TSTP Solution File: HEN010-5 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : HEN010-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n007.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 12:58:46 EDT 2022

% Result   : Unsatisfiable 89.92s 90.17s
% Output   : CNFRefutation 90.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   59
%            Number of leaves      :   92
% Syntax   : Number of clauses     :  409 ( 158 unt;   0 nHn; 173 RR)
%            Number of literals    :  756 ( 755 equ; 349 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :  951 (  76 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(quotient_smaller_than_numerator,axiom,
    divide(divide(X,Y),X) = zero ).

cnf(quotient_property,axiom,
    divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) = zero ).

cnf(zero_is_smallest,axiom,
    divide(zero,X) = zero ).

cnf(divide_and_equal,axiom,
    ( divide(X,Y) != zero
    | divide(Y,X) != zero
    | X = Y ) ).

cnf(identity_is_largest,axiom,
    divide(X,identity) = zero ).

cnf(property_of_divide1,axiom,
    ( divide(divide(X,Y),Z) != zero
    | divide(divide(X,Z),Y) = zero ) ).

cnf(property_of_divide3,axiom,
    ( divide(X,Y) != zero
    | divide(divide(X,Z),divide(Y,Z)) = zero ) ).

cnf(prove_this,negated_conjecture,
    divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))) ).

cnf(refute_0_0,plain,
    ( divide(X_276,divide(X_276,Y)) != zero
    | divide(divide(X_276,Y),X_276) != zero
    | X_276 = divide(X_276,Y) ),
    inference(subst,[],[divide_and_equal:[bind(X,$fot(X_276)),bind(Y,$fot(divide(X_276,Y)))]]) ).

cnf(refute_0_1,plain,
    divide(divide(X_276,Y),X_276) = zero,
    inference(subst,[],[quotient_smaller_than_numerator:[bind(X,$fot(X_276))]]) ).

cnf(refute_0_2,plain,
    ( divide(divide(X_276,Y),X_276) != zero
    | zero != zero
    | divide(divide(X_276,Y),X_276) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(X_276,Y),X_276),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_3,plain,
    ( zero != zero
    | divide(divide(X_276,Y),X_276) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(X_276,Y),X_276),zero) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( divide(X_276,divide(X_276,Y)) != zero
    | zero != zero
    | X_276 = divide(X_276,Y) ),
    inference(resolve,[$cnf( $equal(divide(divide(X_276,Y),X_276),zero) )],[refute_0_3,refute_0_0]) ).

cnf(refute_0_5,plain,
    zero = zero,
    introduced(tautology,[refl,[$fot(zero)]]) ).

cnf(refute_0_6,plain,
    ( divide(X_276,divide(X_276,Y)) != zero
    | X_276 = divide(X_276,Y) ),
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_4]) ).

cnf(refute_0_7,plain,
    ( divide(divide(X_1474,X_1475),divide(divide(X_1474,X_1475),divide(X_1473,divide(identity,X_1475)))) != zero
    | divide(X_1474,X_1475) = divide(divide(X_1474,X_1475),divide(X_1473,divide(identity,X_1475))) ),
    inference(subst,[],[refute_0_6:[bind(Y,$fot(divide(X_1473,divide(identity,X_1475)))),bind(X_276,$fot(divide(X_1474,X_1475)))]]) ).

cnf(refute_0_8,plain,
    ( divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) != zero
    | divide(divide(divide(X,Z),divide(divide(X,Y),Z)),divide(Y,Z)) = zero ),
    inference(subst,[],[property_of_divide1:[bind(X,$fot(divide(X,Z))),bind(Y,$fot(divide(Y,Z))),bind(Z,$fot(divide(divide(X,Y),Z)))]]) ).

cnf(refute_0_9,plain,
    ( divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) != zero
    | zero != zero
    | divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_10,plain,
    ( zero != zero
    | divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)),zero) )],[quotient_property,refute_0_9]) ).

cnf(refute_0_11,plain,
    ( zero != zero
    | divide(divide(divide(X,Z),divide(divide(X,Y),Z)),divide(Y,Z)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)),zero) )],[refute_0_10,refute_0_8]) ).

cnf(refute_0_12,plain,
    divide(divide(divide(X,Z),divide(divide(X,Y),Z)),divide(Y,Z)) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_11]) ).

cnf(refute_0_13,plain,
    divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),divide(divide(divide(X_118,X_120),divide(divide(X_118,X_119),X_120)),divide(X_119,X_120))),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))) = zero,
    inference(subst,[],[refute_0_12:[bind(X,$fot(divide(X_118,X_120))),bind(Y,$fot(divide(divide(X_118,X_119),X_120))),bind(Z,$fot(divide(X_119,X_120)))]]) ).

cnf(refute_0_14,plain,
    divide(divide(divide(X_118,X_120),divide(divide(X_118,X_119),X_120)),divide(X_119,X_120)) = zero,
    inference(subst,[],[refute_0_12:[bind(X,$fot(X_118)),bind(Y,$fot(X_119)),bind(Z,$fot(X_120))]]) ).

cnf(refute_0_15,plain,
    ( divide(divide(divide(X_118,X_120),divide(divide(X_118,X_119),X_120)),divide(X_119,X_120)) != zero
    | divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),divide(divide(divide(X_118,X_120),divide(divide(X_118,X_119),X_120)),divide(X_119,X_120))),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))) != zero
    | divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),divide(divide(divide(X_118,X_120),divide(divide(X_118,X_119),X_120)),divide(X_119,X_120))),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))),zero) ),[0,0,1],$fot(zero)]]) ).

cnf(refute_0_16,plain,
    ( divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),divide(divide(divide(X_118,X_120),divide(divide(X_118,X_119),X_120)),divide(X_119,X_120))),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))) != zero
    | divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_118,X_120),divide(divide(X_118,X_119),X_120)),divide(X_119,X_120)),zero) )],[refute_0_14,refute_0_15]) ).

cnf(refute_0_17,plain,
    divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))) = zero,
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),divide(divide(divide(X_118,X_120),divide(divide(X_118,X_119),X_120)),divide(X_119,X_120))),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))),zero) )],[refute_0_13,refute_0_16]) ).

cnf(refute_0_18,plain,
    ( divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(divide(X_1003,X_1002),X_1004),zero)) != zero
    | divide(divide(divide(divide(X_1003,X_1002),X_1004),zero),divide(divide(X_1003,X_1004),X_1002)) != zero
    | divide(divide(divide(X_1003,X_1002),X_1004),zero) = divide(divide(X_1003,X_1004),X_1002) ),
    inference(subst,[],[divide_and_equal:[bind(X,$fot(divide(divide(divide(X_1003,X_1002),X_1004),zero))),bind(Y,$fot(divide(divide(X_1003,X_1004),X_1002)))]]) ).

cnf(refute_0_19,plain,
    ( divide(X_276,zero) != zero
    | divide(zero,X_276) != zero
    | X_276 = zero ),
    inference(subst,[],[divide_and_equal:[bind(X,$fot(X_276)),bind(Y,$fot(zero))]]) ).

cnf(refute_0_20,plain,
    divide(zero,X_276) = zero,
    inference(subst,[],[zero_is_smallest:[bind(X,$fot(X_276))]]) ).

cnf(refute_0_21,plain,
    ( divide(zero,X_276) != zero
    | zero != zero
    | divide(zero,X_276) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(zero,X_276),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_22,plain,
    ( zero != zero
    | divide(zero,X_276) = zero ),
    inference(resolve,[$cnf( $equal(divide(zero,X_276),zero) )],[refute_0_20,refute_0_21]) ).

cnf(refute_0_23,plain,
    ( divide(X_276,zero) != zero
    | zero != zero
    | X_276 = zero ),
    inference(resolve,[$cnf( $equal(divide(zero,X_276),zero) )],[refute_0_22,refute_0_19]) ).

cnf(refute_0_24,plain,
    ( divide(X_276,zero) != zero
    | X_276 = zero ),
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_23]) ).

cnf(refute_0_25,plain,
    ( divide(divide(divide(divide(divide(X_768,X_767),X_769),zero),divide(divide(X_768,X_769),X_767)),zero) != zero
    | divide(divide(divide(divide(X_768,X_767),X_769),zero),divide(divide(X_768,X_769),X_767)) = zero ),
    inference(subst,[],[refute_0_24:[bind(X_276,$fot(divide(divide(divide(divide(X_768,X_767),X_769),zero),divide(divide(X_768,X_769),X_767))))]]) ).

cnf(refute_0_26,plain,
    ( divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,divide(X_6,Y)),X_6)) != zero
    | divide(divide(divide(divide(X_4,X_6),zero),X_165),divide(divide(divide(X_4,divide(X_6,Y)),X_6),X_165)) = zero ),
    inference(subst,[],[property_of_divide3:[bind(X,$fot(divide(divide(X_4,X_6),zero))),bind(Y,$fot(divide(divide(X_4,divide(X_6,Y)),X_6))),bind(Z,$fot(X_165))]]) ).

cnf(refute_0_27,plain,
    divide(divide(divide(X_4,X_6),divide(divide(X_6,Y),X_6)),divide(divide(X_4,divide(X_6,Y)),X_6)) = zero,
    inference(subst,[],[quotient_property:[bind(X,$fot(X_4)),bind(Y,$fot(divide(X_6,Y))),bind(Z,$fot(X_6))]]) ).

cnf(refute_0_28,plain,
    divide(divide(X_6,Y),X_6) = zero,
    inference(subst,[],[quotient_smaller_than_numerator:[bind(X,$fot(X_6))]]) ).

cnf(refute_0_29,plain,
    ( divide(divide(X_6,Y),X_6) != zero
    | divide(divide(divide(X_4,X_6),divide(divide(X_6,Y),X_6)),divide(divide(X_4,divide(X_6,Y)),X_6)) != zero
    | divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,divide(X_6,Y)),X_6)) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_4,X_6),divide(divide(X_6,Y),X_6)),divide(divide(X_4,divide(X_6,Y)),X_6)),zero) ),[0,0,1],$fot(zero)]]) ).

cnf(refute_0_30,plain,
    ( divide(divide(divide(X_4,X_6),divide(divide(X_6,Y),X_6)),divide(divide(X_4,divide(X_6,Y)),X_6)) != zero
    | divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,divide(X_6,Y)),X_6)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(X_6,Y),X_6),zero) )],[refute_0_28,refute_0_29]) ).

cnf(refute_0_31,plain,
    divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,divide(X_6,Y)),X_6)) = zero,
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_4,X_6),divide(divide(X_6,Y),X_6)),divide(divide(X_4,divide(X_6,Y)),X_6)),zero) )],[refute_0_27,refute_0_30]) ).

cnf(refute_0_32,plain,
    ( divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,divide(X_6,Y)),X_6)) != zero
    | zero != zero
    | divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,divide(X_6,Y)),X_6)) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,divide(X_6,Y)),X_6)),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_33,plain,
    ( zero != zero
    | divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,divide(X_6,Y)),X_6)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,divide(X_6,Y)),X_6)),zero) )],[refute_0_31,refute_0_32]) ).

cnf(refute_0_34,plain,
    ( zero != zero
    | divide(divide(divide(divide(X_4,X_6),zero),X_165),divide(divide(divide(X_4,divide(X_6,Y)),X_6),X_165)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,divide(X_6,Y)),X_6)),zero) )],[refute_0_33,refute_0_26]) ).

cnf(refute_0_35,plain,
    divide(divide(divide(divide(X_4,X_6),zero),X_165),divide(divide(divide(X_4,divide(X_6,Y)),X_6),X_165)) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_34]) ).

cnf(refute_0_36,plain,
    divide(divide(divide(divide(divide(X_435,Y),X_6),zero),divide(divide(X_435,X_6),Y)),divide(divide(divide(divide(X_435,Y),divide(X_6,Y)),X_6),divide(divide(X_435,X_6),Y))) = zero,
    inference(subst,[],[refute_0_35:[bind(X_165,$fot(divide(divide(X_435,X_6),Y))),bind(X_4,$fot(divide(X_435,Y)))]]) ).

cnf(refute_0_37,plain,
    ( divide(divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)),X_93) != zero
    | divide(divide(divide(divide(X,Z),divide(Y,Z)),X_93),divide(divide(X,Y),Z)) = zero ),
    inference(subst,[],[property_of_divide1:[bind(X,$fot(divide(divide(X,Z),divide(Y,Z)))),bind(Y,$fot(divide(divide(X,Y),Z))),bind(Z,$fot(X_93))]]) ).

cnf(refute_0_38,plain,
    ( divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) != zero
    | divide(zero,X_93) != zero
    | divide(divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)),X_93) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)),X_93),zero) ),[0,0],$fot(zero)]]) ).

cnf(refute_0_39,plain,
    ( divide(zero,X_93) != zero
    | divide(divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)),X_93) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)),zero) )],[quotient_property,refute_0_38]) ).

cnf(refute_0_40,plain,
    ( divide(zero,X_93) != zero
    | divide(divide(divide(divide(X,Z),divide(Y,Z)),X_93),divide(divide(X,Y),Z)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)),X_93),zero) )],[refute_0_39,refute_0_37]) ).

cnf(refute_0_41,plain,
    divide(zero,X_93) = zero,
    inference(subst,[],[zero_is_smallest:[bind(X,$fot(X_93))]]) ).

cnf(refute_0_42,plain,
    ( divide(zero,X_93) != zero
    | zero != zero
    | divide(zero,X_93) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(zero,X_93),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_43,plain,
    ( zero != zero
    | divide(zero,X_93) = zero ),
    inference(resolve,[$cnf( $equal(divide(zero,X_93),zero) )],[refute_0_41,refute_0_42]) ).

cnf(refute_0_44,plain,
    ( zero != zero
    | divide(divide(divide(divide(X,Z),divide(Y,Z)),X_93),divide(divide(X,Y),Z)) = zero ),
    inference(resolve,[$cnf( $equal(divide(zero,X_93),zero) )],[refute_0_43,refute_0_40]) ).

cnf(refute_0_45,plain,
    divide(divide(divide(divide(X,Z),divide(Y,Z)),X_93),divide(divide(X,Y),Z)) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_44]) ).

cnf(refute_0_46,plain,
    divide(divide(divide(divide(X_435,Y),divide(X_6,Y)),X_6),divide(divide(X_435,X_6),Y)) = zero,
    inference(subst,[],[refute_0_45:[bind(X,$fot(X_435)),bind(Y,$fot(X_6)),bind(Z,$fot(Y)),bind(X_93,$fot(X_6))]]) ).

cnf(refute_0_47,plain,
    ( divide(divide(divide(divide(X_435,Y),divide(X_6,Y)),X_6),divide(divide(X_435,X_6),Y)) != zero
    | divide(divide(divide(divide(divide(X_435,Y),X_6),zero),divide(divide(X_435,X_6),Y)),divide(divide(divide(divide(X_435,Y),divide(X_6,Y)),X_6),divide(divide(X_435,X_6),Y))) != zero
    | divide(divide(divide(divide(divide(X_435,Y),X_6),zero),divide(divide(X_435,X_6),Y)),zero) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(divide(X_435,Y),X_6),zero),divide(divide(X_435,X_6),Y)),divide(divide(divide(divide(X_435,Y),divide(X_6,Y)),X_6),divide(divide(X_435,X_6),Y))),zero) ),[0,1],$fot(zero)]]) ).

cnf(refute_0_48,plain,
    ( divide(divide(divide(divide(divide(X_435,Y),X_6),zero),divide(divide(X_435,X_6),Y)),divide(divide(divide(divide(X_435,Y),divide(X_6,Y)),X_6),divide(divide(X_435,X_6),Y))) != zero
    | divide(divide(divide(divide(divide(X_435,Y),X_6),zero),divide(divide(X_435,X_6),Y)),zero) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_435,Y),divide(X_6,Y)),X_6),divide(divide(X_435,X_6),Y)),zero) )],[refute_0_46,refute_0_47]) ).

cnf(refute_0_49,plain,
    divide(divide(divide(divide(divide(X_435,Y),X_6),zero),divide(divide(X_435,X_6),Y)),zero) = zero,
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(divide(X_435,Y),X_6),zero),divide(divide(X_435,X_6),Y)),divide(divide(divide(divide(X_435,Y),divide(X_6,Y)),X_6),divide(divide(X_435,X_6),Y))),zero) )],[refute_0_36,refute_0_48]) ).

cnf(refute_0_50,plain,
    divide(divide(divide(divide(divide(X_768,X_767),X_769),zero),divide(divide(X_768,X_769),X_767)),zero) = zero,
    inference(subst,[],[refute_0_49:[bind(Y,$fot(X_767)),bind(X_435,$fot(X_768)),bind(X_6,$fot(X_769))]]) ).

cnf(refute_0_51,plain,
    ( divide(divide(divide(divide(divide(X_768,X_767),X_769),zero),divide(divide(X_768,X_769),X_767)),zero) != zero
    | zero != zero
    | divide(divide(divide(divide(divide(X_768,X_767),X_769),zero),divide(divide(X_768,X_769),X_767)),zero) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(divide(divide(X_768,X_767),X_769),zero),divide(divide(X_768,X_769),X_767)),zero),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_52,plain,
    ( zero != zero
    | divide(divide(divide(divide(divide(X_768,X_767),X_769),zero),divide(divide(X_768,X_769),X_767)),zero) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(divide(X_768,X_767),X_769),zero),divide(divide(X_768,X_769),X_767)),zero),zero) )],[refute_0_50,refute_0_51]) ).

cnf(refute_0_53,plain,
    ( zero != zero
    | divide(divide(divide(divide(X_768,X_767),X_769),zero),divide(divide(X_768,X_769),X_767)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(divide(X_768,X_767),X_769),zero),divide(divide(X_768,X_769),X_767)),zero),zero) )],[refute_0_52,refute_0_25]) ).

cnf(refute_0_54,plain,
    divide(divide(divide(divide(X_768,X_767),X_769),zero),divide(divide(X_768,X_769),X_767)) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_53]) ).

cnf(refute_0_55,plain,
    divide(divide(divide(divide(X_1003,X_1002),X_1004),zero),divide(divide(X_1003,X_1004),X_1002)) = zero,
    inference(subst,[],[refute_0_54:[bind(X_767,$fot(X_1002)),bind(X_768,$fot(X_1003)),bind(X_769,$fot(X_1004))]]) ).

cnf(refute_0_56,plain,
    ( divide(divide(divide(divide(X_1003,X_1002),X_1004),zero),divide(divide(X_1003,X_1004),X_1002)) != zero
    | zero != zero
    | divide(divide(divide(divide(X_1003,X_1002),X_1004),zero),divide(divide(X_1003,X_1004),X_1002)) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(divide(X_1003,X_1002),X_1004),zero),divide(divide(X_1003,X_1004),X_1002)),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_57,plain,
    ( zero != zero
    | divide(divide(divide(divide(X_1003,X_1002),X_1004),zero),divide(divide(X_1003,X_1004),X_1002)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_1003,X_1002),X_1004),zero),divide(divide(X_1003,X_1004),X_1002)),zero) )],[refute_0_55,refute_0_56]) ).

cnf(refute_0_58,plain,
    ( divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(divide(X_1003,X_1002),X_1004),zero)) != zero
    | zero != zero
    | divide(divide(divide(X_1003,X_1002),X_1004),zero) = divide(divide(X_1003,X_1004),X_1002) ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_1003,X_1002),X_1004),zero),divide(divide(X_1003,X_1004),X_1002)),zero) )],[refute_0_57,refute_0_18]) ).

cnf(refute_0_59,plain,
    ( divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(divide(X_1003,X_1002),X_1004),zero)) != zero
    | divide(divide(divide(X_1003,X_1002),X_1004),zero) = divide(divide(X_1003,X_1004),X_1002) ),
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_58]) ).

cnf(refute_0_60,plain,
    ( divide(divide(divide(X_827,X_828),divide(divide(X_827,Z),X_828)),Z) != zero
    | divide(divide(divide(X_827,X_828),Z),divide(divide(X_827,Z),X_828)) = zero ),
    inference(subst,[],[property_of_divide1:[bind(X,$fot(divide(X_827,X_828))),bind(Y,$fot(divide(divide(X_827,Z),X_828)))]]) ).

cnf(refute_0_61,plain,
    ( divide(divide(divide(divide(X_617,X_618),divide(divide(X_617,X_619),X_618)),X_619),zero) != zero
    | divide(divide(divide(X_617,X_618),divide(divide(X_617,X_619),X_618)),X_619) = zero ),
    inference(subst,[],[refute_0_24:[bind(X_276,$fot(divide(divide(divide(X_617,X_618),divide(divide(X_617,X_619),X_618)),X_619)))]]) ).

cnf(refute_0_62,plain,
    ( divide(divide(divide(X,Z),divide(divide(X,Y),Z)),divide(Y,Z)) != zero
    | divide(divide(divide(divide(X,Z),divide(divide(X,Y),Z)),X_165),divide(divide(Y,Z),X_165)) = zero ),
    inference(subst,[],[property_of_divide3:[bind(X,$fot(divide(divide(X,Z),divide(divide(X,Y),Z)))),bind(Y,$fot(divide(Y,Z))),bind(Z,$fot(X_165))]]) ).

cnf(refute_0_63,plain,
    ( zero != zero
    | divide(divide(divide(divide(X,Z),divide(divide(X,Y),Z)),X_165),divide(divide(Y,Z),X_165)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X,Z),divide(divide(X,Y),Z)),divide(Y,Z)),zero) )],[refute_0_11,refute_0_62]) ).

cnf(refute_0_64,plain,
    divide(divide(divide(divide(X,Z),divide(divide(X,Y),Z)),X_165),divide(divide(Y,Z),X_165)) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_63]) ).

cnf(refute_0_65,plain,
    divide(divide(divide(divide(X_249,X_251),divide(divide(X_249,X_252),X_251)),X_252),divide(divide(X_252,X_251),X_252)) = zero,
    inference(subst,[],[refute_0_64:[bind(X,$fot(X_249)),bind(Y,$fot(X_252)),bind(Z,$fot(X_251)),bind(X_165,$fot(X_252))]]) ).

cnf(refute_0_66,plain,
    divide(divide(X_252,X_251),X_252) = zero,
    inference(subst,[],[quotient_smaller_than_numerator:[bind(X,$fot(X_252)),bind(Y,$fot(X_251))]]) ).

cnf(refute_0_67,plain,
    ( divide(divide(X_252,X_251),X_252) != zero
    | divide(divide(divide(divide(X_249,X_251),divide(divide(X_249,X_252),X_251)),X_252),divide(divide(X_252,X_251),X_252)) != zero
    | divide(divide(divide(divide(X_249,X_251),divide(divide(X_249,X_252),X_251)),X_252),zero) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X_249,X_251),divide(divide(X_249,X_252),X_251)),X_252),divide(divide(X_252,X_251),X_252)),zero) ),[0,1],$fot(zero)]]) ).

cnf(refute_0_68,plain,
    ( divide(divide(divide(divide(X_249,X_251),divide(divide(X_249,X_252),X_251)),X_252),divide(divide(X_252,X_251),X_252)) != zero
    | divide(divide(divide(divide(X_249,X_251),divide(divide(X_249,X_252),X_251)),X_252),zero) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(X_252,X_251),X_252),zero) )],[refute_0_66,refute_0_67]) ).

cnf(refute_0_69,plain,
    divide(divide(divide(divide(X_249,X_251),divide(divide(X_249,X_252),X_251)),X_252),zero) = zero,
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_249,X_251),divide(divide(X_249,X_252),X_251)),X_252),divide(divide(X_252,X_251),X_252)),zero) )],[refute_0_65,refute_0_68]) ).

cnf(refute_0_70,plain,
    divide(divide(divide(divide(X_617,X_618),divide(divide(X_617,X_619),X_618)),X_619),zero) = zero,
    inference(subst,[],[refute_0_69:[bind(X_249,$fot(X_617)),bind(X_251,$fot(X_618)),bind(X_252,$fot(X_619))]]) ).

cnf(refute_0_71,plain,
    ( divide(divide(divide(divide(X_617,X_618),divide(divide(X_617,X_619),X_618)),X_619),zero) != zero
    | zero != zero
    | divide(divide(divide(divide(X_617,X_618),divide(divide(X_617,X_619),X_618)),X_619),zero) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(divide(X_617,X_618),divide(divide(X_617,X_619),X_618)),X_619),zero),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_72,plain,
    ( zero != zero
    | divide(divide(divide(divide(X_617,X_618),divide(divide(X_617,X_619),X_618)),X_619),zero) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_617,X_618),divide(divide(X_617,X_619),X_618)),X_619),zero),zero) )],[refute_0_70,refute_0_71]) ).

cnf(refute_0_73,plain,
    ( zero != zero
    | divide(divide(divide(X_617,X_618),divide(divide(X_617,X_619),X_618)),X_619) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_617,X_618),divide(divide(X_617,X_619),X_618)),X_619),zero),zero) )],[refute_0_72,refute_0_61]) ).

cnf(refute_0_74,plain,
    divide(divide(divide(X_617,X_618),divide(divide(X_617,X_619),X_618)),X_619) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_73]) ).

cnf(refute_0_75,plain,
    divide(divide(divide(X_827,X_828),divide(divide(X_827,Z),X_828)),Z) = zero,
    inference(subst,[],[refute_0_74:[bind(X_617,$fot(X_827)),bind(X_618,$fot(X_828)),bind(X_619,$fot(Z))]]) ).

cnf(refute_0_76,plain,
    ( divide(divide(divide(X_827,X_828),divide(divide(X_827,Z),X_828)),Z) != zero
    | zero != zero
    | divide(divide(divide(X_827,X_828),divide(divide(X_827,Z),X_828)),Z) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(X_827,X_828),divide(divide(X_827,Z),X_828)),Z),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_77,plain,
    ( zero != zero
    | divide(divide(divide(X_827,X_828),divide(divide(X_827,Z),X_828)),Z) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_827,X_828),divide(divide(X_827,Z),X_828)),Z),zero) )],[refute_0_75,refute_0_76]) ).

cnf(refute_0_78,plain,
    ( zero != zero
    | divide(divide(divide(X_827,X_828),Z),divide(divide(X_827,Z),X_828)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_827,X_828),divide(divide(X_827,Z),X_828)),Z),zero) )],[refute_0_77,refute_0_60]) ).

cnf(refute_0_79,plain,
    divide(divide(divide(X_827,X_828),Z),divide(divide(X_827,Z),X_828)) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_78]) ).

cnf(refute_0_80,plain,
    divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(X_1003,X_1002),X_1004)) = zero,
    inference(subst,[],[refute_0_79:[bind(Z,$fot(X_1002)),bind(X_827,$fot(X_1003)),bind(X_828,$fot(X_1004))]]) ).

cnf(refute_0_81,plain,
    ( divide(divide(X_682,X_681),divide(X_682,divide(X_681,zero))) != zero
    | divide(divide(X_682,divide(X_681,zero)),divide(X_682,X_681)) != zero
    | divide(X_682,divide(X_681,zero)) = divide(X_682,X_681) ),
    inference(subst,[],[divide_and_equal:[bind(X,$fot(divide(X_682,divide(X_681,zero)))),bind(Y,$fot(divide(X_682,X_681)))]]) ).

cnf(refute_0_82,plain,
    ( divide(divide(divide(X_650,divide(X_649,zero)),divide(X_650,X_649)),zero) != zero
    | divide(divide(X_650,divide(X_649,zero)),divide(X_650,X_649)) = zero ),
    inference(subst,[],[refute_0_24:[bind(X_276,$fot(divide(divide(X_650,divide(X_649,zero)),divide(X_650,X_649))))]]) ).

cnf(refute_0_83,plain,
    ( divide(divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6)),zero) != zero
    | divide(zero,divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6))) != zero
    | zero = divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6)) ),
    inference(subst,[],[divide_and_equal:[bind(X,$fot(zero)),bind(Y,$fot(divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6))))]]) ).

cnf(refute_0_84,plain,
    ( divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,zero),X_6)) != zero
    | divide(divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6)),zero) = zero ),
    inference(subst,[],[property_of_divide1:[bind(X,$fot(divide(X_4,X_6))),bind(Y,$fot(zero)),bind(Z,$fot(divide(divide(X_4,zero),X_6)))]]) ).

cnf(refute_0_85,plain,
    divide(divide(divide(X_4,X_6),divide(zero,X_6)),divide(divide(X_4,zero),X_6)) = zero,
    inference(subst,[],[quotient_property:[bind(X,$fot(X_4)),bind(Y,$fot(zero)),bind(Z,$fot(X_6))]]) ).

cnf(refute_0_86,plain,
    divide(zero,X_6) = zero,
    inference(subst,[],[zero_is_smallest:[bind(X,$fot(X_6))]]) ).

cnf(refute_0_87,plain,
    ( divide(divide(divide(X_4,X_6),divide(zero,X_6)),divide(divide(X_4,zero),X_6)) != zero
    | divide(zero,X_6) != zero
    | divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,zero),X_6)) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_4,X_6),divide(zero,X_6)),divide(divide(X_4,zero),X_6)),zero) ),[0,0,1],$fot(zero)]]) ).

cnf(refute_0_88,plain,
    ( divide(divide(divide(X_4,X_6),divide(zero,X_6)),divide(divide(X_4,zero),X_6)) != zero
    | divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,zero),X_6)) = zero ),
    inference(resolve,[$cnf( $equal(divide(zero,X_6),zero) )],[refute_0_86,refute_0_87]) ).

cnf(refute_0_89,plain,
    divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,zero),X_6)) = zero,
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_4,X_6),divide(zero,X_6)),divide(divide(X_4,zero),X_6)),zero) )],[refute_0_85,refute_0_88]) ).

cnf(refute_0_90,plain,
    ( divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,zero),X_6)) != zero
    | zero != zero
    | divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,zero),X_6)) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,zero),X_6)),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_91,plain,
    ( zero != zero
    | divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,zero),X_6)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,zero),X_6)),zero) )],[refute_0_89,refute_0_90]) ).

cnf(refute_0_92,plain,
    ( zero != zero
    | divide(divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6)),zero) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,zero),X_6)),zero) )],[refute_0_91,refute_0_84]) ).

cnf(refute_0_93,plain,
    ( divide(zero,divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6))) != zero
    | zero != zero
    | zero = divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6)) ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6)),zero),zero) )],[refute_0_92,refute_0_83]) ).

cnf(refute_0_94,plain,
    ( divide(zero,divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6))) != zero
    | zero = divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6)) ),
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_93]) ).

cnf(refute_0_95,plain,
    divide(zero,divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6))) = zero,
    inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6))))]]) ).

cnf(refute_0_96,plain,
    ( divide(zero,divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6))) != zero
    | zero != zero
    | divide(zero,divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6))) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(zero,divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6))),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_97,plain,
    ( zero != zero
    | divide(zero,divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6))) = zero ),
    inference(resolve,[$cnf( $equal(divide(zero,divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6))),zero) )],[refute_0_95,refute_0_96]) ).

cnf(refute_0_98,plain,
    ( zero != zero
    | zero = divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6)) ),
    inference(resolve,[$cnf( $equal(divide(zero,divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6))),zero) )],[refute_0_97,refute_0_94]) ).

cnf(refute_0_99,plain,
    zero = divide(divide(X_4,X_6),divide(divide(X_4,zero),X_6)),
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_98]) ).

cnf(refute_0_100,plain,
    zero = divide(divide(divide(X_404,divide(X_403,zero)),divide(X_404,X_403)),divide(divide(divide(X_404,divide(X_403,zero)),zero),divide(X_404,X_403))),
    inference(subst,[],[refute_0_99:[bind(X_4,$fot(divide(X_404,divide(X_403,zero)))),bind(X_6,$fot(divide(X_404,X_403)))]]) ).

cnf(refute_0_101,plain,
    ( divide(divide(divide(divide(X_356,divide(X_355,zero)),zero),divide(X_356,X_355)),zero) != zero
    | divide(divide(divide(X_356,divide(X_355,zero)),zero),divide(X_356,X_355)) = zero ),
    inference(subst,[],[refute_0_24:[bind(X_276,$fot(divide(divide(divide(X_356,divide(X_355,zero)),zero),divide(X_356,X_355))))]]) ).

cnf(refute_0_102,plain,
    ( divide(divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6)),zero) != zero
    | divide(zero,divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6))) != zero
    | zero = divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6)) ),
    inference(subst,[],[divide_and_equal:[bind(X,$fot(zero)),bind(Y,$fot(divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6))))]]) ).

cnf(refute_0_103,plain,
    ( divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,divide(X_6,Y)),X_6)) != zero
    | divide(divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6)),zero) = zero ),
    inference(subst,[],[property_of_divide1:[bind(X,$fot(divide(X_4,X_6))),bind(Y,$fot(zero)),bind(Z,$fot(divide(divide(X_4,divide(X_6,Y)),X_6)))]]) ).

cnf(refute_0_104,plain,
    ( zero != zero
    | divide(divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6)),zero) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,divide(X_6,Y)),X_6)),zero) )],[refute_0_33,refute_0_103]) ).

cnf(refute_0_105,plain,
    ( divide(zero,divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6))) != zero
    | zero != zero
    | zero = divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6)) ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6)),zero),zero) )],[refute_0_104,refute_0_102]) ).

cnf(refute_0_106,plain,
    ( divide(zero,divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6))) != zero
    | zero = divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6)) ),
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_105]) ).

cnf(refute_0_107,plain,
    divide(zero,divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6))) = zero,
    inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6))))]]) ).

cnf(refute_0_108,plain,
    ( divide(zero,divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6))) != zero
    | zero != zero
    | divide(zero,divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6))) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(zero,divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6))),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_109,plain,
    ( zero != zero
    | divide(zero,divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6))) = zero ),
    inference(resolve,[$cnf( $equal(divide(zero,divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6))),zero) )],[refute_0_107,refute_0_108]) ).

cnf(refute_0_110,plain,
    ( zero != zero
    | zero = divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6)) ),
    inference(resolve,[$cnf( $equal(divide(zero,divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6))),zero) )],[refute_0_109,refute_0_106]) ).

cnf(refute_0_111,plain,
    zero = divide(divide(X_4,X_6),divide(divide(X_4,divide(X_6,Y)),X_6)),
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_110]) ).

cnf(refute_0_112,plain,
    zero = divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),divide(X_181,Y))),
    inference(subst,[],[refute_0_111:[bind(Y,$fot(zero)),bind(X_4,$fot(divide(divide(X_181,divide(Y,zero)),zero))),bind(X_6,$fot(divide(X_181,Y)))]]) ).

cnf(refute_0_113,plain,
    ( divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),zero) != zero
    | divide(zero,divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero))) != zero
    | zero = divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)) ),
    inference(subst,[],[divide_and_equal:[bind(X,$fot(zero)),bind(Y,$fot(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero))))]]) ).

cnf(refute_0_114,plain,
    ( divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,zero),X_6)) != zero
    | divide(divide(divide(divide(X_4,X_6),zero),X_165),divide(divide(divide(X_4,zero),X_6),X_165)) = zero ),
    inference(subst,[],[property_of_divide3:[bind(X,$fot(divide(divide(X_4,X_6),zero))),bind(Y,$fot(divide(divide(X_4,zero),X_6))),bind(Z,$fot(X_165))]]) ).

cnf(refute_0_115,plain,
    ( zero != zero
    | divide(divide(divide(divide(X_4,X_6),zero),X_165),divide(divide(divide(X_4,zero),X_6),X_165)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,zero),X_6)),zero) )],[refute_0_91,refute_0_114]) ).

cnf(refute_0_116,plain,
    divide(divide(divide(divide(X_4,X_6),zero),X_165),divide(divide(divide(X_4,zero),X_6),X_165)) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_115]) ).

cnf(refute_0_117,plain,
    divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),divide(divide(divide(X_181,zero),divide(Y,zero)),divide(divide(X_181,Y),zero))) = zero,
    inference(subst,[],[refute_0_116:[bind(X_165,$fot(divide(divide(X_181,Y),zero))),bind(X_4,$fot(X_181)),bind(X_6,$fot(divide(Y,zero)))]]) ).

cnf(refute_0_118,plain,
    divide(divide(divide(X_181,zero),divide(Y,zero)),divide(divide(X_181,Y),zero)) = zero,
    inference(subst,[],[quotient_property:[bind(X,$fot(X_181)),bind(Z,$fot(zero))]]) ).

cnf(refute_0_119,plain,
    ( divide(divide(divide(X_181,zero),divide(Y,zero)),divide(divide(X_181,Y),zero)) != zero
    | divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),divide(divide(divide(X_181,zero),divide(Y,zero)),divide(divide(X_181,Y),zero))) != zero
    | divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),zero) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),divide(divide(divide(X_181,zero),divide(Y,zero)),divide(divide(X_181,Y),zero))),zero) ),[0,1],$fot(zero)]]) ).

cnf(refute_0_120,plain,
    ( divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),divide(divide(divide(X_181,zero),divide(Y,zero)),divide(divide(X_181,Y),zero))) != zero
    | divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),zero) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_181,zero),divide(Y,zero)),divide(divide(X_181,Y),zero)),zero) )],[refute_0_118,refute_0_119]) ).

cnf(refute_0_121,plain,
    divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),zero) = zero,
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),divide(divide(divide(X_181,zero),divide(Y,zero)),divide(divide(X_181,Y),zero))),zero) )],[refute_0_117,refute_0_120]) ).

cnf(refute_0_122,plain,
    ( divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),zero) != zero
    | zero != zero
    | divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),zero) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),zero),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_123,plain,
    ( zero != zero
    | divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),zero) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),zero),zero) )],[refute_0_121,refute_0_122]) ).

cnf(refute_0_124,plain,
    ( divide(zero,divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero))) != zero
    | zero != zero
    | zero = divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)) ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),zero),zero) )],[refute_0_123,refute_0_113]) ).

cnf(refute_0_125,plain,
    ( divide(zero,divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero))) != zero
    | zero = divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)) ),
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_124]) ).

cnf(refute_0_126,plain,
    divide(zero,divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero))) = zero,
    inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero))))]]) ).

cnf(refute_0_127,plain,
    ( divide(zero,divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero))) != zero
    | zero != zero
    | divide(zero,divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero))) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(zero,divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero))),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_128,plain,
    ( zero != zero
    | divide(zero,divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero))) = zero ),
    inference(resolve,[$cnf( $equal(divide(zero,divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero))),zero) )],[refute_0_126,refute_0_127]) ).

cnf(refute_0_129,plain,
    ( zero != zero
    | zero = divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)) ),
    inference(resolve,[$cnf( $equal(divide(zero,divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero))),zero) )],[refute_0_128,refute_0_125]) ).

cnf(refute_0_130,plain,
    zero = divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_129]) ).

cnf(refute_0_131,plain,
    X0 = X0,
    introduced(tautology,[refl,[$fot(X0)]]) ).

cnf(refute_0_132,plain,
    ( X0 != X0
    | X0 != Y0
    | Y0 = X0 ),
    introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).

cnf(refute_0_133,plain,
    ( X0 != Y0
    | Y0 = X0 ),
    inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_131,refute_0_132]) ).

cnf(refute_0_134,plain,
    ( zero != divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero))
    | divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)) = zero ),
    inference(subst,[],[refute_0_133:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero))))]]) ).

cnf(refute_0_135,plain,
    divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)) = zero,
    inference(resolve,[$cnf( $equal(zero,divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero))) )],[refute_0_130,refute_0_134]) ).

cnf(refute_0_136,plain,
    ( divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)) != zero
    | zero != divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),divide(X_181,Y)))
    | zero = divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),divide(X_181,Y)))) ),[1,1,0],$fot(zero)]]) ).

cnf(refute_0_137,plain,
    ( zero != divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),divide(X_181,Y)))
    | zero = divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y))) ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),zero) )],[refute_0_135,refute_0_136]) ).

cnf(refute_0_138,plain,
    zero = divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y))),
    inference(resolve,[$cnf( $equal(zero,divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(divide(X_181,Y),zero)),divide(X_181,Y)))) )],[refute_0_112,refute_0_137]) ).

cnf(refute_0_139,plain,
    divide(zero,divide(X_181,Y)) = zero,
    inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(X_181,Y)))]]) ).

cnf(refute_0_140,plain,
    divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y))) = divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y))),
    introduced(tautology,[refl,[$fot(divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y))))]]) ).

cnf(refute_0_141,plain,
    ( divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y))) != divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y)))
    | divide(zero,divide(X_181,Y)) != zero
    | divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y))) = divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y))),divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y)))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_142,plain,
    ( divide(zero,divide(X_181,Y)) != zero
    | divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y))) = divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),zero) ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y))),divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y)))) )],[refute_0_140,refute_0_141]) ).

cnf(refute_0_143,plain,
    divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y))) = divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),zero),
    inference(resolve,[$cnf( $equal(divide(zero,divide(X_181,Y)),zero) )],[refute_0_139,refute_0_142]) ).

cnf(refute_0_144,plain,
    ( divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y))) != divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),zero)
    | zero != divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y)))
    | zero = divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y)))) ),[1],$fot(divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),zero))]]) ).

cnf(refute_0_145,plain,
    ( zero != divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y)))
    | zero = divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),zero) ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y))),divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),zero)) )],[refute_0_143,refute_0_144]) ).

cnf(refute_0_146,plain,
    zero = divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),zero),
    inference(resolve,[$cnf( $equal(zero,divide(divide(divide(divide(X_181,divide(Y,zero)),zero),divide(X_181,Y)),divide(zero,divide(X_181,Y)))) )],[refute_0_138,refute_0_145]) ).

cnf(refute_0_147,plain,
    zero = divide(divide(divide(divide(X_356,divide(X_355,zero)),zero),divide(X_356,X_355)),zero),
    inference(subst,[],[refute_0_146:[bind(Y,$fot(X_355)),bind(X_181,$fot(X_356))]]) ).

cnf(refute_0_148,plain,
    ( zero != divide(divide(divide(divide(X_356,divide(X_355,zero)),zero),divide(X_356,X_355)),zero)
    | divide(divide(divide(divide(X_356,divide(X_355,zero)),zero),divide(X_356,X_355)),zero) = zero ),
    inference(subst,[],[refute_0_133:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(divide(divide(X_356,divide(X_355,zero)),zero),divide(X_356,X_355)),zero)))]]) ).

cnf(refute_0_149,plain,
    divide(divide(divide(divide(X_356,divide(X_355,zero)),zero),divide(X_356,X_355)),zero) = zero,
    inference(resolve,[$cnf( $equal(zero,divide(divide(divide(divide(X_356,divide(X_355,zero)),zero),divide(X_356,X_355)),zero)) )],[refute_0_147,refute_0_148]) ).

cnf(refute_0_150,plain,
    ( divide(divide(divide(divide(X_356,divide(X_355,zero)),zero),divide(X_356,X_355)),zero) != zero
    | zero != zero
    | divide(divide(divide(divide(X_356,divide(X_355,zero)),zero),divide(X_356,X_355)),zero) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(divide(X_356,divide(X_355,zero)),zero),divide(X_356,X_355)),zero),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_151,plain,
    ( zero != zero
    | divide(divide(divide(divide(X_356,divide(X_355,zero)),zero),divide(X_356,X_355)),zero) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_356,divide(X_355,zero)),zero),divide(X_356,X_355)),zero),zero) )],[refute_0_149,refute_0_150]) ).

cnf(refute_0_152,plain,
    ( zero != zero
    | divide(divide(divide(X_356,divide(X_355,zero)),zero),divide(X_356,X_355)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_356,divide(X_355,zero)),zero),divide(X_356,X_355)),zero),zero) )],[refute_0_151,refute_0_101]) ).

cnf(refute_0_153,plain,
    divide(divide(divide(X_356,divide(X_355,zero)),zero),divide(X_356,X_355)) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_152]) ).

cnf(refute_0_154,plain,
    divide(divide(divide(X_404,divide(X_403,zero)),zero),divide(X_404,X_403)) = zero,
    inference(subst,[],[refute_0_153:[bind(X_355,$fot(X_403)),bind(X_356,$fot(X_404))]]) ).

cnf(refute_0_155,plain,
    ( divide(divide(divide(X_404,divide(X_403,zero)),zero),divide(X_404,X_403)) != zero
    | zero != divide(divide(divide(X_404,divide(X_403,zero)),divide(X_404,X_403)),divide(divide(divide(X_404,divide(X_403,zero)),zero),divide(X_404,X_403)))
    | zero = divide(divide(divide(X_404,divide(X_403,zero)),divide(X_404,X_403)),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,divide(divide(divide(X_404,divide(X_403,zero)),divide(X_404,X_403)),divide(divide(divide(X_404,divide(X_403,zero)),zero),divide(X_404,X_403)))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_156,plain,
    ( zero != divide(divide(divide(X_404,divide(X_403,zero)),divide(X_404,X_403)),divide(divide(divide(X_404,divide(X_403,zero)),zero),divide(X_404,X_403)))
    | zero = divide(divide(divide(X_404,divide(X_403,zero)),divide(X_404,X_403)),zero) ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_404,divide(X_403,zero)),zero),divide(X_404,X_403)),zero) )],[refute_0_154,refute_0_155]) ).

cnf(refute_0_157,plain,
    zero = divide(divide(divide(X_404,divide(X_403,zero)),divide(X_404,X_403)),zero),
    inference(resolve,[$cnf( $equal(zero,divide(divide(divide(X_404,divide(X_403,zero)),divide(X_404,X_403)),divide(divide(divide(X_404,divide(X_403,zero)),zero),divide(X_404,X_403)))) )],[refute_0_100,refute_0_156]) ).

cnf(refute_0_158,plain,
    zero = divide(divide(divide(X_650,divide(X_649,zero)),divide(X_650,X_649)),zero),
    inference(subst,[],[refute_0_157:[bind(X_403,$fot(X_649)),bind(X_404,$fot(X_650))]]) ).

cnf(refute_0_159,plain,
    ( zero != divide(divide(divide(X_650,divide(X_649,zero)),divide(X_650,X_649)),zero)
    | divide(divide(divide(X_650,divide(X_649,zero)),divide(X_650,X_649)),zero) = zero ),
    inference(subst,[],[refute_0_133:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(divide(X_650,divide(X_649,zero)),divide(X_650,X_649)),zero)))]]) ).

cnf(refute_0_160,plain,
    divide(divide(divide(X_650,divide(X_649,zero)),divide(X_650,X_649)),zero) = zero,
    inference(resolve,[$cnf( $equal(zero,divide(divide(divide(X_650,divide(X_649,zero)),divide(X_650,X_649)),zero)) )],[refute_0_158,refute_0_159]) ).

cnf(refute_0_161,plain,
    ( divide(divide(divide(X_650,divide(X_649,zero)),divide(X_650,X_649)),zero) != zero
    | zero != zero
    | divide(divide(divide(X_650,divide(X_649,zero)),divide(X_650,X_649)),zero) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(X_650,divide(X_649,zero)),divide(X_650,X_649)),zero),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_162,plain,
    ( zero != zero
    | divide(divide(divide(X_650,divide(X_649,zero)),divide(X_650,X_649)),zero) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_650,divide(X_649,zero)),divide(X_650,X_649)),zero),zero) )],[refute_0_160,refute_0_161]) ).

cnf(refute_0_163,plain,
    ( zero != zero
    | divide(divide(X_650,divide(X_649,zero)),divide(X_650,X_649)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_650,divide(X_649,zero)),divide(X_650,X_649)),zero),zero) )],[refute_0_162,refute_0_82]) ).

cnf(refute_0_164,plain,
    divide(divide(X_650,divide(X_649,zero)),divide(X_650,X_649)) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_163]) ).

cnf(refute_0_165,plain,
    divide(divide(X_682,divide(X_681,zero)),divide(X_682,X_681)) = zero,
    inference(subst,[],[refute_0_164:[bind(X_649,$fot(X_681)),bind(X_650,$fot(X_682))]]) ).

cnf(refute_0_166,plain,
    ( divide(divide(X_682,divide(X_681,zero)),divide(X_682,X_681)) != zero
    | zero != zero
    | divide(divide(X_682,divide(X_681,zero)),divide(X_682,X_681)) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(X_682,divide(X_681,zero)),divide(X_682,X_681)),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_167,plain,
    ( zero != zero
    | divide(divide(X_682,divide(X_681,zero)),divide(X_682,X_681)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(X_682,divide(X_681,zero)),divide(X_682,X_681)),zero) )],[refute_0_165,refute_0_166]) ).

cnf(refute_0_168,plain,
    ( divide(divide(X_682,X_681),divide(X_682,divide(X_681,zero))) != zero
    | zero != zero
    | divide(X_682,divide(X_681,zero)) = divide(X_682,X_681) ),
    inference(resolve,[$cnf( $equal(divide(divide(X_682,divide(X_681,zero)),divide(X_682,X_681)),zero) )],[refute_0_167,refute_0_81]) ).

cnf(refute_0_169,plain,
    ( divide(divide(X_682,X_681),divide(X_682,divide(X_681,zero))) != zero
    | divide(X_682,divide(X_681,zero)) = divide(X_682,X_681) ),
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_168]) ).

cnf(refute_0_170,plain,
    ( divide(divide(divide(X_407,X_405),divide(X_407,divide(X_405,X_406))),zero) != zero
    | divide(divide(X_407,X_405),divide(X_407,divide(X_405,X_406))) = zero ),
    inference(subst,[],[refute_0_24:[bind(X_276,$fot(divide(divide(X_407,X_405),divide(X_407,divide(X_405,X_406)))))]]) ).

cnf(refute_0_171,plain,
    zero = divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(divide(divide(X_321,Y),divide(divide(X_321,divide(Y,X_320)),Y)),divide(X_321,divide(Y,X_320)))),
    inference(subst,[],[refute_0_111:[bind(X_4,$fot(divide(X_321,Y))),bind(X_6,$fot(divide(X_321,divide(Y,X_320))))]]) ).

cnf(refute_0_172,plain,
    zero = divide(divide(X_321,Y),divide(divide(X_321,divide(Y,X_320)),Y)),
    inference(subst,[],[refute_0_111:[bind(Y,$fot(X_320)),bind(X_4,$fot(X_321)),bind(X_6,$fot(Y))]]) ).

cnf(refute_0_173,plain,
    ( zero != divide(divide(X_321,Y),divide(divide(X_321,divide(Y,X_320)),Y))
    | divide(divide(X_321,Y),divide(divide(X_321,divide(Y,X_320)),Y)) = zero ),
    inference(subst,[],[refute_0_133:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(X_321,Y),divide(divide(X_321,divide(Y,X_320)),Y))))]]) ).

cnf(refute_0_174,plain,
    divide(divide(X_321,Y),divide(divide(X_321,divide(Y,X_320)),Y)) = zero,
    inference(resolve,[$cnf( $equal(zero,divide(divide(X_321,Y),divide(divide(X_321,divide(Y,X_320)),Y))) )],[refute_0_172,refute_0_173]) ).

cnf(refute_0_175,plain,
    ( divide(divide(X_321,Y),divide(divide(X_321,divide(Y,X_320)),Y)) != zero
    | zero != divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(divide(divide(X_321,Y),divide(divide(X_321,divide(Y,X_320)),Y)),divide(X_321,divide(Y,X_320))))
    | zero = divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320)))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(divide(divide(X_321,Y),divide(divide(X_321,divide(Y,X_320)),Y)),divide(X_321,divide(Y,X_320))))) ),[1,1,0],$fot(zero)]]) ).

cnf(refute_0_176,plain,
    ( zero != divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(divide(divide(X_321,Y),divide(divide(X_321,divide(Y,X_320)),Y)),divide(X_321,divide(Y,X_320))))
    | zero = divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320)))) ),
    inference(resolve,[$cnf( $equal(divide(divide(X_321,Y),divide(divide(X_321,divide(Y,X_320)),Y)),zero) )],[refute_0_174,refute_0_175]) ).

cnf(refute_0_177,plain,
    zero = divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320)))),
    inference(resolve,[$cnf( $equal(zero,divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(divide(divide(X_321,Y),divide(divide(X_321,divide(Y,X_320)),Y)),divide(X_321,divide(Y,X_320))))) )],[refute_0_171,refute_0_176]) ).

cnf(refute_0_178,plain,
    divide(zero,divide(X_321,divide(Y,X_320))) = zero,
    inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(X_321,divide(Y,X_320))))]]) ).

cnf(refute_0_179,plain,
    divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320)))) = divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320)))),
    introduced(tautology,[refl,[$fot(divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320)))))]]) ).

cnf(refute_0_180,plain,
    ( divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320)))) != divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320))))
    | divide(zero,divide(X_321,divide(Y,X_320))) != zero
    | divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320)))) = divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320)))),divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_181,plain,
    ( divide(zero,divide(X_321,divide(Y,X_320))) != zero
    | divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320)))) = divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),zero) ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320)))),divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320))))) )],[refute_0_179,refute_0_180]) ).

cnf(refute_0_182,plain,
    divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320)))) = divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),zero),
    inference(resolve,[$cnf( $equal(divide(zero,divide(X_321,divide(Y,X_320))),zero) )],[refute_0_178,refute_0_181]) ).

cnf(refute_0_183,plain,
    ( divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320)))) != divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),zero)
    | zero != divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320))))
    | zero = divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320))))) ),[1],$fot(divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),zero))]]) ).

cnf(refute_0_184,plain,
    ( zero != divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320))))
    | zero = divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),zero) ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320)))),divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),zero)) )],[refute_0_182,refute_0_183]) ).

cnf(refute_0_185,plain,
    zero = divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),zero),
    inference(resolve,[$cnf( $equal(zero,divide(divide(divide(X_321,Y),divide(X_321,divide(Y,X_320))),divide(zero,divide(X_321,divide(Y,X_320))))) )],[refute_0_177,refute_0_184]) ).

cnf(refute_0_186,plain,
    zero = divide(divide(divide(X_407,X_405),divide(X_407,divide(X_405,X_406))),zero),
    inference(subst,[],[refute_0_185:[bind(Y,$fot(X_405)),bind(X_320,$fot(X_406)),bind(X_321,$fot(X_407))]]) ).

cnf(refute_0_187,plain,
    ( zero != divide(divide(divide(X_407,X_405),divide(X_407,divide(X_405,X_406))),zero)
    | divide(divide(divide(X_407,X_405),divide(X_407,divide(X_405,X_406))),zero) = zero ),
    inference(subst,[],[refute_0_133:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(divide(X_407,X_405),divide(X_407,divide(X_405,X_406))),zero)))]]) ).

cnf(refute_0_188,plain,
    divide(divide(divide(X_407,X_405),divide(X_407,divide(X_405,X_406))),zero) = zero,
    inference(resolve,[$cnf( $equal(zero,divide(divide(divide(X_407,X_405),divide(X_407,divide(X_405,X_406))),zero)) )],[refute_0_186,refute_0_187]) ).

cnf(refute_0_189,plain,
    ( divide(divide(divide(X_407,X_405),divide(X_407,divide(X_405,X_406))),zero) != zero
    | zero != zero
    | divide(divide(divide(X_407,X_405),divide(X_407,divide(X_405,X_406))),zero) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(X_407,X_405),divide(X_407,divide(X_405,X_406))),zero),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_190,plain,
    ( zero != zero
    | divide(divide(divide(X_407,X_405),divide(X_407,divide(X_405,X_406))),zero) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_407,X_405),divide(X_407,divide(X_405,X_406))),zero),zero) )],[refute_0_188,refute_0_189]) ).

cnf(refute_0_191,plain,
    ( zero != zero
    | divide(divide(X_407,X_405),divide(X_407,divide(X_405,X_406))) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_407,X_405),divide(X_407,divide(X_405,X_406))),zero),zero) )],[refute_0_190,refute_0_170]) ).

cnf(refute_0_192,plain,
    divide(divide(X_407,X_405),divide(X_407,divide(X_405,X_406))) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_191]) ).

cnf(refute_0_193,plain,
    divide(divide(X_682,X_681),divide(X_682,divide(X_681,zero))) = zero,
    inference(subst,[],[refute_0_192:[bind(X_405,$fot(X_681)),bind(X_406,$fot(zero)),bind(X_407,$fot(X_682))]]) ).

cnf(refute_0_194,plain,
    ( divide(divide(X_682,X_681),divide(X_682,divide(X_681,zero))) != zero
    | zero != zero
    | divide(divide(X_682,X_681),divide(X_682,divide(X_681,zero))) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(X_682,X_681),divide(X_682,divide(X_681,zero))),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_195,plain,
    ( zero != zero
    | divide(divide(X_682,X_681),divide(X_682,divide(X_681,zero))) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(X_682,X_681),divide(X_682,divide(X_681,zero))),zero) )],[refute_0_193,refute_0_194]) ).

cnf(refute_0_196,plain,
    ( zero != zero
    | divide(X_682,divide(X_681,zero)) = divide(X_682,X_681) ),
    inference(resolve,[$cnf( $equal(divide(divide(X_682,X_681),divide(X_682,divide(X_681,zero))),zero) )],[refute_0_195,refute_0_169]) ).

cnf(refute_0_197,plain,
    divide(X_682,divide(X_681,zero)) = divide(X_682,X_681),
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_196]) ).

cnf(refute_0_198,plain,
    divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(divide(X_1003,X_1002),X_1004),zero)) = divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(X_1003,X_1002),X_1004)),
    inference(subst,[],[refute_0_197:[bind(X_681,$fot(divide(divide(X_1003,X_1002),X_1004))),bind(X_682,$fot(divide(divide(X_1003,X_1004),X_1002)))]]) ).

cnf(refute_0_199,plain,
    ( Y0 != X0
    | Y0 != Z0
    | X0 = Z0 ),
    introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).

cnf(refute_0_200,plain,
    ( X0 != Y0
    | Y0 != Z0
    | X0 = Z0 ),
    inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_133,refute_0_199]) ).

cnf(refute_0_201,plain,
    ( divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(X_1003,X_1002),X_1004)) != zero
    | divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(divide(X_1003,X_1002),X_1004),zero)) != divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(X_1003,X_1002),X_1004))
    | divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(divide(X_1003,X_1002),X_1004),zero)) = zero ),
    inference(subst,[],[refute_0_200:[bind(X0,$fot(divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(divide(X_1003,X_1002),X_1004),zero)))),bind(Y0,$fot(divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(X_1003,X_1002),X_1004)))),bind(Z0,$fot(zero))]]) ).

cnf(refute_0_202,plain,
    ( divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(X_1003,X_1002),X_1004)) != zero
    | divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(divide(X_1003,X_1002),X_1004),zero)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(divide(X_1003,X_1002),X_1004),zero)),divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(X_1003,X_1002),X_1004))) )],[refute_0_198,refute_0_201]) ).

cnf(refute_0_203,plain,
    divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(divide(X_1003,X_1002),X_1004),zero)) = zero,
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(X_1003,X_1002),X_1004)),zero) )],[refute_0_80,refute_0_202]) ).

cnf(refute_0_204,plain,
    ( divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(divide(X_1003,X_1002),X_1004),zero)) != zero
    | zero != zero
    | divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(divide(X_1003,X_1002),X_1004),zero)) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(divide(X_1003,X_1002),X_1004),zero)),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_205,plain,
    ( zero != zero
    | divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(divide(X_1003,X_1002),X_1004),zero)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(divide(X_1003,X_1002),X_1004),zero)),zero) )],[refute_0_203,refute_0_204]) ).

cnf(refute_0_206,plain,
    ( zero != zero
    | divide(divide(divide(X_1003,X_1002),X_1004),zero) = divide(divide(X_1003,X_1004),X_1002) ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_1003,X_1004),X_1002),divide(divide(divide(X_1003,X_1002),X_1004),zero)),zero) )],[refute_0_205,refute_0_59]) ).

cnf(refute_0_207,plain,
    divide(divide(divide(X_1003,X_1002),X_1004),zero) = divide(divide(X_1003,X_1004),X_1002),
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_206]) ).

cnf(refute_0_208,plain,
    divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero) = divide(divide(X_118,divide(X_119,X_120)),X_120),
    inference(subst,[],[refute_0_207:[bind(X_1002,$fot(X_120)),bind(X_1003,$fot(X_118)),bind(X_1004,$fot(divide(X_119,X_120)))]]) ).

cnf(refute_0_209,plain,
    divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))) = divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))),
    introduced(tautology,[refl,[$fot(divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))))]]) ).

cnf(refute_0_210,plain,
    ( divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero) != divide(divide(X_118,divide(X_119,X_120)),X_120)
    | divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))) != divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120)))
    | divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))) = divide(divide(divide(X_118,divide(X_119,X_120)),X_120),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))),divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120)))) ),[1,0],$fot(divide(divide(X_118,divide(X_119,X_120)),X_120))]]) ).

cnf(refute_0_211,plain,
    ( divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero) != divide(divide(X_118,divide(X_119,X_120)),X_120)
    | divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))) = divide(divide(divide(X_118,divide(X_119,X_120)),X_120),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))) ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))),divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120)))) )],[refute_0_209,refute_0_210]) ).

cnf(refute_0_212,plain,
    divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))) = divide(divide(divide(X_118,divide(X_119,X_120)),X_120),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(X_118,divide(X_119,X_120)),X_120)) )],[refute_0_208,refute_0_211]) ).

cnf(refute_0_213,plain,
    ( divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))) != divide(divide(divide(X_118,divide(X_119,X_120)),X_120),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120)))
    | divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))) != zero
    | divide(divide(divide(X_118,divide(X_119,X_120)),X_120),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))),zero) ),[0],$fot(divide(divide(divide(X_118,divide(X_119,X_120)),X_120),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))))]]) ).

cnf(refute_0_214,plain,
    ( divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))) != zero
    | divide(divide(divide(X_118,divide(X_119,X_120)),X_120),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))),divide(divide(divide(X_118,divide(X_119,X_120)),X_120),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120)))) )],[refute_0_212,refute_0_213]) ).

cnf(refute_0_215,plain,
    divide(divide(divide(X_118,divide(X_119,X_120)),X_120),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))) = zero,
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_118,X_120),divide(X_119,X_120)),zero),divide(divide(divide(X_118,X_119),X_120),divide(X_119,X_120))),zero) )],[refute_0_17,refute_0_214]) ).

cnf(refute_0_216,plain,
    divide(divide(divide(X_1064,divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))) = zero,
    inference(subst,[],[refute_0_215:[bind(X_118,$fot(X_1064)),bind(X_119,$fot(divide(X,divide(divide(identity,X_1066),X_1066)))),bind(X_120,$fot(X_1066))]]) ).

cnf(refute_0_217,plain,
    ( divide(divide(X,Y),divide(divide(identity,Y),Y)) != zero
    | divide(divide(X,divide(divide(identity,Y),Y)),Y) = zero ),
    inference(subst,[],[property_of_divide1:[bind(Z,$fot(divide(divide(identity,Y),Y)))]]) ).

cnf(refute_0_218,plain,
    ( divide(divide(divide(X,Z),divide(divide(identity,Z),Z)),zero) != zero
    | divide(zero,divide(divide(X,Z),divide(divide(identity,Z),Z))) != zero
    | zero = divide(divide(X,Z),divide(divide(identity,Z),Z)) ),
    inference(subst,[],[divide_and_equal:[bind(X,$fot(zero)),bind(Y,$fot(divide(divide(X,Z),divide(divide(identity,Z),Z))))]]) ).

cnf(refute_0_219,plain,
    divide(divide(divide(X,Z),divide(divide(identity,Z),Z)),divide(divide(X,divide(identity,Z)),Z)) = zero,
    inference(subst,[],[quotient_property:[bind(Y,$fot(divide(identity,Z)))]]) ).

cnf(refute_0_220,plain,
    ( divide(divide(X,Y),divide(identity,Y)) != zero
    | divide(divide(X,divide(identity,Y)),Y) = zero ),
    inference(subst,[],[property_of_divide1:[bind(Z,$fot(divide(identity,Y)))]]) ).

cnf(refute_0_221,plain,
    ( divide(X_163,identity) != zero
    | divide(divide(X_163,X_165),divide(identity,X_165)) = zero ),
    inference(subst,[],[property_of_divide3:[bind(X,$fot(X_163)),bind(Y,$fot(identity)),bind(Z,$fot(X_165))]]) ).

cnf(refute_0_222,plain,
    divide(X_163,identity) = zero,
    inference(subst,[],[identity_is_largest:[bind(X,$fot(X_163))]]) ).

cnf(refute_0_223,plain,
    ( divide(X_163,identity) != zero
    | zero != zero
    | divide(X_163,identity) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_163,identity),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_224,plain,
    ( zero != zero
    | divide(X_163,identity) = zero ),
    inference(resolve,[$cnf( $equal(divide(X_163,identity),zero) )],[refute_0_222,refute_0_223]) ).

cnf(refute_0_225,plain,
    ( zero != zero
    | divide(divide(X_163,X_165),divide(identity,X_165)) = zero ),
    inference(resolve,[$cnf( $equal(divide(X_163,identity),zero) )],[refute_0_224,refute_0_221]) ).

cnf(refute_0_226,plain,
    divide(divide(X_163,X_165),divide(identity,X_165)) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_225]) ).

cnf(refute_0_227,plain,
    divide(divide(X,Y),divide(identity,Y)) = zero,
    inference(subst,[],[refute_0_226:[bind(X_163,$fot(X)),bind(X_165,$fot(Y))]]) ).

cnf(refute_0_228,plain,
    ( divide(divide(X,Y),divide(identity,Y)) != zero
    | zero != zero
    | divide(divide(X,Y),divide(identity,Y)) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(X,Y),divide(identity,Y)),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_229,plain,
    ( zero != zero
    | divide(divide(X,Y),divide(identity,Y)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(X,Y),divide(identity,Y)),zero) )],[refute_0_227,refute_0_228]) ).

cnf(refute_0_230,plain,
    ( zero != zero
    | divide(divide(X,divide(identity,Y)),Y) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(X,Y),divide(identity,Y)),zero) )],[refute_0_229,refute_0_220]) ).

cnf(refute_0_231,plain,
    divide(divide(X,divide(identity,Y)),Y) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_230]) ).

cnf(refute_0_232,plain,
    divide(divide(X,divide(identity,Z)),Z) = zero,
    inference(subst,[],[refute_0_231:[bind(Y,$fot(Z))]]) ).

cnf(refute_0_233,plain,
    ( divide(divide(X,divide(identity,Z)),Z) != zero
    | divide(divide(divide(X,Z),divide(divide(identity,Z),Z)),divide(divide(X,divide(identity,Z)),Z)) != zero
    | divide(divide(divide(X,Z),divide(divide(identity,Z),Z)),zero) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X,Z),divide(divide(identity,Z),Z)),divide(divide(X,divide(identity,Z)),Z)),zero) ),[0,1],$fot(zero)]]) ).

cnf(refute_0_234,plain,
    ( divide(divide(divide(X,Z),divide(divide(identity,Z),Z)),divide(divide(X,divide(identity,Z)),Z)) != zero
    | divide(divide(divide(X,Z),divide(divide(identity,Z),Z)),zero) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(X,divide(identity,Z)),Z),zero) )],[refute_0_232,refute_0_233]) ).

cnf(refute_0_235,plain,
    divide(divide(divide(X,Z),divide(divide(identity,Z),Z)),zero) = zero,
    inference(resolve,[$cnf( $equal(divide(divide(divide(X,Z),divide(divide(identity,Z),Z)),divide(divide(X,divide(identity,Z)),Z)),zero) )],[refute_0_219,refute_0_234]) ).

cnf(refute_0_236,plain,
    ( divide(divide(divide(X,Z),divide(divide(identity,Z),Z)),zero) != zero
    | zero != zero
    | divide(divide(divide(X,Z),divide(divide(identity,Z),Z)),zero) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(X,Z),divide(divide(identity,Z),Z)),zero),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_237,plain,
    ( zero != zero
    | divide(divide(divide(X,Z),divide(divide(identity,Z),Z)),zero) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X,Z),divide(divide(identity,Z),Z)),zero),zero) )],[refute_0_235,refute_0_236]) ).

cnf(refute_0_238,plain,
    ( divide(zero,divide(divide(X,Z),divide(divide(identity,Z),Z))) != zero
    | zero != zero
    | zero = divide(divide(X,Z),divide(divide(identity,Z),Z)) ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X,Z),divide(divide(identity,Z),Z)),zero),zero) )],[refute_0_237,refute_0_218]) ).

cnf(refute_0_239,plain,
    ( divide(zero,divide(divide(X,Z),divide(divide(identity,Z),Z))) != zero
    | zero = divide(divide(X,Z),divide(divide(identity,Z),Z)) ),
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_238]) ).

cnf(refute_0_240,plain,
    divide(zero,divide(divide(X,Z),divide(divide(identity,Z),Z))) = zero,
    inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(divide(X,Z),divide(divide(identity,Z),Z))))]]) ).

cnf(refute_0_241,plain,
    ( divide(zero,divide(divide(X,Z),divide(divide(identity,Z),Z))) != zero
    | zero != zero
    | divide(zero,divide(divide(X,Z),divide(divide(identity,Z),Z))) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(zero,divide(divide(X,Z),divide(divide(identity,Z),Z))),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_242,plain,
    ( zero != zero
    | divide(zero,divide(divide(X,Z),divide(divide(identity,Z),Z))) = zero ),
    inference(resolve,[$cnf( $equal(divide(zero,divide(divide(X,Z),divide(divide(identity,Z),Z))),zero) )],[refute_0_240,refute_0_241]) ).

cnf(refute_0_243,plain,
    ( zero != zero
    | zero = divide(divide(X,Z),divide(divide(identity,Z),Z)) ),
    inference(resolve,[$cnf( $equal(divide(zero,divide(divide(X,Z),divide(divide(identity,Z),Z))),zero) )],[refute_0_242,refute_0_239]) ).

cnf(refute_0_244,plain,
    zero = divide(divide(X,Z),divide(divide(identity,Z),Z)),
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_243]) ).

cnf(refute_0_245,plain,
    zero = divide(divide(X,Y),divide(divide(identity,Y),Y)),
    inference(subst,[],[refute_0_244:[bind(Z,$fot(Y))]]) ).

cnf(refute_0_246,plain,
    ( zero != divide(divide(X,Y),divide(divide(identity,Y),Y))
    | divide(divide(X,Y),divide(divide(identity,Y),Y)) = zero ),
    inference(subst,[],[refute_0_133:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(X,Y),divide(divide(identity,Y),Y))))]]) ).

cnf(refute_0_247,plain,
    divide(divide(X,Y),divide(divide(identity,Y),Y)) = zero,
    inference(resolve,[$cnf( $equal(zero,divide(divide(X,Y),divide(divide(identity,Y),Y))) )],[refute_0_245,refute_0_246]) ).

cnf(refute_0_248,plain,
    ( divide(divide(X,Y),divide(divide(identity,Y),Y)) != zero
    | zero != zero
    | divide(divide(X,Y),divide(divide(identity,Y),Y)) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(X,Y),divide(divide(identity,Y),Y)),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_249,plain,
    ( zero != zero
    | divide(divide(X,Y),divide(divide(identity,Y),Y)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(X,Y),divide(divide(identity,Y),Y)),zero) )],[refute_0_247,refute_0_248]) ).

cnf(refute_0_250,plain,
    ( zero != zero
    | divide(divide(X,divide(divide(identity,Y),Y)),Y) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(X,Y),divide(divide(identity,Y),Y)),zero) )],[refute_0_249,refute_0_217]) ).

cnf(refute_0_251,plain,
    divide(divide(X,divide(divide(identity,Y),Y)),Y) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_250]) ).

cnf(refute_0_252,plain,
    divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066) = zero,
    inference(subst,[],[refute_0_251:[bind(Y,$fot(X_1066))]]) ).

cnf(refute_0_253,plain,
    ( divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066) != zero
    | divide(divide(divide(X_1064,divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))) != zero
    | divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_1064,divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))),zero) ),[0,0,0,1],$fot(zero)]]) ).

cnf(refute_0_254,plain,
    ( divide(divide(divide(X_1064,divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))) != zero
    | divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066),zero) )],[refute_0_252,refute_0_253]) ).

cnf(refute_0_255,plain,
    divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))) = zero,
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_1064,divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))),zero) )],[refute_0_216,refute_0_254]) ).

cnf(refute_0_256,plain,
    divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),zero) = divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))),
    inference(subst,[],[refute_0_207:[bind(X_1002,$fot(divide(X,divide(divide(identity,X_1066),X_1066)))),bind(X_1003,$fot(X_1064)),bind(X_1004,$fot(X_1066))]]) ).

cnf(refute_0_257,plain,
    divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)) = divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)),
    introduced(tautology,[refl,[$fot(divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)))]]) ).

cnf(refute_0_258,plain,
    ( divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066) != zero
    | divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)) != divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))
    | divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)) = divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_259,plain,
    ( divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066) != zero
    | divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)) = divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),zero) ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))) )],[refute_0_257,refute_0_258]) ).

cnf(refute_0_260,plain,
    divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)) = divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),zero),
    inference(resolve,[$cnf( $equal(divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066),zero) )],[refute_0_252,refute_0_259]) ).

cnf(refute_0_261,plain,
    ( divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)) != divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),zero)
    | divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),zero) != divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))
    | divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)) = divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))) ),
    inference(subst,[],[refute_0_200:[bind(X0,$fot(divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)))),bind(Y0,$fot(divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),zero))),bind(Z0,$fot(divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))))]]) ).

cnf(refute_0_262,plain,
    ( divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),zero) != divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))
    | divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)) = divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))) ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),zero)) )],[refute_0_260,refute_0_261]) ).

cnf(refute_0_263,plain,
    divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)) = divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),zero),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) )],[refute_0_256,refute_0_262]) ).

cnf(refute_0_264,plain,
    divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))) = divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))),
    introduced(tautology,[refl,[$fot(divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))))]]) ).

cnf(refute_0_265,plain,
    ( divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)) != divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))
    | divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))) != divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)))
    | divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))) = divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))),divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)))) ),[1,1],$fot(divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))))]]) ).

cnf(refute_0_266,plain,
    ( divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)) != divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))
    | divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))) = divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))),divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)))) )],[refute_0_264,refute_0_265]) ).

cnf(refute_0_267,plain,
    divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))) = divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066)),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) )],[refute_0_263,refute_0_266]) ).

cnf(refute_0_268,plain,
    ( divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))) != divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))))
    | divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))) != zero
    | divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))),zero) ),[0],$fot(divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))))]]) ).

cnf(refute_0_269,plain,
    ( divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))) != zero
    | divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))),divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))))) )],[refute_0_267,refute_0_268]) ).

cnf(refute_0_270,plain,
    divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) = zero,
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_1064,zero),X_1066),divide(divide(divide(X_1064,divide(X,divide(divide(identity,X_1066),X_1066))),X_1066),divide(divide(X,divide(divide(identity,X_1066),X_1066)),X_1066))),zero) )],[refute_0_255,refute_0_269]) ).

cnf(refute_0_271,plain,
    ( divide(divide(X_611,X_1107),divide(divide(X_611,X_1107),X_1107)) != zero
    | divide(X_611,X_1107) = divide(divide(X_611,X_1107),X_1107) ),
    inference(subst,[],[refute_0_6:[bind(Y,$fot(X_1107)),bind(X_276,$fot(divide(X_611,X_1107)))]]) ).

cnf(refute_0_272,plain,
    ( divide(divide(divide(X_611,X_612),divide(divide(X_611,X_612),X_612)),zero) != zero
    | divide(divide(X_611,X_612),divide(divide(X_611,X_612),X_612)) = zero ),
    inference(subst,[],[refute_0_24:[bind(X_276,$fot(divide(divide(X_611,X_612),divide(divide(X_611,X_612),X_612))))]]) ).

cnf(refute_0_273,plain,
    divide(divide(divide(X,Z),divide(divide(X,Z),Z)),divide(divide(X,divide(X,Z)),Z)) = zero,
    inference(subst,[],[quotient_property:[bind(Y,$fot(divide(X,Z)))]]) ).

cnf(refute_0_274,plain,
    ( divide(divide(divide(X_316,divide(X_316,X_315)),X_315),zero) != zero
    | divide(zero,divide(divide(X_316,divide(X_316,X_315)),X_315)) != zero
    | divide(divide(X_316,divide(X_316,X_315)),X_315) = zero ),
    inference(subst,[],[divide_and_equal:[bind(X,$fot(divide(divide(X_316,divide(X_316,X_315)),X_315))),bind(Y,$fot(zero))]]) ).

cnf(refute_0_275,plain,
    ( divide(divide(divide(X_289,divide(X_289,Z)),zero),Z) != zero
    | divide(divide(divide(X_289,divide(X_289,Z)),Z),zero) = zero ),
    inference(subst,[],[property_of_divide1:[bind(X,$fot(divide(X_289,divide(X_289,Z)))),bind(Y,$fot(zero))]]) ).

cnf(refute_0_276,plain,
    ( divide(divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165),zero) != zero
    | divide(zero,divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165)) != zero
    | zero = divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165) ),
    inference(subst,[],[divide_and_equal:[bind(X,$fot(zero)),bind(Y,$fot(divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165)))]]) ).

cnf(refute_0_277,plain,
    divide(divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165),divide(divide(divide(X_4,zero),divide(X_4,X_165)),X_165)) = zero,
    inference(subst,[],[refute_0_116:[bind(X_6,$fot(divide(X_4,X_165)))]]) ).

cnf(refute_0_278,plain,
    ( divide(divide(divide(X_171,X_170),Y),divide(X_171,Y)) != zero
    | divide(divide(divide(X_171,X_170),divide(X_171,Y)),Y) = zero ),
    inference(subst,[],[property_of_divide1:[bind(X,$fot(divide(X_171,X_170))),bind(Z,$fot(divide(X_171,Y)))]]) ).

cnf(refute_0_279,plain,
    ( divide(divide(X_164,Y),X_164) != zero
    | divide(divide(divide(X_164,Y),X_165),divide(X_164,X_165)) = zero ),
    inference(subst,[],[property_of_divide3:[bind(X,$fot(divide(X_164,Y))),bind(Y,$fot(X_164)),bind(Z,$fot(X_165))]]) ).

cnf(refute_0_280,plain,
    divide(divide(X_164,Y),X_164) = zero,
    inference(subst,[],[quotient_smaller_than_numerator:[bind(X,$fot(X_164))]]) ).

cnf(refute_0_281,plain,
    ( divide(divide(X_164,Y),X_164) != zero
    | zero != zero
    | divide(divide(X_164,Y),X_164) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(X_164,Y),X_164),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_282,plain,
    ( zero != zero
    | divide(divide(X_164,Y),X_164) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(X_164,Y),X_164),zero) )],[refute_0_280,refute_0_281]) ).

cnf(refute_0_283,plain,
    ( zero != zero
    | divide(divide(divide(X_164,Y),X_165),divide(X_164,X_165)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(X_164,Y),X_164),zero) )],[refute_0_282,refute_0_279]) ).

cnf(refute_0_284,plain,
    divide(divide(divide(X_164,Y),X_165),divide(X_164,X_165)) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_283]) ).

cnf(refute_0_285,plain,
    divide(divide(divide(X_171,X_170),Y),divide(X_171,Y)) = zero,
    inference(subst,[],[refute_0_284:[bind(Y,$fot(X_170)),bind(X_164,$fot(X_171)),bind(X_165,$fot(Y))]]) ).

cnf(refute_0_286,plain,
    ( divide(divide(divide(X_171,X_170),Y),divide(X_171,Y)) != zero
    | zero != zero
    | divide(divide(divide(X_171,X_170),Y),divide(X_171,Y)) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(X_171,X_170),Y),divide(X_171,Y)),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_287,plain,
    ( zero != zero
    | divide(divide(divide(X_171,X_170),Y),divide(X_171,Y)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_171,X_170),Y),divide(X_171,Y)),zero) )],[refute_0_285,refute_0_286]) ).

cnf(refute_0_288,plain,
    ( zero != zero
    | divide(divide(divide(X_171,X_170),divide(X_171,Y)),Y) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_171,X_170),Y),divide(X_171,Y)),zero) )],[refute_0_287,refute_0_278]) ).

cnf(refute_0_289,plain,
    divide(divide(divide(X_171,X_170),divide(X_171,Y)),Y) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_288]) ).

cnf(refute_0_290,plain,
    divide(divide(divide(X_4,zero),divide(X_4,X_165)),X_165) = zero,
    inference(subst,[],[refute_0_289:[bind(Y,$fot(X_165)),bind(X_170,$fot(zero)),bind(X_171,$fot(X_4))]]) ).

cnf(refute_0_291,plain,
    ( divide(divide(divide(X_4,zero),divide(X_4,X_165)),X_165) != zero
    | divide(divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165),divide(divide(divide(X_4,zero),divide(X_4,X_165)),X_165)) != zero
    | divide(divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165),zero) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165),divide(divide(divide(X_4,zero),divide(X_4,X_165)),X_165)),zero) ),[0,1],$fot(zero)]]) ).

cnf(refute_0_292,plain,
    ( divide(divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165),divide(divide(divide(X_4,zero),divide(X_4,X_165)),X_165)) != zero
    | divide(divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165),zero) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_4,zero),divide(X_4,X_165)),X_165),zero) )],[refute_0_290,refute_0_291]) ).

cnf(refute_0_293,plain,
    divide(divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165),zero) = zero,
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165),divide(divide(divide(X_4,zero),divide(X_4,X_165)),X_165)),zero) )],[refute_0_277,refute_0_292]) ).

cnf(refute_0_294,plain,
    ( divide(divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165),zero) != zero
    | zero != zero
    | divide(divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165),zero) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165),zero),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_295,plain,
    ( zero != zero
    | divide(divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165),zero) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165),zero),zero) )],[refute_0_293,refute_0_294]) ).

cnf(refute_0_296,plain,
    ( divide(zero,divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165)) != zero
    | zero != zero
    | zero = divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165) ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165),zero),zero) )],[refute_0_295,refute_0_276]) ).

cnf(refute_0_297,plain,
    ( divide(zero,divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165)) != zero
    | zero = divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165) ),
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_296]) ).

cnf(refute_0_298,plain,
    divide(zero,divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165)) = zero,
    inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165)))]]) ).

cnf(refute_0_299,plain,
    ( divide(zero,divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165)) != zero
    | zero != zero
    | divide(zero,divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165)) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(zero,divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165)),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_300,plain,
    ( zero != zero
    | divide(zero,divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165)) = zero ),
    inference(resolve,[$cnf( $equal(divide(zero,divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165)),zero) )],[refute_0_298,refute_0_299]) ).

cnf(refute_0_301,plain,
    ( zero != zero
    | zero = divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165) ),
    inference(resolve,[$cnf( $equal(divide(zero,divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165)),zero) )],[refute_0_300,refute_0_297]) ).

cnf(refute_0_302,plain,
    zero = divide(divide(divide(X_4,divide(X_4,X_165)),zero),X_165),
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_301]) ).

cnf(refute_0_303,plain,
    zero = divide(divide(divide(X_289,divide(X_289,Z)),zero),Z),
    inference(subst,[],[refute_0_302:[bind(X_165,$fot(Z)),bind(X_4,$fot(X_289))]]) ).

cnf(refute_0_304,plain,
    ( zero != divide(divide(divide(X_289,divide(X_289,Z)),zero),Z)
    | divide(divide(divide(X_289,divide(X_289,Z)),zero),Z) = zero ),
    inference(subst,[],[refute_0_133:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(divide(X_289,divide(X_289,Z)),zero),Z)))]]) ).

cnf(refute_0_305,plain,
    divide(divide(divide(X_289,divide(X_289,Z)),zero),Z) = zero,
    inference(resolve,[$cnf( $equal(zero,divide(divide(divide(X_289,divide(X_289,Z)),zero),Z)) )],[refute_0_303,refute_0_304]) ).

cnf(refute_0_306,plain,
    ( divide(divide(divide(X_289,divide(X_289,Z)),zero),Z) != zero
    | zero != zero
    | divide(divide(divide(X_289,divide(X_289,Z)),zero),Z) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(X_289,divide(X_289,Z)),zero),Z),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_307,plain,
    ( zero != zero
    | divide(divide(divide(X_289,divide(X_289,Z)),zero),Z) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_289,divide(X_289,Z)),zero),Z),zero) )],[refute_0_305,refute_0_306]) ).

cnf(refute_0_308,plain,
    ( zero != zero
    | divide(divide(divide(X_289,divide(X_289,Z)),Z),zero) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_289,divide(X_289,Z)),zero),Z),zero) )],[refute_0_307,refute_0_275]) ).

cnf(refute_0_309,plain,
    divide(divide(divide(X_289,divide(X_289,Z)),Z),zero) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_308]) ).

cnf(refute_0_310,plain,
    divide(divide(divide(X_316,divide(X_316,X_315)),X_315),zero) = zero,
    inference(subst,[],[refute_0_309:[bind(Z,$fot(X_315)),bind(X_289,$fot(X_316))]]) ).

cnf(refute_0_311,plain,
    ( divide(divide(divide(X_316,divide(X_316,X_315)),X_315),zero) != zero
    | zero != zero
    | divide(divide(divide(X_316,divide(X_316,X_315)),X_315),zero) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(X_316,divide(X_316,X_315)),X_315),zero),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_312,plain,
    ( zero != zero
    | divide(divide(divide(X_316,divide(X_316,X_315)),X_315),zero) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_316,divide(X_316,X_315)),X_315),zero),zero) )],[refute_0_310,refute_0_311]) ).

cnf(refute_0_313,plain,
    ( divide(zero,divide(divide(X_316,divide(X_316,X_315)),X_315)) != zero
    | zero != zero
    | divide(divide(X_316,divide(X_316,X_315)),X_315) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_316,divide(X_316,X_315)),X_315),zero),zero) )],[refute_0_312,refute_0_274]) ).

cnf(refute_0_314,plain,
    ( divide(zero,divide(divide(X_316,divide(X_316,X_315)),X_315)) != zero
    | divide(divide(X_316,divide(X_316,X_315)),X_315) = zero ),
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_313]) ).

cnf(refute_0_315,plain,
    divide(zero,divide(divide(X_316,divide(X_316,X_315)),X_315)) = zero,
    inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(divide(X_316,divide(X_316,X_315)),X_315)))]]) ).

cnf(refute_0_316,plain,
    ( divide(zero,divide(divide(X_316,divide(X_316,X_315)),X_315)) != zero
    | zero != zero
    | divide(zero,divide(divide(X_316,divide(X_316,X_315)),X_315)) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(zero,divide(divide(X_316,divide(X_316,X_315)),X_315)),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_317,plain,
    ( zero != zero
    | divide(zero,divide(divide(X_316,divide(X_316,X_315)),X_315)) = zero ),
    inference(resolve,[$cnf( $equal(divide(zero,divide(divide(X_316,divide(X_316,X_315)),X_315)),zero) )],[refute_0_315,refute_0_316]) ).

cnf(refute_0_318,plain,
    ( zero != zero
    | divide(divide(X_316,divide(X_316,X_315)),X_315) = zero ),
    inference(resolve,[$cnf( $equal(divide(zero,divide(divide(X_316,divide(X_316,X_315)),X_315)),zero) )],[refute_0_317,refute_0_314]) ).

cnf(refute_0_319,plain,
    divide(divide(X_316,divide(X_316,X_315)),X_315) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_318]) ).

cnf(refute_0_320,plain,
    divide(divide(X,divide(X,Z)),Z) = zero,
    inference(subst,[],[refute_0_319:[bind(X_315,$fot(Z)),bind(X_316,$fot(X))]]) ).

cnf(refute_0_321,plain,
    ( divide(divide(X,divide(X,Z)),Z) != zero
    | divide(divide(divide(X,Z),divide(divide(X,Z),Z)),divide(divide(X,divide(X,Z)),Z)) != zero
    | divide(divide(divide(X,Z),divide(divide(X,Z),Z)),zero) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X,Z),divide(divide(X,Z),Z)),divide(divide(X,divide(X,Z)),Z)),zero) ),[0,1],$fot(zero)]]) ).

cnf(refute_0_322,plain,
    ( divide(divide(divide(X,Z),divide(divide(X,Z),Z)),divide(divide(X,divide(X,Z)),Z)) != zero
    | divide(divide(divide(X,Z),divide(divide(X,Z),Z)),zero) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(X,divide(X,Z)),Z),zero) )],[refute_0_320,refute_0_321]) ).

cnf(refute_0_323,plain,
    divide(divide(divide(X,Z),divide(divide(X,Z),Z)),zero) = zero,
    inference(resolve,[$cnf( $equal(divide(divide(divide(X,Z),divide(divide(X,Z),Z)),divide(divide(X,divide(X,Z)),Z)),zero) )],[refute_0_273,refute_0_322]) ).

cnf(refute_0_324,plain,
    divide(divide(divide(X_611,X_612),divide(divide(X_611,X_612),X_612)),zero) = zero,
    inference(subst,[],[refute_0_323:[bind(X,$fot(X_611)),bind(Z,$fot(X_612))]]) ).

cnf(refute_0_325,plain,
    ( divide(divide(divide(X_611,X_612),divide(divide(X_611,X_612),X_612)),zero) != zero
    | zero != zero
    | divide(divide(divide(X_611,X_612),divide(divide(X_611,X_612),X_612)),zero) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(X_611,X_612),divide(divide(X_611,X_612),X_612)),zero),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_326,plain,
    ( zero != zero
    | divide(divide(divide(X_611,X_612),divide(divide(X_611,X_612),X_612)),zero) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_611,X_612),divide(divide(X_611,X_612),X_612)),zero),zero) )],[refute_0_324,refute_0_325]) ).

cnf(refute_0_327,plain,
    ( zero != zero
    | divide(divide(X_611,X_612),divide(divide(X_611,X_612),X_612)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_611,X_612),divide(divide(X_611,X_612),X_612)),zero),zero) )],[refute_0_326,refute_0_272]) ).

cnf(refute_0_328,plain,
    divide(divide(X_611,X_612),divide(divide(X_611,X_612),X_612)) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_327]) ).

cnf(refute_0_329,plain,
    divide(divide(X_611,X_1107),divide(divide(X_611,X_1107),X_1107)) = zero,
    inference(subst,[],[refute_0_328:[bind(X_612,$fot(X_1107))]]) ).

cnf(refute_0_330,plain,
    ( divide(divide(X_611,X_1107),divide(divide(X_611,X_1107),X_1107)) != zero
    | zero != zero
    | divide(divide(X_611,X_1107),divide(divide(X_611,X_1107),X_1107)) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(X_611,X_1107),divide(divide(X_611,X_1107),X_1107)),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_331,plain,
    ( zero != zero
    | divide(divide(X_611,X_1107),divide(divide(X_611,X_1107),X_1107)) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(X_611,X_1107),divide(divide(X_611,X_1107),X_1107)),zero) )],[refute_0_329,refute_0_330]) ).

cnf(refute_0_332,plain,
    ( zero != zero
    | divide(X_611,X_1107) = divide(divide(X_611,X_1107),X_1107) ),
    inference(resolve,[$cnf( $equal(divide(divide(X_611,X_1107),divide(divide(X_611,X_1107),X_1107)),zero) )],[refute_0_331,refute_0_271]) ).

cnf(refute_0_333,plain,
    divide(X_611,X_1107) = divide(divide(X_611,X_1107),X_1107),
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_332]) ).

cnf(refute_0_334,plain,
    ( divide(X_611,X_1107) != divide(divide(X_611,X_1107),X_1107)
    | divide(divide(X_611,X_1107),X_1107) = divide(X_611,X_1107) ),
    inference(subst,[],[refute_0_133:[bind(X0,$fot(divide(X_611,X_1107))),bind(Y0,$fot(divide(divide(X_611,X_1107),X_1107)))]]) ).

cnf(refute_0_335,plain,
    divide(divide(X_611,X_1107),X_1107) = divide(X_611,X_1107),
    inference(resolve,[$cnf( $equal(divide(X_611,X_1107),divide(divide(X_611,X_1107),X_1107)) )],[refute_0_333,refute_0_334]) ).

cnf(refute_0_336,plain,
    divide(divide(identity,X_1066),X_1066) = divide(identity,X_1066),
    inference(subst,[],[refute_0_335:[bind(X_1107,$fot(X_1066)),bind(X_611,$fot(identity))]]) ).

cnf(refute_0_337,plain,
    divide(X,divide(divide(identity,X_1066),X_1066)) = divide(X,divide(divide(identity,X_1066),X_1066)),
    introduced(tautology,[refl,[$fot(divide(X,divide(divide(identity,X_1066),X_1066)))]]) ).

cnf(refute_0_338,plain,
    ( divide(X,divide(divide(identity,X_1066),X_1066)) != divide(X,divide(divide(identity,X_1066),X_1066))
    | divide(divide(identity,X_1066),X_1066) != divide(identity,X_1066)
    | divide(X,divide(divide(identity,X_1066),X_1066)) = divide(X,divide(identity,X_1066)) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(divide(identity,X_1066),X_1066)),divide(X,divide(divide(identity,X_1066),X_1066))) ),[1,1],$fot(divide(identity,X_1066))]]) ).

cnf(refute_0_339,plain,
    ( divide(divide(identity,X_1066),X_1066) != divide(identity,X_1066)
    | divide(X,divide(divide(identity,X_1066),X_1066)) = divide(X,divide(identity,X_1066)) ),
    inference(resolve,[$cnf( $equal(divide(X,divide(divide(identity,X_1066),X_1066)),divide(X,divide(divide(identity,X_1066),X_1066))) )],[refute_0_337,refute_0_338]) ).

cnf(refute_0_340,plain,
    divide(X,divide(divide(identity,X_1066),X_1066)) = divide(X,divide(identity,X_1066)),
    inference(resolve,[$cnf( $equal(divide(divide(identity,X_1066),X_1066),divide(identity,X_1066)) )],[refute_0_336,refute_0_339]) ).

cnf(refute_0_341,plain,
    divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))) = divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))),
    introduced(tautology,[refl,[$fot(divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))))]]) ).

cnf(refute_0_342,plain,
    ( divide(X,divide(divide(identity,X_1066),X_1066)) != divide(X,divide(identity,X_1066))
    | divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))) != divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))
    | divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))) = divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066))) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) ),[1,1],$fot(divide(X,divide(identity,X_1066)))]]) ).

cnf(refute_0_343,plain,
    ( divide(X,divide(divide(identity,X_1066),X_1066)) != divide(X,divide(identity,X_1066))
    | divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))) = divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066))) ),
    inference(resolve,[$cnf( $equal(divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) )],[refute_0_341,refute_0_342]) ).

cnf(refute_0_344,plain,
    divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))) = divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066))),
    inference(resolve,[$cnf( $equal(divide(X,divide(divide(identity,X_1066),X_1066)),divide(X,divide(identity,X_1066))) )],[refute_0_340,refute_0_343]) ).

cnf(refute_0_345,plain,
    divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) = divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))),
    introduced(tautology,[refl,[$fot(divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))))]]) ).

cnf(refute_0_346,plain,
    ( divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))) != divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066)))
    | divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) != divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))))
    | divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) = divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066)))) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))),divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))))) ),[1,1],$fot(divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066))))]]) ).

cnf(refute_0_347,plain,
    ( divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))) != divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066)))
    | divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) = divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066)))) ),
    inference(resolve,[$cnf( $equal(divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))),divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))))) )],[refute_0_345,refute_0_346]) ).

cnf(refute_0_348,plain,
    divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) = divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066)))),
    inference(resolve,[$cnf( $equal(divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))),divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066)))) )],[refute_0_344,refute_0_347]) ).

cnf(refute_0_349,plain,
    ( divide(X_1108,divide(X_1108,zero)) != zero
    | X_1108 = divide(X_1108,zero) ),
    inference(subst,[],[refute_0_6:[bind(Y,$fot(zero)),bind(X_276,$fot(X_1108))]]) ).

cnf(refute_0_350,plain,
    divide(X_1108,divide(X_1108,zero)) = divide(X_1108,X_1108),
    inference(subst,[],[refute_0_197:[bind(X_681,$fot(X_1108)),bind(X_682,$fot(X_1108))]]) ).

cnf(refute_0_351,plain,
    ( divide(X_1108,X_1108) != zero
    | divide(X_1108,divide(X_1108,zero)) != divide(X_1108,X_1108)
    | divide(X_1108,divide(X_1108,zero)) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(divide(X_1108,divide(X_1108,zero)),divide(X_1108,X_1108)) ),[1],$fot(zero)]]) ).

cnf(refute_0_352,plain,
    ( divide(X_1108,X_1108) != zero
    | divide(X_1108,divide(X_1108,zero)) = zero ),
    inference(resolve,[$cnf( $equal(divide(X_1108,divide(X_1108,zero)),divide(X_1108,X_1108)) )],[refute_0_350,refute_0_351]) ).

cnf(refute_0_353,plain,
    ( divide(X_1108,X_1108) != zero
    | X_1108 = divide(X_1108,zero) ),
    inference(resolve,[$cnf( $equal(divide(X_1108,divide(X_1108,zero)),zero) )],[refute_0_352,refute_0_349]) ).

cnf(refute_0_354,plain,
    ( divide(divide(X_93,X_93),zero) != zero
    | divide(X_93,X_93) = zero ),
    inference(subst,[],[refute_0_24:[bind(X_276,$fot(divide(X_93,X_93)))]]) ).

cnf(refute_0_355,plain,
    ( divide(divide(X_93,X_92),X_93) != zero
    | divide(divide(X_93,X_93),X_92) = zero ),
    inference(subst,[],[property_of_divide1:[bind(X,$fot(X_93)),bind(Y,$fot(X_92)),bind(Z,$fot(X_93))]]) ).

cnf(refute_0_356,plain,
    divide(divide(X_93,X_92),X_93) = zero,
    inference(subst,[],[quotient_smaller_than_numerator:[bind(X,$fot(X_93)),bind(Y,$fot(X_92))]]) ).

cnf(refute_0_357,plain,
    ( divide(divide(X_93,X_92),X_93) != zero
    | zero != zero
    | divide(divide(X_93,X_92),X_93) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(X_93,X_92),X_93),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_358,plain,
    ( zero != zero
    | divide(divide(X_93,X_92),X_93) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(X_93,X_92),X_93),zero) )],[refute_0_356,refute_0_357]) ).

cnf(refute_0_359,plain,
    ( zero != zero
    | divide(divide(X_93,X_93),X_92) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(X_93,X_92),X_93),zero) )],[refute_0_358,refute_0_355]) ).

cnf(refute_0_360,plain,
    divide(divide(X_93,X_93),X_92) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_359]) ).

cnf(refute_0_361,plain,
    divide(divide(X_93,X_93),zero) = zero,
    inference(subst,[],[refute_0_360:[bind(X_92,$fot(zero))]]) ).

cnf(refute_0_362,plain,
    ( divide(divide(X_93,X_93),zero) != zero
    | zero != zero
    | divide(divide(X_93,X_93),zero) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(X_93,X_93),zero),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_363,plain,
    ( zero != zero
    | divide(divide(X_93,X_93),zero) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(X_93,X_93),zero),zero) )],[refute_0_361,refute_0_362]) ).

cnf(refute_0_364,plain,
    ( zero != zero
    | divide(X_93,X_93) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(X_93,X_93),zero),zero) )],[refute_0_363,refute_0_354]) ).

cnf(refute_0_365,plain,
    divide(X_93,X_93) = zero,
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_364]) ).

cnf(refute_0_366,plain,
    divide(X_1108,X_1108) = zero,
    inference(subst,[],[refute_0_365:[bind(X_93,$fot(X_1108))]]) ).

cnf(refute_0_367,plain,
    ( divide(X_1108,X_1108) != zero
    | zero != zero
    | divide(X_1108,X_1108) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_1108,X_1108),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_368,plain,
    ( zero != zero
    | divide(X_1108,X_1108) = zero ),
    inference(resolve,[$cnf( $equal(divide(X_1108,X_1108),zero) )],[refute_0_366,refute_0_367]) ).

cnf(refute_0_369,plain,
    ( zero != zero
    | X_1108 = divide(X_1108,zero) ),
    inference(resolve,[$cnf( $equal(divide(X_1108,X_1108),zero) )],[refute_0_368,refute_0_353]) ).

cnf(refute_0_370,plain,
    X_1108 = divide(X_1108,zero),
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_369]) ).

cnf(refute_0_371,plain,
    ( X_1108 != divide(X_1108,zero)
    | divide(X_1108,zero) = X_1108 ),
    inference(subst,[],[refute_0_133:[bind(X0,$fot(X_1108)),bind(Y0,$fot(divide(X_1108,zero)))]]) ).

cnf(refute_0_372,plain,
    divide(X_1108,zero) = X_1108,
    inference(resolve,[$cnf( $equal(X_1108,divide(X_1108,zero)) )],[refute_0_370,refute_0_371]) ).

cnf(refute_0_373,plain,
    divide(X_1064,zero) = X_1064,
    inference(subst,[],[refute_0_372:[bind(X_1108,$fot(X_1064))]]) ).

cnf(refute_0_374,plain,
    divide(divide(X_1064,zero),X_1066) = divide(divide(X_1064,zero),X_1066),
    introduced(tautology,[refl,[$fot(divide(divide(X_1064,zero),X_1066))]]) ).

cnf(refute_0_375,plain,
    ( divide(X_1064,zero) != X_1064
    | divide(divide(X_1064,zero),X_1066) != divide(divide(X_1064,zero),X_1066)
    | divide(divide(X_1064,zero),X_1066) = divide(X_1064,X_1066) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,zero),X_1066)) ),[1,0],$fot(X_1064)]]) ).

cnf(refute_0_376,plain,
    ( divide(X_1064,zero) != X_1064
    | divide(divide(X_1064,zero),X_1066) = divide(X_1064,X_1066) ),
    inference(resolve,[$cnf( $equal(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,zero),X_1066)) )],[refute_0_374,refute_0_375]) ).

cnf(refute_0_377,plain,
    divide(divide(X_1064,zero),X_1066) = divide(X_1064,X_1066),
    inference(resolve,[$cnf( $equal(divide(X_1064,zero),X_1064) )],[refute_0_373,refute_0_376]) ).

cnf(refute_0_378,plain,
    divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) = divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))),
    introduced(tautology,[refl,[$fot(divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))))]]) ).

cnf(refute_0_379,plain,
    ( divide(divide(X_1064,zero),X_1066) != divide(X_1064,X_1066)
    | divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) != divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))))
    | divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) = divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))),divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))))) ),[1,0],$fot(divide(X_1064,X_1066))]]) ).

cnf(refute_0_380,plain,
    ( divide(divide(X_1064,zero),X_1066) != divide(X_1064,X_1066)
    | divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) = divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))),divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))))) )],[refute_0_378,refute_0_379]) ).

cnf(refute_0_381,plain,
    divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) = divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))),
    inference(resolve,[$cnf( $equal(divide(divide(X_1064,zero),X_1066),divide(X_1064,X_1066)) )],[refute_0_377,refute_0_380]) ).

cnf(refute_0_382,plain,
    ( divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) != divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066))))
    | divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) != divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))))
    | divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) = divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066)))) ),
    inference(subst,[],[refute_0_200:[bind(X0,$fot(divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))))),bind(Y0,$fot(divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))))),bind(Z0,$fot(divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066))))))]]) ).

cnf(refute_0_383,plain,
    ( divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) != divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066))))
    | divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) = divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066)))) ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))),divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066))))) )],[refute_0_381,refute_0_382]) ).

cnf(refute_0_384,plain,
    divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) = divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066)))),
    inference(resolve,[$cnf( $equal(divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))),divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066))))) )],[refute_0_348,refute_0_383]) ).

cnf(refute_0_385,plain,
    ( divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) != divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066))))
    | divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) != zero
    | divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))),zero) ),[0],$fot(divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066)))))]]) ).

cnf(refute_0_386,plain,
    ( divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))) != zero
    | divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066)))) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))),divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066))))) )],[refute_0_384,refute_0_385]) ).

cnf(refute_0_387,plain,
    divide(divide(X_1064,X_1066),divide(divide(X_1064,X_1066),divide(X,divide(identity,X_1066)))) = zero,
    inference(resolve,[$cnf( $equal(divide(divide(divide(X_1064,zero),X_1066),divide(divide(X_1064,X_1066),divide(X,divide(divide(identity,X_1066),X_1066)))),zero) )],[refute_0_270,refute_0_386]) ).

cnf(refute_0_388,plain,
    divide(divide(X_1474,X_1475),divide(divide(X_1474,X_1475),divide(X_1473,divide(identity,X_1475)))) = zero,
    inference(subst,[],[refute_0_387:[bind(X,$fot(X_1473)),bind(X_1064,$fot(X_1474)),bind(X_1066,$fot(X_1475))]]) ).

cnf(refute_0_389,plain,
    ( divide(divide(X_1474,X_1475),divide(divide(X_1474,X_1475),divide(X_1473,divide(identity,X_1475)))) != zero
    | zero != zero
    | divide(divide(X_1474,X_1475),divide(divide(X_1474,X_1475),divide(X_1473,divide(identity,X_1475)))) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(X_1474,X_1475),divide(divide(X_1474,X_1475),divide(X_1473,divide(identity,X_1475)))),zero) ),[0],$fot(zero)]]) ).

cnf(refute_0_390,plain,
    ( zero != zero
    | divide(divide(X_1474,X_1475),divide(divide(X_1474,X_1475),divide(X_1473,divide(identity,X_1475)))) = zero ),
    inference(resolve,[$cnf( $equal(divide(divide(X_1474,X_1475),divide(divide(X_1474,X_1475),divide(X_1473,divide(identity,X_1475)))),zero) )],[refute_0_388,refute_0_389]) ).

cnf(refute_0_391,plain,
    ( zero != zero
    | divide(X_1474,X_1475) = divide(divide(X_1474,X_1475),divide(X_1473,divide(identity,X_1475))) ),
    inference(resolve,[$cnf( $equal(divide(divide(X_1474,X_1475),divide(divide(X_1474,X_1475),divide(X_1473,divide(identity,X_1475)))),zero) )],[refute_0_390,refute_0_7]) ).

cnf(refute_0_392,plain,
    divide(X_1474,X_1475) = divide(divide(X_1474,X_1475),divide(X_1473,divide(identity,X_1475))),
    inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_5,refute_0_391]) ).

cnf(refute_0_393,plain,
    ( divide(X_1474,X_1475) != divide(divide(X_1474,X_1475),divide(X_1473,divide(identity,X_1475)))
    | divide(divide(X_1474,X_1475),divide(X_1473,divide(identity,X_1475))) = divide(X_1474,X_1475) ),
    inference(subst,[],[refute_0_133:[bind(X0,$fot(divide(X_1474,X_1475))),bind(Y0,$fot(divide(divide(X_1474,X_1475),divide(X_1473,divide(identity,X_1475)))))]]) ).

cnf(refute_0_394,plain,
    divide(divide(X_1474,X_1475),divide(X_1473,divide(identity,X_1475))) = divide(X_1474,X_1475),
    inference(resolve,[$cnf( $equal(divide(X_1474,X_1475),divide(divide(X_1474,X_1475),divide(X_1473,divide(identity,X_1475)))) )],[refute_0_392,refute_0_393]) ).

cnf(refute_0_395,plain,
    divide(divide(identity,a),divide(identity,divide(identity,a))) = divide(identity,a),
    inference(subst,[],[refute_0_394:[bind(X_1473,$fot(identity)),bind(X_1474,$fot(identity)),bind(X_1475,$fot(a))]]) ).

cnf(refute_0_396,plain,
    ( divide(divide(identity,a),divide(identity,divide(identity,a))) != divide(identity,a)
    | divide(identity,a) != divide(identity,a)
    | divide(identity,a) = divide(divide(identity,a),divide(identity,divide(identity,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a)))) ),[1],$fot(divide(identity,a))]]) ).

cnf(refute_0_397,plain,
    ( divide(identity,a) != divide(identity,a)
    | divide(identity,a) = divide(divide(identity,a),divide(identity,divide(identity,a))) ),
    inference(resolve,[$cnf( $equal(divide(divide(identity,a),divide(identity,divide(identity,a))),divide(identity,a)) )],[refute_0_395,refute_0_396]) ).

cnf(refute_0_398,plain,
    divide(identity,a) != divide(identity,a),
    inference(resolve,[$cnf( $equal(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a)))) )],[refute_0_397,prove_this]) ).

cnf(refute_0_399,plain,
    divide(identity,a) = divide(identity,a),
    introduced(tautology,[refl,[$fot(divide(identity,a))]]) ).

cnf(refute_0_400,plain,
    $false,
    inference(resolve,[$cnf( $equal(divide(identity,a),divide(identity,a)) )],[refute_0_399,refute_0_398]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : HEN010-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jul  1 13:59:39 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 89.92/90.17  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 89.92/90.17  
% 89.92/90.17  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 90.02/90.20  
%------------------------------------------------------------------------------