TSTP Solution File: HEN009-4 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : HEN009-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 12:58:43 EDT 2022
% Result : Unsatisfiable 89.22s 89.44s
% Output : CNFRefutation 89.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 94
% Number of leaves : 124
% Syntax : Number of clauses : 579 ( 291 unt; 0 nHn; 376 RR)
% Number of literals : 970 ( 611 equ; 393 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 510 ( 28 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_less_equal1,axiom,
( ~ less_equal(X,Y)
| divide(X,Y) = zero ) ).
cnf(quotient_less_equal2,axiom,
( divide(X,Y) != zero
| less_equal(X,Y) ) ).
cnf(quotient_smaller_than_numerator,axiom,
less_equal(divide(X,Y),X) ).
cnf(quotient_property,axiom,
less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) ).
cnf(zero_is_smallest,axiom,
less_equal(zero,X) ).
cnf(less_equal_and_equal,axiom,
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| X = Y ) ).
cnf(identity_is_largest,axiom,
less_equal(X,identity) ).
cnf(zero_divide_anything_is_zero,axiom,
divide(zero,X) = zero ).
cnf(x_divide_x_is_zero,axiom,
divide(X,X) = zero ).
cnf(x_divide_zero_is_x,axiom,
divide(a,zero) = a ).
cnf(property_of_divide1,axiom,
( ~ less_equal(divide(X,Y),Z)
| less_equal(divide(X,Z),Y) ) ).
cnf(property_of_divide2,axiom,
( ~ less_equal(X,Y)
| less_equal(divide(Z,Y),divide(Z,X)) ) ).
cnf(property_of_divide3,axiom,
( ~ less_equal(X,Y)
| less_equal(divide(X,Z),divide(Y,Z)) ) ).
cnf(prove_this,negated_conjecture,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))) ).
cnf(refute_0_0,plain,
( ~ less_equal(divide(identity,divide(a,divide(identity,a))),divide(identity,a))
| ~ less_equal(divide(identity,a),divide(identity,divide(a,divide(identity,a))))
| divide(identity,a) = divide(identity,divide(a,divide(identity,a))) ),
inference(subst,[],[less_equal_and_equal:[bind(X,$fot(divide(identity,a))),bind(Y,$fot(divide(identity,divide(a,divide(identity,a)))))]]) ).
cnf(refute_0_1,plain,
( ~ less_equal(divide(identity,divide(identity,a)),divide(a,divide(identity,a)))
| less_equal(divide(identity,divide(a,divide(identity,a))),divide(identity,a)) ),
inference(subst,[],[property_of_divide1:[bind(X,$fot(identity)),bind(Y,$fot(divide(identity,a))),bind(Z,$fot(divide(a,divide(identity,a))))]]) ).
cnf(refute_0_2,plain,
( divide(X_12,X_12) != zero
| less_equal(X_12,X_12) ),
inference(subst,[],[quotient_less_equal2:[bind(X,$fot(X_12)),bind(Y,$fot(X_12))]]) ).
cnf(refute_0_3,plain,
divide(X_12,X_12) = zero,
inference(subst,[],[x_divide_x_is_zero:[bind(X,$fot(X_12))]]) ).
cnf(refute_0_4,plain,
( divide(X_12,X_12) != zero
| zero != zero
| divide(X_12,X_12) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_12,X_12),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_5,plain,
( zero != zero
| divide(X_12,X_12) = zero ),
inference(resolve,[$cnf( $equal(divide(X_12,X_12),zero) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( zero != zero
| less_equal(X_12,X_12) ),
inference(resolve,[$cnf( $equal(divide(X_12,X_12),zero) )],[refute_0_5,refute_0_2]) ).
cnf(refute_0_7,plain,
zero = zero,
introduced(tautology,[refl,[$fot(zero)]]) ).
cnf(refute_0_8,plain,
less_equal(X_12,X_12),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_7,refute_0_6]) ).
cnf(refute_0_9,plain,
less_equal(divide(X_69,X_70),divide(X_69,X_70)),
inference(subst,[],[refute_0_8:[bind(X_12,$fot(divide(X_69,X_70)))]]) ).
cnf(refute_0_10,plain,
( ~ less_equal(divide(X_69,X_70),divide(X_69,X_70))
| less_equal(divide(X_69,divide(X_69,X_70)),X_70) ),
inference(subst,[],[property_of_divide1:[bind(X,$fot(X_69)),bind(Y,$fot(X_70)),bind(Z,$fot(divide(X_69,X_70)))]]) ).
cnf(refute_0_11,plain,
less_equal(divide(X_69,divide(X_69,X_70)),X_70),
inference(resolve,[$cnf( less_equal(divide(X_69,X_70),divide(X_69,X_70)) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
less_equal(divide(X_69,divide(X_69,X_110)),X_110),
inference(subst,[],[refute_0_11:[bind(X_70,$fot(X_110))]]) ).
cnf(refute_0_13,plain,
( ~ less_equal(divide(X_69,divide(X_69,X_110)),X_110)
| less_equal(divide(X_111,X_110),divide(X_111,divide(X_69,divide(X_69,X_110)))) ),
inference(subst,[],[property_of_divide2:[bind(X,$fot(divide(X_69,divide(X_69,X_110)))),bind(Y,$fot(X_110)),bind(Z,$fot(X_111))]]) ).
cnf(refute_0_14,plain,
less_equal(divide(X_111,X_110),divide(X_111,divide(X_69,divide(X_69,X_110)))),
inference(resolve,[$cnf( less_equal(divide(X_69,divide(X_69,X_110)),X_110) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
less_equal(divide(identity,divide(identity,a)),divide(identity,divide(identity,divide(identity,divide(identity,a))))),
inference(subst,[],[refute_0_14:[bind(X_110,$fot(divide(identity,a))),bind(X_111,$fot(identity)),bind(X_69,$fot(identity))]]) ).
cnf(refute_0_16,plain,
( ~ less_equal(divide(a,divide(identity,a)),divide(identity,divide(identity,divide(identity,divide(identity,a)))))
| ~ less_equal(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a)))
| divide(a,divide(identity,a)) = divide(identity,divide(identity,divide(identity,divide(identity,a)))) ),
inference(subst,[],[less_equal_and_equal:[bind(X,$fot(divide(a,divide(identity,a)))),bind(Y,$fot(divide(identity,divide(identity,divide(identity,divide(identity,a))))))]]) ).
cnf(refute_0_17,plain,
( divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))) != zero
| less_equal(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))) ),
inference(subst,[],[quotient_less_equal2:[bind(X,$fot(divide(identity,divide(identity,divide(identity,divide(identity,a)))))),bind(Y,$fot(divide(a,divide(identity,a))))]]) ).
cnf(refute_0_18,plain,
less_equal(zero,X_318),
inference(subst,[],[zero_is_smallest:[bind(X,$fot(X_318))]]) ).
cnf(refute_0_19,plain,
( ~ less_equal(X_318,zero)
| ~ less_equal(zero,X_318)
| zero = X_318 ),
inference(subst,[],[less_equal_and_equal:[bind(X,$fot(zero)),bind(Y,$fot(X_318))]]) ).
cnf(refute_0_20,plain,
( ~ less_equal(X_318,zero)
| zero = X_318 ),
inference(resolve,[$cnf( less_equal(zero,X_318) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ less_equal(divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))),zero)
| zero = divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))) ),
inference(subst,[],[refute_0_20:[bind(X_318,$fot(divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a)))))]]) ).
cnf(refute_0_22,plain,
( ~ less_equal(X_345,divide(X_345,zero))
| less_equal(divide(X_345,Z),divide(divide(X_345,zero),Z)) ),
inference(subst,[],[property_of_divide3:[bind(X,$fot(X_345)),bind(Y,$fot(divide(X_345,zero)))]]) ).
cnf(refute_0_23,plain,
( divide(X,divide(X,zero)) != zero
| less_equal(X,divide(X,zero)) ),
inference(subst,[],[quotient_less_equal2:[bind(Y,$fot(divide(X,zero)))]]) ).
cnf(refute_0_24,plain,
( ~ less_equal(divide(X_127,X_126),divide(X_127,zero))
| less_equal(divide(X_127,divide(X_127,zero)),X_126) ),
inference(subst,[],[property_of_divide1:[bind(X,$fot(X_127)),bind(Y,$fot(X_126)),bind(Z,$fot(divide(X_127,zero)))]]) ).
cnf(refute_0_25,plain,
less_equal(zero,X_110),
inference(subst,[],[zero_is_smallest:[bind(X,$fot(X_110))]]) ).
cnf(refute_0_26,plain,
( ~ less_equal(zero,X_110)
| less_equal(divide(X_111,X_110),divide(X_111,zero)) ),
inference(subst,[],[property_of_divide2:[bind(X,$fot(zero)),bind(Y,$fot(X_110)),bind(Z,$fot(X_111))]]) ).
cnf(refute_0_27,plain,
less_equal(divide(X_111,X_110),divide(X_111,zero)),
inference(resolve,[$cnf( less_equal(zero,X_110) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
less_equal(divide(X_127,X_126),divide(X_127,zero)),
inference(subst,[],[refute_0_27:[bind(X_110,$fot(X_126)),bind(X_111,$fot(X_127))]]) ).
cnf(refute_0_29,plain,
less_equal(divide(X_127,divide(X_127,zero)),X_126),
inference(resolve,[$cnf( less_equal(divide(X_127,X_126),divide(X_127,zero)) )],[refute_0_28,refute_0_24]) ).
cnf(refute_0_30,plain,
less_equal(divide(X_127,divide(X_127,zero)),zero),
inference(subst,[],[refute_0_29:[bind(X_126,$fot(zero))]]) ).
cnf(refute_0_31,plain,
( ~ less_equal(divide(X_127,divide(X_127,zero)),zero)
| zero = divide(X_127,divide(X_127,zero)) ),
inference(subst,[],[refute_0_20:[bind(X_318,$fot(divide(X_127,divide(X_127,zero))))]]) ).
cnf(refute_0_32,plain,
zero = divide(X_127,divide(X_127,zero)),
inference(resolve,[$cnf( less_equal(divide(X_127,divide(X_127,zero)),zero) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
zero = divide(X,divide(X,zero)),
inference(subst,[],[refute_0_32:[bind(X_127,$fot(X))]]) ).
cnf(refute_0_34,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_35,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_36,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
( zero != divide(X,divide(X,zero))
| divide(X,divide(X,zero)) = zero ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(X,divide(X,zero))))]]) ).
cnf(refute_0_38,plain,
divide(X,divide(X,zero)) = zero,
inference(resolve,[$cnf( $equal(zero,divide(X,divide(X,zero))) )],[refute_0_33,refute_0_37]) ).
cnf(refute_0_39,plain,
( divide(X,divide(X,zero)) != zero
| zero != zero
| divide(X,divide(X,zero)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X,divide(X,zero)),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_40,plain,
( zero != zero
| divide(X,divide(X,zero)) = zero ),
inference(resolve,[$cnf( $equal(divide(X,divide(X,zero)),zero) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( zero != zero
| less_equal(X,divide(X,zero)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(X,zero)),zero) )],[refute_0_40,refute_0_23]) ).
cnf(refute_0_42,plain,
less_equal(X,divide(X,zero)),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_7,refute_0_41]) ).
cnf(refute_0_43,plain,
less_equal(X_345,divide(X_345,zero)),
inference(subst,[],[refute_0_42:[bind(X,$fot(X_345))]]) ).
cnf(refute_0_44,plain,
less_equal(divide(X_345,Z),divide(divide(X_345,zero),Z)),
inference(resolve,[$cnf( less_equal(X_345,divide(X_345,zero)) )],[refute_0_43,refute_0_22]) ).
cnf(refute_0_45,plain,
less_equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero),divide(a,divide(identity,a)))),
inference(subst,[],[refute_0_44:[bind(Z,$fot(divide(a,divide(identity,a)))),bind(X_345,$fot(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero))))]]) ).
cnf(refute_0_46,plain,
( ~ less_equal(divide(X_1227,divide(divide(X_1227,X_1228),zero)),X_1228)
| divide(divide(X_1227,divide(divide(X_1227,X_1228),zero)),X_1228) = zero ),
inference(subst,[],[quotient_less_equal1:[bind(X,$fot(divide(X_1227,divide(divide(X_1227,X_1228),zero)))),bind(Y,$fot(X_1228))]]) ).
cnf(refute_0_47,plain,
( ~ less_equal(divide(X,Y),divide(divide(X,Y),zero))
| less_equal(divide(X,divide(divide(X,Y),zero)),Y) ),
inference(subst,[],[property_of_divide1:[bind(Z,$fot(divide(divide(X,Y),zero)))]]) ).
cnf(refute_0_48,plain,
less_equal(divide(X,Y),divide(divide(X,Y),zero)),
inference(subst,[],[refute_0_42:[bind(X,$fot(divide(X,Y)))]]) ).
cnf(refute_0_49,plain,
less_equal(divide(X,divide(divide(X,Y),zero)),Y),
inference(resolve,[$cnf( less_equal(divide(X,Y),divide(divide(X,Y),zero)) )],[refute_0_48,refute_0_47]) ).
cnf(refute_0_50,plain,
less_equal(divide(X_1227,divide(divide(X_1227,X_1228),zero)),X_1228),
inference(subst,[],[refute_0_49:[bind(X,$fot(X_1227)),bind(Y,$fot(X_1228))]]) ).
cnf(refute_0_51,plain,
divide(divide(X_1227,divide(divide(X_1227,X_1228),zero)),X_1228) = zero,
inference(resolve,[$cnf( less_equal(divide(X_1227,divide(divide(X_1227,X_1228),zero)),X_1228) )],[refute_0_50,refute_0_46]) ).
cnf(refute_0_52,plain,
divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero)),divide(a,divide(identity,a))) = zero,
inference(subst,[],[refute_0_51:[bind(X_1227,$fot(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)))),bind(X_1228,$fot(divide(a,divide(identity,a))))]]) ).
cnf(refute_0_53,plain,
( ~ less_equal(divide(divide(X_14,X_16),divide(X_15,X_16)),divide(divide(X_14,X_15),X_16))
| divide(divide(divide(X_14,X_16),divide(X_15,X_16)),divide(divide(X_14,X_15),X_16)) = zero ),
inference(subst,[],[quotient_less_equal1:[bind(X,$fot(divide(divide(X_14,X_16),divide(X_15,X_16)))),bind(Y,$fot(divide(divide(X_14,X_15),X_16)))]]) ).
cnf(refute_0_54,plain,
less_equal(divide(divide(X_14,X_16),divide(X_15,X_16)),divide(divide(X_14,X_15),X_16)),
inference(subst,[],[quotient_property:[bind(X,$fot(X_14)),bind(Y,$fot(X_15)),bind(Z,$fot(X_16))]]) ).
cnf(refute_0_55,plain,
divide(divide(divide(X_14,X_16),divide(X_15,X_16)),divide(divide(X_14,X_15),X_16)) = zero,
inference(resolve,[$cnf( less_equal(divide(divide(X_14,X_16),divide(X_15,X_16)),divide(divide(X_14,X_15),X_16)) )],[refute_0_54,refute_0_53]) ).
cnf(refute_0_56,plain,
divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero))) = zero,
inference(subst,[],[refute_0_55:[bind(X_14,$fot(identity)),bind(X_15,$fot(a)),bind(X_16,$fot(divide(divide(identity,divide(identity,divide(identity,a))),zero)))]]) ).
cnf(refute_0_57,plain,
( ~ less_equal(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero))
| divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)) = zero ),
inference(subst,[],[quotient_less_equal1:[bind(X,$fot(divide(identity,a))),bind(Y,$fot(divide(divide(identity,divide(identity,divide(identity,a))),zero)))]]) ).
cnf(refute_0_58,plain,
( ~ less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a)
| less_equal(divide(divide(identity,a),a),divide(divide(identity,divide(identity,divide(identity,a))),zero)) ),
inference(subst,[],[property_of_divide1:[bind(X,$fot(divide(identity,a))),bind(Y,$fot(divide(divide(identity,divide(identity,divide(identity,a))),zero))),bind(Z,$fot(a))]]) ).
cnf(refute_0_59,plain,
( divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a) != zero
| less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a) ),
inference(subst,[],[quotient_less_equal2:[bind(X,$fot(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)))),bind(Y,$fot(a))]]) ).
cnf(refute_0_60,plain,
( ~ less_equal(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),zero)
| zero = divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a) ),
inference(subst,[],[refute_0_20:[bind(X_318,$fot(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a)))]]) ).
cnf(refute_0_61,plain,
less_equal(divide(X_420,X_421),divide(divide(X_420,X_421),zero)),
inference(subst,[],[refute_0_42:[bind(X,$fot(divide(X_420,X_421)))]]) ).
cnf(refute_0_62,plain,
less_equal(divide(divide(X_14,X_16),divide(X_16,X_16)),divide(divide(X_14,X_16),X_16)),
inference(subst,[],[quotient_property:[bind(X,$fot(X_14)),bind(Y,$fot(X_16)),bind(Z,$fot(X_16))]]) ).
cnf(refute_0_63,plain,
divide(X_16,X_16) = zero,
inference(subst,[],[x_divide_x_is_zero:[bind(X,$fot(X_16))]]) ).
cnf(refute_0_64,plain,
( ~ less_equal(divide(divide(X_14,X_16),divide(X_16,X_16)),divide(divide(X_14,X_16),X_16))
| divide(X_16,X_16) != zero
| less_equal(divide(divide(X_14,X_16),zero),divide(divide(X_14,X_16),X_16)) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(X_14,X_16),divide(X_16,X_16)),divide(divide(X_14,X_16),X_16)) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_65,plain,
( ~ less_equal(divide(divide(X_14,X_16),divide(X_16,X_16)),divide(divide(X_14,X_16),X_16))
| less_equal(divide(divide(X_14,X_16),zero),divide(divide(X_14,X_16),X_16)) ),
inference(resolve,[$cnf( $equal(divide(X_16,X_16),zero) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
less_equal(divide(divide(X_14,X_16),zero),divide(divide(X_14,X_16),X_16)),
inference(resolve,[$cnf( less_equal(divide(divide(X_14,X_16),divide(X_16,X_16)),divide(divide(X_14,X_16),X_16)) )],[refute_0_62,refute_0_65]) ).
cnf(refute_0_67,plain,
( ~ less_equal(divide(divide(X_14,X_16),X_16),divide(divide(X_14,X_16),zero))
| ~ less_equal(divide(divide(X_14,X_16),zero),divide(divide(X_14,X_16),X_16))
| divide(divide(X_14,X_16),zero) = divide(divide(X_14,X_16),X_16) ),
inference(subst,[],[less_equal_and_equal:[bind(X,$fot(divide(divide(X_14,X_16),zero))),bind(Y,$fot(divide(divide(X_14,X_16),X_16)))]]) ).
cnf(refute_0_68,plain,
( ~ less_equal(divide(divide(X_14,X_16),X_16),divide(divide(X_14,X_16),zero))
| divide(divide(X_14,X_16),zero) = divide(divide(X_14,X_16),X_16) ),
inference(resolve,[$cnf( less_equal(divide(divide(X_14,X_16),zero),divide(divide(X_14,X_16),X_16)) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
less_equal(divide(divide(X_14,X_16),X_16),divide(divide(X_14,X_16),zero)),
inference(subst,[],[refute_0_27:[bind(X_110,$fot(X_16)),bind(X_111,$fot(divide(X_14,X_16)))]]) ).
cnf(refute_0_70,plain,
divide(divide(X_14,X_16),zero) = divide(divide(X_14,X_16),X_16),
inference(resolve,[$cnf( less_equal(divide(divide(X_14,X_16),X_16),divide(divide(X_14,X_16),zero)) )],[refute_0_69,refute_0_68]) ).
cnf(refute_0_71,plain,
divide(divide(X_420,X_421),zero) = divide(divide(X_420,X_421),X_421),
inference(subst,[],[refute_0_70:[bind(X_14,$fot(X_420)),bind(X_16,$fot(X_421))]]) ).
cnf(refute_0_72,plain,
( ~ less_equal(divide(X_420,X_421),divide(divide(X_420,X_421),zero))
| divide(divide(X_420,X_421),zero) != divide(divide(X_420,X_421),X_421)
| less_equal(divide(X_420,X_421),divide(divide(X_420,X_421),X_421)) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(X_420,X_421),divide(divide(X_420,X_421),zero)) ),[1],$fot(divide(divide(X_420,X_421),X_421))]]) ).
cnf(refute_0_73,plain,
( ~ less_equal(divide(X_420,X_421),divide(divide(X_420,X_421),zero))
| less_equal(divide(X_420,X_421),divide(divide(X_420,X_421),X_421)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_420,X_421),zero),divide(divide(X_420,X_421),X_421)) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
less_equal(divide(X_420,X_421),divide(divide(X_420,X_421),X_421)),
inference(resolve,[$cnf( less_equal(divide(X_420,X_421),divide(divide(X_420,X_421),zero)) )],[refute_0_61,refute_0_73]) ).
cnf(refute_0_75,plain,
less_equal(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a)),
inference(subst,[],[refute_0_74:[bind(X_420,$fot(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)))),bind(X_421,$fot(a))]]) ).
cnf(refute_0_76,plain,
less_equal(divide(divide(X_14,zero),divide(a,zero)),divide(divide(X_14,a),zero)),
inference(subst,[],[quotient_property:[bind(X,$fot(X_14)),bind(Y,$fot(a)),bind(Z,$fot(zero))]]) ).
cnf(refute_0_77,plain,
( ~ less_equal(divide(divide(X_14,zero),divide(a,zero)),divide(divide(X_14,a),zero))
| divide(a,zero) != a
| less_equal(divide(divide(X_14,zero),a),divide(divide(X_14,a),zero)) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(X_14,zero),divide(a,zero)),divide(divide(X_14,a),zero)) ),[0,1],$fot(a)]]) ).
cnf(refute_0_78,plain,
( ~ less_equal(divide(divide(X_14,zero),divide(a,zero)),divide(divide(X_14,a),zero))
| less_equal(divide(divide(X_14,zero),a),divide(divide(X_14,a),zero)) ),
inference(resolve,[$cnf( $equal(divide(a,zero),a) )],[x_divide_zero_is_x,refute_0_77]) ).
cnf(refute_0_79,plain,
less_equal(divide(divide(X_14,zero),a),divide(divide(X_14,a),zero)),
inference(resolve,[$cnf( less_equal(divide(divide(X_14,zero),divide(a,zero)),divide(divide(X_14,a),zero)) )],[refute_0_76,refute_0_78]) ).
cnf(refute_0_80,plain,
( ~ less_equal(divide(divide(X_14,a),zero),divide(divide(X_14,zero),a))
| ~ less_equal(divide(divide(X_14,zero),a),divide(divide(X_14,a),zero))
| divide(divide(X_14,zero),a) = divide(divide(X_14,a),zero) ),
inference(subst,[],[less_equal_and_equal:[bind(X,$fot(divide(divide(X_14,zero),a))),bind(Y,$fot(divide(divide(X_14,a),zero)))]]) ).
cnf(refute_0_81,plain,
( ~ less_equal(divide(divide(X_14,a),zero),divide(divide(X_14,zero),a))
| divide(divide(X_14,zero),a) = divide(divide(X_14,a),zero) ),
inference(resolve,[$cnf( less_equal(divide(divide(X_14,zero),a),divide(divide(X_14,a),zero)) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
less_equal(divide(divide(X_14,X_16),divide(zero,X_16)),divide(divide(X_14,zero),X_16)),
inference(subst,[],[quotient_property:[bind(X,$fot(X_14)),bind(Y,$fot(zero)),bind(Z,$fot(X_16))]]) ).
cnf(refute_0_83,plain,
divide(zero,X_16) = zero,
inference(subst,[],[zero_divide_anything_is_zero:[bind(X,$fot(X_16))]]) ).
cnf(refute_0_84,plain,
( ~ less_equal(divide(divide(X_14,X_16),divide(zero,X_16)),divide(divide(X_14,zero),X_16))
| divide(zero,X_16) != zero
| less_equal(divide(divide(X_14,X_16),zero),divide(divide(X_14,zero),X_16)) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(X_14,X_16),divide(zero,X_16)),divide(divide(X_14,zero),X_16)) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_85,plain,
( ~ less_equal(divide(divide(X_14,X_16),divide(zero,X_16)),divide(divide(X_14,zero),X_16))
| less_equal(divide(divide(X_14,X_16),zero),divide(divide(X_14,zero),X_16)) ),
inference(resolve,[$cnf( $equal(divide(zero,X_16),zero) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
less_equal(divide(divide(X_14,X_16),zero),divide(divide(X_14,zero),X_16)),
inference(resolve,[$cnf( less_equal(divide(divide(X_14,X_16),divide(zero,X_16)),divide(divide(X_14,zero),X_16)) )],[refute_0_82,refute_0_85]) ).
cnf(refute_0_87,plain,
less_equal(divide(divide(X_14,a),zero),divide(divide(X_14,zero),a)),
inference(subst,[],[refute_0_86:[bind(X_16,$fot(a))]]) ).
cnf(refute_0_88,plain,
divide(divide(X_14,zero),a) = divide(divide(X_14,a),zero),
inference(resolve,[$cnf( less_equal(divide(divide(X_14,a),zero),divide(divide(X_14,zero),a)) )],[refute_0_87,refute_0_81]) ).
cnf(refute_0_89,plain,
divide(divide(X_14,a),zero) = divide(divide(X_14,a),a),
inference(subst,[],[refute_0_70:[bind(X_16,$fot(a))]]) ).
cnf(refute_0_90,plain,
( divide(divide(X_14,a),zero) != divide(divide(X_14,a),a)
| divide(divide(X_14,zero),a) != divide(divide(X_14,a),zero)
| divide(divide(X_14,zero),a) = divide(divide(X_14,a),a) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_14,zero),a),divide(divide(X_14,a),zero)) ),[1],$fot(divide(divide(X_14,a),a))]]) ).
cnf(refute_0_91,plain,
( divide(divide(X_14,zero),a) != divide(divide(X_14,a),zero)
| divide(divide(X_14,zero),a) = divide(divide(X_14,a),a) ),
inference(resolve,[$cnf( $equal(divide(divide(X_14,a),zero),divide(divide(X_14,a),a)) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
divide(divide(X_14,zero),a) = divide(divide(X_14,a),a),
inference(resolve,[$cnf( $equal(divide(divide(X_14,zero),a),divide(divide(X_14,a),zero)) )],[refute_0_88,refute_0_91]) ).
cnf(refute_0_93,plain,
divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero),a) = divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a),
inference(subst,[],[refute_0_92:[bind(X_14,$fot(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero))))]]) ).
cnf(refute_0_94,plain,
( ~ less_equal(divide(X_165,X_164),divide(X_165,divide(X_164,X_163)))
| divide(divide(X_165,X_164),divide(X_165,divide(X_164,X_163))) = zero ),
inference(subst,[],[quotient_less_equal1:[bind(X,$fot(divide(X_165,X_164))),bind(Y,$fot(divide(X_165,divide(X_164,X_163))))]]) ).
cnf(refute_0_95,plain,
less_equal(divide(X_110,Y),X_110),
inference(subst,[],[quotient_smaller_than_numerator:[bind(X,$fot(X_110))]]) ).
cnf(refute_0_96,plain,
( ~ less_equal(divide(X_110,Y),X_110)
| less_equal(divide(X_111,X_110),divide(X_111,divide(X_110,Y))) ),
inference(subst,[],[property_of_divide2:[bind(X,$fot(divide(X_110,Y))),bind(Y,$fot(X_110)),bind(Z,$fot(X_111))]]) ).
cnf(refute_0_97,plain,
less_equal(divide(X_111,X_110),divide(X_111,divide(X_110,Y))),
inference(resolve,[$cnf( less_equal(divide(X_110,Y),X_110) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
less_equal(divide(X_165,X_164),divide(X_165,divide(X_164,X_163))),
inference(subst,[],[refute_0_97:[bind(Y,$fot(X_163)),bind(X_110,$fot(X_164)),bind(X_111,$fot(X_165))]]) ).
cnf(refute_0_99,plain,
divide(divide(X_165,X_164),divide(X_165,divide(X_164,X_163))) = zero,
inference(resolve,[$cnf( less_equal(divide(X_165,X_164),divide(X_165,divide(X_164,X_163))) )],[refute_0_98,refute_0_94]) ).
cnf(refute_0_100,plain,
divide(divide(X_470,divide(X_14,zero)),divide(X_470,divide(divide(X_14,zero),a))) = zero,
inference(subst,[],[refute_0_99:[bind(X_163,$fot(a)),bind(X_164,$fot(divide(X_14,zero))),bind(X_165,$fot(X_470))]]) ).
cnf(refute_0_101,plain,
( divide(divide(X_14,zero),a) != divide(divide(X_14,a),a)
| divide(divide(X_470,divide(X_14,zero)),divide(X_470,divide(divide(X_14,zero),a))) != zero
| divide(divide(X_470,divide(X_14,zero)),divide(X_470,divide(divide(X_14,a),a))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_470,divide(X_14,zero)),divide(X_470,divide(divide(X_14,zero),a))),zero) ),[0,1,1],$fot(divide(divide(X_14,a),a))]]) ).
cnf(refute_0_102,plain,
( divide(divide(X_470,divide(X_14,zero)),divide(X_470,divide(divide(X_14,zero),a))) != zero
| divide(divide(X_470,divide(X_14,zero)),divide(X_470,divide(divide(X_14,a),a))) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(X_14,zero),a),divide(divide(X_14,a),a)) )],[refute_0_92,refute_0_101]) ).
cnf(refute_0_103,plain,
divide(divide(X_470,divide(X_14,zero)),divide(X_470,divide(divide(X_14,a),a))) = zero,
inference(resolve,[$cnf( $equal(divide(divide(X_470,divide(X_14,zero)),divide(X_470,divide(divide(X_14,zero),a))),zero) )],[refute_0_100,refute_0_102]) ).
cnf(refute_0_104,plain,
divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a))) = zero,
inference(subst,[],[refute_0_103:[bind(X_14,$fot(divide(identity,divide(identity,divide(identity,a))))),bind(X_470,$fot(divide(identity,a)))]]) ).
cnf(refute_0_105,plain,
( ~ less_equal(divide(X_81,divide(X_81,X_82)),X_82)
| divide(divide(X_81,divide(X_81,X_82)),X_82) = zero ),
inference(subst,[],[quotient_less_equal1:[bind(X,$fot(divide(X_81,divide(X_81,X_82)))),bind(Y,$fot(X_82))]]) ).
cnf(refute_0_106,plain,
less_equal(divide(X_81,divide(X_81,X_82)),X_82),
inference(subst,[],[refute_0_11:[bind(X_69,$fot(X_81)),bind(X_70,$fot(X_82))]]) ).
cnf(refute_0_107,plain,
divide(divide(X_81,divide(X_81,X_82)),X_82) = zero,
inference(resolve,[$cnf( less_equal(divide(X_81,divide(X_81,X_82)),X_82) )],[refute_0_106,refute_0_105]) ).
cnf(refute_0_108,plain,
divide(divide(divide(X_328,divide(X_328,X_329)),divide(divide(X_328,divide(X_328,X_329)),divide(X_329,divide(X_328,X_329)))),divide(X_329,divide(X_328,X_329))) = zero,
inference(subst,[],[refute_0_107:[bind(X_81,$fot(divide(X_328,divide(X_328,X_329)))),bind(X_82,$fot(divide(X_329,divide(X_328,X_329))))]]) ).
cnf(refute_0_109,plain,
less_equal(divide(divide(X_14,divide(X_14,X_15)),divide(X_15,divide(X_14,X_15))),divide(divide(X_14,X_15),divide(X_14,X_15))),
inference(subst,[],[quotient_property:[bind(X,$fot(X_14)),bind(Y,$fot(X_15)),bind(Z,$fot(divide(X_14,X_15)))]]) ).
cnf(refute_0_110,plain,
divide(divide(X_14,X_15),divide(X_14,X_15)) = zero,
inference(subst,[],[x_divide_x_is_zero:[bind(X,$fot(divide(X_14,X_15)))]]) ).
cnf(refute_0_111,plain,
( ~ less_equal(divide(divide(X_14,divide(X_14,X_15)),divide(X_15,divide(X_14,X_15))),divide(divide(X_14,X_15),divide(X_14,X_15)))
| divide(divide(X_14,X_15),divide(X_14,X_15)) != zero
| less_equal(divide(divide(X_14,divide(X_14,X_15)),divide(X_15,divide(X_14,X_15))),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(X_14,divide(X_14,X_15)),divide(X_15,divide(X_14,X_15))),divide(divide(X_14,X_15),divide(X_14,X_15))) ),[1],$fot(zero)]]) ).
cnf(refute_0_112,plain,
( ~ less_equal(divide(divide(X_14,divide(X_14,X_15)),divide(X_15,divide(X_14,X_15))),divide(divide(X_14,X_15),divide(X_14,X_15)))
| less_equal(divide(divide(X_14,divide(X_14,X_15)),divide(X_15,divide(X_14,X_15))),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(X_14,X_15),divide(X_14,X_15)),zero) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
less_equal(divide(divide(X_14,divide(X_14,X_15)),divide(X_15,divide(X_14,X_15))),zero),
inference(resolve,[$cnf( less_equal(divide(divide(X_14,divide(X_14,X_15)),divide(X_15,divide(X_14,X_15))),divide(divide(X_14,X_15),divide(X_14,X_15))) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
( ~ less_equal(divide(divide(X_14,divide(X_14,X_15)),divide(X_15,divide(X_14,X_15))),zero)
| ~ less_equal(zero,divide(divide(X_14,divide(X_14,X_15)),divide(X_15,divide(X_14,X_15))))
| divide(divide(X_14,divide(X_14,X_15)),divide(X_15,divide(X_14,X_15))) = zero ),
inference(subst,[],[less_equal_and_equal:[bind(X,$fot(divide(divide(X_14,divide(X_14,X_15)),divide(X_15,divide(X_14,X_15))))),bind(Y,$fot(zero))]]) ).
cnf(refute_0_115,plain,
( ~ less_equal(zero,divide(divide(X_14,divide(X_14,X_15)),divide(X_15,divide(X_14,X_15))))
| divide(divide(X_14,divide(X_14,X_15)),divide(X_15,divide(X_14,X_15))) = zero ),
inference(resolve,[$cnf( less_equal(divide(divide(X_14,divide(X_14,X_15)),divide(X_15,divide(X_14,X_15))),zero) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
less_equal(zero,divide(divide(X_14,divide(X_14,X_15)),divide(X_15,divide(X_14,X_15)))),
inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(divide(X_14,divide(X_14,X_15)),divide(X_15,divide(X_14,X_15)))))]]) ).
cnf(refute_0_117,plain,
divide(divide(X_14,divide(X_14,X_15)),divide(X_15,divide(X_14,X_15))) = zero,
inference(resolve,[$cnf( less_equal(zero,divide(divide(X_14,divide(X_14,X_15)),divide(X_15,divide(X_14,X_15)))) )],[refute_0_116,refute_0_115]) ).
cnf(refute_0_118,plain,
divide(divide(X_328,divide(X_328,X_329)),divide(X_329,divide(X_328,X_329))) = zero,
inference(subst,[],[refute_0_117:[bind(X_14,$fot(X_328)),bind(X_15,$fot(X_329))]]) ).
cnf(refute_0_119,plain,
( divide(divide(X_328,divide(X_328,X_329)),divide(X_329,divide(X_328,X_329))) != zero
| divide(divide(divide(X_328,divide(X_328,X_329)),divide(divide(X_328,divide(X_328,X_329)),divide(X_329,divide(X_328,X_329)))),divide(X_329,divide(X_328,X_329))) != zero
| divide(divide(divide(X_328,divide(X_328,X_329)),zero),divide(X_329,divide(X_328,X_329))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_328,divide(X_328,X_329)),divide(divide(X_328,divide(X_328,X_329)),divide(X_329,divide(X_328,X_329)))),divide(X_329,divide(X_328,X_329))),zero) ),[0,0,1],$fot(zero)]]) ).
cnf(refute_0_120,plain,
( divide(divide(divide(X_328,divide(X_328,X_329)),divide(divide(X_328,divide(X_328,X_329)),divide(X_329,divide(X_328,X_329)))),divide(X_329,divide(X_328,X_329))) != zero
| divide(divide(divide(X_328,divide(X_328,X_329)),zero),divide(X_329,divide(X_328,X_329))) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(X_328,divide(X_328,X_329)),divide(X_329,divide(X_328,X_329))),zero) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
divide(divide(divide(X_328,divide(X_328,X_329)),zero),divide(X_329,divide(X_328,X_329))) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(X_328,divide(X_328,X_329)),divide(divide(X_328,divide(X_328,X_329)),divide(X_329,divide(X_328,X_329)))),divide(X_329,divide(X_328,X_329))),zero) )],[refute_0_108,refute_0_120]) ).
cnf(refute_0_122,plain,
divide(divide(divide(divide(identity,a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) = zero,
inference(subst,[],[refute_0_121:[bind(X_328,$fot(divide(identity,a))),bind(X_329,$fot(divide(divide(identity,divide(identity,divide(identity,a))),a)))]]) ).
cnf(refute_0_123,plain,
( ~ less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero)
| zero = divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)) ),
inference(subst,[],[refute_0_20:[bind(X_318,$fot(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))))]]) ).
cnf(refute_0_124,plain,
( divide(X,divide(divide(X,zero),zero)) != zero
| less_equal(X,divide(divide(X,zero),zero)) ),
inference(subst,[],[quotient_less_equal2:[bind(Y,$fot(divide(divide(X,zero),zero)))]]) ).
cnf(refute_0_125,plain,
( ~ less_equal(divide(X_389,divide(divide(X_389,zero),zero)),zero)
| zero = divide(X_389,divide(divide(X_389,zero),zero)) ),
inference(subst,[],[refute_0_20:[bind(X_318,$fot(divide(X_389,divide(divide(X_389,zero),zero))))]]) ).
cnf(refute_0_126,plain,
less_equal(divide(X_366,divide(divide(X_366,zero),zero)),divide(divide(X_366,divide(divide(X_366,zero),zero)),zero)),
inference(subst,[],[refute_0_42:[bind(X,$fot(divide(X_366,divide(divide(X_366,zero),zero))))]]) ).
cnf(refute_0_127,plain,
( ~ less_equal(divide(divide(X_365,divide(divide(X_365,zero),zero)),zero),zero)
| zero = divide(divide(X_365,divide(divide(X_365,zero),zero)),zero) ),
inference(subst,[],[refute_0_20:[bind(X_318,$fot(divide(divide(X_365,divide(divide(X_365,zero),zero)),zero)))]]) ).
cnf(refute_0_128,plain,
less_equal(divide(divide(X_14,divide(divide(X_14,zero),zero)),zero),divide(divide(X_14,zero),divide(divide(X_14,zero),zero))),
inference(subst,[],[refute_0_86:[bind(X_16,$fot(divide(divide(X_14,zero),zero)))]]) ).
cnf(refute_0_129,plain,
zero = divide(divide(X_14,zero),divide(divide(X_14,zero),zero)),
inference(subst,[],[refute_0_32:[bind(X_127,$fot(divide(X_14,zero)))]]) ).
cnf(refute_0_130,plain,
( zero != divide(divide(X_14,zero),divide(divide(X_14,zero),zero))
| divide(divide(X_14,zero),divide(divide(X_14,zero),zero)) = zero ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(X_14,zero),divide(divide(X_14,zero),zero))))]]) ).
cnf(refute_0_131,plain,
divide(divide(X_14,zero),divide(divide(X_14,zero),zero)) = zero,
inference(resolve,[$cnf( $equal(zero,divide(divide(X_14,zero),divide(divide(X_14,zero),zero))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
( ~ less_equal(divide(divide(X_14,divide(divide(X_14,zero),zero)),zero),divide(divide(X_14,zero),divide(divide(X_14,zero),zero)))
| divide(divide(X_14,zero),divide(divide(X_14,zero),zero)) != zero
| less_equal(divide(divide(X_14,divide(divide(X_14,zero),zero)),zero),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(X_14,divide(divide(X_14,zero),zero)),zero),divide(divide(X_14,zero),divide(divide(X_14,zero),zero))) ),[1],$fot(zero)]]) ).
cnf(refute_0_133,plain,
( ~ less_equal(divide(divide(X_14,divide(divide(X_14,zero),zero)),zero),divide(divide(X_14,zero),divide(divide(X_14,zero),zero)))
| less_equal(divide(divide(X_14,divide(divide(X_14,zero),zero)),zero),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(X_14,zero),divide(divide(X_14,zero),zero)),zero) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
less_equal(divide(divide(X_14,divide(divide(X_14,zero),zero)),zero),zero),
inference(resolve,[$cnf( less_equal(divide(divide(X_14,divide(divide(X_14,zero),zero)),zero),divide(divide(X_14,zero),divide(divide(X_14,zero),zero))) )],[refute_0_128,refute_0_133]) ).
cnf(refute_0_135,plain,
less_equal(divide(divide(X_365,divide(divide(X_365,zero),zero)),zero),zero),
inference(subst,[],[refute_0_134:[bind(X_14,$fot(X_365))]]) ).
cnf(refute_0_136,plain,
zero = divide(divide(X_365,divide(divide(X_365,zero),zero)),zero),
inference(resolve,[$cnf( less_equal(divide(divide(X_365,divide(divide(X_365,zero),zero)),zero),zero) )],[refute_0_135,refute_0_127]) ).
cnf(refute_0_137,plain,
zero = divide(divide(X_366,divide(divide(X_366,zero),zero)),zero),
inference(subst,[],[refute_0_136:[bind(X_365,$fot(X_366))]]) ).
cnf(refute_0_138,plain,
( zero != divide(divide(X_366,divide(divide(X_366,zero),zero)),zero)
| divide(divide(X_366,divide(divide(X_366,zero),zero)),zero) = zero ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(X_366,divide(divide(X_366,zero),zero)),zero)))]]) ).
cnf(refute_0_139,plain,
divide(divide(X_366,divide(divide(X_366,zero),zero)),zero) = zero,
inference(resolve,[$cnf( $equal(zero,divide(divide(X_366,divide(divide(X_366,zero),zero)),zero)) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
( ~ less_equal(divide(X_366,divide(divide(X_366,zero),zero)),divide(divide(X_366,divide(divide(X_366,zero),zero)),zero))
| divide(divide(X_366,divide(divide(X_366,zero),zero)),zero) != zero
| less_equal(divide(X_366,divide(divide(X_366,zero),zero)),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(X_366,divide(divide(X_366,zero),zero)),divide(divide(X_366,divide(divide(X_366,zero),zero)),zero)) ),[1],$fot(zero)]]) ).
cnf(refute_0_141,plain,
( ~ less_equal(divide(X_366,divide(divide(X_366,zero),zero)),divide(divide(X_366,divide(divide(X_366,zero),zero)),zero))
| less_equal(divide(X_366,divide(divide(X_366,zero),zero)),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(X_366,divide(divide(X_366,zero),zero)),zero),zero) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
less_equal(divide(X_366,divide(divide(X_366,zero),zero)),zero),
inference(resolve,[$cnf( less_equal(divide(X_366,divide(divide(X_366,zero),zero)),divide(divide(X_366,divide(divide(X_366,zero),zero)),zero)) )],[refute_0_126,refute_0_141]) ).
cnf(refute_0_143,plain,
less_equal(divide(X_389,divide(divide(X_389,zero),zero)),zero),
inference(subst,[],[refute_0_142:[bind(X_366,$fot(X_389))]]) ).
cnf(refute_0_144,plain,
zero = divide(X_389,divide(divide(X_389,zero),zero)),
inference(resolve,[$cnf( less_equal(divide(X_389,divide(divide(X_389,zero),zero)),zero) )],[refute_0_143,refute_0_125]) ).
cnf(refute_0_145,plain,
zero = divide(X,divide(divide(X,zero),zero)),
inference(subst,[],[refute_0_144:[bind(X_389,$fot(X))]]) ).
cnf(refute_0_146,plain,
( zero != divide(X,divide(divide(X,zero),zero))
| divide(X,divide(divide(X,zero),zero)) = zero ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(X,divide(divide(X,zero),zero))))]]) ).
cnf(refute_0_147,plain,
divide(X,divide(divide(X,zero),zero)) = zero,
inference(resolve,[$cnf( $equal(zero,divide(X,divide(divide(X,zero),zero))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
( divide(X,divide(divide(X,zero),zero)) != zero
| zero != zero
| divide(X,divide(divide(X,zero),zero)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X,divide(divide(X,zero),zero)),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_149,plain,
( zero != zero
| divide(X,divide(divide(X,zero),zero)) = zero ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(X,zero),zero)),zero) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
( zero != zero
| less_equal(X,divide(divide(X,zero),zero)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(X,zero),zero)),zero) )],[refute_0_149,refute_0_124]) ).
cnf(refute_0_151,plain,
less_equal(X,divide(divide(X,zero),zero)),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_7,refute_0_150]) ).
cnf(refute_0_152,plain,
less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero),zero)),
inference(subst,[],[refute_0_151:[bind(X,$fot(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))))]]) ).
cnf(refute_0_153,plain,
divide(divide(divide(divide(identity,a),a),divide(X_15,a)),divide(divide(divide(identity,a),X_15),a)) = zero,
inference(subst,[],[refute_0_55:[bind(X_14,$fot(divide(identity,a))),bind(X_16,$fot(a))]]) ).
cnf(refute_0_154,plain,
divide(divide(identity,zero),a) = divide(divide(identity,a),a),
inference(subst,[],[refute_0_92:[bind(X_14,$fot(identity))]]) ).
cnf(refute_0_155,plain,
less_equal(X_317,identity),
inference(subst,[],[identity_is_largest:[bind(X,$fot(X_317))]]) ).
cnf(refute_0_156,plain,
( ~ less_equal(X_317,identity)
| ~ less_equal(identity,X_317)
| X_317 = identity ),
inference(subst,[],[less_equal_and_equal:[bind(X,$fot(X_317)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_157,plain,
( ~ less_equal(identity,X_317)
| X_317 = identity ),
inference(resolve,[$cnf( less_equal(X_317,identity) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
( ~ less_equal(identity,divide(identity,zero))
| divide(identity,zero) = identity ),
inference(subst,[],[refute_0_157:[bind(X_317,$fot(divide(identity,zero)))]]) ).
cnf(refute_0_159,plain,
( divide(X,divide(identity,zero)) != zero
| less_equal(X,divide(identity,zero)) ),
inference(subst,[],[quotient_less_equal2:[bind(Y,$fot(divide(identity,zero)))]]) ).
cnf(refute_0_160,plain,
( ~ less_equal(divide(X_268,X_269),divide(identity,X_269))
| less_equal(divide(X_268,divide(identity,X_269)),X_269) ),
inference(subst,[],[property_of_divide1:[bind(X,$fot(X_268)),bind(Y,$fot(X_269)),bind(Z,$fot(divide(identity,X_269)))]]) ).
cnf(refute_0_161,plain,
less_equal(X_265,identity),
inference(subst,[],[identity_is_largest:[bind(X,$fot(X_265))]]) ).
cnf(refute_0_162,plain,
( ~ less_equal(X_265,identity)
| less_equal(divide(X_265,X_267),divide(identity,X_267)) ),
inference(subst,[],[property_of_divide3:[bind(X,$fot(X_265)),bind(Y,$fot(identity)),bind(Z,$fot(X_267))]]) ).
cnf(refute_0_163,plain,
less_equal(divide(X_265,X_267),divide(identity,X_267)),
inference(resolve,[$cnf( less_equal(X_265,identity) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
less_equal(divide(X_268,X_269),divide(identity,X_269)),
inference(subst,[],[refute_0_163:[bind(X_265,$fot(X_268)),bind(X_267,$fot(X_269))]]) ).
cnf(refute_0_165,plain,
less_equal(divide(X_268,divide(identity,X_269)),X_269),
inference(resolve,[$cnf( less_equal(divide(X_268,X_269),divide(identity,X_269)) )],[refute_0_164,refute_0_160]) ).
cnf(refute_0_166,plain,
less_equal(divide(X_268,divide(identity,zero)),zero),
inference(subst,[],[refute_0_165:[bind(X_269,$fot(zero))]]) ).
cnf(refute_0_167,plain,
( ~ less_equal(divide(X_268,divide(identity,zero)),zero)
| zero = divide(X_268,divide(identity,zero)) ),
inference(subst,[],[refute_0_20:[bind(X_318,$fot(divide(X_268,divide(identity,zero))))]]) ).
cnf(refute_0_168,plain,
zero = divide(X_268,divide(identity,zero)),
inference(resolve,[$cnf( less_equal(divide(X_268,divide(identity,zero)),zero) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
zero = divide(X,divide(identity,zero)),
inference(subst,[],[refute_0_168:[bind(X_268,$fot(X))]]) ).
cnf(refute_0_170,plain,
( zero != divide(X,divide(identity,zero))
| divide(X,divide(identity,zero)) = zero ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(X,divide(identity,zero))))]]) ).
cnf(refute_0_171,plain,
divide(X,divide(identity,zero)) = zero,
inference(resolve,[$cnf( $equal(zero,divide(X,divide(identity,zero))) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
( divide(X,divide(identity,zero)) != zero
| zero != zero
| divide(X,divide(identity,zero)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X,divide(identity,zero)),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_173,plain,
( zero != zero
| divide(X,divide(identity,zero)) = zero ),
inference(resolve,[$cnf( $equal(divide(X,divide(identity,zero)),zero) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
( zero != zero
| less_equal(X,divide(identity,zero)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(identity,zero)),zero) )],[refute_0_173,refute_0_159]) ).
cnf(refute_0_175,plain,
less_equal(X,divide(identity,zero)),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_7,refute_0_174]) ).
cnf(refute_0_176,plain,
less_equal(identity,divide(identity,zero)),
inference(subst,[],[refute_0_175:[bind(X,$fot(identity))]]) ).
cnf(refute_0_177,plain,
divide(identity,zero) = identity,
inference(resolve,[$cnf( less_equal(identity,divide(identity,zero)) )],[refute_0_176,refute_0_158]) ).
cnf(refute_0_178,plain,
( divide(divide(identity,zero),a) != divide(divide(identity,a),a)
| divide(identity,zero) != identity
| divide(identity,a) = divide(divide(identity,a),a) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,zero),a),divide(divide(identity,a),a)) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_179,plain,
( divide(divide(identity,zero),a) != divide(divide(identity,a),a)
| divide(identity,a) = divide(divide(identity,a),a) ),
inference(resolve,[$cnf( $equal(divide(identity,zero),identity) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
divide(identity,a) = divide(divide(identity,a),a),
inference(resolve,[$cnf( $equal(divide(divide(identity,zero),a),divide(divide(identity,a),a)) )],[refute_0_154,refute_0_179]) ).
cnf(refute_0_181,plain,
( divide(identity,a) != divide(divide(identity,a),a)
| divide(divide(identity,a),a) = divide(identity,a) ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(divide(identity,a))),bind(Y0,$fot(divide(divide(identity,a),a)))]]) ).
cnf(refute_0_182,plain,
divide(divide(identity,a),a) = divide(identity,a),
inference(resolve,[$cnf( $equal(divide(identity,a),divide(divide(identity,a),a)) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
( divide(divide(divide(divide(identity,a),a),divide(X_15,a)),divide(divide(divide(identity,a),X_15),a)) != zero
| divide(divide(identity,a),a) != divide(identity,a)
| divide(divide(divide(identity,a),divide(X_15,a)),divide(divide(divide(identity,a),X_15),a)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(identity,a),a),divide(X_15,a)),divide(divide(divide(identity,a),X_15),a)),zero) ),[0,0,0],$fot(divide(identity,a))]]) ).
cnf(refute_0_184,plain,
( divide(divide(divide(divide(identity,a),a),divide(X_15,a)),divide(divide(divide(identity,a),X_15),a)) != zero
| divide(divide(divide(identity,a),divide(X_15,a)),divide(divide(divide(identity,a),X_15),a)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(identity,a),a),divide(identity,a)) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
divide(divide(divide(identity,a),divide(X_15,a)),divide(divide(divide(identity,a),X_15),a)) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(identity,a),a),divide(X_15,a)),divide(divide(divide(identity,a),X_15),a)),zero) )],[refute_0_153,refute_0_184]) ).
cnf(refute_0_186,plain,
divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(divide(divide(identity,a),divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a)))),a)) = zero,
inference(subst,[],[refute_0_185:[bind(X_15,$fot(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a)))))]]) ).
cnf(refute_0_187,plain,
( ~ less_equal(divide(X_612,a),divide(X_612,divide(divide(X_613,zero),divide(divide(X_613,a),a))))
| divide(divide(X_612,a),divide(X_612,divide(divide(X_613,zero),divide(divide(X_613,a),a)))) = zero ),
inference(subst,[],[quotient_less_equal1:[bind(X,$fot(divide(X_612,a))),bind(Y,$fot(divide(X_612,divide(divide(X_613,zero),divide(divide(X_613,a),a)))))]]) ).
cnf(refute_0_188,plain,
( ~ less_equal(divide(divide(X_14,zero),a),divide(divide(X_14,a),zero))
| less_equal(divide(divide(X_14,zero),divide(divide(X_14,a),zero)),a) ),
inference(subst,[],[property_of_divide1:[bind(X,$fot(divide(X_14,zero))),bind(Y,$fot(a)),bind(Z,$fot(divide(divide(X_14,a),zero)))]]) ).
cnf(refute_0_189,plain,
less_equal(divide(divide(X_14,zero),divide(divide(X_14,a),zero)),a),
inference(resolve,[$cnf( less_equal(divide(divide(X_14,zero),a),divide(divide(X_14,a),zero)) )],[refute_0_79,refute_0_188]) ).
cnf(refute_0_190,plain,
( ~ less_equal(divide(divide(X_14,zero),divide(divide(X_14,a),zero)),a)
| less_equal(divide(X_111,a),divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),zero)))) ),
inference(subst,[],[property_of_divide2:[bind(X,$fot(divide(divide(X_14,zero),divide(divide(X_14,a),zero)))),bind(Y,$fot(a)),bind(Z,$fot(X_111))]]) ).
cnf(refute_0_191,plain,
less_equal(divide(X_111,a),divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),zero)))),
inference(resolve,[$cnf( less_equal(divide(divide(X_14,zero),divide(divide(X_14,a),zero)),a) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
divide(divide(X_14,zero),divide(divide(X_14,a),zero)) = divide(divide(X_14,zero),divide(divide(X_14,a),zero)),
introduced(tautology,[refl,[$fot(divide(divide(X_14,zero),divide(divide(X_14,a),zero)))]]) ).
cnf(refute_0_193,plain,
( divide(divide(X_14,a),zero) != divide(divide(X_14,a),a)
| divide(divide(X_14,zero),divide(divide(X_14,a),zero)) != divide(divide(X_14,zero),divide(divide(X_14,a),zero))
| divide(divide(X_14,zero),divide(divide(X_14,a),zero)) = divide(divide(X_14,zero),divide(divide(X_14,a),a)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_14,zero),divide(divide(X_14,a),zero)),divide(divide(X_14,zero),divide(divide(X_14,a),zero))) ),[1,1],$fot(divide(divide(X_14,a),a))]]) ).
cnf(refute_0_194,plain,
( divide(divide(X_14,a),zero) != divide(divide(X_14,a),a)
| divide(divide(X_14,zero),divide(divide(X_14,a),zero)) = divide(divide(X_14,zero),divide(divide(X_14,a),a)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_14,zero),divide(divide(X_14,a),zero)),divide(divide(X_14,zero),divide(divide(X_14,a),zero))) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
divide(divide(X_14,zero),divide(divide(X_14,a),zero)) = divide(divide(X_14,zero),divide(divide(X_14,a),a)),
inference(resolve,[$cnf( $equal(divide(divide(X_14,a),zero),divide(divide(X_14,a),a)) )],[refute_0_89,refute_0_194]) ).
cnf(refute_0_196,plain,
divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),zero))) = divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),zero))),
introduced(tautology,[refl,[$fot(divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),zero))))]]) ).
cnf(refute_0_197,plain,
( divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),zero))) != divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),zero)))
| divide(divide(X_14,zero),divide(divide(X_14,a),zero)) != divide(divide(X_14,zero),divide(divide(X_14,a),a))
| divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),zero))) = divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),a))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),zero))),divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),zero)))) ),[1,1],$fot(divide(divide(X_14,zero),divide(divide(X_14,a),a)))]]) ).
cnf(refute_0_198,plain,
( divide(divide(X_14,zero),divide(divide(X_14,a),zero)) != divide(divide(X_14,zero),divide(divide(X_14,a),a))
| divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),zero))) = divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),a))) ),
inference(resolve,[$cnf( $equal(divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),zero))),divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),zero)))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),zero))) = divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),a))),
inference(resolve,[$cnf( $equal(divide(divide(X_14,zero),divide(divide(X_14,a),zero)),divide(divide(X_14,zero),divide(divide(X_14,a),a))) )],[refute_0_195,refute_0_198]) ).
cnf(refute_0_200,plain,
( ~ less_equal(divide(X_111,a),divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),zero))))
| divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),zero))) != divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),a)))
| less_equal(divide(X_111,a),divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),a)))) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(X_111,a),divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),zero)))) ),[1],$fot(divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),a))))]]) ).
cnf(refute_0_201,plain,
( ~ less_equal(divide(X_111,a),divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),zero))))
| less_equal(divide(X_111,a),divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),a)))) ),
inference(resolve,[$cnf( $equal(divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),zero))),divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),a)))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
less_equal(divide(X_111,a),divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),a)))),
inference(resolve,[$cnf( less_equal(divide(X_111,a),divide(X_111,divide(divide(X_14,zero),divide(divide(X_14,a),zero)))) )],[refute_0_191,refute_0_201]) ).
cnf(refute_0_203,plain,
less_equal(divide(X_612,a),divide(X_612,divide(divide(X_613,zero),divide(divide(X_613,a),a)))),
inference(subst,[],[refute_0_202:[bind(X_111,$fot(X_612)),bind(X_14,$fot(X_613))]]) ).
cnf(refute_0_204,plain,
divide(divide(X_612,a),divide(X_612,divide(divide(X_613,zero),divide(divide(X_613,a),a)))) = zero,
inference(resolve,[$cnf( less_equal(divide(X_612,a),divide(X_612,divide(divide(X_613,zero),divide(divide(X_613,a),a)))) )],[refute_0_203,refute_0_187]) ).
cnf(refute_0_205,plain,
divide(divide(identity,a),divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a)))) = zero,
inference(subst,[],[refute_0_204:[bind(X_612,$fot(identity)),bind(X_613,$fot(X_622))]]) ).
cnf(refute_0_206,plain,
( divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(divide(divide(identity,a),divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a)))),a)) != zero
| divide(divide(identity,a),divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a)))) != zero
| divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(divide(divide(identity,a),divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a)))),a)),zero) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_207,plain,
( divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(divide(divide(identity,a),divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a)))),a)) != zero
| divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(identity,a),divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a)))),zero) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a)) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(divide(divide(identity,a),divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a)))),a)),zero) )],[refute_0_186,refute_0_207]) ).
cnf(refute_0_209,plain,
divide(zero,a) = zero,
inference(subst,[],[zero_divide_anything_is_zero:[bind(X,$fot(a))]]) ).
cnf(refute_0_210,plain,
divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a)) = divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a)),
introduced(tautology,[refl,[$fot(divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a)))]]) ).
cnf(refute_0_211,plain,
( divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a)) != divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a))
| divide(zero,a) != zero
| divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a)) = divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a)),divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_212,plain,
( divide(zero,a) != zero
| divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a)) = divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a)),divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a)) = divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),zero),
inference(resolve,[$cnf( $equal(divide(zero,a),zero) )],[refute_0_209,refute_0_212]) ).
cnf(refute_0_214,plain,
( divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a)) != divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),zero)
| divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a)) != zero
| divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a)),zero) ),[0],$fot(divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),zero))]]) ).
cnf(refute_0_215,plain,
( divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a)) != zero
| divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a)),divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),zero)) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),zero) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(divide(X_622,zero),divide(divide(X_622,a),a))),a)),divide(zero,a)),zero) )],[refute_0_208,refute_0_215]) ).
cnf(refute_0_217,plain,
divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(divide(identity,a),a))),a)),zero) = zero,
inference(subst,[],[refute_0_216:[bind(X_622,$fot(identity))]]) ).
cnf(refute_0_218,plain,
( divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(divide(identity,a),a))),a)),zero) != zero
| divide(divide(identity,a),a) != divide(identity,a)
| divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(divide(identity,a),a))),a)),zero),zero) ),[0,0,1,0,1,1],$fot(divide(identity,a))]]) ).
cnf(refute_0_219,plain,
( divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(divide(identity,a),a))),a)),zero) != zero
| divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(identity,a),a),divide(identity,a)) )],[refute_0_182,refute_0_218]) ).
cnf(refute_0_220,plain,
divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(divide(identity,a),a))),a)),zero),zero) )],[refute_0_217,refute_0_219]) ).
cnf(refute_0_221,plain,
divide(divide(identity,zero),divide(identity,a)) = divide(divide(identity,zero),divide(identity,a)),
introduced(tautology,[refl,[$fot(divide(divide(identity,zero),divide(identity,a)))]]) ).
cnf(refute_0_222,plain,
( divide(divide(identity,zero),divide(identity,a)) != divide(divide(identity,zero),divide(identity,a))
| divide(identity,zero) != identity
| divide(divide(identity,zero),divide(identity,a)) = divide(identity,divide(identity,a)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,zero),divide(identity,a)),divide(divide(identity,zero),divide(identity,a))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_223,plain,
( divide(identity,zero) != identity
| divide(divide(identity,zero),divide(identity,a)) = divide(identity,divide(identity,a)) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,zero),divide(identity,a)),divide(divide(identity,zero),divide(identity,a))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
divide(divide(identity,zero),divide(identity,a)) = divide(identity,divide(identity,a)),
inference(resolve,[$cnf( $equal(divide(identity,zero),identity) )],[refute_0_177,refute_0_223]) ).
cnf(refute_0_225,plain,
divide(identity,divide(divide(identity,zero),divide(identity,a))) = divide(identity,divide(divide(identity,zero),divide(identity,a))),
introduced(tautology,[refl,[$fot(divide(identity,divide(divide(identity,zero),divide(identity,a))))]]) ).
cnf(refute_0_226,plain,
( divide(divide(identity,zero),divide(identity,a)) != divide(identity,divide(identity,a))
| divide(identity,divide(divide(identity,zero),divide(identity,a))) != divide(identity,divide(divide(identity,zero),divide(identity,a)))
| divide(identity,divide(divide(identity,zero),divide(identity,a))) = divide(identity,divide(identity,divide(identity,a))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(identity,divide(divide(identity,zero),divide(identity,a))),divide(identity,divide(divide(identity,zero),divide(identity,a)))) ),[1,1],$fot(divide(identity,divide(identity,a)))]]) ).
cnf(refute_0_227,plain,
( divide(divide(identity,zero),divide(identity,a)) != divide(identity,divide(identity,a))
| divide(identity,divide(divide(identity,zero),divide(identity,a))) = divide(identity,divide(identity,divide(identity,a))) ),
inference(resolve,[$cnf( $equal(divide(identity,divide(divide(identity,zero),divide(identity,a))),divide(identity,divide(divide(identity,zero),divide(identity,a)))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
divide(identity,divide(divide(identity,zero),divide(identity,a))) = divide(identity,divide(identity,divide(identity,a))),
inference(resolve,[$cnf( $equal(divide(divide(identity,zero),divide(identity,a)),divide(identity,divide(identity,a))) )],[refute_0_224,refute_0_227]) ).
cnf(refute_0_229,plain,
divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a) = divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a),
introduced(tautology,[refl,[$fot(divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a))]]) ).
cnf(refute_0_230,plain,
( divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a) != divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)
| divide(identity,divide(divide(identity,zero),divide(identity,a))) != divide(identity,divide(identity,divide(identity,a)))
| divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a) = divide(divide(identity,divide(identity,divide(identity,a))),a) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)) ),[1,0],$fot(divide(identity,divide(identity,divide(identity,a))))]]) ).
cnf(refute_0_231,plain,
( divide(identity,divide(divide(identity,zero),divide(identity,a))) != divide(identity,divide(identity,divide(identity,a)))
| divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a) = divide(divide(identity,divide(identity,divide(identity,a))),a) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a) = divide(divide(identity,divide(identity,divide(identity,a))),a),
inference(resolve,[$cnf( $equal(divide(identity,divide(divide(identity,zero),divide(identity,a))),divide(identity,divide(identity,divide(identity,a)))) )],[refute_0_228,refute_0_231]) ).
cnf(refute_0_233,plain,
divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)) = divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),
introduced(tautology,[refl,[$fot(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)))]]) ).
cnf(refute_0_234,plain,
( divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a) != divide(divide(identity,divide(identity,divide(identity,a))),a)
| divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)) != divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a))
| divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)) = divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a))) ),[1,1],$fot(divide(divide(identity,divide(identity,divide(identity,a))),a))]]) ).
cnf(refute_0_235,plain,
( divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a) != divide(divide(identity,divide(identity,divide(identity,a))),a)
| divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)) = divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)) = divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a),divide(divide(identity,divide(identity,divide(identity,a))),a)) )],[refute_0_232,refute_0_235]) ).
cnf(refute_0_237,plain,
divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero) = divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero),
introduced(tautology,[refl,[$fot(divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero))]]) ).
cnf(refute_0_238,plain,
( divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero) != divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero)
| divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)) != divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))
| divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero) = divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero),divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero)) ),[1,0],$fot(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))]]) ).
cnf(refute_0_239,plain,
( divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)) != divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))
| divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero) = divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero),divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero)) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero) = divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero),
inference(resolve,[$cnf( $equal(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))) )],[refute_0_236,refute_0_239]) ).
cnf(refute_0_241,plain,
( divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero) != divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero)
| divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero) != zero
| divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero),zero) ),[0],$fot(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero))]]) ).
cnf(refute_0_242,plain,
( divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero) != zero
| divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero),divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero)) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(divide(identity,zero),divide(identity,a))),a)),zero),zero) )],[refute_0_220,refute_0_242]) ).
cnf(refute_0_244,plain,
( ~ less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero),zero))
| divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero) != zero
| less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),divide(zero,zero)) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero),zero)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_245,plain,
( ~ less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero),zero))
| less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),divide(zero,zero)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero),zero) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),divide(zero,zero)),
inference(resolve,[$cnf( less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero),zero)) )],[refute_0_152,refute_0_245]) ).
cnf(refute_0_247,plain,
divide(zero,zero) = zero,
inference(subst,[],[x_divide_x_is_zero:[bind(X,$fot(zero))]]) ).
cnf(refute_0_248,plain,
( ~ less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),divide(zero,zero))
| divide(zero,zero) != zero
| less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),divide(zero,zero)) ),[1],$fot(zero)]]) ).
cnf(refute_0_249,plain,
( ~ less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),divide(zero,zero))
| less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero) ),
inference(resolve,[$cnf( $equal(divide(zero,zero),zero) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero),
inference(resolve,[$cnf( less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),divide(zero,zero)) )],[refute_0_246,refute_0_249]) ).
cnf(refute_0_251,plain,
zero = divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),
inference(resolve,[$cnf( less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero) )],[refute_0_250,refute_0_123]) ).
cnf(refute_0_252,plain,
( zero != divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))
| divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)) = zero ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))))]]) ).
cnf(refute_0_253,plain,
divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)) = zero,
inference(resolve,[$cnf( $equal(zero,divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
( divide(divide(divide(divide(identity,a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) != zero
| divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)) != zero
| divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(identity,a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))),zero) ),[0,0,0,1],$fot(zero)]]) ).
cnf(refute_0_255,plain,
( divide(divide(divide(divide(identity,a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) != zero
| divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(identity,a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))),zero) )],[refute_0_122,refute_0_255]) ).
cnf(refute_0_257,plain,
divide(divide(divide(identity,divide(identity,divide(identity,a))),a),zero) = divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a),
inference(subst,[],[refute_0_70:[bind(X_14,$fot(divide(identity,divide(identity,divide(identity,a))))),bind(X_16,$fot(a))]]) ).
cnf(refute_0_258,plain,
divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))) = divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))),
introduced(tautology,[refl,[$fot(divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))))]]) ).
cnf(refute_0_259,plain,
( divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))) != divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))
| divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)) != zero
| divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))) = divide(divide(divide(identity,divide(identity,divide(identity,a))),a),zero) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_260,plain,
( divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)) != zero
| divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))) = divide(divide(divide(identity,divide(identity,divide(identity,a))),a),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))) = divide(divide(divide(identity,divide(identity,divide(identity,a))),a),zero),
inference(resolve,[$cnf( $equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)),zero) )],[refute_0_253,refute_0_260]) ).
cnf(refute_0_262,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_263,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_36,refute_0_262]) ).
cnf(refute_0_264,plain,
( divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))) != divide(divide(divide(identity,divide(identity,divide(identity,a))),a),zero)
| divide(divide(divide(identity,divide(identity,divide(identity,a))),a),zero) != divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a)
| divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))) = divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a) ),
inference(subst,[],[refute_0_263:[bind(X0,$fot(divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))))),bind(Y0,$fot(divide(divide(divide(identity,divide(identity,divide(identity,a))),a),zero))),bind(Z0,$fot(divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a)))]]) ).
cnf(refute_0_265,plain,
( divide(divide(divide(identity,divide(identity,divide(identity,a))),a),zero) != divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a)
| divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))) = divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),zero)) )],[refute_0_261,refute_0_264]) ).
cnf(refute_0_266,plain,
divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))) = divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,divide(identity,divide(identity,a))),a),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a)) )],[refute_0_257,refute_0_265]) ).
cnf(refute_0_267,plain,
divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) = divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))),
introduced(tautology,[refl,[$fot(divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))))]]) ).
cnf(refute_0_268,plain,
( divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))) != divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a)
| divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) != divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))))
| divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) = divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))),divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))))) ),[1,1],$fot(divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a))]]) ).
cnf(refute_0_269,plain,
( divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))) != divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a)
| divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) = divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a)) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))),divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) = divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a)),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a)) )],[refute_0_266,refute_0_269]) ).
cnf(refute_0_271,plain,
divide(divide(divide(identity,a),a),a) = divide(divide(divide(identity,a),a),a),
introduced(tautology,[refl,[$fot(divide(divide(divide(identity,a),a),a))]]) ).
cnf(refute_0_272,plain,
( divide(divide(divide(identity,a),a),a) != divide(divide(divide(identity,a),a),a)
| divide(divide(identity,a),a) != divide(identity,a)
| divide(divide(divide(identity,a),a),a) = divide(divide(identity,a),a) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(identity,a),a),a),divide(divide(divide(identity,a),a),a)) ),[1,0],$fot(divide(identity,a))]]) ).
cnf(refute_0_273,plain,
( divide(divide(identity,a),a) != divide(identity,a)
| divide(divide(divide(identity,a),a),a) = divide(divide(identity,a),a) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,a),a),a),divide(divide(divide(identity,a),a),a)) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
divide(divide(divide(identity,a),a),a) = divide(divide(identity,a),a),
inference(resolve,[$cnf( $equal(divide(divide(identity,a),a),divide(identity,a)) )],[refute_0_182,refute_0_273]) ).
cnf(refute_0_275,plain,
( divide(divide(divide(identity,a),a),a) != divide(divide(identity,a),a)
| divide(divide(identity,a),a) != divide(identity,a)
| divide(divide(divide(identity,a),a),a) = divide(identity,a) ),
inference(subst,[],[refute_0_263:[bind(X0,$fot(divide(divide(divide(identity,a),a),a))),bind(Y0,$fot(divide(divide(identity,a),a))),bind(Z0,$fot(divide(identity,a)))]]) ).
cnf(refute_0_276,plain,
( divide(divide(identity,a),a) != divide(identity,a)
| divide(divide(divide(identity,a),a),a) = divide(identity,a) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,a),a),a),divide(divide(identity,a),a)) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
divide(divide(divide(identity,a),a),a) = divide(identity,a),
inference(resolve,[$cnf( $equal(divide(divide(identity,a),a),divide(identity,a)) )],[refute_0_182,refute_0_276]) ).
cnf(refute_0_278,plain,
divide(divide(divide(X_420,X_16),X_16),zero) = divide(divide(divide(X_420,X_16),X_16),X_16),
inference(subst,[],[refute_0_70:[bind(X_14,$fot(divide(X_420,X_16)))]]) ).
cnf(refute_0_279,plain,
divide(divide(X_420,X_16),zero) = divide(divide(X_420,X_16),X_16),
inference(subst,[],[refute_0_70:[bind(X_14,$fot(X_420))]]) ).
cnf(refute_0_280,plain,
( divide(divide(X_420,X_16),zero) != divide(divide(X_420,X_16),X_16)
| divide(divide(X_420,X_16),X_16) = divide(divide(X_420,X_16),zero) ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(divide(divide(X_420,X_16),zero))),bind(Y0,$fot(divide(divide(X_420,X_16),X_16)))]]) ).
cnf(refute_0_281,plain,
divide(divide(X_420,X_16),X_16) = divide(divide(X_420,X_16),zero),
inference(resolve,[$cnf( $equal(divide(divide(X_420,X_16),zero),divide(divide(X_420,X_16),X_16)) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
( divide(divide(X_420,X_16),X_16) != divide(divide(X_420,X_16),zero)
| divide(divide(divide(X_420,X_16),X_16),zero) != divide(divide(divide(X_420,X_16),X_16),X_16)
| divide(divide(divide(X_420,X_16),zero),zero) = divide(divide(divide(X_420,X_16),X_16),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_420,X_16),X_16),zero),divide(divide(divide(X_420,X_16),X_16),X_16)) ),[0,0],$fot(divide(divide(X_420,X_16),zero))]]) ).
cnf(refute_0_283,plain,
( divide(divide(divide(X_420,X_16),X_16),zero) != divide(divide(divide(X_420,X_16),X_16),X_16)
| divide(divide(divide(X_420,X_16),zero),zero) = divide(divide(divide(X_420,X_16),X_16),X_16) ),
inference(resolve,[$cnf( $equal(divide(divide(X_420,X_16),X_16),divide(divide(X_420,X_16),zero)) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
divide(divide(divide(X_420,X_16),zero),zero) = divide(divide(divide(X_420,X_16),X_16),X_16),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_420,X_16),X_16),zero),divide(divide(divide(X_420,X_16),X_16),X_16)) )],[refute_0_278,refute_0_283]) ).
cnf(refute_0_285,plain,
divide(divide(divide(identity,a),zero),zero) = divide(divide(divide(identity,a),a),a),
inference(subst,[],[refute_0_284:[bind(X_16,$fot(a)),bind(X_420,$fot(identity))]]) ).
cnf(refute_0_286,plain,
( divide(divide(divide(identity,a),a),a) != divide(identity,a)
| divide(divide(divide(identity,a),zero),zero) != divide(divide(divide(identity,a),a),a)
| divide(divide(divide(identity,a),zero),zero) = divide(identity,a) ),
inference(subst,[],[refute_0_263:[bind(X0,$fot(divide(divide(divide(identity,a),zero),zero))),bind(Y0,$fot(divide(divide(divide(identity,a),a),a))),bind(Z0,$fot(divide(identity,a)))]]) ).
cnf(refute_0_287,plain,
( divide(divide(divide(identity,a),a),a) != divide(identity,a)
| divide(divide(divide(identity,a),zero),zero) = divide(identity,a) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,a),a),a)) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
divide(divide(divide(identity,a),zero),zero) = divide(identity,a),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,a),a),a),divide(identity,a)) )],[refute_0_277,refute_0_287]) ).
cnf(refute_0_289,plain,
divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) = divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))),
introduced(tautology,[refl,[$fot(divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))))]]) ).
cnf(refute_0_290,plain,
( divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) != divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))))
| divide(divide(divide(identity,a),zero),zero) != divide(identity,a)
| divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) = divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))),divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))))) ),[1,0],$fot(divide(identity,a))]]) ).
cnf(refute_0_291,plain,
( divide(divide(divide(identity,a),zero),zero) != divide(identity,a)
| divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) = divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))),divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) = divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,a),zero),zero),divide(identity,a)) )],[refute_0_288,refute_0_291]) ).
cnf(refute_0_293,plain,
( divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) != divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))))
| divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) != divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a))
| divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) = divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a)) ),
inference(subst,[],[refute_0_263:[bind(X0,$fot(divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))))),bind(Y0,$fot(divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))))),bind(Z0,$fot(divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a))))]]) ).
cnf(refute_0_294,plain,
( divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) != divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a))
| divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) = divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))),divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a))))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) = divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a)),
inference(resolve,[$cnf( $equal(divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))),divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a))) )],[refute_0_270,refute_0_294]) ).
cnf(refute_0_296,plain,
( divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) != divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a))
| divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) != zero
| divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))),zero) ),[0],$fot(divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a)))]]) ).
cnf(refute_0_297,plain,
( divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))) != zero
| divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))),divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a)) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(identity,a),zero),zero),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),a)))),zero) )],[refute_0_256,refute_0_297]) ).
cnf(refute_0_299,plain,
( divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a))) != zero
| divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a)) != zero
| divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a))),zero) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_300,plain,
( divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a))) != zero
| divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a)),zero) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(divide(identity,a),divide(divide(divide(identity,divide(identity,divide(identity,a))),a),a))),zero) )],[refute_0_104,refute_0_300]) ).
cnf(refute_0_302,plain,
( divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero),a) != divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a)
| divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero) != zero
| divide(zero,a) = divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero),a),divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_303,plain,
( divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero),a) != divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a)
| divide(zero,a) = divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero),zero) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
divide(zero,a) = divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero),a),divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a)) )],[refute_0_93,refute_0_303]) ).
cnf(refute_0_305,plain,
( divide(zero,a) != divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a)
| divide(zero,a) != zero
| zero = divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a) ),
introduced(tautology,[equality,[$cnf( $equal(divide(zero,a),divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a)) ),[0],$fot(zero)]]) ).
cnf(refute_0_306,plain,
( divide(zero,a) != divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a)
| zero = divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a) ),
inference(resolve,[$cnf( $equal(divide(zero,a),zero) )],[refute_0_209,refute_0_305]) ).
cnf(refute_0_307,plain,
zero = divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a),
inference(resolve,[$cnf( $equal(divide(zero,a),divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a)) )],[refute_0_304,refute_0_306]) ).
cnf(refute_0_308,plain,
( zero != divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a)
| divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a) = zero ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a)))]]) ).
cnf(refute_0_309,plain,
divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a) = zero,
inference(resolve,[$cnf( $equal(zero,divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a)) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
( ~ less_equal(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a))
| divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a) != zero
| less_equal(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a)) ),[1],$fot(zero)]]) ).
cnf(refute_0_311,plain,
( ~ less_equal(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a))
| less_equal(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a),zero) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
less_equal(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),zero),
inference(resolve,[$cnf( less_equal(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),divide(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),a)) )],[refute_0_75,refute_0_311]) ).
cnf(refute_0_313,plain,
zero = divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),
inference(resolve,[$cnf( less_equal(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),zero) )],[refute_0_312,refute_0_60]) ).
cnf(refute_0_314,plain,
( zero != divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a)
| divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a) = zero ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a)))]]) ).
cnf(refute_0_315,plain,
divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a) = zero,
inference(resolve,[$cnf( $equal(zero,divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a)) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
( divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a) != zero
| zero != zero
| divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_317,plain,
( zero != zero
| divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),zero) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
( zero != zero
| less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),zero) )],[refute_0_317,refute_0_59]) ).
cnf(refute_0_319,plain,
less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_7,refute_0_318]) ).
cnf(refute_0_320,plain,
less_equal(divide(divide(identity,a),a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),
inference(resolve,[$cnf( less_equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),a) )],[refute_0_319,refute_0_58]) ).
cnf(refute_0_321,plain,
( ~ less_equal(divide(divide(identity,a),a),divide(divide(identity,divide(identity,divide(identity,a))),zero))
| divide(divide(identity,a),a) != divide(identity,a)
| less_equal(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(identity,a),a),divide(divide(identity,divide(identity,divide(identity,a))),zero)) ),[0],$fot(divide(identity,a))]]) ).
cnf(refute_0_322,plain,
( ~ less_equal(divide(divide(identity,a),a),divide(divide(identity,divide(identity,divide(identity,a))),zero))
| less_equal(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,a),a),divide(identity,a)) )],[refute_0_182,refute_0_321]) ).
cnf(refute_0_323,plain,
less_equal(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),
inference(resolve,[$cnf( less_equal(divide(divide(identity,a),a),divide(divide(identity,divide(identity,divide(identity,a))),zero)) )],[refute_0_320,refute_0_322]) ).
cnf(refute_0_324,plain,
divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)) = zero,
inference(resolve,[$cnf( less_equal(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)) )],[refute_0_323,refute_0_57]) ).
cnf(refute_0_325,plain,
( divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero))) != zero
| divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)) != zero
| divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_326,plain,
( divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero))) != zero
| divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero) )],[refute_0_56,refute_0_326]) ).
cnf(refute_0_328,plain,
( ~ less_equal(divide(a,X_349),divide(a,divide(X_349,zero)))
| ~ less_equal(divide(a,divide(X_349,zero)),divide(a,X_349))
| divide(a,X_349) = divide(a,divide(X_349,zero)) ),
inference(subst,[],[less_equal_and_equal:[bind(X,$fot(divide(a,X_349))),bind(Y,$fot(divide(a,divide(X_349,zero))))]]) ).
cnf(refute_0_329,plain,
( divide(divide(a,divide(X_320,zero)),divide(a,X_320)) != zero
| less_equal(divide(a,divide(X_320,zero)),divide(a,X_320)) ),
inference(subst,[],[quotient_less_equal2:[bind(X,$fot(divide(a,divide(X_320,zero)))),bind(Y,$fot(divide(a,X_320)))]]) ).
cnf(refute_0_330,plain,
less_equal(divide(divide(a,divide(X_21,zero)),divide(a,X_21)),divide(divide(a,divide(X_21,zero)),divide(divide(a,X_21),zero))),
inference(subst,[],[refute_0_97:[bind(Y,$fot(zero)),bind(X_110,$fot(divide(a,X_21))),bind(X_111,$fot(divide(a,divide(X_21,zero))))]]) ).
cnf(refute_0_331,plain,
( ~ less_equal(divide(a,divide(X_21,zero)),divide(divide(a,X_21),zero))
| divide(divide(a,divide(X_21,zero)),divide(divide(a,X_21),zero)) = zero ),
inference(subst,[],[quotient_less_equal1:[bind(X,$fot(divide(a,divide(X_21,zero)))),bind(Y,$fot(divide(divide(a,X_21),zero)))]]) ).
cnf(refute_0_332,plain,
less_equal(divide(divide(a,zero),divide(X_15,zero)),divide(divide(a,X_15),zero)),
inference(subst,[],[quotient_property:[bind(X,$fot(a)),bind(Y,$fot(X_15)),bind(Z,$fot(zero))]]) ).
cnf(refute_0_333,plain,
( ~ less_equal(divide(divide(a,zero),divide(X_15,zero)),divide(divide(a,X_15),zero))
| divide(a,zero) != a
| less_equal(divide(a,divide(X_15,zero)),divide(divide(a,X_15),zero)) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(a,zero),divide(X_15,zero)),divide(divide(a,X_15),zero)) ),[0,0],$fot(a)]]) ).
cnf(refute_0_334,plain,
( ~ less_equal(divide(divide(a,zero),divide(X_15,zero)),divide(divide(a,X_15),zero))
| less_equal(divide(a,divide(X_15,zero)),divide(divide(a,X_15),zero)) ),
inference(resolve,[$cnf( $equal(divide(a,zero),a) )],[x_divide_zero_is_x,refute_0_333]) ).
cnf(refute_0_335,plain,
less_equal(divide(a,divide(X_15,zero)),divide(divide(a,X_15),zero)),
inference(resolve,[$cnf( less_equal(divide(divide(a,zero),divide(X_15,zero)),divide(divide(a,X_15),zero)) )],[refute_0_332,refute_0_334]) ).
cnf(refute_0_336,plain,
less_equal(divide(a,divide(X_21,zero)),divide(divide(a,X_21),zero)),
inference(subst,[],[refute_0_335:[bind(X_15,$fot(X_21))]]) ).
cnf(refute_0_337,plain,
divide(divide(a,divide(X_21,zero)),divide(divide(a,X_21),zero)) = zero,
inference(resolve,[$cnf( less_equal(divide(a,divide(X_21,zero)),divide(divide(a,X_21),zero)) )],[refute_0_336,refute_0_331]) ).
cnf(refute_0_338,plain,
( ~ less_equal(divide(divide(a,divide(X_21,zero)),divide(a,X_21)),divide(divide(a,divide(X_21,zero)),divide(divide(a,X_21),zero)))
| divide(divide(a,divide(X_21,zero)),divide(divide(a,X_21),zero)) != zero
| less_equal(divide(divide(a,divide(X_21,zero)),divide(a,X_21)),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(a,divide(X_21,zero)),divide(a,X_21)),divide(divide(a,divide(X_21,zero)),divide(divide(a,X_21),zero))) ),[1],$fot(zero)]]) ).
cnf(refute_0_339,plain,
( ~ less_equal(divide(divide(a,divide(X_21,zero)),divide(a,X_21)),divide(divide(a,divide(X_21,zero)),divide(divide(a,X_21),zero)))
| less_equal(divide(divide(a,divide(X_21,zero)),divide(a,X_21)),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(a,divide(X_21,zero)),divide(divide(a,X_21),zero)),zero) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
less_equal(divide(divide(a,divide(X_21,zero)),divide(a,X_21)),zero),
inference(resolve,[$cnf( less_equal(divide(divide(a,divide(X_21,zero)),divide(a,X_21)),divide(divide(a,divide(X_21,zero)),divide(divide(a,X_21),zero))) )],[refute_0_330,refute_0_339]) ).
cnf(refute_0_341,plain,
( ~ less_equal(divide(divide(a,divide(X_21,zero)),divide(a,X_21)),zero)
| ~ less_equal(zero,divide(divide(a,divide(X_21,zero)),divide(a,X_21)))
| divide(divide(a,divide(X_21,zero)),divide(a,X_21)) = zero ),
inference(subst,[],[less_equal_and_equal:[bind(X,$fot(divide(divide(a,divide(X_21,zero)),divide(a,X_21)))),bind(Y,$fot(zero))]]) ).
cnf(refute_0_342,plain,
( ~ less_equal(zero,divide(divide(a,divide(X_21,zero)),divide(a,X_21)))
| divide(divide(a,divide(X_21,zero)),divide(a,X_21)) = zero ),
inference(resolve,[$cnf( less_equal(divide(divide(a,divide(X_21,zero)),divide(a,X_21)),zero) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
less_equal(zero,divide(divide(a,divide(X_21,zero)),divide(a,X_21))),
inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(divide(a,divide(X_21,zero)),divide(a,X_21))))]]) ).
cnf(refute_0_344,plain,
divide(divide(a,divide(X_21,zero)),divide(a,X_21)) = zero,
inference(resolve,[$cnf( less_equal(zero,divide(divide(a,divide(X_21,zero)),divide(a,X_21))) )],[refute_0_343,refute_0_342]) ).
cnf(refute_0_345,plain,
divide(divide(a,divide(X_320,zero)),divide(a,X_320)) = zero,
inference(subst,[],[refute_0_344:[bind(X_21,$fot(X_320))]]) ).
cnf(refute_0_346,plain,
( divide(divide(a,divide(X_320,zero)),divide(a,X_320)) != zero
| zero != zero
| divide(divide(a,divide(X_320,zero)),divide(a,X_320)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(a,divide(X_320,zero)),divide(a,X_320)),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_347,plain,
( zero != zero
| divide(divide(a,divide(X_320,zero)),divide(a,X_320)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(a,divide(X_320,zero)),divide(a,X_320)),zero) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
( zero != zero
| less_equal(divide(a,divide(X_320,zero)),divide(a,X_320)) ),
inference(resolve,[$cnf( $equal(divide(divide(a,divide(X_320,zero)),divide(a,X_320)),zero) )],[refute_0_347,refute_0_329]) ).
cnf(refute_0_349,plain,
less_equal(divide(a,divide(X_320,zero)),divide(a,X_320)),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_7,refute_0_348]) ).
cnf(refute_0_350,plain,
less_equal(divide(a,divide(X_349,zero)),divide(a,X_349)),
inference(subst,[],[refute_0_349:[bind(X_320,$fot(X_349))]]) ).
cnf(refute_0_351,plain,
( ~ less_equal(divide(a,X_349),divide(a,divide(X_349,zero)))
| divide(a,X_349) = divide(a,divide(X_349,zero)) ),
inference(resolve,[$cnf( less_equal(divide(a,divide(X_349,zero)),divide(a,X_349)) )],[refute_0_350,refute_0_328]) ).
cnf(refute_0_352,plain,
less_equal(divide(a,X_349),divide(a,divide(X_349,zero))),
inference(subst,[],[refute_0_97:[bind(Y,$fot(zero)),bind(X_110,$fot(X_349)),bind(X_111,$fot(a))]]) ).
cnf(refute_0_353,plain,
divide(a,X_349) = divide(a,divide(X_349,zero)),
inference(resolve,[$cnf( less_equal(divide(a,X_349),divide(a,divide(X_349,zero))) )],[refute_0_352,refute_0_351]) ).
cnf(refute_0_354,plain,
( divide(a,X_349) != divide(a,divide(X_349,zero))
| divide(a,divide(X_349,zero)) = divide(a,X_349) ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(divide(a,X_349))),bind(Y0,$fot(divide(a,divide(X_349,zero))))]]) ).
cnf(refute_0_355,plain,
divide(a,divide(X_349,zero)) = divide(a,X_349),
inference(resolve,[$cnf( $equal(divide(a,X_349),divide(a,divide(X_349,zero))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero)) = divide(a,divide(identity,divide(identity,divide(identity,a)))),
inference(subst,[],[refute_0_355:[bind(X_349,$fot(divide(identity,divide(identity,divide(identity,a)))))]]) ).
cnf(refute_0_357,plain,
divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))) = divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),
introduced(tautology,[refl,[$fot(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))))]]) ).
cnf(refute_0_358,plain,
( divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))) != divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero)))
| divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero)) != divide(a,divide(identity,divide(identity,divide(identity,a))))
| divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))) = divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero)))) ),[1,1],$fot(divide(a,divide(identity,divide(identity,divide(identity,a)))))]]) ).
cnf(refute_0_359,plain,
( divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero)) != divide(a,divide(identity,divide(identity,divide(identity,a))))
| divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))) = divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero)))) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))) = divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),
inference(resolve,[$cnf( $equal(divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))) )],[refute_0_356,refute_0_359]) ).
cnf(refute_0_361,plain,
divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero) = divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero),
introduced(tautology,[refl,[$fot(divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero))]]) ).
cnf(refute_0_362,plain,
( divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero) != divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero)
| divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))) != divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a)))))
| divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero) = divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero),divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero)) ),[1,0],$fot(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))))]]) ).
cnf(refute_0_363,plain,
( divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))) != divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a)))))
| divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero) = divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero),divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero)) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero) = divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a)))))) )],[refute_0_360,refute_0_363]) ).
cnf(refute_0_365,plain,
( divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero) != divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero)
| divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero) != zero
| divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero),zero) ),[0],$fot(divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero))]]) ).
cnf(refute_0_366,plain,
( divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero) != zero
| divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero),divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero)) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero))),zero),zero) )],[refute_0_327,refute_0_366]) ).
cnf(refute_0_368,plain,
( ~ less_equal(divide(a,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a)))
| ~ less_equal(divide(a,divide(identity,a)),divide(a,divide(identity,divide(identity,divide(identity,a)))))
| divide(a,divide(identity,a)) = divide(a,divide(identity,divide(identity,divide(identity,a)))) ),
inference(subst,[],[less_equal_and_equal:[bind(X,$fot(divide(a,divide(identity,a)))),bind(Y,$fot(divide(a,divide(identity,divide(identity,divide(identity,a))))))]]) ).
cnf(refute_0_369,plain,
( ~ less_equal(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero))
| less_equal(divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))) ),
inference(subst,[],[property_of_divide1:[bind(X,$fot(a)),bind(Y,$fot(divide(a,divide(identity,a)))),bind(Z,$fot(divide(divide(identity,divide(identity,divide(identity,a))),zero)))]]) ).
cnf(refute_0_370,plain,
( divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)) != zero
| less_equal(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)) ),
inference(subst,[],[quotient_less_equal2:[bind(X,$fot(divide(a,divide(a,divide(identity,a))))),bind(Y,$fot(divide(divide(identity,divide(identity,divide(identity,a))),zero)))]]) ).
cnf(refute_0_371,plain,
( ~ less_equal(divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero)
| zero = divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)) ),
inference(subst,[],[refute_0_20:[bind(X_318,$fot(divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero))))]]) ).
cnf(refute_0_372,plain,
( ~ less_equal(divide(a,divide(X_15,zero)),divide(divide(a,X_15),zero))
| less_equal(divide(divide(a,divide(X_15,zero)),X_267),divide(divide(divide(a,X_15),zero),X_267)) ),
inference(subst,[],[property_of_divide3:[bind(X,$fot(divide(a,divide(X_15,zero)))),bind(Y,$fot(divide(divide(a,X_15),zero))),bind(Z,$fot(X_267))]]) ).
cnf(refute_0_373,plain,
less_equal(divide(divide(a,divide(X_15,zero)),X_267),divide(divide(divide(a,X_15),zero),X_267)),
inference(resolve,[$cnf( less_equal(divide(a,divide(X_15,zero)),divide(divide(a,X_15),zero)) )],[refute_0_335,refute_0_372]) ).
cnf(refute_0_374,plain,
divide(a,divide(X_15,zero)) = divide(a,X_15),
inference(subst,[],[refute_0_355:[bind(X_349,$fot(X_15))]]) ).
cnf(refute_0_375,plain,
divide(divide(a,divide(X_15,zero)),X_267) = divide(divide(a,divide(X_15,zero)),X_267),
introduced(tautology,[refl,[$fot(divide(divide(a,divide(X_15,zero)),X_267))]]) ).
cnf(refute_0_376,plain,
( divide(divide(a,divide(X_15,zero)),X_267) != divide(divide(a,divide(X_15,zero)),X_267)
| divide(a,divide(X_15,zero)) != divide(a,X_15)
| divide(divide(a,divide(X_15,zero)),X_267) = divide(divide(a,X_15),X_267) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(a,divide(X_15,zero)),X_267),divide(divide(a,divide(X_15,zero)),X_267)) ),[1,0],$fot(divide(a,X_15))]]) ).
cnf(refute_0_377,plain,
( divide(a,divide(X_15,zero)) != divide(a,X_15)
| divide(divide(a,divide(X_15,zero)),X_267) = divide(divide(a,X_15),X_267) ),
inference(resolve,[$cnf( $equal(divide(divide(a,divide(X_15,zero)),X_267),divide(divide(a,divide(X_15,zero)),X_267)) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
divide(divide(a,divide(X_15,zero)),X_267) = divide(divide(a,X_15),X_267),
inference(resolve,[$cnf( $equal(divide(a,divide(X_15,zero)),divide(a,X_15)) )],[refute_0_374,refute_0_377]) ).
cnf(refute_0_379,plain,
( ~ less_equal(divide(divide(a,divide(X_15,zero)),X_267),divide(divide(divide(a,X_15),zero),X_267))
| divide(divide(a,divide(X_15,zero)),X_267) != divide(divide(a,X_15),X_267)
| less_equal(divide(divide(a,X_15),X_267),divide(divide(divide(a,X_15),zero),X_267)) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(a,divide(X_15,zero)),X_267),divide(divide(divide(a,X_15),zero),X_267)) ),[0],$fot(divide(divide(a,X_15),X_267))]]) ).
cnf(refute_0_380,plain,
( ~ less_equal(divide(divide(a,divide(X_15,zero)),X_267),divide(divide(divide(a,X_15),zero),X_267))
| less_equal(divide(divide(a,X_15),X_267),divide(divide(divide(a,X_15),zero),X_267)) ),
inference(resolve,[$cnf( $equal(divide(divide(a,divide(X_15,zero)),X_267),divide(divide(a,X_15),X_267)) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
less_equal(divide(divide(a,X_15),X_267),divide(divide(divide(a,X_15),zero),X_267)),
inference(resolve,[$cnf( less_equal(divide(divide(a,divide(X_15,zero)),X_267),divide(divide(divide(a,X_15),zero),X_267)) )],[refute_0_373,refute_0_380]) ).
cnf(refute_0_382,plain,
less_equal(divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero))),
inference(subst,[],[refute_0_381:[bind(X_15,$fot(divide(a,divide(identity,a)))),bind(X_267,$fot(divide(divide(identity,divide(identity,divide(identity,a))),zero)))]]) ).
cnf(refute_0_383,plain,
( ~ less_equal(divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero)
| zero = divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero)) ),
inference(subst,[],[refute_0_20:[bind(X_318,$fot(divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero))))]]) ).
cnf(refute_0_384,plain,
( ~ less_equal(divide(divide(a,divide(divide(a,X_167),zero)),X_167),zero)
| less_equal(divide(divide(a,divide(divide(a,X_167),zero)),zero),X_167) ),
inference(subst,[],[property_of_divide1:[bind(X,$fot(divide(a,divide(divide(a,X_167),zero)))),bind(Y,$fot(X_167)),bind(Z,$fot(zero))]]) ).
cnf(refute_0_385,plain,
less_equal(divide(divide(a,divide(divide(a,X_164),zero)),X_164),divide(divide(a,divide(divide(a,X_164),zero)),divide(X_164,zero))),
inference(subst,[],[refute_0_97:[bind(Y,$fot(zero)),bind(X_110,$fot(X_164)),bind(X_111,$fot(divide(a,divide(divide(a,X_164),zero))))]]) ).
cnf(refute_0_386,plain,
( ~ less_equal(divide(a,divide(divide(a,X_93),zero)),divide(X_93,zero))
| divide(divide(a,divide(divide(a,X_93),zero)),divide(X_93,zero)) = zero ),
inference(subst,[],[quotient_less_equal1:[bind(X,$fot(divide(a,divide(divide(a,X_93),zero)))),bind(Y,$fot(divide(X_93,zero)))]]) ).
cnf(refute_0_387,plain,
( ~ less_equal(divide(a,divide(X_15,zero)),divide(divide(a,X_15),zero))
| less_equal(divide(a,divide(divide(a,X_15),zero)),divide(X_15,zero)) ),
inference(subst,[],[property_of_divide1:[bind(X,$fot(a)),bind(Y,$fot(divide(X_15,zero))),bind(Z,$fot(divide(divide(a,X_15),zero)))]]) ).
cnf(refute_0_388,plain,
less_equal(divide(a,divide(divide(a,X_15),zero)),divide(X_15,zero)),
inference(resolve,[$cnf( less_equal(divide(a,divide(X_15,zero)),divide(divide(a,X_15),zero)) )],[refute_0_335,refute_0_387]) ).
cnf(refute_0_389,plain,
less_equal(divide(a,divide(divide(a,X_93),zero)),divide(X_93,zero)),
inference(subst,[],[refute_0_388:[bind(X_15,$fot(X_93))]]) ).
cnf(refute_0_390,plain,
divide(divide(a,divide(divide(a,X_93),zero)),divide(X_93,zero)) = zero,
inference(resolve,[$cnf( less_equal(divide(a,divide(divide(a,X_93),zero)),divide(X_93,zero)) )],[refute_0_389,refute_0_386]) ).
cnf(refute_0_391,plain,
divide(divide(a,divide(divide(a,X_164),zero)),divide(X_164,zero)) = zero,
inference(subst,[],[refute_0_390:[bind(X_93,$fot(X_164))]]) ).
cnf(refute_0_392,plain,
( ~ less_equal(divide(divide(a,divide(divide(a,X_164),zero)),X_164),divide(divide(a,divide(divide(a,X_164),zero)),divide(X_164,zero)))
| divide(divide(a,divide(divide(a,X_164),zero)),divide(X_164,zero)) != zero
| less_equal(divide(divide(a,divide(divide(a,X_164),zero)),X_164),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(a,divide(divide(a,X_164),zero)),X_164),divide(divide(a,divide(divide(a,X_164),zero)),divide(X_164,zero))) ),[1],$fot(zero)]]) ).
cnf(refute_0_393,plain,
( ~ less_equal(divide(divide(a,divide(divide(a,X_164),zero)),X_164),divide(divide(a,divide(divide(a,X_164),zero)),divide(X_164,zero)))
| less_equal(divide(divide(a,divide(divide(a,X_164),zero)),X_164),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(a,divide(divide(a,X_164),zero)),divide(X_164,zero)),zero) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
less_equal(divide(divide(a,divide(divide(a,X_164),zero)),X_164),zero),
inference(resolve,[$cnf( less_equal(divide(divide(a,divide(divide(a,X_164),zero)),X_164),divide(divide(a,divide(divide(a,X_164),zero)),divide(X_164,zero))) )],[refute_0_385,refute_0_393]) ).
cnf(refute_0_395,plain,
less_equal(divide(divide(a,divide(divide(a,X_167),zero)),X_167),zero),
inference(subst,[],[refute_0_394:[bind(X_164,$fot(X_167))]]) ).
cnf(refute_0_396,plain,
less_equal(divide(divide(a,divide(divide(a,X_167),zero)),zero),X_167),
inference(resolve,[$cnf( less_equal(divide(divide(a,divide(divide(a,X_167),zero)),X_167),zero) )],[refute_0_395,refute_0_384]) ).
cnf(refute_0_397,plain,
less_equal(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_266),
inference(subst,[],[refute_0_396:[bind(X_167,$fot(X_266))]]) ).
cnf(refute_0_398,plain,
( ~ less_equal(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_266)
| less_equal(divide(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_267),divide(X_266,X_267)) ),
inference(subst,[],[property_of_divide3:[bind(X,$fot(divide(divide(a,divide(divide(a,X_266),zero)),zero))),bind(Y,$fot(X_266)),bind(Z,$fot(X_267))]]) ).
cnf(refute_0_399,plain,
less_equal(divide(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_267),divide(X_266,X_267)),
inference(resolve,[$cnf( less_equal(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_266) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
( ~ less_equal(divide(X_639,divide(divide(a,X_640),zero)),divide(X_639,divide(a,X_640)))
| ~ less_equal(divide(X_639,divide(a,X_640)),divide(X_639,divide(divide(a,X_640),zero)))
| divide(X_639,divide(a,X_640)) = divide(X_639,divide(divide(a,X_640),zero)) ),
inference(subst,[],[less_equal_and_equal:[bind(X,$fot(divide(X_639,divide(a,X_640)))),bind(Y,$fot(divide(X_639,divide(divide(a,X_640),zero))))]]) ).
cnf(refute_0_401,plain,
( ~ less_equal(divide(a,divide(X_15,zero)),divide(divide(a,X_15),zero))
| less_equal(divide(X_111,divide(divide(a,X_15),zero)),divide(X_111,divide(a,divide(X_15,zero)))) ),
inference(subst,[],[property_of_divide2:[bind(X,$fot(divide(a,divide(X_15,zero)))),bind(Y,$fot(divide(divide(a,X_15),zero))),bind(Z,$fot(X_111))]]) ).
cnf(refute_0_402,plain,
less_equal(divide(X_111,divide(divide(a,X_15),zero)),divide(X_111,divide(a,divide(X_15,zero)))),
inference(resolve,[$cnf( less_equal(divide(a,divide(X_15,zero)),divide(divide(a,X_15),zero)) )],[refute_0_335,refute_0_401]) ).
cnf(refute_0_403,plain,
divide(X_111,divide(a,divide(X_15,zero))) = divide(X_111,divide(a,divide(X_15,zero))),
introduced(tautology,[refl,[$fot(divide(X_111,divide(a,divide(X_15,zero))))]]) ).
cnf(refute_0_404,plain,
( divide(X_111,divide(a,divide(X_15,zero))) != divide(X_111,divide(a,divide(X_15,zero)))
| divide(a,divide(X_15,zero)) != divide(a,X_15)
| divide(X_111,divide(a,divide(X_15,zero))) = divide(X_111,divide(a,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_111,divide(a,divide(X_15,zero))),divide(X_111,divide(a,divide(X_15,zero)))) ),[1,1],$fot(divide(a,X_15))]]) ).
cnf(refute_0_405,plain,
( divide(a,divide(X_15,zero)) != divide(a,X_15)
| divide(X_111,divide(a,divide(X_15,zero))) = divide(X_111,divide(a,X_15)) ),
inference(resolve,[$cnf( $equal(divide(X_111,divide(a,divide(X_15,zero))),divide(X_111,divide(a,divide(X_15,zero)))) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
divide(X_111,divide(a,divide(X_15,zero))) = divide(X_111,divide(a,X_15)),
inference(resolve,[$cnf( $equal(divide(a,divide(X_15,zero)),divide(a,X_15)) )],[refute_0_374,refute_0_405]) ).
cnf(refute_0_407,plain,
( ~ less_equal(divide(X_111,divide(divide(a,X_15),zero)),divide(X_111,divide(a,divide(X_15,zero))))
| divide(X_111,divide(a,divide(X_15,zero))) != divide(X_111,divide(a,X_15))
| less_equal(divide(X_111,divide(divide(a,X_15),zero)),divide(X_111,divide(a,X_15))) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(X_111,divide(divide(a,X_15),zero)),divide(X_111,divide(a,divide(X_15,zero)))) ),[1],$fot(divide(X_111,divide(a,X_15)))]]) ).
cnf(refute_0_408,plain,
( ~ less_equal(divide(X_111,divide(divide(a,X_15),zero)),divide(X_111,divide(a,divide(X_15,zero))))
| less_equal(divide(X_111,divide(divide(a,X_15),zero)),divide(X_111,divide(a,X_15))) ),
inference(resolve,[$cnf( $equal(divide(X_111,divide(a,divide(X_15,zero))),divide(X_111,divide(a,X_15))) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
less_equal(divide(X_111,divide(divide(a,X_15),zero)),divide(X_111,divide(a,X_15))),
inference(resolve,[$cnf( less_equal(divide(X_111,divide(divide(a,X_15),zero)),divide(X_111,divide(a,divide(X_15,zero)))) )],[refute_0_402,refute_0_408]) ).
cnf(refute_0_410,plain,
less_equal(divide(X_639,divide(divide(a,X_640),zero)),divide(X_639,divide(a,X_640))),
inference(subst,[],[refute_0_409:[bind(X_111,$fot(X_639)),bind(X_15,$fot(X_640))]]) ).
cnf(refute_0_411,plain,
( ~ less_equal(divide(X_639,divide(a,X_640)),divide(X_639,divide(divide(a,X_640),zero)))
| divide(X_639,divide(a,X_640)) = divide(X_639,divide(divide(a,X_640),zero)) ),
inference(resolve,[$cnf( less_equal(divide(X_639,divide(divide(a,X_640),zero)),divide(X_639,divide(a,X_640))) )],[refute_0_410,refute_0_400]) ).
cnf(refute_0_412,plain,
less_equal(divide(X_639,divide(a,X_640)),divide(X_639,divide(divide(a,X_640),zero))),
inference(subst,[],[refute_0_97:[bind(Y,$fot(zero)),bind(X_110,$fot(divide(a,X_640))),bind(X_111,$fot(X_639))]]) ).
cnf(refute_0_413,plain,
divide(X_639,divide(a,X_640)) = divide(X_639,divide(divide(a,X_640),zero)),
inference(resolve,[$cnf( less_equal(divide(X_639,divide(a,X_640)),divide(X_639,divide(divide(a,X_640),zero))) )],[refute_0_412,refute_0_411]) ).
cnf(refute_0_414,plain,
( divide(X_639,divide(a,X_640)) != divide(X_639,divide(divide(a,X_640),zero))
| divide(X_639,divide(divide(a,X_640),zero)) = divide(X_639,divide(a,X_640)) ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(divide(X_639,divide(a,X_640)))),bind(Y0,$fot(divide(X_639,divide(divide(a,X_640),zero))))]]) ).
cnf(refute_0_415,plain,
divide(X_639,divide(divide(a,X_640),zero)) = divide(X_639,divide(a,X_640)),
inference(resolve,[$cnf( $equal(divide(X_639,divide(a,X_640)),divide(X_639,divide(divide(a,X_640),zero))) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
divide(a,divide(divide(a,X_266),zero)) = divide(a,divide(a,X_266)),
inference(subst,[],[refute_0_415:[bind(X_639,$fot(a)),bind(X_640,$fot(X_266))]]) ).
cnf(refute_0_417,plain,
divide(divide(a,divide(divide(a,X_266),zero)),zero) = divide(divide(a,divide(divide(a,X_266),zero)),zero),
introduced(tautology,[refl,[$fot(divide(divide(a,divide(divide(a,X_266),zero)),zero))]]) ).
cnf(refute_0_418,plain,
( divide(divide(a,divide(divide(a,X_266),zero)),zero) != divide(divide(a,divide(divide(a,X_266),zero)),zero)
| divide(a,divide(divide(a,X_266),zero)) != divide(a,divide(a,X_266))
| divide(divide(a,divide(divide(a,X_266),zero)),zero) = divide(divide(a,divide(a,X_266)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(a,divide(divide(a,X_266),zero)),zero),divide(divide(a,divide(divide(a,X_266),zero)),zero)) ),[1,0],$fot(divide(a,divide(a,X_266)))]]) ).
cnf(refute_0_419,plain,
( divide(a,divide(divide(a,X_266),zero)) != divide(a,divide(a,X_266))
| divide(divide(a,divide(divide(a,X_266),zero)),zero) = divide(divide(a,divide(a,X_266)),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(a,divide(divide(a,X_266),zero)),zero),divide(divide(a,divide(divide(a,X_266),zero)),zero)) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
divide(divide(a,divide(divide(a,X_266),zero)),zero) = divide(divide(a,divide(a,X_266)),zero),
inference(resolve,[$cnf( $equal(divide(a,divide(divide(a,X_266),zero)),divide(a,divide(a,X_266))) )],[refute_0_416,refute_0_419]) ).
cnf(refute_0_421,plain,
divide(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_267) = divide(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_267),
introduced(tautology,[refl,[$fot(divide(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_267))]]) ).
cnf(refute_0_422,plain,
( divide(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_267) != divide(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_267)
| divide(divide(a,divide(divide(a,X_266),zero)),zero) != divide(divide(a,divide(a,X_266)),zero)
| divide(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_267) = divide(divide(divide(a,divide(a,X_266)),zero),X_267) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_267),divide(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_267)) ),[1,0],$fot(divide(divide(a,divide(a,X_266)),zero))]]) ).
cnf(refute_0_423,plain,
( divide(divide(a,divide(divide(a,X_266),zero)),zero) != divide(divide(a,divide(a,X_266)),zero)
| divide(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_267) = divide(divide(divide(a,divide(a,X_266)),zero),X_267) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_267),divide(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_267)) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
divide(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_267) = divide(divide(divide(a,divide(a,X_266)),zero),X_267),
inference(resolve,[$cnf( $equal(divide(divide(a,divide(divide(a,X_266),zero)),zero),divide(divide(a,divide(a,X_266)),zero)) )],[refute_0_420,refute_0_423]) ).
cnf(refute_0_425,plain,
( ~ less_equal(divide(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_267),divide(X_266,X_267))
| divide(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_267) != divide(divide(divide(a,divide(a,X_266)),zero),X_267)
| less_equal(divide(divide(divide(a,divide(a,X_266)),zero),X_267),divide(X_266,X_267)) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_267),divide(X_266,X_267)) ),[0],$fot(divide(divide(divide(a,divide(a,X_266)),zero),X_267))]]) ).
cnf(refute_0_426,plain,
( ~ less_equal(divide(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_267),divide(X_266,X_267))
| less_equal(divide(divide(divide(a,divide(a,X_266)),zero),X_267),divide(X_266,X_267)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_267),divide(divide(divide(a,divide(a,X_266)),zero),X_267)) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
less_equal(divide(divide(divide(a,divide(a,X_266)),zero),X_267),divide(X_266,X_267)),
inference(resolve,[$cnf( less_equal(divide(divide(divide(a,divide(divide(a,X_266),zero)),zero),X_267),divide(X_266,X_267)) )],[refute_0_399,refute_0_426]) ).
cnf(refute_0_428,plain,
less_equal(divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero))),
inference(subst,[],[refute_0_427:[bind(X_266,$fot(divide(identity,a))),bind(X_267,$fot(divide(divide(identity,divide(identity,divide(identity,a))),zero)))]]) ).
cnf(refute_0_429,plain,
( ~ less_equal(divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)))
| divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)) != zero
| less_equal(divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero))) ),[1],$fot(zero)]]) ).
cnf(refute_0_430,plain,
( ~ less_equal(divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)))
| less_equal(divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero) )],[refute_0_324,refute_0_429]) ).
cnf(refute_0_431,plain,
less_equal(divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero),
inference(resolve,[$cnf( less_equal(divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(divide(identity,a),divide(divide(identity,divide(identity,divide(identity,a))),zero))) )],[refute_0_428,refute_0_430]) ).
cnf(refute_0_432,plain,
zero = divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero)),
inference(resolve,[$cnf( less_equal(divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero) )],[refute_0_431,refute_0_383]) ).
cnf(refute_0_433,plain,
( zero != divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero))
| divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero)) = zero ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero))))]]) ).
cnf(refute_0_434,plain,
divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero)) = zero,
inference(resolve,[$cnf( $equal(zero,divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
( ~ less_equal(divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero)))
| divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero)) != zero
| less_equal(divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero))) ),[1],$fot(zero)]]) ).
cnf(refute_0_436,plain,
( ~ less_equal(divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero)))
| less_equal(divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
less_equal(divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero),
inference(resolve,[$cnf( less_equal(divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(divide(divide(a,divide(a,divide(identity,a))),zero),divide(divide(identity,divide(identity,divide(identity,a))),zero))) )],[refute_0_382,refute_0_436]) ).
cnf(refute_0_438,plain,
zero = divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)),
inference(resolve,[$cnf( less_equal(divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero) )],[refute_0_437,refute_0_371]) ).
cnf(refute_0_439,plain,
( zero != divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero))
| divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)) = zero ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero))))]]) ).
cnf(refute_0_440,plain,
divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)) = zero,
inference(resolve,[$cnf( $equal(zero,divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero))) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
( divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)) != zero
| zero != zero
| divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_442,plain,
( zero != zero
| divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
( zero != zero
| less_equal(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)) ),
inference(resolve,[$cnf( $equal(divide(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero) )],[refute_0_442,refute_0_370]) ).
cnf(refute_0_444,plain,
less_equal(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_7,refute_0_443]) ).
cnf(refute_0_445,plain,
less_equal(divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),
inference(resolve,[$cnf( less_equal(divide(a,divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,a))),zero)) )],[refute_0_444,refute_0_369]) ).
cnf(refute_0_446,plain,
( ~ less_equal(divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a)))
| divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero)) != divide(a,divide(identity,divide(identity,divide(identity,a))))
| less_equal(divide(a,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))) ),[0],$fot(divide(a,divide(identity,divide(identity,divide(identity,a)))))]]) ).
cnf(refute_0_447,plain,
( ~ less_equal(divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a)))
| less_equal(divide(a,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))) ),
inference(resolve,[$cnf( $equal(divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))) )],[refute_0_356,refute_0_446]) ).
cnf(refute_0_448,plain,
less_equal(divide(a,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))),
inference(resolve,[$cnf( less_equal(divide(a,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))) )],[refute_0_445,refute_0_447]) ).
cnf(refute_0_449,plain,
( ~ less_equal(divide(a,divide(identity,a)),divide(a,divide(identity,divide(identity,divide(identity,a)))))
| divide(a,divide(identity,a)) = divide(a,divide(identity,divide(identity,divide(identity,a)))) ),
inference(resolve,[$cnf( less_equal(divide(a,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))) )],[refute_0_448,refute_0_368]) ).
cnf(refute_0_450,plain,
less_equal(divide(a,divide(identity,a)),divide(a,divide(identity,divide(identity,divide(identity,a))))),
inference(subst,[],[refute_0_14:[bind(X_110,$fot(divide(identity,a))),bind(X_111,$fot(a)),bind(X_69,$fot(identity))]]) ).
cnf(refute_0_451,plain,
divide(a,divide(identity,a)) = divide(a,divide(identity,divide(identity,divide(identity,a)))),
inference(resolve,[$cnf( less_equal(divide(a,divide(identity,a)),divide(a,divide(identity,divide(identity,divide(identity,a))))) )],[refute_0_450,refute_0_449]) ).
cnf(refute_0_452,plain,
( divide(a,divide(identity,a)) != divide(a,divide(identity,divide(identity,divide(identity,a))))
| divide(a,divide(identity,divide(identity,divide(identity,a)))) = divide(a,divide(identity,a)) ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(divide(a,divide(identity,a)))),bind(Y0,$fot(divide(a,divide(identity,divide(identity,divide(identity,a))))))]]) ).
cnf(refute_0_453,plain,
divide(a,divide(identity,divide(identity,divide(identity,a)))) = divide(a,divide(identity,a)),
inference(resolve,[$cnf( $equal(divide(a,divide(identity,a)),divide(a,divide(identity,divide(identity,divide(identity,a))))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))) = divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),
introduced(tautology,[refl,[$fot(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))))]]) ).
cnf(refute_0_455,plain,
( divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))) != divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a)))))
| divide(a,divide(identity,divide(identity,divide(identity,a)))) != divide(a,divide(identity,a))
| divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))) = divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a)))))) ),[1,1],$fot(divide(a,divide(identity,a)))]]) ).
cnf(refute_0_456,plain,
( divide(a,divide(identity,divide(identity,divide(identity,a)))) != divide(a,divide(identity,a))
| divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))) = divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a)))))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))) = divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),
inference(resolve,[$cnf( $equal(divide(a,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))) )],[refute_0_453,refute_0_456]) ).
cnf(refute_0_458,plain,
divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero) = divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero),
introduced(tautology,[refl,[$fot(divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero))]]) ).
cnf(refute_0_459,plain,
( divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero) != divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero)
| divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))) != divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a)))
| divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero) = divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero),divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero)) ),[1,0],$fot(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))))]]) ).
cnf(refute_0_460,plain,
( divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))) != divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a)))
| divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero) = divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero),divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero)) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero) = divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a)))) )],[refute_0_457,refute_0_460]) ).
cnf(refute_0_462,plain,
( divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero) != divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero)
| divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero) != zero
| divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero),zero) ),[0],$fot(divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero))]]) ).
cnf(refute_0_463,plain,
( divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero) != zero
| divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero),divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero)) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,divide(identity,divide(identity,a))))),zero),zero) )],[refute_0_367,refute_0_463]) ).
cnf(refute_0_465,plain,
( divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero)),divide(a,divide(identity,a))) != zero
| divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero) != zero
| divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero),divide(a,divide(identity,a))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero) ),[0,0,1],$fot(zero)]]) ).
cnf(refute_0_466,plain,
( divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero)),divide(a,divide(identity,a))) != zero
| divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero),divide(a,divide(identity,a))) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero),zero) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero),divide(a,divide(identity,a))) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero) )],[refute_0_52,refute_0_466]) ).
cnf(refute_0_468,plain,
( ~ less_equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero),divide(a,divide(identity,a))))
| divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero),divide(a,divide(identity,a))) != zero
| less_equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero),divide(a,divide(identity,a)))) ),[1],$fot(zero)]]) ).
cnf(refute_0_469,plain,
( ~ less_equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero),divide(a,divide(identity,a))))
| less_equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero),divide(a,divide(identity,a))),zero) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
less_equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero),
inference(resolve,[$cnf( less_equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),divide(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),zero),divide(a,divide(identity,a)))) )],[refute_0_45,refute_0_469]) ).
cnf(refute_0_471,plain,
( ~ less_equal(divide(X_1233,X_1234),divide(X_1233,divide(X_1234,zero)))
| ~ less_equal(divide(X_1233,divide(X_1234,zero)),divide(X_1233,X_1234))
| divide(X_1233,X_1234) = divide(X_1233,divide(X_1234,zero)) ),
inference(subst,[],[less_equal_and_equal:[bind(X,$fot(divide(X_1233,X_1234))),bind(Y,$fot(divide(X_1233,divide(X_1234,zero))))]]) ).
cnf(refute_0_472,plain,
( ~ less_equal(X_345,divide(X_345,zero))
| less_equal(divide(Z,divide(X_345,zero)),divide(Z,X_345)) ),
inference(subst,[],[property_of_divide2:[bind(X,$fot(X_345)),bind(Y,$fot(divide(X_345,zero)))]]) ).
cnf(refute_0_473,plain,
less_equal(divide(Z,divide(X_345,zero)),divide(Z,X_345)),
inference(resolve,[$cnf( less_equal(X_345,divide(X_345,zero)) )],[refute_0_43,refute_0_472]) ).
cnf(refute_0_474,plain,
less_equal(divide(X_1233,divide(X_1234,zero)),divide(X_1233,X_1234)),
inference(subst,[],[refute_0_473:[bind(Z,$fot(X_1233)),bind(X_345,$fot(X_1234))]]) ).
cnf(refute_0_475,plain,
( ~ less_equal(divide(X_1233,X_1234),divide(X_1233,divide(X_1234,zero)))
| divide(X_1233,X_1234) = divide(X_1233,divide(X_1234,zero)) ),
inference(resolve,[$cnf( less_equal(divide(X_1233,divide(X_1234,zero)),divide(X_1233,X_1234)) )],[refute_0_474,refute_0_471]) ).
cnf(refute_0_476,plain,
less_equal(divide(X_1233,X_1234),divide(X_1233,divide(X_1234,zero))),
inference(subst,[],[refute_0_97:[bind(Y,$fot(zero)),bind(X_110,$fot(X_1234)),bind(X_111,$fot(X_1233))]]) ).
cnf(refute_0_477,plain,
divide(X_1233,X_1234) = divide(X_1233,divide(X_1234,zero)),
inference(resolve,[$cnf( less_equal(divide(X_1233,X_1234),divide(X_1233,divide(X_1234,zero))) )],[refute_0_476,refute_0_475]) ).
cnf(refute_0_478,plain,
( divide(X_1233,X_1234) != divide(X_1233,divide(X_1234,zero))
| divide(X_1233,divide(X_1234,zero)) = divide(X_1233,X_1234) ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(divide(X_1233,X_1234))),bind(Y0,$fot(divide(X_1233,divide(X_1234,zero))))]]) ).
cnf(refute_0_479,plain,
divide(X_1233,divide(X_1234,zero)) = divide(X_1233,X_1234),
inference(resolve,[$cnf( $equal(divide(X_1233,X_1234),divide(X_1233,divide(X_1234,zero))) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)) = divide(identity,divide(identity,divide(identity,divide(identity,a)))),
inference(subst,[],[refute_0_479:[bind(X_1233,$fot(identity)),bind(X_1234,$fot(divide(identity,divide(identity,divide(identity,a)))))]]) ).
cnf(refute_0_481,plain,
divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))) = divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),
introduced(tautology,[refl,[$fot(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))))]]) ).
cnf(refute_0_482,plain,
( divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))) != divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a)))
| divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)) != divide(identity,divide(identity,divide(identity,divide(identity,a))))
| divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))) = divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a)))) ),[1,0],$fot(divide(identity,divide(identity,divide(identity,divide(identity,a)))))]]) ).
cnf(refute_0_483,plain,
( divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)) != divide(identity,divide(identity,divide(identity,divide(identity,a))))
| divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))) = divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a)))) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))) = divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))),
inference(resolve,[$cnf( $equal(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(identity,divide(identity,divide(identity,divide(identity,a))))) )],[refute_0_480,refute_0_483]) ).
cnf(refute_0_485,plain,
( ~ less_equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero)
| divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))) != divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a)))
| less_equal(divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero) ),[0],$fot(divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))))]]) ).
cnf(refute_0_486,plain,
( ~ less_equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero)
| less_equal(divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a)))) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
less_equal(divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))),zero),
inference(resolve,[$cnf( less_equal(divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),zero)),divide(a,divide(identity,a))),zero) )],[refute_0_470,refute_0_486]) ).
cnf(refute_0_488,plain,
zero = divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))),
inference(resolve,[$cnf( less_equal(divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))),zero) )],[refute_0_487,refute_0_21]) ).
cnf(refute_0_489,plain,
( zero != divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a)))
| divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))) = zero ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a)))))]]) ).
cnf(refute_0_490,plain,
divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))) = zero,
inference(resolve,[$cnf( $equal(zero,divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a)))) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
( divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))) != zero
| zero != zero
| divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_492,plain,
( zero != zero
| divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))),zero) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
( zero != zero
| less_equal(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))),zero) )],[refute_0_492,refute_0_17]) ).
cnf(refute_0_494,plain,
less_equal(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_7,refute_0_493]) ).
cnf(refute_0_495,plain,
( ~ less_equal(divide(a,divide(identity,a)),divide(identity,divide(identity,divide(identity,divide(identity,a)))))
| divide(a,divide(identity,a)) = divide(identity,divide(identity,divide(identity,divide(identity,a)))) ),
inference(resolve,[$cnf( less_equal(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))) )],[refute_0_494,refute_0_16]) ).
cnf(refute_0_496,plain,
( ~ less_equal(divide(a,divide(identity,divide(identity,divide(identity,divide(identity,a))))),divide(identity,a))
| less_equal(divide(a,divide(identity,a)),divide(identity,divide(identity,divide(identity,divide(identity,a))))) ),
inference(subst,[],[property_of_divide1:[bind(X,$fot(a)),bind(Y,$fot(divide(identity,divide(identity,divide(identity,divide(identity,a)))))),bind(Z,$fot(divide(identity,a)))]]) ).
cnf(refute_0_497,plain,
( ~ less_equal(divide(a,divide(identity,a)),divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),zero))
| less_equal(divide(a,divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),zero)),divide(identity,a)) ),
inference(subst,[],[property_of_divide1:[bind(X,$fot(a)),bind(Y,$fot(divide(identity,a))),bind(Z,$fot(divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),zero)))]]) ).
cnf(refute_0_498,plain,
( divide(divide(a,X_1153),divide(divide(identity,X_1153),zero)) != zero
| less_equal(divide(a,X_1153),divide(divide(identity,X_1153),zero)) ),
inference(subst,[],[quotient_less_equal2:[bind(X,$fot(divide(a,X_1153))),bind(Y,$fot(divide(divide(identity,X_1153),zero)))]]) ).
cnf(refute_0_499,plain,
( ~ less_equal(divide(divide(a,X_1152),divide(divide(identity,X_1152),zero)),zero)
| zero = divide(divide(a,X_1152),divide(divide(identity,X_1152),zero)) ),
inference(subst,[],[refute_0_20:[bind(X_318,$fot(divide(divide(a,X_1152),divide(divide(identity,X_1152),zero))))]]) ).
cnf(refute_0_500,plain,
less_equal(divide(divide(a,X_1147),divide(divide(identity,X_1147),zero)),divide(divide(divide(a,X_1147),zero),divide(divide(identity,X_1147),zero))),
inference(subst,[],[refute_0_381:[bind(X_15,$fot(X_1147)),bind(X_267,$fot(divide(divide(identity,X_1147),zero)))]]) ).
cnf(refute_0_501,plain,
divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),divide(divide(X_268,X_269),divide(identity,X_269)))) = zero,
inference(subst,[],[refute_0_117:[bind(X_14,$fot(divide(X_268,X_269))),bind(X_15,$fot(divide(identity,X_269)))]]) ).
cnf(refute_0_502,plain,
( ~ less_equal(divide(X_268,X_269),divide(identity,X_269))
| divide(divide(X_268,X_269),divide(identity,X_269)) = zero ),
inference(subst,[],[quotient_less_equal1:[bind(X,$fot(divide(X_268,X_269))),bind(Y,$fot(divide(identity,X_269)))]]) ).
cnf(refute_0_503,plain,
divide(divide(X_268,X_269),divide(identity,X_269)) = zero,
inference(resolve,[$cnf( less_equal(divide(X_268,X_269),divide(identity,X_269)) )],[refute_0_164,refute_0_502]) ).
cnf(refute_0_504,plain,
( divide(divide(X_268,X_269),divide(identity,X_269)) != zero
| divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),divide(divide(X_268,X_269),divide(identity,X_269)))) != zero
| divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),divide(divide(X_268,X_269),divide(identity,X_269)))),zero) ),[0,1,1],$fot(zero)]]) ).
cnf(refute_0_505,plain,
( divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),divide(divide(X_268,X_269),divide(identity,X_269)))) != zero
| divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(X_268,X_269),divide(identity,X_269)),zero) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero)) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),divide(divide(X_268,X_269),divide(identity,X_269)))),zero) )],[refute_0_501,refute_0_505]) ).
cnf(refute_0_507,plain,
divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))) = divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),
introduced(tautology,[refl,[$fot(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))))]]) ).
cnf(refute_0_508,plain,
( divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))) != divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269)))
| divide(divide(X_268,X_269),divide(identity,X_269)) != zero
| divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))) = divide(divide(X_268,X_269),zero) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_509,plain,
( divide(divide(X_268,X_269),divide(identity,X_269)) != zero
| divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))) = divide(divide(X_268,X_269),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269)))) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))) = divide(divide(X_268,X_269),zero),
inference(resolve,[$cnf( $equal(divide(divide(X_268,X_269),divide(identity,X_269)),zero) )],[refute_0_503,refute_0_509]) ).
cnf(refute_0_511,plain,
divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero)) = divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero)),
introduced(tautology,[refl,[$fot(divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero)))]]) ).
cnf(refute_0_512,plain,
( divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))) != divide(divide(X_268,X_269),zero)
| divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero)) != divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero))
| divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero)) = divide(divide(divide(X_268,X_269),zero),divide(divide(identity,X_269),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero)),divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero))) ),[1,0],$fot(divide(divide(X_268,X_269),zero))]]) ).
cnf(refute_0_513,plain,
( divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))) != divide(divide(X_268,X_269),zero)
| divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero)) = divide(divide(divide(X_268,X_269),zero),divide(divide(identity,X_269),zero)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero)),divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero))) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero)) = divide(divide(divide(X_268,X_269),zero),divide(divide(identity,X_269),zero)),
inference(resolve,[$cnf( $equal(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(X_268,X_269),zero)) )],[refute_0_510,refute_0_513]) ).
cnf(refute_0_515,plain,
( divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero)) != divide(divide(divide(X_268,X_269),zero),divide(divide(identity,X_269),zero))
| divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero)) != zero
| divide(divide(divide(X_268,X_269),zero),divide(divide(identity,X_269),zero)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero)),zero) ),[0],$fot(divide(divide(divide(X_268,X_269),zero),divide(divide(identity,X_269),zero)))]]) ).
cnf(refute_0_516,plain,
( divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero)) != zero
| divide(divide(divide(X_268,X_269),zero),divide(divide(identity,X_269),zero)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero)),divide(divide(divide(X_268,X_269),zero),divide(divide(identity,X_269),zero))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
divide(divide(divide(X_268,X_269),zero),divide(divide(identity,X_269),zero)) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(X_268,X_269),divide(divide(X_268,X_269),divide(identity,X_269))),divide(divide(identity,X_269),zero)),zero) )],[refute_0_506,refute_0_516]) ).
cnf(refute_0_518,plain,
divide(divide(divide(a,X_1147),zero),divide(divide(identity,X_1147),zero)) = zero,
inference(subst,[],[refute_0_517:[bind(X_268,$fot(a)),bind(X_269,$fot(X_1147))]]) ).
cnf(refute_0_519,plain,
( ~ less_equal(divide(divide(a,X_1147),divide(divide(identity,X_1147),zero)),divide(divide(divide(a,X_1147),zero),divide(divide(identity,X_1147),zero)))
| divide(divide(divide(a,X_1147),zero),divide(divide(identity,X_1147),zero)) != zero
| less_equal(divide(divide(a,X_1147),divide(divide(identity,X_1147),zero)),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(a,X_1147),divide(divide(identity,X_1147),zero)),divide(divide(divide(a,X_1147),zero),divide(divide(identity,X_1147),zero))) ),[1],$fot(zero)]]) ).
cnf(refute_0_520,plain,
( ~ less_equal(divide(divide(a,X_1147),divide(divide(identity,X_1147),zero)),divide(divide(divide(a,X_1147),zero),divide(divide(identity,X_1147),zero)))
| less_equal(divide(divide(a,X_1147),divide(divide(identity,X_1147),zero)),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(a,X_1147),zero),divide(divide(identity,X_1147),zero)),zero) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
less_equal(divide(divide(a,X_1147),divide(divide(identity,X_1147),zero)),zero),
inference(resolve,[$cnf( less_equal(divide(divide(a,X_1147),divide(divide(identity,X_1147),zero)),divide(divide(divide(a,X_1147),zero),divide(divide(identity,X_1147),zero))) )],[refute_0_500,refute_0_520]) ).
cnf(refute_0_522,plain,
less_equal(divide(divide(a,X_1152),divide(divide(identity,X_1152),zero)),zero),
inference(subst,[],[refute_0_521:[bind(X_1147,$fot(X_1152))]]) ).
cnf(refute_0_523,plain,
zero = divide(divide(a,X_1152),divide(divide(identity,X_1152),zero)),
inference(resolve,[$cnf( less_equal(divide(divide(a,X_1152),divide(divide(identity,X_1152),zero)),zero) )],[refute_0_522,refute_0_499]) ).
cnf(refute_0_524,plain,
zero = divide(divide(a,X_1153),divide(divide(identity,X_1153),zero)),
inference(subst,[],[refute_0_523:[bind(X_1152,$fot(X_1153))]]) ).
cnf(refute_0_525,plain,
( zero != divide(divide(a,X_1153),divide(divide(identity,X_1153),zero))
| divide(divide(a,X_1153),divide(divide(identity,X_1153),zero)) = zero ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(a,X_1153),divide(divide(identity,X_1153),zero))))]]) ).
cnf(refute_0_526,plain,
divide(divide(a,X_1153),divide(divide(identity,X_1153),zero)) = zero,
inference(resolve,[$cnf( $equal(zero,divide(divide(a,X_1153),divide(divide(identity,X_1153),zero))) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
( divide(divide(a,X_1153),divide(divide(identity,X_1153),zero)) != zero
| zero != zero
| divide(divide(a,X_1153),divide(divide(identity,X_1153),zero)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(a,X_1153),divide(divide(identity,X_1153),zero)),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_528,plain,
( zero != zero
| divide(divide(a,X_1153),divide(divide(identity,X_1153),zero)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(a,X_1153),divide(divide(identity,X_1153),zero)),zero) )],[refute_0_526,refute_0_527]) ).
cnf(refute_0_529,plain,
( zero != zero
| less_equal(divide(a,X_1153),divide(divide(identity,X_1153),zero)) ),
inference(resolve,[$cnf( $equal(divide(divide(a,X_1153),divide(divide(identity,X_1153),zero)),zero) )],[refute_0_528,refute_0_498]) ).
cnf(refute_0_530,plain,
less_equal(divide(a,X_1153),divide(divide(identity,X_1153),zero)),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_7,refute_0_529]) ).
cnf(refute_0_531,plain,
less_equal(divide(a,divide(identity,divide(identity,divide(identity,a)))),divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),zero)),
inference(subst,[],[refute_0_530:[bind(X_1153,$fot(divide(identity,divide(identity,divide(identity,a)))))]]) ).
cnf(refute_0_532,plain,
( ~ less_equal(divide(a,divide(identity,divide(identity,divide(identity,a)))),divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),zero))
| divide(a,divide(identity,divide(identity,divide(identity,a)))) != divide(a,divide(identity,a))
| less_equal(divide(a,divide(identity,a)),divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),zero)) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(a,divide(identity,divide(identity,divide(identity,a)))),divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),zero)) ),[0],$fot(divide(a,divide(identity,a)))]]) ).
cnf(refute_0_533,plain,
( ~ less_equal(divide(a,divide(identity,divide(identity,divide(identity,a)))),divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),zero))
| less_equal(divide(a,divide(identity,a)),divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),zero)) ),
inference(resolve,[$cnf( $equal(divide(a,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))) )],[refute_0_453,refute_0_532]) ).
cnf(refute_0_534,plain,
less_equal(divide(a,divide(identity,a)),divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),zero)),
inference(resolve,[$cnf( less_equal(divide(a,divide(identity,divide(identity,divide(identity,a)))),divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),zero)) )],[refute_0_531,refute_0_533]) ).
cnf(refute_0_535,plain,
less_equal(divide(a,divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),zero)),divide(identity,a)),
inference(resolve,[$cnf( less_equal(divide(a,divide(identity,a)),divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),zero)) )],[refute_0_534,refute_0_497]) ).
cnf(refute_0_536,plain,
divide(a,divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),zero)) = divide(a,divide(identity,divide(identity,divide(identity,divide(identity,a))))),
inference(subst,[],[refute_0_355:[bind(X_349,$fot(divide(identity,divide(identity,divide(identity,divide(identity,a))))))]]) ).
cnf(refute_0_537,plain,
( ~ less_equal(divide(a,divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),zero)),divide(identity,a))
| divide(a,divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),zero)) != divide(a,divide(identity,divide(identity,divide(identity,divide(identity,a)))))
| less_equal(divide(a,divide(identity,divide(identity,divide(identity,divide(identity,a))))),divide(identity,a)) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(a,divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),zero)),divide(identity,a)) ),[0],$fot(divide(a,divide(identity,divide(identity,divide(identity,divide(identity,a))))))]]) ).
cnf(refute_0_538,plain,
( ~ less_equal(divide(a,divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),zero)),divide(identity,a))
| less_equal(divide(a,divide(identity,divide(identity,divide(identity,divide(identity,a))))),divide(identity,a)) ),
inference(resolve,[$cnf( $equal(divide(a,divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),zero)),divide(a,divide(identity,divide(identity,divide(identity,divide(identity,a)))))) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
less_equal(divide(a,divide(identity,divide(identity,divide(identity,divide(identity,a))))),divide(identity,a)),
inference(resolve,[$cnf( less_equal(divide(a,divide(divide(identity,divide(identity,divide(identity,divide(identity,a)))),zero)),divide(identity,a)) )],[refute_0_535,refute_0_538]) ).
cnf(refute_0_540,plain,
less_equal(divide(a,divide(identity,a)),divide(identity,divide(identity,divide(identity,divide(identity,a))))),
inference(resolve,[$cnf( less_equal(divide(a,divide(identity,divide(identity,divide(identity,divide(identity,a))))),divide(identity,a)) )],[refute_0_539,refute_0_496]) ).
cnf(refute_0_541,plain,
divide(a,divide(identity,a)) = divide(identity,divide(identity,divide(identity,divide(identity,a)))),
inference(resolve,[$cnf( less_equal(divide(a,divide(identity,a)),divide(identity,divide(identity,divide(identity,divide(identity,a))))) )],[refute_0_540,refute_0_495]) ).
cnf(refute_0_542,plain,
( divide(a,divide(identity,a)) != divide(identity,divide(identity,divide(identity,divide(identity,a))))
| divide(identity,divide(identity,divide(identity,divide(identity,a)))) = divide(a,divide(identity,a)) ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(divide(a,divide(identity,a)))),bind(Y0,$fot(divide(identity,divide(identity,divide(identity,divide(identity,a))))))]]) ).
cnf(refute_0_543,plain,
divide(identity,divide(identity,divide(identity,divide(identity,a)))) = divide(a,divide(identity,a)),
inference(resolve,[$cnf( $equal(divide(a,divide(identity,a)),divide(identity,divide(identity,divide(identity,divide(identity,a))))) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
( ~ less_equal(divide(identity,divide(identity,a)),divide(identity,divide(identity,divide(identity,divide(identity,a)))))
| divide(identity,divide(identity,divide(identity,divide(identity,a)))) != divide(a,divide(identity,a))
| less_equal(divide(identity,divide(identity,a)),divide(a,divide(identity,a))) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(identity,divide(identity,a)),divide(identity,divide(identity,divide(identity,divide(identity,a))))) ),[1],$fot(divide(a,divide(identity,a)))]]) ).
cnf(refute_0_545,plain,
( ~ less_equal(divide(identity,divide(identity,a)),divide(identity,divide(identity,divide(identity,divide(identity,a)))))
| less_equal(divide(identity,divide(identity,a)),divide(a,divide(identity,a))) ),
inference(resolve,[$cnf( $equal(divide(identity,divide(identity,divide(identity,divide(identity,a)))),divide(a,divide(identity,a))) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
less_equal(divide(identity,divide(identity,a)),divide(a,divide(identity,a))),
inference(resolve,[$cnf( less_equal(divide(identity,divide(identity,a)),divide(identity,divide(identity,divide(identity,divide(identity,a))))) )],[refute_0_15,refute_0_545]) ).
cnf(refute_0_547,plain,
less_equal(divide(identity,divide(a,divide(identity,a))),divide(identity,a)),
inference(resolve,[$cnf( less_equal(divide(identity,divide(identity,a)),divide(a,divide(identity,a))) )],[refute_0_546,refute_0_1]) ).
cnf(refute_0_548,plain,
( ~ less_equal(divide(identity,a),divide(identity,divide(a,divide(identity,a))))
| divide(identity,a) = divide(identity,divide(a,divide(identity,a))) ),
inference(resolve,[$cnf( less_equal(divide(identity,divide(a,divide(identity,a))),divide(identity,a)) )],[refute_0_547,refute_0_0]) ).
cnf(refute_0_549,plain,
less_equal(divide(identity,a),divide(identity,divide(a,divide(identity,a)))),
inference(subst,[],[refute_0_97:[bind(Y,$fot(divide(identity,a))),bind(X_110,$fot(a)),bind(X_111,$fot(identity))]]) ).
cnf(refute_0_550,plain,
divide(identity,a) = divide(identity,divide(a,divide(identity,a))),
inference(resolve,[$cnf( less_equal(divide(identity,a),divide(identity,divide(a,divide(identity,a)))) )],[refute_0_549,refute_0_548]) ).
cnf(refute_0_551,plain,
( ~ less_equal(divide(a,divide(identity,a)),divide(identity,divide(identity,a)))
| ~ less_equal(divide(identity,divide(identity,a)),divide(a,divide(identity,a)))
| divide(a,divide(identity,a)) = divide(identity,divide(identity,a)) ),
inference(subst,[],[less_equal_and_equal:[bind(X,$fot(divide(a,divide(identity,a)))),bind(Y,$fot(divide(identity,divide(identity,a))))]]) ).
cnf(refute_0_552,plain,
( ~ less_equal(divide(a,divide(identity,a)),divide(identity,divide(identity,a)))
| divide(a,divide(identity,a)) = divide(identity,divide(identity,a)) ),
inference(resolve,[$cnf( less_equal(divide(identity,divide(identity,a)),divide(a,divide(identity,a))) )],[refute_0_546,refute_0_551]) ).
cnf(refute_0_553,plain,
less_equal(divide(a,divide(identity,a)),divide(identity,divide(identity,a))),
inference(subst,[],[refute_0_163:[bind(X_265,$fot(a)),bind(X_267,$fot(divide(identity,a)))]]) ).
cnf(refute_0_554,plain,
divide(a,divide(identity,a)) = divide(identity,divide(identity,a)),
inference(resolve,[$cnf( less_equal(divide(a,divide(identity,a)),divide(identity,divide(identity,a))) )],[refute_0_553,refute_0_552]) ).
cnf(refute_0_555,plain,
( divide(a,divide(identity,a)) != divide(identity,divide(identity,a))
| divide(identity,divide(identity,a)) = divide(a,divide(identity,a)) ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(divide(a,divide(identity,a)))),bind(Y0,$fot(divide(identity,divide(identity,a))))]]) ).
cnf(refute_0_556,plain,
divide(identity,divide(identity,a)) = divide(a,divide(identity,a)),
inference(resolve,[$cnf( $equal(divide(a,divide(identity,a)),divide(identity,divide(identity,a))) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
divide(identity,divide(identity,divide(identity,a))) = divide(identity,divide(identity,divide(identity,a))),
introduced(tautology,[refl,[$fot(divide(identity,divide(identity,divide(identity,a))))]]) ).
cnf(refute_0_558,plain,
( divide(identity,divide(identity,divide(identity,a))) != divide(identity,divide(identity,divide(identity,a)))
| divide(identity,divide(identity,a)) != divide(a,divide(identity,a))
| divide(identity,divide(identity,divide(identity,a))) = divide(identity,divide(a,divide(identity,a))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(identity,divide(identity,divide(identity,a))),divide(identity,divide(identity,divide(identity,a)))) ),[1,1],$fot(divide(a,divide(identity,a)))]]) ).
cnf(refute_0_559,plain,
( divide(identity,divide(identity,a)) != divide(a,divide(identity,a))
| divide(identity,divide(identity,divide(identity,a))) = divide(identity,divide(a,divide(identity,a))) ),
inference(resolve,[$cnf( $equal(divide(identity,divide(identity,divide(identity,a))),divide(identity,divide(identity,divide(identity,a)))) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
divide(identity,divide(identity,divide(identity,a))) = divide(identity,divide(a,divide(identity,a))),
inference(resolve,[$cnf( $equal(divide(identity,divide(identity,a)),divide(a,divide(identity,a))) )],[refute_0_556,refute_0_559]) ).
cnf(refute_0_561,plain,
( divide(identity,divide(identity,divide(identity,a))) != divide(identity,divide(a,divide(identity,a)))
| divide(identity,a) != divide(identity,divide(a,divide(identity,a)))
| divide(identity,a) = divide(identity,divide(identity,divide(identity,a))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))) ),[1],$fot(divide(identity,divide(a,divide(identity,a))))]]) ).
cnf(refute_0_562,plain,
( divide(identity,a) != divide(identity,divide(a,divide(identity,a)))
| divide(identity,a) = divide(identity,divide(identity,divide(identity,a))) ),
inference(resolve,[$cnf( $equal(divide(identity,divide(identity,divide(identity,a))),divide(identity,divide(a,divide(identity,a)))) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
divide(identity,a) != divide(identity,divide(a,divide(identity,a))),
inference(resolve,[$cnf( $equal(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))) )],[refute_0_562,prove_this]) ).
cnf(refute_0_564,plain,
$false,
inference(resolve,[$cnf( $equal(divide(identity,a),divide(identity,divide(a,divide(identity,a)))) )],[refute_0_550,refute_0_563]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : HEN009-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n028.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 14:06:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 89.22/89.44 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 89.22/89.44
% 89.22/89.44 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 89.35/89.50
%------------------------------------------------------------------------------