity ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))),bind(Y0,$fot(multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_2796,plain,
( multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) != identity
| least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = identity ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) )],[refute_0_2794,refute_0_2795]) ).
cnf(refute_0_2797,plain,
least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(identity),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),identity) )],[refute_0_2764,refute_0_2796]) ).
cnf(refute_0_2798,plain,
( inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) != least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) != identity
| inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))),identity) ),[0],$fot(least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))]]) ).
cnf(refute_0_2799,plain,
( inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) != least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) = identity ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),identity) )],[refute_0_2797,refute_0_2798]) ).
cnf(refute_0_2800,plain,
( multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) = identity ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))),least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) )],[refute_0_2658,refute_0_2799]) ).
cnf(refute_0_2801,plain,
inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),least_upper_bound(identity,multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) )],[refute_0_2077,refute_0_2800]) ).
cnf(refute_0_2802,plain,
( inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))) != inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))
| inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) != identity
| inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))) = identity ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))))),bind(Y0,$fot(inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_2803,plain,
( inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) != identity
| inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))) = identity ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))) )],[refute_0_2169,refute_0_2802]) ).
cnf(refute_0_2804,plain,
inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))) = identity,
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))),identity) )],[refute_0_2801,refute_0_2803]) ).
cnf(refute_0_2805,plain,
least_upper_bound(identity,inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))) = inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),
inference(subst,[],[refute_0_2410:[bind(X_82,$fot(multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))]]) ).
cnf(refute_0_2806,plain,
multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191) = least_upper_bound(X_191,multiply(least_upper_bound(inverse(X_191),X_140),X_191)),
inference(subst,[],[refute_0_993:[bind(X_138,$fot(X_191)),bind(X_139,$fot(least_upper_bound(inverse(X_191),X_140)))]]) ).
cnf(refute_0_2807,plain,
multiply(least_upper_bound(inverse(X_138),X_140),X_138) = least_upper_bound(multiply(inverse(X_138),X_138),multiply(X_140,X_138)),
inference(subst,[],[monotony_lub2:[bind(X,$fot(X_138)),bind(Y,$fot(inverse(X_138))),bind(Z,$fot(X_140))]]) ).
cnf(refute_0_2808,plain,
multiply(inverse(X_138),X_138) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(X_138))]]) ).
cnf(refute_0_2809,plain,
( multiply(inverse(X_138),X_138) != identity
| multiply(least_upper_bound(inverse(X_138),X_140),X_138) != least_upper_bound(multiply(inverse(X_138),X_138),multiply(X_140,X_138))
| multiply(least_upper_bound(inverse(X_138),X_140),X_138) = least_upper_bound(identity,multiply(X_140,X_138)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(inverse(X_138),X_140),X_138),least_upper_bound(multiply(inverse(X_138),X_138),multiply(X_140,X_138))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_2810,plain,
( multiply(least_upper_bound(inverse(X_138),X_140),X_138) != least_upper_bound(multiply(inverse(X_138),X_138),multiply(X_140,X_138))
| multiply(least_upper_bound(inverse(X_138),X_140),X_138) = least_upper_bound(identity,multiply(X_140,X_138)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_138),X_138),identity) )],[refute_0_2808,refute_0_2809]) ).
cnf(refute_0_2811,plain,
multiply(least_upper_bound(inverse(X_138),X_140),X_138) = least_upper_bound(identity,multiply(X_140,X_138)),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(inverse(X_138),X_140),X_138),least_upper_bound(multiply(inverse(X_138),X_138),multiply(X_140,X_138))) )],[refute_0_2807,refute_0_2810]) ).
cnf(refute_0_2812,plain,
multiply(least_upper_bound(inverse(X_191),X_140),X_191) = least_upper_bound(identity,multiply(X_140,X_191)),
inference(subst,[],[refute_0_2811:[bind(X_138,$fot(X_191))]]) ).
cnf(refute_0_2813,plain,
( multiply(least_upper_bound(inverse(X_191),X_140),X_191) != least_upper_bound(identity,multiply(X_140,X_191))
| multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191) != least_upper_bound(X_191,multiply(least_upper_bound(inverse(X_191),X_140),X_191))
| multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191) = least_upper_bound(X_191,least_upper_bound(identity,multiply(X_140,X_191))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191),least_upper_bound(X_191,multiply(least_upper_bound(inverse(X_191),X_140),X_191))) ),[1,1],$fot(least_upper_bound(identity,multiply(X_140,X_191)))]]) ).
cnf(refute_0_2814,plain,
( multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191) != least_upper_bound(X_191,multiply(least_upper_bound(inverse(X_191),X_140),X_191))
| multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191) = least_upper_bound(X_191,least_upper_bound(identity,multiply(X_140,X_191))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(inverse(X_191),X_140),X_191),least_upper_bound(identity,multiply(X_140,X_191))) )],[refute_0_2812,refute_0_2813]) ).
cnf(refute_0_2815,plain,
multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191) = least_upper_bound(X_191,least_upper_bound(identity,multiply(X_140,X_191))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191),least_upper_bound(X_191,multiply(least_upper_bound(inverse(X_191),X_140),X_191))) )],[refute_0_2806,refute_0_2814]) ).
cnf(refute_0_2816,plain,
multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X) = least_upper_bound(multiply(least_upper_bound(X_142,inverse(X)),X),multiply(Z,X)),
inference(subst,[],[monotony_lub2:[bind(Y,$fot(least_upper_bound(X_142,inverse(X))))]]) ).
cnf(refute_0_2817,plain,
multiply(least_upper_bound(X_139,inverse(X_138)),X_138) = least_upper_bound(multiply(X_139,X_138),multiply(inverse(X_138),X_138)),
inference(subst,[],[monotony_lub2:[bind(X,$fot(X_138)),bind(Y,$fot(X_139)),bind(Z,$fot(inverse(X_138)))]]) ).
cnf(refute_0_2818,plain,
( multiply(inverse(X_138),X_138) != identity
| multiply(least_upper_bound(X_139,inverse(X_138)),X_138) != least_upper_bound(multiply(X_139,X_138),multiply(inverse(X_138),X_138))
| multiply(least_upper_bound(X_139,inverse(X_138)),X_138) = least_upper_bound(multiply(X_139,X_138),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_139,inverse(X_138)),X_138),least_upper_bound(multiply(X_139,X_138),multiply(inverse(X_138),X_138))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_2819,plain,
( multiply(least_upper_bound(X_139,inverse(X_138)),X_138) != least_upper_bound(multiply(X_139,X_138),multiply(inverse(X_138),X_138))
| multiply(least_upper_bound(X_139,inverse(X_138)),X_138) = least_upper_bound(multiply(X_139,X_138),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_138),X_138),identity) )],[refute_0_2808,refute_0_2818]) ).
cnf(refute_0_2820,plain,
multiply(least_upper_bound(X_139,inverse(X_138)),X_138) = least_upper_bound(multiply(X_139,X_138),identity),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,inverse(X_138)),X_138),least_upper_bound(multiply(X_139,X_138),multiply(inverse(X_138),X_138))) )],[refute_0_2817,refute_0_2819]) ).
cnf(refute_0_2821,plain,
least_upper_bound(multiply(X_139,X_138),identity) = least_upper_bound(identity,multiply(X_139,X_138)),
inference(subst,[],[refute_0_404:[bind(X,$fot(identity)),bind(Y,$fot(multiply(X_139,X_138)))]]) ).
cnf(refute_0_2822,plain,
( multiply(least_upper_bound(X_139,inverse(X_138)),X_138) != least_upper_bound(multiply(X_139,X_138),identity)
| least_upper_bound(multiply(X_139,X_138),identity) != least_upper_bound(identity,multiply(X_139,X_138))
| multiply(least_upper_bound(X_139,inverse(X_138)),X_138) = least_upper_bound(identity,multiply(X_139,X_138)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(least_upper_bound(X_139,inverse(X_138)),X_138),least_upper_bound(identity,multiply(X_139,X_138))) ),[0],$fot(least_upper_bound(multiply(X_139,X_138),identity))]]) ).
cnf(refute_0_2823,plain,
( multiply(least_upper_bound(X_139,inverse(X_138)),X_138) != least_upper_bound(multiply(X_139,X_138),identity)
| multiply(least_upper_bound(X_139,inverse(X_138)),X_138) = least_upper_bound(identity,multiply(X_139,X_138)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_139,X_138),identity),least_upper_bound(identity,multiply(X_139,X_138))) )],[refute_0_2821,refute_0_2822]) ).
cnf(refute_0_2824,plain,
multiply(least_upper_bound(X_139,inverse(X_138)),X_138) = least_upper_bound(identity,multiply(X_139,X_138)),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,inverse(X_138)),X_138),least_upper_bound(multiply(X_139,X_138),identity)) )],[refute_0_2820,refute_0_2823]) ).
cnf(refute_0_2825,plain,
multiply(least_upper_bound(X_142,inverse(X)),X) = least_upper_bound(identity,multiply(X_142,X)),
inference(subst,[],[refute_0_2824:[bind(X_138,$fot(X)),bind(X_139,$fot(X_142))]]) ).
cnf(refute_0_2826,plain,
( multiply(least_upper_bound(X_142,inverse(X)),X) != least_upper_bound(identity,multiply(X_142,X))
| multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X) != least_upper_bound(multiply(least_upper_bound(X_142,inverse(X)),X),multiply(Z,X))
| multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X) = least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X),least_upper_bound(multiply(least_upper_bound(X_142,inverse(X)),X),multiply(Z,X))) ),[1,0],$fot(least_upper_bound(identity,multiply(X_142,X)))]]) ).
cnf(refute_0_2827,plain,
( multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X) != least_upper_bound(multiply(least_upper_bound(X_142,inverse(X)),X),multiply(Z,X))
| multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X) = least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X)) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_142,inverse(X)),X),least_upper_bound(identity,multiply(X_142,X))) )],[refute_0_2825,refute_0_2826]) ).
cnf(refute_0_2828,plain,
multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X) = least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X)),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X),least_upper_bound(multiply(least_upper_bound(X_142,inverse(X)),X),multiply(Z,X))) )],[refute_0_2816,refute_0_2827]) ).
cnf(refute_0_2829,plain,
least_upper_bound(least_upper_bound(X_142,inverse(X)),Z) = least_upper_bound(X_142,least_upper_bound(inverse(X),Z)),
inference(subst,[],[refute_0_434:[bind(X,$fot(X_142)),bind(Y,$fot(inverse(X)))]]) ).
cnf(refute_0_2830,plain,
multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X) = multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X),
introduced(tautology,[refl,[$fot(multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X))]]) ).
cnf(refute_0_2831,plain,
( multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X) != multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X)
| least_upper_bound(least_upper_bound(X_142,inverse(X)),Z) != least_upper_bound(X_142,least_upper_bound(inverse(X),Z))
| multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X) = multiply(least_upper_bound(X_142,least_upper_bound(inverse(X),Z)),X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X),multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X)) ),[1,0],$fot(least_upper_bound(X_142,least_upper_bound(inverse(X),Z)))]]) ).
cnf(refute_0_2832,plain,
( least_upper_bound(least_upper_bound(X_142,inverse(X)),Z) != least_upper_bound(X_142,least_upper_bound(inverse(X),Z))
| multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X) = multiply(least_upper_bound(X_142,least_upper_bound(inverse(X),Z)),X) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X),multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X)) )],[refute_0_2830,refute_0_2831]) ).
cnf(refute_0_2833,plain,
multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X) = multiply(least_upper_bound(X_142,least_upper_bound(inverse(X),Z)),X),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),least_upper_bound(X_142,least_upper_bound(inverse(X),Z))) )],[refute_0_2829,refute_0_2832]) ).
cnf(refute_0_2834,plain,
( multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X) != multiply(least_upper_bound(X_142,least_upper_bound(inverse(X),Z)),X)
| multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X) != least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X))
| multiply(least_upper_bound(X_142,least_upper_bound(inverse(X),Z)),X) = least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X),least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X))) ),[0],$fot(multiply(least_upper_bound(X_142,least_upper_bound(inverse(X),Z)),X))]]) ).
cnf(refute_0_2835,plain,
( multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X) != least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X))
| multiply(least_upper_bound(X_142,least_upper_bound(inverse(X),Z)),X) = least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X)) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X),multiply(least_upper_bound(X_142,least_upper_bound(inverse(X),Z)),X)) )],[refute_0_2833,refute_0_2834]) ).
cnf(refute_0_2836,plain,
least_upper_bound(multiply(X_142,X),multiply(Z,X)) = multiply(least_upper_bound(X_142,Z),X),
inference(subst,[],[refute_0_628:[bind(Y,$fot(X_142))]]) ).
cnf(refute_0_2837,plain,
least_upper_bound(identity,least_upper_bound(multiply(X_142,X),multiply(Z,X))) = least_upper_bound(identity,least_upper_bound(multiply(X_142,X),multiply(Z,X))),
introduced(tautology,[refl,[$fot(least_upper_bound(identity,least_upper_bound(multiply(X_142,X),multiply(Z,X))))]]) ).
cnf(refute_0_2838,plain,
( least_upper_bound(multiply(X_142,X),multiply(Z,X)) != multiply(least_upper_bound(X_142,Z),X)
| least_upper_bound(identity,least_upper_bound(multiply(X_142,X),multiply(Z,X))) != least_upper_bound(identity,least_upper_bound(multiply(X_142,X),multiply(Z,X)))
| least_upper_bound(identity,least_upper_bound(multiply(X_142,X),multiply(Z,X))) = least_upper_bound(identity,multiply(least_upper_bound(X_142,Z),X)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(multiply(X_142,X),multiply(Z,X))),least_upper_bound(identity,least_upper_bound(multiply(X_142,X),multiply(Z,X)))) ),[1,1],$fot(multiply(least_upper_bound(X_142,Z),X))]]) ).
cnf(refute_0_2839,plain,
( least_upper_bound(multiply(X_142,X),multiply(Z,X)) != multiply(least_upper_bound(X_142,Z),X)
| least_upper_bound(identity,least_upper_bound(multiply(X_142,X),multiply(Z,X))) = least_upper_bound(identity,multiply(least_upper_bound(X_142,Z),X)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(multiply(X_142,X),multiply(Z,X))),least_upper_bound(identity,least_upper_bound(multiply(X_142,X),multiply(Z,X)))) )],[refute_0_2837,refute_0_2838]) ).
cnf(refute_0_2840,plain,
least_upper_bound(identity,least_upper_bound(multiply(X_142,X),multiply(Z,X))) = least_upper_bound(identity,multiply(least_upper_bound(X_142,Z),X)),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_142,X),multiply(Z,X)),multiply(least_upper_bound(X_142,Z),X)) )],[refute_0_2836,refute_0_2839]) ).
cnf(refute_0_2841,plain,
least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X)) = least_upper_bound(identity,least_upper_bound(multiply(X_142,X),multiply(Z,X))),
inference(subst,[],[refute_0_434:[bind(X,$fot(identity)),bind(Y,$fot(multiply(X_142,X))),bind(Z,$fot(multiply(Z,X)))]]) ).
cnf(refute_0_2842,plain,
( least_upper_bound(identity,least_upper_bound(multiply(X_142,X),multiply(Z,X))) != least_upper_bound(identity,multiply(least_upper_bound(X_142,Z),X))
| least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X)) != least_upper_bound(identity,least_upper_bound(multiply(X_142,X),multiply(Z,X)))
| least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X)) = least_upper_bound(identity,multiply(least_upper_bound(X_142,Z),X)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X)))),bind(Y0,$fot(least_upper_bound(identity,least_upper_bound(multiply(X_142,X),multiply(Z,X))))),bind(Z0,$fot(least_upper_bound(identity,multiply(least_upper_bound(X_142,Z),X))))]]) ).
cnf(refute_0_2843,plain,
( least_upper_bound(identity,least_upper_bound(multiply(X_142,X),multiply(Z,X))) != least_upper_bound(identity,multiply(least_upper_bound(X_142,Z),X))
| least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X)) = least_upper_bound(identity,multiply(least_upper_bound(X_142,Z),X)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X)),least_upper_bound(identity,least_upper_bound(multiply(X_142,X),multiply(Z,X)))) )],[refute_0_2841,refute_0_2842]) ).
cnf(refute_0_2844,plain,
least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X)) = least_upper_bound(identity,multiply(least_upper_bound(X_142,Z),X)),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(multiply(X_142,X),multiply(Z,X))),least_upper_bound(identity,multiply(least_upper_bound(X_142,Z),X))) )],[refute_0_2840,refute_0_2843]) ).
cnf(refute_0_2845,plain,
( multiply(least_upper_bound(X_142,least_upper_bound(inverse(X),Z)),X) != least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X))
| least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X)) != least_upper_bound(identity,multiply(least_upper_bound(X_142,Z),X))
| multiply(least_upper_bound(X_142,least_upper_bound(inverse(X),Z)),X) = least_upper_bound(identity,multiply(least_upper_bound(X_142,Z),X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(least_upper_bound(X_142,least_upper_bound(inverse(X),Z)),X),least_upper_bound(identity,multiply(least_upper_bound(X_142,Z),X))) ),[0],$fot(least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X)))]]) ).
cnf(refute_0_2846,plain,
( multiply(least_upper_bound(X_142,least_upper_bound(inverse(X),Z)),X) != least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X))
| multiply(least_upper_bound(X_142,least_upper_bound(inverse(X),Z)),X) = least_upper_bound(identity,multiply(least_upper_bound(X_142,Z),X)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X)),least_upper_bound(identity,multiply(least_upper_bound(X_142,Z),X))) )],[refute_0_2844,refute_0_2845]) ).
cnf(refute_0_2847,plain,
( multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X) != least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X))
| multiply(least_upper_bound(X_142,least_upper_bound(inverse(X),Z)),X) = least_upper_bound(identity,multiply(least_upper_bound(X_142,Z),X)) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_142,least_upper_bound(inverse(X),Z)),X),least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X))) )],[refute_0_2835,refute_0_2846]) ).
cnf(refute_0_2848,plain,
multiply(least_upper_bound(X_142,least_upper_bound(inverse(X),Z)),X) = least_upper_bound(identity,multiply(least_upper_bound(X_142,Z),X)),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(least_upper_bound(X_142,inverse(X)),Z),X),least_upper_bound(least_upper_bound(identity,multiply(X_142,X)),multiply(Z,X))) )],[refute_0_2828,refute_0_2847]) ).
cnf(refute_0_2849,plain,
multiply(least_upper_bound(identity,least_upper_bound(inverse(X_191),X_140)),X_191) = least_upper_bound(identity,multiply(least_upper_bound(identity,X_140),X_191)),
inference(subst,[],[refute_0_2848:[bind(X,$fot(X_191)),bind(Z,$fot(X_140)),bind(X_142,$fot(identity))]]) ).
cnf(refute_0_2850,plain,
multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191) = multiply(least_upper_bound(identity,least_upper_bound(inverse(X_191),X_140)),X_191),
inference(subst,[],[refute_0_1084:[bind(X_16,$fot(X_191)),bind(X_192,$fot(least_upper_bound(inverse(X_191),X_140)))]]) ).
cnf(refute_0_2851,plain,
( multiply(least_upper_bound(identity,least_upper_bound(inverse(X_191),X_140)),X_191) != least_upper_bound(identity,multiply(least_upper_bound(identity,X_140),X_191))
| multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191) != multiply(least_upper_bound(identity,least_upper_bound(inverse(X_191),X_140)),X_191)
| multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191) = least_upper_bound(identity,multiply(least_upper_bound(identity,X_140),X_191)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191))),bind(Y0,$fot(multiply(least_upper_bound(identity,least_upper_bound(inverse(X_191),X_140)),X_191))),bind(Z0,$fot(least_upper_bound(identity,multiply(least_upper_bound(identity,X_140),X_191))))]]) ).
cnf(refute_0_2852,plain,
( multiply(least_upper_bound(identity,least_upper_bound(inverse(X_191),X_140)),X_191) != least_upper_bound(identity,multiply(least_upper_bound(identity,X_140),X_191))
| multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191) = least_upper_bound(identity,multiply(least_upper_bound(identity,X_140),X_191)) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191),multiply(least_upper_bound(identity,least_upper_bound(inverse(X_191),X_140)),X_191)) )],[refute_0_2850,refute_0_2851]) ).
cnf(refute_0_2853,plain,
multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191) = least_upper_bound(identity,multiply(least_upper_bound(identity,X_140),X_191)),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,least_upper_bound(inverse(X_191),X_140)),X_191),least_upper_bound(identity,multiply(least_upper_bound(identity,X_140),X_191))) )],[refute_0_2849,refute_0_2852]) ).
cnf(refute_0_2854,plain,
( multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191) != least_upper_bound(X_191,least_upper_bound(identity,multiply(X_140,X_191)))
| multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191) != least_upper_bound(identity,multiply(least_upper_bound(identity,X_140),X_191))
| least_upper_bound(identity,multiply(least_upper_bound(identity,X_140),X_191)) = least_upper_bound(X_191,least_upper_bound(identity,multiply(X_140,X_191))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191),least_upper_bound(X_191,least_upper_bound(identity,multiply(X_140,X_191)))) ),[0],$fot(least_upper_bound(identity,multiply(least_upper_bound(identity,X_140),X_191)))]]) ).
cnf(refute_0_2855,plain,
( multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191) != least_upper_bound(X_191,least_upper_bound(identity,multiply(X_140,X_191)))
| least_upper_bound(identity,multiply(least_upper_bound(identity,X_140),X_191)) = least_upper_bound(X_191,least_upper_bound(identity,multiply(X_140,X_191))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191),least_upper_bound(identity,multiply(least_upper_bound(identity,X_140),X_191))) )],[refute_0_2853,refute_0_2854]) ).
cnf(refute_0_2856,plain,
least_upper_bound(identity,multiply(least_upper_bound(identity,X_140),X_191)) = least_upper_bound(X_191,least_upper_bound(identity,multiply(X_140,X_191))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(least_upper_bound(inverse(X_191),X_140),identity),X_191),least_upper_bound(X_191,least_upper_bound(identity,multiply(X_140,X_191)))) )],[refute_0_2815,refute_0_2855]) ).
cnf(refute_0_2857,plain,
least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))) = least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,multiply(greatest_lower_bound(X_76,X_77),inverse(greatest_lower_bound(X_77,X_76))))),
inference(subst,[],[refute_0_2856:[bind(X_140,$fot(greatest_lower_bound(X_76,X_77))),bind(X_191,$fot(inverse(greatest_lower_bound(X_77,X_76))))]]) ).
cnf(refute_0_2858,plain,
multiply(greatest_lower_bound(X_76,X_77),inverse(greatest_lower_bound(X_76,X_77))) = identity,
inference(subst,[],[refute_0_127:[bind(X_1,$fot(greatest_lower_bound(X_76,X_77)))]]) ).
cnf(refute_0_2859,plain,
( multiply(greatest_lower_bound(X_76,X_77),inverse(greatest_lower_bound(X_76,X_77))) != identity
| inverse(greatest_lower_bound(X_76,X_77)) != inverse(greatest_lower_bound(X_77,X_76))
| multiply(greatest_lower_bound(X_76,X_77),inverse(greatest_lower_bound(X_77,X_76))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(X_76,X_77),inverse(greatest_lower_bound(X_76,X_77))),identity) ),[0,1],$fot(inverse(greatest_lower_bound(X_77,X_76)))]]) ).
cnf(refute_0_2860,plain,
( multiply(greatest_lower_bound(X_76,X_77),inverse(greatest_lower_bound(X_76,X_77))) != identity
| multiply(greatest_lower_bound(X_76,X_77),inverse(greatest_lower_bound(X_77,X_76))) = identity ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76))) )],[refute_0_149,refute_0_2859]) ).
cnf(refute_0_2861,plain,
multiply(greatest_lower_bound(X_76,X_77),inverse(greatest_lower_bound(X_77,X_76))) = identity,
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_76,X_77),inverse(greatest_lower_bound(X_76,X_77))),identity) )],[refute_0_2858,refute_0_2860]) ).
cnf(refute_0_2862,plain,
( multiply(greatest_lower_bound(X_76,X_77),inverse(greatest_lower_bound(X_77,X_76))) != identity
| least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))) != least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,multiply(greatest_lower_bound(X_76,X_77),inverse(greatest_lower_bound(X_77,X_76)))))
| least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))) = least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))),least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,multiply(greatest_lower_bound(X_76,X_77),inverse(greatest_lower_bound(X_77,X_76)))))) ),[1,1,1],$fot(identity)]]) ).
cnf(refute_0_2863,plain,
( least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))) != least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,multiply(greatest_lower_bound(X_76,X_77),inverse(greatest_lower_bound(X_77,X_76)))))
| least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))) = least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity)) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_76,X_77),inverse(greatest_lower_bound(X_77,X_76))),identity) )],[refute_0_2861,refute_0_2862]) ).
cnf(refute_0_2864,plain,
least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))) = least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity)),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))),least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,multiply(greatest_lower_bound(X_76,X_77),inverse(greatest_lower_bound(X_77,X_76)))))) )],[refute_0_2857,refute_0_2863]) ).
cnf(refute_0_2865,plain,
least_upper_bound(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))),
inference(subst,[],[refute_0_506:[bind(X_16,$fot(identity)),bind(X_17,$fot(inverse(greatest_lower_bound(X_76,X_77))))]]) ).
cnf(refute_0_2866,plain,
multiply(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))),
inference(subst,[],[left_identity:[bind(X,$fot(least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))))]]) ).
cnf(refute_0_2867,plain,
least_upper_bound(greatest_lower_bound(X_48,Y),least_upper_bound(X_47,X_48)) = least_upper_bound(X_47,least_upper_bound(X_48,greatest_lower_bound(X_48,Y))),
inference(subst,[],[refute_0_1038:[bind(X,$fot(greatest_lower_bound(X_48,Y))),bind(X_36,$fot(X_47)),bind(X_37,$fot(X_48))]]) ).
cnf(refute_0_2868,plain,
least_upper_bound(X_48,greatest_lower_bound(X_48,Y)) = X_48,
inference(subst,[],[lub_absorbtion:[bind(X,$fot(X_48))]]) ).
cnf(refute_0_2869,plain,
( least_upper_bound(X_48,greatest_lower_bound(X_48,Y)) != X_48
| least_upper_bound(greatest_lower_bound(X_48,Y),least_upper_bound(X_47,X_48)) != least_upper_bound(X_47,least_upper_bound(X_48,greatest_lower_bound(X_48,Y)))
| least_upper_bound(greatest_lower_bound(X_48,Y),least_upper_bound(X_47,X_48)) = least_upper_bound(X_47,X_48) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_48,Y),least_upper_bound(X_47,X_48)),least_upper_bound(X_47,least_upper_bound(X_48,greatest_lower_bound(X_48,Y)))) ),[1,1],$fot(X_48)]]) ).
cnf(refute_0_2870,plain,
( least_upper_bound(greatest_lower_bound(X_48,Y),least_upper_bound(X_47,X_48)) != least_upper_bound(X_47,least_upper_bound(X_48,greatest_lower_bound(X_48,Y)))
| least_upper_bound(greatest_lower_bound(X_48,Y),least_upper_bound(X_47,X_48)) = least_upper_bound(X_47,X_48) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_48,greatest_lower_bound(X_48,Y)),X_48) )],[refute_0_2868,refute_0_2869]) ).
cnf(refute_0_2871,plain,
least_upper_bound(greatest_lower_bound(X_48,Y),least_upper_bound(X_47,X_48)) = least_upper_bound(X_47,X_48),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_48,Y),least_upper_bound(X_47,X_48)),least_upper_bound(X_47,least_upper_bound(X_48,greatest_lower_bound(X_48,Y)))) )],[refute_0_2867,refute_0_2870]) ).
cnf(refute_0_2872,plain,
least_upper_bound(greatest_lower_bound(X_48,Y),least_upper_bound(X_47,X_48)) = least_upper_bound(X_48,least_upper_bound(X_47,greatest_lower_bound(X_48,Y))),
inference(subst,[],[refute_0_2188:[bind(X_15,$fot(greatest_lower_bound(X_48,Y))),bind(X_46,$fot(X_48))]]) ).
cnf(refute_0_2873,plain,
( least_upper_bound(greatest_lower_bound(X_48,Y),least_upper_bound(X_47,X_48)) != least_upper_bound(X_47,X_48)
| least_upper_bound(greatest_lower_bound(X_48,Y),least_upper_bound(X_47,X_48)) != least_upper_bound(X_48,least_upper_bound(X_47,greatest_lower_bound(X_48,Y)))
| least_upper_bound(X_48,least_upper_bound(X_47,greatest_lower_bound(X_48,Y))) = least_upper_bound(X_47,X_48) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_48,Y),least_upper_bound(X_47,X_48)),least_upper_bound(X_47,X_48)) ),[0],$fot(least_upper_bound(X_48,least_upper_bound(X_47,greatest_lower_bound(X_48,Y))))]]) ).
cnf(refute_0_2874,plain,
( least_upper_bound(greatest_lower_bound(X_48,Y),least_upper_bound(X_47,X_48)) != least_upper_bound(X_47,X_48)
| least_upper_bound(X_48,least_upper_bound(X_47,greatest_lower_bound(X_48,Y))) = least_upper_bound(X_47,X_48) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_48,Y),least_upper_bound(X_47,X_48)),least_upper_bound(X_48,least_upper_bound(X_47,greatest_lower_bound(X_48,Y)))) )],[refute_0_2872,refute_0_2873]) ).
cnf(refute_0_2875,plain,
least_upper_bound(X_48,least_upper_bound(X_47,greatest_lower_bound(X_48,Y))) = least_upper_bound(X_47,X_48),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_48,Y),least_upper_bound(X_47,X_48)),least_upper_bound(X_47,X_48)) )],[refute_0_2871,refute_0_2874]) ).
cnf(refute_0_2876,plain,
least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))) = least_upper_bound(multiply(X,Y),multiply(X,Z)),
inference(subst,[],[refute_0_2875:[bind(Y,$fot(X_524)),bind(X_47,$fot(multiply(X,Y))),bind(X_48,$fot(multiply(X,Z)))]]) ).
cnf(refute_0_2877,plain,
( least_upper_bound(multiply(X,Y),multiply(X,Z)) != multiply(X,least_upper_bound(Y,Z))
| least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))) != least_upper_bound(multiply(X,Y),multiply(X,Z))
| least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))) = multiply(X,least_upper_bound(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))),least_upper_bound(multiply(X,Y),multiply(X,Z))) ),[1],$fot(multiply(X,least_upper_bound(Y,Z)))]]) ).
cnf(refute_0_2878,plain,
( least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))) != least_upper_bound(multiply(X,Y),multiply(X,Z))
| least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))) = multiply(X,least_upper_bound(Y,Z)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X,Y),multiply(X,Z)),multiply(X,least_upper_bound(Y,Z))) )],[refute_0_473,refute_0_2877]) ).
cnf(refute_0_2879,plain,
least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))) = multiply(X,least_upper_bound(Y,Z)),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))),least_upper_bound(multiply(X,Y),multiply(X,Z))) )],[refute_0_2876,refute_0_2878]) ).
cnf(refute_0_2880,plain,
least_upper_bound(multiply(X,Y),least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,Z))) = least_upper_bound(multiply(X,Y),multiply(X,Z)),
inference(subst,[],[refute_0_2739:[bind(Y,$fot(X_257)),bind(X_36,$fot(multiply(X,Y))),bind(X_38,$fot(multiply(X,Z)))]]) ).
cnf(refute_0_2881,plain,
( least_upper_bound(multiply(X,Y),multiply(X,Z)) != multiply(X,least_upper_bound(Y,Z))
| least_upper_bound(multiply(X,Y),least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,Z))) != least_upper_bound(multiply(X,Y),multiply(X,Z))
| least_upper_bound(multiply(X,Y),least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,Z))) = multiply(X,least_upper_bound(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(multiply(X,Y),least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,Z))),least_upper_bound(multiply(X,Y),multiply(X,Z))) ),[1],$fot(multiply(X,least_upper_bound(Y,Z)))]]) ).
cnf(refute_0_2882,plain,
( least_upper_bound(multiply(X,Y),least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,Z))) != least_upper_bound(multiply(X,Y),multiply(X,Z))
| least_upper_bound(multiply(X,Y),least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,Z))) = multiply(X,least_upper_bound(Y,Z)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X,Y),multiply(X,Z)),multiply(X,least_upper_bound(Y,Z))) )],[refute_0_473,refute_0_2881]) ).
cnf(refute_0_2883,plain,
least_upper_bound(multiply(X,Y),least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,Z))) = multiply(X,least_upper_bound(Y,Z)),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X,Y),least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,Z))),least_upper_bound(multiply(X,Y),multiply(X,Z))) )],[refute_0_2880,refute_0_2882]) ).
cnf(refute_0_2884,plain,
least_upper_bound(multiply(X_129,X_130),least_upper_bound(X_36,multiply(X_129,X_131))) = least_upper_bound(X_36,least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131))),
inference(subst,[],[refute_0_1065:[bind(X_15,$fot(multiply(X_129,X_130))),bind(X_38,$fot(multiply(X_129,X_131)))]]) ).
cnf(refute_0_2885,plain,
( least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131)) != multiply(X_129,least_upper_bound(X_130,X_131))
| least_upper_bound(multiply(X_129,X_130),least_upper_bound(X_36,multiply(X_129,X_131))) != least_upper_bound(X_36,least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131)))
| least_upper_bound(multiply(X_129,X_130),least_upper_bound(X_36,multiply(X_129,X_131))) = least_upper_bound(X_36,multiply(X_129,least_upper_bound(X_130,X_131))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(multiply(X_129,X_130),least_upper_bound(X_36,multiply(X_129,X_131))),least_upper_bound(X_36,least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131)))) ),[1,1],$fot(multiply(X_129,least_upper_bound(X_130,X_131)))]]) ).
cnf(refute_0_2886,plain,
( least_upper_bound(multiply(X_129,X_130),least_upper_bound(X_36,multiply(X_129,X_131))) != least_upper_bound(X_36,least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131)))
| least_upper_bound(multiply(X_129,X_130),least_upper_bound(X_36,multiply(X_129,X_131))) = least_upper_bound(X_36,multiply(X_129,least_upper_bound(X_130,X_131))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131)),multiply(X_129,least_upper_bound(X_130,X_131))) )],[refute_0_459,refute_0_2885]) ).
cnf(refute_0_2887,plain,
least_upper_bound(multiply(X_129,X_130),least_upper_bound(X_36,multiply(X_129,X_131))) = least_upper_bound(X_36,multiply(X_129,least_upper_bound(X_130,X_131))),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_129,X_130),least_upper_bound(X_36,multiply(X_129,X_131))),least_upper_bound(X_36,least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131)))) )],[refute_0_2884,refute_0_2886]) ).
cnf(refute_0_2888,plain,
least_upper_bound(multiply(X,Y),least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,Z))) = least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,least_upper_bound(Y,Z))),
inference(subst,[],[refute_0_2887:[bind(X_129,$fot(X)),bind(X_130,$fot(Y)),bind(X_131,$fot(Z)),bind(X_36,$fot(greatest_lower_bound(multiply(X,Y),X_257)))]]) ).
cnf(refute_0_2889,plain,
( least_upper_bound(multiply(X,Y),least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,Z))) != multiply(X,least_upper_bound(Y,Z))
| least_upper_bound(multiply(X,Y),least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,Z))) != least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,least_upper_bound(Y,Z)))
| least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,least_upper_bound(Y,Z))) = multiply(X,least_upper_bound(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(multiply(X,Y),least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,Z))),multiply(X,least_upper_bound(Y,Z))) ),[0],$fot(least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,least_upper_bound(Y,Z))))]]) ).
cnf(refute_0_2890,plain,
( least_upper_bound(multiply(X,Y),least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,Z))) != multiply(X,least_upper_bound(Y,Z))
| least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,least_upper_bound(Y,Z))) = multiply(X,least_upper_bound(Y,Z)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X,Y),least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,Z))),least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,least_upper_bound(Y,Z)))) )],[refute_0_2888,refute_0_2889]) ).
cnf(refute_0_2891,plain,
least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,least_upper_bound(Y,Z))) = multiply(X,least_upper_bound(Y,Z)),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X,Y),least_upper_bound(greatest_lower_bound(multiply(X,Y),X_257),multiply(X,Z))),multiply(X,least_upper_bound(Y,Z))) )],[refute_0_2883,refute_0_2890]) ).
cnf(refute_0_2892,plain,
least_upper_bound(greatest_lower_bound(multiply(X,Z),X_524),multiply(X,least_upper_bound(Z,Y))) = multiply(X,least_upper_bound(Z,Y)),
inference(subst,[],[refute_0_2891:[bind(Y,$fot(Z)),bind(Z,$fot(Y)),bind(X_257,$fot(X_524))]]) ).
cnf(refute_0_2893,plain,
least_upper_bound(X,least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131))) = least_upper_bound(multiply(X_129,X_130),least_upper_bound(multiply(X_129,X_131),X)),
inference(subst,[],[refute_0_1038:[bind(X_36,$fot(multiply(X_129,X_130))),bind(X_37,$fot(multiply(X_129,X_131)))]]) ).
cnf(refute_0_2894,plain,
( least_upper_bound(X,least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131))) != least_upper_bound(multiply(X_129,X_130),least_upper_bound(multiply(X_129,X_131),X))
| least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131)) != multiply(X_129,least_upper_bound(X_130,X_131))
| least_upper_bound(X,multiply(X_129,least_upper_bound(X_130,X_131))) = least_upper_bound(multiply(X_129,X_130),least_upper_bound(multiply(X_129,X_131),X)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X,least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131))),least_upper_bound(multiply(X_129,X_130),least_upper_bound(multiply(X_129,X_131),X))) ),[0,1],$fot(multiply(X_129,least_upper_bound(X_130,X_131)))]]) ).
cnf(refute_0_2895,plain,
( least_upper_bound(X,least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131))) != least_upper_bound(multiply(X_129,X_130),least_upper_bound(multiply(X_129,X_131),X))
| least_upper_bound(X,multiply(X_129,least_upper_bound(X_130,X_131))) = least_upper_bound(multiply(X_129,X_130),least_upper_bound(multiply(X_129,X_131),X)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131)),multiply(X_129,least_upper_bound(X_130,X_131))) )],[refute_0_459,refute_0_2894]) ).
cnf(refute_0_2896,plain,
least_upper_bound(X,multiply(X_129,least_upper_bound(X_130,X_131))) = least_upper_bound(multiply(X_129,X_130),least_upper_bound(multiply(X_129,X_131),X)),
inference(resolve,[$cnf( $equal(least_upper_bound(X,least_upper_bound(multiply(X_129,X_130),multiply(X_129,X_131))),least_upper_bound(multiply(X_129,X_130),least_upper_bound(multiply(X_129,X_131),X))) )],[refute_0_2893,refute_0_2895]) ).
cnf(refute_0_2897,plain,
( least_upper_bound(X,multiply(X_129,least_upper_bound(X_130,X_131))) != least_upper_bound(multiply(X_129,X_130),least_upper_bound(multiply(X_129,X_131),X))
| least_upper_bound(multiply(X_129,X_130),least_upper_bound(multiply(X_129,X_131),X)) = least_upper_bound(X,multiply(X_129,least_upper_bound(X_130,X_131))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X,multiply(X_129,least_upper_bound(X_130,X_131))))),bind(Y0,$fot(least_upper_bound(multiply(X_129,X_130),least_upper_bound(multiply(X_129,X_131),X))))]]) ).
cnf(refute_0_2898,plain,
least_upper_bound(multiply(X_129,X_130),least_upper_bound(multiply(X_129,X_131),X)) = least_upper_bound(X,multiply(X_129,least_upper_bound(X_130,X_131))),
inference(resolve,[$cnf( $equal(least_upper_bound(X,multiply(X_129,least_upper_bound(X_130,X_131))),least_upper_bound(multiply(X_129,X_130),least_upper_bound(multiply(X_129,X_131),X))) )],[refute_0_2896,refute_0_2897]) ).
cnf(refute_0_2899,plain,
least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))) = least_upper_bound(greatest_lower_bound(multiply(X,Z),X_524),multiply(X,least_upper_bound(Z,Y))),
inference(subst,[],[refute_0_2898:[bind(X,$fot(greatest_lower_bound(multiply(X,Z),X_524))),bind(X_129,$fot(X)),bind(X_130,$fot(Z)),bind(X_131,$fot(Y))]]) ).
cnf(refute_0_2900,plain,
( least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))) != least_upper_bound(greatest_lower_bound(multiply(X,Z),X_524),multiply(X,least_upper_bound(Z,Y)))
| least_upper_bound(greatest_lower_bound(multiply(X,Z),X_524),multiply(X,least_upper_bound(Z,Y))) != multiply(X,least_upper_bound(Z,Y))
| least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))) = multiply(X,least_upper_bound(Z,Y)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))))),bind(Y0,$fot(least_upper_bound(greatest_lower_bound(multiply(X,Z),X_524),multiply(X,least_upper_bound(Z,Y))))),bind(Z0,$fot(multiply(X,least_upper_bound(Z,Y))))]]) ).
cnf(refute_0_2901,plain,
( least_upper_bound(greatest_lower_bound(multiply(X,Z),X_524),multiply(X,least_upper_bound(Z,Y))) != multiply(X,least_upper_bound(Z,Y))
| least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))) = multiply(X,least_upper_bound(Z,Y)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))),least_upper_bound(greatest_lower_bound(multiply(X,Z),X_524),multiply(X,least_upper_bound(Z,Y)))) )],[refute_0_2899,refute_0_2900]) ).
cnf(refute_0_2902,plain,
least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))) = multiply(X,least_upper_bound(Z,Y)),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(multiply(X,Z),X_524),multiply(X,least_upper_bound(Z,Y))),multiply(X,least_upper_bound(Z,Y))) )],[refute_0_2892,refute_0_2901]) ).
cnf(refute_0_2903,plain,
( least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))) != multiply(X,least_upper_bound(Y,Z))
| least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))) != multiply(X,least_upper_bound(Z,Y))
| multiply(X,least_upper_bound(Z,Y)) = multiply(X,least_upper_bound(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))),multiply(X,least_upper_bound(Y,Z))) ),[0],$fot(multiply(X,least_upper_bound(Z,Y)))]]) ).
cnf(refute_0_2904,plain,
( least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))) != multiply(X,least_upper_bound(Y,Z))
| multiply(X,least_upper_bound(Z,Y)) = multiply(X,least_upper_bound(Y,Z)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))),multiply(X,least_upper_bound(Z,Y))) )],[refute_0_2902,refute_0_2903]) ).
cnf(refute_0_2905,plain,
multiply(X,least_upper_bound(Z,Y)) = multiply(X,least_upper_bound(Y,Z)),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X,Z),least_upper_bound(multiply(X,Y),greatest_lower_bound(multiply(X,Z),X_524))),multiply(X,least_upper_bound(Y,Z))) )],[refute_0_2879,refute_0_2904]) ).
cnf(refute_0_2906,plain,
( multiply(X,least_upper_bound(Z,Y)) != multiply(X,least_upper_bound(Y,Z))
| multiply(X,least_upper_bound(Y,Z)) = multiply(X,least_upper_bound(Z,Y)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(X,least_upper_bound(Z,Y)))),bind(Y0,$fot(multiply(X,least_upper_bound(Y,Z))))]]) ).
cnf(refute_0_2907,plain,
multiply(X,least_upper_bound(Y,Z)) = multiply(X,least_upper_bound(Z,Y)),
inference(resolve,[$cnf( $equal(multiply(X,least_upper_bound(Z,Y)),multiply(X,least_upper_bound(Y,Z))) )],[refute_0_2905,refute_0_2906]) ).
cnf(refute_0_2908,plain,
multiply(identity,least_upper_bound(inverse(greatest_lower_bound(X_76,X_77)),identity)) = multiply(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))),
inference(subst,[],[refute_0_2907:[bind(X,$fot(identity)),bind(Y,$fot(inverse(greatest_lower_bound(X_76,X_77)))),bind(Z,$fot(identity))]]) ).
cnf(refute_0_2909,plain,
( multiply(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))) != least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))
| multiply(identity,least_upper_bound(inverse(greatest_lower_bound(X_76,X_77)),identity)) != multiply(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))))
| multiply(identity,least_upper_bound(inverse(greatest_lower_bound(X_76,X_77)),identity)) = least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(identity,least_upper_bound(inverse(greatest_lower_bound(X_76,X_77)),identity)))),bind(Y0,$fot(multiply(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))))),bind(Z0,$fot(least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))))]]) ).
cnf(refute_0_2910,plain,
( multiply(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))) != least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))
| multiply(identity,least_upper_bound(inverse(greatest_lower_bound(X_76,X_77)),identity)) = least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))) ),
inference(resolve,[$cnf( $equal(multiply(identity,least_upper_bound(inverse(greatest_lower_bound(X_76,X_77)),identity)),multiply(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))))) )],[refute_0_2908,refute_0_2909]) ).
cnf(refute_0_2911,plain,
multiply(identity,least_upper_bound(inverse(greatest_lower_bound(X_76,X_77)),identity)) = least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))),
inference(resolve,[$cnf( $equal(multiply(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))),least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))) )],[refute_0_2866,refute_0_2910]) ).
cnf(refute_0_2912,plain,
multiply(X_129,least_upper_bound(X_130,identity)) = least_upper_bound(multiply(X_129,X_130),multiply(X_129,identity)),
inference(subst,[],[monotony_lub1:[bind(X,$fot(X_129)),bind(Y,$fot(X_130)),bind(Z,$fot(identity))]]) ).
cnf(refute_0_2913,plain,
X_129 = multiply(X_129,identity),
inference(subst,[],[refute_0_19:[bind(X,$fot(X_129))]]) ).
cnf(refute_0_2914,plain,
( X_129 != multiply(X_129,identity)
| multiply(X_129,identity) = X_129 ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(X_129)),bind(Y0,$fot(multiply(X_129,identity)))]]) ).
cnf(refute_0_2915,plain,
multiply(X_129,identity) = X_129,
inference(resolve,[$cnf( $equal(X_129,multiply(X_129,identity)) )],[refute_0_2913,refute_0_2914]) ).
cnf(refute_0_2916,plain,
( multiply(X_129,identity) != X_129
| multiply(X_129,least_upper_bound(X_130,identity)) != least_upper_bound(multiply(X_129,X_130),multiply(X_129,identity))
| multiply(X_129,least_upper_bound(X_130,identity)) = least_upper_bound(multiply(X_129,X_130),X_129) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_129,least_upper_bound(X_130,identity)),least_upper_bound(multiply(X_129,X_130),multiply(X_129,identity))) ),[1,1],$fot(X_129)]]) ).
cnf(refute_0_2917,plain,
( multiply(X_129,least_upper_bound(X_130,identity)) != least_upper_bound(multiply(X_129,X_130),multiply(X_129,identity))
| multiply(X_129,least_upper_bound(X_130,identity)) = least_upper_bound(multiply(X_129,X_130),X_129) ),
inference(resolve,[$cnf( $equal(multiply(X_129,identity),X_129) )],[refute_0_2915,refute_0_2916]) ).
cnf(refute_0_2918,plain,
multiply(X_129,least_upper_bound(X_130,identity)) = least_upper_bound(multiply(X_129,X_130),X_129),
inference(resolve,[$cnf( $equal(multiply(X_129,least_upper_bound(X_130,identity)),least_upper_bound(multiply(X_129,X_130),multiply(X_129,identity))) )],[refute_0_2912,refute_0_2917]) ).
cnf(refute_0_2919,plain,
least_upper_bound(multiply(X_129,X_130),X_129) = least_upper_bound(X_129,multiply(X_129,X_130)),
inference(subst,[],[refute_0_404:[bind(X,$fot(X_129)),bind(Y,$fot(multiply(X_129,X_130)))]]) ).
cnf(refute_0_2920,plain,
( multiply(X_129,least_upper_bound(X_130,identity)) != least_upper_bound(multiply(X_129,X_130),X_129)
| least_upper_bound(multiply(X_129,X_130),X_129) != least_upper_bound(X_129,multiply(X_129,X_130))
| multiply(X_129,least_upper_bound(X_130,identity)) = least_upper_bound(X_129,multiply(X_129,X_130)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_129,least_upper_bound(X_130,identity)),least_upper_bound(X_129,multiply(X_129,X_130))) ),[0],$fot(least_upper_bound(multiply(X_129,X_130),X_129))]]) ).
cnf(refute_0_2921,plain,
( multiply(X_129,least_upper_bound(X_130,identity)) != least_upper_bound(multiply(X_129,X_130),X_129)
| multiply(X_129,least_upper_bound(X_130,identity)) = least_upper_bound(X_129,multiply(X_129,X_130)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_129,X_130),X_129),least_upper_bound(X_129,multiply(X_129,X_130))) )],[refute_0_2919,refute_0_2920]) ).
cnf(refute_0_2922,plain,
multiply(X_129,least_upper_bound(X_130,identity)) = least_upper_bound(X_129,multiply(X_129,X_130)),
inference(resolve,[$cnf( $equal(multiply(X_129,least_upper_bound(X_130,identity)),least_upper_bound(multiply(X_129,X_130),X_129)) )],[refute_0_2918,refute_0_2921]) ).
cnf(refute_0_2923,plain,
( multiply(X_129,least_upper_bound(X_130,identity)) != least_upper_bound(X_129,multiply(X_129,X_130))
| least_upper_bound(X_129,multiply(X_129,X_130)) = multiply(X_129,least_upper_bound(X_130,identity)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(X_129,least_upper_bound(X_130,identity)))),bind(Y0,$fot(least_upper_bound(X_129,multiply(X_129,X_130))))]]) ).
cnf(refute_0_2924,plain,
least_upper_bound(X_129,multiply(X_129,X_130)) = multiply(X_129,least_upper_bound(X_130,identity)),
inference(resolve,[$cnf( $equal(multiply(X_129,least_upper_bound(X_130,identity)),least_upper_bound(X_129,multiply(X_129,X_130))) )],[refute_0_2922,refute_0_2923]) ).
cnf(refute_0_2925,plain,
least_upper_bound(identity,multiply(identity,inverse(greatest_lower_bound(X_76,X_77)))) = multiply(identity,least_upper_bound(inverse(greatest_lower_bound(X_76,X_77)),identity)),
inference(subst,[],[refute_0_2924:[bind(X_129,$fot(identity)),bind(X_130,$fot(inverse(greatest_lower_bound(X_76,X_77))))]]) ).
cnf(refute_0_2926,plain,
( multiply(identity,least_upper_bound(inverse(greatest_lower_bound(X_76,X_77)),identity)) != least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))
| least_upper_bound(identity,multiply(identity,inverse(greatest_lower_bound(X_76,X_77)))) != multiply(identity,least_upper_bound(inverse(greatest_lower_bound(X_76,X_77)),identity))
| least_upper_bound(identity,multiply(identity,inverse(greatest_lower_bound(X_76,X_77)))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,multiply(identity,inverse(greatest_lower_bound(X_76,X_77)))))),bind(Y0,$fot(multiply(identity,least_upper_bound(inverse(greatest_lower_bound(X_76,X_77)),identity)))),bind(Z0,$fot(least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))))]]) ).
cnf(refute_0_2927,plain,
( multiply(identity,least_upper_bound(inverse(greatest_lower_bound(X_76,X_77)),identity)) != least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))
| least_upper_bound(identity,multiply(identity,inverse(greatest_lower_bound(X_76,X_77)))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(identity,inverse(greatest_lower_bound(X_76,X_77)))),multiply(identity,least_upper_bound(inverse(greatest_lower_bound(X_76,X_77)),identity))) )],[refute_0_2925,refute_0_2926]) ).
cnf(refute_0_2928,plain,
least_upper_bound(identity,multiply(identity,inverse(greatest_lower_bound(X_76,X_77)))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))),
inference(resolve,[$cnf( $equal(multiply(identity,least_upper_bound(inverse(greatest_lower_bound(X_76,X_77)),identity)),least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))) )],[refute_0_2911,refute_0_2927]) ).
cnf(refute_0_2929,plain,
multiply(least_upper_bound(X_145,greatest_lower_bound(X_74,X_73)),inverse(greatest_lower_bound(X_74,X_73))) = least_upper_bound(identity,multiply(X_145,inverse(greatest_lower_bound(X_74,X_73)))),
inference(subst,[],[refute_0_593:[bind(X_139,$fot(X_145)),bind(X_140,$fot(greatest_lower_bound(X_74,X_73)))]]) ).
cnf(refute_0_2930,plain,
( multiply(least_upper_bound(X_145,greatest_lower_bound(X_74,X_73)),inverse(greatest_lower_bound(X_74,X_73))) != least_upper_bound(identity,multiply(X_145,inverse(greatest_lower_bound(X_74,X_73))))
| inverse(greatest_lower_bound(X_74,X_73)) != inverse(greatest_lower_bound(X_73,X_74))
| multiply(least_upper_bound(X_145,greatest_lower_bound(X_74,X_73)),inverse(greatest_lower_bound(X_73,X_74))) = least_upper_bound(identity,multiply(X_145,inverse(greatest_lower_bound(X_74,X_73)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_145,greatest_lower_bound(X_74,X_73)),inverse(greatest_lower_bound(X_74,X_73))),least_upper_bound(identity,multiply(X_145,inverse(greatest_lower_bound(X_74,X_73))))) ),[0,1],$fot(inverse(greatest_lower_bound(X_73,X_74)))]]) ).
cnf(refute_0_2931,plain,
( multiply(least_upper_bound(X_145,greatest_lower_bound(X_74,X_73)),inverse(greatest_lower_bound(X_74,X_73))) != least_upper_bound(identity,multiply(X_145,inverse(greatest_lower_bound(X_74,X_73))))
| multiply(least_upper_bound(X_145,greatest_lower_bound(X_74,X_73)),inverse(greatest_lower_bound(X_73,X_74))) = least_upper_bound(identity,multiply(X_145,inverse(greatest_lower_bound(X_74,X_73)))) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(X_74,X_73)),inverse(greatest_lower_bound(X_73,X_74))) )],[refute_0_2535,refute_0_2930]) ).
cnf(refute_0_2932,plain,
multiply(least_upper_bound(X_145,greatest_lower_bound(X_74,X_73)),inverse(greatest_lower_bound(X_73,X_74))) = least_upper_bound(identity,multiply(X_145,inverse(greatest_lower_bound(X_74,X_73)))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_145,greatest_lower_bound(X_74,X_73)),inverse(greatest_lower_bound(X_74,X_73))),least_upper_bound(identity,multiply(X_145,inverse(greatest_lower_bound(X_74,X_73))))) )],[refute_0_2929,refute_0_2931]) ).
cnf(refute_0_2933,plain,
multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76))) = least_upper_bound(identity,multiply(identity,inverse(greatest_lower_bound(X_76,X_77)))),
inference(subst,[],[refute_0_2932:[bind(X_145,$fot(identity)),bind(X_73,$fot(X_77)),bind(X_74,$fot(X_76))]]) ).
cnf(refute_0_2934,plain,
( multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76))) != least_upper_bound(identity,multiply(identity,inverse(greatest_lower_bound(X_76,X_77))))
| least_upper_bound(identity,multiply(identity,inverse(greatest_lower_bound(X_76,X_77)))) != least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))
| multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76))))),bind(Y0,$fot(least_upper_bound(identity,multiply(identity,inverse(greatest_lower_bound(X_76,X_77)))))),bind(Z0,$fot(least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))))]]) ).
cnf(refute_0_2935,plain,
( least_upper_bound(identity,multiply(identity,inverse(greatest_lower_bound(X_76,X_77)))) != least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))
| multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76))),least_upper_bound(identity,multiply(identity,inverse(greatest_lower_bound(X_76,X_77))))) )],[refute_0_2933,refute_0_2934]) ).
cnf(refute_0_2936,plain,
multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(identity,inverse(greatest_lower_bound(X_76,X_77)))),least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))) )],[refute_0_2928,refute_0_2935]) ).
cnf(refute_0_2937,plain,
least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))) = least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))),
introduced(tautology,[refl,[$fot(least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))))]]) ).
cnf(refute_0_2938,plain,
( multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76))) != least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))
| least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))) != least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76))))
| least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))) = least_upper_bound(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))),least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76))))) ),[1,1],$fot(least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))))]]) ).
cnf(refute_0_2939,plain,
( multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76))) != least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))
| least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))) = least_upper_bound(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))),least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76))))) )],[refute_0_2937,refute_0_2938]) ).
cnf(refute_0_2940,plain,
least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))) = least_upper_bound(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76))),least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))) )],[refute_0_2936,refute_0_2939]) ).
cnf(refute_0_2941,plain,
( least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))) != least_upper_bound(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))))
| least_upper_bound(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))) != least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))
| least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))))),bind(Y0,$fot(least_upper_bound(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))))),bind(Z0,$fot(least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))))]]) ).
cnf(refute_0_2942,plain,
( least_upper_bound(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))) != least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))
| least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))),least_upper_bound(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))))) )],[refute_0_2940,refute_0_2941]) ).
cnf(refute_0_2943,plain,
least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))),least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))) )],[refute_0_2865,refute_0_2942]) ).
cnf(refute_0_2944,plain,
( least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))) != least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))
| least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))) != least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity))
| least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))) = least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))),least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity))) ),[0],$fot(least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))))]]) ).
cnf(refute_0_2945,plain,
( least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))) != least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity))
| least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))) = least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))),least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77)))) )],[refute_0_2943,refute_0_2944]) ).
cnf(refute_0_2946,plain,
least_upper_bound(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76)))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76))),
inference(subst,[],[refute_0_506:[bind(X_16,$fot(identity)),bind(X_17,$fot(inverse(greatest_lower_bound(X_77,X_76))))]]) ).
cnf(refute_0_2947,plain,
multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))) = greatest_lower_bound(multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75)))),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(X_75))))),
inference(subst,[],[monotony_glb2:[bind(X,$fot(inverse(greatest_lower_bound(identity,inverse(X_75))))),bind(Y,$fot(greatest_lower_bound(X_75,identity))),bind(Z,$fot(X_86))]]) ).
cnf(refute_0_2948,plain,
( X_75 != multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75))))
| multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75)))) = X_75 ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(X_75)),bind(Y0,$fot(multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75))))))]]) ).
cnf(refute_0_2949,plain,
multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75)))) = X_75,
inference(resolve,[$cnf( $equal(X_75,multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75))))) )],[refute_0_961,refute_0_2948]) ).
cnf(refute_0_2950,plain,
( multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75)))) != X_75
| multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))) != greatest_lower_bound(multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75)))),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(X_75)))))
| multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))) = greatest_lower_bound(X_75,multiply(X_86,inverse(greatest_lower_bound(identity,inverse(X_75))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))),greatest_lower_bound(multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75)))),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(X_75)))))) ),[1,0],$fot(X_75)]]) ).
cnf(refute_0_2951,plain,
( multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))) != greatest_lower_bound(multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75)))),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(X_75)))))
| multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))) = greatest_lower_bound(X_75,multiply(X_86,inverse(greatest_lower_bound(identity,inverse(X_75))))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75)))),X_75) )],[refute_0_2949,refute_0_2950]) ).
cnf(refute_0_2952,plain,
multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))) = greatest_lower_bound(X_75,multiply(X_86,inverse(greatest_lower_bound(identity,inverse(X_75))))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))),greatest_lower_bound(multiply(greatest_lower_bound(X_75,identity),inverse(greatest_lower_bound(identity,inverse(X_75)))),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(X_75)))))) )],[refute_0_2947,refute_0_2951]) ).
cnf(refute_0_2953,plain,
greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86) = greatest_lower_bound(X_75,greatest_lower_bound(identity,X_86)),
inference(subst,[],[refute_0_761:[bind(X,$fot(X_75)),bind(Y,$fot(identity)),bind(Z,$fot(X_86))]]) ).
cnf(refute_0_2954,plain,
multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))) = multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))),
introduced(tautology,[refl,[$fot(multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))))]]) ).
cnf(refute_0_2955,plain,
( multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))) != multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75))))
| greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86) != greatest_lower_bound(X_75,greatest_lower_bound(identity,X_86))
| multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))) = multiply(greatest_lower_bound(X_75,greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(X_75)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))),multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75))))) ),[1,0],$fot(greatest_lower_bound(X_75,greatest_lower_bound(identity,X_86)))]]) ).
cnf(refute_0_2956,plain,
( greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86) != greatest_lower_bound(X_75,greatest_lower_bound(identity,X_86))
| multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))) = multiply(greatest_lower_bound(X_75,greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(X_75)))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))),multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75))))) )],[refute_0_2954,refute_0_2955]) ).
cnf(refute_0_2957,plain,
multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))) = multiply(greatest_lower_bound(X_75,greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(X_75)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),greatest_lower_bound(X_75,greatest_lower_bound(identity,X_86))) )],[refute_0_2953,refute_0_2956]) ).
cnf(refute_0_2958,plain,
( multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))) != multiply(greatest_lower_bound(X_75,greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(X_75))))
| multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))) != greatest_lower_bound(X_75,multiply(X_86,inverse(greatest_lower_bound(identity,inverse(X_75)))))
| multiply(greatest_lower_bound(X_75,greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(X_75)))) = greatest_lower_bound(X_75,multiply(X_86,inverse(greatest_lower_bound(identity,inverse(X_75))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))),greatest_lower_bound(X_75,multiply(X_86,inverse(greatest_lower_bound(identity,inverse(X_75)))))) ),[0],$fot(multiply(greatest_lower_bound(X_75,greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(X_75)))))]]) ).
cnf(refute_0_2959,plain,
( multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))) != greatest_lower_bound(X_75,multiply(X_86,inverse(greatest_lower_bound(identity,inverse(X_75)))))
| multiply(greatest_lower_bound(X_75,greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(X_75)))) = greatest_lower_bound(X_75,multiply(X_86,inverse(greatest_lower_bound(identity,inverse(X_75))))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))),multiply(greatest_lower_bound(X_75,greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(X_75))))) )],[refute_0_2957,refute_0_2958]) ).
cnf(refute_0_2960,plain,
multiply(greatest_lower_bound(X_75,greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(X_75)))) = greatest_lower_bound(X_75,multiply(X_86,inverse(greatest_lower_bound(identity,inverse(X_75))))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(greatest_lower_bound(X_75,identity),X_86),inverse(greatest_lower_bound(identity,inverse(X_75)))),greatest_lower_bound(X_75,multiply(X_86,inverse(greatest_lower_bound(identity,inverse(X_75)))))) )],[refute_0_2952,refute_0_2959]) ).
cnf(refute_0_2961,plain,
multiply(greatest_lower_bound(X_362,greatest_lower_bound(identity,least_upper_bound(identity,Y))),inverse(greatest_lower_bound(identity,inverse(X_362)))) = greatest_lower_bound(X_362,multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(X_362))))),
inference(subst,[],[refute_0_2960:[bind(X_75,$fot(X_362)),bind(X_86,$fot(least_upper_bound(identity,Y)))]]) ).
cnf(refute_0_2962,plain,
greatest_lower_bound(identity,least_upper_bound(identity,Y)) = identity,
inference(subst,[],[glb_absorbtion:[bind(X,$fot(identity))]]) ).
cnf(refute_0_2963,plain,
( multiply(greatest_lower_bound(X_362,greatest_lower_bound(identity,least_upper_bound(identity,Y))),inverse(greatest_lower_bound(identity,inverse(X_362)))) != greatest_lower_bound(X_362,multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(X_362)))))
| greatest_lower_bound(identity,least_upper_bound(identity,Y)) != identity
| multiply(greatest_lower_bound(X_362,identity),inverse(greatest_lower_bound(identity,inverse(X_362)))) = greatest_lower_bound(X_362,multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(X_362))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(X_362,greatest_lower_bound(identity,least_upper_bound(identity,Y))),inverse(greatest_lower_bound(identity,inverse(X_362)))),greatest_lower_bound(X_362,multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(X_362)))))) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_2964,plain,
( multiply(greatest_lower_bound(X_362,greatest_lower_bound(identity,least_upper_bound(identity,Y))),inverse(greatest_lower_bound(identity,inverse(X_362)))) != greatest_lower_bound(X_362,multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(X_362)))))
| multiply(greatest_lower_bound(X_362,identity),inverse(greatest_lower_bound(identity,inverse(X_362)))) = greatest_lower_bound(X_362,multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(X_362))))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,least_upper_bound(identity,Y)),identity) )],[refute_0_2962,refute_0_2963]) ).
cnf(refute_0_2965,plain,
multiply(greatest_lower_bound(X_362,identity),inverse(greatest_lower_bound(identity,inverse(X_362)))) = greatest_lower_bound(X_362,multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(X_362))))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_362,greatest_lower_bound(identity,least_upper_bound(identity,Y))),inverse(greatest_lower_bound(identity,inverse(X_362)))),greatest_lower_bound(X_362,multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(X_362)))))) )],[refute_0_2961,refute_0_2964]) ).
cnf(refute_0_2966,plain,
multiply(greatest_lower_bound(X_362,identity),inverse(greatest_lower_bound(identity,inverse(X_362)))) = X_362,
inference(subst,[],[refute_0_2949:[bind(X_75,$fot(X_362))]]) ).
cnf(refute_0_2967,plain,
( multiply(greatest_lower_bound(X_362,identity),inverse(greatest_lower_bound(identity,inverse(X_362)))) != X_362
| multiply(greatest_lower_bound(X_362,identity),inverse(greatest_lower_bound(identity,inverse(X_362)))) != greatest_lower_bound(X_362,multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(X_362)))))
| X_362 = greatest_lower_bound(X_362,multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(X_362))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(X_362,identity),inverse(greatest_lower_bound(identity,inverse(X_362)))),greatest_lower_bound(X_362,multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(X_362)))))) ),[0],$fot(X_362)]]) ).
cnf(refute_0_2968,plain,
( multiply(greatest_lower_bound(X_362,identity),inverse(greatest_lower_bound(identity,inverse(X_362)))) != greatest_lower_bound(X_362,multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(X_362)))))
| X_362 = greatest_lower_bound(X_362,multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(X_362))))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_362,identity),inverse(greatest_lower_bound(identity,inverse(X_362)))),X_362) )],[refute_0_2966,refute_0_2967]) ).
cnf(refute_0_2969,plain,
X_362 = greatest_lower_bound(X_362,multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(X_362))))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_362,identity),inverse(greatest_lower_bound(identity,inverse(X_362)))),greatest_lower_bound(X_362,multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(X_362)))))) )],[refute_0_2965,refute_0_2968]) ).
cnf(refute_0_2970,plain,
least_upper_bound(identity,least_upper_bound(X_567,X_566)) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))),
inference(subst,[],[refute_0_2969:[bind(X_362,$fot(least_upper_bound(identity,least_upper_bound(X_567,X_566))))]]) ).
cnf(refute_0_2971,plain,
greatest_lower_bound(X_14,least_upper_bound(least_upper_bound(X_36,X_37),X_14)) = X_14,
inference(subst,[],[refute_0_450:[bind(X_15,$fot(least_upper_bound(X_36,X_37)))]]) ).
cnf(refute_0_2972,plain,
least_upper_bound(X_36,least_upper_bound(X_37,X_14)) = least_upper_bound(least_upper_bound(X_36,X_37),X_14),
inference(subst,[],[associativity_of_lub:[bind(X,$fot(X_36)),bind(Y,$fot(X_37)),bind(Z,$fot(X_14))]]) ).
cnf(refute_0_2973,plain,
( least_upper_bound(X_36,least_upper_bound(X_37,X_14)) != least_upper_bound(least_upper_bound(X_36,X_37),X_14)
| least_upper_bound(least_upper_bound(X_36,X_37),X_14) = least_upper_bound(X_36,least_upper_bound(X_37,X_14)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_36,least_upper_bound(X_37,X_14)))),bind(Y0,$fot(least_upper_bound(least_upper_bound(X_36,X_37),X_14)))]]) ).
cnf(refute_0_2974,plain,
least_upper_bound(least_upper_bound(X_36,X_37),X_14) = least_upper_bound(X_36,least_upper_bound(X_37,X_14)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(X_37,X_14)),least_upper_bound(least_upper_bound(X_36,X_37),X_14)) )],[refute_0_2972,refute_0_2973]) ).
cnf(refute_0_2975,plain,
( greatest_lower_bound(X_14,least_upper_bound(least_upper_bound(X_36,X_37),X_14)) != X_14
| least_upper_bound(least_upper_bound(X_36,X_37),X_14) != least_upper_bound(X_36,least_upper_bound(X_37,X_14))
| greatest_lower_bound(X_14,least_upper_bound(X_36,least_upper_bound(X_37,X_14))) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_14,least_upper_bound(least_upper_bound(X_36,X_37),X_14)),X_14) ),[0,1],$fot(least_upper_bound(X_36,least_upper_bound(X_37,X_14)))]]) ).
cnf(refute_0_2976,plain,
( greatest_lower_bound(X_14,least_upper_bound(least_upper_bound(X_36,X_37),X_14)) != X_14
| greatest_lower_bound(X_14,least_upper_bound(X_36,least_upper_bound(X_37,X_14))) = X_14 ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_36,X_37),X_14),least_upper_bound(X_36,least_upper_bound(X_37,X_14))) )],[refute_0_2974,refute_0_2975]) ).
cnf(refute_0_2977,plain,
greatest_lower_bound(X_14,least_upper_bound(X_36,least_upper_bound(X_37,X_14))) = X_14,
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_14,least_upper_bound(least_upper_bound(X_36,X_37),X_14)),X_14) )],[refute_0_2971,refute_0_2976]) ).
cnf(refute_0_2978,plain,
greatest_lower_bound(inverse(least_upper_bound(identity,X_17)),least_upper_bound(X_204,least_upper_bound(identity,inverse(least_upper_bound(identity,X_17))))) = inverse(least_upper_bound(identity,X_17)),
inference(subst,[],[refute_0_2977:[bind(X_14,$fot(inverse(least_upper_bound(identity,X_17)))),bind(X_36,$fot(X_204)),bind(X_37,$fot(identity))]]) ).
cnf(refute_0_2979,plain,
multiply(inverse(least_upper_bound(identity,X_17)),least_upper_bound(identity,least_upper_bound(identity,X_17))) = least_upper_bound(identity,inverse(least_upper_bound(identity,X_17))),
inference(subst,[],[refute_0_416:[bind(X_135,$fot(least_upper_bound(identity,X_17)))]]) ).
cnf(refute_0_2980,plain,
least_upper_bound(identity,least_upper_bound(identity,X_17)) = least_upper_bound(identity,X_17),
inference(subst,[],[refute_0_506:[bind(X_16,$fot(identity))]]) ).
cnf(refute_0_2981,plain,
( multiply(inverse(least_upper_bound(identity,X_17)),least_upper_bound(identity,least_upper_bound(identity,X_17))) != least_upper_bound(identity,inverse(least_upper_bound(identity,X_17)))
| least_upper_bound(identity,least_upper_bound(identity,X_17)) != least_upper_bound(identity,X_17)
| multiply(inverse(least_upper_bound(identity,X_17)),least_upper_bound(identity,X_17)) = least_upper_bound(identity,inverse(least_upper_bound(identity,X_17))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(least_upper_bound(identity,X_17)),least_upper_bound(identity,least_upper_bound(identity,X_17))),least_upper_bound(identity,inverse(least_upper_bound(identity,X_17)))) ),[0,1],$fot(least_upper_bound(identity,X_17))]]) ).
cnf(refute_0_2982,plain,
( multiply(inverse(least_upper_bound(identity,X_17)),least_upper_bound(identity,least_upper_bound(identity,X_17))) != least_upper_bound(identity,inverse(least_upper_bound(identity,X_17)))
| multiply(inverse(least_upper_bound(identity,X_17)),least_upper_bound(identity,X_17)) = least_upper_bound(identity,inverse(least_upper_bound(identity,X_17))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(identity,X_17)),least_upper_bound(identity,X_17)) )],[refute_0_2980,refute_0_2981]) ).
cnf(refute_0_2983,plain,
multiply(inverse(least_upper_bound(identity,X_17)),least_upper_bound(identity,X_17)) = least_upper_bound(identity,inverse(least_upper_bound(identity,X_17))),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(identity,X_17)),least_upper_bound(identity,least_upper_bound(identity,X_17))),least_upper_bound(identity,inverse(least_upper_bound(identity,X_17)))) )],[refute_0_2979,refute_0_2982]) ).
cnf(refute_0_2984,plain,
multiply(inverse(least_upper_bound(identity,X_17)),least_upper_bound(identity,X_17)) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(least_upper_bound(identity,X_17)))]]) ).
cnf(refute_0_2985,plain,
( multiply(inverse(least_upper_bound(identity,X_17)),least_upper_bound(identity,X_17)) != identity
| multiply(inverse(least_upper_bound(identity,X_17)),least_upper_bound(identity,X_17)) != least_upper_bound(identity,inverse(least_upper_bound(identity,X_17)))
| identity = least_upper_bound(identity,inverse(least_upper_bound(identity,X_17))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(least_upper_bound(identity,X_17)),least_upper_bound(identity,X_17)),least_upper_bound(identity,inverse(least_upper_bound(identity,X_17)))) ),[0],$fot(identity)]]) ).
cnf(refute_0_2986,plain,
( multiply(inverse(least_upper_bound(identity,X_17)),least_upper_bound(identity,X_17)) != least_upper_bound(identity,inverse(least_upper_bound(identity,X_17)))
| identity = least_upper_bound(identity,inverse(least_upper_bound(identity,X_17))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(identity,X_17)),least_upper_bound(identity,X_17)),identity) )],[refute_0_2984,refute_0_2985]) ).
cnf(refute_0_2987,plain,
identity = least_upper_bound(identity,inverse(least_upper_bound(identity,X_17))),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(identity,X_17)),least_upper_bound(identity,X_17)),least_upper_bound(identity,inverse(least_upper_bound(identity,X_17)))) )],[refute_0_2983,refute_0_2986]) ).
cnf(refute_0_2988,plain,
( identity != least_upper_bound(identity,inverse(least_upper_bound(identity,X_17)))
| least_upper_bound(identity,inverse(least_upper_bound(identity,X_17))) = identity ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(identity)),bind(Y0,$fot(least_upper_bound(identity,inverse(least_upper_bound(identity,X_17)))))]]) ).
cnf(refute_0_2989,plain,
least_upper_bound(identity,inverse(least_upper_bound(identity,X_17))) = identity,
inference(resolve,[$cnf( $equal(identity,least_upper_bound(identity,inverse(least_upper_bound(identity,X_17)))) )],[refute_0_2987,refute_0_2988]) ).
cnf(refute_0_2990,plain,
( greatest_lower_bound(inverse(least_upper_bound(identity,X_17)),least_upper_bound(X_204,least_upper_bound(identity,inverse(least_upper_bound(identity,X_17))))) != inverse(least_upper_bound(identity,X_17))
| least_upper_bound(identity,inverse(least_upper_bound(identity,X_17))) != identity
| greatest_lower_bound(inverse(least_upper_bound(identity,X_17)),least_upper_bound(X_204,identity)) = inverse(least_upper_bound(identity,X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(identity,X_17)),least_upper_bound(X_204,least_upper_bound(identity,inverse(least_upper_bound(identity,X_17))))),inverse(least_upper_bound(identity,X_17))) ),[0,1,1],$fot(identity)]]) ).
cnf(refute_0_2991,plain,
( greatest_lower_bound(inverse(least_upper_bound(identity,X_17)),least_upper_bound(X_204,least_upper_bound(identity,inverse(least_upper_bound(identity,X_17))))) != inverse(least_upper_bound(identity,X_17))
| greatest_lower_bound(inverse(least_upper_bound(identity,X_17)),least_upper_bound(X_204,identity)) = inverse(least_upper_bound(identity,X_17)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,inverse(least_upper_bound(identity,X_17))),identity) )],[refute_0_2989,refute_0_2990]) ).
cnf(refute_0_2992,plain,
greatest_lower_bound(inverse(least_upper_bound(identity,X_17)),least_upper_bound(X_204,identity)) = inverse(least_upper_bound(identity,X_17)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(identity,X_17)),least_upper_bound(X_204,least_upper_bound(identity,inverse(least_upper_bound(identity,X_17))))),inverse(least_upper_bound(identity,X_17))) )],[refute_0_2978,refute_0_2991]) ).
cnf(refute_0_2993,plain,
greatest_lower_bound(inverse(least_upper_bound(identity,least_upper_bound(X_37,X))),least_upper_bound(X_207,identity)) = inverse(least_upper_bound(identity,least_upper_bound(X_37,X))),
inference(subst,[],[refute_0_2992:[bind(X_17,$fot(least_upper_bound(X_37,X))),bind(X_204,$fot(X_207))]]) ).
cnf(refute_0_2994,plain,
least_upper_bound(X,least_upper_bound(identity,X_37)) = least_upper_bound(identity,least_upper_bound(X_37,X)),
inference(subst,[],[refute_0_1038:[bind(X_36,$fot(identity))]]) ).
cnf(refute_0_2995,plain,
( least_upper_bound(X,least_upper_bound(identity,X_37)) != least_upper_bound(identity,least_upper_bound(X_37,X))
| least_upper_bound(identity,least_upper_bound(X_37,X)) = least_upper_bound(X,least_upper_bound(identity,X_37)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X,least_upper_bound(identity,X_37)))),bind(Y0,$fot(least_upper_bound(identity,least_upper_bound(X_37,X))))]]) ).
cnf(refute_0_2996,plain,
least_upper_bound(identity,least_upper_bound(X_37,X)) = least_upper_bound(X,least_upper_bound(identity,X_37)),
inference(resolve,[$cnf( $equal(least_upper_bound(X,least_upper_bound(identity,X_37)),least_upper_bound(identity,least_upper_bound(X_37,X))) )],[refute_0_2994,refute_0_2995]) ).
cnf(refute_0_2997,plain,
( greatest_lower_bound(inverse(least_upper_bound(identity,least_upper_bound(X_37,X))),least_upper_bound(X_207,identity)) != inverse(least_upper_bound(identity,least_upper_bound(X_37,X)))
| least_upper_bound(identity,least_upper_bound(X_37,X)) != least_upper_bound(X,least_upper_bound(identity,X_37))
| greatest_lower_bound(inverse(least_upper_bound(X,least_upper_bound(identity,X_37))),least_upper_bound(X_207,identity)) = inverse(least_upper_bound(identity,least_upper_bound(X_37,X))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(identity,least_upper_bound(X_37,X))),least_upper_bound(X_207,identity)),inverse(least_upper_bound(identity,least_upper_bound(X_37,X)))) ),[0,0,0],$fot(least_upper_bound(X,least_upper_bound(identity,X_37)))]]) ).
cnf(refute_0_2998,plain,
( greatest_lower_bound(inverse(least_upper_bound(identity,least_upper_bound(X_37,X))),least_upper_bound(X_207,identity)) != inverse(least_upper_bound(identity,least_upper_bound(X_37,X)))
| greatest_lower_bound(inverse(least_upper_bound(X,least_upper_bound(identity,X_37))),least_upper_bound(X_207,identity)) = inverse(least_upper_bound(identity,least_upper_bound(X_37,X))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_37,X)),least_upper_bound(X,least_upper_bound(identity,X_37))) )],[refute_0_2996,refute_0_2997]) ).
cnf(refute_0_2999,plain,
greatest_lower_bound(inverse(least_upper_bound(X,least_upper_bound(identity,X_37))),least_upper_bound(X_207,identity)) = inverse(least_upper_bound(identity,least_upper_bound(X_37,X))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(identity,least_upper_bound(X_37,X))),least_upper_bound(X_207,identity)),inverse(least_upper_bound(identity,least_upper_bound(X_37,X)))) )],[refute_0_2993,refute_0_2998]) ).
cnf(refute_0_3000,plain,
greatest_lower_bound(inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))),least_upper_bound(X_207,identity)) = inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))),
inference(subst,[],[refute_0_2992:[bind(X_17,$fot(least_upper_bound(X_36,least_upper_bound(identity,X_15)))),bind(X_204,$fot(X_207))]]) ).
cnf(refute_0_3001,plain,
least_upper_bound(X_36,least_upper_bound(identity,X_15)) = least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))),
inference(subst,[],[refute_0_1047:[bind(X_37,$fot(identity))]]) ).
cnf(refute_0_3002,plain,
( least_upper_bound(X_36,least_upper_bound(identity,X_15)) != least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))
| least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))) = least_upper_bound(X_36,least_upper_bound(identity,X_15)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_36,least_upper_bound(identity,X_15)))),bind(Y0,$fot(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))))]]) ).
cnf(refute_0_3003,plain,
least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))) = least_upper_bound(X_36,least_upper_bound(identity,X_15)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(identity,X_15)),least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))) )],[refute_0_3001,refute_0_3002]) ).
cnf(refute_0_3004,plain,
( greatest_lower_bound(inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))),least_upper_bound(X_207,identity)) != inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))))
| least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))) != least_upper_bound(X_36,least_upper_bound(identity,X_15))
| greatest_lower_bound(inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))),least_upper_bound(X_207,identity)) = inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))),least_upper_bound(X_207,identity)),inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))))) ),[0,0,0],$fot(least_upper_bound(X_36,least_upper_bound(identity,X_15)))]]) ).
cnf(refute_0_3005,plain,
( greatest_lower_bound(inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))),least_upper_bound(X_207,identity)) != inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))))
| greatest_lower_bound(inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))),least_upper_bound(X_207,identity)) = inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))),least_upper_bound(X_36,least_upper_bound(identity,X_15))) )],[refute_0_3003,refute_0_3004]) ).
cnf(refute_0_3006,plain,
greatest_lower_bound(inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))),least_upper_bound(X_207,identity)) = inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))),least_upper_bound(X_207,identity)),inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))))) )],[refute_0_3000,refute_0_3005]) ).
cnf(refute_0_3007,plain,
inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))) = inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))),
introduced(tautology,[refl,[$fot(inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))))]]) ).
cnf(refute_0_3008,plain,
( inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))) != inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))))
| least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))) != least_upper_bound(X_36,least_upper_bound(identity,X_15))
| inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))) = inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))),inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))))) ),[1,0],$fot(least_upper_bound(X_36,least_upper_bound(identity,X_15)))]]) ).
cnf(refute_0_3009,plain,
( least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))) != least_upper_bound(X_36,least_upper_bound(identity,X_15))
| inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))) = inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))) ),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))),inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))))) )],[refute_0_3007,refute_0_3008]) ).
cnf(refute_0_3010,plain,
inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))) = inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))),least_upper_bound(X_36,least_upper_bound(identity,X_15))) )],[refute_0_3003,refute_0_3009]) ).
cnf(refute_0_3011,plain,
( greatest_lower_bound(inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))),least_upper_bound(X_207,identity)) != inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))))
| inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))) != inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15)))
| greatest_lower_bound(inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))),least_upper_bound(X_207,identity)) = inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))),least_upper_bound(X_207,identity)),inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15)))) ),[0],$fot(inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))))]]) ).
cnf(refute_0_3012,plain,
( greatest_lower_bound(inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))),least_upper_bound(X_207,identity)) != inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))))
| greatest_lower_bound(inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))),least_upper_bound(X_207,identity)) = inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))) ),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))),inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15)))) )],[refute_0_3010,refute_0_3011]) ).
cnf(refute_0_3013,plain,
greatest_lower_bound(inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))),least_upper_bound(X_207,identity)) = inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))),least_upper_bound(X_207,identity)),inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))))) )],[refute_0_3006,refute_0_3012]) ).
cnf(refute_0_3014,plain,
greatest_lower_bound(inverse(least_upper_bound(X,least_upper_bound(identity,X_37))),least_upper_bound(X_207,identity)) = inverse(least_upper_bound(X,least_upper_bound(identity,X_37))),
inference(subst,[],[refute_0_3013:[bind(X_15,$fot(X_37)),bind(X_36,$fot(X))]]) ).
cnf(refute_0_3015,plain,
( greatest_lower_bound(inverse(least_upper_bound(X,least_upper_bound(identity,X_37))),least_upper_bound(X_207,identity)) != inverse(least_upper_bound(X,least_upper_bound(identity,X_37)))
| greatest_lower_bound(inverse(least_upper_bound(X,least_upper_bound(identity,X_37))),least_upper_bound(X_207,identity)) != inverse(least_upper_bound(identity,least_upper_bound(X_37,X)))
| inverse(least_upper_bound(X,least_upper_bound(identity,X_37))) = inverse(least_upper_bound(identity,least_upper_bound(X_37,X))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X,least_upper_bound(identity,X_37))),least_upper_bound(X_207,identity)),inverse(least_upper_bound(identity,least_upper_bound(X_37,X)))) ),[0],$fot(inverse(least_upper_bound(X,least_upper_bound(identity,X_37))))]]) ).
cnf(refute_0_3016,plain,
( greatest_lower_bound(inverse(least_upper_bound(X,least_upper_bound(identity,X_37))),least_upper_bound(X_207,identity)) != inverse(least_upper_bound(identity,least_upper_bound(X_37,X)))
| inverse(least_upper_bound(X,least_upper_bound(identity,X_37))) = inverse(least_upper_bound(identity,least_upper_bound(X_37,X))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X,least_upper_bound(identity,X_37))),least_upper_bound(X_207,identity)),inverse(least_upper_bound(X,least_upper_bound(identity,X_37)))) )],[refute_0_3014,refute_0_3015]) ).
cnf(refute_0_3017,plain,
inverse(least_upper_bound(X,least_upper_bound(identity,X_37))) = inverse(least_upper_bound(identity,least_upper_bound(X_37,X))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X,least_upper_bound(identity,X_37))),least_upper_bound(X_207,identity)),inverse(least_upper_bound(identity,least_upper_bound(X_37,X)))) )],[refute_0_2999,refute_0_3016]) ).
cnf(refute_0_3018,plain,
inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))) = inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))),
inference(subst,[],[refute_0_3017:[bind(X,$fot(X_566)),bind(X_37,$fot(X_567))]]) ).
cnf(refute_0_3019,plain,
( inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))) != inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))
| inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))) = inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))),bind(Y0,$fot(inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))]]) ).
cnf(refute_0_3020,plain,
inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))) = inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))),inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))) )],[refute_0_3018,refute_0_3019]) ).
cnf(refute_0_3021,plain,
( inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))) != inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))
| least_upper_bound(identity,least_upper_bound(X_567,X_566)) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))
| least_upper_bound(identity,least_upper_bound(X_567,X_566)) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))) ),[1,1,1,0,1],$fot(inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))]]) ).
cnf(refute_0_3022,plain,
( least_upper_bound(identity,least_upper_bound(X_567,X_566)) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))
| least_upper_bound(identity,least_upper_bound(X_567,X_566)) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) ),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))),inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))) )],[refute_0_3020,refute_0_3021]) ).
cnf(refute_0_3023,plain,
least_upper_bound(identity,least_upper_bound(X_567,X_566)) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))) )],[refute_0_2970,refute_0_3022]) ).
cnf(refute_0_3024,plain,
inverse(inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))) = least_upper_bound(X_566,least_upper_bound(identity,X_567)),
inference(subst,[],[p20_2:[bind(X,$fot(least_upper_bound(X_566,least_upper_bound(identity,X_567))))]]) ).
cnf(refute_0_3025,plain,
multiply(inverse(least_upper_bound(identity,Y)),greatest_lower_bound(identity,least_upper_bound(identity,Y))) = greatest_lower_bound(identity,inverse(least_upper_bound(identity,Y))),
inference(subst,[],[refute_0_55:[bind(X_75,$fot(least_upper_bound(identity,Y)))]]) ).
cnf(refute_0_3026,plain,
( multiply(inverse(least_upper_bound(identity,Y)),greatest_lower_bound(identity,least_upper_bound(identity,Y))) != greatest_lower_bound(identity,inverse(least_upper_bound(identity,Y)))
| greatest_lower_bound(identity,least_upper_bound(identity,Y)) != identity
| multiply(inverse(least_upper_bound(identity,Y)),identity) = greatest_lower_bound(identity,inverse(least_upper_bound(identity,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(least_upper_bound(identity,Y)),greatest_lower_bound(identity,least_upper_bound(identity,Y))),greatest_lower_bound(identity,inverse(least_upper_bound(identity,Y)))) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_3027,plain,
( multiply(inverse(least_upper_bound(identity,Y)),greatest_lower_bound(identity,least_upper_bound(identity,Y))) != greatest_lower_bound(identity,inverse(least_upper_bound(identity,Y)))
| multiply(inverse(least_upper_bound(identity,Y)),identity) = greatest_lower_bound(identity,inverse(least_upper_bound(identity,Y))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,least_upper_bound(identity,Y)),identity) )],[refute_0_2962,refute_0_3026]) ).
cnf(refute_0_3028,plain,
multiply(inverse(least_upper_bound(identity,Y)),identity) = greatest_lower_bound(identity,inverse(least_upper_bound(identity,Y))),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(identity,Y)),greatest_lower_bound(identity,least_upper_bound(identity,Y))),greatest_lower_bound(identity,inverse(least_upper_bound(identity,Y)))) )],[refute_0_3025,refute_0_3027]) ).
cnf(refute_0_3029,plain,
multiply(inverse(least_upper_bound(identity,Y)),identity) = inverse(least_upper_bound(identity,Y)),
inference(subst,[],[refute_0_573:[bind(X,$fot(inverse(least_upper_bound(identity,Y))))]]) ).
cnf(refute_0_3030,plain,
( multiply(inverse(least_upper_bound(identity,Y)),identity) != greatest_lower_bound(identity,inverse(least_upper_bound(identity,Y)))
| multiply(inverse(least_upper_bound(identity,Y)),identity) != inverse(least_upper_bound(identity,Y))
| inverse(least_upper_bound(identity,Y)) = greatest_lower_bound(identity,inverse(least_upper_bound(identity,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(least_upper_bound(identity,Y)),identity),greatest_lower_bound(identity,inverse(least_upper_bound(identity,Y)))) ),[0],$fot(inverse(least_upper_bound(identity,Y)))]]) ).
cnf(refute_0_3031,plain,
( multiply(inverse(least_upper_bound(identity,Y)),identity) != greatest_lower_bound(identity,inverse(least_upper_bound(identity,Y)))
| inverse(least_upper_bound(identity,Y)) = greatest_lower_bound(identity,inverse(least_upper_bound(identity,Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(identity,Y)),identity),inverse(least_upper_bound(identity,Y))) )],[refute_0_3029,refute_0_3030]) ).
cnf(refute_0_3032,plain,
inverse(least_upper_bound(identity,Y)) = greatest_lower_bound(identity,inverse(least_upper_bound(identity,Y))),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(identity,Y)),identity),greatest_lower_bound(identity,inverse(least_upper_bound(identity,Y)))) )],[refute_0_3028,refute_0_3031]) ).
cnf(refute_0_3033,plain,
inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))) = greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))))),
inference(subst,[],[refute_0_3032:[bind(Y,$fot(least_upper_bound(X_36,least_upper_bound(identity,X_15))))]]) ).
cnf(refute_0_3034,plain,
( inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))) != greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))))
| least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))) != least_upper_bound(X_36,least_upper_bound(identity,X_15))
| inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))) = greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))),greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))))) ),[1,1,0],$fot(least_upper_bound(X_36,least_upper_bound(identity,X_15)))]]) ).
cnf(refute_0_3035,plain,
( inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))) != greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))))
| inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))) = greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15))),least_upper_bound(X_36,least_upper_bound(identity,X_15))) )],[refute_0_3003,refute_0_3034]) ).
cnf(refute_0_3036,plain,
inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))) = greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15)))),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))),greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))))) )],[refute_0_3033,refute_0_3035]) ).
cnf(refute_0_3037,plain,
( inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))) != greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))))
| inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))) != inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15)))
| inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))) = greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))),greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))))) ),[0],$fot(inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))))]]) ).
cnf(refute_0_3038,plain,
( inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))) != greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))))
| inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))) = greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15)))) ),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))),inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15)))) )],[refute_0_3010,refute_0_3037]) ).
cnf(refute_0_3039,plain,
inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))) = greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15)))),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(identity,X_15)))),greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))))) )],[refute_0_3036,refute_0_3038]) ).
cnf(refute_0_3040,plain,
( inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))) != greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))))
| greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15)))) = inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))))),bind(Y0,$fot(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))))))]]) ).
cnf(refute_0_3041,plain,
greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15)))) = inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))),greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(identity,X_15))))) )],[refute_0_3039,refute_0_3040]) ).
cnf(refute_0_3042,plain,
greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))) = inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))),
inference(subst,[],[refute_0_3041:[bind(X_15,$fot(X_567)),bind(X_36,$fot(X_566))]]) ).
cnf(refute_0_3043,plain,
inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))) = inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))),
introduced(tautology,[refl,[$fot(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))]]) ).
cnf(refute_0_3044,plain,
( greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))) != inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))
| inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))) != inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))
| inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))) = inverse(inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) ),[1,0],$fot(inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))]]) ).
cnf(refute_0_3045,plain,
( greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))) != inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))
| inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))) = inverse(inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) )],[refute_0_3043,refute_0_3044]) ).
cnf(refute_0_3046,plain,
inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))) = inverse(inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))),inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))) )],[refute_0_3042,refute_0_3045]) ).
cnf(refute_0_3047,plain,
( inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))) != inverse(inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))
| inverse(inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))) != least_upper_bound(X_566,least_upper_bound(identity,X_567))
| inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))) = least_upper_bound(X_566,least_upper_bound(identity,X_567)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))),bind(Y0,$fot(inverse(inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),bind(Z0,$fot(least_upper_bound(X_566,least_upper_bound(identity,X_567))))]]) ).
cnf(refute_0_3048,plain,
( inverse(inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))) != least_upper_bound(X_566,least_upper_bound(identity,X_567))
| inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))) = least_upper_bound(X_566,least_upper_bound(identity,X_567)) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))),inverse(inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))) )],[refute_0_3046,refute_0_3047]) ).
cnf(refute_0_3049,plain,
inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))) = least_upper_bound(X_566,least_upper_bound(identity,X_567)),
inference(resolve,[$cnf( $equal(inverse(inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))),least_upper_bound(X_566,least_upper_bound(identity,X_567))) )],[refute_0_3024,refute_0_3048]) ).
cnf(refute_0_3050,plain,
multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),
introduced(tautology,[refl,[$fot(multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))]]) ).
cnf(refute_0_3051,plain,
( multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) != multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))
| inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))) != least_upper_bound(X_566,least_upper_bound(identity,X_567))
| multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) ),[1,1],$fot(least_upper_bound(X_566,least_upper_bound(identity,X_567)))]]) ).
cnf(refute_0_3052,plain,
( inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))) != least_upper_bound(X_566,least_upper_bound(identity,X_567))
| multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) )],[refute_0_3050,refute_0_3051]) ).
cnf(refute_0_3053,plain,
multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567))),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))),least_upper_bound(X_566,least_upper_bound(identity,X_567))) )],[refute_0_3049,refute_0_3052]) ).
cnf(refute_0_3054,plain,
greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))))]]) ).
cnf(refute_0_3055,plain,
( multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) != multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))) ),[1,1],$fot(multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567))))]]) ).
cnf(refute_0_3056,plain,
( multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) != multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))) )],[refute_0_3054,refute_0_3055]) ).
cnf(refute_0_3057,plain,
greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) )],[refute_0_3053,refute_0_3056]) ).
cnf(refute_0_3058,plain,
( greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567))))
| least_upper_bound(identity,least_upper_bound(X_567,X_566)) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))
| least_upper_bound(identity,least_upper_bound(X_567,X_566)) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))) ),[1],$fot(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))))]]) ).
cnf(refute_0_3059,plain,
( least_upper_bound(identity,least_upper_bound(X_567,X_566)) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))
| least_upper_bound(identity,least_upper_bound(X_567,X_566)) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567))))) )],[refute_0_3057,refute_0_3058]) ).
cnf(refute_0_3060,plain,
least_upper_bound(identity,least_upper_bound(X_567,X_566)) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))) )],[refute_0_3023,refute_0_3059]) ).
cnf(refute_0_3061,plain,
multiply(identity,least_upper_bound(X_566,least_upper_bound(identity,X_567))) = least_upper_bound(X_566,least_upper_bound(identity,X_567)),
inference(subst,[],[left_identity:[bind(X,$fot(least_upper_bound(X_566,least_upper_bound(identity,X_567))))]]) ).
cnf(refute_0_3062,plain,
multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))) = multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))),
introduced(tautology,[refl,[$fot(multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))))]]) ).
cnf(refute_0_3063,plain,
( multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))) != multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567)))
| greatest_lower_bound(identity,least_upper_bound(identity,Y)) != identity
| multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))) = multiply(identity,least_upper_bound(X_566,least_upper_bound(identity,X_567))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))),multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_3064,plain,
( greatest_lower_bound(identity,least_upper_bound(identity,Y)) != identity
| multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))) = multiply(identity,least_upper_bound(X_566,least_upper_bound(identity,X_567))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))),multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) )],[refute_0_3062,refute_0_3063]) ).
cnf(refute_0_3065,plain,
multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))) = multiply(identity,least_upper_bound(X_566,least_upper_bound(identity,X_567))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,least_upper_bound(identity,Y)),identity) )],[refute_0_2962,refute_0_3064]) ).
cnf(refute_0_3066,plain,
( multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))) != multiply(identity,least_upper_bound(X_566,least_upper_bound(identity,X_567)))
| multiply(identity,least_upper_bound(X_566,least_upper_bound(identity,X_567))) != least_upper_bound(X_566,least_upper_bound(identity,X_567))
| multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))) = least_upper_bound(X_566,least_upper_bound(identity,X_567)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))))),bind(Y0,$fot(multiply(identity,least_upper_bound(X_566,least_upper_bound(identity,X_567))))),bind(Z0,$fot(least_upper_bound(X_566,least_upper_bound(identity,X_567))))]]) ).
cnf(refute_0_3067,plain,
( multiply(identity,least_upper_bound(X_566,least_upper_bound(identity,X_567))) != least_upper_bound(X_566,least_upper_bound(identity,X_567))
| multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))) = least_upper_bound(X_566,least_upper_bound(identity,X_567)) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))),multiply(identity,least_upper_bound(X_566,least_upper_bound(identity,X_567)))) )],[refute_0_3065,refute_0_3066]) ).
cnf(refute_0_3068,plain,
multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))) = least_upper_bound(X_566,least_upper_bound(identity,X_567)),
inference(resolve,[$cnf( $equal(multiply(identity,least_upper_bound(X_566,least_upper_bound(identity,X_567))),least_upper_bound(X_566,least_upper_bound(identity,X_567))) )],[refute_0_3061,refute_0_3067]) ).
cnf(refute_0_3069,plain,
multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))),
inference(subst,[],[refute_0_2960:[bind(X_75,$fot(least_upper_bound(identity,least_upper_bound(X_567,X_566))))]]) ).
cnf(refute_0_3070,plain,
( multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))
| inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))) != inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))
| multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))) ),[0,1,0,1],$fot(inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))]]) ).
cnf(refute_0_3071,plain,
( multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))
| multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))) ),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))),inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))) )],[refute_0_3020,refute_0_3070]) ).
cnf(refute_0_3072,plain,
multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))) )],[refute_0_3069,refute_0_3071]) ).
cnf(refute_0_3073,plain,
multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),
introduced(tautology,[refl,[$fot(multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))]]) ).
cnf(refute_0_3074,plain,
( multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) != multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))
| inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))) != least_upper_bound(X_566,least_upper_bound(identity,X_567))
| multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) ),[1,1],$fot(least_upper_bound(X_566,least_upper_bound(identity,X_567)))]]) ).
cnf(refute_0_3075,plain,
( inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))) != least_upper_bound(X_566,least_upper_bound(identity,X_567))
| multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) )],[refute_0_3073,refute_0_3074]) ).
cnf(refute_0_3076,plain,
multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))),least_upper_bound(X_566,least_upper_bound(identity,X_567))) )],[refute_0_3049,refute_0_3075]) ).
cnf(refute_0_3077,plain,
greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_43,Y),X_45)) = greatest_lower_bound(greatest_lower_bound(X_43,least_upper_bound(X_43,Y)),X_45),
inference(subst,[],[associativity_of_glb:[bind(X,$fot(X_43)),bind(Y,$fot(least_upper_bound(X_43,Y))),bind(Z,$fot(X_45))]]) ).
cnf(refute_0_3078,plain,
greatest_lower_bound(X_43,least_upper_bound(X_43,Y)) = X_43,
inference(subst,[],[glb_absorbtion:[bind(X,$fot(X_43))]]) ).
cnf(refute_0_3079,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_43,Y),X_45)) != greatest_lower_bound(greatest_lower_bound(X_43,least_upper_bound(X_43,Y)),X_45)
| greatest_lower_bound(X_43,least_upper_bound(X_43,Y)) != X_43
| greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_43,Y),X_45)) = greatest_lower_bound(X_43,X_45) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_43,Y),X_45)),greatest_lower_bound(greatest_lower_bound(X_43,least_upper_bound(X_43,Y)),X_45)) ),[1,0],$fot(X_43)]]) ).
cnf(refute_0_3080,plain,
( greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_43,Y),X_45)) != greatest_lower_bound(greatest_lower_bound(X_43,least_upper_bound(X_43,Y)),X_45)
| greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_43,Y),X_45)) = greatest_lower_bound(X_43,X_45) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,least_upper_bound(X_43,Y)),X_43) )],[refute_0_3078,refute_0_3079]) ).
cnf(refute_0_3081,plain,
greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_43,Y),X_45)) = greatest_lower_bound(X_43,X_45),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_43,Y),X_45)),greatest_lower_bound(greatest_lower_bound(X_43,least_upper_bound(X_43,Y)),X_45)) )],[refute_0_3077,refute_0_3080]) ).
cnf(refute_0_3082,plain,
greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)) = greatest_lower_bound(identity,X_86),
inference(subst,[],[refute_0_3081:[bind(Y,$fot(least_upper_bound(X_567,X_566))),bind(X_43,$fot(identity)),bind(X_45,$fot(X_86))]]) ).
cnf(refute_0_3083,plain,
multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),
introduced(tautology,[refl,[$fot(multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))]]) ).
cnf(refute_0_3084,plain,
( multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) != multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))
| greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)) != greatest_lower_bound(identity,X_86)
| multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) ),[1,0],$fot(greatest_lower_bound(identity,X_86))]]) ).
cnf(refute_0_3085,plain,
( greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)) != greatest_lower_bound(identity,X_86)
| multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) )],[refute_0_3083,refute_0_3084]) ).
cnf(refute_0_3086,plain,
multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),greatest_lower_bound(identity,X_86)) )],[refute_0_3082,refute_0_3085]) ).
cnf(refute_0_3087,plain,
( multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) != multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567)))
| multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) != multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))
| multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))),bind(Y0,$fot(multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))),bind(Z0,$fot(multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567)))))]]) ).
cnf(refute_0_3088,plain,
( multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) != multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567)))
| multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) )],[refute_0_3086,refute_0_3087]) ).
cnf(refute_0_3089,plain,
multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_86),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) )],[refute_0_3076,refute_0_3088]) ).
cnf(refute_0_3090,plain,
greatest_lower_bound(multiply(X_86,X_84),multiply(X_85,X_84)) = greatest_lower_bound(multiply(X_85,X_84),multiply(X_86,X_84)),
inference(subst,[],[symmetry_of_glb:[bind(X,$fot(multiply(X_86,X_84))),bind(Y,$fot(multiply(X_85,X_84)))]]) ).
cnf(refute_0_3091,plain,
multiply(greatest_lower_bound(X_85,X_86),X_84) = greatest_lower_bound(multiply(X_85,X_84),multiply(X_86,X_84)),
inference(subst,[],[monotony_glb2:[bind(X,$fot(X_84)),bind(Y,$fot(X_85)),bind(Z,$fot(X_86))]]) ).
cnf(refute_0_3092,plain,
( multiply(greatest_lower_bound(X_85,X_86),X_84) != greatest_lower_bound(multiply(X_85,X_84),multiply(X_86,X_84))
| greatest_lower_bound(multiply(X_85,X_84),multiply(X_86,X_84)) = multiply(greatest_lower_bound(X_85,X_86),X_84) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(X_85,X_86),X_84))),bind(Y0,$fot(greatest_lower_bound(multiply(X_85,X_84),multiply(X_86,X_84))))]]) ).
cnf(refute_0_3093,plain,
greatest_lower_bound(multiply(X_85,X_84),multiply(X_86,X_84)) = multiply(greatest_lower_bound(X_85,X_86),X_84),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_85,X_86),X_84),greatest_lower_bound(multiply(X_85,X_84),multiply(X_86,X_84))) )],[refute_0_3091,refute_0_3092]) ).
cnf(refute_0_3094,plain,
( greatest_lower_bound(multiply(X_85,X_84),multiply(X_86,X_84)) != multiply(greatest_lower_bound(X_85,X_86),X_84)
| greatest_lower_bound(multiply(X_86,X_84),multiply(X_85,X_84)) != greatest_lower_bound(multiply(X_85,X_84),multiply(X_86,X_84))
| greatest_lower_bound(multiply(X_86,X_84),multiply(X_85,X_84)) = multiply(greatest_lower_bound(X_85,X_86),X_84) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(multiply(X_86,X_84),multiply(X_85,X_84)),greatest_lower_bound(multiply(X_85,X_84),multiply(X_86,X_84))) ),[1],$fot(multiply(greatest_lower_bound(X_85,X_86),X_84))]]) ).
cnf(refute_0_3095,plain,
( greatest_lower_bound(multiply(X_86,X_84),multiply(X_85,X_84)) != greatest_lower_bound(multiply(X_85,X_84),multiply(X_86,X_84))
| greatest_lower_bound(multiply(X_86,X_84),multiply(X_85,X_84)) = multiply(greatest_lower_bound(X_85,X_86),X_84) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_85,X_84),multiply(X_86,X_84)),multiply(greatest_lower_bound(X_85,X_86),X_84)) )],[refute_0_3093,refute_0_3094]) ).
cnf(refute_0_3096,plain,
greatest_lower_bound(multiply(X_86,X_84),multiply(X_85,X_84)) = multiply(greatest_lower_bound(X_85,X_86),X_84),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_86,X_84),multiply(X_85,X_84)),greatest_lower_bound(multiply(X_85,X_84),multiply(X_86,X_84))) )],[refute_0_3090,refute_0_3095]) ).
cnf(refute_0_3097,plain,
greatest_lower_bound(multiply(X_86,X_84),multiply(X_85,X_84)) = multiply(greatest_lower_bound(X_86,X_85),X_84),
inference(subst,[],[refute_0_622:[bind(X,$fot(X_84)),bind(Y,$fot(X_86)),bind(Z,$fot(X_85))]]) ).
cnf(refute_0_3098,plain,
( greatest_lower_bound(multiply(X_86,X_84),multiply(X_85,X_84)) != multiply(greatest_lower_bound(X_85,X_86),X_84)
| greatest_lower_bound(multiply(X_86,X_84),multiply(X_85,X_84)) != multiply(greatest_lower_bound(X_86,X_85),X_84)
| multiply(greatest_lower_bound(X_86,X_85),X_84) = multiply(greatest_lower_bound(X_85,X_86),X_84) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(multiply(X_86,X_84),multiply(X_85,X_84)),multiply(greatest_lower_bound(X_85,X_86),X_84)) ),[0],$fot(multiply(greatest_lower_bound(X_86,X_85),X_84))]]) ).
cnf(refute_0_3099,plain,
( greatest_lower_bound(multiply(X_86,X_84),multiply(X_85,X_84)) != multiply(greatest_lower_bound(X_85,X_86),X_84)
| multiply(greatest_lower_bound(X_86,X_85),X_84) = multiply(greatest_lower_bound(X_85,X_86),X_84) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_86,X_84),multiply(X_85,X_84)),multiply(greatest_lower_bound(X_86,X_85),X_84)) )],[refute_0_3097,refute_0_3098]) ).
cnf(refute_0_3100,plain,
multiply(greatest_lower_bound(X_86,X_85),X_84) = multiply(greatest_lower_bound(X_85,X_86),X_84),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_86,X_84),multiply(X_85,X_84)),multiply(greatest_lower_bound(X_85,X_86),X_84)) )],[refute_0_3096,refute_0_3099]) ).
cnf(refute_0_3101,plain,
multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84) = multiply(greatest_lower_bound(X_85,greatest_lower_bound(X_243,X_245)),X_84),
inference(subst,[],[refute_0_3100:[bind(X_86,$fot(greatest_lower_bound(X_243,X_245)))]]) ).
cnf(refute_0_3102,plain,
greatest_lower_bound(X_85,greatest_lower_bound(X_243,X_245)) = greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_85)),
inference(subst,[],[refute_0_1601:[bind(X,$fot(X_243)),bind(Y,$fot(X_85)),bind(X_104,$fot(X_245))]]) ).
cnf(refute_0_3103,plain,
( multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84) != multiply(greatest_lower_bound(X_85,greatest_lower_bound(X_243,X_245)),X_84)
| greatest_lower_bound(X_85,greatest_lower_bound(X_243,X_245)) != greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_85))
| multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84) = multiply(greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_85)),X_84) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84),multiply(greatest_lower_bound(X_85,greatest_lower_bound(X_243,X_245)),X_84)) ),[1,0],$fot(greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_85)))]]) ).
cnf(refute_0_3104,plain,
( multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84) != multiply(greatest_lower_bound(X_85,greatest_lower_bound(X_243,X_245)),X_84)
| multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84) = multiply(greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_85)),X_84) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_85,greatest_lower_bound(X_243,X_245)),greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_85))) )],[refute_0_3102,refute_0_3103]) ).
cnf(refute_0_3105,plain,
multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84) = multiply(greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_85)),X_84),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84),multiply(greatest_lower_bound(X_85,greatest_lower_bound(X_243,X_245)),X_84)) )],[refute_0_3101,refute_0_3104]) ).
cnf(refute_0_3106,plain,
greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85) = greatest_lower_bound(X_243,greatest_lower_bound(X_245,X_85)),
inference(subst,[],[refute_0_761:[bind(X,$fot(X_243)),bind(Y,$fot(X_245)),bind(Z,$fot(X_85))]]) ).
cnf(refute_0_3107,plain,
multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84) = multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84),
introduced(tautology,[refl,[$fot(multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84))]]) ).
cnf(refute_0_3108,plain,
( multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84) != multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84)
| greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85) != greatest_lower_bound(X_243,greatest_lower_bound(X_245,X_85))
| multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84) = multiply(greatest_lower_bound(X_243,greatest_lower_bound(X_245,X_85)),X_84) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84),multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84)) ),[1,0],$fot(greatest_lower_bound(X_243,greatest_lower_bound(X_245,X_85)))]]) ).
cnf(refute_0_3109,plain,
( greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85) != greatest_lower_bound(X_243,greatest_lower_bound(X_245,X_85))
| multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84) = multiply(greatest_lower_bound(X_243,greatest_lower_bound(X_245,X_85)),X_84) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84),multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84)) )],[refute_0_3107,refute_0_3108]) ).
cnf(refute_0_3110,plain,
multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84) = multiply(greatest_lower_bound(X_243,greatest_lower_bound(X_245,X_85)),X_84),
inference(resolve,[$cnf( $equal(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),greatest_lower_bound(X_243,greatest_lower_bound(X_245,X_85))) )],[refute_0_3106,refute_0_3109]) ).
cnf(refute_0_3111,plain,
( multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84) != multiply(greatest_lower_bound(X_243,greatest_lower_bound(X_245,X_85)),X_84)
| multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84) != multiply(greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_85)),X_84)
| multiply(greatest_lower_bound(X_243,greatest_lower_bound(X_245,X_85)),X_84) = multiply(greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_85)),X_84) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84),multiply(greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_85)),X_84)) ),[0],$fot(multiply(greatest_lower_bound(X_243,greatest_lower_bound(X_245,X_85)),X_84))]]) ).
cnf(refute_0_3112,plain,
( multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84) != multiply(greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_85)),X_84)
| multiply(greatest_lower_bound(X_243,greatest_lower_bound(X_245,X_85)),X_84) = multiply(greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_85)),X_84) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84),multiply(greatest_lower_bound(X_243,greatest_lower_bound(X_245,X_85)),X_84)) )],[refute_0_3110,refute_0_3111]) ).
cnf(refute_0_3113,plain,
multiply(greatest_lower_bound(X_243,greatest_lower_bound(X_245,X_85)),X_84) = multiply(greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_85)),X_84),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(greatest_lower_bound(X_243,X_245),X_85),X_84),multiply(greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_85)),X_84)) )],[refute_0_3105,refute_0_3112]) ).
cnf(refute_0_3114,plain,
( multiply(greatest_lower_bound(X_243,greatest_lower_bound(X_245,X_85)),X_84) != multiply(greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_85)),X_84)
| multiply(greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_85)),X_84) = multiply(greatest_lower_bound(X_243,greatest_lower_bound(X_245,X_85)),X_84) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(X_243,greatest_lower_bound(X_245,X_85)),X_84))),bind(Y0,$fot(multiply(greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_85)),X_84)))]]) ).
cnf(refute_0_3115,plain,
multiply(greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_85)),X_84) = multiply(greatest_lower_bound(X_243,greatest_lower_bound(X_245,X_85)),X_84),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_243,greatest_lower_bound(X_245,X_85)),X_84),multiply(greatest_lower_bound(X_245,greatest_lower_bound(X_243,X_85)),X_84)) )],[refute_0_3113,refute_0_3114]) ).
cnf(refute_0_3116,plain,
multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),
inference(subst,[],[refute_0_3115:[bind(X_243,$fot(identity)),bind(X_245,$fot(least_upper_bound(identity,least_upper_bound(X_567,X_566)))),bind(X_84,$fot(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))),bind(X_85,$fot(X_86))]]) ).
cnf(refute_0_3117,plain,
( multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) != multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567)))
| multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) != multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))
| multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))),bind(Y0,$fot(multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))),bind(Z0,$fot(multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567)))))]]) ).
cnf(refute_0_3118,plain,
( multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) != multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567)))
| multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) )],[refute_0_3116,refute_0_3117]) ).
cnf(refute_0_3119,plain,
multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) )],[refute_0_3089,refute_0_3118]) ).
cnf(refute_0_3120,plain,
( multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) != multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567)))
| multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))
| multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))) ),[0],$fot(multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))))]]) ).
cnf(refute_0_3121,plain,
( multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))
| multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) )],[refute_0_3119,refute_0_3120]) ).
cnf(refute_0_3122,plain,
greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(identity,least_upper_bound(X_567,X_566)))) = multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))),
inference(subst,[],[refute_0_2134:[bind(X_84,$fot(least_upper_bound(identity,least_upper_bound(X_567,X_566)))),bind(X_85,$fot(X_86))]]) ).
cnf(refute_0_3123,plain,
inverse(inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))) = least_upper_bound(identity,least_upper_bound(X_567,X_566)),
inference(subst,[],[p20_2:[bind(X,$fot(least_upper_bound(identity,least_upper_bound(X_567,X_566))))]]) ).
cnf(refute_0_3124,plain,
( inverse(least_upper_bound(identity,Y)) != greatest_lower_bound(identity,inverse(least_upper_bound(identity,Y)))
| greatest_lower_bound(identity,inverse(least_upper_bound(identity,Y))) = inverse(least_upper_bound(identity,Y)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(least_upper_bound(identity,Y)))),bind(Y0,$fot(greatest_lower_bound(identity,inverse(least_upper_bound(identity,Y)))))]]) ).
cnf(refute_0_3125,plain,
greatest_lower_bound(identity,inverse(least_upper_bound(identity,Y))) = inverse(least_upper_bound(identity,Y)),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(identity,Y)),greatest_lower_bound(identity,inverse(least_upper_bound(identity,Y)))) )],[refute_0_3032,refute_0_3124]) ).
cnf(refute_0_3126,plain,
greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))) = inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))),
inference(subst,[],[refute_0_3125:[bind(Y,$fot(least_upper_bound(X_567,X_566)))]]) ).
cnf(refute_0_3127,plain,
inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))) = inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))),
introduced(tautology,[refl,[$fot(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))]]) ).
cnf(refute_0_3128,plain,
( greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))) != inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))
| inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))) != inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))
| inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))) = inverse(inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) ),[1,0],$fot(inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))]]) ).
cnf(refute_0_3129,plain,
( greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))) != inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))
| inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))) = inverse(inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) )],[refute_0_3127,refute_0_3128]) ).
cnf(refute_0_3130,plain,
inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))) = inverse(inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))),inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))) )],[refute_0_3126,refute_0_3129]) ).
cnf(refute_0_3131,plain,
( inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))) != inverse(inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))
| inverse(inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))) != least_upper_bound(identity,least_upper_bound(X_567,X_566))
| inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))) = least_upper_bound(identity,least_upper_bound(X_567,X_566)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))),bind(Y0,$fot(inverse(inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))),bind(Z0,$fot(least_upper_bound(identity,least_upper_bound(X_567,X_566))))]]) ).
cnf(refute_0_3132,plain,
( inverse(inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))) != least_upper_bound(identity,least_upper_bound(X_567,X_566))
| inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))) = least_upper_bound(identity,least_upper_bound(X_567,X_566)) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))),inverse(inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))) )],[refute_0_3130,refute_0_3131]) ).
cnf(refute_0_3133,plain,
inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))) = least_upper_bound(identity,least_upper_bound(X_567,X_566)),
inference(resolve,[$cnf( $equal(inverse(inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))),least_upper_bound(identity,least_upper_bound(X_567,X_566))) )],[refute_0_3123,refute_0_3132]) ).
cnf(refute_0_3134,plain,
multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) = multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))),
introduced(tautology,[refl,[$fot(multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))]]) ).
cnf(refute_0_3135,plain,
( multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) != multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))
| inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))) != least_upper_bound(identity,least_upper_bound(X_567,X_566))
| multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) = multiply(X_86,least_upper_bound(identity,least_upper_bound(X_567,X_566))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))) ),[1,1],$fot(least_upper_bound(identity,least_upper_bound(X_567,X_566)))]]) ).
cnf(refute_0_3136,plain,
( inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))) != least_upper_bound(identity,least_upper_bound(X_567,X_566))
| multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) = multiply(X_86,least_upper_bound(identity,least_upper_bound(X_567,X_566))) ),
inference(resolve,[$cnf( $equal(multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))) )],[refute_0_3134,refute_0_3135]) ).
cnf(refute_0_3137,plain,
multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) = multiply(X_86,least_upper_bound(identity,least_upper_bound(X_567,X_566))),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))),least_upper_bound(identity,least_upper_bound(X_567,X_566))) )],[refute_0_3133,refute_0_3136]) ).
cnf(refute_0_3138,plain,
greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))))]]) ).
cnf(refute_0_3139,plain,
( multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) != multiply(X_86,least_upper_bound(identity,least_upper_bound(X_567,X_566)))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(identity,least_upper_bound(X_567,X_566)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))) ),[1,1],$fot(multiply(X_86,least_upper_bound(identity,least_upper_bound(X_567,X_566))))]]) ).
cnf(refute_0_3140,plain,
( multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) != multiply(X_86,least_upper_bound(identity,least_upper_bound(X_567,X_566)))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(identity,least_upper_bound(X_567,X_566)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))) )],[refute_0_3138,refute_0_3139]) ).
cnf(refute_0_3141,plain,
greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(identity,least_upper_bound(X_567,X_566)))),
inference(resolve,[$cnf( $equal(multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))),multiply(X_86,least_upper_bound(identity,least_upper_bound(X_567,X_566)))) )],[refute_0_3137,refute_0_3140]) ).
cnf(refute_0_3142,plain,
( greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(identity,least_upper_bound(X_567,X_566))))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(identity,least_upper_bound(X_567,X_566)))) != multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566)))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))) = multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))))),bind(Y0,$fot(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(identity,least_upper_bound(X_567,X_566)))))),bind(Z0,$fot(multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566)))))]]) ).
cnf(refute_0_3143,plain,
( greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(identity,least_upper_bound(X_567,X_566)))) != multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566)))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))) = multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(identity,least_upper_bound(X_567,X_566))))) )],[refute_0_3141,refute_0_3142]) ).
cnf(refute_0_3144,plain,
greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))) = multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(identity,least_upper_bound(X_567,X_566)))),multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566)))) )],[refute_0_3122,refute_0_3143]) ).
cnf(refute_0_3145,plain,
( multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))) != multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566)))
| multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))) = multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))),multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566)))) ),[0],$fot(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))))]]) ).
cnf(refute_0_3146,plain,
( multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))
| multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))) = multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))),multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566)))) )],[refute_0_3144,refute_0_3145]) ).
cnf(refute_0_3147,plain,
( multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))
| multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))) = multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))) )],[refute_0_3121,refute_0_3146]) ).
cnf(refute_0_3148,plain,
multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))) = multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))) )],[refute_0_3072,refute_0_3147]) ).
cnf(refute_0_3149,plain,
( multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))) != multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566)))
| multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) = multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))))),bind(Y0,$fot(multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566)))))]]) ).
cnf(refute_0_3150,plain,
multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) = multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_86),least_upper_bound(X_566,least_upper_bound(identity,X_567))),multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566)))) )],[refute_0_3148,refute_0_3149]) ).
cnf(refute_0_3151,plain,
multiply(greatest_lower_bound(least_upper_bound(identity,Y),identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) = multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))),
inference(subst,[],[refute_0_3150:[bind(X_86,$fot(least_upper_bound(identity,Y)))]]) ).
cnf(refute_0_3152,plain,
( multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))
| inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))) != inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))
| multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))) ),[1,1,1,0,1],$fot(inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))]]) ).
cnf(refute_0_3153,plain,
( multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))
| multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) ),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))),inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))) )],[refute_0_3020,refute_0_3152]) ).
cnf(refute_0_3154,plain,
multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))) )],[refute_0_3069,refute_0_3153]) ).
cnf(refute_0_3155,plain,
( multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))) != multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566)))
| multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) = multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))),bind(Y0,$fot(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))))),bind(Z0,$fot(multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566)))))]]) ).
cnf(refute_0_3156,plain,
( greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))) != multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566)))
| multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) = multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))))) )],[refute_0_3069,refute_0_3155]) ).
cnf(refute_0_3157,plain,
multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) = multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566))))))),multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566)))) )],[refute_0_3144,refute_0_3156]) ).
cnf(refute_0_3158,plain,
( multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) != multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566)))
| multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))
| multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))) ),[0],$fot(multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))))]]) ).
cnf(refute_0_3159,plain,
( multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))
| multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))),multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566)))) )],[refute_0_3157,refute_0_3158]) ).
cnf(refute_0_3160,plain,
multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),
introduced(tautology,[refl,[$fot(multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))]]) ).
cnf(refute_0_3161,plain,
( multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) != multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))
| inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))) != least_upper_bound(X_566,least_upper_bound(identity,X_567))
| multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) ),[1,1],$fot(least_upper_bound(X_566,least_upper_bound(identity,X_567)))]]) ).
cnf(refute_0_3162,plain,
( inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))) != least_upper_bound(X_566,least_upper_bound(identity,X_567))
| multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567))) ),
inference(resolve,[$cnf( $equal(multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) )],[refute_0_3160,refute_0_3161]) ).
cnf(refute_0_3163,plain,
multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) = multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567))),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))),least_upper_bound(X_566,least_upper_bound(identity,X_567))) )],[refute_0_3049,refute_0_3162]) ).
cnf(refute_0_3164,plain,
greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))))]]) ).
cnf(refute_0_3165,plain,
( multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) != multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567)))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567)))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))) ),[1,1],$fot(multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567))))]]) ).
cnf(refute_0_3166,plain,
( multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))) != multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567)))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))) )],[refute_0_3164,refute_0_3165]) ).
cnf(refute_0_3167,plain,
greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567)))),
inference(resolve,[$cnf( $equal(multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567)))) )],[refute_0_3163,refute_0_3166]) ).
cnf(refute_0_3168,plain,
( multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567))))
| multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567))))) ),[0],$fot(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))))]]) ).
cnf(refute_0_3169,plain,
( multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))
| multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567))))))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567))))) )],[refute_0_3167,refute_0_3168]) ).
cnf(refute_0_3170,plain,
( multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))
| multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567)))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))) )],[refute_0_3159,refute_0_3169]) ).
cnf(refute_0_3171,plain,
multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) = greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567)))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(identity,X_86)),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(identity,least_upper_bound(X_567,X_566)))))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_566,least_upper_bound(identity,X_567)))))))) )],[refute_0_3154,refute_0_3170]) ).
cnf(refute_0_3172,plain,
( multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567))))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567)))) = multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))))),bind(Y0,$fot(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567))))))]]) ).
cnf(refute_0_3173,plain,
greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567)))) = multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_86,identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(X_86,least_upper_bound(X_566,least_upper_bound(identity,X_567))))) )],[refute_0_3171,refute_0_3172]) ).
cnf(refute_0_3174,plain,
greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) = multiply(greatest_lower_bound(least_upper_bound(identity,Y),identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))),
inference(subst,[],[refute_0_3173:[bind(X_86,$fot(least_upper_bound(identity,Y)))]]) ).
cnf(refute_0_3175,plain,
( multiply(greatest_lower_bound(least_upper_bound(identity,Y),identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) != multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567)))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) != multiply(greatest_lower_bound(least_upper_bound(identity,Y),identity),least_upper_bound(identity,least_upper_bound(X_567,X_566)))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) = multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),bind(Y0,$fot(multiply(greatest_lower_bound(least_upper_bound(identity,Y),identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))))),bind(Z0,$fot(multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567)))))]]) ).
cnf(refute_0_3176,plain,
( multiply(greatest_lower_bound(least_upper_bound(identity,Y),identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))) != multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567)))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) = multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))),multiply(greatest_lower_bound(least_upper_bound(identity,Y),identity),least_upper_bound(identity,least_upper_bound(X_567,X_566)))) )],[refute_0_3174,refute_0_3175]) ).
cnf(refute_0_3177,plain,
greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) = multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(least_upper_bound(identity,Y),identity),least_upper_bound(identity,least_upper_bound(X_567,X_566))),multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) )],[refute_0_3151,refute_0_3176]) ).
cnf(refute_0_3178,plain,
( multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))) != least_upper_bound(X_566,least_upper_bound(identity,X_567))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) != multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567)))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) = least_upper_bound(X_566,least_upper_bound(identity,X_567)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))))),bind(Y0,$fot(multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))))),bind(Z0,$fot(least_upper_bound(X_566,least_upper_bound(identity,X_567))))]]) ).
cnf(refute_0_3179,plain,
( multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))) != least_upper_bound(X_566,least_upper_bound(identity,X_567))
| greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) = least_upper_bound(X_566,least_upper_bound(identity,X_567)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))),multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) )],[refute_0_3177,refute_0_3178]) ).
cnf(refute_0_3180,plain,
greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) = least_upper_bound(X_566,least_upper_bound(identity,X_567)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,least_upper_bound(identity,Y)),least_upper_bound(X_566,least_upper_bound(identity,X_567))),least_upper_bound(X_566,least_upper_bound(identity,X_567))) )],[refute_0_3068,refute_0_3179]) ).
cnf(refute_0_3181,plain,
( greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))) != least_upper_bound(X_566,least_upper_bound(identity,X_567))
| least_upper_bound(identity,least_upper_bound(X_567,X_566)) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567))))
| least_upper_bound(identity,least_upper_bound(X_567,X_566)) = least_upper_bound(X_566,least_upper_bound(identity,X_567)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567))))) ),[1],$fot(least_upper_bound(X_566,least_upper_bound(identity,X_567)))]]) ).
cnf(refute_0_3182,plain,
( least_upper_bound(identity,least_upper_bound(X_567,X_566)) != greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567))))
| least_upper_bound(identity,least_upper_bound(X_567,X_566)) = least_upper_bound(X_566,least_upper_bound(identity,X_567)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567)))),least_upper_bound(X_566,least_upper_bound(identity,X_567))) )],[refute_0_3180,refute_0_3181]) ).
cnf(refute_0_3183,plain,
least_upper_bound(identity,least_upper_bound(X_567,X_566)) = least_upper_bound(X_566,least_upper_bound(identity,X_567)),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_567,X_566)),greatest_lower_bound(least_upper_bound(identity,least_upper_bound(X_567,X_566)),multiply(least_upper_bound(identity,Y),least_upper_bound(X_566,least_upper_bound(identity,X_567))))) )],[refute_0_3060,refute_0_3182]) ).
cnf(refute_0_3184,plain,
( least_upper_bound(identity,least_upper_bound(X_567,X_566)) != least_upper_bound(X_566,least_upper_bound(identity,X_567))
| least_upper_bound(X_566,least_upper_bound(identity,X_567)) = least_upper_bound(identity,least_upper_bound(X_567,X_566)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(identity,least_upper_bound(X_567,X_566)))),bind(Y0,$fot(least_upper_bound(X_566,least_upper_bound(identity,X_567))))]]) ).
cnf(refute_0_3185,plain,
least_upper_bound(X_566,least_upper_bound(identity,X_567)) = least_upper_bound(identity,least_upper_bound(X_567,X_566)),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_567,X_566)),least_upper_bound(X_566,least_upper_bound(identity,X_567))) )],[refute_0_3183,refute_0_3184]) ).
cnf(refute_0_3186,plain,
least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity)) = least_upper_bound(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76)))),
inference(subst,[],[refute_0_3185:[bind(X_566,$fot(inverse(greatest_lower_bound(X_77,X_76)))),bind(X_567,$fot(identity))]]) ).
cnf(refute_0_3187,plain,
( least_upper_bound(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76)))) != least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76)))
| least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity)) != least_upper_bound(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76))))
| least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity)) = least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity)))),bind(Y0,$fot(least_upper_bound(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76)))))),bind(Z0,$fot(least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76)))))]]) ).
cnf(refute_0_3188,plain,
( least_upper_bound(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76)))) != least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76)))
| least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity)) = least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity)),least_upper_bound(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76))))) )],[refute_0_3186,refute_0_3187]) ).
cnf(refute_0_3189,plain,
least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity)) = least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76)))),least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76)))) )],[refute_0_2946,refute_0_3188]) ).
cnf(refute_0_3190,plain,
( least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))) != least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity))
| least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity)) != least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76)))
| least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))),least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76)))) ),[0],$fot(least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity)))]]) ).
cnf(refute_0_3191,plain,
( least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))) != least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity))
| least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity)),least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76)))) )],[refute_0_3189,refute_0_3190]) ).
cnf(refute_0_3192,plain,
( least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))) != least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity))
| least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))),least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity))) )],[refute_0_2945,refute_0_3191]) ).
cnf(refute_0_3193,plain,
least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(least_upper_bound(identity,greatest_lower_bound(X_76,X_77)),inverse(greatest_lower_bound(X_77,X_76)))),least_upper_bound(inverse(greatest_lower_bound(X_77,X_76)),least_upper_bound(identity,identity))) )],[refute_0_2864,refute_0_3192]) ).
cnf(refute_0_3194,plain,
( least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))) != least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76)))
| least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))))),bind(Y0,$fot(least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76)))))]]) ).
cnf(refute_0_3195,plain,
least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,inverse(greatest_lower_bound(X_76,X_77))),least_upper_bound(identity,inverse(greatest_lower_bound(X_77,X_76)))) )],[refute_0_3193,refute_0_3194]) ).
cnf(refute_0_3196,plain,
least_upper_bound(identity,inverse(greatest_lower_bound(multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity))) = least_upper_bound(identity,inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))),
inference(subst,[],[refute_0_3195:[bind(X_76,$fot(identity)),bind(X_77,$fot(multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))]]) ).
cnf(refute_0_3197,plain,
( least_upper_bound(identity,inverse(greatest_lower_bound(multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity))) != least_upper_bound(identity,inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))))
| least_upper_bound(identity,inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))) != inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))
| least_upper_bound(identity,inverse(greatest_lower_bound(multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity))) = inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,inverse(greatest_lower_bound(multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity))))),bind(Y0,$fot(least_upper_bound(identity,inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))))),bind(Z0,$fot(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))))]]) ).
cnf(refute_0_3198,plain,
( least_upper_bound(identity,inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))) != inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))
| least_upper_bound(identity,inverse(greatest_lower_bound(multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity))) = inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,inverse(greatest_lower_bound(multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))))) )],[refute_0_3196,refute_0_3197]) ).
cnf(refute_0_3199,plain,
least_upper_bound(identity,inverse(greatest_lower_bound(multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity))) = inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))),inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))) )],[refute_0_2805,refute_0_3198]) ).
cnf(refute_0_3200,plain,
multiply(least_upper_bound(X_139,inverse(X_131)),least_upper_bound(X_131,identity)) = least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),multiply(inverse(X_131),least_upper_bound(X_131,identity))),
inference(subst,[],[monotony_lub2:[bind(X,$fot(least_upper_bound(X_131,identity))),bind(Y,$fot(X_139)),bind(Z,$fot(inverse(X_131)))]]) ).
cnf(refute_0_3201,plain,
( multiply(inverse(X_131),least_upper_bound(X_131,identity)) != least_upper_bound(identity,inverse(X_131))
| multiply(least_upper_bound(X_139,inverse(X_131)),least_upper_bound(X_131,identity)) != least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),multiply(inverse(X_131),least_upper_bound(X_131,identity)))
| multiply(least_upper_bound(X_139,inverse(X_131)),least_upper_bound(X_131,identity)) = least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),least_upper_bound(identity,inverse(X_131))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_139,inverse(X_131)),least_upper_bound(X_131,identity)),least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),multiply(inverse(X_131),least_upper_bound(X_131,identity)))) ),[1,1],$fot(least_upper_bound(identity,inverse(X_131)))]]) ).
cnf(refute_0_3202,plain,
( multiply(least_upper_bound(X_139,inverse(X_131)),least_upper_bound(X_131,identity)) != least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),multiply(inverse(X_131),least_upper_bound(X_131,identity)))
| multiply(least_upper_bound(X_139,inverse(X_131)),least_upper_bound(X_131,identity)) = least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),least_upper_bound(identity,inverse(X_131))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_131),least_upper_bound(X_131,identity)),least_upper_bound(identity,inverse(X_131))) )],[refute_0_511,refute_0_3201]) ).
cnf(refute_0_3203,plain,
multiply(least_upper_bound(X_139,inverse(X_131)),least_upper_bound(X_131,identity)) = least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),least_upper_bound(identity,inverse(X_131))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,inverse(X_131)),least_upper_bound(X_131,identity)),least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),multiply(inverse(X_131),least_upper_bound(X_131,identity)))) )],[refute_0_3200,refute_0_3202]) ).
cnf(refute_0_3204,plain,
least_upper_bound(inverse(X_131),least_upper_bound(identity,multiply(X_139,least_upper_bound(X_131,identity)))) = least_upper_bound(identity,least_upper_bound(inverse(X_131),multiply(X_139,least_upper_bound(X_131,identity)))),
inference(subst,[],[refute_0_2197:[bind(X_15,$fot(multiply(X_139,least_upper_bound(X_131,identity)))),bind(X_47,$fot(inverse(X_131))),bind(X_48,$fot(identity))]]) ).
cnf(refute_0_3205,plain,
least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),least_upper_bound(identity,inverse(X_131))) = least_upper_bound(inverse(X_131),least_upper_bound(identity,multiply(X_139,least_upper_bound(X_131,identity)))),
inference(subst,[],[refute_0_2204:[bind(X,$fot(inverse(X_131))),bind(X_36,$fot(identity)),bind(X_37,$fot(multiply(X_139,least_upper_bound(X_131,identity))))]]) ).
cnf(refute_0_3206,plain,
( least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),least_upper_bound(identity,inverse(X_131))) != least_upper_bound(inverse(X_131),least_upper_bound(identity,multiply(X_139,least_upper_bound(X_131,identity))))
| least_upper_bound(inverse(X_131),least_upper_bound(identity,multiply(X_139,least_upper_bound(X_131,identity)))) != least_upper_bound(identity,least_upper_bound(inverse(X_131),multiply(X_139,least_upper_bound(X_131,identity))))
| least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),least_upper_bound(identity,inverse(X_131))) = least_upper_bound(identity,least_upper_bound(inverse(X_131),multiply(X_139,least_upper_bound(X_131,identity)))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),least_upper_bound(identity,inverse(X_131))))),bind(Y0,$fot(least_upper_bound(inverse(X_131),least_upper_bound(identity,multiply(X_139,least_upper_bound(X_131,identity)))))),bind(Z0,$fot(least_upper_bound(identity,least_upper_bound(inverse(X_131),multiply(X_139,least_upper_bound(X_131,identity))))))]]) ).
cnf(refute_0_3207,plain,
( least_upper_bound(inverse(X_131),least_upper_bound(identity,multiply(X_139,least_upper_bound(X_131,identity)))) != least_upper_bound(identity,least_upper_bound(inverse(X_131),multiply(X_139,least_upper_bound(X_131,identity))))
| least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),least_upper_bound(identity,inverse(X_131))) = least_upper_bound(identity,least_upper_bound(inverse(X_131),multiply(X_139,least_upper_bound(X_131,identity)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),least_upper_bound(identity,inverse(X_131))),least_upper_bound(inverse(X_131),least_upper_bound(identity,multiply(X_139,least_upper_bound(X_131,identity))))) )],[refute_0_3205,refute_0_3206]) ).
cnf(refute_0_3208,plain,
least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),least_upper_bound(identity,inverse(X_131))) = least_upper_bound(identity,least_upper_bound(inverse(X_131),multiply(X_139,least_upper_bound(X_131,identity)))),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(X_131),least_upper_bound(identity,multiply(X_139,least_upper_bound(X_131,identity)))),least_upper_bound(identity,least_upper_bound(inverse(X_131),multiply(X_139,least_upper_bound(X_131,identity))))) )],[refute_0_3204,refute_0_3207]) ).
cnf(refute_0_3209,plain,
( multiply(least_upper_bound(X_139,inverse(X_131)),least_upper_bound(X_131,identity)) != least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),least_upper_bound(identity,inverse(X_131)))
| least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),least_upper_bound(identity,inverse(X_131))) != least_upper_bound(identity,least_upper_bound(inverse(X_131),multiply(X_139,least_upper_bound(X_131,identity))))
| multiply(least_upper_bound(X_139,inverse(X_131)),least_upper_bound(X_131,identity)) = least_upper_bound(identity,least_upper_bound(inverse(X_131),multiply(X_139,least_upper_bound(X_131,identity)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(least_upper_bound(X_139,inverse(X_131)),least_upper_bound(X_131,identity)),least_upper_bound(identity,least_upper_bound(inverse(X_131),multiply(X_139,least_upper_bound(X_131,identity))))) ),[0],$fot(least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),least_upper_bound(identity,inverse(X_131))))]]) ).
cnf(refute_0_3210,plain,
( multiply(least_upper_bound(X_139,inverse(X_131)),least_upper_bound(X_131,identity)) != least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),least_upper_bound(identity,inverse(X_131)))
| multiply(least_upper_bound(X_139,inverse(X_131)),least_upper_bound(X_131,identity)) = least_upper_bound(identity,least_upper_bound(inverse(X_131),multiply(X_139,least_upper_bound(X_131,identity)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),least_upper_bound(identity,inverse(X_131))),least_upper_bound(identity,least_upper_bound(inverse(X_131),multiply(X_139,least_upper_bound(X_131,identity))))) )],[refute_0_3208,refute_0_3209]) ).
cnf(refute_0_3211,plain,
multiply(least_upper_bound(X_139,inverse(X_131)),least_upper_bound(X_131,identity)) = least_upper_bound(identity,least_upper_bound(inverse(X_131),multiply(X_139,least_upper_bound(X_131,identity)))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,inverse(X_131)),least_upper_bound(X_131,identity)),least_upper_bound(multiply(X_139,least_upper_bound(X_131,identity)),least_upper_bound(identity,inverse(X_131)))) )],[refute_0_3203,refute_0_3210]) ).
cnf(refute_0_3212,plain,
multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(X_613,identity),identity)))),
inference(subst,[],[refute_0_3211:[bind(X_131,$fot(greatest_lower_bound(X_613,identity)))]]) ).
cnf(refute_0_3213,plain,
least_upper_bound(greatest_lower_bound(X_613,identity),identity) = least_upper_bound(greatest_lower_bound(identity,X_613),identity),
inference(subst,[],[refute_0_2720:[bind(X_610,$fot(identity)),bind(X_611,$fot(X_613))]]) ).
cnf(refute_0_3214,plain,
( multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(X_613,identity),identity))))
| least_upper_bound(greatest_lower_bound(X_613,identity),identity) != least_upper_bound(greatest_lower_bound(identity,X_613),identity)
| multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(X_613,identity),identity))))) ),[1,1,1,1],$fot(least_upper_bound(greatest_lower_bound(identity,X_613),identity))]]) ).
cnf(refute_0_3215,plain,
( multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(X_613,identity),identity))))
| multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_613,identity),identity),least_upper_bound(greatest_lower_bound(identity,X_613),identity)) )],[refute_0_3213,refute_0_3214]) ).
cnf(refute_0_3216,plain,
multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(X_613,identity),identity))))) )],[refute_0_3212,refute_0_3215]) ).
cnf(refute_0_3217,plain,
multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),identity) = least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),
inference(subst,[],[refute_0_573:[bind(X,$fot(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity)))))]]) ).
cnf(refute_0_3218,plain,
least_upper_bound(identity,greatest_lower_bound(X_613,identity)) = identity,
inference(subst,[],[refute_0_427:[bind(X_10,$fot(identity)),bind(X_11,$fot(X_613))]]) ).
cnf(refute_0_3219,plain,
multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity))) = multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity))),
introduced(tautology,[refl,[$fot(multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity))))]]) ).
cnf(refute_0_3220,plain,
( multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity))) != multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity)))
| least_upper_bound(identity,greatest_lower_bound(X_613,identity)) != identity
| multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity))) = multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity))),multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_3221,plain,
( least_upper_bound(identity,greatest_lower_bound(X_613,identity)) != identity
| multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity))) = multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),identity) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity))),multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity)))) )],[refute_0_3219,refute_0_3220]) ).
cnf(refute_0_3222,plain,
multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity))) = multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),identity),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,greatest_lower_bound(X_613,identity)),identity) )],[refute_0_3218,refute_0_3221]) ).
cnf(refute_0_3223,plain,
( multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),identity) != least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity)))
| multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity))) != multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),identity)
| multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity))) = least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity))))),bind(Y0,$fot(multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),identity))),bind(Z0,$fot(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity)))))]]) ).
cnf(refute_0_3224,plain,
( multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),identity) != least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity)))
| multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity))) = least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity))),multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),identity)) )],[refute_0_3222,refute_0_3223]) ).
cnf(refute_0_3225,plain,
multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity))) = least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),identity),least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity)))) )],[refute_0_3217,refute_0_3224]) ).
cnf(refute_0_3226,plain,
multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)) = multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity))),
inference(subst,[],[refute_0_2907:[bind(X,$fot(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))))),bind(Y,$fot(greatest_lower_bound(X_613,identity))),bind(Z,$fot(identity))]]) ).
cnf(refute_0_3227,plain,
( multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)) != multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity)))
| multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity))) != least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity)))
| multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)) = least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)))),bind(Y0,$fot(multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity))))),bind(Z0,$fot(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity)))))]]) ).
cnf(refute_0_3228,plain,
( multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity))) != least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity)))
| multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)) = least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)),multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity)))) )],[refute_0_3226,refute_0_3227]) ).
cnf(refute_0_3229,plain,
multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)) = least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,greatest_lower_bound(X_613,identity))),least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity)))) )],[refute_0_3225,refute_0_3228]) ).
cnf(refute_0_3230,plain,
( multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)) != least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity)))
| multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity))))
| least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity))))) ),[0],$fot(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))))]]) ).
cnf(refute_0_3231,plain,
( multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity))))
| least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)),least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity)))) )],[refute_0_3229,refute_0_3230]) ).
cnf(refute_0_3232,plain,
multiply(X_139,identity) = X_139,
inference(subst,[],[refute_0_573:[bind(X,$fot(X_139))]]) ).
cnf(refute_0_3233,plain,
least_upper_bound(identity,greatest_lower_bound(identity,X_613)) = identity,
inference(subst,[],[lub_absorbtion:[bind(X,$fot(identity)),bind(Y,$fot(X_613))]]) ).
cnf(refute_0_3234,plain,
multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))) = multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))),
introduced(tautology,[refl,[$fot(multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))))]]) ).
cnf(refute_0_3235,plain,
( multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))) != multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))
| least_upper_bound(identity,greatest_lower_bound(identity,X_613)) != identity
| multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))) = multiply(X_139,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_3236,plain,
( least_upper_bound(identity,greatest_lower_bound(identity,X_613)) != identity
| multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))) = multiply(X_139,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))) )],[refute_0_3234,refute_0_3235]) ).
cnf(refute_0_3237,plain,
multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))) = multiply(X_139,identity),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,greatest_lower_bound(identity,X_613)),identity) )],[refute_0_3233,refute_0_3236]) ).
cnf(refute_0_3238,plain,
( multiply(X_139,identity) != X_139
| multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))) != multiply(X_139,identity)
| multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))) = X_139 ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))))),bind(Y0,$fot(multiply(X_139,identity))),bind(Z0,$fot(X_139))]]) ).
cnf(refute_0_3239,plain,
( multiply(X_139,identity) != X_139
| multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))) = X_139 ),
inference(resolve,[$cnf( $equal(multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))),multiply(X_139,identity)) )],[refute_0_3237,refute_0_3238]) ).
cnf(refute_0_3240,plain,
multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))) = X_139,
inference(resolve,[$cnf( $equal(multiply(X_139,identity),X_139) )],[refute_0_3232,refute_0_3239]) ).
cnf(refute_0_3241,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))),
introduced(tautology,[refl,[$fot(least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))))]]) ).
cnf(refute_0_3242,plain,
( multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))) != X_139
| least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))),least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))))) ),[1,1],$fot(X_139)]]) ).
cnf(refute_0_3243,plain,
( multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))) != X_139
| least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))),least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))))) )],[refute_0_3241,refute_0_3242]) ).
cnf(refute_0_3244,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139),
inference(resolve,[$cnf( $equal(multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))),X_139) )],[refute_0_3240,refute_0_3243]) ).
cnf(refute_0_3245,plain,
multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),X_131)) = least_upper_bound(multiply(X_129,inverse(multiply(X,X_129))),multiply(X_129,X_131)),
inference(subst,[],[monotony_lub1:[bind(X,$fot(X_129)),bind(Y,$fot(inverse(multiply(X,X_129)))),bind(Z,$fot(X_131))]]) ).
cnf(refute_0_3246,plain,
inverse(X) = multiply(X_129,inverse(multiply(X,X_129))),
inference(subst,[],[refute_0_386:[bind(Y,$fot(X_129))]]) ).
cnf(refute_0_3247,plain,
( inverse(X) != multiply(X_129,inverse(multiply(X,X_129)))
| multiply(X_129,inverse(multiply(X,X_129))) = inverse(X) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(X))),bind(Y0,$fot(multiply(X_129,inverse(multiply(X,X_129)))))]]) ).
cnf(refute_0_3248,plain,
multiply(X_129,inverse(multiply(X,X_129))) = inverse(X),
inference(resolve,[$cnf( $equal(inverse(X),multiply(X_129,inverse(multiply(X,X_129)))) )],[refute_0_3246,refute_0_3247]) ).
cnf(refute_0_3249,plain,
( multiply(X_129,inverse(multiply(X,X_129))) != inverse(X)
| multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),X_131)) != least_upper_bound(multiply(X_129,inverse(multiply(X,X_129))),multiply(X_129,X_131))
| multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),X_131)) = least_upper_bound(inverse(X),multiply(X_129,X_131)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),X_131)),least_upper_bound(multiply(X_129,inverse(multiply(X,X_129))),multiply(X_129,X_131))) ),[1,0],$fot(inverse(X))]]) ).
cnf(refute_0_3250,plain,
( multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),X_131)) != least_upper_bound(multiply(X_129,inverse(multiply(X,X_129))),multiply(X_129,X_131))
| multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),X_131)) = least_upper_bound(inverse(X),multiply(X_129,X_131)) ),
inference(resolve,[$cnf( $equal(multiply(X_129,inverse(multiply(X,X_129))),inverse(X)) )],[refute_0_3248,refute_0_3249]) ).
cnf(refute_0_3251,plain,
multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),X_131)) = least_upper_bound(inverse(X),multiply(X_129,X_131)),
inference(resolve,[$cnf( $equal(multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),X_131)),least_upper_bound(multiply(X_129,inverse(multiply(X,X_129))),multiply(X_129,X_131))) )],[refute_0_3245,refute_0_3250]) ).
cnf(refute_0_3252,plain,
multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),least_upper_bound(identity,X_389))) = least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(identity,X_389))),
inference(subst,[],[refute_0_3251:[bind(X_131,$fot(least_upper_bound(identity,X_389)))]]) ).
cnf(refute_0_3253,plain,
multiply(X_386,least_upper_bound(inverse(multiply(inverse(X_386),X_386)),X_387)) = least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)),
inference(subst,[],[refute_0_3251:[bind(X,$fot(inverse(X_386))),bind(X_129,$fot(X_386)),bind(X_131,$fot(X_387))]]) ).
cnf(refute_0_3254,plain,
multiply(inverse(X_386),X_386) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(X_386))]]) ).
cnf(refute_0_3255,plain,
( multiply(X_386,least_upper_bound(inverse(multiply(inverse(X_386),X_386)),X_387)) != least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387))
| multiply(inverse(X_386),X_386) != identity
| multiply(X_386,least_upper_bound(inverse(identity),X_387)) = least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_386,least_upper_bound(inverse(multiply(inverse(X_386),X_386)),X_387)),least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387))) ),[0,1,0,0],$fot(identity)]]) ).
cnf(refute_0_3256,plain,
( multiply(X_386,least_upper_bound(inverse(multiply(inverse(X_386),X_386)),X_387)) != least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387))
| multiply(X_386,least_upper_bound(inverse(identity),X_387)) = least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_386),X_386),identity) )],[refute_0_3254,refute_0_3255]) ).
cnf(refute_0_3257,plain,
multiply(X_386,least_upper_bound(inverse(identity),X_387)) = least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)),
inference(resolve,[$cnf( $equal(multiply(X_386,least_upper_bound(inverse(multiply(inverse(X_386),X_386)),X_387)),least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387))) )],[refute_0_3253,refute_0_3256]) ).
cnf(refute_0_3258,plain,
least_upper_bound(inverse(identity),X_387) = least_upper_bound(inverse(identity),X_387),
introduced(tautology,[refl,[$fot(least_upper_bound(inverse(identity),X_387))]]) ).
cnf(refute_0_3259,plain,
( inverse(identity) != identity
| least_upper_bound(inverse(identity),X_387) != least_upper_bound(inverse(identity),X_387)
| least_upper_bound(inverse(identity),X_387) = least_upper_bound(identity,X_387) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(identity),X_387),least_upper_bound(inverse(identity),X_387)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_3260,plain,
( inverse(identity) != identity
| least_upper_bound(inverse(identity),X_387) = least_upper_bound(identity,X_387) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(identity),X_387),least_upper_bound(inverse(identity),X_387)) )],[refute_0_3258,refute_0_3259]) ).
cnf(refute_0_3261,plain,
least_upper_bound(inverse(identity),X_387) = least_upper_bound(identity,X_387),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[p20_1,refute_0_3260]) ).
cnf(refute_0_3262,plain,
multiply(X_386,least_upper_bound(inverse(identity),X_387)) = multiply(X_386,least_upper_bound(inverse(identity),X_387)),
introduced(tautology,[refl,[$fot(multiply(X_386,least_upper_bound(inverse(identity),X_387)))]]) ).
cnf(refute_0_3263,plain,
( multiply(X_386,least_upper_bound(inverse(identity),X_387)) != multiply(X_386,least_upper_bound(inverse(identity),X_387))
| least_upper_bound(inverse(identity),X_387) != least_upper_bound(identity,X_387)
| multiply(X_386,least_upper_bound(inverse(identity),X_387)) = multiply(X_386,least_upper_bound(identity,X_387)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_386,least_upper_bound(inverse(identity),X_387)),multiply(X_386,least_upper_bound(inverse(identity),X_387))) ),[1,1],$fot(least_upper_bound(identity,X_387))]]) ).
cnf(refute_0_3264,plain,
( least_upper_bound(inverse(identity),X_387) != least_upper_bound(identity,X_387)
| multiply(X_386,least_upper_bound(inverse(identity),X_387)) = multiply(X_386,least_upper_bound(identity,X_387)) ),
inference(resolve,[$cnf( $equal(multiply(X_386,least_upper_bound(inverse(identity),X_387)),multiply(X_386,least_upper_bound(inverse(identity),X_387))) )],[refute_0_3262,refute_0_3263]) ).
cnf(refute_0_3265,plain,
multiply(X_386,least_upper_bound(inverse(identity),X_387)) = multiply(X_386,least_upper_bound(identity,X_387)),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(identity),X_387),least_upper_bound(identity,X_387)) )],[refute_0_3261,refute_0_3264]) ).
cnf(refute_0_3266,plain,
( multiply(X_386,least_upper_bound(inverse(identity),X_387)) != multiply(X_386,least_upper_bound(identity,X_387))
| multiply(X_386,least_upper_bound(inverse(identity),X_387)) != least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387))
| multiply(X_386,least_upper_bound(identity,X_387)) = least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_386,least_upper_bound(inverse(identity),X_387)),least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387))) ),[0],$fot(multiply(X_386,least_upper_bound(identity,X_387)))]]) ).
cnf(refute_0_3267,plain,
( multiply(X_386,least_upper_bound(inverse(identity),X_387)) != least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387))
| multiply(X_386,least_upper_bound(identity,X_387)) = least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)) ),
inference(resolve,[$cnf( $equal(multiply(X_386,least_upper_bound(inverse(identity),X_387)),multiply(X_386,least_upper_bound(identity,X_387))) )],[refute_0_3265,refute_0_3266]) ).
cnf(refute_0_3268,plain,
least_upper_bound(X_386,multiply(X_386,X_387)) = multiply(X_386,least_upper_bound(X_387,identity)),
inference(subst,[],[refute_0_2924:[bind(X_129,$fot(X_386)),bind(X_130,$fot(X_387))]]) ).
cnf(refute_0_3269,plain,
inverse(inverse(X_386)) = X_386,
inference(subst,[],[p20_2:[bind(X,$fot(X_386))]]) ).
cnf(refute_0_3270,plain,
least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)) = least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)),
introduced(tautology,[refl,[$fot(least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)))]]) ).
cnf(refute_0_3271,plain,
( inverse(inverse(X_386)) != X_386
| least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)) != least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387))
| least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)) = least_upper_bound(X_386,multiply(X_386,X_387)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)),least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387))) ),[1,0],$fot(X_386)]]) ).
cnf(refute_0_3272,plain,
( inverse(inverse(X_386)) != X_386
| least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)) = least_upper_bound(X_386,multiply(X_386,X_387)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)),least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387))) )],[refute_0_3270,refute_0_3271]) ).
cnf(refute_0_3273,plain,
least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)) = least_upper_bound(X_386,multiply(X_386,X_387)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_386)),X_386) )],[refute_0_3269,refute_0_3272]) ).
cnf(refute_0_3274,plain,
( least_upper_bound(X_386,multiply(X_386,X_387)) != multiply(X_386,least_upper_bound(X_387,identity))
| least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)) != least_upper_bound(X_386,multiply(X_386,X_387))
| least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)) = multiply(X_386,least_upper_bound(X_387,identity)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)))),bind(Y0,$fot(least_upper_bound(X_386,multiply(X_386,X_387)))),bind(Z0,$fot(multiply(X_386,least_upper_bound(X_387,identity))))]]) ).
cnf(refute_0_3275,plain,
( least_upper_bound(X_386,multiply(X_386,X_387)) != multiply(X_386,least_upper_bound(X_387,identity))
| least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)) = multiply(X_386,least_upper_bound(X_387,identity)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)),least_upper_bound(X_386,multiply(X_386,X_387))) )],[refute_0_3273,refute_0_3274]) ).
cnf(refute_0_3276,plain,
least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)) = multiply(X_386,least_upper_bound(X_387,identity)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_386,multiply(X_386,X_387)),multiply(X_386,least_upper_bound(X_387,identity))) )],[refute_0_3268,refute_0_3275]) ).
cnf(refute_0_3277,plain,
( multiply(X_386,least_upper_bound(identity,X_387)) != least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387))
| least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)) != multiply(X_386,least_upper_bound(X_387,identity))
| multiply(X_386,least_upper_bound(identity,X_387)) = multiply(X_386,least_upper_bound(X_387,identity)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_386,least_upper_bound(identity,X_387)),multiply(X_386,least_upper_bound(X_387,identity))) ),[0],$fot(least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)))]]) ).
cnf(refute_0_3278,plain,
( multiply(X_386,least_upper_bound(identity,X_387)) != least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387))
| multiply(X_386,least_upper_bound(identity,X_387)) = multiply(X_386,least_upper_bound(X_387,identity)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387)),multiply(X_386,least_upper_bound(X_387,identity))) )],[refute_0_3276,refute_0_3277]) ).
cnf(refute_0_3279,plain,
( multiply(X_386,least_upper_bound(inverse(identity),X_387)) != least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387))
| multiply(X_386,least_upper_bound(identity,X_387)) = multiply(X_386,least_upper_bound(X_387,identity)) ),
inference(resolve,[$cnf( $equal(multiply(X_386,least_upper_bound(identity,X_387)),least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387))) )],[refute_0_3267,refute_0_3278]) ).
cnf(refute_0_3280,plain,
multiply(X_386,least_upper_bound(identity,X_387)) = multiply(X_386,least_upper_bound(X_387,identity)),
inference(resolve,[$cnf( $equal(multiply(X_386,least_upper_bound(inverse(identity),X_387)),least_upper_bound(inverse(inverse(X_386)),multiply(X_386,X_387))) )],[refute_0_3257,refute_0_3279]) ).
cnf(refute_0_3281,plain,
multiply(X_129,least_upper_bound(identity,X_389)) = multiply(X_129,least_upper_bound(X_389,identity)),
inference(subst,[],[refute_0_3280:[bind(X_386,$fot(X_129)),bind(X_387,$fot(X_389))]]) ).
cnf(refute_0_3282,plain,
( multiply(X_129,least_upper_bound(identity,X_389)) != multiply(X_129,least_upper_bound(X_389,identity))
| multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),least_upper_bound(identity,X_389))) != least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(identity,X_389)))
| multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),least_upper_bound(identity,X_389))) = least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(X_389,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),least_upper_bound(identity,X_389))),least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(identity,X_389)))) ),[1,1],$fot(multiply(X_129,least_upper_bound(X_389,identity)))]]) ).
cnf(refute_0_3283,plain,
( multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),least_upper_bound(identity,X_389))) != least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(identity,X_389)))
| multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),least_upper_bound(identity,X_389))) = least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(X_389,identity))) ),
inference(resolve,[$cnf( $equal(multiply(X_129,least_upper_bound(identity,X_389)),multiply(X_129,least_upper_bound(X_389,identity))) )],[refute_0_3281,refute_0_3282]) ).
cnf(refute_0_3284,plain,
multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),least_upper_bound(identity,X_389))) = least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(X_389,identity))),
inference(resolve,[$cnf( $equal(multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),least_upper_bound(identity,X_389))),least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(identity,X_389)))) )],[refute_0_3252,refute_0_3283]) ).
cnf(refute_0_3285,plain,
( multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),least_upper_bound(identity,X_389))) != least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(X_389,identity)))
| multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),least_upper_bound(identity,X_389))) != least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(identity,X_389)))
| least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(identity,X_389))) = least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(X_389,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),least_upper_bound(identity,X_389))),least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(X_389,identity)))) ),[0],$fot(least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(identity,X_389))))]]) ).
cnf(refute_0_3286,plain,
( multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),least_upper_bound(identity,X_389))) != least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(X_389,identity)))
| least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(identity,X_389))) = least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(X_389,identity))) ),
inference(resolve,[$cnf( $equal(multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),least_upper_bound(identity,X_389))),least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(identity,X_389)))) )],[refute_0_3252,refute_0_3285]) ).
cnf(refute_0_3287,plain,
least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(identity,X_389))) = least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(X_389,identity))),
inference(resolve,[$cnf( $equal(multiply(X_129,least_upper_bound(inverse(multiply(X,X_129)),least_upper_bound(identity,X_389))),least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(X_389,identity)))) )],[refute_0_3284,refute_0_3286]) ).
cnf(refute_0_3288,plain,
( least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(identity,X_389))) != least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(X_389,identity)))
| least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(X_389,identity))) = least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(identity,X_389))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(identity,X_389))))),bind(Y0,$fot(least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(X_389,identity)))))]]) ).
cnf(refute_0_3289,plain,
least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(X_389,identity))) = least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(identity,X_389))),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(identity,X_389))),least_upper_bound(inverse(X),multiply(X_129,least_upper_bound(X_389,identity)))) )],[refute_0_3287,refute_0_3288]) ).
cnf(refute_0_3290,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))),
inference(subst,[],[refute_0_3289:[bind(X,$fot(greatest_lower_bound(identity,X_613))),bind(X_129,$fot(X_139)),bind(X_389,$fot(greatest_lower_bound(identity,X_613)))]]) ).
cnf(refute_0_3291,plain,
least_upper_bound(X_526,least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_526,inverse(greatest_lower_bound(X_83,identity))))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),X_526),
inference(subst,[],[refute_0_2875:[bind(Y,$fot(inverse(greatest_lower_bound(X_83,identity)))),bind(X_47,$fot(inverse(greatest_lower_bound(identity,X_83)))),bind(X_48,$fot(X_526))]]) ).
cnf(refute_0_3292,plain,
least_upper_bound(least_upper_bound(X_36,X_37),greatest_lower_bound(X_11,least_upper_bound(X_36,X_37))) = least_upper_bound(X_36,X_37),
inference(subst,[],[refute_0_427:[bind(X_10,$fot(least_upper_bound(X_36,X_37)))]]) ).
cnf(refute_0_3293,plain,
least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_11,least_upper_bound(X_36,X_37)))) = least_upper_bound(least_upper_bound(X_36,X_37),greatest_lower_bound(X_11,least_upper_bound(X_36,X_37))),
inference(subst,[],[associativity_of_lub:[bind(X,$fot(X_36)),bind(Y,$fot(X_37)),bind(Z,$fot(greatest_lower_bound(X_11,least_upper_bound(X_36,X_37))))]]) ).
cnf(refute_0_3294,plain,
( least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_11,least_upper_bound(X_36,X_37)))) != least_upper_bound(least_upper_bound(X_36,X_37),greatest_lower_bound(X_11,least_upper_bound(X_36,X_37)))
| least_upper_bound(least_upper_bound(X_36,X_37),greatest_lower_bound(X_11,least_upper_bound(X_36,X_37))) = least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_11,least_upper_bound(X_36,X_37)))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_11,least_upper_bound(X_36,X_37)))))),bind(Y0,$fot(least_upper_bound(least_upper_bound(X_36,X_37),greatest_lower_bound(X_11,least_upper_bound(X_36,X_37)))))]]) ).
cnf(refute_0_3295,plain,
least_upper_bound(least_upper_bound(X_36,X_37),greatest_lower_bound(X_11,least_upper_bound(X_36,X_37))) = least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_11,least_upper_bound(X_36,X_37)))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_11,least_upper_bound(X_36,X_37)))),least_upper_bound(least_upper_bound(X_36,X_37),greatest_lower_bound(X_11,least_upper_bound(X_36,X_37)))) )],[refute_0_3293,refute_0_3294]) ).
cnf(refute_0_3296,plain,
( least_upper_bound(least_upper_bound(X_36,X_37),greatest_lower_bound(X_11,least_upper_bound(X_36,X_37))) != least_upper_bound(X_36,X_37)
| least_upper_bound(least_upper_bound(X_36,X_37),greatest_lower_bound(X_11,least_upper_bound(X_36,X_37))) != least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_11,least_upper_bound(X_36,X_37))))
| least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_11,least_upper_bound(X_36,X_37)))) = least_upper_bound(X_36,X_37) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(least_upper_bound(X_36,X_37),greatest_lower_bound(X_11,least_upper_bound(X_36,X_37))),least_upper_bound(X_36,X_37)) ),[0],$fot(least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_11,least_upper_bound(X_36,X_37)))))]]) ).
cnf(refute_0_3297,plain,
( least_upper_bound(least_upper_bound(X_36,X_37),greatest_lower_bound(X_11,least_upper_bound(X_36,X_37))) != least_upper_bound(X_36,X_37)
| least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_11,least_upper_bound(X_36,X_37)))) = least_upper_bound(X_36,X_37) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_36,X_37),greatest_lower_bound(X_11,least_upper_bound(X_36,X_37))),least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_11,least_upper_bound(X_36,X_37))))) )],[refute_0_3295,refute_0_3296]) ).
cnf(refute_0_3298,plain,
least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_11,least_upper_bound(X_36,X_37)))) = least_upper_bound(X_36,X_37),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_36,X_37),greatest_lower_bound(X_11,least_upper_bound(X_36,X_37))),least_upper_bound(X_36,X_37)) )],[refute_0_3292,refute_0_3297]) ).
cnf(refute_0_3299,plain,
least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity)))))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity))),
inference(subst,[],[refute_0_3298:[bind(X_11,$fot(X_439)),bind(X_36,$fot(identity)),bind(X_37,$fot(inverse(greatest_lower_bound(X_83,identity))))]]) ).
cnf(refute_0_3300,plain,
( least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity))) != inverse(greatest_lower_bound(X_83,identity))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity)))))) != least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity)))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity)))))),least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity)))) ),[0,1,1,1],$fot(inverse(greatest_lower_bound(X_83,identity)))]]) ).
cnf(refute_0_3301,plain,
( least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity)))))) != least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity)))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity))),inverse(greatest_lower_bound(X_83,identity))) )],[refute_0_2472,refute_0_3300]) ).
cnf(refute_0_3302,plain,
least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity)))))),least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity)))) )],[refute_0_3299,refute_0_3301]) ).
cnf(refute_0_3303,plain,
least_upper_bound(least_upper_bound(identity,X_15),least_upper_bound(greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))),X_259)) = least_upper_bound(least_upper_bound(identity,X_15),X_259),
inference(subst,[],[refute_0_2739:[bind(Y,$fot(inverse(least_upper_bound(X_15,identity)))),bind(X_36,$fot(least_upper_bound(identity,X_15))),bind(X_38,$fot(X_259))]]) ).
cnf(refute_0_3304,plain,
multiply(greatest_lower_bound(X_85,inverse(X_75)),greatest_lower_bound(identity,X_75)) = greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),multiply(inverse(X_75),greatest_lower_bound(identity,X_75))),
inference(subst,[],[monotony_glb2:[bind(X,$fot(greatest_lower_bound(identity,X_75))),bind(Y,$fot(X_85)),bind(Z,$fot(inverse(X_75)))]]) ).
cnf(refute_0_3305,plain,
( multiply(greatest_lower_bound(X_85,inverse(X_75)),greatest_lower_bound(identity,X_75)) != greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),multiply(inverse(X_75),greatest_lower_bound(identity,X_75)))
| multiply(inverse(X_75),greatest_lower_bound(identity,X_75)) != greatest_lower_bound(identity,inverse(X_75))
| multiply(greatest_lower_bound(X_85,inverse(X_75)),greatest_lower_bound(identity,X_75)) = greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),greatest_lower_bound(identity,inverse(X_75))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(X_85,inverse(X_75)),greatest_lower_bound(identity,X_75)),greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),multiply(inverse(X_75),greatest_lower_bound(identity,X_75)))) ),[1,1],$fot(greatest_lower_bound(identity,inverse(X_75)))]]) ).
cnf(refute_0_3306,plain,
( multiply(greatest_lower_bound(X_85,inverse(X_75)),greatest_lower_bound(identity,X_75)) != greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),multiply(inverse(X_75),greatest_lower_bound(identity,X_75)))
| multiply(greatest_lower_bound(X_85,inverse(X_75)),greatest_lower_bound(identity,X_75)) = greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),greatest_lower_bound(identity,inverse(X_75))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_75),greatest_lower_bound(identity,X_75)),greatest_lower_bound(identity,inverse(X_75))) )],[refute_0_55,refute_0_3305]) ).
cnf(refute_0_3307,plain,
multiply(greatest_lower_bound(X_85,inverse(X_75)),greatest_lower_bound(identity,X_75)) = greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),greatest_lower_bound(identity,inverse(X_75))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_85,inverse(X_75)),greatest_lower_bound(identity,X_75)),greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),multiply(inverse(X_75),greatest_lower_bound(identity,X_75)))) )],[refute_0_3304,refute_0_3306]) ).
cnf(refute_0_3308,plain,
greatest_lower_bound(identity,greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),inverse(X_75))) = greatest_lower_bound(identity,greatest_lower_bound(inverse(X_75),multiply(X_85,greatest_lower_bound(identity,X_75)))),
inference(subst,[],[refute_0_1565:[bind(X_15,$fot(inverse(X_75))),bind(X_53,$fot(identity)),bind(X_54,$fot(multiply(X_85,greatest_lower_bound(identity,X_75))))]]) ).
cnf(refute_0_3309,plain,
greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),greatest_lower_bound(identity,inverse(X_75))) = greatest_lower_bound(identity,greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),inverse(X_75))),
inference(subst,[],[refute_0_1310:[bind(Y,$fot(identity)),bind(X_43,$fot(multiply(X_85,greatest_lower_bound(identity,X_75)))),bind(X_45,$fot(inverse(X_75)))]]) ).
cnf(refute_0_3310,plain,
( greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),greatest_lower_bound(identity,inverse(X_75))) != greatest_lower_bound(identity,greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),inverse(X_75)))
| greatest_lower_bound(identity,greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),inverse(X_75))) != greatest_lower_bound(identity,greatest_lower_bound(inverse(X_75),multiply(X_85,greatest_lower_bound(identity,X_75))))
| greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),greatest_lower_bound(identity,inverse(X_75))) = greatest_lower_bound(identity,greatest_lower_bound(inverse(X_75),multiply(X_85,greatest_lower_bound(identity,X_75)))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),greatest_lower_bound(identity,inverse(X_75))))),bind(Y0,$fot(greatest_lower_bound(identity,greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),inverse(X_75))))),bind(Z0,$fot(greatest_lower_bound(identity,greatest_lower_bound(inverse(X_75),multiply(X_85,greatest_lower_bound(identity,X_75))))))]]) ).
cnf(refute_0_3311,plain,
( greatest_lower_bound(identity,greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),inverse(X_75))) != greatest_lower_bound(identity,greatest_lower_bound(inverse(X_75),multiply(X_85,greatest_lower_bound(identity,X_75))))
| greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),greatest_lower_bound(identity,inverse(X_75))) = greatest_lower_bound(identity,greatest_lower_bound(inverse(X_75),multiply(X_85,greatest_lower_bound(identity,X_75)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),greatest_lower_bound(identity,inverse(X_75))),greatest_lower_bound(identity,greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),inverse(X_75)))) )],[refute_0_3309,refute_0_3310]) ).
cnf(refute_0_3312,plain,
greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),greatest_lower_bound(identity,inverse(X_75))) = greatest_lower_bound(identity,greatest_lower_bound(inverse(X_75),multiply(X_85,greatest_lower_bound(identity,X_75)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),inverse(X_75))),greatest_lower_bound(identity,greatest_lower_bound(inverse(X_75),multiply(X_85,greatest_lower_bound(identity,X_75))))) )],[refute_0_3308,refute_0_3311]) ).
cnf(refute_0_3313,plain,
( multiply(greatest_lower_bound(X_85,inverse(X_75)),greatest_lower_bound(identity,X_75)) != greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),greatest_lower_bound(identity,inverse(X_75)))
| greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),greatest_lower_bound(identity,inverse(X_75))) != greatest_lower_bound(identity,greatest_lower_bound(inverse(X_75),multiply(X_85,greatest_lower_bound(identity,X_75))))
| multiply(greatest_lower_bound(X_85,inverse(X_75)),greatest_lower_bound(identity,X_75)) = greatest_lower_bound(identity,greatest_lower_bound(inverse(X_75),multiply(X_85,greatest_lower_bound(identity,X_75)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(greatest_lower_bound(X_85,inverse(X_75)),greatest_lower_bound(identity,X_75)),greatest_lower_bound(identity,greatest_lower_bound(inverse(X_75),multiply(X_85,greatest_lower_bound(identity,X_75))))) ),[0],$fot(greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),greatest_lower_bound(identity,inverse(X_75))))]]) ).
cnf(refute_0_3314,plain,
( multiply(greatest_lower_bound(X_85,inverse(X_75)),greatest_lower_bound(identity,X_75)) != greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),greatest_lower_bound(identity,inverse(X_75)))
| multiply(greatest_lower_bound(X_85,inverse(X_75)),greatest_lower_bound(identity,X_75)) = greatest_lower_bound(identity,greatest_lower_bound(inverse(X_75),multiply(X_85,greatest_lower_bound(identity,X_75)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),greatest_lower_bound(identity,inverse(X_75))),greatest_lower_bound(identity,greatest_lower_bound(inverse(X_75),multiply(X_85,greatest_lower_bound(identity,X_75))))) )],[refute_0_3312,refute_0_3313]) ).
cnf(refute_0_3315,plain,
multiply(greatest_lower_bound(X_85,inverse(X_75)),greatest_lower_bound(identity,X_75)) = greatest_lower_bound(identity,greatest_lower_bound(inverse(X_75),multiply(X_85,greatest_lower_bound(identity,X_75)))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_85,inverse(X_75)),greatest_lower_bound(identity,X_75)),greatest_lower_bound(multiply(X_85,greatest_lower_bound(identity,X_75)),greatest_lower_bound(identity,inverse(X_75)))) )],[refute_0_3307,refute_0_3314]) ).
cnf(refute_0_3316,plain,
multiply(greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity))),greatest_lower_bound(identity,least_upper_bound(X_15,identity))) = greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))),
inference(subst,[],[refute_0_3315:[bind(X_75,$fot(least_upper_bound(X_15,identity))),bind(X_85,$fot(identity))]]) ).
cnf(refute_0_3317,plain,
multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))) = greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity))),
inference(subst,[],[refute_0_55:[bind(X_75,$fot(least_upper_bound(X_15,identity)))]]) ).
cnf(refute_0_3318,plain,
greatest_lower_bound(identity,least_upper_bound(X_15,identity)) = identity,
inference(subst,[],[refute_0_450:[bind(X_14,$fot(identity))]]) ).
cnf(refute_0_3319,plain,
( multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))) != greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity)))
| greatest_lower_bound(identity,least_upper_bound(X_15,identity)) != identity
| multiply(inverse(least_upper_bound(X_15,identity)),identity) = greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))),greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity)))) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_3320,plain,
( multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))) != greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity)))
| multiply(inverse(least_upper_bound(X_15,identity)),identity) = greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,least_upper_bound(X_15,identity)),identity) )],[refute_0_3318,refute_0_3319]) ).
cnf(refute_0_3321,plain,
multiply(inverse(least_upper_bound(X_15,identity)),identity) = greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))),greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity)))) )],[refute_0_3317,refute_0_3320]) ).
cnf(refute_0_3322,plain,
multiply(inverse(least_upper_bound(X_15,identity)),identity) = inverse(least_upper_bound(X_15,identity)),
inference(subst,[],[refute_0_573:[bind(X,$fot(inverse(least_upper_bound(X_15,identity))))]]) ).
cnf(refute_0_3323,plain,
( multiply(inverse(least_upper_bound(X_15,identity)),identity) != greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity)))
| multiply(inverse(least_upper_bound(X_15,identity)),identity) != inverse(least_upper_bound(X_15,identity))
| inverse(least_upper_bound(X_15,identity)) = greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(least_upper_bound(X_15,identity)),identity),greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity)))) ),[0],$fot(inverse(least_upper_bound(X_15,identity)))]]) ).
cnf(refute_0_3324,plain,
( multiply(inverse(least_upper_bound(X_15,identity)),identity) != greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity)))
| inverse(least_upper_bound(X_15,identity)) = greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(X_15,identity)),identity),inverse(least_upper_bound(X_15,identity))) )],[refute_0_3322,refute_0_3323]) ).
cnf(refute_0_3325,plain,
inverse(least_upper_bound(X_15,identity)) = greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(X_15,identity)),identity),greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity)))) )],[refute_0_3321,refute_0_3324]) ).
cnf(refute_0_3326,plain,
( inverse(least_upper_bound(X_15,identity)) != greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity)))
| greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity))) = inverse(least_upper_bound(X_15,identity)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(least_upper_bound(X_15,identity)))),bind(Y0,$fot(greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity)))))]]) ).
cnf(refute_0_3327,plain,
greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity))) = inverse(least_upper_bound(X_15,identity)),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity)))) )],[refute_0_3325,refute_0_3326]) ).
cnf(refute_0_3328,plain,
( multiply(greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity))),greatest_lower_bound(identity,least_upper_bound(X_15,identity))) != greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity)))))
| greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity))) != inverse(least_upper_bound(X_15,identity))
| multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))) = greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity))),greatest_lower_bound(identity,least_upper_bound(X_15,identity))),greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity)))))) ),[0,0],$fot(inverse(least_upper_bound(X_15,identity)))]]) ).
cnf(refute_0_3329,plain,
( multiply(greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity))),greatest_lower_bound(identity,least_upper_bound(X_15,identity))) != greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity)))))
| multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))) = greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity))),inverse(least_upper_bound(X_15,identity))) )],[refute_0_3327,refute_0_3328]) ).
cnf(refute_0_3330,plain,
multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))) = greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,inverse(least_upper_bound(X_15,identity))),greatest_lower_bound(identity,least_upper_bound(X_15,identity))),greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity)))))) )],[refute_0_3316,refute_0_3329]) ).
cnf(refute_0_3331,plain,
( multiply(inverse(X),greatest_lower_bound(X_70,inverse(inverse(X)))) != greatest_lower_bound(identity,multiply(inverse(X),X_70))
| inverse(inverse(X)) != X
| multiply(inverse(X),greatest_lower_bound(X_70,X)) = greatest_lower_bound(identity,multiply(inverse(X),X_70)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X),greatest_lower_bound(X_70,inverse(inverse(X)))),greatest_lower_bound(identity,multiply(inverse(X),X_70))) ),[0,1,1],$fot(X)]]) ).
cnf(refute_0_3332,plain,
( multiply(inverse(X),greatest_lower_bound(X_70,inverse(inverse(X)))) != greatest_lower_bound(identity,multiply(inverse(X),X_70))
| multiply(inverse(X),greatest_lower_bound(X_70,X)) = greatest_lower_bound(identity,multiply(inverse(X),X_70)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X)),X) )],[p20_2,refute_0_3331]) ).
cnf(refute_0_3333,plain,
multiply(inverse(X),greatest_lower_bound(X_70,X)) = greatest_lower_bound(identity,multiply(inverse(X),X_70)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),greatest_lower_bound(X_70,inverse(inverse(X)))),greatest_lower_bound(identity,multiply(inverse(X),X_70))) )],[refute_0_2498,refute_0_3332]) ).
cnf(refute_0_3334,plain,
multiply(inverse(least_upper_bound(X_15,X_152)),greatest_lower_bound(X_152,least_upper_bound(X_15,X_152))) = greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,X_152)),X_152)),
inference(subst,[],[refute_0_3333:[bind(X,$fot(least_upper_bound(X_15,X_152))),bind(X_70,$fot(X_152))]]) ).
cnf(refute_0_3335,plain,
greatest_lower_bound(X_152,least_upper_bound(X_15,X_152)) = X_152,
inference(subst,[],[refute_0_450:[bind(X_14,$fot(X_152))]]) ).
cnf(refute_0_3336,plain,
( multiply(inverse(least_upper_bound(X_15,X_152)),greatest_lower_bound(X_152,least_upper_bound(X_15,X_152))) != greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,X_152)),X_152))
| greatest_lower_bound(X_152,least_upper_bound(X_15,X_152)) != X_152
| multiply(inverse(least_upper_bound(X_15,X_152)),X_152) = greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,X_152)),X_152)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(least_upper_bound(X_15,X_152)),greatest_lower_bound(X_152,least_upper_bound(X_15,X_152))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,X_152)),X_152))) ),[0,1],$fot(X_152)]]) ).
cnf(refute_0_3337,plain,
( multiply(inverse(least_upper_bound(X_15,X_152)),greatest_lower_bound(X_152,least_upper_bound(X_15,X_152))) != greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,X_152)),X_152))
| multiply(inverse(least_upper_bound(X_15,X_152)),X_152) = greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,X_152)),X_152)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_152,least_upper_bound(X_15,X_152)),X_152) )],[refute_0_3335,refute_0_3336]) ).
cnf(refute_0_3338,plain,
multiply(inverse(least_upper_bound(X_15,X_152)),X_152) = greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,X_152)),X_152)),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(X_15,X_152)),greatest_lower_bound(X_152,least_upper_bound(X_15,X_152))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,X_152)),X_152))) )],[refute_0_3334,refute_0_3337]) ).
cnf(refute_0_3339,plain,
( multiply(inverse(least_upper_bound(X_15,X_152)),X_152) != greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,X_152)),X_152))
| greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,X_152)),X_152)) = multiply(inverse(least_upper_bound(X_15,X_152)),X_152) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(inverse(least_upper_bound(X_15,X_152)),X_152))),bind(Y0,$fot(greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,X_152)),X_152))))]]) ).
cnf(refute_0_3340,plain,
greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,X_152)),X_152)) = multiply(inverse(least_upper_bound(X_15,X_152)),X_152),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(X_15,X_152)),X_152),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,X_152)),X_152))) )],[refute_0_3338,refute_0_3339]) ).
cnf(refute_0_3341,plain,
greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,identity)),identity)) = multiply(inverse(least_upper_bound(X_15,identity)),identity),
inference(subst,[],[refute_0_3340:[bind(X_152,$fot(identity))]]) ).
cnf(refute_0_3342,plain,
( multiply(inverse(least_upper_bound(X_15,identity)),identity) != inverse(least_upper_bound(X_15,identity))
| greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,identity)),identity)) != multiply(inverse(least_upper_bound(X_15,identity)),identity)
| greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,identity)),identity)) = inverse(least_upper_bound(X_15,identity)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,identity)),identity)))),bind(Y0,$fot(multiply(inverse(least_upper_bound(X_15,identity)),identity))),bind(Z0,$fot(inverse(least_upper_bound(X_15,identity))))]]) ).
cnf(refute_0_3343,plain,
( multiply(inverse(least_upper_bound(X_15,identity)),identity) != inverse(least_upper_bound(X_15,identity))
| greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,identity)),identity)) = inverse(least_upper_bound(X_15,identity)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,identity)),identity)),multiply(inverse(least_upper_bound(X_15,identity)),identity)) )],[refute_0_3341,refute_0_3342]) ).
cnf(refute_0_3344,plain,
greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,identity)),identity)) = inverse(least_upper_bound(X_15,identity)),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(X_15,identity)),identity),inverse(least_upper_bound(X_15,identity))) )],[refute_0_3322,refute_0_3343]) ).
cnf(refute_0_3345,plain,
multiply(inverse(multiply(inverse(X_67),X_68)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) = greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68))),
inference(subst,[],[refute_0_55:[bind(X_75,$fot(multiply(inverse(X_67),X_68)))]]) ).
cnf(refute_0_3346,plain,
( multiply(inverse(multiply(inverse(X_67),X_68)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) != greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68)))
| greatest_lower_bound(identity,multiply(inverse(X_67),X_68)) != multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))
| multiply(inverse(multiply(inverse(X_67),X_68)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) = greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_67),X_68)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))),greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68)))) ),[0,1],$fot(multiply(inverse(X_67),greatest_lower_bound(X_67,X_68)))]]) ).
cnf(refute_0_3347,plain,
( multiply(inverse(multiply(inverse(X_67),X_68)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))) != greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68)))
| multiply(inverse(multiply(inverse(X_67),X_68)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) = greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(inverse(X_67),X_68)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) )],[refute_0_287,refute_0_3346]) ).
cnf(refute_0_3348,plain,
multiply(inverse(multiply(inverse(X_67),X_68)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) = greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_67),X_68)),greatest_lower_bound(identity,multiply(inverse(X_67),X_68))),greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68)))) )],[refute_0_3345,refute_0_3347]) ).
cnf(refute_0_3349,plain,
multiply(inverse(multiply(inverse(X_67),X_68)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) = multiply(inverse(X_68),greatest_lower_bound(X_67,X_68)),
inference(subst,[],[refute_0_2779:[bind(Y,$fot(inverse(X_67))),bind(Z,$fot(greatest_lower_bound(X_67,X_68))),bind(X_61,$fot(X_68))]]) ).
cnf(refute_0_3350,plain,
( multiply(inverse(multiply(inverse(X_67),X_68)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) != multiply(inverse(X_68),greatest_lower_bound(X_67,X_68))
| multiply(inverse(multiply(inverse(X_67),X_68)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) != greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68)))
| multiply(inverse(X_68),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_67),X_68)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))),greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68)))) ),[0],$fot(multiply(inverse(X_68),greatest_lower_bound(X_67,X_68)))]]) ).
cnf(refute_0_3351,plain,
( multiply(inverse(multiply(inverse(X_67),X_68)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) != greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68)))
| multiply(inverse(X_68),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_67),X_68)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))),multiply(inverse(X_68),greatest_lower_bound(X_67,X_68))) )],[refute_0_3349,refute_0_3350]) ).
cnf(refute_0_3352,plain,
inverse(multiply(inverse(X_67),X_68)) = multiply(inverse(X_68),X_67),
inference(subst,[],[refute_0_63:[bind(X,$fot(X_67)),bind(X_23,$fot(X_68))]]) ).
cnf(refute_0_3353,plain,
greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68))) = greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68))))]]) ).
cnf(refute_0_3354,plain,
( greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68))) != greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68)))
| inverse(multiply(inverse(X_67),X_68)) != multiply(inverse(X_68),X_67)
| greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68))) = greatest_lower_bound(identity,multiply(inverse(X_68),X_67)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68))),greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68)))) ),[1,1],$fot(multiply(inverse(X_68),X_67))]]) ).
cnf(refute_0_3355,plain,
( inverse(multiply(inverse(X_67),X_68)) != multiply(inverse(X_68),X_67)
| greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68))) = greatest_lower_bound(identity,multiply(inverse(X_68),X_67)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68))),greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68)))) )],[refute_0_3353,refute_0_3354]) ).
cnf(refute_0_3356,plain,
greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68))) = greatest_lower_bound(identity,multiply(inverse(X_68),X_67)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_67),X_68)),multiply(inverse(X_68),X_67)) )],[refute_0_3352,refute_0_3355]) ).
cnf(refute_0_3357,plain,
( multiply(inverse(X_68),greatest_lower_bound(X_67,X_68)) != greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68)))
| greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68))) != greatest_lower_bound(identity,multiply(inverse(X_68),X_67))
| multiply(inverse(X_68),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(identity,multiply(inverse(X_68),X_67)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_68),greatest_lower_bound(X_67,X_68)),greatest_lower_bound(identity,multiply(inverse(X_68),X_67))) ),[0],$fot(greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68))))]]) ).
cnf(refute_0_3358,plain,
( multiply(inverse(X_68),greatest_lower_bound(X_67,X_68)) != greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68)))
| multiply(inverse(X_68),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(identity,multiply(inverse(X_68),X_67)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68))),greatest_lower_bound(identity,multiply(inverse(X_68),X_67))) )],[refute_0_3356,refute_0_3357]) ).
cnf(refute_0_3359,plain,
( multiply(inverse(multiply(inverse(X_67),X_68)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))) != greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68)))
| multiply(inverse(X_68),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(identity,multiply(inverse(X_68),X_67)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_68),greatest_lower_bound(X_67,X_68)),greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68)))) )],[refute_0_3351,refute_0_3358]) ).
cnf(refute_0_3360,plain,
multiply(inverse(X_68),greatest_lower_bound(X_67,X_68)) = greatest_lower_bound(identity,multiply(inverse(X_68),X_67)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_67),X_68)),multiply(inverse(X_67),greatest_lower_bound(X_67,X_68))),greatest_lower_bound(identity,inverse(multiply(inverse(X_67),X_68)))) )],[refute_0_3348,refute_0_3359]) ).
cnf(refute_0_3361,plain,
multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))) = greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,identity)),identity)),
inference(subst,[],[refute_0_3360:[bind(X_67,$fot(identity)),bind(X_68,$fot(least_upper_bound(X_15,identity)))]]) ).
cnf(refute_0_3362,plain,
( multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))) != greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,identity)),identity))
| greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,identity)),identity)) != inverse(least_upper_bound(X_15,identity))
| multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))) = inverse(least_upper_bound(X_15,identity)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))))),bind(Y0,$fot(greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,identity)),identity)))),bind(Z0,$fot(inverse(least_upper_bound(X_15,identity))))]]) ).
cnf(refute_0_3363,plain,
( greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,identity)),identity)) != inverse(least_upper_bound(X_15,identity))
| multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))) = inverse(least_upper_bound(X_15,identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))),greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,identity)),identity))) )],[refute_0_3361,refute_0_3362]) ).
cnf(refute_0_3364,plain,
multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))) = inverse(least_upper_bound(X_15,identity)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X_15,identity)),identity)),inverse(least_upper_bound(X_15,identity))) )],[refute_0_3344,refute_0_3363]) ).
cnf(refute_0_3365,plain,
( multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))) != greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity)))))
| multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))) != inverse(least_upper_bound(X_15,identity))
| inverse(least_upper_bound(X_15,identity)) = greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))),greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity)))))) ),[0],$fot(inverse(least_upper_bound(X_15,identity)))]]) ).
cnf(refute_0_3366,plain,
( multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))) != greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity)))))
| inverse(least_upper_bound(X_15,identity)) = greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))),inverse(least_upper_bound(X_15,identity))) )],[refute_0_3364,refute_0_3365]) ).
cnf(refute_0_3367,plain,
greatest_lower_bound(X_244,greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,X_15))) = greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(least_upper_bound(X_15,X_19),X_244)),
inference(subst,[],[refute_0_1601:[bind(X,$fot(least_upper_bound(X_15,X_19))),bind(Y,$fot(X_244)),bind(X_104,$fot(least_upper_bound(X_19,X_15)))]]) ).
cnf(refute_0_3368,plain,
( greatest_lower_bound(X_244,greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,X_15))) != greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(least_upper_bound(X_15,X_19),X_244))
| greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,X_15)) != least_upper_bound(X_15,X_19)
| greatest_lower_bound(X_244,least_upper_bound(X_15,X_19)) = greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(least_upper_bound(X_15,X_19),X_244)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_244,greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,X_15))),greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(least_upper_bound(X_15,X_19),X_244))) ),[0,1],$fot(least_upper_bound(X_15,X_19))]]) ).
cnf(refute_0_3369,plain,
( greatest_lower_bound(X_244,greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,X_15))) != greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(least_upper_bound(X_15,X_19),X_244))
| greatest_lower_bound(X_244,least_upper_bound(X_15,X_19)) = greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(least_upper_bound(X_15,X_19),X_244)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,X_15)),least_upper_bound(X_15,X_19)) )],[refute_0_455,refute_0_3368]) ).
cnf(refute_0_3370,plain,
greatest_lower_bound(X_244,least_upper_bound(X_15,X_19)) = greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(least_upper_bound(X_15,X_19),X_244)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_244,greatest_lower_bound(least_upper_bound(X_15,X_19),least_upper_bound(X_19,X_15))),greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(least_upper_bound(X_15,X_19),X_244))) )],[refute_0_3367,refute_0_3369]) ).
cnf(refute_0_3371,plain,
greatest_lower_bound(least_upper_bound(X_97,X_98),greatest_lower_bound(least_upper_bound(X_98,X_97),Z)) = greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)),Z),
inference(subst,[],[associativity_of_glb:[bind(X,$fot(least_upper_bound(X_97,X_98))),bind(Y,$fot(least_upper_bound(X_98,X_97)))]]) ).
cnf(refute_0_3372,plain,
( greatest_lower_bound(least_upper_bound(X_97,X_98),greatest_lower_bound(least_upper_bound(X_98,X_97),Z)) != greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)),Z)
| greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)) != least_upper_bound(X_97,X_98)
| greatest_lower_bound(least_upper_bound(X_97,X_98),greatest_lower_bound(least_upper_bound(X_98,X_97),Z)) = greatest_lower_bound(least_upper_bound(X_97,X_98),Z) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_97,X_98),greatest_lower_bound(least_upper_bound(X_98,X_97),Z)),greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)),Z)) ),[1,0],$fot(least_upper_bound(X_97,X_98))]]) ).
cnf(refute_0_3373,plain,
( greatest_lower_bound(least_upper_bound(X_97,X_98),greatest_lower_bound(least_upper_bound(X_98,X_97),Z)) != greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)),Z)
| greatest_lower_bound(least_upper_bound(X_97,X_98),greatest_lower_bound(least_upper_bound(X_98,X_97),Z)) = greatest_lower_bound(least_upper_bound(X_97,X_98),Z) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)),least_upper_bound(X_97,X_98)) )],[refute_0_1968,refute_0_3372]) ).
cnf(refute_0_3374,plain,
greatest_lower_bound(least_upper_bound(X_97,X_98),greatest_lower_bound(least_upper_bound(X_98,X_97),Z)) = greatest_lower_bound(least_upper_bound(X_97,X_98),Z),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_97,X_98),greatest_lower_bound(least_upper_bound(X_98,X_97),Z)),greatest_lower_bound(greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)),Z)) )],[refute_0_3371,refute_0_3373]) ).
cnf(refute_0_3375,plain,
greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(least_upper_bound(X_15,X_19),X_244)) = greatest_lower_bound(least_upper_bound(X_19,X_15),X_244),
inference(subst,[],[refute_0_3374:[bind(Z,$fot(X_244)),bind(X_97,$fot(X_19)),bind(X_98,$fot(X_15))]]) ).
cnf(refute_0_3376,plain,
( greatest_lower_bound(X_244,least_upper_bound(X_15,X_19)) != greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(least_upper_bound(X_15,X_19),X_244))
| greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(least_upper_bound(X_15,X_19),X_244)) != greatest_lower_bound(least_upper_bound(X_19,X_15),X_244)
| greatest_lower_bound(X_244,least_upper_bound(X_15,X_19)) = greatest_lower_bound(least_upper_bound(X_19,X_15),X_244) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(X_244,least_upper_bound(X_15,X_19)),greatest_lower_bound(least_upper_bound(X_19,X_15),X_244)) ),[0],$fot(greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(least_upper_bound(X_15,X_19),X_244)))]]) ).
cnf(refute_0_3377,plain,
( greatest_lower_bound(X_244,least_upper_bound(X_15,X_19)) != greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(least_upper_bound(X_15,X_19),X_244))
| greatest_lower_bound(X_244,least_upper_bound(X_15,X_19)) = greatest_lower_bound(least_upper_bound(X_19,X_15),X_244) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(least_upper_bound(X_15,X_19),X_244)),greatest_lower_bound(least_upper_bound(X_19,X_15),X_244)) )],[refute_0_3375,refute_0_3376]) ).
cnf(refute_0_3378,plain,
greatest_lower_bound(X_244,least_upper_bound(X_15,X_19)) = greatest_lower_bound(least_upper_bound(X_19,X_15),X_244),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_244,least_upper_bound(X_15,X_19)),greatest_lower_bound(least_upper_bound(X_19,X_15),greatest_lower_bound(least_upper_bound(X_15,X_19),X_244))) )],[refute_0_3370,refute_0_3377]) ).
cnf(refute_0_3379,plain,
greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(X_15,identity)) = greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))),
inference(subst,[],[refute_0_3378:[bind(X_19,$fot(identity)),bind(X_244,$fot(inverse(least_upper_bound(X_15,identity))))]]) ).
cnf(refute_0_3380,plain,
multiply(identity,least_upper_bound(X_15,identity)) = least_upper_bound(X_15,identity),
inference(subst,[],[left_identity:[bind(X,$fot(least_upper_bound(X_15,identity)))]]) ).
cnf(refute_0_3381,plain,
greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))))]]) ).
cnf(refute_0_3382,plain,
( multiply(identity,least_upper_bound(X_15,identity)) != least_upper_bound(X_15,identity)
| greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))) != greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))
| greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(X_15,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))),greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))) ),[1,1],$fot(least_upper_bound(X_15,identity))]]) ).
cnf(refute_0_3383,plain,
( multiply(identity,least_upper_bound(X_15,identity)) != least_upper_bound(X_15,identity)
| greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(X_15,identity)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))),greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))) )],[refute_0_3381,refute_0_3382]) ).
cnf(refute_0_3384,plain,
greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(X_15,identity)),
inference(resolve,[$cnf( $equal(multiply(identity,least_upper_bound(X_15,identity)),least_upper_bound(X_15,identity)) )],[refute_0_3380,refute_0_3383]) ).
cnf(refute_0_3385,plain,
( greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))) != greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(X_15,identity))
| greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(X_15,identity)) != greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity)))
| greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))) = greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))))),bind(Y0,$fot(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(X_15,identity)))),bind(Z0,$fot(greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity)))))]]) ).
cnf(refute_0_3386,plain,
( greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(X_15,identity)) != greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity)))
| greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))) = greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))),greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(X_15,identity))) )],[refute_0_3384,refute_0_3385]) ).
cnf(refute_0_3387,plain,
greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))) = greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(X_15,identity)),greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity)))) )],[refute_0_3379,refute_0_3386]) ).
cnf(refute_0_3388,plain,
greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))),
inference(subst,[],[refute_0_873:[bind(X_190,$fot(least_upper_bound(X_15,identity))),bind(X_67,$fot(multiply(identity,least_upper_bound(X_15,identity))))]]) ).
cnf(refute_0_3389,plain,
greatest_lower_bound(identity,greatest_lower_bound(X_43,inverse(least_upper_bound(X_164,identity)))) = greatest_lower_bound(X_43,greatest_lower_bound(identity,inverse(least_upper_bound(X_164,identity)))),
inference(subst,[],[refute_0_1308:[bind(Y,$fot(identity)),bind(X_45,$fot(inverse(least_upper_bound(X_164,identity))))]]) ).
cnf(refute_0_3390,plain,
inverse(least_upper_bound(X_164,identity)) = greatest_lower_bound(identity,inverse(least_upper_bound(X_164,identity))),
inference(subst,[],[refute_0_3325:[bind(X_15,$fot(X_164))]]) ).
cnf(refute_0_3391,plain,
( inverse(least_upper_bound(X_164,identity)) != greatest_lower_bound(identity,inverse(least_upper_bound(X_164,identity)))
| greatest_lower_bound(identity,inverse(least_upper_bound(X_164,identity))) = inverse(least_upper_bound(X_164,identity)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(least_upper_bound(X_164,identity)))),bind(Y0,$fot(greatest_lower_bound(identity,inverse(least_upper_bound(X_164,identity)))))]]) ).
cnf(refute_0_3392,plain,
greatest_lower_bound(identity,inverse(least_upper_bound(X_164,identity))) = inverse(least_upper_bound(X_164,identity)),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(X_164,identity)),greatest_lower_bound(identity,inverse(least_upper_bound(X_164,identity)))) )],[refute_0_3390,refute_0_3391]) ).
cnf(refute_0_3393,plain,
( greatest_lower_bound(identity,greatest_lower_bound(X_43,inverse(least_upper_bound(X_164,identity)))) != greatest_lower_bound(X_43,greatest_lower_bound(identity,inverse(least_upper_bound(X_164,identity))))
| greatest_lower_bound(identity,inverse(least_upper_bound(X_164,identity))) != inverse(least_upper_bound(X_164,identity))
| greatest_lower_bound(identity,greatest_lower_bound(X_43,inverse(least_upper_bound(X_164,identity)))) = greatest_lower_bound(X_43,inverse(least_upper_bound(X_164,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(X_43,inverse(least_upper_bound(X_164,identity)))),greatest_lower_bound(X_43,greatest_lower_bound(identity,inverse(least_upper_bound(X_164,identity))))) ),[1,1],$fot(inverse(least_upper_bound(X_164,identity)))]]) ).
cnf(refute_0_3394,plain,
( greatest_lower_bound(identity,greatest_lower_bound(X_43,inverse(least_upper_bound(X_164,identity)))) != greatest_lower_bound(X_43,greatest_lower_bound(identity,inverse(least_upper_bound(X_164,identity))))
| greatest_lower_bound(identity,greatest_lower_bound(X_43,inverse(least_upper_bound(X_164,identity)))) = greatest_lower_bound(X_43,inverse(least_upper_bound(X_164,identity))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(least_upper_bound(X_164,identity))),inverse(least_upper_bound(X_164,identity))) )],[refute_0_3392,refute_0_3393]) ).
cnf(refute_0_3395,plain,
greatest_lower_bound(identity,greatest_lower_bound(X_43,inverse(least_upper_bound(X_164,identity)))) = greatest_lower_bound(X_43,inverse(least_upper_bound(X_164,identity))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(X_43,inverse(least_upper_bound(X_164,identity)))),greatest_lower_bound(X_43,greatest_lower_bound(identity,inverse(least_upper_bound(X_164,identity))))) )],[refute_0_3389,refute_0_3394]) ).
cnf(refute_0_3396,plain,
greatest_lower_bound(identity,greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity)))) = greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity))),
inference(subst,[],[refute_0_3395:[bind(X_164,$fot(X_15)),bind(X_43,$fot(multiply(identity,least_upper_bound(X_15,identity))))]]) ).
cnf(refute_0_3397,plain,
( greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity))) != greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))
| greatest_lower_bound(identity,greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity)))) != greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity)))
| greatest_lower_bound(identity,greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity)))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(identity,greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity)))))),bind(Y0,$fot(greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity))))),bind(Z0,$fot(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))))]]) ).
cnf(refute_0_3398,plain,
( greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity))) != greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))
| greatest_lower_bound(identity,greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity)))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity)))),greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity)))) )],[refute_0_3396,refute_0_3397]) ).
cnf(refute_0_3399,plain,
greatest_lower_bound(identity,greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity)))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity))),greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))) )],[refute_0_3388,refute_0_3398]) ).
cnf(refute_0_3400,plain,
greatest_lower_bound(X_244,greatest_lower_bound(X_243,multiply(X_243,X_67))) = greatest_lower_bound(multiply(X_243,X_67),greatest_lower_bound(X_243,X_244)),
inference(subst,[],[refute_0_1601:[bind(X,$fot(X_243)),bind(Y,$fot(X_244)),bind(X_104,$fot(multiply(X_243,X_67)))]]) ).
cnf(refute_0_3401,plain,
multiply(X_243,greatest_lower_bound(X_67,identity)) = greatest_lower_bound(X_243,multiply(X_243,X_67)),
inference(subst,[],[refute_0_34:[bind(X_66,$fot(X_243))]]) ).
cnf(refute_0_3402,plain,
( multiply(X_243,greatest_lower_bound(X_67,identity)) != greatest_lower_bound(X_243,multiply(X_243,X_67))
| greatest_lower_bound(X_243,multiply(X_243,X_67)) = multiply(X_243,greatest_lower_bound(X_67,identity)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(X_243,greatest_lower_bound(X_67,identity)))),bind(Y0,$fot(greatest_lower_bound(X_243,multiply(X_243,X_67))))]]) ).
cnf(refute_0_3403,plain,
greatest_lower_bound(X_243,multiply(X_243,X_67)) = multiply(X_243,greatest_lower_bound(X_67,identity)),
inference(resolve,[$cnf( $equal(multiply(X_243,greatest_lower_bound(X_67,identity)),greatest_lower_bound(X_243,multiply(X_243,X_67))) )],[refute_0_3401,refute_0_3402]) ).
cnf(refute_0_3404,plain,
( greatest_lower_bound(X_243,multiply(X_243,X_67)) != multiply(X_243,greatest_lower_bound(X_67,identity))
| greatest_lower_bound(X_244,greatest_lower_bound(X_243,multiply(X_243,X_67))) != greatest_lower_bound(multiply(X_243,X_67),greatest_lower_bound(X_243,X_244))
| greatest_lower_bound(X_244,multiply(X_243,greatest_lower_bound(X_67,identity))) = greatest_lower_bound(multiply(X_243,X_67),greatest_lower_bound(X_243,X_244)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_244,greatest_lower_bound(X_243,multiply(X_243,X_67))),greatest_lower_bound(multiply(X_243,X_67),greatest_lower_bound(X_243,X_244))) ),[0,1],$fot(multiply(X_243,greatest_lower_bound(X_67,identity)))]]) ).
cnf(refute_0_3405,plain,
( greatest_lower_bound(X_244,greatest_lower_bound(X_243,multiply(X_243,X_67))) != greatest_lower_bound(multiply(X_243,X_67),greatest_lower_bound(X_243,X_244))
| greatest_lower_bound(X_244,multiply(X_243,greatest_lower_bound(X_67,identity))) = greatest_lower_bound(multiply(X_243,X_67),greatest_lower_bound(X_243,X_244)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_243,multiply(X_243,X_67)),multiply(X_243,greatest_lower_bound(X_67,identity))) )],[refute_0_3403,refute_0_3404]) ).
cnf(refute_0_3406,plain,
greatest_lower_bound(X_244,multiply(X_243,greatest_lower_bound(X_67,identity))) = greatest_lower_bound(multiply(X_243,X_67),greatest_lower_bound(X_243,X_244)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_244,greatest_lower_bound(X_243,multiply(X_243,X_67))),greatest_lower_bound(multiply(X_243,X_67),greatest_lower_bound(X_243,X_244))) )],[refute_0_3400,refute_0_3405]) ).
cnf(refute_0_3407,plain,
greatest_lower_bound(multiply(X_243,X_67),greatest_lower_bound(X_243,X_244)) = greatest_lower_bound(X_243,greatest_lower_bound(multiply(X_243,X_67),X_244)),
inference(subst,[],[refute_0_1644:[bind(X,$fot(X_243)),bind(X_43,$fot(multiply(X_243,X_67))),bind(X_44,$fot(X_244))]]) ).
cnf(refute_0_3408,plain,
( greatest_lower_bound(X_244,multiply(X_243,greatest_lower_bound(X_67,identity))) != greatest_lower_bound(multiply(X_243,X_67),greatest_lower_bound(X_243,X_244))
| greatest_lower_bound(multiply(X_243,X_67),greatest_lower_bound(X_243,X_244)) != greatest_lower_bound(X_243,greatest_lower_bound(multiply(X_243,X_67),X_244))
| greatest_lower_bound(X_244,multiply(X_243,greatest_lower_bound(X_67,identity))) = greatest_lower_bound(X_243,greatest_lower_bound(multiply(X_243,X_67),X_244)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(X_244,multiply(X_243,greatest_lower_bound(X_67,identity))),greatest_lower_bound(X_243,greatest_lower_bound(multiply(X_243,X_67),X_244))) ),[0],$fot(greatest_lower_bound(multiply(X_243,X_67),greatest_lower_bound(X_243,X_244)))]]) ).
cnf(refute_0_3409,plain,
( greatest_lower_bound(X_244,multiply(X_243,greatest_lower_bound(X_67,identity))) != greatest_lower_bound(multiply(X_243,X_67),greatest_lower_bound(X_243,X_244))
| greatest_lower_bound(X_244,multiply(X_243,greatest_lower_bound(X_67,identity))) = greatest_lower_bound(X_243,greatest_lower_bound(multiply(X_243,X_67),X_244)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_243,X_67),greatest_lower_bound(X_243,X_244)),greatest_lower_bound(X_243,greatest_lower_bound(multiply(X_243,X_67),X_244))) )],[refute_0_3407,refute_0_3408]) ).
cnf(refute_0_3410,plain,
greatest_lower_bound(X_244,multiply(X_243,greatest_lower_bound(X_67,identity))) = greatest_lower_bound(X_243,greatest_lower_bound(multiply(X_243,X_67),X_244)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_244,multiply(X_243,greatest_lower_bound(X_67,identity))),greatest_lower_bound(multiply(X_243,X_67),greatest_lower_bound(X_243,X_244))) )],[refute_0_3406,refute_0_3409]) ).
cnf(refute_0_3411,plain,
greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(least_upper_bound(X_15,identity),identity))) = greatest_lower_bound(identity,greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity)))),
inference(subst,[],[refute_0_3410:[bind(X_243,$fot(identity)),bind(X_244,$fot(inverse(least_upper_bound(X_15,identity)))),bind(X_67,$fot(least_upper_bound(X_15,identity)))]]) ).
cnf(refute_0_3412,plain,
( greatest_lower_bound(identity,greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity)))) != greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))
| greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(least_upper_bound(X_15,identity),identity))) != greatest_lower_bound(identity,greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity))))
| greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(least_upper_bound(X_15,identity),identity))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(least_upper_bound(X_15,identity),identity))))),bind(Y0,$fot(greatest_lower_bound(identity,greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity)))))),bind(Z0,$fot(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))))]]) ).
cnf(refute_0_3413,plain,
( greatest_lower_bound(identity,greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity)))) != greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))
| greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(least_upper_bound(X_15,identity),identity))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(least_upper_bound(X_15,identity),identity))),greatest_lower_bound(identity,greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity))))) )],[refute_0_3411,refute_0_3412]) ).
cnf(refute_0_3414,plain,
greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(least_upper_bound(X_15,identity),identity))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(multiply(identity,least_upper_bound(X_15,identity)),inverse(least_upper_bound(X_15,identity)))),greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))) )],[refute_0_3399,refute_0_3413]) ).
cnf(refute_0_3415,plain,
greatest_lower_bound(X_244,greatest_lower_bound(multiply(X,Y),multiply(X,Z))) = greatest_lower_bound(multiply(X,Z),greatest_lower_bound(multiply(X,Y),X_244)),
inference(subst,[],[refute_0_1601:[bind(X,$fot(multiply(X,Y))),bind(Y,$fot(X_244)),bind(X_104,$fot(multiply(X,Z)))]]) ).
cnf(refute_0_3416,plain,
( greatest_lower_bound(X_244,greatest_lower_bound(multiply(X,Y),multiply(X,Z))) != greatest_lower_bound(multiply(X,Z),greatest_lower_bound(multiply(X,Y),X_244))
| greatest_lower_bound(multiply(X,Y),multiply(X,Z)) != multiply(X,greatest_lower_bound(Y,Z))
| greatest_lower_bound(X_244,multiply(X,greatest_lower_bound(Y,Z))) = greatest_lower_bound(multiply(X,Z),greatest_lower_bound(multiply(X,Y),X_244)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_244,greatest_lower_bound(multiply(X,Y),multiply(X,Z))),greatest_lower_bound(multiply(X,Z),greatest_lower_bound(multiply(X,Y),X_244))) ),[0,1],$fot(multiply(X,greatest_lower_bound(Y,Z)))]]) ).
cnf(refute_0_3417,plain,
( greatest_lower_bound(X_244,greatest_lower_bound(multiply(X,Y),multiply(X,Z))) != greatest_lower_bound(multiply(X,Z),greatest_lower_bound(multiply(X,Y),X_244))
| greatest_lower_bound(X_244,multiply(X,greatest_lower_bound(Y,Z))) = greatest_lower_bound(multiply(X,Z),greatest_lower_bound(multiply(X,Y),X_244)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X,Y),multiply(X,Z)),multiply(X,greatest_lower_bound(Y,Z))) )],[refute_0_244,refute_0_3416]) ).
cnf(refute_0_3418,plain,
greatest_lower_bound(X_244,multiply(X,greatest_lower_bound(Y,Z))) = greatest_lower_bound(multiply(X,Z),greatest_lower_bound(multiply(X,Y),X_244)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_244,greatest_lower_bound(multiply(X,Y),multiply(X,Z))),greatest_lower_bound(multiply(X,Z),greatest_lower_bound(multiply(X,Y),X_244))) )],[refute_0_3415,refute_0_3417]) ).
cnf(refute_0_3419,plain,
greatest_lower_bound(multiply(X,Z),greatest_lower_bound(multiply(X,Y),X_244)) = greatest_lower_bound(multiply(X,greatest_lower_bound(Z,Y)),X_244),
inference(subst,[],[refute_0_1897:[bind(Z,$fot(X_244)),bind(X_66,$fot(X)),bind(X_67,$fot(Z)),bind(X_68,$fot(Y))]]) ).
cnf(refute_0_3420,plain,
( greatest_lower_bound(X_244,multiply(X,greatest_lower_bound(Y,Z))) != greatest_lower_bound(multiply(X,Z),greatest_lower_bound(multiply(X,Y),X_244))
| greatest_lower_bound(multiply(X,Z),greatest_lower_bound(multiply(X,Y),X_244)) != greatest_lower_bound(multiply(X,greatest_lower_bound(Z,Y)),X_244)
| greatest_lower_bound(X_244,multiply(X,greatest_lower_bound(Y,Z))) = greatest_lower_bound(multiply(X,greatest_lower_bound(Z,Y)),X_244) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(X_244,multiply(X,greatest_lower_bound(Y,Z))),greatest_lower_bound(multiply(X,greatest_lower_bound(Z,Y)),X_244)) ),[0],$fot(greatest_lower_bound(multiply(X,Z),greatest_lower_bound(multiply(X,Y),X_244)))]]) ).
cnf(refute_0_3421,plain,
( greatest_lower_bound(X_244,multiply(X,greatest_lower_bound(Y,Z))) != greatest_lower_bound(multiply(X,Z),greatest_lower_bound(multiply(X,Y),X_244))
| greatest_lower_bound(X_244,multiply(X,greatest_lower_bound(Y,Z))) = greatest_lower_bound(multiply(X,greatest_lower_bound(Z,Y)),X_244) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X,Z),greatest_lower_bound(multiply(X,Y),X_244)),greatest_lower_bound(multiply(X,greatest_lower_bound(Z,Y)),X_244)) )],[refute_0_3419,refute_0_3420]) ).
cnf(refute_0_3422,plain,
greatest_lower_bound(X_244,multiply(X,greatest_lower_bound(Y,Z))) = greatest_lower_bound(multiply(X,greatest_lower_bound(Z,Y)),X_244),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_244,multiply(X,greatest_lower_bound(Y,Z))),greatest_lower_bound(multiply(X,Z),greatest_lower_bound(multiply(X,Y),X_244))) )],[refute_0_3418,refute_0_3421]) ).
cnf(refute_0_3423,plain,
( greatest_lower_bound(X_244,multiply(X,greatest_lower_bound(Y,Z))) != greatest_lower_bound(multiply(X,greatest_lower_bound(Z,Y)),X_244)
| greatest_lower_bound(multiply(X,greatest_lower_bound(Z,Y)),X_244) = greatest_lower_bound(X_244,multiply(X,greatest_lower_bound(Y,Z))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X_244,multiply(X,greatest_lower_bound(Y,Z))))),bind(Y0,$fot(greatest_lower_bound(multiply(X,greatest_lower_bound(Z,Y)),X_244)))]]) ).
cnf(refute_0_3424,plain,
greatest_lower_bound(multiply(X,greatest_lower_bound(Z,Y)),X_244) = greatest_lower_bound(X_244,multiply(X,greatest_lower_bound(Y,Z))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_244,multiply(X,greatest_lower_bound(Y,Z))),greatest_lower_bound(multiply(X,greatest_lower_bound(Z,Y)),X_244)) )],[refute_0_3422,refute_0_3423]) ).
cnf(refute_0_3425,plain,
greatest_lower_bound(multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))),inverse(least_upper_bound(X_15,identity))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(least_upper_bound(X_15,identity),identity))),
inference(subst,[],[refute_0_3424:[bind(X,$fot(identity)),bind(Y,$fot(least_upper_bound(X_15,identity))),bind(Z,$fot(identity)),bind(X_244,$fot(inverse(least_upper_bound(X_15,identity))))]]) ).
cnf(refute_0_3426,plain,
( greatest_lower_bound(multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))),inverse(least_upper_bound(X_15,identity))) != greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(least_upper_bound(X_15,identity),identity)))
| greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(least_upper_bound(X_15,identity),identity))) != greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))
| greatest_lower_bound(multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))),inverse(least_upper_bound(X_15,identity))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))),inverse(least_upper_bound(X_15,identity))))),bind(Y0,$fot(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(least_upper_bound(X_15,identity),identity))))),bind(Z0,$fot(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))))]]) ).
cnf(refute_0_3427,plain,
( greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(least_upper_bound(X_15,identity),identity))) != greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))
| greatest_lower_bound(multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))),inverse(least_upper_bound(X_15,identity))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))),inverse(least_upper_bound(X_15,identity))),greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(least_upper_bound(X_15,identity),identity)))) )],[refute_0_3425,refute_0_3426]) ).
cnf(refute_0_3428,plain,
greatest_lower_bound(multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))),inverse(least_upper_bound(X_15,identity))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(least_upper_bound(X_15,identity),identity))),greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))) )],[refute_0_3414,refute_0_3427]) ).
cnf(refute_0_3429,plain,
greatest_lower_bound(X,greatest_lower_bound(identity,inverse(least_upper_bound(X_164,identity)))) = greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_164,identity)),X)),
inference(subst,[],[refute_0_1281:[bind(X_43,$fot(identity)),bind(X_44,$fot(inverse(least_upper_bound(X_164,identity))))]]) ).
cnf(refute_0_3430,plain,
( greatest_lower_bound(X,greatest_lower_bound(identity,inverse(least_upper_bound(X_164,identity)))) != greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_164,identity)),X))
| greatest_lower_bound(identity,inverse(least_upper_bound(X_164,identity))) != inverse(least_upper_bound(X_164,identity))
| greatest_lower_bound(X,inverse(least_upper_bound(X_164,identity))) = greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_164,identity)),X)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(identity,inverse(least_upper_bound(X_164,identity)))),greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_164,identity)),X))) ),[0,1],$fot(inverse(least_upper_bound(X_164,identity)))]]) ).
cnf(refute_0_3431,plain,
( greatest_lower_bound(X,greatest_lower_bound(identity,inverse(least_upper_bound(X_164,identity)))) != greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_164,identity)),X))
| greatest_lower_bound(X,inverse(least_upper_bound(X_164,identity))) = greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_164,identity)),X)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(least_upper_bound(X_164,identity))),inverse(least_upper_bound(X_164,identity))) )],[refute_0_3392,refute_0_3430]) ).
cnf(refute_0_3432,plain,
greatest_lower_bound(X,inverse(least_upper_bound(X_164,identity))) = greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_164,identity)),X)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,greatest_lower_bound(identity,inverse(least_upper_bound(X_164,identity)))),greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_164,identity)),X))) )],[refute_0_3429,refute_0_3431]) ).
cnf(refute_0_3433,plain,
( greatest_lower_bound(X,inverse(least_upper_bound(X_164,identity))) != greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_164,identity)),X))
| greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_164,identity)),X)) = greatest_lower_bound(X,inverse(least_upper_bound(X_164,identity))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(X,inverse(least_upper_bound(X_164,identity))))),bind(Y0,$fot(greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_164,identity)),X))))]]) ).
cnf(refute_0_3434,plain,
greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_164,identity)),X)) = greatest_lower_bound(X,inverse(least_upper_bound(X_164,identity))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,inverse(least_upper_bound(X_164,identity))),greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_164,identity)),X))) )],[refute_0_3432,refute_0_3433]) ).
cnf(refute_0_3435,plain,
greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))) = greatest_lower_bound(multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))),inverse(least_upper_bound(X_15,identity))),
inference(subst,[],[refute_0_3434:[bind(X,$fot(multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))),bind(X_164,$fot(X_15))]]) ).
cnf(refute_0_3436,plain,
( greatest_lower_bound(multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))),inverse(least_upper_bound(X_15,identity))) != greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))
| greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))) != greatest_lower_bound(multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))),inverse(least_upper_bound(X_15,identity)))
| greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))))),bind(Y0,$fot(greatest_lower_bound(multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))),inverse(least_upper_bound(X_15,identity))))),bind(Z0,$fot(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))))]]) ).
cnf(refute_0_3437,plain,
( greatest_lower_bound(multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))),inverse(least_upper_bound(X_15,identity))) != greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))
| greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))),greatest_lower_bound(multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))),inverse(least_upper_bound(X_15,identity)))) )],[refute_0_3435,refute_0_3436]) ).
cnf(refute_0_3438,plain,
greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))),inverse(least_upper_bound(X_15,identity))),greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))) )],[refute_0_3428,refute_0_3437]) ).
cnf(refute_0_3439,plain,
( greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))) != greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))
| greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))) != greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity)))
| greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))) = greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))))),bind(Y0,$fot(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))))),bind(Z0,$fot(greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity)))))]]) ).
cnf(refute_0_3440,plain,
( greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))) != greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity)))
| greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))) = greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))),greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity)))) )],[refute_0_3438,refute_0_3439]) ).
cnf(refute_0_3441,plain,
greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))) = greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,least_upper_bound(X_15,identity))),greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity)))) )],[refute_0_3387,refute_0_3440]) ).
cnf(refute_0_3442,plain,
( greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))) != greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity)))
| inverse(least_upper_bound(X_15,identity)) != greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity)))))
| inverse(least_upper_bound(X_15,identity)) = greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity)))))) ),[1],$fot(greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))))]]) ).
cnf(refute_0_3443,plain,
( inverse(least_upper_bound(X_15,identity)) != greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity)))))
| inverse(least_upper_bound(X_15,identity)) = greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity))))),greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity)))) )],[refute_0_3441,refute_0_3442]) ).
cnf(refute_0_3444,plain,
( multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))) != greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity)))))
| inverse(least_upper_bound(X_15,identity)) = greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))) ),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity)))))) )],[refute_0_3366,refute_0_3443]) ).
cnf(refute_0_3445,plain,
inverse(least_upper_bound(X_15,identity)) = greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(identity,least_upper_bound(X_15,identity))),greatest_lower_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),multiply(identity,greatest_lower_bound(identity,least_upper_bound(X_15,identity)))))) )],[refute_0_3330,refute_0_3444]) ).
cnf(refute_0_3446,plain,
( inverse(least_upper_bound(X_15,identity)) != greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity)))
| greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))) = inverse(least_upper_bound(X_15,identity)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(least_upper_bound(X_15,identity)))),bind(Y0,$fot(greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity)))))]]) ).
cnf(refute_0_3447,plain,
greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))) = inverse(least_upper_bound(X_15,identity)),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(X_15,identity)),greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity)))) )],[refute_0_3445,refute_0_3446]) ).
cnf(refute_0_3448,plain,
( greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))) != inverse(least_upper_bound(X_15,identity))
| least_upper_bound(least_upper_bound(identity,X_15),least_upper_bound(greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))),X_259)) != least_upper_bound(least_upper_bound(identity,X_15),X_259)
| least_upper_bound(least_upper_bound(identity,X_15),least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259)) = least_upper_bound(least_upper_bound(identity,X_15),X_259) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(least_upper_bound(identity,X_15),least_upper_bound(greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))),X_259)),least_upper_bound(least_upper_bound(identity,X_15),X_259)) ),[0,1,0],$fot(inverse(least_upper_bound(X_15,identity)))]]) ).
cnf(refute_0_3449,plain,
( least_upper_bound(least_upper_bound(identity,X_15),least_upper_bound(greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))),X_259)) != least_upper_bound(least_upper_bound(identity,X_15),X_259)
| least_upper_bound(least_upper_bound(identity,X_15),least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259)) = least_upper_bound(least_upper_bound(identity,X_15),X_259) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))),inverse(least_upper_bound(X_15,identity))) )],[refute_0_3447,refute_0_3448]) ).
cnf(refute_0_3450,plain,
least_upper_bound(least_upper_bound(identity,X_15),least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259)) = least_upper_bound(least_upper_bound(identity,X_15),X_259),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(identity,X_15),least_upper_bound(greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))),X_259)),least_upper_bound(least_upper_bound(identity,X_15),X_259)) )],[refute_0_3303,refute_0_3449]) ).
cnf(refute_0_3451,plain,
least_upper_bound(least_upper_bound(identity,X_15),least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259)) = least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259))),
inference(subst,[],[refute_0_434:[bind(X,$fot(identity)),bind(Y,$fot(X_15)),bind(Z,$fot(least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259)))]]) ).
cnf(refute_0_3452,plain,
( least_upper_bound(least_upper_bound(identity,X_15),least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259)) != least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259)))
| least_upper_bound(least_upper_bound(identity,X_15),least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259)) != least_upper_bound(least_upper_bound(identity,X_15),X_259)
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259))) = least_upper_bound(least_upper_bound(identity,X_15),X_259) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(least_upper_bound(identity,X_15),least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259)),least_upper_bound(least_upper_bound(identity,X_15),X_259)) ),[0],$fot(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259))))]]) ).
cnf(refute_0_3453,plain,
( least_upper_bound(least_upper_bound(identity,X_15),least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259)) != least_upper_bound(least_upper_bound(identity,X_15),X_259)
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259))) = least_upper_bound(least_upper_bound(identity,X_15),X_259) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(identity,X_15),least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259)),least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259)))) )],[refute_0_3451,refute_0_3452]) ).
cnf(refute_0_3454,plain,
least_upper_bound(least_upper_bound(identity,X_15),X_259) = least_upper_bound(identity,least_upper_bound(X_15,X_259)),
inference(subst,[],[refute_0_434:[bind(X,$fot(identity)),bind(Y,$fot(X_15)),bind(Z,$fot(X_259))]]) ).
cnf(refute_0_3455,plain,
( least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259))) != least_upper_bound(least_upper_bound(identity,X_15),X_259)
| least_upper_bound(least_upper_bound(identity,X_15),X_259) != least_upper_bound(identity,least_upper_bound(X_15,X_259))
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259))) = least_upper_bound(identity,least_upper_bound(X_15,X_259)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259))),least_upper_bound(identity,least_upper_bound(X_15,X_259))) ),[0],$fot(least_upper_bound(least_upper_bound(identity,X_15),X_259))]]) ).
cnf(refute_0_3456,plain,
( least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259))) != least_upper_bound(least_upper_bound(identity,X_15),X_259)
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259))) = least_upper_bound(identity,least_upper_bound(X_15,X_259)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(identity,X_15),X_259),least_upper_bound(identity,least_upper_bound(X_15,X_259))) )],[refute_0_3454,refute_0_3455]) ).
cnf(refute_0_3457,plain,
( least_upper_bound(least_upper_bound(identity,X_15),least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259)) != least_upper_bound(least_upper_bound(identity,X_15),X_259)
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259))) = least_upper_bound(identity,least_upper_bound(X_15,X_259)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259))),least_upper_bound(least_upper_bound(identity,X_15),X_259)) )],[refute_0_3453,refute_0_3456]) ).
cnf(refute_0_3458,plain,
least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259))) = least_upper_bound(identity,least_upper_bound(X_15,X_259)),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(identity,X_15),least_upper_bound(inverse(least_upper_bound(X_15,identity)),X_259)),least_upper_bound(least_upper_bound(identity,X_15),X_259)) )],[refute_0_3450,refute_0_3457]) ).
cnf(refute_0_3459,plain,
least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))) = least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437)))),
inference(subst,[],[refute_0_3458:[bind(X_259,$fot(inverse(greatest_lower_bound(identity,X_437))))]]) ).
cnf(refute_0_3460,plain,
least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))) = least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15),
inference(subst,[],[refute_0_2397:[bind(X_218,$fot(X_437)),bind(X_315,$fot(X_15))]]) ).
cnf(refute_0_3461,plain,
( least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))) != least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15)
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))) != least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))))
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))),least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))))) ),[1,1],$fot(least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15))]]) ).
cnf(refute_0_3462,plain,
( least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))) != least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))))
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))),least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15)) )],[refute_0_3460,refute_0_3461]) ).
cnf(refute_0_3463,plain,
least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15)),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))),least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))))) )],[refute_0_3459,refute_0_3462]) ).
cnf(refute_0_3464,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_239))))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity)),
inference(subst,[],[refute_0_2185:[bind(X_11,$fot(inverse(greatest_lower_bound(identity,X_239)))),bind(X_37,$fot(identity))]]) ).
cnf(refute_0_3465,plain,
( least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_239))) != inverse(greatest_lower_bound(identity,X_239))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_239))))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239)))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_239))))),least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity))) ),[0,1,1],$fot(inverse(greatest_lower_bound(identity,X_239)))]]) ).
cnf(refute_0_3466,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_239))))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239)))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_239))),inverse(greatest_lower_bound(identity,X_239))) )],[refute_0_2411,refute_0_3465]) ).
cnf(refute_0_3467,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239)))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity)),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,least_upper_bound(identity,inverse(greatest_lower_bound(identity,X_239))))),least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity))) )],[refute_0_3464,refute_0_3466]) ).
cnf(refute_0_3468,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239)))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_36),
inference(subst,[],[refute_0_438:[bind(X_11,$fot(inverse(greatest_lower_bound(identity,X_239)))),bind(X_15,$fot(X_36))]]) ).
cnf(refute_0_3469,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239)))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_36)
| least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239)))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_36) = least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239)))),least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity))) ),[0],$fot(least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_36))]]) ).
cnf(refute_0_3470,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239)))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_36) = least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239)))),least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_36)) )],[refute_0_3468,refute_0_3469]) ).
cnf(refute_0_3471,plain,
least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))) = least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_232,X_11))),
inference(subst,[],[refute_0_2185:[bind(X_37,$fot(least_upper_bound(X_232,X_11)))]]) ).
cnf(refute_0_3472,plain,
least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_232,X_11))) = least_upper_bound(X_11,least_upper_bound(X_36,X_232)),
inference(subst,[],[refute_0_2185:[bind(X_37,$fot(X_232))]]) ).
cnf(refute_0_3473,plain,
( least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_232,X_11))) != least_upper_bound(X_11,least_upper_bound(X_36,X_232))
| least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))) != least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_232,X_11)))
| least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))) = least_upper_bound(X_11,least_upper_bound(X_36,X_232)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))),least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_232,X_11)))) ),[1],$fot(least_upper_bound(X_11,least_upper_bound(X_36,X_232)))]]) ).
cnf(refute_0_3474,plain,
( least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))) != least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_232,X_11)))
| least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))) = least_upper_bound(X_11,least_upper_bound(X_36,X_232)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_232,X_11))),least_upper_bound(X_11,least_upper_bound(X_36,X_232))) )],[refute_0_3472,refute_0_3473]) ).
cnf(refute_0_3475,plain,
least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))) = least_upper_bound(X_11,least_upper_bound(X_36,X_232)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))),least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_232,X_11)))) )],[refute_0_3471,refute_0_3474]) ).
cnf(refute_0_3476,plain,
least_upper_bound(X_11,X_11) = X_11,
inference(subst,[],[idempotence_of_lub:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_3477,plain,
least_upper_bound(X_36,least_upper_bound(X_11,X_11)) = least_upper_bound(X_36,least_upper_bound(X_11,X_11)),
introduced(tautology,[refl,[$fot(least_upper_bound(X_36,least_upper_bound(X_11,X_11)))]]) ).
cnf(refute_0_3478,plain,
( least_upper_bound(X_11,X_11) != X_11
| least_upper_bound(X_36,least_upper_bound(X_11,X_11)) != least_upper_bound(X_36,least_upper_bound(X_11,X_11))
| least_upper_bound(X_36,least_upper_bound(X_11,X_11)) = least_upper_bound(X_36,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(X_11,X_11)),least_upper_bound(X_36,least_upper_bound(X_11,X_11))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_3479,plain,
( least_upper_bound(X_11,X_11) != X_11
| least_upper_bound(X_36,least_upper_bound(X_11,X_11)) = least_upper_bound(X_36,X_11) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(X_11,X_11)),least_upper_bound(X_36,least_upper_bound(X_11,X_11))) )],[refute_0_3477,refute_0_3478]) ).
cnf(refute_0_3480,plain,
least_upper_bound(X_36,least_upper_bound(X_11,X_11)) = least_upper_bound(X_36,X_11),
inference(resolve,[$cnf( $equal(least_upper_bound(X_11,X_11),X_11) )],[refute_0_3476,refute_0_3479]) ).
cnf(refute_0_3481,plain,
least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11))) = least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11))),
introduced(tautology,[refl,[$fot(least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11))))]]) ).
cnf(refute_0_3482,plain,
( least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11))) != least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11)))
| least_upper_bound(X_36,least_upper_bound(X_11,X_11)) != least_upper_bound(X_36,X_11)
| least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11))) = least_upper_bound(X_232,least_upper_bound(X_36,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11))),least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11)))) ),[1,1],$fot(least_upper_bound(X_36,X_11))]]) ).
cnf(refute_0_3483,plain,
( least_upper_bound(X_36,least_upper_bound(X_11,X_11)) != least_upper_bound(X_36,X_11)
| least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11))) = least_upper_bound(X_232,least_upper_bound(X_36,X_11)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11))),least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11)))) )],[refute_0_3481,refute_0_3482]) ).
cnf(refute_0_3484,plain,
least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11))) = least_upper_bound(X_232,least_upper_bound(X_36,X_11)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(X_11,X_11)),least_upper_bound(X_36,X_11)) )],[refute_0_3480,refute_0_3483]) ).
cnf(refute_0_3485,plain,
least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(Y,X_101)))) = least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_102,least_upper_bound(Y,X_101))),
inference(subst,[],[associativity_of_lub:[bind(Z,$fot(least_upper_bound(X_102,least_upper_bound(Y,X_101))))]]) ).
cnf(refute_0_3486,plain,
least_upper_bound(X_102,least_upper_bound(Y,X_101)) = least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(Y,X_101))),
inference(subst,[],[refute_0_1047:[bind(X_15,$fot(X_101)),bind(X_36,$fot(X_102)),bind(X_37,$fot(Y))]]) ).
cnf(refute_0_3487,plain,
( least_upper_bound(X_102,least_upper_bound(Y,X_101)) != least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(Y,X_101)))
| least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(Y,X_101))) = least_upper_bound(X_102,least_upper_bound(Y,X_101)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_102,least_upper_bound(Y,X_101)))),bind(Y0,$fot(least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(Y,X_101)))))]]) ).
cnf(refute_0_3488,plain,
least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(Y,X_101))) = least_upper_bound(X_102,least_upper_bound(Y,X_101)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_102,least_upper_bound(Y,X_101)),least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(Y,X_101)))) )],[refute_0_3486,refute_0_3487]) ).
cnf(refute_0_3489,plain,
( least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(Y,X_101)))) != least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_102,least_upper_bound(Y,X_101)))
| least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(Y,X_101))) != least_upper_bound(X_102,least_upper_bound(Y,X_101))
| least_upper_bound(X,least_upper_bound(X_102,least_upper_bound(Y,X_101))) = least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_102,least_upper_bound(Y,X_101))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(Y,X_101)))),least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_102,least_upper_bound(Y,X_101)))) ),[0,1],$fot(least_upper_bound(X_102,least_upper_bound(Y,X_101)))]]) ).
cnf(refute_0_3490,plain,
( least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(Y,X_101)))) != least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_102,least_upper_bound(Y,X_101)))
| least_upper_bound(X,least_upper_bound(X_102,least_upper_bound(Y,X_101))) = least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_102,least_upper_bound(Y,X_101))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(Y,X_101))),least_upper_bound(X_102,least_upper_bound(Y,X_101))) )],[refute_0_3488,refute_0_3489]) ).
cnf(refute_0_3491,plain,
least_upper_bound(X,least_upper_bound(X_102,least_upper_bound(Y,X_101))) = least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_102,least_upper_bound(Y,X_101))),
inference(resolve,[$cnf( $equal(least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(Y,X_101)))),least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_102,least_upper_bound(Y,X_101)))) )],[refute_0_3485,refute_0_3490]) ).
cnf(refute_0_3492,plain,
least_upper_bound(X,least_upper_bound(X_36,least_upper_bound(X_50,X_51))) = least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X)),
inference(subst,[],[refute_0_1038:[bind(X_37,$fot(least_upper_bound(X_50,X_51)))]]) ).
cnf(refute_0_3493,plain,
least_upper_bound(X_36,least_upper_bound(X_50,X_51)) = least_upper_bound(X_50,least_upper_bound(X_36,X_51)),
inference(subst,[],[refute_0_1065:[bind(X_15,$fot(X_36)),bind(X_36,$fot(X_50)),bind(X_38,$fot(X_51))]]) ).
cnf(refute_0_3494,plain,
( least_upper_bound(X,least_upper_bound(X_36,least_upper_bound(X_50,X_51))) != least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X))
| least_upper_bound(X_36,least_upper_bound(X_50,X_51)) != least_upper_bound(X_50,least_upper_bound(X_36,X_51))
| least_upper_bound(X,least_upper_bound(X_50,least_upper_bound(X_36,X_51))) = least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X,least_upper_bound(X_36,least_upper_bound(X_50,X_51))),least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X))) ),[0,1],$fot(least_upper_bound(X_50,least_upper_bound(X_36,X_51)))]]) ).
cnf(refute_0_3495,plain,
( least_upper_bound(X,least_upper_bound(X_36,least_upper_bound(X_50,X_51))) != least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X))
| least_upper_bound(X,least_upper_bound(X_50,least_upper_bound(X_36,X_51))) = least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(X_50,X_51)),least_upper_bound(X_50,least_upper_bound(X_36,X_51))) )],[refute_0_3493,refute_0_3494]) ).
cnf(refute_0_3496,plain,
least_upper_bound(X,least_upper_bound(X_50,least_upper_bound(X_36,X_51))) = least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X)),
inference(resolve,[$cnf( $equal(least_upper_bound(X,least_upper_bound(X_36,least_upper_bound(X_50,X_51))),least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X))) )],[refute_0_3492,refute_0_3495]) ).
cnf(refute_0_3497,plain,
least_upper_bound(least_upper_bound(X_50,X_51),X) = least_upper_bound(X_50,least_upper_bound(X_51,X)),
inference(subst,[],[refute_0_434:[bind(X,$fot(X_50)),bind(Y,$fot(X_51)),bind(Z,$fot(X))]]) ).
cnf(refute_0_3498,plain,
least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X)) = least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X)),
introduced(tautology,[refl,[$fot(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X)))]]) ).
cnf(refute_0_3499,plain,
( least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X)) != least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X))
| least_upper_bound(least_upper_bound(X_50,X_51),X) != least_upper_bound(X_50,least_upper_bound(X_51,X))
| least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X)) = least_upper_bound(X_36,least_upper_bound(X_50,least_upper_bound(X_51,X))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X)),least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X))) ),[1,1],$fot(least_upper_bound(X_50,least_upper_bound(X_51,X)))]]) ).
cnf(refute_0_3500,plain,
( least_upper_bound(least_upper_bound(X_50,X_51),X) != least_upper_bound(X_50,least_upper_bound(X_51,X))
| least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X)) = least_upper_bound(X_36,least_upper_bound(X_50,least_upper_bound(X_51,X))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X)),least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X))) )],[refute_0_3498,refute_0_3499]) ).
cnf(refute_0_3501,plain,
least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X)) = least_upper_bound(X_36,least_upper_bound(X_50,least_upper_bound(X_51,X))),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_50,X_51),X),least_upper_bound(X_50,least_upper_bound(X_51,X))) )],[refute_0_3497,refute_0_3500]) ).
cnf(refute_0_3502,plain,
( least_upper_bound(X,least_upper_bound(X_50,least_upper_bound(X_36,X_51))) != least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X))
| least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X)) != least_upper_bound(X_36,least_upper_bound(X_50,least_upper_bound(X_51,X)))
| least_upper_bound(X,least_upper_bound(X_50,least_upper_bound(X_36,X_51))) = least_upper_bound(X_36,least_upper_bound(X_50,least_upper_bound(X_51,X))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(X,least_upper_bound(X_50,least_upper_bound(X_36,X_51))),least_upper_bound(X_36,least_upper_bound(X_50,least_upper_bound(X_51,X)))) ),[0],$fot(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X)))]]) ).
cnf(refute_0_3503,plain,
( least_upper_bound(X,least_upper_bound(X_50,least_upper_bound(X_36,X_51))) != least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X))
| least_upper_bound(X,least_upper_bound(X_50,least_upper_bound(X_36,X_51))) = least_upper_bound(X_36,least_upper_bound(X_50,least_upper_bound(X_51,X))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X)),least_upper_bound(X_36,least_upper_bound(X_50,least_upper_bound(X_51,X)))) )],[refute_0_3501,refute_0_3502]) ).
cnf(refute_0_3504,plain,
least_upper_bound(X,least_upper_bound(X_50,least_upper_bound(X_36,X_51))) = least_upper_bound(X_36,least_upper_bound(X_50,least_upper_bound(X_51,X))),
inference(resolve,[$cnf( $equal(least_upper_bound(X,least_upper_bound(X_50,least_upper_bound(X_36,X_51))),least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_50,X_51),X))) )],[refute_0_3496,refute_0_3503]) ).
cnf(refute_0_3505,plain,
least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_102,least_upper_bound(Y,X_101))) = least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(X_101,least_upper_bound(X,Y)))),
inference(subst,[],[refute_0_3504:[bind(X,$fot(least_upper_bound(X,Y))),bind(X_36,$fot(Y)),bind(X_50,$fot(X_102)),bind(X_51,$fot(X_101))]]) ).
cnf(refute_0_3506,plain,
( least_upper_bound(X,least_upper_bound(X_102,least_upper_bound(Y,X_101))) != least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_102,least_upper_bound(Y,X_101)))
| least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_102,least_upper_bound(Y,X_101))) != least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(X_101,least_upper_bound(X,Y))))
| least_upper_bound(X,least_upper_bound(X_102,least_upper_bound(Y,X_101))) = least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(X_101,least_upper_bound(X,Y)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(X,least_upper_bound(X_102,least_upper_bound(Y,X_101))),least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(X_101,least_upper_bound(X,Y))))) ),[0],$fot(least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_102,least_upper_bound(Y,X_101))))]]) ).
cnf(refute_0_3507,plain,
( least_upper_bound(X,least_upper_bound(X_102,least_upper_bound(Y,X_101))) != least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_102,least_upper_bound(Y,X_101)))
| least_upper_bound(X,least_upper_bound(X_102,least_upper_bound(Y,X_101))) = least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(X_101,least_upper_bound(X,Y)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_102,least_upper_bound(Y,X_101))),least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(X_101,least_upper_bound(X,Y))))) )],[refute_0_3505,refute_0_3506]) ).
cnf(refute_0_3508,plain,
least_upper_bound(X,least_upper_bound(X_102,least_upper_bound(Y,X_101))) = least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(X_101,least_upper_bound(X,Y)))),
inference(resolve,[$cnf( $equal(least_upper_bound(X,least_upper_bound(X_102,least_upper_bound(Y,X_101))),least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_102,least_upper_bound(Y,X_101)))) )],[refute_0_3491,refute_0_3507]) ).
cnf(refute_0_3509,plain,
( least_upper_bound(X,least_upper_bound(X_102,least_upper_bound(Y,X_101))) != least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(X_101,least_upper_bound(X,Y))))
| least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(X_101,least_upper_bound(X,Y)))) = least_upper_bound(X,least_upper_bound(X_102,least_upper_bound(Y,X_101))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X,least_upper_bound(X_102,least_upper_bound(Y,X_101))))),bind(Y0,$fot(least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(X_101,least_upper_bound(X,Y))))))]]) ).
cnf(refute_0_3510,plain,
least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(X_101,least_upper_bound(X,Y)))) = least_upper_bound(X,least_upper_bound(X_102,least_upper_bound(Y,X_101))),
inference(resolve,[$cnf( $equal(least_upper_bound(X,least_upper_bound(X_102,least_upper_bound(Y,X_101))),least_upper_bound(Y,least_upper_bound(X_102,least_upper_bound(X_101,least_upper_bound(X,Y))))) )],[refute_0_3508,refute_0_3509]) ).
cnf(refute_0_3511,plain,
least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_11,least_upper_bound(X_232,X_11)))) = least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11))),
inference(subst,[],[refute_0_3510:[bind(X,$fot(X_232)),bind(Y,$fot(X_11)),bind(X_101,$fot(X_11)),bind(X_102,$fot(X_36))]]) ).
cnf(refute_0_3512,plain,
least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_171,X_173))) = least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_171,X_173)),
inference(subst,[],[associativity_of_lub:[bind(Z,$fot(least_upper_bound(X_171,X_173)))]]) ).
cnf(refute_0_3513,plain,
least_upper_bound(X_102,least_upper_bound(X_103,X_101)) = least_upper_bound(X_103,least_upper_bound(X_102,least_upper_bound(X_103,X_101))),
inference(subst,[],[refute_0_1047:[bind(X_15,$fot(X_101)),bind(X_36,$fot(X_102)),bind(X_37,$fot(X_103))]]) ).
cnf(refute_0_3514,plain,
least_upper_bound(X_101,X_103) = least_upper_bound(X_103,X_101),
inference(subst,[],[symmetry_of_lub:[bind(X,$fot(X_101)),bind(Y,$fot(X_103))]]) ).
cnf(refute_0_3515,plain,
( least_upper_bound(X_101,X_103) != least_upper_bound(X_103,X_101)
| least_upper_bound(X_103,X_101) = least_upper_bound(X_101,X_103) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_101,X_103))),bind(Y0,$fot(least_upper_bound(X_103,X_101)))]]) ).
cnf(refute_0_3516,plain,
least_upper_bound(X_103,X_101) = least_upper_bound(X_101,X_103),
inference(resolve,[$cnf( $equal(least_upper_bound(X_101,X_103),least_upper_bound(X_103,X_101)) )],[refute_0_3514,refute_0_3515]) ).
cnf(refute_0_3517,plain,
( least_upper_bound(X_102,least_upper_bound(X_103,X_101)) != least_upper_bound(X_103,least_upper_bound(X_102,least_upper_bound(X_103,X_101)))
| least_upper_bound(X_103,X_101) != least_upper_bound(X_101,X_103)
| least_upper_bound(X_102,least_upper_bound(X_101,X_103)) = least_upper_bound(X_103,least_upper_bound(X_102,least_upper_bound(X_103,X_101))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_102,least_upper_bound(X_103,X_101)),least_upper_bound(X_103,least_upper_bound(X_102,least_upper_bound(X_103,X_101)))) ),[0,1],$fot(least_upper_bound(X_101,X_103))]]) ).
cnf(refute_0_3518,plain,
( least_upper_bound(X_102,least_upper_bound(X_103,X_101)) != least_upper_bound(X_103,least_upper_bound(X_102,least_upper_bound(X_103,X_101)))
| least_upper_bound(X_102,least_upper_bound(X_101,X_103)) = least_upper_bound(X_103,least_upper_bound(X_102,least_upper_bound(X_103,X_101))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_103,X_101),least_upper_bound(X_101,X_103)) )],[refute_0_3516,refute_0_3517]) ).
cnf(refute_0_3519,plain,
least_upper_bound(X_102,least_upper_bound(X_101,X_103)) = least_upper_bound(X_103,least_upper_bound(X_102,least_upper_bound(X_103,X_101))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_102,least_upper_bound(X_103,X_101)),least_upper_bound(X_103,least_upper_bound(X_102,least_upper_bound(X_103,X_101)))) )],[refute_0_3513,refute_0_3518]) ).
cnf(refute_0_3520,plain,
least_upper_bound(X_103,least_upper_bound(X_102,least_upper_bound(X_103,X_101))) = least_upper_bound(X_102,least_upper_bound(X_103,X_101)),
inference(subst,[],[refute_0_1049:[bind(X_15,$fot(X_101)),bind(X_36,$fot(X_102)),bind(X_37,$fot(X_103))]]) ).
cnf(refute_0_3521,plain,
( least_upper_bound(X_102,least_upper_bound(X_101,X_103)) != least_upper_bound(X_103,least_upper_bound(X_102,least_upper_bound(X_103,X_101)))
| least_upper_bound(X_103,least_upper_bound(X_102,least_upper_bound(X_103,X_101))) != least_upper_bound(X_102,least_upper_bound(X_103,X_101))
| least_upper_bound(X_102,least_upper_bound(X_101,X_103)) = least_upper_bound(X_102,least_upper_bound(X_103,X_101)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(X_102,least_upper_bound(X_101,X_103)),least_upper_bound(X_102,least_upper_bound(X_103,X_101))) ),[0],$fot(least_upper_bound(X_103,least_upper_bound(X_102,least_upper_bound(X_103,X_101))))]]) ).
cnf(refute_0_3522,plain,
( least_upper_bound(X_102,least_upper_bound(X_101,X_103)) != least_upper_bound(X_103,least_upper_bound(X_102,least_upper_bound(X_103,X_101)))
| least_upper_bound(X_102,least_upper_bound(X_101,X_103)) = least_upper_bound(X_102,least_upper_bound(X_103,X_101)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_103,least_upper_bound(X_102,least_upper_bound(X_103,X_101))),least_upper_bound(X_102,least_upper_bound(X_103,X_101))) )],[refute_0_3520,refute_0_3521]) ).
cnf(refute_0_3523,plain,
least_upper_bound(X_102,least_upper_bound(X_101,X_103)) = least_upper_bound(X_102,least_upper_bound(X_103,X_101)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_102,least_upper_bound(X_101,X_103)),least_upper_bound(X_103,least_upper_bound(X_102,least_upper_bound(X_103,X_101)))) )],[refute_0_3519,refute_0_3522]) ).
cnf(refute_0_3524,plain,
least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_171,X_173)) = least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_173,X_171)),
inference(subst,[],[refute_0_3523:[bind(X_101,$fot(X_171)),bind(X_102,$fot(least_upper_bound(X,Y))),bind(X_103,$fot(X_173))]]) ).
cnf(refute_0_3525,plain,
( least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_171,X_173))) != least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_171,X_173))
| least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_171,X_173)) != least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_173,X_171))
| least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_171,X_173))) = least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_173,X_171)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_171,X_173))),least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_173,X_171))) ),[0],$fot(least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_171,X_173)))]]) ).
cnf(refute_0_3526,plain,
( least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_171,X_173))) != least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_171,X_173))
| least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_171,X_173))) = least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_173,X_171)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_171,X_173)),least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_173,X_171))) )],[refute_0_3524,refute_0_3525]) ).
cnf(refute_0_3527,plain,
least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_171,X_173))) = least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_173,X_171)),
inference(resolve,[$cnf( $equal(least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_171,X_173))),least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_171,X_173))) )],[refute_0_3512,refute_0_3526]) ).
cnf(refute_0_3528,plain,
least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_173,X_171)) = least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_173,X_171))),
inference(subst,[],[refute_0_434:[bind(Z,$fot(least_upper_bound(X_173,X_171)))]]) ).
cnf(refute_0_3529,plain,
( least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_171,X_173))) != least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_173,X_171))
| least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_173,X_171)) != least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_173,X_171)))
| least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_171,X_173))) = least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_173,X_171))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_171,X_173))),least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_173,X_171)))) ),[0],$fot(least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_173,X_171)))]]) ).
cnf(refute_0_3530,plain,
( least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_171,X_173))) != least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_173,X_171))
| least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_171,X_173))) = least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_173,X_171))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_173,X_171)),least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_173,X_171)))) )],[refute_0_3528,refute_0_3529]) ).
cnf(refute_0_3531,plain,
least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_171,X_173))) = least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_173,X_171))),
inference(resolve,[$cnf( $equal(least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_171,X_173))),least_upper_bound(least_upper_bound(X,Y),least_upper_bound(X_173,X_171))) )],[refute_0_3527,refute_0_3530]) ).
cnf(refute_0_3532,plain,
( least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_171,X_173))) != least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_173,X_171)))
| least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_173,X_171))) = least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_171,X_173))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_171,X_173))))),bind(Y0,$fot(least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_173,X_171)))))]]) ).
cnf(refute_0_3533,plain,
least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_173,X_171))) = least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_171,X_173))),
inference(resolve,[$cnf( $equal(least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_171,X_173))),least_upper_bound(X,least_upper_bound(Y,least_upper_bound(X_173,X_171)))) )],[refute_0_3531,refute_0_3532]) ).
cnf(refute_0_3534,plain,
least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))) = least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_11,least_upper_bound(X_232,X_11)))),
inference(subst,[],[refute_0_3533:[bind(X,$fot(X_11)),bind(Y,$fot(X_36)),bind(X_171,$fot(X_11)),bind(X_173,$fot(least_upper_bound(X_232,X_11)))]]) ).
cnf(refute_0_3535,plain,
( least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_11,least_upper_bound(X_232,X_11)))) != least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11)))
| least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))) != least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_11,least_upper_bound(X_232,X_11))))
| least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))) = least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))))),bind(Y0,$fot(least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_11,least_upper_bound(X_232,X_11)))))),bind(Z0,$fot(least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11)))))]]) ).
cnf(refute_0_3536,plain,
( least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_11,least_upper_bound(X_232,X_11)))) != least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11)))
| least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))) = least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))),least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_11,least_upper_bound(X_232,X_11))))) )],[refute_0_3534,refute_0_3535]) ).
cnf(refute_0_3537,plain,
least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))) = least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_11,least_upper_bound(X_232,X_11)))),least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11)))) )],[refute_0_3511,refute_0_3536]) ).
cnf(refute_0_3538,plain,
( least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))) != least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11)))
| least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11))) != least_upper_bound(X_232,least_upper_bound(X_36,X_11))
| least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))) = least_upper_bound(X_232,least_upper_bound(X_36,X_11)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))))),bind(Y0,$fot(least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11))))),bind(Z0,$fot(least_upper_bound(X_232,least_upper_bound(X_36,X_11))))]]) ).
cnf(refute_0_3539,plain,
( least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11))) != least_upper_bound(X_232,least_upper_bound(X_36,X_11))
| least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))) = least_upper_bound(X_232,least_upper_bound(X_36,X_11)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))),least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11)))) )],[refute_0_3537,refute_0_3538]) ).
cnf(refute_0_3540,plain,
least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))) = least_upper_bound(X_232,least_upper_bound(X_36,X_11)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_232,least_upper_bound(X_36,least_upper_bound(X_11,X_11))),least_upper_bound(X_232,least_upper_bound(X_36,X_11))) )],[refute_0_3484,refute_0_3539]) ).
cnf(refute_0_3541,plain,
( least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))) != least_upper_bound(X_11,least_upper_bound(X_36,X_232))
| least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))) != least_upper_bound(X_232,least_upper_bound(X_36,X_11))
| least_upper_bound(X_232,least_upper_bound(X_36,X_11)) = least_upper_bound(X_11,least_upper_bound(X_36,X_232)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))),least_upper_bound(X_11,least_upper_bound(X_36,X_232))) ),[0],$fot(least_upper_bound(X_232,least_upper_bound(X_36,X_11)))]]) ).
cnf(refute_0_3542,plain,
( least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))) != least_upper_bound(X_11,least_upper_bound(X_36,X_232))
| least_upper_bound(X_232,least_upper_bound(X_36,X_11)) = least_upper_bound(X_11,least_upper_bound(X_36,X_232)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))),least_upper_bound(X_232,least_upper_bound(X_36,X_11))) )],[refute_0_3540,refute_0_3541]) ).
cnf(refute_0_3543,plain,
least_upper_bound(X_232,least_upper_bound(X_36,X_11)) = least_upper_bound(X_11,least_upper_bound(X_36,X_232)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_232,X_11),X_11))),least_upper_bound(X_11,least_upper_bound(X_36,X_232))) )],[refute_0_3475,refute_0_3542]) ).
cnf(refute_0_3544,plain,
( least_upper_bound(X_232,least_upper_bound(X_36,X_11)) != least_upper_bound(X_11,least_upper_bound(X_36,X_232))
| least_upper_bound(X_11,least_upper_bound(X_36,X_232)) = least_upper_bound(X_232,least_upper_bound(X_36,X_11)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_232,least_upper_bound(X_36,X_11)))),bind(Y0,$fot(least_upper_bound(X_11,least_upper_bound(X_36,X_232))))]]) ).
cnf(refute_0_3545,plain,
least_upper_bound(X_11,least_upper_bound(X_36,X_232)) = least_upper_bound(X_232,least_upper_bound(X_36,X_11)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_232,least_upper_bound(X_36,X_11)),least_upper_bound(X_11,least_upper_bound(X_36,X_232))) )],[refute_0_3543,refute_0_3544]) ).
cnf(refute_0_3546,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity)) = least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239)))),
inference(subst,[],[refute_0_3545:[bind(X_11,$fot(inverse(greatest_lower_bound(identity,X_239)))),bind(X_232,$fot(identity))]]) ).
cnf(refute_0_3547,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_36) != least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity)) != least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239))))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_36) = least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_36),least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239))))) ),[0],$fot(least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity)))]]) ).
cnf(refute_0_3548,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_36) != least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_36) = least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity)),least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239))))) )],[refute_0_3546,refute_0_3547]) ).
cnf(refute_0_3549,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239)))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_36) = least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_36),least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity))) )],[refute_0_3470,refute_0_3548]) ).
cnf(refute_0_3550,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_36) = least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239)))),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239)))),least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),least_upper_bound(X_36,identity))) )],[refute_0_3467,refute_0_3549]) ).
cnf(refute_0_3551,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_36) != least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239))))
| least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239)))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_36) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_36))),bind(Y0,$fot(least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239))))))]]) ).
cnf(refute_0_3552,plain,
least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239)))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_36),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_239)),X_36),least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(identity,X_239))))) )],[refute_0_3550,refute_0_3551]) ).
cnf(refute_0_3553,plain,
least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437)))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15),
inference(subst,[],[refute_0_3552:[bind(X_239,$fot(X_437)),bind(X_36,$fot(X_15))]]) ).
cnf(refute_0_3554,plain,
( least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437)))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15)
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))) != least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))))
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))))),bind(Y0,$fot(least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437)))))),bind(Z0,$fot(least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15)))]]) ).
cnf(refute_0_3555,plain,
( least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437)))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15)
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))),least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))))) )],[refute_0_3459,refute_0_3554]) ).
cnf(refute_0_3556,plain,
least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437)))),least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15)) )],[refute_0_3553,refute_0_3555]) ).
cnf(refute_0_3557,plain,
( least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15))
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15)
| least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15))) ),[0],$fot(least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15))]]) ).
cnf(refute_0_3558,plain,
( least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15) = least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))),least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15)) )],[refute_0_3556,refute_0_3557]) ).
cnf(refute_0_3559,plain,
least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15)) = least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity))),
inference(subst,[],[refute_0_2480:[bind(X_240,$fot(X_437))]]) ).
cnf(refute_0_3560,plain,
( least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15)) != least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity)))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15) = least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15))) ),[1],$fot(least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity))))]]) ).
cnf(refute_0_3561,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15) = least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15)),least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity)))) )],[refute_0_3559,refute_0_3560]) ).
cnf(refute_0_3562,plain,
( least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15) = least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15))) )],[refute_0_3558,refute_0_3561]) ).
cnf(refute_0_3563,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15) = least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15))) )],[refute_0_3463,refute_0_3562]) ).
cnf(refute_0_3564,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15) != least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity)))
| least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15))),bind(Y0,$fot(least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity)))))]]) ).
cnf(refute_0_3565,plain,
least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15),least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity)))) )],[refute_0_3563,refute_0_3564]) ).
cnf(refute_0_3566,plain,
least_upper_bound(greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))),inverse(greatest_lower_bound(X_83,identity))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity)))),
inference(subst,[],[refute_0_3565:[bind(X_15,$fot(greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))),bind(X_437,$fot(X_83))]]) ).
cnf(refute_0_3567,plain,
least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))) = least_upper_bound(greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))),inverse(greatest_lower_bound(X_83,identity))),
inference(subst,[],[refute_0_2480:[bind(X_15,$fot(greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))),bind(X_240,$fot(X_83))]]) ).
cnf(refute_0_3568,plain,
( least_upper_bound(greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))),inverse(greatest_lower_bound(X_83,identity))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))) != least_upper_bound(greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))),inverse(greatest_lower_bound(X_83,identity)))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity)))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))))),bind(Y0,$fot(least_upper_bound(greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))),inverse(greatest_lower_bound(X_83,identity))))),bind(Z0,$fot(least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))))]]) ).
cnf(refute_0_3569,plain,
( least_upper_bound(greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))),inverse(greatest_lower_bound(X_83,identity))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))),least_upper_bound(greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))),inverse(greatest_lower_bound(X_83,identity)))) )],[refute_0_3567,refute_0_3568]) ).
cnf(refute_0_3570,plain,
least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity)))),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))),inverse(greatest_lower_bound(X_83,identity))),least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))) )],[refute_0_3566,refute_0_3569]) ).
cnf(refute_0_3571,plain,
( least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))) != least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity)))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity)))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))),least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity)))) ),[0],$fot(least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity)))))]]) ).
cnf(refute_0_3572,plain,
( least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))) != least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity)))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity)))) = least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))),least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))) )],[refute_0_3570,refute_0_3571]) ).
cnf(refute_0_3573,plain,
( least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity))) != inverse(greatest_lower_bound(X_83,identity))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity)))) != least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity)))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity)))) = inverse(greatest_lower_bound(X_83,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity)))),least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity)))) ),[1],$fot(inverse(greatest_lower_bound(X_83,identity)))]]) ).
cnf(refute_0_3574,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity)))) != least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity)))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity)))) = inverse(greatest_lower_bound(X_83,identity)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity))),inverse(greatest_lower_bound(X_83,identity))) )],[refute_0_2472,refute_0_3573]) ).
cnf(refute_0_3575,plain,
( least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))) != least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity)))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity)))) = inverse(greatest_lower_bound(X_83,identity)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity)))),least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity)))) )],[refute_0_3572,refute_0_3574]) ).
cnf(refute_0_3576,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity)))) = inverse(greatest_lower_bound(X_83,identity)),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_83,identity)),greatest_lower_bound(X_439,inverse(greatest_lower_bound(X_83,identity))))),least_upper_bound(identity,inverse(greatest_lower_bound(X_83,identity)))) )],[refute_0_3302,refute_0_3575]) ).
cnf(refute_0_3577,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_526,inverse(greatest_lower_bound(X_83,identity)))) = inverse(greatest_lower_bound(X_83,identity)),
inference(subst,[],[refute_0_3576:[bind(X_439,$fot(X_526))]]) ).
cnf(refute_0_3578,plain,
( least_upper_bound(X_526,least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_526,inverse(greatest_lower_bound(X_83,identity))))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),X_526)
| least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_526,inverse(greatest_lower_bound(X_83,identity)))) != inverse(greatest_lower_bound(X_83,identity))
| least_upper_bound(X_526,inverse(greatest_lower_bound(X_83,identity))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),X_526) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_526,least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_526,inverse(greatest_lower_bound(X_83,identity))))),least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),X_526)) ),[0,1],$fot(inverse(greatest_lower_bound(X_83,identity)))]]) ).
cnf(refute_0_3579,plain,
( least_upper_bound(X_526,least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_526,inverse(greatest_lower_bound(X_83,identity))))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),X_526)
| least_upper_bound(X_526,inverse(greatest_lower_bound(X_83,identity))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),X_526) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_526,inverse(greatest_lower_bound(X_83,identity)))),inverse(greatest_lower_bound(X_83,identity))) )],[refute_0_3577,refute_0_3578]) ).
cnf(refute_0_3580,plain,
least_upper_bound(X_526,inverse(greatest_lower_bound(X_83,identity))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),X_526),
inference(resolve,[$cnf( $equal(least_upper_bound(X_526,least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),greatest_lower_bound(X_526,inverse(greatest_lower_bound(X_83,identity))))),least_upper_bound(inverse(greatest_lower_bound(identity,X_83)),X_526)) )],[refute_0_3291,refute_0_3579]) ).
cnf(refute_0_3581,plain,
least_upper_bound(multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)),inverse(greatest_lower_bound(X_613,identity))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity))),
inference(subst,[],[refute_0_3580:[bind(X_526,$fot(multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))),bind(X_83,$fot(X_613))]]) ).
cnf(refute_0_3582,plain,
( least_upper_bound(multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)),inverse(greatest_lower_bound(X_613,identity))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))))
| least_upper_bound(multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)),inverse(greatest_lower_bound(X_613,identity))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)),inverse(greatest_lower_bound(X_613,identity))))),bind(Y0,$fot(least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity))))),bind(Z0,$fot(least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))))))]]) ).
cnf(refute_0_3583,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))))
| least_upper_bound(multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)),inverse(greatest_lower_bound(X_613,identity))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)),inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))) )],[refute_0_3581,refute_0_3582]) ).
cnf(refute_0_3584,plain,
least_upper_bound(multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)),inverse(greatest_lower_bound(X_613,identity))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity))),least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))))) )],[refute_0_3290,refute_0_3583]) ).
cnf(refute_0_3585,plain,
least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))) = least_upper_bound(multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)),inverse(greatest_lower_bound(X_613,identity))),
inference(subst,[],[refute_0_2480:[bind(X_15,$fot(multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))),bind(X_240,$fot(X_613))]]) ).
cnf(refute_0_3586,plain,
( least_upper_bound(multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)),inverse(greatest_lower_bound(X_613,identity))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))) != least_upper_bound(multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)),inverse(greatest_lower_bound(X_613,identity)))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))))),bind(Y0,$fot(least_upper_bound(multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)),inverse(greatest_lower_bound(X_613,identity))))),bind(Z0,$fot(least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))))))]]) ).
cnf(refute_0_3587,plain,
( least_upper_bound(multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)),inverse(greatest_lower_bound(X_613,identity))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))),least_upper_bound(multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)),inverse(greatest_lower_bound(X_613,identity)))) )],[refute_0_3585,refute_0_3586]) ).
cnf(refute_0_3588,plain,
least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)),inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))))) )],[refute_0_3584,refute_0_3587]) ).
cnf(refute_0_3589,plain,
( least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))))
| least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139)
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))))),bind(Y0,$fot(least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))))),bind(Z0,$fot(least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139)))]]) ).
cnf(refute_0_3590,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139)
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))),least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613))))) )],[refute_0_3588,refute_0_3589]) ).
cnf(refute_0_3591,plain,
least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),multiply(X_139,least_upper_bound(identity,greatest_lower_bound(identity,X_613)))),least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139)) )],[refute_0_3244,refute_0_3590]) ).
cnf(refute_0_3592,plain,
( least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity))))
| least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139)
| least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139)) ),[0],$fot(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))))]]) ).
cnf(refute_0_3593,plain,
( least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity))))
| least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity)))),least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139)) )],[refute_0_3591,refute_0_3592]) ).
cnf(refute_0_3594,plain,
( multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)) != least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity))))
| least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity))))) )],[refute_0_3231,refute_0_3593]) ).
cnf(refute_0_3595,plain,
least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))) = least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(greatest_lower_bound(X_613,identity),identity)),least_upper_bound(identity,least_upper_bound(inverse(greatest_lower_bound(X_613,identity)),multiply(X_139,least_upper_bound(greatest_lower_bound(identity,X_613),identity))))) )],[refute_0_3216,refute_0_3594]) ).
cnf(refute_0_3596,plain,
( least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139)
| least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139) = least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))))),bind(Y0,$fot(least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139)))]]) ).
cnf(refute_0_3597,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139) = least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_139,inverse(greatest_lower_bound(X_613,identity))),least_upper_bound(inverse(greatest_lower_bound(identity,X_613)),X_139)) )],[refute_0_3595,refute_0_3596]) ).
cnf(refute_0_3598,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),identity) = least_upper_bound(identity,inverse(greatest_lower_bound(multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity))),
inference(subst,[],[refute_0_3597:[bind(X_139,$fot(identity)),bind(X_613,$fot(multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))]]) ).
cnf(refute_0_3599,plain,
( least_upper_bound(identity,inverse(greatest_lower_bound(multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity))) != inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))
| least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),identity) != least_upper_bound(identity,inverse(greatest_lower_bound(multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity)))
| least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),identity) = inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),identity))),bind(Y0,$fot(least_upper_bound(identity,inverse(greatest_lower_bound(multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity))))),bind(Z0,$fot(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))))]]) ).
cnf(refute_0_3600,plain,
( least_upper_bound(identity,inverse(greatest_lower_bound(multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity))) != inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))
| least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),identity) = inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),identity),least_upper_bound(identity,inverse(greatest_lower_bound(multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity)))) )],[refute_0_3598,refute_0_3599]) ).
cnf(refute_0_3601,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),identity) = inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,inverse(greatest_lower_bound(multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity),identity))),inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))) )],[refute_0_3199,refute_0_3600]) ).
cnf(refute_0_3602,plain,
least_upper_bound(X_438,inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70)))) = least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438),
inference(subst,[],[refute_0_2397:[bind(X_218,$fot(multiply(inverse(X),X_70))),bind(X_315,$fot(X_438))]]) ).
cnf(refute_0_3603,plain,
( multiply(inverse(X),greatest_lower_bound(X_70,X)) != greatest_lower_bound(identity,multiply(inverse(X),X_70))
| greatest_lower_bound(identity,multiply(inverse(X),X_70)) = multiply(inverse(X),greatest_lower_bound(X_70,X)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(inverse(X),greatest_lower_bound(X_70,X)))),bind(Y0,$fot(greatest_lower_bound(identity,multiply(inverse(X),X_70))))]]) ).
cnf(refute_0_3604,plain,
greatest_lower_bound(identity,multiply(inverse(X),X_70)) = multiply(inverse(X),greatest_lower_bound(X_70,X)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),greatest_lower_bound(X_70,X)),greatest_lower_bound(identity,multiply(inverse(X),X_70))) )],[refute_0_3333,refute_0_3603]) ).
cnf(refute_0_3605,plain,
( greatest_lower_bound(identity,multiply(inverse(X),X_70)) != multiply(inverse(X),greatest_lower_bound(X_70,X))
| least_upper_bound(X_438,inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70)))) != least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438)
| least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X)))) = least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_438,inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70)))),least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438)) ),[0,1,0],$fot(multiply(inverse(X),greatest_lower_bound(X_70,X)))]]) ).
cnf(refute_0_3606,plain,
( least_upper_bound(X_438,inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70)))) != least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438)
| least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X)))) = least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(inverse(X),X_70)),multiply(inverse(X),greatest_lower_bound(X_70,X))) )],[refute_0_3604,refute_0_3605]) ).
cnf(refute_0_3607,plain,
least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X)))) = least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438),
inference(resolve,[$cnf( $equal(least_upper_bound(X_438,inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70)))),least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438)) )],[refute_0_3602,refute_0_3606]) ).
cnf(refute_0_3608,plain,
inverse(multiply(inverse(X),greatest_lower_bound(X_70,X))) = multiply(inverse(greatest_lower_bound(X_70,X)),X),
inference(subst,[],[refute_0_63:[bind(X_23,$fot(greatest_lower_bound(X_70,X)))]]) ).
cnf(refute_0_3609,plain,
least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X)))) = least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X)))),
introduced(tautology,[refl,[$fot(least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X)))))]]) ).
cnf(refute_0_3610,plain,
( inverse(multiply(inverse(X),greatest_lower_bound(X_70,X))) != multiply(inverse(greatest_lower_bound(X_70,X)),X)
| least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X)))) != least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X))))
| least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X)))) = least_upper_bound(X_438,multiply(inverse(greatest_lower_bound(X_70,X)),X)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X)))),least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X))))) ),[1,1],$fot(multiply(inverse(greatest_lower_bound(X_70,X)),X))]]) ).
cnf(refute_0_3611,plain,
( inverse(multiply(inverse(X),greatest_lower_bound(X_70,X))) != multiply(inverse(greatest_lower_bound(X_70,X)),X)
| least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X)))) = least_upper_bound(X_438,multiply(inverse(greatest_lower_bound(X_70,X)),X)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X)))),least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X))))) )],[refute_0_3609,refute_0_3610]) ).
cnf(refute_0_3612,plain,
least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X)))) = least_upper_bound(X_438,multiply(inverse(greatest_lower_bound(X_70,X)),X)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X),greatest_lower_bound(X_70,X))),multiply(inverse(greatest_lower_bound(X_70,X)),X)) )],[refute_0_3608,refute_0_3611]) ).
cnf(refute_0_3613,plain,
( least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X)))) != least_upper_bound(X_438,multiply(inverse(greatest_lower_bound(X_70,X)),X))
| least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X)))) != least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438)
| least_upper_bound(X_438,multiply(inverse(greatest_lower_bound(X_70,X)),X)) = least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X)))),least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438)) ),[0],$fot(least_upper_bound(X_438,multiply(inverse(greatest_lower_bound(X_70,X)),X)))]]) ).
cnf(refute_0_3614,plain,
( least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X)))) != least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438)
| least_upper_bound(X_438,multiply(inverse(greatest_lower_bound(X_70,X)),X)) = least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X)))),least_upper_bound(X_438,multiply(inverse(greatest_lower_bound(X_70,X)),X))) )],[refute_0_3612,refute_0_3613]) ).
cnf(refute_0_3615,plain,
least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))) = least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity))),
inference(subst,[],[refute_0_2397:[bind(X_218,$fot(X_437)),bind(X_315,$fot(inverse(least_upper_bound(X_15,identity))))]]) ).
cnf(refute_0_3616,plain,
( least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))) != least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))))
| least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))) != least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity)))
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity))))) = least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437)))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))),least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))))) ),[0,1,1],$fot(least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity))))]]) ).
cnf(refute_0_3617,plain,
( least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))) != least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))))
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity))))) = least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))),least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity)))) )],[refute_0_3615,refute_0_3616]) ).
cnf(refute_0_3618,plain,
least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity))))) = least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437)))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(least_upper_bound(X_15,identity)),inverse(greatest_lower_bound(identity,X_437))))),least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))))) )],[refute_0_3459,refute_0_3617]) ).
cnf(refute_0_3619,plain,
least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,least_upper_bound(identity,inverse(greatest_lower_bound(X_240,identity))))) = least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity)),
inference(subst,[],[refute_0_2185:[bind(X_11,$fot(inverse(greatest_lower_bound(X_240,identity)))),bind(X_37,$fot(identity))]]) ).
cnf(refute_0_3620,plain,
( least_upper_bound(identity,inverse(greatest_lower_bound(X_240,identity))) != inverse(greatest_lower_bound(X_240,identity))
| least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,least_upper_bound(identity,inverse(greatest_lower_bound(X_240,identity))))) != least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity))
| least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity)))) = least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,least_upper_bound(identity,inverse(greatest_lower_bound(X_240,identity))))),least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity))) ),[0,1,1],$fot(inverse(greatest_lower_bound(X_240,identity)))]]) ).
cnf(refute_0_3621,plain,
( least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,least_upper_bound(identity,inverse(greatest_lower_bound(X_240,identity))))) != least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity))
| least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity)))) = least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,inverse(greatest_lower_bound(X_240,identity))),inverse(greatest_lower_bound(X_240,identity))) )],[refute_0_2473,refute_0_3620]) ).
cnf(refute_0_3622,plain,
least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity)))) = least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity)),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,least_upper_bound(identity,inverse(greatest_lower_bound(X_240,identity))))),least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity))) )],[refute_0_3619,refute_0_3621]) ).
cnf(refute_0_3623,plain,
least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity)))) = least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_36),
inference(subst,[],[refute_0_438:[bind(X_11,$fot(inverse(greatest_lower_bound(X_240,identity)))),bind(X_15,$fot(X_36))]]) ).
cnf(refute_0_3624,plain,
( least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity)))) != least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_36)
| least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity)))) != least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity))
| least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_36) = least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity)))),least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity))) ),[0],$fot(least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_36))]]) ).
cnf(refute_0_3625,plain,
( least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity)))) != least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity))
| least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_36) = least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity)))),least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_36)) )],[refute_0_3623,refute_0_3624]) ).
cnf(refute_0_3626,plain,
least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity)) = least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity)))),
inference(subst,[],[refute_0_3545:[bind(X_11,$fot(inverse(greatest_lower_bound(X_240,identity)))),bind(X_232,$fot(identity))]]) ).
cnf(refute_0_3627,plain,
( least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_36) != least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity))
| least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity)) != least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity))))
| least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_36) = least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_36),least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity))))) ),[0],$fot(least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity)))]]) ).
cnf(refute_0_3628,plain,
( least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_36) != least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity))
| least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_36) = least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity)),least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity))))) )],[refute_0_3626,refute_0_3627]) ).
cnf(refute_0_3629,plain,
( least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity)))) != least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity))
| least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_36) = least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_36),least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity))) )],[refute_0_3625,refute_0_3628]) ).
cnf(refute_0_3630,plain,
least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_36) = least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity)))),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity)))),least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),least_upper_bound(X_36,identity))) )],[refute_0_3622,refute_0_3629]) ).
cnf(refute_0_3631,plain,
( least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_36) != least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity))))
| least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity)))) = least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_36) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_36))),bind(Y0,$fot(least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity))))))]]) ).
cnf(refute_0_3632,plain,
least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity)))) = least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_36),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_240,identity)),X_36),least_upper_bound(identity,least_upper_bound(X_36,inverse(greatest_lower_bound(X_240,identity))))) )],[refute_0_3630,refute_0_3631]) ).
cnf(refute_0_3633,plain,
least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity)))) = least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15),
inference(subst,[],[refute_0_3632:[bind(X_240,$fot(X_437)),bind(X_36,$fot(X_15))]]) ).
cnf(refute_0_3634,plain,
least_upper_bound(least_upper_bound(X_98,X_97),greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)))) = least_upper_bound(X_98,X_97),
inference(subst,[],[refute_0_1530:[bind(X_10,$fot(least_upper_bound(X_98,X_97))),bind(X_44,$fot(least_upper_bound(X_97,X_98)))]]) ).
cnf(refute_0_3635,plain,
( greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)) != least_upper_bound(X_97,X_98)
| least_upper_bound(least_upper_bound(X_98,X_97),greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)))) != least_upper_bound(X_98,X_97)
| least_upper_bound(least_upper_bound(X_98,X_97),greatest_lower_bound(X_43,least_upper_bound(X_97,X_98))) = least_upper_bound(X_98,X_97) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(least_upper_bound(X_98,X_97),greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)))),least_upper_bound(X_98,X_97)) ),[0,1,1],$fot(least_upper_bound(X_97,X_98))]]) ).
cnf(refute_0_3636,plain,
( least_upper_bound(least_upper_bound(X_98,X_97),greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)))) != least_upper_bound(X_98,X_97)
| least_upper_bound(least_upper_bound(X_98,X_97),greatest_lower_bound(X_43,least_upper_bound(X_97,X_98))) = least_upper_bound(X_98,X_97) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)),least_upper_bound(X_97,X_98)) )],[refute_0_1968,refute_0_3635]) ).
cnf(refute_0_3637,plain,
least_upper_bound(least_upper_bound(X_98,X_97),greatest_lower_bound(X_43,least_upper_bound(X_97,X_98))) = least_upper_bound(X_98,X_97),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_98,X_97),greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(X_97,X_98),least_upper_bound(X_98,X_97)))),least_upper_bound(X_98,X_97)) )],[refute_0_3634,refute_0_3636]) ).
cnf(refute_0_3638,plain,
least_upper_bound(least_upper_bound(X_98,X_97),greatest_lower_bound(X_43,least_upper_bound(X_97,X_98))) = least_upper_bound(X_98,least_upper_bound(X_97,greatest_lower_bound(X_43,least_upper_bound(X_97,X_98)))),
inference(subst,[],[refute_0_434:[bind(X,$fot(X_98)),bind(Y,$fot(X_97)),bind(Z,$fot(greatest_lower_bound(X_43,least_upper_bound(X_97,X_98))))]]) ).
cnf(refute_0_3639,plain,
( least_upper_bound(least_upper_bound(X_98,X_97),greatest_lower_bound(X_43,least_upper_bound(X_97,X_98))) != least_upper_bound(X_98,X_97)
| least_upper_bound(least_upper_bound(X_98,X_97),greatest_lower_bound(X_43,least_upper_bound(X_97,X_98))) != least_upper_bound(X_98,least_upper_bound(X_97,greatest_lower_bound(X_43,least_upper_bound(X_97,X_98))))
| least_upper_bound(X_98,least_upper_bound(X_97,greatest_lower_bound(X_43,least_upper_bound(X_97,X_98)))) = least_upper_bound(X_98,X_97) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(least_upper_bound(X_98,X_97),greatest_lower_bound(X_43,least_upper_bound(X_97,X_98))),least_upper_bound(X_98,X_97)) ),[0],$fot(least_upper_bound(X_98,least_upper_bound(X_97,greatest_lower_bound(X_43,least_upper_bound(X_97,X_98)))))]]) ).
cnf(refute_0_3640,plain,
( least_upper_bound(least_upper_bound(X_98,X_97),greatest_lower_bound(X_43,least_upper_bound(X_97,X_98))) != least_upper_bound(X_98,X_97)
| least_upper_bound(X_98,least_upper_bound(X_97,greatest_lower_bound(X_43,least_upper_bound(X_97,X_98)))) = least_upper_bound(X_98,X_97) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_98,X_97),greatest_lower_bound(X_43,least_upper_bound(X_97,X_98))),least_upper_bound(X_98,least_upper_bound(X_97,greatest_lower_bound(X_43,least_upper_bound(X_97,X_98))))) )],[refute_0_3638,refute_0_3639]) ).
cnf(refute_0_3641,plain,
least_upper_bound(X_98,least_upper_bound(X_97,greatest_lower_bound(X_43,least_upper_bound(X_97,X_98)))) = least_upper_bound(X_98,X_97),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_98,X_97),greatest_lower_bound(X_43,least_upper_bound(X_97,X_98))),least_upper_bound(X_98,X_97)) )],[refute_0_3637,refute_0_3640]) ).
cnf(refute_0_3642,plain,
least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269))))) = least_upper_bound(least_upper_bound(X_15,X_269),identity),
inference(subst,[],[refute_0_3641:[bind(X_43,$fot(inverse(least_upper_bound(X_15,identity)))),bind(X_97,$fot(identity)),bind(X_98,$fot(least_upper_bound(X_15,X_269)))]]) ).
cnf(refute_0_3643,plain,
greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))) = greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))),
inference(subst,[],[refute_0_3081:[bind(Y,$fot(X_269)),bind(X_43,$fot(least_upper_bound(identity,X_15))),bind(X_45,$fot(inverse(least_upper_bound(X_15,identity))))]]) ).
cnf(refute_0_3644,plain,
( greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))) != greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity)))
| greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))) != inverse(least_upper_bound(X_15,identity))
| greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))) = inverse(least_upper_bound(X_15,identity)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))),inverse(least_upper_bound(X_15,identity))) ),[0],$fot(greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))))]]) ).
cnf(refute_0_3645,plain,
( greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))) != greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity)))
| greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))) = inverse(least_upper_bound(X_15,identity)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity))),inverse(least_upper_bound(X_15,identity))) )],[refute_0_3447,refute_0_3644]) ).
cnf(refute_0_3646,plain,
greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))) = inverse(least_upper_bound(X_15,identity)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))),greatest_lower_bound(least_upper_bound(identity,X_15),inverse(least_upper_bound(X_15,identity)))) )],[refute_0_3643,refute_0_3645]) ).
cnf(refute_0_3647,plain,
least_upper_bound(least_upper_bound(identity,X_15),X_269) = least_upper_bound(identity,least_upper_bound(X_15,X_269)),
inference(subst,[],[refute_0_434:[bind(X,$fot(identity)),bind(Y,$fot(X_15)),bind(Z,$fot(X_269))]]) ).
cnf(refute_0_3648,plain,
greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(least_upper_bound(identity,X_15),X_269)) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(least_upper_bound(identity,X_15),X_269)),
introduced(tautology,[refl,[$fot(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(least_upper_bound(identity,X_15),X_269)))]]) ).
cnf(refute_0_3649,plain,
( greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(least_upper_bound(identity,X_15),X_269)) != greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(least_upper_bound(identity,X_15),X_269))
| least_upper_bound(least_upper_bound(identity,X_15),X_269) != least_upper_bound(identity,least_upper_bound(X_15,X_269))
| greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(least_upper_bound(identity,X_15),X_269)) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(least_upper_bound(identity,X_15),X_269)),greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(least_upper_bound(identity,X_15),X_269))) ),[1,1],$fot(least_upper_bound(identity,least_upper_bound(X_15,X_269)))]]) ).
cnf(refute_0_3650,plain,
( least_upper_bound(least_upper_bound(identity,X_15),X_269) != least_upper_bound(identity,least_upper_bound(X_15,X_269))
| greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(least_upper_bound(identity,X_15),X_269)) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(least_upper_bound(identity,X_15),X_269)),greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(least_upper_bound(identity,X_15),X_269))) )],[refute_0_3648,refute_0_3649]) ).
cnf(refute_0_3651,plain,
greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(least_upper_bound(identity,X_15),X_269)) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269))),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(identity,X_15),X_269),least_upper_bound(identity,least_upper_bound(X_15,X_269))) )],[refute_0_3647,refute_0_3650]) ).
cnf(refute_0_3652,plain,
greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(identity,X_248),inverse(least_upper_bound(X_248,identity))))) = greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248))),
inference(subst,[],[refute_0_1479:[bind(X_19,$fot(inverse(least_upper_bound(X_248,identity)))),bind(X_44,$fot(least_upper_bound(identity,X_248)))]]) ).
cnf(refute_0_3653,plain,
inverse(least_upper_bound(X_248,identity)) = greatest_lower_bound(least_upper_bound(identity,X_248),inverse(least_upper_bound(X_248,identity))),
inference(subst,[],[refute_0_3445:[bind(X_15,$fot(X_248))]]) ).
cnf(refute_0_3654,plain,
( inverse(least_upper_bound(X_248,identity)) != greatest_lower_bound(least_upper_bound(identity,X_248),inverse(least_upper_bound(X_248,identity)))
| greatest_lower_bound(least_upper_bound(identity,X_248),inverse(least_upper_bound(X_248,identity))) = inverse(least_upper_bound(X_248,identity)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(least_upper_bound(X_248,identity)))),bind(Y0,$fot(greatest_lower_bound(least_upper_bound(identity,X_248),inverse(least_upper_bound(X_248,identity)))))]]) ).
cnf(refute_0_3655,plain,
greatest_lower_bound(least_upper_bound(identity,X_248),inverse(least_upper_bound(X_248,identity))) = inverse(least_upper_bound(X_248,identity)),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(least_upper_bound(identity,X_248),inverse(least_upper_bound(X_248,identity)))) )],[refute_0_3653,refute_0_3654]) ).
cnf(refute_0_3656,plain,
( greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(identity,X_248),inverse(least_upper_bound(X_248,identity))))) != greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248)))
| greatest_lower_bound(least_upper_bound(identity,X_248),inverse(least_upper_bound(X_248,identity))) != inverse(least_upper_bound(X_248,identity))
| greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity)))) = greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(identity,X_248),inverse(least_upper_bound(X_248,identity))))),greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248)))) ),[0,1,1],$fot(inverse(least_upper_bound(X_248,identity)))]]) ).
cnf(refute_0_3657,plain,
( greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(identity,X_248),inverse(least_upper_bound(X_248,identity))))) != greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248)))
| greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity)))) = greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,X_248),inverse(least_upper_bound(X_248,identity))),inverse(least_upper_bound(X_248,identity))) )],[refute_0_3655,refute_0_3656]) ).
cnf(refute_0_3658,plain,
greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity)))) = greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,greatest_lower_bound(least_upper_bound(identity,X_248),inverse(least_upper_bound(X_248,identity))))),greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248)))) )],[refute_0_3652,refute_0_3657]) ).
cnf(refute_0_3659,plain,
greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity)))) = greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),X_43),
inference(subst,[],[refute_0_765:[bind(Y,$fot(X_43)),bind(X_19,$fot(inverse(least_upper_bound(X_248,identity))))]]) ).
cnf(refute_0_3660,plain,
( greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity)))) != greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),X_43)
| greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity)))) != greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248)))
| greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),X_43) = greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248))) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity)))),greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248)))) ),[0],$fot(greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),X_43))]]) ).
cnf(refute_0_3661,plain,
( greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity)))) != greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248)))
| greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),X_43) = greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity)))),greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),X_43)) )],[refute_0_3659,refute_0_3660]) ).
cnf(refute_0_3662,plain,
greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248))) = greatest_lower_bound(least_upper_bound(identity,X_248),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity)))),
inference(subst,[],[refute_0_1836:[bind(X_235,$fot(inverse(least_upper_bound(X_248,identity)))),bind(X_44,$fot(least_upper_bound(identity,X_248)))]]) ).
cnf(refute_0_3663,plain,
( greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),X_43) != greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248)))
| greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248))) != greatest_lower_bound(least_upper_bound(identity,X_248),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity))))
| greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),X_43) = greatest_lower_bound(least_upper_bound(identity,X_248),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),X_43),greatest_lower_bound(least_upper_bound(identity,X_248),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity))))) ),[0],$fot(greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248))))]]) ).
cnf(refute_0_3664,plain,
( greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),X_43) != greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248)))
| greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),X_43) = greatest_lower_bound(least_upper_bound(identity,X_248),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248))),greatest_lower_bound(least_upper_bound(identity,X_248),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity))))) )],[refute_0_3662,refute_0_3663]) ).
cnf(refute_0_3665,plain,
( greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity)))) != greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248)))
| greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),X_43) = greatest_lower_bound(least_upper_bound(identity,X_248),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity)))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),X_43),greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248)))) )],[refute_0_3661,refute_0_3664]) ).
cnf(refute_0_3666,plain,
greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),X_43) = greatest_lower_bound(least_upper_bound(identity,X_248),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity)))),greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),greatest_lower_bound(X_43,least_upper_bound(identity,X_248)))) )],[refute_0_3658,refute_0_3665]) ).
cnf(refute_0_3667,plain,
( greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),X_43) != greatest_lower_bound(least_upper_bound(identity,X_248),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity))))
| greatest_lower_bound(least_upper_bound(identity,X_248),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity)))) = greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),X_43) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),X_43))),bind(Y0,$fot(greatest_lower_bound(least_upper_bound(identity,X_248),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity))))))]]) ).
cnf(refute_0_3668,plain,
greatest_lower_bound(least_upper_bound(identity,X_248),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity)))) = greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),X_43),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_248,identity)),X_43),greatest_lower_bound(least_upper_bound(identity,X_248),greatest_lower_bound(X_43,inverse(least_upper_bound(X_248,identity))))) )],[refute_0_3666,refute_0_3667]) ).
cnf(refute_0_3669,plain,
greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(least_upper_bound(identity,X_15),X_269)),
inference(subst,[],[refute_0_3668:[bind(X_248,$fot(X_15)),bind(X_43,$fot(least_upper_bound(least_upper_bound(identity,X_15),X_269)))]]) ).
cnf(refute_0_3670,plain,
( greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(least_upper_bound(identity,X_15),X_269)) != greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269)))
| greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))) != greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(least_upper_bound(identity,X_15),X_269))
| greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))))),bind(Y0,$fot(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(least_upper_bound(identity,X_15),X_269)))),bind(Z0,$fot(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269)))))]]) ).
cnf(refute_0_3671,plain,
( greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(least_upper_bound(identity,X_15),X_269)) != greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269)))
| greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))),greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(least_upper_bound(identity,X_15),X_269))) )],[refute_0_3669,refute_0_3670]) ).
cnf(refute_0_3672,plain,
greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))) = greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(least_upper_bound(identity,X_15),X_269)),greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269)))) )],[refute_0_3651,refute_0_3671]) ).
cnf(refute_0_3673,plain,
( greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))) != greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269)))
| greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))) != inverse(least_upper_bound(X_15,identity))
| greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269))) = inverse(least_upper_bound(X_15,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))),inverse(least_upper_bound(X_15,identity))) ),[0],$fot(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269))))]]) ).
cnf(refute_0_3674,plain,
( greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))) != inverse(least_upper_bound(X_15,identity))
| greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269))) = inverse(least_upper_bound(X_15,identity)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))),greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269)))) )],[refute_0_3672,refute_0_3673]) ).
cnf(refute_0_3675,plain,
greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269))) = inverse(least_upper_bound(X_15,identity)),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(identity,X_15),greatest_lower_bound(least_upper_bound(least_upper_bound(identity,X_15),X_269),inverse(least_upper_bound(X_15,identity)))),inverse(least_upper_bound(X_15,identity))) )],[refute_0_3646,refute_0_3674]) ).
cnf(refute_0_3676,plain,
( greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269))) != inverse(least_upper_bound(X_15,identity))
| least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269))))) != least_upper_bound(least_upper_bound(X_15,X_269),identity)
| least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))) = least_upper_bound(least_upper_bound(X_15,X_269),identity) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269))))),least_upper_bound(least_upper_bound(X_15,X_269),identity)) ),[0,1,1],$fot(inverse(least_upper_bound(X_15,identity)))]]) ).
cnf(refute_0_3677,plain,
( least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269))))) != least_upper_bound(least_upper_bound(X_15,X_269),identity)
| least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))) = least_upper_bound(least_upper_bound(X_15,X_269),identity) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269))),inverse(least_upper_bound(X_15,identity))) )],[refute_0_3675,refute_0_3676]) ).
cnf(refute_0_3678,plain,
least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))) = least_upper_bound(least_upper_bound(X_15,X_269),identity),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,greatest_lower_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,X_269))))),least_upper_bound(least_upper_bound(X_15,X_269),identity)) )],[refute_0_3642,refute_0_3677]) ).
cnf(refute_0_3679,plain,
least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_11,X_36),X_38)) = least_upper_bound(least_upper_bound(X_36,greatest_lower_bound(X_11,X_36)),X_38),
inference(subst,[],[associativity_of_lub:[bind(X,$fot(X_36)),bind(Y,$fot(greatest_lower_bound(X_11,X_36))),bind(Z,$fot(X_38))]]) ).
cnf(refute_0_3680,plain,
least_upper_bound(X_36,greatest_lower_bound(X_11,X_36)) = X_36,
inference(subst,[],[refute_0_427:[bind(X_10,$fot(X_36))]]) ).
cnf(refute_0_3681,plain,
( least_upper_bound(X_36,greatest_lower_bound(X_11,X_36)) != X_36
| least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_11,X_36),X_38)) != least_upper_bound(least_upper_bound(X_36,greatest_lower_bound(X_11,X_36)),X_38)
| least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_11,X_36),X_38)) = least_upper_bound(X_36,X_38) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_11,X_36),X_38)),least_upper_bound(least_upper_bound(X_36,greatest_lower_bound(X_11,X_36)),X_38)) ),[1,0],$fot(X_36)]]) ).
cnf(refute_0_3682,plain,
( least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_11,X_36),X_38)) != least_upper_bound(least_upper_bound(X_36,greatest_lower_bound(X_11,X_36)),X_38)
| least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_11,X_36),X_38)) = least_upper_bound(X_36,X_38) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,greatest_lower_bound(X_11,X_36)),X_36) )],[refute_0_3680,refute_0_3681]) ).
cnf(refute_0_3683,plain,
least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_11,X_36),X_38)) = least_upper_bound(X_36,X_38),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_11,X_36),X_38)),least_upper_bound(least_upper_bound(X_36,greatest_lower_bound(X_11,X_36)),X_38)) )],[refute_0_3679,refute_0_3682]) ).
cnf(refute_0_3684,plain,
least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(greatest_lower_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(identity,least_upper_bound(X_399,X_400))),X_38)) = least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38),
inference(subst,[],[refute_0_3683:[bind(X_11,$fot(inverse(least_upper_bound(X_399,identity)))),bind(X_36,$fot(least_upper_bound(identity,least_upper_bound(X_399,X_400))))]]) ).
cnf(refute_0_3685,plain,
greatest_lower_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(identity,least_upper_bound(X_399,X_400))) = inverse(least_upper_bound(X_399,identity)),
inference(subst,[],[refute_0_3675:[bind(X_15,$fot(X_399)),bind(X_269,$fot(X_400))]]) ).
cnf(refute_0_3686,plain,
( greatest_lower_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(identity,least_upper_bound(X_399,X_400))) != inverse(least_upper_bound(X_399,identity))
| least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(greatest_lower_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(identity,least_upper_bound(X_399,X_400))),X_38)) != least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38)
| least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(inverse(least_upper_bound(X_399,identity)),X_38)) = least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(greatest_lower_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(identity,least_upper_bound(X_399,X_400))),X_38)),least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38)) ),[0,1,0],$fot(inverse(least_upper_bound(X_399,identity)))]]) ).
cnf(refute_0_3687,plain,
( least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(greatest_lower_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(identity,least_upper_bound(X_399,X_400))),X_38)) != least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38)
| least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(inverse(least_upper_bound(X_399,identity)),X_38)) = least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(identity,least_upper_bound(X_399,X_400))),inverse(least_upper_bound(X_399,identity))) )],[refute_0_3685,refute_0_3686]) ).
cnf(refute_0_3688,plain,
least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(inverse(least_upper_bound(X_399,identity)),X_38)) = least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(greatest_lower_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(identity,least_upper_bound(X_399,X_400))),X_38)),least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38)) )],[refute_0_3684,refute_0_3687]) ).
cnf(refute_0_3689,plain,
multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))))),
inference(subst,[],[refute_0_2211:[bind(X_135,$fot(inverse(greatest_lower_bound(identity,inverse(X_78))))),bind(X_139,$fot(greatest_lower_bound(identity,X_78)))]]) ).
cnf(refute_0_3690,plain,
multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)),
inference(subst,[],[refute_0_2352:[bind(X_130,$fot(identity))]]) ).
cnf(refute_0_3691,plain,
( multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity))
| multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))))
| multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))))) ),[1,1,1],$fot(least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))]]) ).
cnf(refute_0_3692,plain,
( multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))))
| multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity))) )],[refute_0_3690,refute_0_3691]) ).
cnf(refute_0_3693,plain,
multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))))) )],[refute_0_3689,refute_0_3692]) ).
cnf(refute_0_3694,plain,
multiply(identity,X_78) = X_78,
inference(subst,[],[left_identity:[bind(X,$fot(X_78))]]) ).
cnf(refute_0_3695,plain,
inverse(multiply(identity,X_78)) = inverse(multiply(identity,X_78)),
introduced(tautology,[refl,[$fot(inverse(multiply(identity,X_78)))]]) ).
cnf(refute_0_3696,plain,
( multiply(identity,X_78) != X_78
| inverse(multiply(identity,X_78)) != inverse(multiply(identity,X_78))
| inverse(multiply(identity,X_78)) = inverse(X_78) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(identity,X_78)),inverse(multiply(identity,X_78))) ),[1,0],$fot(X_78)]]) ).
cnf(refute_0_3697,plain,
( multiply(identity,X_78) != X_78
| inverse(multiply(identity,X_78)) = inverse(X_78) ),
inference(resolve,[$cnf( $equal(inverse(multiply(identity,X_78)),inverse(multiply(identity,X_78))) )],[refute_0_3695,refute_0_3696]) ).
cnf(refute_0_3698,plain,
inverse(multiply(identity,X_78)) = inverse(X_78),
inference(resolve,[$cnf( $equal(multiply(identity,X_78),X_78) )],[refute_0_3694,refute_0_3697]) ).
cnf(refute_0_3699,plain,
greatest_lower_bound(identity,inverse(multiply(identity,X_78))) = greatest_lower_bound(identity,inverse(multiply(identity,X_78))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(identity,inverse(multiply(identity,X_78))))]]) ).
cnf(refute_0_3700,plain,
( greatest_lower_bound(identity,inverse(multiply(identity,X_78))) != greatest_lower_bound(identity,inverse(multiply(identity,X_78)))
| inverse(multiply(identity,X_78)) != inverse(X_78)
| greatest_lower_bound(identity,inverse(multiply(identity,X_78))) = greatest_lower_bound(identity,inverse(X_78)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(identity,inverse(multiply(identity,X_78))),greatest_lower_bound(identity,inverse(multiply(identity,X_78)))) ),[1,1],$fot(inverse(X_78))]]) ).
cnf(refute_0_3701,plain,
( inverse(multiply(identity,X_78)) != inverse(X_78)
| greatest_lower_bound(identity,inverse(multiply(identity,X_78))) = greatest_lower_bound(identity,inverse(X_78)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(multiply(identity,X_78))),greatest_lower_bound(identity,inverse(multiply(identity,X_78)))) )],[refute_0_3699,refute_0_3700]) ).
cnf(refute_0_3702,plain,
greatest_lower_bound(identity,inverse(multiply(identity,X_78))) = greatest_lower_bound(identity,inverse(X_78)),
inference(resolve,[$cnf( $equal(inverse(multiply(identity,X_78)),inverse(X_78)) )],[refute_0_3698,refute_0_3701]) ).
cnf(refute_0_3703,plain,
inverse(greatest_lower_bound(identity,inverse(multiply(identity,X_78)))) = inverse(greatest_lower_bound(identity,inverse(multiply(identity,X_78)))),
introduced(tautology,[refl,[$fot(inverse(greatest_lower_bound(identity,inverse(multiply(identity,X_78)))))]]) ).
cnf(refute_0_3704,plain,
( greatest_lower_bound(identity,inverse(multiply(identity,X_78))) != greatest_lower_bound(identity,inverse(X_78))
| inverse(greatest_lower_bound(identity,inverse(multiply(identity,X_78)))) != inverse(greatest_lower_bound(identity,inverse(multiply(identity,X_78))))
| inverse(greatest_lower_bound(identity,inverse(multiply(identity,X_78)))) = inverse(greatest_lower_bound(identity,inverse(X_78))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(multiply(identity,X_78)))),inverse(greatest_lower_bound(identity,inverse(multiply(identity,X_78))))) ),[1,0],$fot(greatest_lower_bound(identity,inverse(X_78)))]]) ).
cnf(refute_0_3705,plain,
( greatest_lower_bound(identity,inverse(multiply(identity,X_78))) != greatest_lower_bound(identity,inverse(X_78))
| inverse(greatest_lower_bound(identity,inverse(multiply(identity,X_78)))) = inverse(greatest_lower_bound(identity,inverse(X_78))) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(multiply(identity,X_78)))),inverse(greatest_lower_bound(identity,inverse(multiply(identity,X_78))))) )],[refute_0_3703,refute_0_3704]) ).
cnf(refute_0_3706,plain,
inverse(greatest_lower_bound(identity,inverse(multiply(identity,X_78)))) = inverse(greatest_lower_bound(identity,inverse(X_78))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(multiply(identity,X_78))),greatest_lower_bound(identity,inverse(X_78))) )],[refute_0_3702,refute_0_3705]) ).
cnf(refute_0_3707,plain,
inverse(greatest_lower_bound(identity,multiply(inverse(X_175),inverse(X_85)))) = multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175),
inference(subst,[],[refute_0_2516:[bind(X,$fot(X_175)),bind(X_70,$fot(inverse(X_85)))]]) ).
cnf(refute_0_3708,plain,
multiply(greatest_lower_bound(X_85,inverse(X_175)),inverse(X_85)) = greatest_lower_bound(identity,multiply(inverse(X_175),inverse(X_85))),
inference(subst,[],[refute_0_555:[bind(X_86,$fot(inverse(X_175)))]]) ).
cnf(refute_0_3709,plain,
( multiply(greatest_lower_bound(X_85,inverse(X_175)),inverse(X_85)) != greatest_lower_bound(identity,multiply(inverse(X_175),inverse(X_85)))
| greatest_lower_bound(identity,multiply(inverse(X_175),inverse(X_85))) = multiply(greatest_lower_bound(X_85,inverse(X_175)),inverse(X_85)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(greatest_lower_bound(X_85,inverse(X_175)),inverse(X_85)))),bind(Y0,$fot(greatest_lower_bound(identity,multiply(inverse(X_175),inverse(X_85)))))]]) ).
cnf(refute_0_3710,plain,
greatest_lower_bound(identity,multiply(inverse(X_175),inverse(X_85))) = multiply(greatest_lower_bound(X_85,inverse(X_175)),inverse(X_85)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(X_85,inverse(X_175)),inverse(X_85)),greatest_lower_bound(identity,multiply(inverse(X_175),inverse(X_85)))) )],[refute_0_3708,refute_0_3709]) ).
cnf(refute_0_3711,plain,
( greatest_lower_bound(identity,multiply(inverse(X_175),inverse(X_85))) != multiply(greatest_lower_bound(X_85,inverse(X_175)),inverse(X_85))
| inverse(greatest_lower_bound(identity,multiply(inverse(X_175),inverse(X_85)))) != multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175)
| inverse(multiply(greatest_lower_bound(X_85,inverse(X_175)),inverse(X_85))) = multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(identity,multiply(inverse(X_175),inverse(X_85)))),multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175)) ),[0,0],$fot(multiply(greatest_lower_bound(X_85,inverse(X_175)),inverse(X_85)))]]) ).
cnf(refute_0_3712,plain,
( inverse(greatest_lower_bound(identity,multiply(inverse(X_175),inverse(X_85)))) != multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175)
| inverse(multiply(greatest_lower_bound(X_85,inverse(X_175)),inverse(X_85))) = multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,multiply(inverse(X_175),inverse(X_85))),multiply(greatest_lower_bound(X_85,inverse(X_175)),inverse(X_85))) )],[refute_0_3710,refute_0_3711]) ).
cnf(refute_0_3713,plain,
inverse(multiply(greatest_lower_bound(X_85,inverse(X_175)),inverse(X_85))) = multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,multiply(inverse(X_175),inverse(X_85)))),multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175)) )],[refute_0_3707,refute_0_3712]) ).
cnf(refute_0_3714,plain,
inverse(multiply(greatest_lower_bound(X_85,inverse(X_175)),inverse(X_85))) = multiply(X_85,inverse(greatest_lower_bound(X_85,inverse(X_175)))),
inference(subst,[],[refute_0_378:[bind(X,$fot(X_85)),bind(X_22,$fot(greatest_lower_bound(X_85,inverse(X_175))))]]) ).
cnf(refute_0_3715,plain,
( inverse(multiply(greatest_lower_bound(X_85,inverse(X_175)),inverse(X_85))) != multiply(X_85,inverse(greatest_lower_bound(X_85,inverse(X_175))))
| inverse(multiply(greatest_lower_bound(X_85,inverse(X_175)),inverse(X_85))) != multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175)
| multiply(X_85,inverse(greatest_lower_bound(X_85,inverse(X_175)))) = multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(greatest_lower_bound(X_85,inverse(X_175)),inverse(X_85))),multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175)) ),[0],$fot(multiply(X_85,inverse(greatest_lower_bound(X_85,inverse(X_175)))))]]) ).
cnf(refute_0_3716,plain,
( inverse(multiply(greatest_lower_bound(X_85,inverse(X_175)),inverse(X_85))) != multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175)
| multiply(X_85,inverse(greatest_lower_bound(X_85,inverse(X_175)))) = multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175) ),
inference(resolve,[$cnf( $equal(inverse(multiply(greatest_lower_bound(X_85,inverse(X_175)),inverse(X_85))),multiply(X_85,inverse(greatest_lower_bound(X_85,inverse(X_175))))) )],[refute_0_3714,refute_0_3715]) ).
cnf(refute_0_3717,plain,
inverse(greatest_lower_bound(identity,multiply(inverse(X_175),inverse(X)))) = multiply(inverse(greatest_lower_bound(inverse(X),X_175)),X_175),
inference(subst,[],[refute_0_2516:[bind(X,$fot(X_175)),bind(X_70,$fot(inverse(X)))]]) ).
cnf(refute_0_3718,plain,
inverse(multiply(X,X_175)) = multiply(inverse(X_175),inverse(X)),
inference(subst,[],[p20_3:[bind(Y,$fot(X_175))]]) ).
cnf(refute_0_3719,plain,
( inverse(multiply(X,X_175)) != multiply(inverse(X_175),inverse(X))
| multiply(inverse(X_175),inverse(X)) = inverse(multiply(X,X_175)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(multiply(X,X_175)))),bind(Y0,$fot(multiply(inverse(X_175),inverse(X))))]]) ).
cnf(refute_0_3720,plain,
multiply(inverse(X_175),inverse(X)) = inverse(multiply(X,X_175)),
inference(resolve,[$cnf( $equal(inverse(multiply(X,X_175)),multiply(inverse(X_175),inverse(X))) )],[refute_0_3718,refute_0_3719]) ).
cnf(refute_0_3721,plain,
( multiply(inverse(X_175),inverse(X)) != inverse(multiply(X,X_175))
| inverse(greatest_lower_bound(identity,multiply(inverse(X_175),inverse(X)))) != multiply(inverse(greatest_lower_bound(inverse(X),X_175)),X_175)
| inverse(greatest_lower_bound(identity,inverse(multiply(X,X_175)))) = multiply(inverse(greatest_lower_bound(inverse(X),X_175)),X_175) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(identity,multiply(inverse(X_175),inverse(X)))),multiply(inverse(greatest_lower_bound(inverse(X),X_175)),X_175)) ),[0,0,1],$fot(inverse(multiply(X,X_175)))]]) ).
cnf(refute_0_3722,plain,
( inverse(greatest_lower_bound(identity,multiply(inverse(X_175),inverse(X)))) != multiply(inverse(greatest_lower_bound(inverse(X),X_175)),X_175)
| inverse(greatest_lower_bound(identity,inverse(multiply(X,X_175)))) = multiply(inverse(greatest_lower_bound(inverse(X),X_175)),X_175) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_175),inverse(X)),inverse(multiply(X,X_175))) )],[refute_0_3720,refute_0_3721]) ).
cnf(refute_0_3723,plain,
inverse(greatest_lower_bound(identity,inverse(multiply(X,X_175)))) = multiply(inverse(greatest_lower_bound(inverse(X),X_175)),X_175),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,multiply(inverse(X_175),inverse(X)))),multiply(inverse(greatest_lower_bound(inverse(X),X_175)),X_175)) )],[refute_0_3717,refute_0_3722]) ).
cnf(refute_0_3724,plain,
( inverse(greatest_lower_bound(identity,inverse(multiply(X,X_175)))) != multiply(inverse(greatest_lower_bound(inverse(X),X_175)),X_175)
| multiply(inverse(greatest_lower_bound(inverse(X),X_175)),X_175) = inverse(greatest_lower_bound(identity,inverse(multiply(X,X_175)))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(greatest_lower_bound(identity,inverse(multiply(X,X_175)))))),bind(Y0,$fot(multiply(inverse(greatest_lower_bound(inverse(X),X_175)),X_175)))]]) ).
cnf(refute_0_3725,plain,
multiply(inverse(greatest_lower_bound(inverse(X),X_175)),X_175) = inverse(greatest_lower_bound(identity,inverse(multiply(X,X_175)))),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(multiply(X,X_175)))),multiply(inverse(greatest_lower_bound(inverse(X),X_175)),X_175)) )],[refute_0_3723,refute_0_3724]) ).
cnf(refute_0_3726,plain,
multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175) = inverse(greatest_lower_bound(identity,inverse(multiply(X_85,X_175)))),
inference(subst,[],[refute_0_3725:[bind(X,$fot(X_85))]]) ).
cnf(refute_0_3727,plain,
( multiply(X_85,inverse(greatest_lower_bound(X_85,inverse(X_175)))) != multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175)
| multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175) != inverse(greatest_lower_bound(identity,inverse(multiply(X_85,X_175))))
| multiply(X_85,inverse(greatest_lower_bound(X_85,inverse(X_175)))) = inverse(greatest_lower_bound(identity,inverse(multiply(X_85,X_175)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_85,inverse(greatest_lower_bound(X_85,inverse(X_175)))),inverse(greatest_lower_bound(identity,inverse(multiply(X_85,X_175))))) ),[0],$fot(multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175))]]) ).
cnf(refute_0_3728,plain,
( multiply(X_85,inverse(greatest_lower_bound(X_85,inverse(X_175)))) != multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175)
| multiply(X_85,inverse(greatest_lower_bound(X_85,inverse(X_175)))) = inverse(greatest_lower_bound(identity,inverse(multiply(X_85,X_175)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175),inverse(greatest_lower_bound(identity,inverse(multiply(X_85,X_175))))) )],[refute_0_3726,refute_0_3727]) ).
cnf(refute_0_3729,plain,
( inverse(multiply(greatest_lower_bound(X_85,inverse(X_175)),inverse(X_85))) != multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175)
| multiply(X_85,inverse(greatest_lower_bound(X_85,inverse(X_175)))) = inverse(greatest_lower_bound(identity,inverse(multiply(X_85,X_175)))) ),
inference(resolve,[$cnf( $equal(multiply(X_85,inverse(greatest_lower_bound(X_85,inverse(X_175)))),multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175)) )],[refute_0_3716,refute_0_3728]) ).
cnf(refute_0_3730,plain,
multiply(X_85,inverse(greatest_lower_bound(X_85,inverse(X_175)))) = inverse(greatest_lower_bound(identity,inverse(multiply(X_85,X_175)))),
inference(resolve,[$cnf( $equal(inverse(multiply(greatest_lower_bound(X_85,inverse(X_175)),inverse(X_85))),multiply(inverse(greatest_lower_bound(inverse(X_85),X_175)),X_175)) )],[refute_0_3713,refute_0_3729]) ).
cnf(refute_0_3731,plain,
multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))) = inverse(greatest_lower_bound(identity,inverse(multiply(identity,X_78)))),
inference(subst,[],[refute_0_3730:[bind(X_175,$fot(X_78)),bind(X_85,$fot(identity))]]) ).
cnf(refute_0_3732,plain,
( multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))) != inverse(greatest_lower_bound(identity,inverse(multiply(identity,X_78))))
| inverse(greatest_lower_bound(identity,inverse(multiply(identity,X_78)))) != inverse(greatest_lower_bound(identity,inverse(X_78)))
| multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))) = inverse(greatest_lower_bound(identity,inverse(X_78))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))),bind(Y0,$fot(inverse(greatest_lower_bound(identity,inverse(multiply(identity,X_78)))))),bind(Z0,$fot(inverse(greatest_lower_bound(identity,inverse(X_78)))))]]) ).
cnf(refute_0_3733,plain,
( inverse(greatest_lower_bound(identity,inverse(multiply(identity,X_78)))) != inverse(greatest_lower_bound(identity,inverse(X_78)))
| multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))) = inverse(greatest_lower_bound(identity,inverse(X_78))) ),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))),inverse(greatest_lower_bound(identity,inverse(multiply(identity,X_78))))) )],[refute_0_3731,refute_0_3732]) ).
cnf(refute_0_3734,plain,
multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))) = inverse(greatest_lower_bound(identity,inverse(X_78))),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(multiply(identity,X_78)))),inverse(greatest_lower_bound(identity,inverse(X_78)))) )],[refute_0_3706,refute_0_3733]) ).
cnf(refute_0_3735,plain,
multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),
introduced(tautology,[refl,[$fot(multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))))]]) ).
cnf(refute_0_3736,plain,
( multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) != multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))
| multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))) != inverse(greatest_lower_bound(identity,inverse(X_78)))
| multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))) ),[1,1],$fot(inverse(greatest_lower_bound(identity,inverse(X_78))))]]) ).
cnf(refute_0_3737,plain,
( multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))) != inverse(greatest_lower_bound(identity,inverse(X_78)))
| multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))) )],[refute_0_3735,refute_0_3736]) ).
cnf(refute_0_3738,plain,
multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))),inverse(greatest_lower_bound(identity,inverse(X_78)))) )],[refute_0_3734,refute_0_3737]) ).
cnf(refute_0_3739,plain,
( multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) != multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78))))
| multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))) != X_78
| multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = X_78 ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))))),bind(Y0,$fot(multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))))),bind(Z0,$fot(X_78))]]) ).
cnf(refute_0_3740,plain,
( multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))) != X_78
| multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = X_78 ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78))))) )],[refute_0_3738,refute_0_3739]) ).
cnf(refute_0_3741,plain,
multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = X_78,
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))),X_78) )],[refute_0_2345,refute_0_3740]) ).
cnf(refute_0_3742,plain,
least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))) = least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))),
introduced(tautology,[refl,[$fot(least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))))]]) ).
cnf(refute_0_3743,plain,
( multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) != X_78
| least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))) != least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))))
| least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))) = least_upper_bound(identity,X_78) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))))) ),[1,1],$fot(X_78)]]) ).
cnf(refute_0_3744,plain,
( multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) != X_78
| least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))) = least_upper_bound(identity,X_78) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))))) )],[refute_0_3742,refute_0_3743]) ).
cnf(refute_0_3745,plain,
least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))) = least_upper_bound(identity,X_78),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),X_78) )],[refute_0_3741,refute_0_3744]) ).
cnf(refute_0_3746,plain,
multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),X_317)),inverse(greatest_lower_bound(identity,inverse(X_318)))) = least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318))))),
inference(subst,[],[refute_0_948:[bind(X_139,$fot(greatest_lower_bound(identity,inverse(X_318)))),bind(X_140,$fot(multiply(greatest_lower_bound(identity,X_318),X_317)))]]) ).
cnf(refute_0_3747,plain,
( multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),X_317)),inverse(greatest_lower_bound(identity,inverse(X_318)))) != least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318)))))
| least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),X_317)) != multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318)))
| multiply(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318))),inverse(greatest_lower_bound(identity,inverse(X_318)))) = least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),X_317)),inverse(greatest_lower_bound(identity,inverse(X_318)))),least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318)))))) ),[0,0],$fot(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318))))]]) ).
cnf(refute_0_3748,plain,
( multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),X_317)),inverse(greatest_lower_bound(identity,inverse(X_318)))) != least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318)))))
| multiply(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318))),inverse(greatest_lower_bound(identity,inverse(X_318)))) = least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318))))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),X_317)),multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318)))) )],[refute_0_2743,refute_0_3747]) ).
cnf(refute_0_3749,plain,
multiply(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318))),inverse(greatest_lower_bound(identity,inverse(X_318)))) = least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318))))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,inverse(X_318)),multiply(greatest_lower_bound(identity,X_318),X_317)),inverse(greatest_lower_bound(identity,inverse(X_318)))),least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318)))))) )],[refute_0_3746,refute_0_3748]) ).
cnf(refute_0_3750,plain,
multiply(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318))),inverse(greatest_lower_bound(identity,inverse(X_318)))) = multiply(greatest_lower_bound(identity,X_318),multiply(least_upper_bound(X_317,inverse(X_318)),inverse(greatest_lower_bound(identity,inverse(X_318))))),
inference(subst,[],[associativity:[bind(X,$fot(greatest_lower_bound(identity,X_318))),bind(Y,$fot(least_upper_bound(X_317,inverse(X_318)))),bind(Z,$fot(inverse(greatest_lower_bound(identity,inverse(X_318)))))]]) ).
cnf(refute_0_3751,plain,
( multiply(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318))),inverse(greatest_lower_bound(identity,inverse(X_318)))) != multiply(greatest_lower_bound(identity,X_318),multiply(least_upper_bound(X_317,inverse(X_318)),inverse(greatest_lower_bound(identity,inverse(X_318)))))
| multiply(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318))),inverse(greatest_lower_bound(identity,inverse(X_318)))) != least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318)))))
| multiply(greatest_lower_bound(identity,X_318),multiply(least_upper_bound(X_317,inverse(X_318)),inverse(greatest_lower_bound(identity,inverse(X_318))))) = least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318))),inverse(greatest_lower_bound(identity,inverse(X_318)))),least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318)))))) ),[0],$fot(multiply(greatest_lower_bound(identity,X_318),multiply(least_upper_bound(X_317,inverse(X_318)),inverse(greatest_lower_bound(identity,inverse(X_318))))))]]) ).
cnf(refute_0_3752,plain,
( multiply(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318))),inverse(greatest_lower_bound(identity,inverse(X_318)))) != least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318)))))
| multiply(greatest_lower_bound(identity,X_318),multiply(least_upper_bound(X_317,inverse(X_318)),inverse(greatest_lower_bound(identity,inverse(X_318))))) = least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318))),inverse(greatest_lower_bound(identity,inverse(X_318)))),multiply(greatest_lower_bound(identity,X_318),multiply(least_upper_bound(X_317,inverse(X_318)),inverse(greatest_lower_bound(identity,inverse(X_318)))))) )],[refute_0_3750,refute_0_3751]) ).
cnf(refute_0_3753,plain,
multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318)))) = multiply(greatest_lower_bound(identity,X_318),multiply(X_317,inverse(greatest_lower_bound(identity,inverse(X_318))))),
inference(subst,[],[associativity:[bind(X,$fot(greatest_lower_bound(identity,X_318))),bind(Y,$fot(X_317)),bind(Z,$fot(inverse(greatest_lower_bound(identity,inverse(X_318)))))]]) ).
cnf(refute_0_3754,plain,
least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318))))) = least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318))))),
introduced(tautology,[refl,[$fot(least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318))))))]]) ).
cnf(refute_0_3755,plain,
( multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318)))) != multiply(greatest_lower_bound(identity,X_318),multiply(X_317,inverse(greatest_lower_bound(identity,inverse(X_318)))))
| least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318))))) != least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318)))))
| least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318))))) = least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),multiply(X_317,inverse(greatest_lower_bound(identity,inverse(X_318)))))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318))))),least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318)))))) ),[1,1],$fot(multiply(greatest_lower_bound(identity,X_318),multiply(X_317,inverse(greatest_lower_bound(identity,inverse(X_318))))))]]) ).
cnf(refute_0_3756,plain,
( multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318)))) != multiply(greatest_lower_bound(identity,X_318),multiply(X_317,inverse(greatest_lower_bound(identity,inverse(X_318)))))
| least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318))))) = least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),multiply(X_317,inverse(greatest_lower_bound(identity,inverse(X_318)))))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318))))),least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318)))))) )],[refute_0_3754,refute_0_3755]) ).
cnf(refute_0_3757,plain,
least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318))))) = least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),multiply(X_317,inverse(greatest_lower_bound(identity,inverse(X_318)))))),
inference(resolve,[$cnf( $equal(multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318)))),multiply(greatest_lower_bound(identity,X_318),multiply(X_317,inverse(greatest_lower_bound(identity,inverse(X_318)))))) )],[refute_0_3753,refute_0_3756]) ).
cnf(refute_0_3758,plain,
( multiply(greatest_lower_bound(identity,X_318),multiply(least_upper_bound(X_317,inverse(X_318)),inverse(greatest_lower_bound(identity,inverse(X_318))))) != least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318)))))
| least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318))))) != least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),multiply(X_317,inverse(greatest_lower_bound(identity,inverse(X_318))))))
| multiply(greatest_lower_bound(identity,X_318),multiply(least_upper_bound(X_317,inverse(X_318)),inverse(greatest_lower_bound(identity,inverse(X_318))))) = least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),multiply(X_317,inverse(greatest_lower_bound(identity,inverse(X_318)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(greatest_lower_bound(identity,X_318),multiply(least_upper_bound(X_317,inverse(X_318)),inverse(greatest_lower_bound(identity,inverse(X_318))))),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),multiply(X_317,inverse(greatest_lower_bound(identity,inverse(X_318))))))) ),[0],$fot(least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318))))))]]) ).
cnf(refute_0_3759,plain,
( multiply(greatest_lower_bound(identity,X_318),multiply(least_upper_bound(X_317,inverse(X_318)),inverse(greatest_lower_bound(identity,inverse(X_318))))) != least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318)))))
| multiply(greatest_lower_bound(identity,X_318),multiply(least_upper_bound(X_317,inverse(X_318)),inverse(greatest_lower_bound(identity,inverse(X_318))))) = least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),multiply(X_317,inverse(greatest_lower_bound(identity,inverse(X_318)))))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318))))),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),multiply(X_317,inverse(greatest_lower_bound(identity,inverse(X_318))))))) )],[refute_0_3757,refute_0_3758]) ).
cnf(refute_0_3760,plain,
( multiply(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318))),inverse(greatest_lower_bound(identity,inverse(X_318)))) != least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318)))))
| multiply(greatest_lower_bound(identity,X_318),multiply(least_upper_bound(X_317,inverse(X_318)),inverse(greatest_lower_bound(identity,inverse(X_318))))) = least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),multiply(X_317,inverse(greatest_lower_bound(identity,inverse(X_318)))))) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_318),multiply(least_upper_bound(X_317,inverse(X_318)),inverse(greatest_lower_bound(identity,inverse(X_318))))),least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318)))))) )],[refute_0_3752,refute_0_3759]) ).
cnf(refute_0_3761,plain,
multiply(greatest_lower_bound(identity,X_318),multiply(least_upper_bound(X_317,inverse(X_318)),inverse(greatest_lower_bound(identity,inverse(X_318))))) = least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_318),multiply(X_317,inverse(greatest_lower_bound(identity,inverse(X_318)))))),
inference(resolve,[$cnf( $equal(multiply(multiply(greatest_lower_bound(identity,X_318),least_upper_bound(X_317,inverse(X_318))),inverse(greatest_lower_bound(identity,inverse(X_318)))),least_upper_bound(identity,multiply(multiply(greatest_lower_bound(identity,X_318),X_317),inverse(greatest_lower_bound(identity,inverse(X_318)))))) )],[refute_0_3749,refute_0_3760]) ).
cnf(refute_0_3762,plain,
multiply(greatest_lower_bound(identity,X_78),multiply(least_upper_bound(identity,inverse(X_78)),inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))),
inference(subst,[],[refute_0_3761:[bind(X_317,$fot(identity)),bind(X_318,$fot(X_78))]]) ).
cnf(refute_0_3763,plain,
( multiply(greatest_lower_bound(identity,X_78),multiply(least_upper_bound(identity,inverse(X_78)),inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))))
| least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))) != least_upper_bound(identity,X_78)
| multiply(greatest_lower_bound(identity,X_78),multiply(least_upper_bound(identity,inverse(X_78)),inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(identity,X_78) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(greatest_lower_bound(identity,X_78),multiply(least_upper_bound(identity,inverse(X_78)),inverse(greatest_lower_bound(identity,inverse(X_78))))))),bind(Y0,$fot(least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))))),bind(Z0,$fot(least_upper_bound(identity,X_78)))]]) ).
cnf(refute_0_3764,plain,
( least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))) != least_upper_bound(identity,X_78)
| multiply(greatest_lower_bound(identity,X_78),multiply(least_upper_bound(identity,inverse(X_78)),inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(identity,X_78) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_78),multiply(least_upper_bound(identity,inverse(X_78)),inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))))) )],[refute_0_3762,refute_0_3763]) ).
cnf(refute_0_3765,plain,
multiply(greatest_lower_bound(identity,X_78),multiply(least_upper_bound(identity,inverse(X_78)),inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(identity,X_78),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(greatest_lower_bound(identity,X_78),multiply(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))),least_upper_bound(identity,X_78)) )],[refute_0_3745,refute_0_3764]) ).
cnf(refute_0_3766,plain,
multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78)))) = multiply(greatest_lower_bound(identity,X_78),multiply(least_upper_bound(identity,inverse(X_78)),inverse(greatest_lower_bound(identity,inverse(X_78))))),
inference(subst,[],[associativity:[bind(X,$fot(greatest_lower_bound(identity,X_78))),bind(Y,$fot(least_upper_bound(identity,inverse(X_78)))),bind(Z,$fot(inverse(greatest_lower_bound(identity,inverse(X_78)))))]]) ).
cnf(refute_0_3767,plain,
( multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78)))) != multiply(greatest_lower_bound(identity,X_78),multiply(least_upper_bound(identity,inverse(X_78)),inverse(greatest_lower_bound(identity,inverse(X_78)))))
| multiply(greatest_lower_bound(identity,X_78),multiply(least_upper_bound(identity,inverse(X_78)),inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(identity,X_78)
| multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78)))) = least_upper_bound(identity,X_78) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78)))))),bind(Y0,$fot(multiply(greatest_lower_bound(identity,X_78),multiply(least_upper_bound(identity,inverse(X_78)),inverse(greatest_lower_bound(identity,inverse(X_78))))))),bind(Z0,$fot(least_upper_bound(identity,X_78)))]]) ).
cnf(refute_0_3768,plain,
( multiply(greatest_lower_bound(identity,X_78),multiply(least_upper_bound(identity,inverse(X_78)),inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(identity,X_78)
| multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78)))) = least_upper_bound(identity,X_78) ),
inference(resolve,[$cnf( $equal(multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78)))),multiply(greatest_lower_bound(identity,X_78),multiply(least_upper_bound(identity,inverse(X_78)),inverse(greatest_lower_bound(identity,inverse(X_78)))))) )],[refute_0_3766,refute_0_3767]) ).
cnf(refute_0_3769,plain,
multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78)))) = least_upper_bound(identity,X_78),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_78),multiply(least_upper_bound(identity,inverse(X_78)),inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,X_78)) )],[refute_0_3765,refute_0_3768]) ).
cnf(refute_0_3770,plain,
least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))) = inverse(greatest_lower_bound(identity,inverse(X_78))),
inference(subst,[],[refute_0_2410:[bind(X_82,$fot(inverse(X_78)))]]) ).
cnf(refute_0_3771,plain,
multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),
introduced(tautology,[refl,[$fot(multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))))]]) ).
cnf(refute_0_3772,plain,
( multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) != multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))
| least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))) != inverse(greatest_lower_bound(identity,inverse(X_78)))
| multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))) ),[1,1],$fot(inverse(greatest_lower_bound(identity,inverse(X_78))))]]) ).
cnf(refute_0_3773,plain,
( least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))) != inverse(greatest_lower_bound(identity,inverse(X_78)))
| multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))) )],[refute_0_3771,refute_0_3772]) ).
cnf(refute_0_3774,plain,
multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78)))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))),inverse(greatest_lower_bound(identity,inverse(X_78)))) )],[refute_0_3770,refute_0_3773]) ).
cnf(refute_0_3775,plain,
least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78))) = multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),
inference(subst,[],[refute_0_1226:[bind(X_75,$fot(X_78))]]) ).
cnf(refute_0_3776,plain,
inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))) = greatest_lower_bound(identity,inverse(X_78)),
inference(subst,[],[p20_2:[bind(X,$fot(greatest_lower_bound(identity,inverse(X_78))))]]) ).
cnf(refute_0_3777,plain,
least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),
introduced(tautology,[refl,[$fot(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))]]) ).
cnf(refute_0_3778,plain,
( inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))) != greatest_lower_bound(identity,inverse(X_78))
| least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))
| least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))) ),[1,1],$fot(greatest_lower_bound(identity,inverse(X_78)))]]) ).
cnf(refute_0_3779,plain,
( inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))) != greatest_lower_bound(identity,inverse(X_78))
| least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))) )],[refute_0_3777,refute_0_3778]) ).
cnf(refute_0_3780,plain,
least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78))),
inference(resolve,[$cnf( $equal(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),greatest_lower_bound(identity,inverse(X_78))) )],[refute_0_3776,refute_0_3779]) ).
cnf(refute_0_3781,plain,
( least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78))) != multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))
| least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78)))
| least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))),bind(Y0,$fot(least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78))))),bind(Z0,$fot(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))))]]) ).
cnf(refute_0_3782,plain,
( least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78))) != multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))
| least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78)))) )],[refute_0_3780,refute_0_3781]) ).
cnf(refute_0_3783,plain,
least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78))),multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))) )],[refute_0_3775,refute_0_3782]) ).
cnf(refute_0_3784,plain,
multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),
introduced(tautology,[refl,[$fot(multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))))]]) ).
cnf(refute_0_3785,plain,
( multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) != multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))
| least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) != multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))
| multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))) ),[1,0],$fot(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))]]) ).
cnf(refute_0_3786,plain,
( least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) != multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))
| multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))) )],[refute_0_3784,refute_0_3785]) ).
cnf(refute_0_3787,plain,
multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))) )],[refute_0_3783,refute_0_3786]) ).
cnf(refute_0_3788,plain,
( multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) != multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78))))
| multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) != multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))
| multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78)))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))))),bind(Y0,$fot(multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))))),bind(Z0,$fot(multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78))))))]]) ).
cnf(refute_0_3789,plain,
( multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) != multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78))))
| multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78)))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78)))))) )],[refute_0_3787,refute_0_3788]) ).
cnf(refute_0_3790,plain,
multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78)))),
inference(resolve,[$cnf( $equal(multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78))))) )],[refute_0_3774,refute_0_3789]) ).
cnf(refute_0_3791,plain,
( multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78)))) != least_upper_bound(identity,X_78)
| multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) != multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78))))
| multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(identity,X_78) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))))),bind(Y0,$fot(multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78)))))),bind(Z0,$fot(least_upper_bound(identity,X_78)))]]) ).
cnf(refute_0_3792,plain,
( multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78)))) != least_upper_bound(identity,X_78)
| multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(identity,X_78) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78))))) )],[refute_0_3790,refute_0_3791]) ).
cnf(refute_0_3793,plain,
multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(identity,X_78),
inference(resolve,[$cnf( $equal(multiply(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(identity,X_78)) )],[refute_0_3769,refute_0_3792]) ).
cnf(refute_0_3794,plain,
( multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(identity,X_78)
| multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity))))
| least_upper_bound(identity,X_78) = least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity))))) ),[0],$fot(least_upper_bound(identity,X_78))]]) ).
cnf(refute_0_3795,plain,
( multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity))))
| least_upper_bound(identity,X_78) = least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,X_78)) )],[refute_0_3793,refute_0_3794]) ).
cnf(refute_0_3796,plain,
multiply(greatest_lower_bound(identity,X_78),identity) = greatest_lower_bound(identity,X_78),
inference(subst,[],[refute_0_573:[bind(X,$fot(greatest_lower_bound(identity,X_78)))]]) ).
cnf(refute_0_3797,plain,
least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),
introduced(tautology,[refl,[$fot(least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))]]) ).
cnf(refute_0_3798,plain,
( multiply(greatest_lower_bound(identity,X_78),identity) != greatest_lower_bound(identity,X_78)
| least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))
| least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))) ),[1,0],$fot(greatest_lower_bound(identity,X_78))]]) ).
cnf(refute_0_3799,plain,
( multiply(greatest_lower_bound(identity,X_78),identity) != greatest_lower_bound(identity,X_78)
| least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))) )],[refute_0_3797,refute_0_3798]) ).
cnf(refute_0_3800,plain,
least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_78),identity),greatest_lower_bound(identity,X_78)) )],[refute_0_3796,refute_0_3799]) ).
cnf(refute_0_3801,plain,
( least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))
| least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78)))
| least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))),bind(Y0,$fot(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))),bind(Z0,$fot(least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78)))))]]) ).
cnf(refute_0_3802,plain,
( least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78)))
| least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))) )],[refute_0_3800,refute_0_3801]) ).
cnf(refute_0_3803,plain,
least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) = least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78))),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78)))) )],[refute_0_3780,refute_0_3802]) ).
cnf(refute_0_3804,plain,
( least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78)))
| least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78))) != multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))
| least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))),bind(Y0,$fot(least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78))))),bind(Z0,$fot(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))))]]) ).
cnf(refute_0_3805,plain,
( least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78))) != multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))
| least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78)))) )],[refute_0_3803,refute_0_3804]) ).
cnf(refute_0_3806,plain,
least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) = multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(identity,X_78),greatest_lower_bound(identity,inverse(X_78))),multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))) )],[refute_0_3775,refute_0_3805]) ).
cnf(refute_0_3807,plain,
least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))) = least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))),
introduced(tautology,[refl,[$fot(least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))))]]) ).
cnf(refute_0_3808,plain,
( least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))) != least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))
| least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) != multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))
| least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))) = least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))),least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))) ),[1,1],$fot(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))]]) ).
cnf(refute_0_3809,plain,
( least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))) != multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))
| least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))) = least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))),least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))) )],[refute_0_3807,refute_0_3808]) ).
cnf(refute_0_3810,plain,
least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))) = least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))) )],[refute_0_3806,refute_0_3809]) ).
cnf(refute_0_3811,plain,
least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))) = least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))),
introduced(tautology,[refl,[$fot(least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))))]]) ).
cnf(refute_0_3812,plain,
( least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))) != least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))
| least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))) != least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))))
| least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))) = least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))),least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))))) ),[1,1],$fot(least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))))]]) ).
cnf(refute_0_3813,plain,
( least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))) != least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))
| least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))) = least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))),least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))))) )],[refute_0_3811,refute_0_3812]) ).
cnf(refute_0_3814,plain,
least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))) = least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))) )],[refute_0_3810,refute_0_3813]) ).
cnf(refute_0_3815,plain,
least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(least_upper_bound(X_103,X_101),X_230))) = least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_103,X_101))),
inference(subst,[],[refute_0_2185:[bind(X_11,$fot(X_230)),bind(X_36,$fot(X_231)),bind(X_37,$fot(least_upper_bound(X_103,X_101)))]]) ).
cnf(refute_0_3816,plain,
least_upper_bound(X_231,least_upper_bound(X_101,X_103)) = least_upper_bound(X_231,least_upper_bound(X_103,X_101)),
inference(subst,[],[refute_0_3523:[bind(X_102,$fot(X_231))]]) ).
cnf(refute_0_3817,plain,
( least_upper_bound(X_231,least_upper_bound(X_101,X_103)) != least_upper_bound(X_231,least_upper_bound(X_103,X_101))
| least_upper_bound(X_231,least_upper_bound(X_103,X_101)) = least_upper_bound(X_231,least_upper_bound(X_101,X_103)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_231,least_upper_bound(X_101,X_103)))),bind(Y0,$fot(least_upper_bound(X_231,least_upper_bound(X_103,X_101))))]]) ).
cnf(refute_0_3818,plain,
least_upper_bound(X_231,least_upper_bound(X_103,X_101)) = least_upper_bound(X_231,least_upper_bound(X_101,X_103)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_231,least_upper_bound(X_101,X_103)),least_upper_bound(X_231,least_upper_bound(X_103,X_101))) )],[refute_0_3816,refute_0_3817]) ).
cnf(refute_0_3819,plain,
( least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(least_upper_bound(X_103,X_101),X_230))) != least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_103,X_101)))
| least_upper_bound(X_231,least_upper_bound(X_103,X_101)) != least_upper_bound(X_231,least_upper_bound(X_101,X_103))
| least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(least_upper_bound(X_103,X_101),X_230))) = least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_101,X_103))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(least_upper_bound(X_103,X_101),X_230))),least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_103,X_101)))) ),[1,1],$fot(least_upper_bound(X_231,least_upper_bound(X_101,X_103)))]]) ).
cnf(refute_0_3820,plain,
( least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(least_upper_bound(X_103,X_101),X_230))) != least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_103,X_101)))
| least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(least_upper_bound(X_103,X_101),X_230))) = least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_101,X_103))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_231,least_upper_bound(X_103,X_101)),least_upper_bound(X_231,least_upper_bound(X_101,X_103))) )],[refute_0_3818,refute_0_3819]) ).
cnf(refute_0_3821,plain,
least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(least_upper_bound(X_103,X_101),X_230))) = least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_101,X_103))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(least_upper_bound(X_103,X_101),X_230))),least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_103,X_101)))) )],[refute_0_3815,refute_0_3820]) ).
cnf(refute_0_3822,plain,
( least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(least_upper_bound(X_103,X_101),X_230))) != least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_101,X_103)))
| least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(least_upper_bound(X_103,X_101),X_230))) != least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_103,X_101)))
| least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_103,X_101))) = least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_101,X_103))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(least_upper_bound(X_103,X_101),X_230))),least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_101,X_103)))) ),[0],$fot(least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_103,X_101))))]]) ).
cnf(refute_0_3823,plain,
( least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(least_upper_bound(X_103,X_101),X_230))) != least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_101,X_103)))
| least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_103,X_101))) = least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_101,X_103))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(least_upper_bound(X_103,X_101),X_230))),least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_103,X_101)))) )],[refute_0_3815,refute_0_3822]) ).
cnf(refute_0_3824,plain,
least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_103,X_101))) = least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_101,X_103))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(least_upper_bound(X_103,X_101),X_230))),least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_101,X_103)))) )],[refute_0_3821,refute_0_3823]) ).
cnf(refute_0_3825,plain,
( least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_103,X_101))) != least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_101,X_103)))
| least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_101,X_103))) = least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_103,X_101))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_103,X_101))))),bind(Y0,$fot(least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_101,X_103)))))]]) ).
cnf(refute_0_3826,plain,
least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_101,X_103))) = least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_103,X_101))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_103,X_101))),least_upper_bound(X_230,least_upper_bound(X_231,least_upper_bound(X_101,X_103)))) )],[refute_0_3824,refute_0_3825]) ).
cnf(refute_0_3827,plain,
least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),multiply(greatest_lower_bound(identity,X_78),identity)))) = least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))),
inference(subst,[],[refute_0_3826:[bind(X_101,$fot(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))),bind(X_103,$fot(multiply(greatest_lower_bound(identity,X_78),identity))),bind(X_230,$fot(identity)),bind(X_231,$fot(X_78))]]) ).
cnf(refute_0_3828,plain,
least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)) = least_upper_bound(X_102,least_upper_bound(X_103,least_upper_bound(X_238,X_236))),
inference(subst,[],[refute_0_3523:[bind(X_101,$fot(least_upper_bound(X_238,X_236)))]]) ).
cnf(refute_0_3829,plain,
least_upper_bound(X_103,least_upper_bound(X_238,X_236)) = least_upper_bound(X_236,least_upper_bound(X_238,X_103)),
inference(subst,[],[refute_0_1123:[bind(X_15,$fot(X_236)),bind(X_46,$fot(X_103)),bind(X_47,$fot(X_238))]]) ).
cnf(refute_0_3830,plain,
( least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)) != least_upper_bound(X_102,least_upper_bound(X_103,least_upper_bound(X_238,X_236)))
| least_upper_bound(X_103,least_upper_bound(X_238,X_236)) != least_upper_bound(X_236,least_upper_bound(X_238,X_103))
| least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)) = least_upper_bound(X_102,least_upper_bound(X_236,least_upper_bound(X_238,X_103))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)),least_upper_bound(X_102,least_upper_bound(X_103,least_upper_bound(X_238,X_236)))) ),[1,1],$fot(least_upper_bound(X_236,least_upper_bound(X_238,X_103)))]]) ).
cnf(refute_0_3831,plain,
( least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)) != least_upper_bound(X_102,least_upper_bound(X_103,least_upper_bound(X_238,X_236)))
| least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)) = least_upper_bound(X_102,least_upper_bound(X_236,least_upper_bound(X_238,X_103))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_103,least_upper_bound(X_238,X_236)),least_upper_bound(X_236,least_upper_bound(X_238,X_103))) )],[refute_0_3829,refute_0_3830]) ).
cnf(refute_0_3832,plain,
least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)) = least_upper_bound(X_102,least_upper_bound(X_236,least_upper_bound(X_238,X_103))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)),least_upper_bound(X_102,least_upper_bound(X_103,least_upper_bound(X_238,X_236)))) )],[refute_0_3828,refute_0_3831]) ).
cnf(refute_0_3833,plain,
least_upper_bound(least_upper_bound(X_238,X_236),X_103) = least_upper_bound(X_238,least_upper_bound(X_236,X_103)),
inference(subst,[],[refute_0_434:[bind(X,$fot(X_238)),bind(Y,$fot(X_236)),bind(Z,$fot(X_103))]]) ).
cnf(refute_0_3834,plain,
least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)) = least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)),
introduced(tautology,[refl,[$fot(least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)))]]) ).
cnf(refute_0_3835,plain,
( least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)) != least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103))
| least_upper_bound(least_upper_bound(X_238,X_236),X_103) != least_upper_bound(X_238,least_upper_bound(X_236,X_103))
| least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)) = least_upper_bound(X_102,least_upper_bound(X_238,least_upper_bound(X_236,X_103))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)),least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103))) ),[1,1],$fot(least_upper_bound(X_238,least_upper_bound(X_236,X_103)))]]) ).
cnf(refute_0_3836,plain,
( least_upper_bound(least_upper_bound(X_238,X_236),X_103) != least_upper_bound(X_238,least_upper_bound(X_236,X_103))
| least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)) = least_upper_bound(X_102,least_upper_bound(X_238,least_upper_bound(X_236,X_103))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)),least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103))) )],[refute_0_3834,refute_0_3835]) ).
cnf(refute_0_3837,plain,
least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)) = least_upper_bound(X_102,least_upper_bound(X_238,least_upper_bound(X_236,X_103))),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_238,X_236),X_103),least_upper_bound(X_238,least_upper_bound(X_236,X_103))) )],[refute_0_3833,refute_0_3836]) ).
cnf(refute_0_3838,plain,
( least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)) != least_upper_bound(X_102,least_upper_bound(X_236,least_upper_bound(X_238,X_103)))
| least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)) != least_upper_bound(X_102,least_upper_bound(X_238,least_upper_bound(X_236,X_103)))
| least_upper_bound(X_102,least_upper_bound(X_238,least_upper_bound(X_236,X_103))) = least_upper_bound(X_102,least_upper_bound(X_236,least_upper_bound(X_238,X_103))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)),least_upper_bound(X_102,least_upper_bound(X_236,least_upper_bound(X_238,X_103)))) ),[0],$fot(least_upper_bound(X_102,least_upper_bound(X_238,least_upper_bound(X_236,X_103))))]]) ).
cnf(refute_0_3839,plain,
( least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)) != least_upper_bound(X_102,least_upper_bound(X_236,least_upper_bound(X_238,X_103)))
| least_upper_bound(X_102,least_upper_bound(X_238,least_upper_bound(X_236,X_103))) = least_upper_bound(X_102,least_upper_bound(X_236,least_upper_bound(X_238,X_103))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)),least_upper_bound(X_102,least_upper_bound(X_238,least_upper_bound(X_236,X_103)))) )],[refute_0_3837,refute_0_3838]) ).
cnf(refute_0_3840,plain,
least_upper_bound(X_102,least_upper_bound(X_238,least_upper_bound(X_236,X_103))) = least_upper_bound(X_102,least_upper_bound(X_236,least_upper_bound(X_238,X_103))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_102,least_upper_bound(least_upper_bound(X_238,X_236),X_103)),least_upper_bound(X_102,least_upper_bound(X_236,least_upper_bound(X_238,X_103)))) )],[refute_0_3832,refute_0_3839]) ).
cnf(refute_0_3841,plain,
( least_upper_bound(X_102,least_upper_bound(X_238,least_upper_bound(X_236,X_103))) != least_upper_bound(X_102,least_upper_bound(X_236,least_upper_bound(X_238,X_103)))
| least_upper_bound(X_102,least_upper_bound(X_236,least_upper_bound(X_238,X_103))) = least_upper_bound(X_102,least_upper_bound(X_238,least_upper_bound(X_236,X_103))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_102,least_upper_bound(X_238,least_upper_bound(X_236,X_103))))),bind(Y0,$fot(least_upper_bound(X_102,least_upper_bound(X_236,least_upper_bound(X_238,X_103)))))]]) ).
cnf(refute_0_3842,plain,
least_upper_bound(X_102,least_upper_bound(X_236,least_upper_bound(X_238,X_103))) = least_upper_bound(X_102,least_upper_bound(X_238,least_upper_bound(X_236,X_103))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_102,least_upper_bound(X_238,least_upper_bound(X_236,X_103))),least_upper_bound(X_102,least_upper_bound(X_236,least_upper_bound(X_238,X_103)))) )],[refute_0_3840,refute_0_3841]) ).
cnf(refute_0_3843,plain,
least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))) = least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),multiply(greatest_lower_bound(identity,X_78),identity)))),
inference(subst,[],[refute_0_3842:[bind(X_102,$fot(identity)),bind(X_103,$fot(multiply(greatest_lower_bound(identity,X_78),identity))),bind(X_236,$fot(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))),bind(X_238,$fot(X_78))]]) ).
cnf(refute_0_3844,plain,
( least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),multiply(greatest_lower_bound(identity,X_78),identity)))) != least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))))
| least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))) != least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),multiply(greatest_lower_bound(identity,X_78),identity))))
| least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))) = least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))))),bind(Y0,$fot(least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),multiply(greatest_lower_bound(identity,X_78),identity)))))),bind(Z0,$fot(least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))))))]]) ).
cnf(refute_0_3845,plain,
( least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),multiply(greatest_lower_bound(identity,X_78),identity)))) != least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))))
| least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))) = least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))),least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),multiply(greatest_lower_bound(identity,X_78),identity))))) )],[refute_0_3843,refute_0_3844]) ).
cnf(refute_0_3846,plain,
least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))) = least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),multiply(greatest_lower_bound(identity,X_78),identity)))),least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))))) )],[refute_0_3827,refute_0_3845]) ).
cnf(refute_0_3847,plain,
( least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))) != least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))))
| least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))) != least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))))
| least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))) = least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))))),bind(Y0,$fot(least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))))),bind(Z0,$fot(least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))))))]]) ).
cnf(refute_0_3848,plain,
( least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))) != least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))))
| least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))) = least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))),least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))))))) )],[refute_0_3846,refute_0_3847]) ).
cnf(refute_0_3849,plain,
least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))) = least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_78,least_upper_bound(multiply(greatest_lower_bound(identity,X_78),identity),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))))),least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))))) )],[refute_0_3814,refute_0_3848]) ).
cnf(refute_0_3850,plain,
( least_upper_bound(identity,X_78) != least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity))))
| least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))) != least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))))
| least_upper_bound(identity,X_78) = least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(identity,X_78),least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))))) ),[0],$fot(least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))))]]) ).
cnf(refute_0_3851,plain,
( least_upper_bound(identity,X_78) != least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity))))
| least_upper_bound(identity,X_78) = least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity)))),least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))))) )],[refute_0_3849,refute_0_3850]) ).
cnf(refute_0_3852,plain,
( multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))) != least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity))))
| least_upper_bound(identity,X_78) = least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,X_78),least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity))))) )],[refute_0_3795,refute_0_3851]) ).
cnf(refute_0_3853,plain,
least_upper_bound(identity,X_78) = least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,X_78),inverse(inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,inverse(greatest_lower_bound(identity,inverse(X_78))))),least_upper_bound(identity,least_upper_bound(inverse(inverse(greatest_lower_bound(identity,inverse(X_78)))),least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),identity))))) )],[refute_0_3693,refute_0_3852]) ).
cnf(refute_0_3854,plain,
multiply(least_upper_bound(X_78,identity),identity) = least_upper_bound(X_78,identity),
inference(subst,[],[refute_0_573:[bind(X,$fot(least_upper_bound(X_78,identity)))]]) ).
cnf(refute_0_3855,plain,
least_upper_bound(identity,multiply(X_78,identity)) = multiply(least_upper_bound(X_78,identity),identity),
inference(subst,[],[refute_0_1012:[bind(X_138,$fot(identity)),bind(X_139,$fot(X_78))]]) ).
cnf(refute_0_3856,plain,
( multiply(least_upper_bound(X_78,identity),identity) != least_upper_bound(X_78,identity)
| least_upper_bound(identity,multiply(X_78,identity)) != multiply(least_upper_bound(X_78,identity),identity)
| least_upper_bound(identity,multiply(X_78,identity)) = least_upper_bound(X_78,identity) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,multiply(X_78,identity)))),bind(Y0,$fot(multiply(least_upper_bound(X_78,identity),identity))),bind(Z0,$fot(least_upper_bound(X_78,identity)))]]) ).
cnf(refute_0_3857,plain,
( multiply(least_upper_bound(X_78,identity),identity) != least_upper_bound(X_78,identity)
| least_upper_bound(identity,multiply(X_78,identity)) = least_upper_bound(X_78,identity) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(X_78,identity)),multiply(least_upper_bound(X_78,identity),identity)) )],[refute_0_3855,refute_0_3856]) ).
cnf(refute_0_3858,plain,
least_upper_bound(identity,multiply(X_78,identity)) = least_upper_bound(X_78,identity),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_78,identity),identity),least_upper_bound(X_78,identity)) )],[refute_0_3854,refute_0_3857]) ).
cnf(refute_0_3859,plain,
multiply(X_129,least_upper_bound(X_130,inverse(X_129))) = least_upper_bound(multiply(X_129,X_130),multiply(X_129,inverse(X_129))),
inference(subst,[],[monotony_lub1:[bind(X,$fot(X_129)),bind(Y,$fot(X_130)),bind(Z,$fot(inverse(X_129)))]]) ).
cnf(refute_0_3860,plain,
( multiply(X_129,inverse(X_129)) != identity
| multiply(X_129,least_upper_bound(X_130,inverse(X_129))) != least_upper_bound(multiply(X_129,X_130),multiply(X_129,inverse(X_129)))
| multiply(X_129,least_upper_bound(X_130,inverse(X_129))) = least_upper_bound(multiply(X_129,X_130),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_129,least_upper_bound(X_130,inverse(X_129))),least_upper_bound(multiply(X_129,X_130),multiply(X_129,inverse(X_129)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_3861,plain,
( multiply(X_129,least_upper_bound(X_130,inverse(X_129))) != least_upper_bound(multiply(X_129,X_130),multiply(X_129,inverse(X_129)))
| multiply(X_129,least_upper_bound(X_130,inverse(X_129))) = least_upper_bound(multiply(X_129,X_130),identity) ),
inference(resolve,[$cnf( $equal(multiply(X_129,inverse(X_129)),identity) )],[refute_0_2558,refute_0_3860]) ).
cnf(refute_0_3862,plain,
multiply(X_129,least_upper_bound(X_130,inverse(X_129))) = least_upper_bound(multiply(X_129,X_130),identity),
inference(resolve,[$cnf( $equal(multiply(X_129,least_upper_bound(X_130,inverse(X_129))),least_upper_bound(multiply(X_129,X_130),multiply(X_129,inverse(X_129)))) )],[refute_0_3859,refute_0_3861]) ).
cnf(refute_0_3863,plain,
least_upper_bound(multiply(X_129,X_130),identity) = least_upper_bound(identity,multiply(X_129,X_130)),
inference(subst,[],[refute_0_404:[bind(X,$fot(identity)),bind(Y,$fot(multiply(X_129,X_130)))]]) ).
cnf(refute_0_3864,plain,
( multiply(X_129,least_upper_bound(X_130,inverse(X_129))) != least_upper_bound(multiply(X_129,X_130),identity)
| least_upper_bound(multiply(X_129,X_130),identity) != least_upper_bound(identity,multiply(X_129,X_130))
| multiply(X_129,least_upper_bound(X_130,inverse(X_129))) = least_upper_bound(identity,multiply(X_129,X_130)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_129,least_upper_bound(X_130,inverse(X_129))),least_upper_bound(identity,multiply(X_129,X_130))) ),[0],$fot(least_upper_bound(multiply(X_129,X_130),identity))]]) ).
cnf(refute_0_3865,plain,
( multiply(X_129,least_upper_bound(X_130,inverse(X_129))) != least_upper_bound(multiply(X_129,X_130),identity)
| multiply(X_129,least_upper_bound(X_130,inverse(X_129))) = least_upper_bound(identity,multiply(X_129,X_130)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(multiply(X_129,X_130),identity),least_upper_bound(identity,multiply(X_129,X_130))) )],[refute_0_3863,refute_0_3864]) ).
cnf(refute_0_3866,plain,
multiply(X_129,least_upper_bound(X_130,inverse(X_129))) = least_upper_bound(identity,multiply(X_129,X_130)),
inference(resolve,[$cnf( $equal(multiply(X_129,least_upper_bound(X_130,inverse(X_129))),least_upper_bound(multiply(X_129,X_130),identity)) )],[refute_0_3862,refute_0_3865]) ).
cnf(refute_0_3867,plain,
multiply(X_78,least_upper_bound(identity,inverse(X_78))) = least_upper_bound(identity,multiply(X_78,identity)),
inference(subst,[],[refute_0_3866:[bind(X_129,$fot(X_78)),bind(X_130,$fot(identity))]]) ).
cnf(refute_0_3868,plain,
( multiply(X_78,least_upper_bound(identity,inverse(X_78))) != least_upper_bound(identity,multiply(X_78,identity))
| least_upper_bound(identity,multiply(X_78,identity)) != least_upper_bound(X_78,identity)
| multiply(X_78,least_upper_bound(identity,inverse(X_78))) = least_upper_bound(X_78,identity) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(X_78,least_upper_bound(identity,inverse(X_78))))),bind(Y0,$fot(least_upper_bound(identity,multiply(X_78,identity)))),bind(Z0,$fot(least_upper_bound(X_78,identity)))]]) ).
cnf(refute_0_3869,plain,
( least_upper_bound(identity,multiply(X_78,identity)) != least_upper_bound(X_78,identity)
| multiply(X_78,least_upper_bound(identity,inverse(X_78))) = least_upper_bound(X_78,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_78,least_upper_bound(identity,inverse(X_78))),least_upper_bound(identity,multiply(X_78,identity))) )],[refute_0_3867,refute_0_3868]) ).
cnf(refute_0_3870,plain,
multiply(X_78,least_upper_bound(identity,inverse(X_78))) = least_upper_bound(X_78,identity),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(X_78,identity)),least_upper_bound(X_78,identity)) )],[refute_0_3858,refute_0_3869]) ).
cnf(refute_0_3871,plain,
least_upper_bound(X_78,greatest_lower_bound(identity,X_78)) = X_78,
inference(subst,[],[refute_0_427:[bind(X_10,$fot(X_78)),bind(X_11,$fot(identity))]]) ).
cnf(refute_0_3872,plain,
multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))) = multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))),
introduced(tautology,[refl,[$fot(multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))))]]) ).
cnf(refute_0_3873,plain,
( multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))) != multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78)))
| least_upper_bound(X_78,greatest_lower_bound(identity,X_78)) != X_78
| multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))) = multiply(X_78,least_upper_bound(identity,inverse(X_78))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))),multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78)))) ),[1,0],$fot(X_78)]]) ).
cnf(refute_0_3874,plain,
( least_upper_bound(X_78,greatest_lower_bound(identity,X_78)) != X_78
| multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))) = multiply(X_78,least_upper_bound(identity,inverse(X_78))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))),multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78)))) )],[refute_0_3872,refute_0_3873]) ).
cnf(refute_0_3875,plain,
multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))) = multiply(X_78,least_upper_bound(identity,inverse(X_78))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),X_78) )],[refute_0_3871,refute_0_3874]) ).
cnf(refute_0_3876,plain,
( multiply(X_78,least_upper_bound(identity,inverse(X_78))) != least_upper_bound(X_78,identity)
| multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))) != multiply(X_78,least_upper_bound(identity,inverse(X_78)))
| multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))) = least_upper_bound(X_78,identity) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))))),bind(Y0,$fot(multiply(X_78,least_upper_bound(identity,inverse(X_78))))),bind(Z0,$fot(least_upper_bound(X_78,identity)))]]) ).
cnf(refute_0_3877,plain,
( multiply(X_78,least_upper_bound(identity,inverse(X_78))) != least_upper_bound(X_78,identity)
| multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))) = least_upper_bound(X_78,identity) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))),multiply(X_78,least_upper_bound(identity,inverse(X_78)))) )],[refute_0_3875,refute_0_3876]) ).
cnf(refute_0_3878,plain,
multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))) = least_upper_bound(X_78,identity),
inference(resolve,[$cnf( $equal(multiply(X_78,least_upper_bound(identity,inverse(X_78))),least_upper_bound(X_78,identity)) )],[refute_0_3870,refute_0_3877]) ).
cnf(refute_0_3879,plain,
multiply(least_upper_bound(greatest_lower_bound(identity,X_78),X_78),least_upper_bound(identity,inverse(X_78))) = multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))),
inference(subst,[],[refute_0_2635:[bind(X_345,$fot(X_78)),bind(X_347,$fot(greatest_lower_bound(identity,X_78))),bind(X_59,$fot(least_upper_bound(identity,inverse(X_78))))]]) ).
cnf(refute_0_3880,plain,
multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))) = least_upper_bound(identity,least_upper_bound(inverse(inverse(X)),multiply(X_353,least_upper_bound(identity,inverse(X))))),
inference(subst,[],[refute_0_2211:[bind(X_135,$fot(inverse(X))),bind(X_139,$fot(X_353))]]) ).
cnf(refute_0_3881,plain,
( multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))) != least_upper_bound(identity,least_upper_bound(inverse(inverse(X)),multiply(X_353,least_upper_bound(identity,inverse(X)))))
| inverse(inverse(X)) != X
| multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))) = least_upper_bound(identity,least_upper_bound(X,multiply(X_353,least_upper_bound(identity,inverse(X))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))),least_upper_bound(identity,least_upper_bound(inverse(inverse(X)),multiply(X_353,least_upper_bound(identity,inverse(X)))))) ),[1,1,0],$fot(X)]]) ).
cnf(refute_0_3882,plain,
( multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))) != least_upper_bound(identity,least_upper_bound(inverse(inverse(X)),multiply(X_353,least_upper_bound(identity,inverse(X)))))
| multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))) = least_upper_bound(identity,least_upper_bound(X,multiply(X_353,least_upper_bound(identity,inverse(X))))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X)),X) )],[p20_2,refute_0_3881]) ).
cnf(refute_0_3883,plain,
multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))) = least_upper_bound(identity,least_upper_bound(X,multiply(X_353,least_upper_bound(identity,inverse(X))))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))),least_upper_bound(identity,least_upper_bound(inverse(inverse(X)),multiply(X_353,least_upper_bound(identity,inverse(X)))))) )],[refute_0_3880,refute_0_3882]) ).
cnf(refute_0_3884,plain,
least_upper_bound(X_353,inverse(inverse(X))) = least_upper_bound(X_353,inverse(inverse(X))),
introduced(tautology,[refl,[$fot(least_upper_bound(X_353,inverse(inverse(X))))]]) ).
cnf(refute_0_3885,plain,
( inverse(inverse(X)) != X
| least_upper_bound(X_353,inverse(inverse(X))) != least_upper_bound(X_353,inverse(inverse(X)))
| least_upper_bound(X_353,inverse(inverse(X))) = least_upper_bound(X_353,X) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(X_353,inverse(inverse(X)))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_3886,plain,
( inverse(inverse(X)) != X
| least_upper_bound(X_353,inverse(inverse(X))) = least_upper_bound(X_353,X) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(X_353,inverse(inverse(X)))) )],[refute_0_3884,refute_0_3885]) ).
cnf(refute_0_3887,plain,
least_upper_bound(X_353,inverse(inverse(X))) = least_upper_bound(X_353,X),
inference(resolve,[$cnf( $equal(inverse(inverse(X)),X) )],[p20_2,refute_0_3886]) ).
cnf(refute_0_3888,plain,
multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))) = multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))),
introduced(tautology,[refl,[$fot(multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))))]]) ).
cnf(refute_0_3889,plain,
( multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))) != multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X)))
| least_upper_bound(X_353,inverse(inverse(X))) != least_upper_bound(X_353,X)
| multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))) = multiply(least_upper_bound(X_353,X),least_upper_bound(identity,inverse(X))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))),multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X)))) ),[1,0],$fot(least_upper_bound(X_353,X))]]) ).
cnf(refute_0_3890,plain,
( least_upper_bound(X_353,inverse(inverse(X))) != least_upper_bound(X_353,X)
| multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))) = multiply(least_upper_bound(X_353,X),least_upper_bound(identity,inverse(X))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))),multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X)))) )],[refute_0_3888,refute_0_3889]) ).
cnf(refute_0_3891,plain,
multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))) = multiply(least_upper_bound(X_353,X),least_upper_bound(identity,inverse(X))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(X_353,X)) )],[refute_0_3887,refute_0_3890]) ).
cnf(refute_0_3892,plain,
( multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))) != multiply(least_upper_bound(X_353,X),least_upper_bound(identity,inverse(X)))
| multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))) != least_upper_bound(identity,least_upper_bound(X,multiply(X_353,least_upper_bound(identity,inverse(X)))))
| multiply(least_upper_bound(X_353,X),least_upper_bound(identity,inverse(X))) = least_upper_bound(identity,least_upper_bound(X,multiply(X_353,least_upper_bound(identity,inverse(X))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))),least_upper_bound(identity,least_upper_bound(X,multiply(X_353,least_upper_bound(identity,inverse(X)))))) ),[0],$fot(multiply(least_upper_bound(X_353,X),least_upper_bound(identity,inverse(X))))]]) ).
cnf(refute_0_3893,plain,
( multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))) != least_upper_bound(identity,least_upper_bound(X,multiply(X_353,least_upper_bound(identity,inverse(X)))))
| multiply(least_upper_bound(X_353,X),least_upper_bound(identity,inverse(X))) = least_upper_bound(identity,least_upper_bound(X,multiply(X_353,least_upper_bound(identity,inverse(X))))) ),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))),multiply(least_upper_bound(X_353,X),least_upper_bound(identity,inverse(X)))) )],[refute_0_3891,refute_0_3892]) ).
cnf(refute_0_3894,plain,
multiply(least_upper_bound(X_353,X),least_upper_bound(identity,inverse(X))) = least_upper_bound(identity,least_upper_bound(X,multiply(X_353,least_upper_bound(identity,inverse(X))))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_353,inverse(inverse(X))),least_upper_bound(identity,inverse(X))),least_upper_bound(identity,least_upper_bound(X,multiply(X_353,least_upper_bound(identity,inverse(X)))))) )],[refute_0_3883,refute_0_3893]) ).
cnf(refute_0_3895,plain,
( multiply(least_upper_bound(X_353,X),least_upper_bound(identity,inverse(X))) != least_upper_bound(identity,least_upper_bound(X,multiply(X_353,least_upper_bound(identity,inverse(X)))))
| least_upper_bound(identity,least_upper_bound(X,multiply(X_353,least_upper_bound(identity,inverse(X))))) = multiply(least_upper_bound(X_353,X),least_upper_bound(identity,inverse(X))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(multiply(least_upper_bound(X_353,X),least_upper_bound(identity,inverse(X))))),bind(Y0,$fot(least_upper_bound(identity,least_upper_bound(X,multiply(X_353,least_upper_bound(identity,inverse(X)))))))]]) ).
cnf(refute_0_3896,plain,
least_upper_bound(identity,least_upper_bound(X,multiply(X_353,least_upper_bound(identity,inverse(X))))) = multiply(least_upper_bound(X_353,X),least_upper_bound(identity,inverse(X))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_353,X),least_upper_bound(identity,inverse(X))),least_upper_bound(identity,least_upper_bound(X,multiply(X_353,least_upper_bound(identity,inverse(X)))))) )],[refute_0_3894,refute_0_3895]) ).
cnf(refute_0_3897,plain,
least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))) = multiply(least_upper_bound(greatest_lower_bound(identity,X_78),X_78),least_upper_bound(identity,inverse(X_78))),
inference(subst,[],[refute_0_3896:[bind(X,$fot(X_78)),bind(X_353,$fot(greatest_lower_bound(identity,X_78)))]]) ).
cnf(refute_0_3898,plain,
( multiply(least_upper_bound(greatest_lower_bound(identity,X_78),X_78),least_upper_bound(identity,inverse(X_78))) != multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78)))
| least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))) != multiply(least_upper_bound(greatest_lower_bound(identity,X_78),X_78),least_upper_bound(identity,inverse(X_78)))
| least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))) = multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))))),bind(Y0,$fot(multiply(least_upper_bound(greatest_lower_bound(identity,X_78),X_78),least_upper_bound(identity,inverse(X_78))))),bind(Z0,$fot(multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78)))))]]) ).
cnf(refute_0_3899,plain,
( multiply(least_upper_bound(greatest_lower_bound(identity,X_78),X_78),least_upper_bound(identity,inverse(X_78))) != multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78)))
| least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))) = multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))),multiply(least_upper_bound(greatest_lower_bound(identity,X_78),X_78),least_upper_bound(identity,inverse(X_78)))) )],[refute_0_3897,refute_0_3898]) ).
cnf(refute_0_3900,plain,
least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))) = multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(greatest_lower_bound(identity,X_78),X_78),least_upper_bound(identity,inverse(X_78))),multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78)))) )],[refute_0_3879,refute_0_3899]) ).
cnf(refute_0_3901,plain,
( multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))) != least_upper_bound(X_78,identity)
| least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))) != multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78)))
| least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))) = least_upper_bound(X_78,identity) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))))),bind(Y0,$fot(multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))))),bind(Z0,$fot(least_upper_bound(X_78,identity)))]]) ).
cnf(refute_0_3902,plain,
( multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))) != least_upper_bound(X_78,identity)
| least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))) = least_upper_bound(X_78,identity) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))),multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78)))) )],[refute_0_3900,refute_0_3901]) ).
cnf(refute_0_3903,plain,
least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))) = least_upper_bound(X_78,identity),
inference(resolve,[$cnf( $equal(multiply(least_upper_bound(X_78,greatest_lower_bound(identity,X_78)),least_upper_bound(identity,inverse(X_78))),least_upper_bound(X_78,identity)) )],[refute_0_3878,refute_0_3902]) ).
cnf(refute_0_3904,plain,
( least_upper_bound(identity,X_78) != least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))))
| least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))) != least_upper_bound(X_78,identity)
| least_upper_bound(identity,X_78) = least_upper_bound(X_78,identity) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(identity,X_78),least_upper_bound(X_78,identity)) ),[0],$fot(least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))))]]) ).
cnf(refute_0_3905,plain,
( least_upper_bound(identity,X_78) != least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))))
| least_upper_bound(identity,X_78) = least_upper_bound(X_78,identity) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78))))),least_upper_bound(X_78,identity)) )],[refute_0_3903,refute_0_3904]) ).
cnf(refute_0_3906,plain,
least_upper_bound(identity,X_78) = least_upper_bound(X_78,identity),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,X_78),least_upper_bound(identity,least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),least_upper_bound(identity,inverse(X_78)))))) )],[refute_0_3853,refute_0_3905]) ).
cnf(refute_0_3907,plain,
( least_upper_bound(identity,X_78) != least_upper_bound(X_78,identity)
| least_upper_bound(X_78,identity) = least_upper_bound(identity,X_78) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(identity,X_78))),bind(Y0,$fot(least_upper_bound(X_78,identity)))]]) ).
cnf(refute_0_3908,plain,
least_upper_bound(X_78,identity) = least_upper_bound(identity,X_78),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,X_78),least_upper_bound(X_78,identity)) )],[refute_0_3906,refute_0_3907]) ).
cnf(refute_0_3909,plain,
least_upper_bound(least_upper_bound(X_38,least_upper_bound(X_399,X_400)),identity) = least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))),
inference(subst,[],[refute_0_3908:[bind(X_78,$fot(least_upper_bound(X_38,least_upper_bound(X_399,X_400))))]]) ).
cnf(refute_0_3910,plain,
least_upper_bound(X,least_upper_bound(identity,inverse(least_upper_bound(X_163,identity)))) = least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_163,identity)),X)),
inference(subst,[],[refute_0_1038:[bind(X_36,$fot(identity)),bind(X_37,$fot(inverse(least_upper_bound(X_163,identity))))]]) ).
cnf(refute_0_3911,plain,
multiply(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,identity))) = least_upper_bound(identity,inverse(least_upper_bound(X_15,identity))),
inference(subst,[],[refute_0_416:[bind(X_135,$fot(least_upper_bound(X_15,identity)))]]) ).
cnf(refute_0_3912,plain,
least_upper_bound(identity,least_upper_bound(X_15,identity)) = least_upper_bound(identity,X_15),
inference(subst,[],[refute_0_438:[bind(X_11,$fot(identity))]]) ).
cnf(refute_0_3913,plain,
( multiply(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,identity))) != least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))
| least_upper_bound(identity,least_upper_bound(X_15,identity)) != least_upper_bound(identity,X_15)
| multiply(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,X_15)) = least_upper_bound(identity,inverse(least_upper_bound(X_15,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,identity))),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))) ),[0,1],$fot(least_upper_bound(identity,X_15))]]) ).
cnf(refute_0_3914,plain,
( multiply(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,identity))) != least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))
| multiply(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,X_15)) = least_upper_bound(identity,inverse(least_upper_bound(X_15,identity))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_15,identity)),least_upper_bound(identity,X_15)) )],[refute_0_3912,refute_0_3913]) ).
cnf(refute_0_3915,plain,
multiply(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,X_15)) = least_upper_bound(identity,inverse(least_upper_bound(X_15,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,least_upper_bound(X_15,identity))),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))) )],[refute_0_3911,refute_0_3914]) ).
cnf(refute_0_3916,plain,
multiply(inverse(least_upper_bound(X_100,X_99)),least_upper_bound(X_100,X_99)) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(least_upper_bound(X_100,X_99)))]]) ).
cnf(refute_0_3917,plain,
( multiply(inverse(least_upper_bound(X_100,X_99)),least_upper_bound(X_100,X_99)) != identity
| inverse(least_upper_bound(X_100,X_99)) != inverse(least_upper_bound(X_99,X_100))
| multiply(inverse(least_upper_bound(X_99,X_100)),least_upper_bound(X_100,X_99)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(least_upper_bound(X_100,X_99)),least_upper_bound(X_100,X_99)),identity) ),[0,0],$fot(inverse(least_upper_bound(X_99,X_100)))]]) ).
cnf(refute_0_3918,plain,
( multiply(inverse(least_upper_bound(X_100,X_99)),least_upper_bound(X_100,X_99)) != identity
| multiply(inverse(least_upper_bound(X_99,X_100)),least_upper_bound(X_100,X_99)) = identity ),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(X_100,X_99)),inverse(least_upper_bound(X_99,X_100))) )],[refute_0_1980,refute_0_3917]) ).
cnf(refute_0_3919,plain,
multiply(inverse(least_upper_bound(X_99,X_100)),least_upper_bound(X_100,X_99)) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(X_100,X_99)),least_upper_bound(X_100,X_99)),identity) )],[refute_0_3916,refute_0_3918]) ).
cnf(refute_0_3920,plain,
multiply(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,X_15)) = identity,
inference(subst,[],[refute_0_3919:[bind(X_100,$fot(identity)),bind(X_99,$fot(X_15))]]) ).
cnf(refute_0_3921,plain,
( multiply(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,X_15)) != identity
| multiply(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,X_15)) != least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))
| identity = least_upper_bound(identity,inverse(least_upper_bound(X_15,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,X_15)),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))) ),[0],$fot(identity)]]) ).
cnf(refute_0_3922,plain,
( multiply(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,X_15)) != least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))
| identity = least_upper_bound(identity,inverse(least_upper_bound(X_15,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,X_15)),identity) )],[refute_0_3920,refute_0_3921]) ).
cnf(refute_0_3923,plain,
identity = least_upper_bound(identity,inverse(least_upper_bound(X_15,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(X_15,identity)),least_upper_bound(identity,X_15)),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))) )],[refute_0_3915,refute_0_3922]) ).
cnf(refute_0_3924,plain,
identity = least_upper_bound(identity,inverse(least_upper_bound(X_163,identity))),
inference(subst,[],[refute_0_3923:[bind(X_15,$fot(X_163))]]) ).
cnf(refute_0_3925,plain,
( identity != least_upper_bound(identity,inverse(least_upper_bound(X_163,identity)))
| least_upper_bound(identity,inverse(least_upper_bound(X_163,identity))) = identity ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(identity)),bind(Y0,$fot(least_upper_bound(identity,inverse(least_upper_bound(X_163,identity)))))]]) ).
cnf(refute_0_3926,plain,
least_upper_bound(identity,inverse(least_upper_bound(X_163,identity))) = identity,
inference(resolve,[$cnf( $equal(identity,least_upper_bound(identity,inverse(least_upper_bound(X_163,identity)))) )],[refute_0_3924,refute_0_3925]) ).
cnf(refute_0_3927,plain,
( least_upper_bound(X,least_upper_bound(identity,inverse(least_upper_bound(X_163,identity)))) != least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_163,identity)),X))
| least_upper_bound(identity,inverse(least_upper_bound(X_163,identity))) != identity
| least_upper_bound(X,identity) = least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_163,identity)),X)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X,least_upper_bound(identity,inverse(least_upper_bound(X_163,identity)))),least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_163,identity)),X))) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_3928,plain,
( least_upper_bound(X,least_upper_bound(identity,inverse(least_upper_bound(X_163,identity)))) != least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_163,identity)),X))
| least_upper_bound(X,identity) = least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_163,identity)),X)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,inverse(least_upper_bound(X_163,identity))),identity) )],[refute_0_3926,refute_0_3927]) ).
cnf(refute_0_3929,plain,
least_upper_bound(X,identity) = least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_163,identity)),X)),
inference(resolve,[$cnf( $equal(least_upper_bound(X,least_upper_bound(identity,inverse(least_upper_bound(X_163,identity)))),least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_163,identity)),X))) )],[refute_0_3910,refute_0_3928]) ).
cnf(refute_0_3930,plain,
( least_upper_bound(X,identity) != least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_163,identity)),X))
| least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_163,identity)),X)) = least_upper_bound(X,identity) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X,identity))),bind(Y0,$fot(least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_163,identity)),X))))]]) ).
cnf(refute_0_3931,plain,
least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_163,identity)),X)) = least_upper_bound(X,identity),
inference(resolve,[$cnf( $equal(least_upper_bound(X,identity),least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_163,identity)),X))) )],[refute_0_3929,refute_0_3930]) ).
cnf(refute_0_3932,plain,
least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(X_399,X_400)))) = least_upper_bound(least_upper_bound(X_38,least_upper_bound(X_399,X_400)),identity),
inference(subst,[],[refute_0_3931:[bind(X,$fot(least_upper_bound(X_38,least_upper_bound(X_399,X_400)))),bind(X_163,$fot(X_399))]]) ).
cnf(refute_0_3933,plain,
( least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(X_399,X_400)))) != least_upper_bound(least_upper_bound(X_38,least_upper_bound(X_399,X_400)),identity)
| least_upper_bound(least_upper_bound(X_38,least_upper_bound(X_399,X_400)),identity) != least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400)))
| least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(X_399,X_400)))) = least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(X_399,X_400)))))),bind(Y0,$fot(least_upper_bound(least_upper_bound(X_38,least_upper_bound(X_399,X_400)),identity))),bind(Z0,$fot(least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400)))))]]) ).
cnf(refute_0_3934,plain,
( least_upper_bound(least_upper_bound(X_38,least_upper_bound(X_399,X_400)),identity) != least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400)))
| least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(X_399,X_400)))) = least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(X_399,X_400)))),least_upper_bound(least_upper_bound(X_38,least_upper_bound(X_399,X_400)),identity)) )],[refute_0_3932,refute_0_3933]) ).
cnf(refute_0_3935,plain,
least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(X_399,X_400)))) = least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_38,least_upper_bound(X_399,X_400)),identity),least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400)))) )],[refute_0_3909,refute_0_3934]) ).
cnf(refute_0_3936,plain,
multiply(greatest_lower_bound(identity,X_78),least_upper_bound(inverse(greatest_lower_bound(identity,inverse(X_78))),X_131)) = least_upper_bound(multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))),multiply(greatest_lower_bound(identity,X_78),X_131)),
inference(subst,[],[monotony_lub1:[bind(X,$fot(greatest_lower_bound(identity,X_78))),bind(Y,$fot(inverse(greatest_lower_bound(identity,inverse(X_78))))),bind(Z,$fot(X_131))]]) ).
cnf(refute_0_3937,plain,
( multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))) != X_78
| multiply(greatest_lower_bound(identity,X_78),least_upper_bound(inverse(greatest_lower_bound(identity,inverse(X_78))),X_131)) != least_upper_bound(multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))),multiply(greatest_lower_bound(identity,X_78),X_131))
| multiply(greatest_lower_bound(identity,X_78),least_upper_bound(inverse(greatest_lower_bound(identity,inverse(X_78))),X_131)) = least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),X_131)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(inverse(greatest_lower_bound(identity,inverse(X_78))),X_131)),least_upper_bound(multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))),multiply(greatest_lower_bound(identity,X_78),X_131))) ),[1,0],$fot(X_78)]]) ).
cnf(refute_0_3938,plain,
( multiply(greatest_lower_bound(identity,X_78),least_upper_bound(inverse(greatest_lower_bound(identity,inverse(X_78))),X_131)) != least_upper_bound(multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))),multiply(greatest_lower_bound(identity,X_78),X_131))
| multiply(greatest_lower_bound(identity,X_78),least_upper_bound(inverse(greatest_lower_bound(identity,inverse(X_78))),X_131)) = least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),X_131)) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))),X_78) )],[refute_0_2345,refute_0_3937]) ).
cnf(refute_0_3939,plain,
multiply(greatest_lower_bound(identity,X_78),least_upper_bound(inverse(greatest_lower_bound(identity,inverse(X_78))),X_131)) = least_upper_bound(X_78,multiply(greatest_lower_bound(identity,X_78),X_131)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_78),least_upper_bound(inverse(greatest_lower_bound(identity,inverse(X_78))),X_131)),least_upper_bound(multiply(greatest_lower_bound(identity,X_78),inverse(greatest_lower_bound(identity,inverse(X_78)))),multiply(greatest_lower_bound(identity,X_78),X_131))) )],[refute_0_3936,refute_0_3938]) ).
cnf(refute_0_3940,plain,
multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)) = least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)),
inference(subst,[],[refute_0_3939:[bind(X_131,$fot(X_325)),bind(X_78,$fot(least_upper_bound(X_36,least_upper_bound(X_37,identity))))]]) ).
cnf(refute_0_3941,plain,
greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))) = identity,
inference(subst,[],[refute_0_2977:[bind(X_14,$fot(identity))]]) ).
cnf(refute_0_3942,plain,
( multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)) != least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))
| greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))) != identity
| multiply(identity,least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)) = least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)),least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_3943,plain,
( multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)) != least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))
| multiply(identity,least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)) = least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),identity) )],[refute_0_3941,refute_0_3942]) ).
cnf(refute_0_3944,plain,
multiply(identity,least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)) = least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)),least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) )],[refute_0_3940,refute_0_3943]) ).
cnf(refute_0_3945,plain,
least_upper_bound(least_upper_bound(X_36,X_37),X_325) = least_upper_bound(X_36,least_upper_bound(X_37,X_325)),
inference(subst,[],[refute_0_434:[bind(X,$fot(X_36)),bind(Y,$fot(X_37)),bind(Z,$fot(X_325))]]) ).
cnf(refute_0_3946,plain,
least_upper_bound(identity,least_upper_bound(least_upper_bound(X_36,X_37),X_325)) = least_upper_bound(identity,least_upper_bound(least_upper_bound(X_36,X_37),X_325)),
introduced(tautology,[refl,[$fot(least_upper_bound(identity,least_upper_bound(least_upper_bound(X_36,X_37),X_325)))]]) ).
cnf(refute_0_3947,plain,
( least_upper_bound(identity,least_upper_bound(least_upper_bound(X_36,X_37),X_325)) != least_upper_bound(identity,least_upper_bound(least_upper_bound(X_36,X_37),X_325))
| least_upper_bound(least_upper_bound(X_36,X_37),X_325) != least_upper_bound(X_36,least_upper_bound(X_37,X_325))
| least_upper_bound(identity,least_upper_bound(least_upper_bound(X_36,X_37),X_325)) = least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(least_upper_bound(X_36,X_37),X_325)),least_upper_bound(identity,least_upper_bound(least_upper_bound(X_36,X_37),X_325))) ),[1,1],$fot(least_upper_bound(X_36,least_upper_bound(X_37,X_325)))]]) ).
cnf(refute_0_3948,plain,
( least_upper_bound(least_upper_bound(X_36,X_37),X_325) != least_upper_bound(X_36,least_upper_bound(X_37,X_325))
| least_upper_bound(identity,least_upper_bound(least_upper_bound(X_36,X_37),X_325)) = least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(least_upper_bound(X_36,X_37),X_325)),least_upper_bound(identity,least_upper_bound(least_upper_bound(X_36,X_37),X_325))) )],[refute_0_3946,refute_0_3947]) ).
cnf(refute_0_3949,plain,
least_upper_bound(identity,least_upper_bound(least_upper_bound(X_36,X_37),X_325)) = least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_36,X_37),X_325),least_upper_bound(X_36,least_upper_bound(X_37,X_325))) )],[refute_0_3945,refute_0_3948]) ).
cnf(refute_0_3950,plain,
least_upper_bound(least_upper_bound(identity,least_upper_bound(X_36,X_37)),X_325) = least_upper_bound(identity,least_upper_bound(least_upper_bound(X_36,X_37),X_325)),
inference(subst,[],[refute_0_434:[bind(X,$fot(identity)),bind(Y,$fot(least_upper_bound(X_36,X_37))),bind(Z,$fot(X_325))]]) ).
cnf(refute_0_3951,plain,
( least_upper_bound(identity,least_upper_bound(least_upper_bound(X_36,X_37),X_325)) != least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325)))
| least_upper_bound(least_upper_bound(identity,least_upper_bound(X_36,X_37)),X_325) != least_upper_bound(identity,least_upper_bound(least_upper_bound(X_36,X_37),X_325))
| least_upper_bound(least_upper_bound(identity,least_upper_bound(X_36,X_37)),X_325) = least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(least_upper_bound(identity,least_upper_bound(X_36,X_37)),X_325))),bind(Y0,$fot(least_upper_bound(identity,least_upper_bound(least_upper_bound(X_36,X_37),X_325)))),bind(Z0,$fot(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325)))))]]) ).
cnf(refute_0_3952,plain,
( least_upper_bound(identity,least_upper_bound(least_upper_bound(X_36,X_37),X_325)) != least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325)))
| least_upper_bound(least_upper_bound(identity,least_upper_bound(X_36,X_37)),X_325) = least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(identity,least_upper_bound(X_36,X_37)),X_325),least_upper_bound(identity,least_upper_bound(least_upper_bound(X_36,X_37),X_325))) )],[refute_0_3950,refute_0_3951]) ).
cnf(refute_0_3953,plain,
least_upper_bound(least_upper_bound(identity,least_upper_bound(X_36,X_37)),X_325) = least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(least_upper_bound(X_36,X_37),X_325)),least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325)))) )],[refute_0_3949,refute_0_3952]) ).
cnf(refute_0_3954,plain,
inverse(inverse(least_upper_bound(identity,least_upper_bound(X_36,X_37)))) = least_upper_bound(identity,least_upper_bound(X_36,X_37)),
inference(subst,[],[p20_2:[bind(X,$fot(least_upper_bound(identity,least_upper_bound(X_36,X_37))))]]) ).
cnf(refute_0_3955,plain,
inverse(least_upper_bound(least_upper_bound(X,Y),identity)) = greatest_lower_bound(identity,inverse(least_upper_bound(least_upper_bound(X,Y),identity))),
inference(subst,[],[refute_0_3325:[bind(X_15,$fot(least_upper_bound(X,Y)))]]) ).
cnf(refute_0_3956,plain,
least_upper_bound(X,least_upper_bound(Y,identity)) = least_upper_bound(least_upper_bound(X,Y),identity),
inference(subst,[],[associativity_of_lub:[bind(Z,$fot(identity))]]) ).
cnf(refute_0_3957,plain,
( least_upper_bound(X,least_upper_bound(Y,identity)) != least_upper_bound(least_upper_bound(X,Y),identity)
| least_upper_bound(least_upper_bound(X,Y),identity) = least_upper_bound(X,least_upper_bound(Y,identity)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X,least_upper_bound(Y,identity)))),bind(Y0,$fot(least_upper_bound(least_upper_bound(X,Y),identity)))]]) ).
cnf(refute_0_3958,plain,
least_upper_bound(least_upper_bound(X,Y),identity) = least_upper_bound(X,least_upper_bound(Y,identity)),
inference(resolve,[$cnf( $equal(least_upper_bound(X,least_upper_bound(Y,identity)),least_upper_bound(least_upper_bound(X,Y),identity)) )],[refute_0_3956,refute_0_3957]) ).
cnf(refute_0_3959,plain,
( inverse(least_upper_bound(least_upper_bound(X,Y),identity)) != greatest_lower_bound(identity,inverse(least_upper_bound(least_upper_bound(X,Y),identity)))
| least_upper_bound(least_upper_bound(X,Y),identity) != least_upper_bound(X,least_upper_bound(Y,identity))
| inverse(least_upper_bound(least_upper_bound(X,Y),identity)) = greatest_lower_bound(identity,inverse(least_upper_bound(X,least_upper_bound(Y,identity)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(least_upper_bound(least_upper_bound(X,Y),identity)),greatest_lower_bound(identity,inverse(least_upper_bound(least_upper_bound(X,Y),identity)))) ),[1,1,0],$fot(least_upper_bound(X,least_upper_bound(Y,identity)))]]) ).
cnf(refute_0_3960,plain,
( inverse(least_upper_bound(least_upper_bound(X,Y),identity)) != greatest_lower_bound(identity,inverse(least_upper_bound(least_upper_bound(X,Y),identity)))
| inverse(least_upper_bound(least_upper_bound(X,Y),identity)) = greatest_lower_bound(identity,inverse(least_upper_bound(X,least_upper_bound(Y,identity)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X,Y),identity),least_upper_bound(X,least_upper_bound(Y,identity))) )],[refute_0_3958,refute_0_3959]) ).
cnf(refute_0_3961,plain,
inverse(least_upper_bound(least_upper_bound(X,Y),identity)) = greatest_lower_bound(identity,inverse(least_upper_bound(X,least_upper_bound(Y,identity)))),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(least_upper_bound(X,Y),identity)),greatest_lower_bound(identity,inverse(least_upper_bound(least_upper_bound(X,Y),identity)))) )],[refute_0_3955,refute_0_3960]) ).
cnf(refute_0_3962,plain,
inverse(least_upper_bound(least_upper_bound(X,Y),identity)) = inverse(least_upper_bound(identity,least_upper_bound(X,Y))),
inference(subst,[],[refute_0_2004:[bind(X_97,$fot(least_upper_bound(X,Y))),bind(X_98,$fot(identity))]]) ).
cnf(refute_0_3963,plain,
( inverse(least_upper_bound(least_upper_bound(X,Y),identity)) != greatest_lower_bound(identity,inverse(least_upper_bound(X,least_upper_bound(Y,identity))))
| inverse(least_upper_bound(least_upper_bound(X,Y),identity)) != inverse(least_upper_bound(identity,least_upper_bound(X,Y)))
| inverse(least_upper_bound(identity,least_upper_bound(X,Y))) = greatest_lower_bound(identity,inverse(least_upper_bound(X,least_upper_bound(Y,identity)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(least_upper_bound(least_upper_bound(X,Y),identity)),greatest_lower_bound(identity,inverse(least_upper_bound(X,least_upper_bound(Y,identity))))) ),[0],$fot(inverse(least_upper_bound(identity,least_upper_bound(X,Y))))]]) ).
cnf(refute_0_3964,plain,
( inverse(least_upper_bound(least_upper_bound(X,Y),identity)) != greatest_lower_bound(identity,inverse(least_upper_bound(X,least_upper_bound(Y,identity))))
| inverse(least_upper_bound(identity,least_upper_bound(X,Y))) = greatest_lower_bound(identity,inverse(least_upper_bound(X,least_upper_bound(Y,identity)))) ),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(least_upper_bound(X,Y),identity)),inverse(least_upper_bound(identity,least_upper_bound(X,Y)))) )],[refute_0_3962,refute_0_3963]) ).
cnf(refute_0_3965,plain,
inverse(least_upper_bound(identity,least_upper_bound(X,Y))) = greatest_lower_bound(identity,inverse(least_upper_bound(X,least_upper_bound(Y,identity)))),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(least_upper_bound(X,Y),identity)),greatest_lower_bound(identity,inverse(least_upper_bound(X,least_upper_bound(Y,identity))))) )],[refute_0_3961,refute_0_3964]) ).
cnf(refute_0_3966,plain,
( inverse(least_upper_bound(identity,least_upper_bound(X,Y))) != greatest_lower_bound(identity,inverse(least_upper_bound(X,least_upper_bound(Y,identity))))
| greatest_lower_bound(identity,inverse(least_upper_bound(X,least_upper_bound(Y,identity)))) = inverse(least_upper_bound(identity,least_upper_bound(X,Y))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(least_upper_bound(identity,least_upper_bound(X,Y))))),bind(Y0,$fot(greatest_lower_bound(identity,inverse(least_upper_bound(X,least_upper_bound(Y,identity))))))]]) ).
cnf(refute_0_3967,plain,
greatest_lower_bound(identity,inverse(least_upper_bound(X,least_upper_bound(Y,identity)))) = inverse(least_upper_bound(identity,least_upper_bound(X,Y))),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(identity,least_upper_bound(X,Y))),greatest_lower_bound(identity,inverse(least_upper_bound(X,least_upper_bound(Y,identity))))) )],[refute_0_3965,refute_0_3966]) ).
cnf(refute_0_3968,plain,
greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity)))) = inverse(least_upper_bound(identity,least_upper_bound(X_36,X_37))),
inference(subst,[],[refute_0_3967:[bind(X,$fot(X_36)),bind(Y,$fot(X_37))]]) ).
cnf(refute_0_3969,plain,
inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))) = inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),
introduced(tautology,[refl,[$fot(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))))]]) ).
cnf(refute_0_3970,plain,
( greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity)))) != inverse(least_upper_bound(identity,least_upper_bound(X_36,X_37)))
| inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))) != inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity)))))
| inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))) = inverse(inverse(least_upper_bound(identity,least_upper_bound(X_36,X_37)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity)))))) ),[1,0],$fot(inverse(least_upper_bound(identity,least_upper_bound(X_36,X_37))))]]) ).
cnf(refute_0_3971,plain,
( greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity)))) != inverse(least_upper_bound(identity,least_upper_bound(X_36,X_37)))
| inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))) = inverse(inverse(least_upper_bound(identity,least_upper_bound(X_36,X_37)))) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity)))))) )],[refute_0_3969,refute_0_3970]) ).
cnf(refute_0_3972,plain,
inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))) = inverse(inverse(least_upper_bound(identity,least_upper_bound(X_36,X_37)))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity)))),inverse(least_upper_bound(identity,least_upper_bound(X_36,X_37)))) )],[refute_0_3968,refute_0_3971]) ).
cnf(refute_0_3973,plain,
( inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))) != inverse(inverse(least_upper_bound(identity,least_upper_bound(X_36,X_37))))
| inverse(inverse(least_upper_bound(identity,least_upper_bound(X_36,X_37)))) != least_upper_bound(identity,least_upper_bound(X_36,X_37))
| inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))) = least_upper_bound(identity,least_upper_bound(X_36,X_37)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))))),bind(Y0,$fot(inverse(inverse(least_upper_bound(identity,least_upper_bound(X_36,X_37)))))),bind(Z0,$fot(least_upper_bound(identity,least_upper_bound(X_36,X_37))))]]) ).
cnf(refute_0_3974,plain,
( inverse(inverse(least_upper_bound(identity,least_upper_bound(X_36,X_37)))) != least_upper_bound(identity,least_upper_bound(X_36,X_37))
| inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))) = least_upper_bound(identity,least_upper_bound(X_36,X_37)) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),inverse(inverse(least_upper_bound(identity,least_upper_bound(X_36,X_37))))) )],[refute_0_3972,refute_0_3973]) ).
cnf(refute_0_3975,plain,
inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))) = least_upper_bound(identity,least_upper_bound(X_36,X_37)),
inference(resolve,[$cnf( $equal(inverse(inverse(least_upper_bound(identity,least_upper_bound(X_36,X_37)))),least_upper_bound(identity,least_upper_bound(X_36,X_37))) )],[refute_0_3954,refute_0_3974]) ).
cnf(refute_0_3976,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325) = least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325),
introduced(tautology,[refl,[$fot(least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325))]]) ).
cnf(refute_0_3977,plain,
( inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))) != least_upper_bound(identity,least_upper_bound(X_36,X_37))
| least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325) != least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)
| least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325) = least_upper_bound(least_upper_bound(identity,least_upper_bound(X_36,X_37)),X_325) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325),least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)) ),[1,0],$fot(least_upper_bound(identity,least_upper_bound(X_36,X_37)))]]) ).
cnf(refute_0_3978,plain,
( inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))) != least_upper_bound(identity,least_upper_bound(X_36,X_37))
| least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325) = least_upper_bound(least_upper_bound(identity,least_upper_bound(X_36,X_37)),X_325) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325),least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)) )],[refute_0_3976,refute_0_3977]) ).
cnf(refute_0_3979,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325) = least_upper_bound(least_upper_bound(identity,least_upper_bound(X_36,X_37)),X_325),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),least_upper_bound(identity,least_upper_bound(X_36,X_37))) )],[refute_0_3975,refute_0_3978]) ).
cnf(refute_0_3980,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325) != least_upper_bound(least_upper_bound(identity,least_upper_bound(X_36,X_37)),X_325)
| least_upper_bound(least_upper_bound(identity,least_upper_bound(X_36,X_37)),X_325) != least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325)))
| least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325) = least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325))),bind(Y0,$fot(least_upper_bound(least_upper_bound(identity,least_upper_bound(X_36,X_37)),X_325))),bind(Z0,$fot(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325)))))]]) ).
cnf(refute_0_3981,plain,
( least_upper_bound(least_upper_bound(identity,least_upper_bound(X_36,X_37)),X_325) != least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325)))
| least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325) = least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325),least_upper_bound(least_upper_bound(identity,least_upper_bound(X_36,X_37)),X_325)) )],[refute_0_3979,refute_0_3980]) ).
cnf(refute_0_3982,plain,
least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325) = least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(identity,least_upper_bound(X_36,X_37)),X_325),least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325)))) )],[refute_0_3953,refute_0_3981]) ).
cnf(refute_0_3983,plain,
multiply(identity,least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)) = least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325),
inference(subst,[],[left_identity:[bind(X,$fot(least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)))]]) ).
cnf(refute_0_3984,plain,
( multiply(identity,least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)) != least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)
| least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325) != least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325)))
| multiply(identity,least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)) = least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(identity,least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)))),bind(Y0,$fot(least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325))),bind(Z0,$fot(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325)))))]]) ).
cnf(refute_0_3985,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325) != least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325)))
| multiply(identity,least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)) = least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))) ),
inference(resolve,[$cnf( $equal(multiply(identity,least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)),least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)) )],[refute_0_3983,refute_0_3984]) ).
cnf(refute_0_3986,plain,
multiply(identity,least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)) = least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325),least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325)))) )],[refute_0_3982,refute_0_3985]) ).
cnf(refute_0_3987,plain,
( multiply(identity,least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)) != least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325)))
| multiply(identity,least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)) != least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))
| least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))) = least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)),least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) ),[0],$fot(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))))]]) ).
cnf(refute_0_3988,plain,
( multiply(identity,least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)) != least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))
| least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))) = least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) ),
inference(resolve,[$cnf( $equal(multiply(identity,least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)),least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325)))) )],[refute_0_3986,refute_0_3987]) ).
cnf(refute_0_3989,plain,
multiply(identity,X_325) = X_325,
inference(subst,[],[left_identity:[bind(X,$fot(X_325))]]) ).
cnf(refute_0_3990,plain,
multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325) = multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325),
introduced(tautology,[refl,[$fot(multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))]]) ).
cnf(refute_0_3991,plain,
( multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325) != multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)
| greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))) != identity
| multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325) = multiply(identity,X_325) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_3992,plain,
( greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))) != identity
| multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325) = multiply(identity,X_325) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) )],[refute_0_3990,refute_0_3991]) ).
cnf(refute_0_3993,plain,
multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325) = multiply(identity,X_325),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),identity) )],[refute_0_3941,refute_0_3992]) ).
cnf(refute_0_3994,plain,
( multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325) != multiply(identity,X_325)
| multiply(identity,X_325) != X_325
| multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325) = X_325 ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))),bind(Y0,$fot(multiply(identity,X_325))),bind(Z0,$fot(X_325))]]) ).
cnf(refute_0_3995,plain,
( multiply(identity,X_325) != X_325
| multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325) = X_325 ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325),multiply(identity,X_325)) )],[refute_0_3993,refute_0_3994]) ).
cnf(refute_0_3996,plain,
multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325) = X_325,
inference(resolve,[$cnf( $equal(multiply(identity,X_325),X_325) )],[refute_0_3989,refute_0_3995]) ).
cnf(refute_0_3997,plain,
least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) = least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)),
introduced(tautology,[refl,[$fot(least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)))]]) ).
cnf(refute_0_3998,plain,
( multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325) != X_325
| least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) != least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))
| least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) = least_upper_bound(identity,X_325) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)),least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) ),[1,1],$fot(X_325)]]) ).
cnf(refute_0_3999,plain,
( multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325) != X_325
| least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) = least_upper_bound(identity,X_325) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)),least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) )],[refute_0_3997,refute_0_3998]) ).
cnf(refute_0_4000,plain,
least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) = least_upper_bound(identity,X_325),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325),X_325) )],[refute_0_3996,refute_0_3999]) ).
cnf(refute_0_4001,plain,
least_upper_bound(X_37,least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) = least_upper_bound(X_37,least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))),
introduced(tautology,[refl,[$fot(least_upper_bound(X_37,least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))))]]) ).
cnf(refute_0_4002,plain,
( least_upper_bound(X_37,least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) != least_upper_bound(X_37,least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)))
| least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) != least_upper_bound(identity,X_325)
| least_upper_bound(X_37,least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) = least_upper_bound(X_37,least_upper_bound(identity,X_325)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_37,least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))),least_upper_bound(X_37,least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)))) ),[1,1],$fot(least_upper_bound(identity,X_325))]]) ).
cnf(refute_0_4003,plain,
( least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) != least_upper_bound(identity,X_325)
| least_upper_bound(X_37,least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) = least_upper_bound(X_37,least_upper_bound(identity,X_325)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_37,least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))),least_upper_bound(X_37,least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)))) )],[refute_0_4001,refute_0_4002]) ).
cnf(refute_0_4004,plain,
least_upper_bound(X_37,least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) = least_upper_bound(X_37,least_upper_bound(identity,X_325)),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)),least_upper_bound(identity,X_325)) )],[refute_0_4000,refute_0_4003]) ).
cnf(refute_0_4005,plain,
least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) = least_upper_bound(X_37,least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))),
inference(subst,[],[refute_0_434:[bind(X,$fot(X_37)),bind(Y,$fot(identity)),bind(Z,$fot(multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)))]]) ).
cnf(refute_0_4006,plain,
( least_upper_bound(X_37,least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) != least_upper_bound(X_37,least_upper_bound(identity,X_325))
| least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) != least_upper_bound(X_37,least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)))
| least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) = least_upper_bound(X_37,least_upper_bound(identity,X_325)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)))),bind(Y0,$fot(least_upper_bound(X_37,least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))))),bind(Z0,$fot(least_upper_bound(X_37,least_upper_bound(identity,X_325))))]]) ).
cnf(refute_0_4007,plain,
( least_upper_bound(X_37,least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) != least_upper_bound(X_37,least_upper_bound(identity,X_325))
| least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) = least_upper_bound(X_37,least_upper_bound(identity,X_325)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)),least_upper_bound(X_37,least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)))) )],[refute_0_4005,refute_0_4006]) ).
cnf(refute_0_4008,plain,
least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) = least_upper_bound(X_37,least_upper_bound(identity,X_325)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_37,least_upper_bound(identity,multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))),least_upper_bound(X_37,least_upper_bound(identity,X_325))) )],[refute_0_4004,refute_0_4007]) ).
cnf(refute_0_4009,plain,
least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) = least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))),
introduced(tautology,[refl,[$fot(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))))]]) ).
cnf(refute_0_4010,plain,
( least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) != least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)))
| least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) != least_upper_bound(X_37,least_upper_bound(identity,X_325))
| least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) = least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))),least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)))) ),[1,1],$fot(least_upper_bound(X_37,least_upper_bound(identity,X_325)))]]) ).
cnf(refute_0_4011,plain,
( least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) != least_upper_bound(X_37,least_upper_bound(identity,X_325))
| least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) = least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))),least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)))) )],[refute_0_4009,refute_0_4010]) ).
cnf(refute_0_4012,plain,
least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) = least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325))),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)),least_upper_bound(X_37,least_upper_bound(identity,X_325))) )],[refute_0_4008,refute_0_4011]) ).
cnf(refute_0_4013,plain,
least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) = least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))),
inference(subst,[],[refute_0_434:[bind(X,$fot(X_36)),bind(Y,$fot(least_upper_bound(X_37,identity))),bind(Z,$fot(multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)))]]) ).
cnf(refute_0_4014,plain,
( least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) != least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325)))
| least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) != least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)))
| least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) = least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)))),bind(Y0,$fot(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))))),bind(Z0,$fot(least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325)))))]]) ).
cnf(refute_0_4015,plain,
( least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) != least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325)))
| least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) = least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)),least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)))) )],[refute_0_4013,refute_0_4014]) ).
cnf(refute_0_4016,plain,
least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) = least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_37,identity),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))),least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325)))) )],[refute_0_4012,refute_0_4015]) ).
cnf(refute_0_4017,plain,
( least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))) != least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))
| least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)) != least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325)))
| least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))) = least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))),least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325)))) ),[0],$fot(least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)))]]) ).
cnf(refute_0_4018,plain,
( least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))) != least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))
| least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))) = least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325)),least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325)))) )],[refute_0_4016,refute_0_4017]) ).
cnf(refute_0_4019,plain,
( multiply(identity,least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)) != least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))
| least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))) = least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))),least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) )],[refute_0_3988,refute_0_4018]) ).
cnf(refute_0_4020,plain,
least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))) = least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325))),
inference(resolve,[$cnf( $equal(multiply(identity,least_upper_bound(inverse(greatest_lower_bound(identity,inverse(least_upper_bound(X_36,least_upper_bound(X_37,identity))))),X_325)),least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_37,identity)),multiply(greatest_lower_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,identity))),X_325))) )],[refute_0_3944,refute_0_4019]) ).
cnf(refute_0_4021,plain,
( least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))) != least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325)))
| least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325))) = least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))))),bind(Y0,$fot(least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325)))))]]) ).
cnf(refute_0_4022,plain,
least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325))) = least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_36,least_upper_bound(X_37,X_325))),least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(identity,X_325)))) )],[refute_0_4020,refute_0_4021]) ).
cnf(refute_0_4023,plain,
least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(identity,least_upper_bound(X_399,X_400)))) = least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(X_399,X_400)))),
inference(subst,[],[refute_0_4022:[bind(X_325,$fot(least_upper_bound(X_399,X_400))),bind(X_36,$fot(inverse(least_upper_bound(X_399,identity)))),bind(X_37,$fot(X_38))]]) ).
cnf(refute_0_4024,plain,
( least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(X_399,X_400)))) != least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400)))
| least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(identity,least_upper_bound(X_399,X_400)))) != least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(X_399,X_400))))
| least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(identity,least_upper_bound(X_399,X_400)))) = least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(identity,least_upper_bound(X_399,X_400)))))),bind(Y0,$fot(least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(X_399,X_400)))))),bind(Z0,$fot(least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400)))))]]) ).
cnf(refute_0_4025,plain,
( least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(X_399,X_400)))) != least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400)))
| least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(identity,least_upper_bound(X_399,X_400)))) = least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(identity,least_upper_bound(X_399,X_400)))),least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(X_399,X_400))))) )],[refute_0_4023,refute_0_4024]) ).
cnf(refute_0_4026,plain,
least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(identity,least_upper_bound(X_399,X_400)))) = least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(X_399,X_400)))),least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400)))) )],[refute_0_3935,refute_0_4025]) ).
cnf(refute_0_4027,plain,
least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))) = least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37)),
inference(subst,[],[refute_0_2185:[bind(X_11,$fot(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))]]) ).
cnf(refute_0_4028,plain,
least_upper_bound(X_37,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)) = least_upper_bound(X_37,X_256),
inference(subst,[],[refute_0_3683:[bind(X_11,$fot(X_254)),bind(X_36,$fot(X_37)),bind(X_38,$fot(X_256))]]) ).
cnf(refute_0_4029,plain,
( least_upper_bound(X_37,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)) != least_upper_bound(X_37,X_256)
| least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))) != least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))
| least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,X_256))) = least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))),least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))) ),[0,1,1],$fot(least_upper_bound(X_37,X_256))]]) ).
cnf(refute_0_4030,plain,
( least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))) != least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))
| least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,X_256))) = least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_37,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)),least_upper_bound(X_37,X_256)) )],[refute_0_4028,refute_0_4029]) ).
cnf(refute_0_4031,plain,
least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,X_256))) = least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37)),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))),least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))) )],[refute_0_4027,refute_0_4030]) ).
cnf(refute_0_4032,plain,
least_upper_bound(X_237,least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,X_15)))) = least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237)),
inference(subst,[],[refute_0_1123:[bind(X_15,$fot(least_upper_bound(X_36,least_upper_bound(X_238,X_15)))),bind(X_46,$fot(X_237)),bind(X_47,$fot(X_238))]]) ).
cnf(refute_0_4033,plain,
least_upper_bound(X_36,least_upper_bound(X_238,X_15)) = least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,X_15))),
inference(subst,[],[refute_0_1047:[bind(X_37,$fot(X_238))]]) ).
cnf(refute_0_4034,plain,
( least_upper_bound(X_36,least_upper_bound(X_238,X_15)) != least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,X_15)))
| least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,X_15))) = least_upper_bound(X_36,least_upper_bound(X_238,X_15)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_36,least_upper_bound(X_238,X_15)))),bind(Y0,$fot(least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,X_15)))))]]) ).
cnf(refute_0_4035,plain,
least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,X_15))) = least_upper_bound(X_36,least_upper_bound(X_238,X_15)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,X_15)))) )],[refute_0_4033,refute_0_4034]) ).
cnf(refute_0_4036,plain,
( least_upper_bound(X_237,least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,X_15)))) != least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237))
| least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,X_15))) != least_upper_bound(X_36,least_upper_bound(X_238,X_15))
| least_upper_bound(X_237,least_upper_bound(X_36,least_upper_bound(X_238,X_15))) = least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_237,least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,X_15)))),least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237))) ),[0,1],$fot(least_upper_bound(X_36,least_upper_bound(X_238,X_15)))]]) ).
cnf(refute_0_4037,plain,
( least_upper_bound(X_237,least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,X_15)))) != least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237))
| least_upper_bound(X_237,least_upper_bound(X_36,least_upper_bound(X_238,X_15))) = least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,X_15))),least_upper_bound(X_36,least_upper_bound(X_238,X_15))) )],[refute_0_4035,refute_0_4036]) ).
cnf(refute_0_4038,plain,
least_upper_bound(X_237,least_upper_bound(X_36,least_upper_bound(X_238,X_15))) = least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_237,least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,X_15)))),least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237))) )],[refute_0_4032,refute_0_4037]) ).
cnf(refute_0_4039,plain,
least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))) = least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))),
inference(subst,[],[refute_0_1049:[bind(X_15,$fot(least_upper_bound(X_15,X_237))),bind(X_37,$fot(X_238))]]) ).
cnf(refute_0_4040,plain,
least_upper_bound(least_upper_bound(X_238,X_15),X_237) = least_upper_bound(X_238,least_upper_bound(X_15,X_237)),
inference(subst,[],[refute_0_434:[bind(X,$fot(X_238)),bind(Y,$fot(X_15)),bind(Z,$fot(X_237))]]) ).
cnf(refute_0_4041,plain,
least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_15),X_237)) = least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_15),X_237)),
introduced(tautology,[refl,[$fot(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_15),X_237)))]]) ).
cnf(refute_0_4042,plain,
( least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_15),X_237)) != least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_15),X_237))
| least_upper_bound(least_upper_bound(X_238,X_15),X_237) != least_upper_bound(X_238,least_upper_bound(X_15,X_237))
| least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_15),X_237)) = least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_15),X_237)),least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_15),X_237))) ),[1,1],$fot(least_upper_bound(X_238,least_upper_bound(X_15,X_237)))]]) ).
cnf(refute_0_4043,plain,
( least_upper_bound(least_upper_bound(X_238,X_15),X_237) != least_upper_bound(X_238,least_upper_bound(X_15,X_237))
| least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_15),X_237)) = least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_15),X_237)),least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_15),X_237))) )],[refute_0_4041,refute_0_4042]) ).
cnf(refute_0_4044,plain,
least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_15),X_237)) = least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_238,X_15),X_237),least_upper_bound(X_238,least_upper_bound(X_15,X_237))) )],[refute_0_4040,refute_0_4043]) ).
cnf(refute_0_4045,plain,
least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237) = least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_15),X_237)),
inference(subst,[],[refute_0_434:[bind(X,$fot(X_36)),bind(Y,$fot(least_upper_bound(X_238,X_15))),bind(Z,$fot(X_237))]]) ).
cnf(refute_0_4046,plain,
( least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_15),X_237)) != least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))
| least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237) != least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_15),X_237))
| least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237) = least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237))),bind(Y0,$fot(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_15),X_237)))),bind(Z0,$fot(least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))))]]) ).
cnf(refute_0_4047,plain,
( least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_15),X_237)) != least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))
| least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237) = least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237),least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_15),X_237))) )],[refute_0_4045,refute_0_4046]) ).
cnf(refute_0_4048,plain,
least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237) = least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_15),X_237)),least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))) )],[refute_0_4044,refute_0_4047]) ).
cnf(refute_0_4049,plain,
least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237)) = least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237)),
introduced(tautology,[refl,[$fot(least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237)))]]) ).
cnf(refute_0_4050,plain,
( least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237)) != least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237))
| least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237) != least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))
| least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237)) = least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237)),least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237))) ),[1,1],$fot(least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))))]]) ).
cnf(refute_0_4051,plain,
( least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237) != least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))
| least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237)) = least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237)),least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237))) )],[refute_0_4049,refute_0_4050]) ).
cnf(refute_0_4052,plain,
least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237)) = least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237),least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))) )],[refute_0_4048,refute_0_4051]) ).
cnf(refute_0_4053,plain,
( least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))) != least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))
| least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237)) != least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))))
| least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237)) = least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237)))),bind(Y0,$fot(least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))))),bind(Z0,$fot(least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))))]]) ).
cnf(refute_0_4054,plain,
( least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))) != least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))
| least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237)) = least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237)),least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))))) )],[refute_0_4052,refute_0_4053]) ).
cnf(refute_0_4055,plain,
least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237)) = least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_238,least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))),least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))) )],[refute_0_4039,refute_0_4054]) ).
cnf(refute_0_4056,plain,
least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237)) = least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237)),
inference(subst,[],[refute_0_2197:[bind(X_15,$fot(X_237)),bind(X_47,$fot(least_upper_bound(X_36,least_upper_bound(X_238,X_15)))),bind(X_48,$fot(X_238))]]) ).
cnf(refute_0_4057,plain,
( least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237)) != least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))
| least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237)) != least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237))
| least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237)) = least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237)))),bind(Y0,$fot(least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237)))),bind(Z0,$fot(least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))))]]) ).
cnf(refute_0_4058,plain,
( least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237)) != least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))
| least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237)) = least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237)),least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237))) )],[refute_0_4056,refute_0_4057]) ).
cnf(refute_0_4059,plain,
least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237)) = least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_238,least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),X_237)),least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))) )],[refute_0_4055,refute_0_4058]) ).
cnf(refute_0_4060,plain,
( least_upper_bound(X_237,least_upper_bound(X_36,least_upper_bound(X_238,X_15))) != least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237))
| least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237)) != least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))
| least_upper_bound(X_237,least_upper_bound(X_36,least_upper_bound(X_238,X_15))) = least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(X_237,least_upper_bound(X_36,least_upper_bound(X_238,X_15))),least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))) ),[0],$fot(least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237)))]]) ).
cnf(refute_0_4061,plain,
( least_upper_bound(X_237,least_upper_bound(X_36,least_upper_bound(X_238,X_15))) != least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237))
| least_upper_bound(X_237,least_upper_bound(X_36,least_upper_bound(X_238,X_15))) = least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237)),least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))) )],[refute_0_4059,refute_0_4060]) ).
cnf(refute_0_4062,plain,
least_upper_bound(X_237,least_upper_bound(X_36,least_upper_bound(X_238,X_15))) = least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_237,least_upper_bound(X_36,least_upper_bound(X_238,X_15))),least_upper_bound(least_upper_bound(X_36,least_upper_bound(X_238,X_15)),least_upper_bound(X_238,X_237))) )],[refute_0_4038,refute_0_4061]) ).
cnf(refute_0_4063,plain,
least_upper_bound(greatest_lower_bound(X_254,X_37),least_upper_bound(X_37,least_upper_bound(X_256,X_36))) = least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))),
inference(subst,[],[refute_0_4062:[bind(X_15,$fot(X_36)),bind(X_237,$fot(greatest_lower_bound(X_254,X_37))),bind(X_238,$fot(X_256)),bind(X_36,$fot(X_37))]]) ).
cnf(refute_0_4064,plain,
least_upper_bound(X_256,least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))) = least_upper_bound(greatest_lower_bound(X_254,X_37),least_upper_bound(X_37,least_upper_bound(X_256,X_36))),
inference(subst,[],[refute_0_3510:[bind(X,$fot(greatest_lower_bound(X_254,X_37))),bind(Y,$fot(X_256)),bind(X_101,$fot(X_36)),bind(X_102,$fot(X_37))]]) ).
cnf(refute_0_4065,plain,
( least_upper_bound(X_256,least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))) != least_upper_bound(greatest_lower_bound(X_254,X_37),least_upper_bound(X_37,least_upper_bound(X_256,X_36)))
| least_upper_bound(greatest_lower_bound(X_254,X_37),least_upper_bound(X_37,least_upper_bound(X_256,X_36))) != least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37))))
| least_upper_bound(X_256,least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))) = least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(X_256,least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))))),bind(Y0,$fot(least_upper_bound(greatest_lower_bound(X_254,X_37),least_upper_bound(X_37,least_upper_bound(X_256,X_36))))),bind(Z0,$fot(least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37))))))]]) ).
cnf(refute_0_4066,plain,
( least_upper_bound(greatest_lower_bound(X_254,X_37),least_upper_bound(X_37,least_upper_bound(X_256,X_36))) != least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37))))
| least_upper_bound(X_256,least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))) = least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_256,least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))),least_upper_bound(greatest_lower_bound(X_254,X_37),least_upper_bound(X_37,least_upper_bound(X_256,X_36)))) )],[refute_0_4064,refute_0_4065]) ).
cnf(refute_0_4067,plain,
least_upper_bound(X_256,least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))) = least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_254,X_37),least_upper_bound(X_37,least_upper_bound(X_256,X_36))),least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37))))) )],[refute_0_4063,refute_0_4066]) ).
cnf(refute_0_4068,plain,
least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_236),X_11))) = least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_238,X_236))),
inference(subst,[],[refute_0_2185:[bind(X_37,$fot(least_upper_bound(X_238,X_236)))]]) ).
cnf(refute_0_4069,plain,
least_upper_bound(X_36,least_upper_bound(X_238,X_236)) = least_upper_bound(X_236,least_upper_bound(X_238,X_36)),
inference(subst,[],[refute_0_1123:[bind(X_15,$fot(X_236)),bind(X_46,$fot(X_36)),bind(X_47,$fot(X_238))]]) ).
cnf(refute_0_4070,plain,
( least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_236),X_11))) != least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_238,X_236)))
| least_upper_bound(X_36,least_upper_bound(X_238,X_236)) != least_upper_bound(X_236,least_upper_bound(X_238,X_36))
| least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_236),X_11))) = least_upper_bound(X_11,least_upper_bound(X_236,least_upper_bound(X_238,X_36))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_236),X_11))),least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_238,X_236)))) ),[1,1],$fot(least_upper_bound(X_236,least_upper_bound(X_238,X_36)))]]) ).
cnf(refute_0_4071,plain,
( least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_236),X_11))) != least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_238,X_236)))
| least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_236),X_11))) = least_upper_bound(X_11,least_upper_bound(X_236,least_upper_bound(X_238,X_36))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_36,least_upper_bound(X_238,X_236)),least_upper_bound(X_236,least_upper_bound(X_238,X_36))) )],[refute_0_4069,refute_0_4070]) ).
cnf(refute_0_4072,plain,
least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_236),X_11))) = least_upper_bound(X_11,least_upper_bound(X_236,least_upper_bound(X_238,X_36))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_236),X_11))),least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_238,X_236)))) )],[refute_0_4068,refute_0_4071]) ).
cnf(refute_0_4073,plain,
( least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_236),X_11))) != least_upper_bound(X_11,least_upper_bound(X_236,least_upper_bound(X_238,X_36)))
| least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_236),X_11))) != least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_238,X_236)))
| least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_238,X_236))) = least_upper_bound(X_11,least_upper_bound(X_236,least_upper_bound(X_238,X_36))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_236),X_11))),least_upper_bound(X_11,least_upper_bound(X_236,least_upper_bound(X_238,X_36)))) ),[0],$fot(least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_238,X_236))))]]) ).
cnf(refute_0_4074,plain,
( least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_236),X_11))) != least_upper_bound(X_11,least_upper_bound(X_236,least_upper_bound(X_238,X_36)))
| least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_238,X_236))) = least_upper_bound(X_11,least_upper_bound(X_236,least_upper_bound(X_238,X_36))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_236),X_11))),least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_238,X_236)))) )],[refute_0_4068,refute_0_4073]) ).
cnf(refute_0_4075,plain,
least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_238,X_236))) = least_upper_bound(X_11,least_upper_bound(X_236,least_upper_bound(X_238,X_36))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(least_upper_bound(X_238,X_236),X_11))),least_upper_bound(X_11,least_upper_bound(X_236,least_upper_bound(X_238,X_36)))) )],[refute_0_4072,refute_0_4074]) ).
cnf(refute_0_4076,plain,
( least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_238,X_236))) != least_upper_bound(X_11,least_upper_bound(X_236,least_upper_bound(X_238,X_36)))
| least_upper_bound(X_11,least_upper_bound(X_236,least_upper_bound(X_238,X_36))) = least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_238,X_236))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_238,X_236))))),bind(Y0,$fot(least_upper_bound(X_11,least_upper_bound(X_236,least_upper_bound(X_238,X_36)))))]]) ).
cnf(refute_0_4077,plain,
least_upper_bound(X_11,least_upper_bound(X_236,least_upper_bound(X_238,X_36))) = least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_238,X_236))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_11,least_upper_bound(X_36,least_upper_bound(X_238,X_236))),least_upper_bound(X_11,least_upper_bound(X_236,least_upper_bound(X_238,X_36)))) )],[refute_0_4075,refute_0_4076]) ).
cnf(refute_0_4078,plain,
least_upper_bound(X_256,least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))) = least_upper_bound(X_256,least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))),
inference(subst,[],[refute_0_4077:[bind(X_11,$fot(X_256)),bind(X_236,$fot(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256))),bind(X_238,$fot(X_36)),bind(X_36,$fot(X_37))]]) ).
cnf(refute_0_4079,plain,
( least_upper_bound(X_256,least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))) != least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37))))
| least_upper_bound(X_256,least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))) != least_upper_bound(X_256,least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256))))
| least_upper_bound(X_256,least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))) = least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(X_256,least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))))),bind(Y0,$fot(least_upper_bound(X_256,least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))))),bind(Z0,$fot(least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37))))))]]) ).
cnf(refute_0_4080,plain,
( least_upper_bound(X_256,least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))) != least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37))))
| least_upper_bound(X_256,least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))) = least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_256,least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))),least_upper_bound(X_256,least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256))))) )],[refute_0_4078,refute_0_4079]) ).
cnf(refute_0_4081,plain,
least_upper_bound(X_256,least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))) = least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_256,least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))),least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37))))) )],[refute_0_4067,refute_0_4080]) ).
cnf(refute_0_4082,plain,
( least_upper_bound(X_237,least_upper_bound(X_36,least_upper_bound(X_238,X_15))) != least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))
| least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))) = least_upper_bound(X_237,least_upper_bound(X_36,least_upper_bound(X_238,X_15))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_237,least_upper_bound(X_36,least_upper_bound(X_238,X_15))))),bind(Y0,$fot(least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))))]]) ).
cnf(refute_0_4083,plain,
least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237))) = least_upper_bound(X_237,least_upper_bound(X_36,least_upper_bound(X_238,X_15))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_237,least_upper_bound(X_36,least_upper_bound(X_238,X_15))),least_upper_bound(X_36,least_upper_bound(X_238,least_upper_bound(X_15,X_237)))) )],[refute_0_4062,refute_0_4082]) ).
cnf(refute_0_4084,plain,
least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,X_256))) = least_upper_bound(X_256,least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))),
inference(subst,[],[refute_0_4083:[bind(X_15,$fot(X_37)),bind(X_237,$fot(X_256)),bind(X_238,$fot(X_36)),bind(X_36,$fot(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))]]) ).
cnf(refute_0_4085,plain,
( least_upper_bound(X_256,least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))) != least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37))))
| least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,X_256))) != least_upper_bound(X_256,least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37)))
| least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,X_256))) = least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,X_256))))),bind(Y0,$fot(least_upper_bound(X_256,least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))))),bind(Z0,$fot(least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37))))))]]) ).
cnf(refute_0_4086,plain,
( least_upper_bound(X_256,least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))) != least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37))))
| least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,X_256))) = least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,X_256))),least_upper_bound(X_256,least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37)))) )],[refute_0_4084,refute_0_4085]) ).
cnf(refute_0_4087,plain,
least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,X_256))) = least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_256,least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))),least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37))))) )],[refute_0_4081,refute_0_4086]) ).
cnf(refute_0_4088,plain,
( least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,X_256))) != least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37))))
| least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,X_256))) != least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))
| least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))) = least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,X_256))),least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))) ),[0],$fot(least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))))]]) ).
cnf(refute_0_4089,plain,
( least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,X_256))) != least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))
| least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))) = least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,X_256))),least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37))))) )],[refute_0_4087,refute_0_4088]) ).
cnf(refute_0_4090,plain,
least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37)) = least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256))),
inference(subst,[],[refute_0_3545:[bind(X_11,$fot(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256))),bind(X_232,$fot(X_37))]]) ).
cnf(refute_0_4091,plain,
( least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))) != least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))
| least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37)) != least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))
| least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))) = least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))),least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))) ),[0],$fot(least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37)))]]) ).
cnf(refute_0_4092,plain,
( least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))) != least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))
| least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))) = least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37)),least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))) )],[refute_0_4090,refute_0_4091]) ).
cnf(refute_0_4093,plain,
( least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,X_256))) != least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))
| least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))) = least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))),least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))) )],[refute_0_4089,refute_0_4092]) ).
cnf(refute_0_4094,plain,
least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))) = least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256))),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,least_upper_bound(X_37,X_256))),least_upper_bound(least_upper_bound(greatest_lower_bound(X_254,X_37),X_256),least_upper_bound(X_36,X_37))) )],[refute_0_4031,refute_0_4093]) ).
cnf(refute_0_4095,plain,
least_upper_bound(X_255,least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255))))) = least_upper_bound(X_255,least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255)))),
inference(subst,[],[refute_0_3683:[bind(X_11,$fot(X_254)),bind(X_36,$fot(X_255)),bind(X_38,$fot(least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255)))))]]) ).
cnf(refute_0_4096,plain,
least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255)))) = least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,X_37)),
inference(subst,[],[refute_0_2185:[bind(X_11,$fot(greatest_lower_bound(X_254,X_255)))]]) ).
cnf(refute_0_4097,plain,
( least_upper_bound(X_255,least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255))))) != least_upper_bound(X_255,least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255))))
| least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255)))) != least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,X_37))
| least_upper_bound(X_255,least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,X_37))) = least_upper_bound(X_255,least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255)))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_255,least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255))))),least_upper_bound(X_255,least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255))))) ),[0,1],$fot(least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,X_37)))]]) ).
cnf(refute_0_4098,plain,
( least_upper_bound(X_255,least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255))))) != least_upper_bound(X_255,least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255))))
| least_upper_bound(X_255,least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,X_37))) = least_upper_bound(X_255,least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255)))),least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,X_37))) )],[refute_0_4096,refute_0_4097]) ).
cnf(refute_0_4099,plain,
least_upper_bound(X_255,least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,X_37))) = least_upper_bound(X_255,least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255)))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_255,least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255))))),least_upper_bound(X_255,least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255))))) )],[refute_0_4095,refute_0_4098]) ).
cnf(refute_0_4100,plain,
least_upper_bound(X_255,least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,X_37))) = least_upper_bound(X_255,least_upper_bound(X_36,X_37)),
inference(subst,[],[refute_0_3683:[bind(X_11,$fot(X_254)),bind(X_36,$fot(X_255)),bind(X_38,$fot(least_upper_bound(X_36,X_37)))]]) ).
cnf(refute_0_4101,plain,
( least_upper_bound(X_255,least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,X_37))) != least_upper_bound(X_255,least_upper_bound(X_36,X_37))
| least_upper_bound(X_255,least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,X_37))) != least_upper_bound(X_255,least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255))))
| least_upper_bound(X_255,least_upper_bound(X_36,X_37)) = least_upper_bound(X_255,least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255)))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_255,least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,X_37))),least_upper_bound(X_255,least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255))))) ),[0],$fot(least_upper_bound(X_255,least_upper_bound(X_36,X_37)))]]) ).
cnf(refute_0_4102,plain,
( least_upper_bound(X_255,least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,X_37))) != least_upper_bound(X_255,least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255))))
| least_upper_bound(X_255,least_upper_bound(X_36,X_37)) = least_upper_bound(X_255,least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_255,least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,X_37))),least_upper_bound(X_255,least_upper_bound(X_36,X_37))) )],[refute_0_4100,refute_0_4101]) ).
cnf(refute_0_4103,plain,
least_upper_bound(X_255,least_upper_bound(X_36,X_37)) = least_upper_bound(X_255,least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255)))),
inference(resolve,[$cnf( $equal(least_upper_bound(X_255,least_upper_bound(greatest_lower_bound(X_254,X_255),least_upper_bound(X_36,X_37))),least_upper_bound(X_255,least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255))))) )],[refute_0_4099,refute_0_4102]) ).
cnf(refute_0_4104,plain,
( least_upper_bound(X_255,least_upper_bound(X_36,X_37)) != least_upper_bound(X_255,least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255))))
| least_upper_bound(X_255,least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255)))) = least_upper_bound(X_255,least_upper_bound(X_36,X_37)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_255,least_upper_bound(X_36,X_37)))),bind(Y0,$fot(least_upper_bound(X_255,least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255))))))]]) ).
cnf(refute_0_4105,plain,
least_upper_bound(X_255,least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255)))) = least_upper_bound(X_255,least_upper_bound(X_36,X_37)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_255,least_upper_bound(X_36,X_37)),least_upper_bound(X_255,least_upper_bound(X_36,least_upper_bound(X_37,greatest_lower_bound(X_254,X_255))))) )],[refute_0_4103,refute_0_4104]) ).
cnf(refute_0_4106,plain,
least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))) = least_upper_bound(X_37,least_upper_bound(X_256,X_36)),
inference(subst,[],[refute_0_4105:[bind(X_255,$fot(X_37)),bind(X_36,$fot(X_256)),bind(X_37,$fot(X_36))]]) ).
cnf(refute_0_4107,plain,
( least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))) != least_upper_bound(X_37,least_upper_bound(X_256,X_36))
| least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))) != least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))
| least_upper_bound(X_37,least_upper_bound(X_256,X_36)) = least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))),least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))) ),[0],$fot(least_upper_bound(X_37,least_upper_bound(X_256,X_36)))]]) ).
cnf(refute_0_4108,plain,
( least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))) != least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))
| least_upper_bound(X_37,least_upper_bound(X_256,X_36)) = least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))),least_upper_bound(X_37,least_upper_bound(X_256,X_36))) )],[refute_0_4106,refute_0_4107]) ).
cnf(refute_0_4109,plain,
least_upper_bound(X_15,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_15),X_256))) = least_upper_bound(X_36,least_upper_bound(X_15,least_upper_bound(greatest_lower_bound(X_254,X_15),X_256))),
inference(subst,[],[refute_0_1065:[bind(X_38,$fot(least_upper_bound(greatest_lower_bound(X_254,X_15),X_256)))]]) ).
cnf(refute_0_4110,plain,
least_upper_bound(X_15,least_upper_bound(greatest_lower_bound(X_254,X_15),X_256)) = least_upper_bound(X_15,X_256),
inference(subst,[],[refute_0_3683:[bind(X_11,$fot(X_254)),bind(X_36,$fot(X_15)),bind(X_38,$fot(X_256))]]) ).
cnf(refute_0_4111,plain,
( least_upper_bound(X_15,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_15),X_256))) != least_upper_bound(X_36,least_upper_bound(X_15,least_upper_bound(greatest_lower_bound(X_254,X_15),X_256)))
| least_upper_bound(X_15,least_upper_bound(greatest_lower_bound(X_254,X_15),X_256)) != least_upper_bound(X_15,X_256)
| least_upper_bound(X_15,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_15),X_256))) = least_upper_bound(X_36,least_upper_bound(X_15,X_256)) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(X_15,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_15),X_256))),least_upper_bound(X_36,least_upper_bound(X_15,least_upper_bound(greatest_lower_bound(X_254,X_15),X_256)))) ),[1,1],$fot(least_upper_bound(X_15,X_256))]]) ).
cnf(refute_0_4112,plain,
( least_upper_bound(X_15,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_15),X_256))) != least_upper_bound(X_36,least_upper_bound(X_15,least_upper_bound(greatest_lower_bound(X_254,X_15),X_256)))
| least_upper_bound(X_15,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_15),X_256))) = least_upper_bound(X_36,least_upper_bound(X_15,X_256)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_15,least_upper_bound(greatest_lower_bound(X_254,X_15),X_256)),least_upper_bound(X_15,X_256)) )],[refute_0_4110,refute_0_4111]) ).
cnf(refute_0_4113,plain,
least_upper_bound(X_15,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_15),X_256))) = least_upper_bound(X_36,least_upper_bound(X_15,X_256)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_15,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_15),X_256))),least_upper_bound(X_36,least_upper_bound(X_15,least_upper_bound(greatest_lower_bound(X_254,X_15),X_256)))) )],[refute_0_4109,refute_0_4112]) ).
cnf(refute_0_4114,plain,
least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256))) = least_upper_bound(X_36,least_upper_bound(X_37,X_256)),
inference(subst,[],[refute_0_4113:[bind(X_15,$fot(X_37))]]) ).
cnf(refute_0_4115,plain,
( least_upper_bound(X_37,least_upper_bound(X_256,X_36)) != least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))
| least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256))) != least_upper_bound(X_36,least_upper_bound(X_37,X_256))
| least_upper_bound(X_37,least_upper_bound(X_256,X_36)) = least_upper_bound(X_36,least_upper_bound(X_37,X_256)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(X_37,least_upper_bound(X_256,X_36)),least_upper_bound(X_36,least_upper_bound(X_37,X_256))) ),[0],$fot(least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256))))]]) ).
cnf(refute_0_4116,plain,
( least_upper_bound(X_37,least_upper_bound(X_256,X_36)) != least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))
| least_upper_bound(X_37,least_upper_bound(X_256,X_36)) = least_upper_bound(X_36,least_upper_bound(X_37,X_256)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256))),least_upper_bound(X_36,least_upper_bound(X_37,X_256))) )],[refute_0_4114,refute_0_4115]) ).
cnf(refute_0_4117,plain,
( least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))) != least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))
| least_upper_bound(X_37,least_upper_bound(X_256,X_36)) = least_upper_bound(X_36,least_upper_bound(X_37,X_256)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_37,least_upper_bound(X_256,X_36)),least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))) )],[refute_0_4108,refute_0_4116]) ).
cnf(refute_0_4118,plain,
least_upper_bound(X_37,least_upper_bound(X_256,X_36)) = least_upper_bound(X_36,least_upper_bound(X_37,X_256)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_37,least_upper_bound(X_256,least_upper_bound(X_36,greatest_lower_bound(X_254,X_37)))),least_upper_bound(X_37,least_upper_bound(X_36,least_upper_bound(greatest_lower_bound(X_254,X_37),X_256)))) )],[refute_0_4094,refute_0_4117]) ).
cnf(refute_0_4119,plain,
( least_upper_bound(X_37,least_upper_bound(X_256,X_36)) != least_upper_bound(X_36,least_upper_bound(X_37,X_256))
| least_upper_bound(X_36,least_upper_bound(X_37,X_256)) = least_upper_bound(X_37,least_upper_bound(X_256,X_36)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(least_upper_bound(X_37,least_upper_bound(X_256,X_36)))),bind(Y0,$fot(least_upper_bound(X_36,least_upper_bound(X_37,X_256))))]]) ).
cnf(refute_0_4120,plain,
least_upper_bound(X_36,least_upper_bound(X_37,X_256)) = least_upper_bound(X_37,least_upper_bound(X_256,X_36)),
inference(resolve,[$cnf( $equal(least_upper_bound(X_37,least_upper_bound(X_256,X_36)),least_upper_bound(X_36,least_upper_bound(X_37,X_256))) )],[refute_0_4118,refute_0_4119]) ).
cnf(refute_0_4121,plain,
least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(inverse(least_upper_bound(X_399,identity)),X_38)) = least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(identity,least_upper_bound(X_399,X_400)))),
inference(subst,[],[refute_0_4120:[bind(X_256,$fot(X_38)),bind(X_36,$fot(least_upper_bound(identity,least_upper_bound(X_399,X_400)))),bind(X_37,$fot(inverse(least_upper_bound(X_399,identity))))]]) ).
cnf(refute_0_4122,plain,
( least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(identity,least_upper_bound(X_399,X_400)))) != least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400)))
| least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(inverse(least_upper_bound(X_399,identity)),X_38)) != least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(identity,least_upper_bound(X_399,X_400))))
| least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(inverse(least_upper_bound(X_399,identity)),X_38)) = least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(inverse(least_upper_bound(X_399,identity)),X_38)))),bind(Y0,$fot(least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(identity,least_upper_bound(X_399,X_400)))))),bind(Z0,$fot(least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400)))))]]) ).
cnf(refute_0_4123,plain,
( least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(identity,least_upper_bound(X_399,X_400)))) != least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400)))
| least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(inverse(least_upper_bound(X_399,identity)),X_38)) = least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(inverse(least_upper_bound(X_399,identity)),X_38)),least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(identity,least_upper_bound(X_399,X_400))))) )],[refute_0_4121,refute_0_4122]) ).
cnf(refute_0_4124,plain,
least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(inverse(least_upper_bound(X_399,identity)),X_38)) = least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(least_upper_bound(X_399,identity)),least_upper_bound(X_38,least_upper_bound(identity,least_upper_bound(X_399,X_400)))),least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400)))) )],[refute_0_4026,refute_0_4123]) ).
cnf(refute_0_4125,plain,
( least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(inverse(least_upper_bound(X_399,identity)),X_38)) != least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400)))
| least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(inverse(least_upper_bound(X_399,identity)),X_38)) != least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38)
| least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))) = least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(inverse(least_upper_bound(X_399,identity)),X_38)),least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38)) ),[0],$fot(least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))))]]) ).
cnf(refute_0_4126,plain,
( least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(inverse(least_upper_bound(X_399,identity)),X_38)) != least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38)
| least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))) = least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(inverse(least_upper_bound(X_399,identity)),X_38)),least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400)))) )],[refute_0_4124,refute_0_4125]) ).
cnf(refute_0_4127,plain,
least_upper_bound(least_upper_bound(X_399,X_400),X_38) = least_upper_bound(X_399,least_upper_bound(X_400,X_38)),
inference(subst,[],[refute_0_434:[bind(X,$fot(X_399)),bind(Y,$fot(X_400)),bind(Z,$fot(X_38))]]) ).
cnf(refute_0_4128,plain,
least_upper_bound(identity,least_upper_bound(least_upper_bound(X_399,X_400),X_38)) = least_upper_bound(identity,least_upper_bound(least_upper_bound(X_399,X_400),X_38)),
introduced(tautology,[refl,[$fot(least_upper_bound(identity,least_upper_bound(least_upper_bound(X_399,X_400),X_38)))]]) ).
cnf(refute_0_4129,plain,
( least_upper_bound(identity,least_upper_bound(least_upper_bound(X_399,X_400),X_38)) != least_upper_bound(identity,least_upper_bound(least_upper_bound(X_399,X_400),X_38))
| least_upper_bound(least_upper_bound(X_399,X_400),X_38) != least_upper_bound(X_399,least_upper_bound(X_400,X_38))
| least_upper_bound(identity,least_upper_bound(least_upper_bound(X_399,X_400),X_38)) = least_upper_bound(identity,least_upper_bound(X_399,least_upper_bound(X_400,X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(least_upper_bound(X_399,X_400),X_38)),least_upper_bound(identity,least_upper_bound(least_upper_bound(X_399,X_400),X_38))) ),[1,1],$fot(least_upper_bound(X_399,least_upper_bound(X_400,X_38)))]]) ).
cnf(refute_0_4130,plain,
( least_upper_bound(least_upper_bound(X_399,X_400),X_38) != least_upper_bound(X_399,least_upper_bound(X_400,X_38))
| least_upper_bound(identity,least_upper_bound(least_upper_bound(X_399,X_400),X_38)) = least_upper_bound(identity,least_upper_bound(X_399,least_upper_bound(X_400,X_38))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(least_upper_bound(X_399,X_400),X_38)),least_upper_bound(identity,least_upper_bound(least_upper_bound(X_399,X_400),X_38))) )],[refute_0_4128,refute_0_4129]) ).
cnf(refute_0_4131,plain,
least_upper_bound(identity,least_upper_bound(least_upper_bound(X_399,X_400),X_38)) = least_upper_bound(identity,least_upper_bound(X_399,least_upper_bound(X_400,X_38))),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_399,X_400),X_38),least_upper_bound(X_399,least_upper_bound(X_400,X_38))) )],[refute_0_4127,refute_0_4130]) ).
cnf(refute_0_4132,plain,
least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38) = least_upper_bound(identity,least_upper_bound(least_upper_bound(X_399,X_400),X_38)),
inference(subst,[],[refute_0_434:[bind(X,$fot(identity)),bind(Y,$fot(least_upper_bound(X_399,X_400))),bind(Z,$fot(X_38))]]) ).
cnf(refute_0_4133,plain,
( least_upper_bound(identity,least_upper_bound(least_upper_bound(X_399,X_400),X_38)) != least_upper_bound(identity,least_upper_bound(X_399,least_upper_bound(X_400,X_38)))
| least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38) != least_upper_bound(identity,least_upper_bound(least_upper_bound(X_399,X_400),X_38))
| least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38) = least_upper_bound(identity,least_upper_bound(X_399,least_upper_bound(X_400,X_38))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38))),bind(Y0,$fot(least_upper_bound(identity,least_upper_bound(least_upper_bound(X_399,X_400),X_38)))),bind(Z0,$fot(least_upper_bound(identity,least_upper_bound(X_399,least_upper_bound(X_400,X_38)))))]]) ).
cnf(refute_0_4134,plain,
( least_upper_bound(identity,least_upper_bound(least_upper_bound(X_399,X_400),X_38)) != least_upper_bound(identity,least_upper_bound(X_399,least_upper_bound(X_400,X_38)))
| least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38) = least_upper_bound(identity,least_upper_bound(X_399,least_upper_bound(X_400,X_38))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38),least_upper_bound(identity,least_upper_bound(least_upper_bound(X_399,X_400),X_38))) )],[refute_0_4132,refute_0_4133]) ).
cnf(refute_0_4135,plain,
least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38) = least_upper_bound(identity,least_upper_bound(X_399,least_upper_bound(X_400,X_38))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(least_upper_bound(X_399,X_400),X_38)),least_upper_bound(identity,least_upper_bound(X_399,least_upper_bound(X_400,X_38)))) )],[refute_0_4131,refute_0_4134]) ).
cnf(refute_0_4136,plain,
( least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))) != least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38)
| least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38) != least_upper_bound(identity,least_upper_bound(X_399,least_upper_bound(X_400,X_38)))
| least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))) = least_upper_bound(identity,least_upper_bound(X_399,least_upper_bound(X_400,X_38))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))),least_upper_bound(identity,least_upper_bound(X_399,least_upper_bound(X_400,X_38)))) ),[0],$fot(least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38))]]) ).
cnf(refute_0_4137,plain,
( least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))) != least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38)
| least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))) = least_upper_bound(identity,least_upper_bound(X_399,least_upper_bound(X_400,X_38))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38),least_upper_bound(identity,least_upper_bound(X_399,least_upper_bound(X_400,X_38)))) )],[refute_0_4135,refute_0_4136]) ).
cnf(refute_0_4138,plain,
( least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(inverse(least_upper_bound(X_399,identity)),X_38)) != least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38)
| least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))) = least_upper_bound(identity,least_upper_bound(X_399,least_upper_bound(X_400,X_38))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))),least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38)) )],[refute_0_4126,refute_0_4137]) ).
cnf(refute_0_4139,plain,
least_upper_bound(identity,least_upper_bound(X_38,least_upper_bound(X_399,X_400))) = least_upper_bound(identity,least_upper_bound(X_399,least_upper_bound(X_400,X_38))),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),least_upper_bound(inverse(least_upper_bound(X_399,identity)),X_38)),least_upper_bound(least_upper_bound(identity,least_upper_bound(X_399,X_400)),X_38)) )],[refute_0_3688,refute_0_4138]) ).
cnf(refute_0_4140,plain,
least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(X_15,X_269))) = least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity))))),
inference(subst,[],[refute_0_4139:[bind(X_38,$fot(inverse(least_upper_bound(X_15,identity)))),bind(X_399,$fot(X_15)),bind(X_400,$fot(X_269))]]) ).
cnf(refute_0_4141,plain,
least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))) = least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(X_15,X_269))),
inference(subst,[],[refute_0_4120:[bind(X_256,$fot(inverse(least_upper_bound(X_15,identity)))),bind(X_36,$fot(least_upper_bound(X_15,X_269))),bind(X_37,$fot(identity))]]) ).
cnf(refute_0_4142,plain,
( least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(X_15,X_269))) != least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity)))))
| least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))) != least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(X_15,X_269)))
| least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))) = least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity))))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))))),bind(Y0,$fot(least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(X_15,X_269))))),bind(Z0,$fot(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity)))))))]]) ).
cnf(refute_0_4143,plain,
( least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(X_15,X_269))) != least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity)))))
| least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))) = least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity))))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))),least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(X_15,X_269)))) )],[refute_0_4141,refute_0_4142]) ).
cnf(refute_0_4144,plain,
least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))) = least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity))))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(X_15,identity)),least_upper_bound(X_15,X_269))),least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity)))))) )],[refute_0_4140,refute_0_4143]) ).
cnf(refute_0_4145,plain,
( least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))) != least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity)))))
| least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))) != least_upper_bound(least_upper_bound(X_15,X_269),identity)
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity))))) = least_upper_bound(least_upper_bound(X_15,X_269),identity) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))),least_upper_bound(least_upper_bound(X_15,X_269),identity)) ),[0],$fot(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity))))))]]) ).
cnf(refute_0_4146,plain,
( least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))) != least_upper_bound(least_upper_bound(X_15,X_269),identity)
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity))))) = least_upper_bound(least_upper_bound(X_15,X_269),identity) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))),least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity)))))) )],[refute_0_4144,refute_0_4145]) ).
cnf(refute_0_4147,plain,
least_upper_bound(least_upper_bound(X_15,X_269),identity) = least_upper_bound(identity,least_upper_bound(X_15,X_269)),
inference(subst,[],[refute_0_3908:[bind(X_78,$fot(least_upper_bound(X_15,X_269)))]]) ).
cnf(refute_0_4148,plain,
( least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity))))) != least_upper_bound(least_upper_bound(X_15,X_269),identity)
| least_upper_bound(least_upper_bound(X_15,X_269),identity) != least_upper_bound(identity,least_upper_bound(X_15,X_269))
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity))))) = least_upper_bound(identity,least_upper_bound(X_15,X_269)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity))))),least_upper_bound(identity,least_upper_bound(X_15,X_269))) ),[0],$fot(least_upper_bound(least_upper_bound(X_15,X_269),identity))]]) ).
cnf(refute_0_4149,plain,
( least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity))))) != least_upper_bound(least_upper_bound(X_15,X_269),identity)
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity))))) = least_upper_bound(identity,least_upper_bound(X_15,X_269)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_15,X_269),identity),least_upper_bound(identity,least_upper_bound(X_15,X_269))) )],[refute_0_4147,refute_0_4148]) ).
cnf(refute_0_4150,plain,
( least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))) != least_upper_bound(least_upper_bound(X_15,X_269),identity)
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity))))) = least_upper_bound(identity,least_upper_bound(X_15,X_269)) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity))))),least_upper_bound(least_upper_bound(X_15,X_269),identity)) )],[refute_0_4146,refute_0_4149]) ).
cnf(refute_0_4151,plain,
least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(X_269,inverse(least_upper_bound(X_15,identity))))) = least_upper_bound(identity,least_upper_bound(X_15,X_269)),
inference(resolve,[$cnf( $equal(least_upper_bound(least_upper_bound(X_15,X_269),least_upper_bound(identity,inverse(least_upper_bound(X_15,identity)))),least_upper_bound(least_upper_bound(X_15,X_269),identity)) )],[refute_0_3678,refute_0_4150]) ).
cnf(refute_0_4152,plain,
least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity))))) = least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity)))),
inference(subst,[],[refute_0_4151:[bind(X_269,$fot(inverse(greatest_lower_bound(X_437,identity))))]]) ).
cnf(refute_0_4153,plain,
( least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity)))) != least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15)
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity))))) != least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity))))
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity))))) = least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity))))))),bind(Y0,$fot(least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity)))))),bind(Z0,$fot(least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15)))]]) ).
cnf(refute_0_4154,plain,
( least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity)))) != least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15)
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity))))) = least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity))))),least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity))))) )],[refute_0_4152,refute_0_4153]) ).
cnf(refute_0_4155,plain,
least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity))))) = least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(X_437,identity)))),least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15)) )],[refute_0_3633,refute_0_4154]) ).
cnf(refute_0_4156,plain,
( least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity))))) != least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))))
| least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity))))) != least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15)
| least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15) = least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437)))) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity))))),least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))))) ),[0],$fot(least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15))]]) ).
cnf(refute_0_4157,plain,
( least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity))))) != least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))))
| least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15) = least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437)))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity))))),least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15)) )],[refute_0_4155,refute_0_4156]) ).
cnf(refute_0_4158,plain,
( least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437)))) != least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15)
| least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15) != least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))))
| least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15) = least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15) ),
introduced(tautology,[equality,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15),least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))))) ),[1],$fot(least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15))]]) ).
cnf(refute_0_4159,plain,
( least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15) != least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))))
| least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15) = least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437)))),least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15)) )],[refute_0_3553,refute_0_4158]) ).
cnf(refute_0_4160,plain,
( least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity))))) != least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))))
| least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15) = least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15),least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))))) )],[refute_0_4157,refute_0_4159]) ).
cnf(refute_0_4161,plain,
least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),X_15) = least_upper_bound(inverse(greatest_lower_bound(identity,X_437)),X_15),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,least_upper_bound(X_15,least_upper_bound(inverse(greatest_lower_bound(X_437,identity)),inverse(least_upper_bound(X_15,identity))))),least_upper_bound(identity,least_upper_bound(X_15,inverse(greatest_lower_bound(identity,X_437))))) )],[refute_0_3618,refute_0_4160]) ).
cnf(refute_0_4162,plain,
least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438) = least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70))),X_438),
inference(subst,[],[refute_0_4161:[bind(X_15,$fot(X_438)),bind(X_437,$fot(multiply(inverse(X),X_70)))]]) ).
cnf(refute_0_4163,plain,
( least_upper_bound(X_438,multiply(inverse(greatest_lower_bound(X_70,X)),X)) != least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438)
| least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438) != least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70))),X_438)
| least_upper_bound(X_438,multiply(inverse(greatest_lower_bound(X_70,X)),X)) = least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70))),X_438) ),
introduced(tautology,[equality,[$cnf( ~ $equal(least_upper_bound(X_438,multiply(inverse(greatest_lower_bound(X_70,X)),X)),least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70))),X_438)) ),[0],$fot(least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438))]]) ).
cnf(refute_0_4164,plain,
( least_upper_bound(X_438,multiply(inverse(greatest_lower_bound(X_70,X)),X)) != least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438)
| least_upper_bound(X_438,multiply(inverse(greatest_lower_bound(X_70,X)),X)) = least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70))),X_438) ),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438),least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70))),X_438)) )],[refute_0_4162,refute_0_4163]) ).
cnf(refute_0_4165,plain,
( least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X)))) != least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438)
| least_upper_bound(X_438,multiply(inverse(greatest_lower_bound(X_70,X)),X)) = least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70))),X_438) ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_438,multiply(inverse(greatest_lower_bound(X_70,X)),X)),least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438)) )],[refute_0_3614,refute_0_4164]) ).
cnf(refute_0_4166,plain,
least_upper_bound(X_438,multiply(inverse(greatest_lower_bound(X_70,X)),X)) = least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(X),X_70))),X_438),
inference(resolve,[$cnf( $equal(least_upper_bound(X_438,inverse(multiply(inverse(X),greatest_lower_bound(X_70,X)))),least_upper_bound(inverse(greatest_lower_bound(multiply(inverse(X),X_70),identity)),X_438)) )],[refute_0_3607,refute_0_4165]) ).
cnf(refute_0_4167,plain,
least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),identity),
inference(subst,[],[refute_0_4166:[bind(X,$fot(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),bind(X_438,$fot(identity)),bind(X_70,$fot(identity))]]) ).
cnf(refute_0_4168,plain,
( least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) != least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),identity)
| least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),identity) != inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))
| least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))),bind(Y0,$fot(least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),identity))),bind(Z0,$fot(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))))]]) ).
cnf(refute_0_4169,plain,
( least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),identity) != inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))
| least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))) ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),identity)) )],[refute_0_4167,refute_0_4168]) ).
cnf(refute_0_4170,plain,
least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),
inference(resolve,[$cnf( $equal(least_upper_bound(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),identity),inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))) )],[refute_0_3601,refute_0_4169]) ).
cnf(refute_0_4171,plain,
( inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))) != identity
| least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) != inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))
| least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = identity ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))),bind(Y0,$fot(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_4172,plain,
( inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))) != identity
| least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = identity ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity)))) )],[refute_0_4170,refute_0_4171]) ).
cnf(refute_0_4173,plain,
least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) = identity,
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,multiply(inverse(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),identity))),identity) )],[refute_0_2804,refute_0_4172]) ).
cnf(refute_0_4174,plain,
( multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))) != least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))) != identity
| multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))),identity) ),[0],$fot(least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))))]]) ).
cnf(refute_0_4175,plain,
( multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))) != least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))) = identity ),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),identity) )],[refute_0_4173,refute_0_4174]) ).
cnf(refute_0_4176,plain,
( multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))) != least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))
| multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))) = identity ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))),least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) )],[refute_0_2074,refute_0_4175]) ).
cnf(refute_0_4177,plain,
multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(identity),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))),least_upper_bound(identity,multiply(inverse(greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618))))),multiply(greatest_lower_bound(identity,X_618),least_upper_bound(identity,inverse(X_618)))))) )],[refute_0_2064,refute_0_4176]) ).
cnf(refute_0_4178,plain,
multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X))) = identity,
inference(subst,[],[refute_0_4177:[bind(X_618,$fot(X))]]) ).
cnf(refute_0_4179,plain,
inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))) = inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),
introduced(tautology,[refl,[$fot(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))))]]) ).
cnf(refute_0_4180,plain,
( multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X))) != identity
| inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))) != inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X))))
| inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X))))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_4181,plain,
( multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X))) != identity
| inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X))))) )],[refute_0_4179,refute_0_4180]) ).
cnf(refute_0_4182,plain,
inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X))),identity) )],[refute_0_4178,refute_0_4181]) ).
cnf(refute_0_4183,plain,
( inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))) != inverse(identity)
| inverse(identity) != identity
| inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))) = identity ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))))),bind(Y0,$fot(inverse(identity))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_4184,plain,
( inverse(identity) != identity
| inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))) = identity ),
inference(resolve,[$cnf( $equal(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),inverse(identity)) )],[refute_0_4182,refute_0_4183]) ).
cnf(refute_0_4185,plain,
inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))) = identity,
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[p20_1,refute_0_4184]) ).
cnf(refute_0_4186,plain,
multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) = multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))))]]) ).
cnf(refute_0_4187,plain,
( multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) != multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X)))
| inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))) != identity
| multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) = multiply(identity,least_upper_bound(identity,inverse(X))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))),multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_4188,plain,
( inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))) != identity
| multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) = multiply(identity,least_upper_bound(identity,inverse(X))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))),multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X)))) )],[refute_0_4186,refute_0_4187]) ).
cnf(refute_0_4189,plain,
multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) = multiply(identity,least_upper_bound(identity,inverse(X))),
inference(resolve,[$cnf( $equal(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),identity) )],[refute_0_4185,refute_0_4188]) ).
cnf(refute_0_4190,plain,
( multiply(identity,least_upper_bound(identity,inverse(X))) != least_upper_bound(identity,inverse(X))
| multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) != multiply(identity,least_upper_bound(identity,inverse(X)))
| multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) = least_upper_bound(identity,inverse(X)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))))),bind(Y0,$fot(multiply(identity,least_upper_bound(identity,inverse(X))))),bind(Z0,$fot(least_upper_bound(identity,inverse(X))))]]) ).
cnf(refute_0_4191,plain,
( multiply(identity,least_upper_bound(identity,inverse(X))) != least_upper_bound(identity,inverse(X))
| multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) = least_upper_bound(identity,inverse(X)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))),multiply(identity,least_upper_bound(identity,inverse(X)))) )],[refute_0_4189,refute_0_4190]) ).
cnf(refute_0_4192,plain,
multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) = least_upper_bound(identity,inverse(X)),
inference(resolve,[$cnf( $equal(multiply(identity,least_upper_bound(identity,inverse(X))),least_upper_bound(identity,inverse(X))) )],[refute_0_1239,refute_0_4191]) ).
cnf(refute_0_4193,plain,
( multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))) != least_upper_bound(identity,inverse(X))
| inverse(greatest_lower_bound(identity,X)) != multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X)))
| inverse(greatest_lower_bound(identity,X)) = least_upper_bound(identity,inverse(X)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(identity,X)),multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X)))) ),[1],$fot(least_upper_bound(identity,inverse(X)))]]) ).
cnf(refute_0_4194,plain,
( inverse(greatest_lower_bound(identity,X)) != multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X)))
| inverse(greatest_lower_bound(identity,X)) = least_upper_bound(identity,inverse(X)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X))),least_upper_bound(identity,inverse(X))) )],[refute_0_4192,refute_0_4193]) ).
cnf(refute_0_4195,plain,
inverse(greatest_lower_bound(identity,X)) = least_upper_bound(identity,inverse(X)),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,X)),multiply(inverse(multiply(greatest_lower_bound(identity,X),least_upper_bound(identity,inverse(X)))),least_upper_bound(identity,inverse(X)))) )],[refute_0_1238,refute_0_4194]) ).
cnf(refute_0_4196,plain,
( inverse(greatest_lower_bound(identity,X)) != least_upper_bound(identity,inverse(X))
| least_upper_bound(identity,inverse(X)) = inverse(greatest_lower_bound(identity,X)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(greatest_lower_bound(identity,X)))),bind(Y0,$fot(least_upper_bound(identity,inverse(X))))]]) ).
cnf(refute_0_4197,plain,
least_upper_bound(identity,inverse(X)) = inverse(greatest_lower_bound(identity,X)),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,X)),least_upper_bound(identity,inverse(X))) )],[refute_0_4195,refute_0_4196]) ).
cnf(refute_0_4198,plain,
least_upper_bound(identity,inverse(X_150)) = inverse(greatest_lower_bound(identity,X_150)),
inference(subst,[],[refute_0_4197:[bind(X,$fot(X_150))]]) ).
cnf(refute_0_4199,plain,
inverse(least_upper_bound(identity,inverse(X_150))) = inverse(least_upper_bound(identity,inverse(X_150))),
introduced(tautology,[refl,[$fot(inverse(least_upper_bound(identity,inverse(X_150))))]]) ).
cnf(refute_0_4200,plain,
( inverse(least_upper_bound(identity,inverse(X_150))) != inverse(least_upper_bound(identity,inverse(X_150)))
| least_upper_bound(identity,inverse(X_150)) != inverse(greatest_lower_bound(identity,X_150))
| inverse(least_upper_bound(identity,inverse(X_150))) = inverse(inverse(greatest_lower_bound(identity,X_150))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(least_upper_bound(identity,inverse(X_150))),inverse(least_upper_bound(identity,inverse(X_150)))) ),[1,0],$fot(inverse(greatest_lower_bound(identity,X_150)))]]) ).
cnf(refute_0_4201,plain,
( least_upper_bound(identity,inverse(X_150)) != inverse(greatest_lower_bound(identity,X_150))
| inverse(least_upper_bound(identity,inverse(X_150))) = inverse(inverse(greatest_lower_bound(identity,X_150))) ),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(identity,inverse(X_150))),inverse(least_upper_bound(identity,inverse(X_150)))) )],[refute_0_4199,refute_0_4200]) ).
cnf(refute_0_4202,plain,
inverse(least_upper_bound(identity,inverse(X_150))) = inverse(inverse(greatest_lower_bound(identity,X_150))),
inference(resolve,[$cnf( $equal(least_upper_bound(identity,inverse(X_150)),inverse(greatest_lower_bound(identity,X_150))) )],[refute_0_4198,refute_0_4201]) ).
cnf(refute_0_4203,plain,
( inverse(inverse(greatest_lower_bound(identity,X_150))) != greatest_lower_bound(identity,X_150)
| inverse(least_upper_bound(identity,inverse(X_150))) != inverse(inverse(greatest_lower_bound(identity,X_150)))
| inverse(least_upper_bound(identity,inverse(X_150))) = greatest_lower_bound(identity,X_150) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(inverse(least_upper_bound(identity,inverse(X_150))))),bind(Y0,$fot(inverse(inverse(greatest_lower_bound(identity,X_150))))),bind(Z0,$fot(greatest_lower_bound(identity,X_150)))]]) ).
cnf(refute_0_4204,plain,
( inverse(inverse(greatest_lower_bound(identity,X_150))) != greatest_lower_bound(identity,X_150)
| inverse(least_upper_bound(identity,inverse(X_150))) = greatest_lower_bound(identity,X_150) ),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(identity,inverse(X_150))),inverse(inverse(greatest_lower_bound(identity,X_150)))) )],[refute_0_4202,refute_0_4203]) ).
cnf(refute_0_4205,plain,
inverse(least_upper_bound(identity,inverse(X_150))) = greatest_lower_bound(identity,X_150),
inference(resolve,[$cnf( $equal(inverse(inverse(greatest_lower_bound(identity,X_150))),greatest_lower_bound(identity,X_150)) )],[refute_0_942,refute_0_4204]) ).
cnf(refute_0_4206,plain,
multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity)) = multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity)),
introduced(tautology,[refl,[$fot(multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity)))]]) ).
cnf(refute_0_4207,plain,
( multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity)) != multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity))
| inverse(least_upper_bound(identity,inverse(X_150))) != greatest_lower_bound(identity,X_150)
| multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity)) = multiply(greatest_lower_bound(identity,X_150),least_upper_bound(X_150,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity)),multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity))) ),[1,0],$fot(greatest_lower_bound(identity,X_150))]]) ).
cnf(refute_0_4208,plain,
( inverse(least_upper_bound(identity,inverse(X_150))) != greatest_lower_bound(identity,X_150)
| multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity)) = multiply(greatest_lower_bound(identity,X_150),least_upper_bound(X_150,identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity)),multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity))) )],[refute_0_4206,refute_0_4207]) ).
cnf(refute_0_4209,plain,
multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity)) = multiply(greatest_lower_bound(identity,X_150),least_upper_bound(X_150,identity)),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(identity,inverse(X_150))),greatest_lower_bound(identity,X_150)) )],[refute_0_4205,refute_0_4208]) ).
cnf(refute_0_4210,plain,
( X_150 != multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity))
| multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity)) != multiply(greatest_lower_bound(identity,X_150),least_upper_bound(X_150,identity))
| X_150 = multiply(greatest_lower_bound(identity,X_150),least_upper_bound(X_150,identity)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_150,multiply(greatest_lower_bound(identity,X_150),least_upper_bound(X_150,identity))) ),[0],$fot(multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity)))]]) ).
cnf(refute_0_4211,plain,
( X_150 != multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity))
| X_150 = multiply(greatest_lower_bound(identity,X_150),least_upper_bound(X_150,identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity)),multiply(greatest_lower_bound(identity,X_150),least_upper_bound(X_150,identity))) )],[refute_0_4209,refute_0_4210]) ).
cnf(refute_0_4212,plain,
X_150 = multiply(greatest_lower_bound(identity,X_150),least_upper_bound(X_150,identity)),
inference(resolve,[$cnf( $equal(X_150,multiply(inverse(least_upper_bound(identity,inverse(X_150))),least_upper_bound(X_150,identity))) )],[refute_0_667,refute_0_4211]) ).
cnf(refute_0_4213,plain,
( X_150 != multiply(greatest_lower_bound(identity,X_150),least_upper_bound(X_150,identity))
| multiply(greatest_lower_bound(identity,X_150),least_upper_bound(X_150,identity)) = X_150 ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(X_150)),bind(Y0,$fot(multiply(greatest_lower_bound(identity,X_150),least_upper_bound(X_150,identity))))]]) ).
cnf(refute_0_4214,plain,
multiply(greatest_lower_bound(identity,X_150),least_upper_bound(X_150,identity)) = X_150,
inference(resolve,[$cnf( $equal(X_150,multiply(greatest_lower_bound(identity,X_150),least_upper_bound(X_150,identity))) )],[refute_0_4212,refute_0_4213]) ).
cnf(refute_0_4215,plain,
multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)) = X_344,
inference(subst,[],[refute_0_4214:[bind(X_150,$fot(X_344))]]) ).
cnf(refute_0_4216,plain,
inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))) = inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))),
introduced(tautology,[refl,[$fot(inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))))]]) ).
cnf(refute_0_4217,plain,
( multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)) != X_344
| inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))) != inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))
| inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))) = inverse(X_344) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) ),[1,0],$fot(X_344)]]) ).
cnf(refute_0_4218,plain,
( multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)) != X_344
| inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))) = inverse(X_344) ),
inference(resolve,[$cnf( $equal(inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) )],[refute_0_4216,refute_0_4217]) ).
cnf(refute_0_4219,plain,
inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))) = inverse(X_344),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)),X_344) )],[refute_0_4215,refute_0_4218]) ).
cnf(refute_0_4220,plain,
multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) = multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))),
introduced(tautology,[refl,[$fot(multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))))]]) ).
cnf(refute_0_4221,plain,
( multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) != multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))))
| inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))) != inverse(X_344)
| multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) = multiply(greatest_lower_bound(identity,X_344),inverse(X_344)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))),multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))))) ),[1,1],$fot(inverse(X_344))]]) ).
cnf(refute_0_4222,plain,
( inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))) != inverse(X_344)
| multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) = multiply(greatest_lower_bound(identity,X_344),inverse(X_344)) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))),multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))))) )],[refute_0_4220,refute_0_4221]) ).
cnf(refute_0_4223,plain,
multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) = multiply(greatest_lower_bound(identity,X_344),inverse(X_344)),
inference(resolve,[$cnf( $equal(inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))),inverse(X_344)) )],[refute_0_4219,refute_0_4222]) ).
cnf(refute_0_4224,plain,
( multiply(greatest_lower_bound(identity,X_344),inverse(X_344)) != greatest_lower_bound(identity,inverse(X_344))
| multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) != multiply(greatest_lower_bound(identity,X_344),inverse(X_344))
| multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) = greatest_lower_bound(identity,inverse(X_344)) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))))),bind(Y0,$fot(multiply(greatest_lower_bound(identity,X_344),inverse(X_344)))),bind(Z0,$fot(greatest_lower_bound(identity,inverse(X_344))))]]) ).
cnf(refute_0_4225,plain,
( multiply(greatest_lower_bound(identity,X_344),inverse(X_344)) != greatest_lower_bound(identity,inverse(X_344))
| multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) = greatest_lower_bound(identity,inverse(X_344)) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))),multiply(greatest_lower_bound(identity,X_344),inverse(X_344))) )],[refute_0_4223,refute_0_4224]) ).
cnf(refute_0_4226,plain,
multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) = greatest_lower_bound(identity,inverse(X_344)),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_344),inverse(X_344)),greatest_lower_bound(identity,inverse(X_344))) )],[refute_0_941,refute_0_4225]) ).
cnf(refute_0_4227,plain,
( multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))) != greatest_lower_bound(identity,inverse(X_344))
| inverse(least_upper_bound(X_344,identity)) != multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))))
| inverse(least_upper_bound(X_344,identity)) = greatest_lower_bound(identity,inverse(X_344)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(least_upper_bound(X_344,identity)),multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))))) ),[1],$fot(greatest_lower_bound(identity,inverse(X_344)))]]) ).
cnf(refute_0_4228,plain,
( inverse(least_upper_bound(X_344,identity)) != multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))))
| inverse(least_upper_bound(X_344,identity)) = greatest_lower_bound(identity,inverse(X_344)) ),
inference(resolve,[$cnf( $equal(multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity)))),greatest_lower_bound(identity,inverse(X_344))) )],[refute_0_4226,refute_0_4227]) ).
cnf(refute_0_4229,plain,
inverse(least_upper_bound(X_344,identity)) = greatest_lower_bound(identity,inverse(X_344)),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(X_344,identity)),multiply(greatest_lower_bound(identity,X_344),inverse(multiply(greatest_lower_bound(identity,X_344),least_upper_bound(X_344,identity))))) )],[refute_0_934,refute_0_4228]) ).
cnf(refute_0_4230,plain,
( inverse(least_upper_bound(X_344,identity)) != greatest_lower_bound(identity,inverse(X_344))
| greatest_lower_bound(identity,inverse(X_344)) = inverse(least_upper_bound(X_344,identity)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(inverse(least_upper_bound(X_344,identity)))),bind(Y0,$fot(greatest_lower_bound(identity,inverse(X_344))))]]) ).
cnf(refute_0_4231,plain,
greatest_lower_bound(identity,inverse(X_344)) = inverse(least_upper_bound(X_344,identity)),
inference(resolve,[$cnf( $equal(inverse(least_upper_bound(X_344,identity)),greatest_lower_bound(identity,inverse(X_344))) )],[refute_0_4229,refute_0_4230]) ).
cnf(refute_0_4232,plain,
greatest_lower_bound(identity,inverse(X_67)) = inverse(least_upper_bound(X_67,identity)),
inference(subst,[],[refute_0_4231:[bind(X_344,$fot(X_67))]]) ).
cnf(refute_0_4233,plain,
inverse(greatest_lower_bound(identity,inverse(X_67))) = inverse(greatest_lower_bound(identity,inverse(X_67))),
introduced(tautology,[refl,[$fot(inverse(greatest_lower_bound(identity,inverse(X_67))))]]) ).
cnf(refute_0_4234,plain,
( greatest_lower_bound(identity,inverse(X_67)) != inverse(least_upper_bound(X_67,identity))
| inverse(greatest_lower_bound(identity,inverse(X_67))) != inverse(greatest_lower_bound(identity,inverse(X_67)))
| inverse(greatest_lower_bound(identity,inverse(X_67))) = inverse(inverse(least_upper_bound(X_67,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(X_67))),inverse(greatest_lower_bound(identity,inverse(X_67)))) ),[1,0],$fot(inverse(least_upper_bound(X_67,identity)))]]) ).
cnf(refute_0_4235,plain,
( greatest_lower_bound(identity,inverse(X_67)) != inverse(least_upper_bound(X_67,identity))
| inverse(greatest_lower_bound(identity,inverse(X_67))) = inverse(inverse(least_upper_bound(X_67,identity))) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(X_67))),inverse(greatest_lower_bound(identity,inverse(X_67)))) )],[refute_0_4233,refute_0_4234]) ).
cnf(refute_0_4236,plain,
inverse(greatest_lower_bound(identity,inverse(X_67))) = inverse(inverse(least_upper_bound(X_67,identity))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(identity,inverse(X_67)),inverse(least_upper_bound(X_67,identity))) )],[refute_0_4232,refute_0_4235]) ).
cnf(refute_0_4237,plain,
( inverse(greatest_lower_bound(identity,inverse(X_67))) != inverse(inverse(least_upper_bound(X_67,identity)))
| inverse(inverse(least_upper_bound(X_67,identity))) != least_upper_bound(X_67,identity)
| inverse(greatest_lower_bound(identity,inverse(X_67))) = least_upper_bound(X_67,identity) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(inverse(greatest_lower_bound(identity,inverse(X_67))))),bind(Y0,$fot(inverse(inverse(least_upper_bound(X_67,identity))))),bind(Z0,$fot(least_upper_bound(X_67,identity)))]]) ).
cnf(refute_0_4238,plain,
( inverse(inverse(least_upper_bound(X_67,identity))) != least_upper_bound(X_67,identity)
| inverse(greatest_lower_bound(identity,inverse(X_67))) = least_upper_bound(X_67,identity) ),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(X_67))),inverse(inverse(least_upper_bound(X_67,identity)))) )],[refute_0_4236,refute_0_4237]) ).
cnf(refute_0_4239,plain,
inverse(greatest_lower_bound(identity,inverse(X_67))) = least_upper_bound(X_67,identity),
inference(resolve,[$cnf( $equal(inverse(inverse(least_upper_bound(X_67,identity))),least_upper_bound(X_67,identity)) )],[refute_0_370,refute_0_4238]) ).
cnf(refute_0_4240,plain,
greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))) = greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))),
introduced(tautology,[refl,[$fot(greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))))]]) ).
cnf(refute_0_4241,plain,
( greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))) != greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67))))
| inverse(greatest_lower_bound(identity,inverse(X_67))) != least_upper_bound(X_67,identity)
| greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))) = greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),least_upper_bound(X_67,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))),greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67))))) ),[1,1],$fot(least_upper_bound(X_67,identity))]]) ).
cnf(refute_0_4242,plain,
( inverse(greatest_lower_bound(identity,inverse(X_67))) != least_upper_bound(X_67,identity)
| greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))) = greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),least_upper_bound(X_67,identity)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))),greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67))))) )],[refute_0_4240,refute_0_4241]) ).
cnf(refute_0_4243,plain,
greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))) = greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),least_upper_bound(X_67,identity)),
inference(resolve,[$cnf( $equal(inverse(greatest_lower_bound(identity,inverse(X_67))),least_upper_bound(X_67,identity)) )],[refute_0_4239,refute_0_4242]) ).
cnf(refute_0_4244,plain,
( greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))) != greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),least_upper_bound(X_67,identity))
| greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),least_upper_bound(X_67,identity)) != greatest_lower_bound(least_upper_bound(X_67,identity),inverse(greatest_lower_bound(X_67,identity)))
| greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))) = greatest_lower_bound(least_upper_bound(X_67,identity),inverse(greatest_lower_bound(X_67,identity))) ),
inference(subst,[],[refute_0_69:[bind(X0,$fot(greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))))),bind(Y0,$fot(greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),least_upper_bound(X_67,identity)))),bind(Z0,$fot(greatest_lower_bound(least_upper_bound(X_67,identity),inverse(greatest_lower_bound(X_67,identity)))))]]) ).
cnf(refute_0_4245,plain,
( greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),least_upper_bound(X_67,identity)) != greatest_lower_bound(least_upper_bound(X_67,identity),inverse(greatest_lower_bound(X_67,identity)))
| greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))) = greatest_lower_bound(least_upper_bound(X_67,identity),inverse(greatest_lower_bound(X_67,identity))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))),greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),least_upper_bound(X_67,identity))) )],[refute_0_4243,refute_0_4244]) ).
cnf(refute_0_4246,plain,
greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))) = greatest_lower_bound(least_upper_bound(X_67,identity),inverse(greatest_lower_bound(X_67,identity))),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),least_upper_bound(X_67,identity)),greatest_lower_bound(least_upper_bound(X_67,identity),inverse(greatest_lower_bound(X_67,identity)))) )],[refute_0_369,refute_0_4245]) ).
cnf(refute_0_4247,plain,
( greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))) != greatest_lower_bound(least_upper_bound(X_67,identity),inverse(greatest_lower_bound(X_67,identity)))
| identity != greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67))))
| identity = greatest_lower_bound(least_upper_bound(X_67,identity),inverse(greatest_lower_bound(X_67,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67))))) ),[1],$fot(greatest_lower_bound(least_upper_bound(X_67,identity),inverse(greatest_lower_bound(X_67,identity))))]]) ).
cnf(refute_0_4248,plain,
( identity != greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67))))
| identity = greatest_lower_bound(least_upper_bound(X_67,identity),inverse(greatest_lower_bound(X_67,identity))) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67)))),greatest_lower_bound(least_upper_bound(X_67,identity),inverse(greatest_lower_bound(X_67,identity)))) )],[refute_0_4246,refute_0_4247]) ).
cnf(refute_0_4249,plain,
identity = greatest_lower_bound(least_upper_bound(X_67,identity),inverse(greatest_lower_bound(X_67,identity))),
inference(resolve,[$cnf( $equal(identity,greatest_lower_bound(inverse(greatest_lower_bound(identity,X_67)),inverse(greatest_lower_bound(identity,inverse(X_67))))) )],[refute_0_156,refute_0_4248]) ).
cnf(refute_0_4250,plain,
( identity != greatest_lower_bound(least_upper_bound(X_67,identity),inverse(greatest_lower_bound(X_67,identity)))
| greatest_lower_bound(least_upper_bound(X_67,identity),inverse(greatest_lower_bound(X_67,identity))) = identity ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(identity)),bind(Y0,$fot(greatest_lower_bound(least_upper_bound(X_67,identity),inverse(greatest_lower_bound(X_67,identity)))))]]) ).
cnf(refute_0_4251,plain,
greatest_lower_bound(least_upper_bound(X_67,identity),inverse(greatest_lower_bound(X_67,identity))) = identity,
inference(resolve,[$cnf( $equal(identity,greatest_lower_bound(least_upper_bound(X_67,identity),inverse(greatest_lower_bound(X_67,identity)))) )],[refute_0_4249,refute_0_4250]) ).
cnf(refute_0_4252,plain,
greatest_lower_bound(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))) = identity,
inference(subst,[],[refute_0_4251:[bind(X_67,$fot(a))]]) ).
cnf(refute_0_4253,plain,
( greatest_lower_bound(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))) != identity
| identity != identity
| greatest_lower_bound(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(greatest_lower_bound(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))),identity) ),[0],$fot(identity)]]) ).
cnf(refute_0_4254,plain,
( identity != identity
| greatest_lower_bound(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))) = identity ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))),identity) )],[refute_0_4252,refute_0_4253]) ).
cnf(refute_0_4255,plain,
identity != identity,
inference(resolve,[$cnf( $equal(greatest_lower_bound(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))),identity) )],[refute_0_4254,prove_p20]) ).
cnf(refute_0_4256,plain,
identity = identity,
introduced(tautology,[refl,[$fot(identity)]]) ).
cnf(refute_0_4257,plain,
$false,
inference(resolve,[$cnf( $equal(identity,identity) )],[refute_0_4256,refute_0_4255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP183-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 10:49:06 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 84.51/84.69 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 84.51/84.69
% 84.51/84.69 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 85.18/85.35
%------------------------------------------------------------------------------