TSTP Solution File: HEN010-3 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : HEN010-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 12:58:45 EDT 2022
% Result : Unsatisfiable 0.59s 0.79s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 81
% Number of leaves : 57
% Syntax : Number of clauses : 326 ( 167 unt; 0 nHn; 153 RR)
% Number of literals : 540 ( 333 equ; 217 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 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 : 529 ( 72 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(prove_property_of_inversion,negated_conjecture,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))) ).
cnf(refute_0_0,plain,
( divide(divide(X_94,divide(identity,X_95)),divide(X_95,divide(identity,X_95))) != zero
| less_equal(divide(X_94,divide(identity,X_95)),divide(X_95,divide(identity,X_95))) ),
inference(subst,[],[quotient_less_equal2:[bind(X,$fot(divide(X_94,divide(identity,X_95)))),bind(Y,$fot(divide(X_95,divide(identity,X_95))))]]) ).
cnf(refute_0_1,plain,
less_equal(zero,X_30),
inference(subst,[],[zero_is_smallest:[bind(X,$fot(X_30))]]) ).
cnf(refute_0_2,plain,
( ~ less_equal(X_30,zero)
| ~ less_equal(zero,X_30)
| zero = X_30 ),
inference(subst,[],[less_equal_and_equal:[bind(X,$fot(zero)),bind(Y,$fot(X_30))]]) ).
cnf(refute_0_3,plain,
( ~ less_equal(X_30,zero)
| zero = X_30 ),
inference(resolve,[$cnf( less_equal(zero,X_30) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ less_equal(divide(divide(X_92,divide(identity,X_93)),divide(X_93,divide(identity,X_93))),zero)
| zero = divide(divide(X_92,divide(identity,X_93)),divide(X_93,divide(identity,X_93))) ),
inference(subst,[],[refute_0_3:[bind(X_30,$fot(divide(divide(X_92,divide(identity,X_93)),divide(X_93,divide(identity,X_93)))))]]) ).
cnf(refute_0_5,plain,
less_equal(divide(divide(X,divide(identity,Y)),divide(Y,divide(identity,Y))),divide(divide(X,Y),divide(identity,Y))),
inference(subst,[],[quotient_property:[bind(Z,$fot(divide(identity,Y)))]]) ).
cnf(refute_0_6,plain,
less_equal(divide(divide(X_12,X_14),divide(identity,X_14)),divide(divide(X_12,identity),X_14)),
inference(subst,[],[quotient_property:[bind(X,$fot(X_12)),bind(Y,$fot(identity)),bind(Z,$fot(X_14))]]) ).
cnf(refute_0_7,plain,
less_equal(X_4,identity),
inference(subst,[],[identity_is_largest:[bind(X,$fot(X_4))]]) ).
cnf(refute_0_8,plain,
( ~ less_equal(X_4,identity)
| divide(X_4,identity) = zero ),
inference(subst,[],[quotient_less_equal1:[bind(X,$fot(X_4)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_9,plain,
divide(X_4,identity) = zero,
inference(resolve,[$cnf( less_equal(X_4,identity) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
divide(X_12,identity) = zero,
inference(subst,[],[refute_0_9:[bind(X_4,$fot(X_12))]]) ).
cnf(refute_0_11,plain,
( ~ less_equal(divide(divide(X_12,X_14),divide(identity,X_14)),divide(divide(X_12,identity),X_14))
| divide(X_12,identity) != zero
| less_equal(divide(divide(X_12,X_14),divide(identity,X_14)),divide(zero,X_14)) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(X_12,X_14),divide(identity,X_14)),divide(divide(X_12,identity),X_14)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_12,plain,
( ~ less_equal(divide(divide(X_12,X_14),divide(identity,X_14)),divide(divide(X_12,identity),X_14))
| less_equal(divide(divide(X_12,X_14),divide(identity,X_14)),divide(zero,X_14)) ),
inference(resolve,[$cnf( $equal(divide(X_12,identity),zero) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
less_equal(divide(divide(X_12,X_14),divide(identity,X_14)),divide(zero,X_14)),
inference(resolve,[$cnf( less_equal(divide(divide(X_12,X_14),divide(identity,X_14)),divide(divide(X_12,identity),X_14)) )],[refute_0_6,refute_0_12]) ).
cnf(refute_0_14,plain,
less_equal(zero,X_5),
inference(subst,[],[zero_is_smallest:[bind(X,$fot(X_5))]]) ).
cnf(refute_0_15,plain,
( ~ less_equal(zero,X_5)
| divide(zero,X_5) = zero ),
inference(subst,[],[quotient_less_equal1:[bind(X,$fot(zero)),bind(Y,$fot(X_5))]]) ).
cnf(refute_0_16,plain,
divide(zero,X_5) = zero,
inference(resolve,[$cnf( less_equal(zero,X_5) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
divide(zero,X_14) = zero,
inference(subst,[],[refute_0_16:[bind(X_5,$fot(X_14))]]) ).
cnf(refute_0_18,plain,
( ~ less_equal(divide(divide(X_12,X_14),divide(identity,X_14)),divide(zero,X_14))
| divide(zero,X_14) != zero
| less_equal(divide(divide(X_12,X_14),divide(identity,X_14)),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(X_12,X_14),divide(identity,X_14)),divide(zero,X_14)) ),[1],$fot(zero)]]) ).
cnf(refute_0_19,plain,
( ~ less_equal(divide(divide(X_12,X_14),divide(identity,X_14)),divide(zero,X_14))
| less_equal(divide(divide(X_12,X_14),divide(identity,X_14)),zero) ),
inference(resolve,[$cnf( $equal(divide(zero,X_14),zero) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
less_equal(divide(divide(X_12,X_14),divide(identity,X_14)),zero),
inference(resolve,[$cnf( less_equal(divide(divide(X_12,X_14),divide(identity,X_14)),divide(zero,X_14)) )],[refute_0_13,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ less_equal(divide(divide(X_12,X_14),divide(identity,X_14)),zero)
| ~ less_equal(zero,divide(divide(X_12,X_14),divide(identity,X_14)))
| divide(divide(X_12,X_14),divide(identity,X_14)) = zero ),
inference(subst,[],[less_equal_and_equal:[bind(X,$fot(divide(divide(X_12,X_14),divide(identity,X_14)))),bind(Y,$fot(zero))]]) ).
cnf(refute_0_22,plain,
( ~ less_equal(zero,divide(divide(X_12,X_14),divide(identity,X_14)))
| divide(divide(X_12,X_14),divide(identity,X_14)) = zero ),
inference(resolve,[$cnf( less_equal(divide(divide(X_12,X_14),divide(identity,X_14)),zero) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
less_equal(zero,divide(divide(X_12,X_14),divide(identity,X_14))),
inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(divide(X_12,X_14),divide(identity,X_14))))]]) ).
cnf(refute_0_24,plain,
divide(divide(X_12,X_14),divide(identity,X_14)) = zero,
inference(resolve,[$cnf( less_equal(zero,divide(divide(X_12,X_14),divide(identity,X_14))) )],[refute_0_23,refute_0_22]) ).
cnf(refute_0_25,plain,
divide(divide(X,Y),divide(identity,Y)) = zero,
inference(subst,[],[refute_0_24:[bind(X_12,$fot(X)),bind(X_14,$fot(Y))]]) ).
cnf(refute_0_26,plain,
( ~ less_equal(divide(divide(X,divide(identity,Y)),divide(Y,divide(identity,Y))),divide(divide(X,Y),divide(identity,Y)))
| divide(divide(X,Y),divide(identity,Y)) != zero
| less_equal(divide(divide(X,divide(identity,Y)),divide(Y,divide(identity,Y))),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(X,divide(identity,Y)),divide(Y,divide(identity,Y))),divide(divide(X,Y),divide(identity,Y))) ),[1],$fot(zero)]]) ).
cnf(refute_0_27,plain,
( ~ less_equal(divide(divide(X,divide(identity,Y)),divide(Y,divide(identity,Y))),divide(divide(X,Y),divide(identity,Y)))
| less_equal(divide(divide(X,divide(identity,Y)),divide(Y,divide(identity,Y))),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(X,Y),divide(identity,Y)),zero) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
less_equal(divide(divide(X,divide(identity,Y)),divide(Y,divide(identity,Y))),zero),
inference(resolve,[$cnf( less_equal(divide(divide(X,divide(identity,Y)),divide(Y,divide(identity,Y))),divide(divide(X,Y),divide(identity,Y))) )],[refute_0_5,refute_0_27]) ).
cnf(refute_0_29,plain,
less_equal(divide(divide(X_92,divide(identity,X_93)),divide(X_93,divide(identity,X_93))),zero),
inference(subst,[],[refute_0_28:[bind(X,$fot(X_92)),bind(Y,$fot(X_93))]]) ).
cnf(refute_0_30,plain,
zero = divide(divide(X_92,divide(identity,X_93)),divide(X_93,divide(identity,X_93))),
inference(resolve,[$cnf( less_equal(divide(divide(X_92,divide(identity,X_93)),divide(X_93,divide(identity,X_93))),zero) )],[refute_0_29,refute_0_4]) ).
cnf(refute_0_31,plain,
zero = divide(divide(X_94,divide(identity,X_95)),divide(X_95,divide(identity,X_95))),
inference(subst,[],[refute_0_30:[bind(X_92,$fot(X_94)),bind(X_93,$fot(X_95))]]) ).
cnf(refute_0_32,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_33,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_34,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( zero != divide(divide(X_94,divide(identity,X_95)),divide(X_95,divide(identity,X_95)))
| divide(divide(X_94,divide(identity,X_95)),divide(X_95,divide(identity,X_95))) = zero ),
inference(subst,[],[refute_0_34:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(X_94,divide(identity,X_95)),divide(X_95,divide(identity,X_95)))))]]) ).
cnf(refute_0_36,plain,
divide(divide(X_94,divide(identity,X_95)),divide(X_95,divide(identity,X_95))) = zero,
inference(resolve,[$cnf( $equal(zero,divide(divide(X_94,divide(identity,X_95)),divide(X_95,divide(identity,X_95)))) )],[refute_0_31,refute_0_35]) ).
cnf(refute_0_37,plain,
( divide(divide(X_94,divide(identity,X_95)),divide(X_95,divide(identity,X_95))) != zero
| zero != zero
| divide(divide(X_94,divide(identity,X_95)),divide(X_95,divide(identity,X_95))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(X_94,divide(identity,X_95)),divide(X_95,divide(identity,X_95))),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_38,plain,
( zero != zero
| divide(divide(X_94,divide(identity,X_95)),divide(X_95,divide(identity,X_95))) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(X_94,divide(identity,X_95)),divide(X_95,divide(identity,X_95))),zero) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
( zero != zero
| less_equal(divide(X_94,divide(identity,X_95)),divide(X_95,divide(identity,X_95))) ),
inference(resolve,[$cnf( $equal(divide(divide(X_94,divide(identity,X_95)),divide(X_95,divide(identity,X_95))),zero) )],[refute_0_38,refute_0_0]) ).
cnf(refute_0_40,plain,
zero = zero,
introduced(tautology,[refl,[$fot(zero)]]) ).
cnf(refute_0_41,plain,
less_equal(divide(X_94,divide(identity,X_95)),divide(X_95,divide(identity,X_95))),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_40,refute_0_39]) ).
cnf(refute_0_42,plain,
less_equal(divide(identity,divide(identity,X_277)),divide(X_277,divide(identity,X_277))),
inference(subst,[],[refute_0_41:[bind(X_94,$fot(identity)),bind(X_95,$fot(X_277))]]) ).
cnf(refute_0_43,plain,
( ~ less_equal(divide(X_44,X_45),divide(identity,X_45))
| ~ less_equal(divide(identity,X_45),divide(X_44,X_45))
| divide(identity,X_45) = divide(X_44,X_45) ),
inference(subst,[],[less_equal_and_equal:[bind(X,$fot(divide(identity,X_45))),bind(Y,$fot(divide(X_44,X_45)))]]) ).
cnf(refute_0_44,plain,
( divide(divide(X_37,X_38),divide(identity,X_38)) != zero
| less_equal(divide(X_37,X_38),divide(identity,X_38)) ),
inference(subst,[],[quotient_less_equal2:[bind(X,$fot(divide(X_37,X_38))),bind(Y,$fot(divide(identity,X_38)))]]) ).
cnf(refute_0_45,plain,
divide(divide(X_37,X_38),divide(identity,X_38)) = zero,
inference(subst,[],[refute_0_24:[bind(X_12,$fot(X_37)),bind(X_14,$fot(X_38))]]) ).
cnf(refute_0_46,plain,
( divide(divide(X_37,X_38),divide(identity,X_38)) != zero
| zero != zero
| divide(divide(X_37,X_38),divide(identity,X_38)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(X_37,X_38),divide(identity,X_38)),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_47,plain,
( zero != zero
| divide(divide(X_37,X_38),divide(identity,X_38)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(X_37,X_38),divide(identity,X_38)),zero) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( zero != zero
| less_equal(divide(X_37,X_38),divide(identity,X_38)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_37,X_38),divide(identity,X_38)),zero) )],[refute_0_47,refute_0_44]) ).
cnf(refute_0_49,plain,
less_equal(divide(X_37,X_38),divide(identity,X_38)),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_40,refute_0_48]) ).
cnf(refute_0_50,plain,
less_equal(divide(X_44,X_45),divide(identity,X_45)),
inference(subst,[],[refute_0_49:[bind(X_37,$fot(X_44)),bind(X_38,$fot(X_45))]]) ).
cnf(refute_0_51,plain,
( ~ less_equal(divide(identity,X_45),divide(X_44,X_45))
| divide(identity,X_45) = divide(X_44,X_45) ),
inference(resolve,[$cnf( less_equal(divide(X_44,X_45),divide(identity,X_45)) )],[refute_0_50,refute_0_43]) ).
cnf(refute_0_52,plain,
( ~ less_equal(divide(identity,divide(identity,X_277)),divide(X_277,divide(identity,X_277)))
| divide(identity,divide(identity,X_277)) = divide(X_277,divide(identity,X_277)) ),
inference(subst,[],[refute_0_51:[bind(X_44,$fot(X_277)),bind(X_45,$fot(divide(identity,X_277)))]]) ).
cnf(refute_0_53,plain,
divide(identity,divide(identity,X_277)) = divide(X_277,divide(identity,X_277)),
inference(resolve,[$cnf( less_equal(divide(identity,divide(identity,X_277)),divide(X_277,divide(identity,X_277))) )],[refute_0_42,refute_0_52]) ).
cnf(refute_0_54,plain,
divide(identity,divide(identity,a)) = divide(a,divide(identity,a)),
inference(subst,[],[refute_0_53:[bind(X_277,$fot(a))]]) ).
cnf(refute_0_55,plain,
divide(identity,divide(identity,divide(identity,a))) = divide(identity,divide(identity,divide(identity,a))),
introduced(tautology,[refl,[$fot(divide(identity,divide(identity,divide(identity,a))))]]) ).
cnf(refute_0_56,plain,
( divide(identity,divide(identity,divide(identity,a))) != divide(identity,divide(identity,divide(identity,a)))
| divide(identity,divide(identity,a)) != divide(a,divide(identity,a))
| divide(identity,divide(identity,divide(identity,a))) = divide(identity,divide(a,divide(identity,a))) ),
introduced(tautology,[equality,[$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_57,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( $equal(divide(identity,divide(identity,divide(identity,a))),divide(identity,divide(identity,divide(identity,a)))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
divide(identity,divide(identity,divide(identity,a))) = divide(identity,divide(a,divide(identity,a))),
inference(resolve,[$cnf( $equal(divide(identity,divide(identity,a)),divide(a,divide(identity,a))) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
( divide(identity,divide(identity,X_277)) != divide(X_277,divide(identity,X_277))
| divide(X_277,divide(identity,X_277)) = divide(identity,divide(identity,X_277)) ),
inference(subst,[],[refute_0_34:[bind(X0,$fot(divide(identity,divide(identity,X_277)))),bind(Y0,$fot(divide(X_277,divide(identity,X_277))))]]) ).
cnf(refute_0_60,plain,
divide(X_277,divide(identity,X_277)) = divide(identity,divide(identity,X_277)),
inference(resolve,[$cnf( $equal(divide(identity,divide(identity,X_277)),divide(X_277,divide(identity,X_277))) )],[refute_0_53,refute_0_59]) ).
cnf(refute_0_61,plain,
divide(divide(identity,a),divide(identity,divide(identity,a))) = divide(identity,divide(identity,divide(identity,a))),
inference(subst,[],[refute_0_60:[bind(X_277,$fot(divide(identity,a)))]]) ).
cnf(refute_0_62,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_63,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_34,refute_0_62]) ).
cnf(refute_0_64,plain,
( divide(divide(identity,a),divide(identity,divide(identity,a))) != divide(identity,divide(identity,divide(identity,a)))
| divide(identity,divide(identity,divide(identity,a))) != divide(identity,divide(a,divide(identity,a)))
| divide(divide(identity,a),divide(identity,divide(identity,a))) = divide(identity,divide(a,divide(identity,a))) ),
inference(subst,[],[refute_0_63:[bind(X0,$fot(divide(divide(identity,a),divide(identity,divide(identity,a))))),bind(Y0,$fot(divide(identity,divide(identity,divide(identity,a))))),bind(Z0,$fot(divide(identity,divide(a,divide(identity,a)))))]]) ).
cnf(refute_0_65,plain,
( divide(identity,divide(identity,divide(identity,a))) != divide(identity,divide(a,divide(identity,a)))
| divide(divide(identity,a),divide(identity,divide(identity,a))) = divide(identity,divide(a,divide(identity,a))) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,a),divide(identity,divide(identity,a))),divide(identity,divide(identity,divide(identity,a)))) )],[refute_0_61,refute_0_64]) ).
cnf(refute_0_66,plain,
divide(divide(identity,a),divide(identity,divide(identity,a))) = divide(identity,divide(a,divide(identity,a))),
inference(resolve,[$cnf( $equal(divide(identity,divide(identity,divide(identity,a))),divide(identity,divide(a,divide(identity,a)))) )],[refute_0_58,refute_0_65]) ).
cnf(refute_0_67,plain,
( divide(divide(identity,a),divide(identity,divide(identity,a))) != divide(identity,divide(a,divide(identity,a)))
| divide(identity,a) != divide(identity,divide(a,divide(identity,a)))
| divide(identity,a) = divide(divide(identity,a),divide(identity,divide(identity,a))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a)))) ),[1],$fot(divide(identity,divide(a,divide(identity,a))))]]) ).
cnf(refute_0_68,plain,
( divide(identity,a) != divide(identity,divide(a,divide(identity,a)))
| divide(identity,a) = divide(divide(identity,a),divide(identity,divide(identity,a))) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,a),divide(identity,divide(identity,a))),divide(identity,divide(a,divide(identity,a)))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
divide(identity,a) != divide(identity,divide(a,divide(identity,a))),
inference(resolve,[$cnf( $equal(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a)))) )],[refute_0_68,prove_property_of_inversion]) ).
cnf(refute_0_70,plain,
divide(identity,divide(identity,divide(identity,X_279))) = divide(divide(identity,X_279),divide(identity,divide(identity,X_279))),
inference(subst,[],[refute_0_53:[bind(X_277,$fot(divide(identity,X_279)))]]) ).
cnf(refute_0_71,plain,
divide(identity,divide(identity,X_279)) = divide(X_279,divide(identity,X_279)),
inference(subst,[],[refute_0_53:[bind(X_277,$fot(X_279))]]) ).
cnf(refute_0_72,plain,
( divide(identity,divide(identity,X_279)) != divide(X_279,divide(identity,X_279))
| divide(identity,divide(identity,divide(identity,X_279))) != divide(divide(identity,X_279),divide(identity,divide(identity,X_279)))
| divide(identity,divide(X_279,divide(identity,X_279))) = divide(divide(identity,X_279),divide(identity,divide(identity,X_279))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(identity,divide(identity,divide(identity,X_279))),divide(divide(identity,X_279),divide(identity,divide(identity,X_279)))) ),[0,1],$fot(divide(X_279,divide(identity,X_279)))]]) ).
cnf(refute_0_73,plain,
( divide(identity,divide(identity,divide(identity,X_279))) != divide(divide(identity,X_279),divide(identity,divide(identity,X_279)))
| divide(identity,divide(X_279,divide(identity,X_279))) = divide(divide(identity,X_279),divide(identity,divide(identity,X_279))) ),
inference(resolve,[$cnf( $equal(divide(identity,divide(identity,X_279)),divide(X_279,divide(identity,X_279))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
divide(identity,divide(X_279,divide(identity,X_279))) = divide(divide(identity,X_279),divide(identity,divide(identity,X_279))),
inference(resolve,[$cnf( $equal(divide(identity,divide(identity,divide(identity,X_279))),divide(divide(identity,X_279),divide(identity,divide(identity,X_279)))) )],[refute_0_70,refute_0_73]) ).
cnf(refute_0_75,plain,
( divide(identity,divide(identity,X_279)) != divide(X_279,divide(identity,X_279))
| divide(identity,divide(identity,divide(identity,X_279))) != divide(divide(identity,X_279),divide(identity,divide(identity,X_279)))
| divide(identity,divide(identity,divide(identity,X_279))) = divide(divide(identity,X_279),divide(X_279,divide(identity,X_279))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(identity,divide(identity,divide(identity,X_279))),divide(divide(identity,X_279),divide(identity,divide(identity,X_279)))) ),[1,1],$fot(divide(X_279,divide(identity,X_279)))]]) ).
cnf(refute_0_76,plain,
( divide(identity,divide(identity,divide(identity,X_279))) != divide(divide(identity,X_279),divide(identity,divide(identity,X_279)))
| divide(identity,divide(identity,divide(identity,X_279))) = divide(divide(identity,X_279),divide(X_279,divide(identity,X_279))) ),
inference(resolve,[$cnf( $equal(divide(identity,divide(identity,X_279)),divide(X_279,divide(identity,X_279))) )],[refute_0_71,refute_0_75]) ).
cnf(refute_0_77,plain,
divide(identity,divide(identity,divide(identity,X_279))) = divide(divide(identity,X_279),divide(X_279,divide(identity,X_279))),
inference(resolve,[$cnf( $equal(divide(identity,divide(identity,divide(identity,X_279))),divide(divide(identity,X_279),divide(identity,divide(identity,X_279)))) )],[refute_0_70,refute_0_76]) ).
cnf(refute_0_78,plain,
less_equal(divide(X_30,Y),X_30),
inference(subst,[],[quotient_smaller_than_numerator:[bind(X,$fot(X_30))]]) ).
cnf(refute_0_79,plain,
( ~ less_equal(X_30,divide(X_30,Y))
| ~ less_equal(divide(X_30,Y),X_30)
| divide(X_30,Y) = X_30 ),
inference(subst,[],[less_equal_and_equal:[bind(X,$fot(divide(X_30,Y))),bind(Y,$fot(X_30))]]) ).
cnf(refute_0_80,plain,
( ~ less_equal(X_30,divide(X_30,Y))
| divide(X_30,Y) = X_30 ),
inference(resolve,[$cnf( less_equal(divide(X_30,Y),X_30) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
( ~ less_equal(divide(X_169,X_171),divide(divide(X_169,X_171),divide(X_171,X_170)))
| divide(divide(X_169,X_171),divide(X_171,X_170)) = divide(X_169,X_171) ),
inference(subst,[],[refute_0_80:[bind(Y,$fot(divide(X_171,X_170))),bind(X_30,$fot(divide(X_169,X_171)))]]) ).
cnf(refute_0_82,plain,
( divide(divide(X_154,X_155),divide(X_154,divide(X_155,X_153))) != zero
| less_equal(divide(X_154,X_155),divide(X_154,divide(X_155,X_153))) ),
inference(subst,[],[quotient_less_equal2:[bind(X,$fot(divide(X_154,X_155))),bind(Y,$fot(divide(X_154,divide(X_155,X_153))))]]) ).
cnf(refute_0_83,plain,
( ~ less_equal(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69))
| divide(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69)) = zero ),
inference(subst,[],[quotient_less_equal1:[bind(X,$fot(divide(divide(X_68,X_69),zero))),bind(Y,$fot(divide(divide(X_68,divide(X_69,X_67)),X_69)))]]) ).
cnf(refute_0_84,plain,
less_equal(divide(divide(X_12,X_14),divide(divide(X_14,Y),X_14)),divide(divide(X_12,divide(X_14,Y)),X_14)),
inference(subst,[],[quotient_property:[bind(X,$fot(X_12)),bind(Y,$fot(divide(X_14,Y))),bind(Z,$fot(X_14))]]) ).
cnf(refute_0_85,plain,
less_equal(divide(X_5,Y),X_5),
inference(subst,[],[quotient_smaller_than_numerator:[bind(X,$fot(X_5))]]) ).
cnf(refute_0_86,plain,
( ~ less_equal(divide(X_5,Y),X_5)
| divide(divide(X_5,Y),X_5) = zero ),
inference(subst,[],[quotient_less_equal1:[bind(X,$fot(divide(X_5,Y))),bind(Y,$fot(X_5))]]) ).
cnf(refute_0_87,plain,
divide(divide(X_5,Y),X_5) = zero,
inference(resolve,[$cnf( less_equal(divide(X_5,Y),X_5) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
divide(divide(X_14,Y),X_14) = zero,
inference(subst,[],[refute_0_87:[bind(X_5,$fot(X_14))]]) ).
cnf(refute_0_89,plain,
( ~ less_equal(divide(divide(X_12,X_14),divide(divide(X_14,Y),X_14)),divide(divide(X_12,divide(X_14,Y)),X_14))
| divide(divide(X_14,Y),X_14) != zero
| less_equal(divide(divide(X_12,X_14),zero),divide(divide(X_12,divide(X_14,Y)),X_14)) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(X_12,X_14),divide(divide(X_14,Y),X_14)),divide(divide(X_12,divide(X_14,Y)),X_14)) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_90,plain,
( ~ less_equal(divide(divide(X_12,X_14),divide(divide(X_14,Y),X_14)),divide(divide(X_12,divide(X_14,Y)),X_14))
| less_equal(divide(divide(X_12,X_14),zero),divide(divide(X_12,divide(X_14,Y)),X_14)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_14,Y),X_14),zero) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
less_equal(divide(divide(X_12,X_14),zero),divide(divide(X_12,divide(X_14,Y)),X_14)),
inference(resolve,[$cnf( less_equal(divide(divide(X_12,X_14),divide(divide(X_14,Y),X_14)),divide(divide(X_12,divide(X_14,Y)),X_14)) )],[refute_0_84,refute_0_90]) ).
cnf(refute_0_92,plain,
less_equal(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69)),
inference(subst,[],[refute_0_91:[bind(Y,$fot(X_67)),bind(X_12,$fot(X_68)),bind(X_14,$fot(X_69))]]) ).
cnf(refute_0_93,plain,
divide(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69)) = zero,
inference(resolve,[$cnf( less_equal(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69)) )],[refute_0_92,refute_0_83]) ).
cnf(refute_0_94,plain,
( divide(X,divide(X,zero)) != zero
| less_equal(X,divide(X,zero)) ),
inference(subst,[],[quotient_less_equal2:[bind(Y,$fot(divide(X,zero)))]]) ).
cnf(refute_0_95,plain,
( ~ less_equal(divide(X_48,divide(X_48,zero)),zero)
| zero = divide(X_48,divide(X_48,zero)) ),
inference(subst,[],[refute_0_3:[bind(X_30,$fot(divide(X_48,divide(X_48,zero))))]]) ).
cnf(refute_0_96,plain,
( divide(divide(X_47,divide(X_47,zero)),zero) != zero
| less_equal(divide(X_47,divide(X_47,zero)),zero) ),
inference(subst,[],[quotient_less_equal2:[bind(X,$fot(divide(X_47,divide(X_47,zero)))),bind(Y,$fot(zero))]]) ).
cnf(refute_0_97,plain,
( ~ less_equal(divide(divide(X_46,divide(X_46,zero)),zero),zero)
| zero = divide(divide(X_46,divide(X_46,zero)),zero) ),
inference(subst,[],[refute_0_3:[bind(X_30,$fot(divide(divide(X_46,divide(X_46,zero)),zero)))]]) ).
cnf(refute_0_98,plain,
less_equal(divide(divide(X_12,X_14),divide(zero,X_14)),divide(divide(X_12,zero),X_14)),
inference(subst,[],[quotient_property:[bind(X,$fot(X_12)),bind(Y,$fot(zero)),bind(Z,$fot(X_14))]]) ).
cnf(refute_0_99,plain,
( ~ less_equal(divide(divide(X_12,X_14),divide(zero,X_14)),divide(divide(X_12,zero),X_14))
| divide(zero,X_14) != zero
| less_equal(divide(divide(X_12,X_14),zero),divide(divide(X_12,zero),X_14)) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(X_12,X_14),divide(zero,X_14)),divide(divide(X_12,zero),X_14)) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_100,plain,
( ~ less_equal(divide(divide(X_12,X_14),divide(zero,X_14)),divide(divide(X_12,zero),X_14))
| less_equal(divide(divide(X_12,X_14),zero),divide(divide(X_12,zero),X_14)) ),
inference(resolve,[$cnf( $equal(divide(zero,X_14),zero) )],[refute_0_17,refute_0_99]) ).
cnf(refute_0_101,plain,
less_equal(divide(divide(X_12,X_14),zero),divide(divide(X_12,zero),X_14)),
inference(resolve,[$cnf( less_equal(divide(divide(X_12,X_14),divide(zero,X_14)),divide(divide(X_12,zero),X_14)) )],[refute_0_98,refute_0_100]) ).
cnf(refute_0_102,plain,
less_equal(divide(divide(X_12,divide(X_12,zero)),zero),divide(divide(X_12,zero),divide(X_12,zero))),
inference(subst,[],[refute_0_101:[bind(X_14,$fot(divide(X_12,zero)))]]) ).
cnf(refute_0_103,plain,
( ~ less_equal(divide(X_32,X_32),zero)
| ~ less_equal(zero,divide(X_32,X_32))
| zero = divide(X_32,X_32) ),
inference(subst,[],[less_equal_and_equal:[bind(X,$fot(zero)),bind(Y,$fot(divide(X_32,X_32)))]]) ).
cnf(refute_0_104,plain,
( divide(divide(X_31,X_31),zero) != zero
| less_equal(divide(X_31,X_31),zero) ),
inference(subst,[],[quotient_less_equal2:[bind(X,$fot(divide(X_31,X_31))),bind(Y,$fot(zero))]]) ).
cnf(refute_0_105,plain,
less_equal(divide(divide(X_14,X_14),divide(X_13,X_14)),divide(divide(X_14,X_13),X_14)),
inference(subst,[],[quotient_property:[bind(X,$fot(X_14)),bind(Y,$fot(X_13)),bind(Z,$fot(X_14))]]) ).
cnf(refute_0_106,plain,
divide(divide(X_14,X_13),X_14) = zero,
inference(subst,[],[refute_0_87:[bind(Y,$fot(X_13)),bind(X_5,$fot(X_14))]]) ).
cnf(refute_0_107,plain,
( ~ less_equal(divide(divide(X_14,X_14),divide(X_13,X_14)),divide(divide(X_14,X_13),X_14))
| divide(divide(X_14,X_13),X_14) != zero
| less_equal(divide(divide(X_14,X_14),divide(X_13,X_14)),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(X_14,X_14),divide(X_13,X_14)),divide(divide(X_14,X_13),X_14)) ),[1],$fot(zero)]]) ).
cnf(refute_0_108,plain,
( ~ less_equal(divide(divide(X_14,X_14),divide(X_13,X_14)),divide(divide(X_14,X_13),X_14))
| less_equal(divide(divide(X_14,X_14),divide(X_13,X_14)),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(X_14,X_13),X_14),zero) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
less_equal(divide(divide(X_14,X_14),divide(X_13,X_14)),zero),
inference(resolve,[$cnf( less_equal(divide(divide(X_14,X_14),divide(X_13,X_14)),divide(divide(X_14,X_13),X_14)) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
less_equal(divide(divide(X_18,X_18),divide(divide(X_18,Y),X_18)),zero),
inference(subst,[],[refute_0_109:[bind(X_13,$fot(divide(X_18,Y))),bind(X_14,$fot(X_18))]]) ).
cnf(refute_0_111,plain,
divide(divide(X_18,Y),X_18) = zero,
inference(subst,[],[refute_0_87:[bind(X_5,$fot(X_18))]]) ).
cnf(refute_0_112,plain,
( ~ less_equal(divide(divide(X_18,X_18),divide(divide(X_18,Y),X_18)),zero)
| divide(divide(X_18,Y),X_18) != zero
| less_equal(divide(divide(X_18,X_18),zero),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(X_18,X_18),divide(divide(X_18,Y),X_18)),zero) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_113,plain,
( ~ less_equal(divide(divide(X_18,X_18),divide(divide(X_18,Y),X_18)),zero)
| less_equal(divide(divide(X_18,X_18),zero),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(X_18,Y),X_18),zero) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
less_equal(divide(divide(X_18,X_18),zero),zero),
inference(resolve,[$cnf( less_equal(divide(divide(X_18,X_18),divide(divide(X_18,Y),X_18)),zero) )],[refute_0_110,refute_0_113]) ).
cnf(refute_0_115,plain,
( ~ less_equal(divide(divide(X_18,X_18),zero),zero)
| ~ less_equal(zero,divide(divide(X_18,X_18),zero))
| divide(divide(X_18,X_18),zero) = zero ),
inference(subst,[],[less_equal_and_equal:[bind(X,$fot(divide(divide(X_18,X_18),zero))),bind(Y,$fot(zero))]]) ).
cnf(refute_0_116,plain,
( ~ less_equal(zero,divide(divide(X_18,X_18),zero))
| divide(divide(X_18,X_18),zero) = zero ),
inference(resolve,[$cnf( less_equal(divide(divide(X_18,X_18),zero),zero) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
less_equal(zero,divide(divide(X_18,X_18),zero)),
inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(divide(X_18,X_18),zero)))]]) ).
cnf(refute_0_118,plain,
divide(divide(X_18,X_18),zero) = zero,
inference(resolve,[$cnf( less_equal(zero,divide(divide(X_18,X_18),zero)) )],[refute_0_117,refute_0_116]) ).
cnf(refute_0_119,plain,
divide(divide(X_31,X_31),zero) = zero,
inference(subst,[],[refute_0_118:[bind(X_18,$fot(X_31))]]) ).
cnf(refute_0_120,plain,
( divide(divide(X_31,X_31),zero) != zero
| zero != zero
| divide(divide(X_31,X_31),zero) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(X_31,X_31),zero),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_121,plain,
( zero != zero
| divide(divide(X_31,X_31),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(X_31,X_31),zero),zero) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
( zero != zero
| less_equal(divide(X_31,X_31),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(X_31,X_31),zero),zero) )],[refute_0_121,refute_0_104]) ).
cnf(refute_0_123,plain,
less_equal(divide(X_31,X_31),zero),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_40,refute_0_122]) ).
cnf(refute_0_124,plain,
less_equal(divide(X_32,X_32),zero),
inference(subst,[],[refute_0_123:[bind(X_31,$fot(X_32))]]) ).
cnf(refute_0_125,plain,
( ~ less_equal(zero,divide(X_32,X_32))
| zero = divide(X_32,X_32) ),
inference(resolve,[$cnf( less_equal(divide(X_32,X_32),zero) )],[refute_0_124,refute_0_103]) ).
cnf(refute_0_126,plain,
less_equal(zero,divide(X_32,X_32)),
inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(X_32,X_32)))]]) ).
cnf(refute_0_127,plain,
zero = divide(X_32,X_32),
inference(resolve,[$cnf( less_equal(zero,divide(X_32,X_32)) )],[refute_0_126,refute_0_125]) ).
cnf(refute_0_128,plain,
zero = divide(divide(X_12,zero),divide(X_12,zero)),
inference(subst,[],[refute_0_127:[bind(X_32,$fot(divide(X_12,zero)))]]) ).
cnf(refute_0_129,plain,
( zero != divide(divide(X_12,zero),divide(X_12,zero))
| divide(divide(X_12,zero),divide(X_12,zero)) = zero ),
inference(subst,[],[refute_0_34:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(X_12,zero),divide(X_12,zero))))]]) ).
cnf(refute_0_130,plain,
divide(divide(X_12,zero),divide(X_12,zero)) = zero,
inference(resolve,[$cnf( $equal(zero,divide(divide(X_12,zero),divide(X_12,zero))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
( ~ less_equal(divide(divide(X_12,divide(X_12,zero)),zero),divide(divide(X_12,zero),divide(X_12,zero)))
| divide(divide(X_12,zero),divide(X_12,zero)) != zero
| less_equal(divide(divide(X_12,divide(X_12,zero)),zero),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(X_12,divide(X_12,zero)),zero),divide(divide(X_12,zero),divide(X_12,zero))) ),[1],$fot(zero)]]) ).
cnf(refute_0_132,plain,
( ~ less_equal(divide(divide(X_12,divide(X_12,zero)),zero),divide(divide(X_12,zero),divide(X_12,zero)))
| less_equal(divide(divide(X_12,divide(X_12,zero)),zero),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(X_12,zero),divide(X_12,zero)),zero) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
less_equal(divide(divide(X_12,divide(X_12,zero)),zero),zero),
inference(resolve,[$cnf( less_equal(divide(divide(X_12,divide(X_12,zero)),zero),divide(divide(X_12,zero),divide(X_12,zero))) )],[refute_0_102,refute_0_132]) ).
cnf(refute_0_134,plain,
less_equal(divide(divide(X_46,divide(X_46,zero)),zero),zero),
inference(subst,[],[refute_0_133:[bind(X_12,$fot(X_46))]]) ).
cnf(refute_0_135,plain,
zero = divide(divide(X_46,divide(X_46,zero)),zero),
inference(resolve,[$cnf( less_equal(divide(divide(X_46,divide(X_46,zero)),zero),zero) )],[refute_0_134,refute_0_97]) ).
cnf(refute_0_136,plain,
zero = divide(divide(X_47,divide(X_47,zero)),zero),
inference(subst,[],[refute_0_135:[bind(X_46,$fot(X_47))]]) ).
cnf(refute_0_137,plain,
( zero != divide(divide(X_47,divide(X_47,zero)),zero)
| divide(divide(X_47,divide(X_47,zero)),zero) = zero ),
inference(subst,[],[refute_0_34:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(X_47,divide(X_47,zero)),zero)))]]) ).
cnf(refute_0_138,plain,
divide(divide(X_47,divide(X_47,zero)),zero) = zero,
inference(resolve,[$cnf( $equal(zero,divide(divide(X_47,divide(X_47,zero)),zero)) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
( divide(divide(X_47,divide(X_47,zero)),zero) != zero
| zero != zero
| divide(divide(X_47,divide(X_47,zero)),zero) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(X_47,divide(X_47,zero)),zero),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_140,plain,
( zero != zero
| divide(divide(X_47,divide(X_47,zero)),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(X_47,divide(X_47,zero)),zero),zero) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
( zero != zero
| less_equal(divide(X_47,divide(X_47,zero)),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(X_47,divide(X_47,zero)),zero),zero) )],[refute_0_140,refute_0_96]) ).
cnf(refute_0_142,plain,
less_equal(divide(X_47,divide(X_47,zero)),zero),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_40,refute_0_141]) ).
cnf(refute_0_143,plain,
less_equal(divide(X_48,divide(X_48,zero)),zero),
inference(subst,[],[refute_0_142:[bind(X_47,$fot(X_48))]]) ).
cnf(refute_0_144,plain,
zero = divide(X_48,divide(X_48,zero)),
inference(resolve,[$cnf( less_equal(divide(X_48,divide(X_48,zero)),zero) )],[refute_0_143,refute_0_95]) ).
cnf(refute_0_145,plain,
zero = divide(X,divide(X,zero)),
inference(subst,[],[refute_0_144:[bind(X_48,$fot(X))]]) ).
cnf(refute_0_146,plain,
( zero != divide(X,divide(X,zero))
| divide(X,divide(X,zero)) = zero ),
inference(subst,[],[refute_0_34:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(X,divide(X,zero))))]]) ).
cnf(refute_0_147,plain,
divide(X,divide(X,zero)) = zero,
inference(resolve,[$cnf( $equal(zero,divide(X,divide(X,zero))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
( divide(X,divide(X,zero)) != zero
| zero != zero
| divide(X,divide(X,zero)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X,divide(X,zero)),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_149,plain,
( zero != zero
| divide(X,divide(X,zero)) = zero ),
inference(resolve,[$cnf( $equal(divide(X,divide(X,zero)),zero) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
( zero != zero
| less_equal(X,divide(X,zero)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(X,zero)),zero) )],[refute_0_149,refute_0_94]) ).
cnf(refute_0_151,plain,
less_equal(X,divide(X,zero)),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_40,refute_0_150]) ).
cnf(refute_0_152,plain,
less_equal(X_125,divide(X_125,zero)),
inference(subst,[],[refute_0_151:[bind(X,$fot(X_125))]]) ).
cnf(refute_0_153,plain,
( ~ less_equal(X_125,divide(X_125,zero))
| divide(X_125,zero) = X_125 ),
inference(subst,[],[refute_0_80:[bind(Y,$fot(zero)),bind(X_30,$fot(X_125))]]) ).
cnf(refute_0_154,plain,
divide(X_125,zero) = X_125,
inference(resolve,[$cnf( less_equal(X_125,divide(X_125,zero)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
divide(divide(X_68,X_69),zero) = divide(X_68,X_69),
inference(subst,[],[refute_0_154:[bind(X_125,$fot(divide(X_68,X_69)))]]) ).
cnf(refute_0_156,plain,
divide(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69)) = divide(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69)),
introduced(tautology,[refl,[$fot(divide(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69)))]]) ).
cnf(refute_0_157,plain,
( divide(divide(X_68,X_69),zero) != divide(X_68,X_69)
| divide(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69)) != divide(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69))
| divide(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69)) = divide(divide(X_68,X_69),divide(divide(X_68,divide(X_69,X_67)),X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69)),divide(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69))) ),[1,0],$fot(divide(X_68,X_69))]]) ).
cnf(refute_0_158,plain,
( divide(divide(X_68,X_69),zero) != divide(X_68,X_69)
| divide(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69)) = divide(divide(X_68,X_69),divide(divide(X_68,divide(X_69,X_67)),X_69)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69)),divide(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
divide(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69)) = divide(divide(X_68,X_69),divide(divide(X_68,divide(X_69,X_67)),X_69)),
inference(resolve,[$cnf( $equal(divide(divide(X_68,X_69),zero),divide(X_68,X_69)) )],[refute_0_155,refute_0_158]) ).
cnf(refute_0_160,plain,
( divide(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69)) != divide(divide(X_68,X_69),divide(divide(X_68,divide(X_69,X_67)),X_69))
| divide(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69)) != zero
| divide(divide(X_68,X_69),divide(divide(X_68,divide(X_69,X_67)),X_69)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69)),zero) ),[0],$fot(divide(divide(X_68,X_69),divide(divide(X_68,divide(X_69,X_67)),X_69)))]]) ).
cnf(refute_0_161,plain,
( divide(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69)) != zero
| divide(divide(X_68,X_69),divide(divide(X_68,divide(X_69,X_67)),X_69)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69)),divide(divide(X_68,X_69),divide(divide(X_68,divide(X_69,X_67)),X_69))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
divide(divide(X_68,X_69),divide(divide(X_68,divide(X_69,X_67)),X_69)) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(X_68,X_69),zero),divide(divide(X_68,divide(X_69,X_67)),X_69)),zero) )],[refute_0_93,refute_0_161]) ).
cnf(refute_0_163,plain,
divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(divide(divide(X_151,X_67),divide(divide(X_151,divide(X_67,X_150)),X_67)),divide(X_151,divide(X_67,X_150)))) = zero,
inference(subst,[],[refute_0_162:[bind(X_68,$fot(divide(X_151,X_67))),bind(X_69,$fot(divide(X_151,divide(X_67,X_150))))]]) ).
cnf(refute_0_164,plain,
divide(divide(X_151,X_67),divide(divide(X_151,divide(X_67,X_150)),X_67)) = zero,
inference(subst,[],[refute_0_162:[bind(X_67,$fot(X_150)),bind(X_68,$fot(X_151)),bind(X_69,$fot(X_67))]]) ).
cnf(refute_0_165,plain,
( divide(divide(X_151,X_67),divide(divide(X_151,divide(X_67,X_150)),X_67)) != zero
| divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(divide(divide(X_151,X_67),divide(divide(X_151,divide(X_67,X_150)),X_67)),divide(X_151,divide(X_67,X_150)))) != zero
| divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(divide(divide(X_151,X_67),divide(divide(X_151,divide(X_67,X_150)),X_67)),divide(X_151,divide(X_67,X_150)))),zero) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_166,plain,
( divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(divide(divide(X_151,X_67),divide(divide(X_151,divide(X_67,X_150)),X_67)),divide(X_151,divide(X_67,X_150)))) != zero
| divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(X_151,X_67),divide(divide(X_151,divide(X_67,X_150)),X_67)),zero) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(divide(divide(X_151,X_67),divide(divide(X_151,divide(X_67,X_150)),X_67)),divide(X_151,divide(X_67,X_150)))),zero) )],[refute_0_163,refute_0_166]) ).
cnf(refute_0_168,plain,
divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),zero) = divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),
inference(subst,[],[refute_0_154:[bind(X_125,$fot(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150)))))]]) ).
cnf(refute_0_169,plain,
divide(zero,divide(X_151,divide(X_67,X_150))) = zero,
inference(subst,[],[refute_0_16:[bind(X_5,$fot(divide(X_151,divide(X_67,X_150))))]]) ).
cnf(refute_0_170,plain,
divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))) = divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))),
introduced(tautology,[refl,[$fot(divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))))]]) ).
cnf(refute_0_171,plain,
( divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))) != divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150))))
| divide(zero,divide(X_151,divide(X_67,X_150))) != zero
| divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))) = divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))),divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_172,plain,
( divide(zero,divide(X_151,divide(X_67,X_150))) != zero
| divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))) = divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))),divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150))))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))) = divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),zero),
inference(resolve,[$cnf( $equal(divide(zero,divide(X_151,divide(X_67,X_150))),zero) )],[refute_0_169,refute_0_172]) ).
cnf(refute_0_174,plain,
( divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))) != divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),zero)
| divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),zero) != divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150)))
| divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))) = divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))) ),
inference(subst,[],[refute_0_63:[bind(X0,$fot(divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))))),bind(Y0,$fot(divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),zero))),bind(Z0,$fot(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150)))))]]) ).
cnf(refute_0_175,plain,
( divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),zero) != divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150)))
| divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))) = divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))),divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),zero)) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))) = divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),zero),divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150)))) )],[refute_0_168,refute_0_175]) ).
cnf(refute_0_177,plain,
( divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))) != divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150)))
| divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))) != zero
| divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))),zero) ),[0],$fot(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))))]]) ).
cnf(refute_0_178,plain,
( divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))) != zero
| divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))),divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150)))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(X_151,X_67),divide(X_151,divide(X_67,X_150))),divide(zero,divide(X_151,divide(X_67,X_150)))),zero) )],[refute_0_167,refute_0_178]) ).
cnf(refute_0_180,plain,
divide(divide(X_154,X_155),divide(X_154,divide(X_155,X_153))) = zero,
inference(subst,[],[refute_0_179:[bind(X_150,$fot(X_153)),bind(X_151,$fot(X_154)),bind(X_67,$fot(X_155))]]) ).
cnf(refute_0_181,plain,
( divide(divide(X_154,X_155),divide(X_154,divide(X_155,X_153))) != zero
| zero != zero
| divide(divide(X_154,X_155),divide(X_154,divide(X_155,X_153))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(X_154,X_155),divide(X_154,divide(X_155,X_153))),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_182,plain,
( zero != zero
| divide(divide(X_154,X_155),divide(X_154,divide(X_155,X_153))) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(X_154,X_155),divide(X_154,divide(X_155,X_153))),zero) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
( zero != zero
| less_equal(divide(X_154,X_155),divide(X_154,divide(X_155,X_153))) ),
inference(resolve,[$cnf( $equal(divide(divide(X_154,X_155),divide(X_154,divide(X_155,X_153))),zero) )],[refute_0_182,refute_0_82]) ).
cnf(refute_0_184,plain,
less_equal(divide(X_154,X_155),divide(X_154,divide(X_155,X_153))),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_40,refute_0_183]) ).
cnf(refute_0_185,plain,
less_equal(divide(divide(X_114,X_164),X_164),divide(divide(X_114,X_164),divide(X_164,X_162))),
inference(subst,[],[refute_0_184:[bind(X_153,$fot(X_162)),bind(X_154,$fot(divide(X_114,X_164))),bind(X_155,$fot(X_164))]]) ).
cnf(refute_0_186,plain,
( ~ less_equal(divide(X_114,X_124),divide(divide(X_114,X_124),X_124))
| divide(divide(X_114,X_124),X_124) = divide(X_114,X_124) ),
inference(subst,[],[refute_0_80:[bind(Y,$fot(X_124)),bind(X_30,$fot(divide(X_114,X_124)))]]) ).
cnf(refute_0_187,plain,
( ~ less_equal(divide(divide(X_114,X_115),X_115),divide(divide(X_114,X_115),zero))
| ~ less_equal(divide(divide(X_114,X_115),zero),divide(divide(X_114,X_115),X_115))
| divide(divide(X_114,X_115),X_115) = divide(divide(X_114,X_115),zero) ),
inference(subst,[],[less_equal_and_equal:[bind(X,$fot(divide(divide(X_114,X_115),X_115))),bind(Y,$fot(divide(divide(X_114,X_115),zero)))]]) ).
cnf(refute_0_188,plain,
less_equal(divide(divide(X,Z),divide(Z,Z)),divide(divide(X,Z),Z)),
inference(subst,[],[quotient_property:[bind(Y,$fot(Z))]]) ).
cnf(refute_0_189,plain,
zero = divide(Z,Z),
inference(subst,[],[refute_0_127:[bind(X_32,$fot(Z))]]) ).
cnf(refute_0_190,plain,
( zero != divide(Z,Z)
| divide(Z,Z) = zero ),
inference(subst,[],[refute_0_34:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(Z,Z)))]]) ).
cnf(refute_0_191,plain,
divide(Z,Z) = zero,
inference(resolve,[$cnf( $equal(zero,divide(Z,Z)) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
( ~ less_equal(divide(divide(X,Z),divide(Z,Z)),divide(divide(X,Z),Z))
| divide(Z,Z) != zero
| less_equal(divide(divide(X,Z),zero),divide(divide(X,Z),Z)) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(X,Z),divide(Z,Z)),divide(divide(X,Z),Z)) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_193,plain,
( ~ less_equal(divide(divide(X,Z),divide(Z,Z)),divide(divide(X,Z),Z))
| less_equal(divide(divide(X,Z),zero),divide(divide(X,Z),Z)) ),
inference(resolve,[$cnf( $equal(divide(Z,Z),zero) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
less_equal(divide(divide(X,Z),zero),divide(divide(X,Z),Z)),
inference(resolve,[$cnf( less_equal(divide(divide(X,Z),divide(Z,Z)),divide(divide(X,Z),Z)) )],[refute_0_188,refute_0_193]) ).
cnf(refute_0_195,plain,
less_equal(divide(divide(X_114,X_115),zero),divide(divide(X_114,X_115),X_115)),
inference(subst,[],[refute_0_194:[bind(X,$fot(X_114)),bind(Z,$fot(X_115))]]) ).
cnf(refute_0_196,plain,
( ~ less_equal(divide(divide(X_114,X_115),X_115),divide(divide(X_114,X_115),zero))
| divide(divide(X_114,X_115),X_115) = divide(divide(X_114,X_115),zero) ),
inference(resolve,[$cnf( less_equal(divide(divide(X_114,X_115),zero),divide(divide(X_114,X_115),X_115)) )],[refute_0_195,refute_0_187]) ).
cnf(refute_0_197,plain,
( divide(divide(X_86,X_85),divide(X_86,zero)) != zero
| less_equal(divide(X_86,X_85),divide(X_86,zero)) ),
inference(subst,[],[quotient_less_equal2:[bind(X,$fot(divide(X_86,X_85))),bind(Y,$fot(divide(X_86,zero)))]]) ).
cnf(refute_0_198,plain,
( ~ less_equal(divide(divide(X_84,X_83),divide(X_84,zero)),zero)
| zero = divide(divide(X_84,X_83),divide(X_84,zero)) ),
inference(subst,[],[refute_0_3:[bind(X_30,$fot(divide(divide(X_84,X_83),divide(X_84,zero))))]]) ).
cnf(refute_0_199,plain,
( divide(X,divide(divide(X,zero),zero)) != zero
| less_equal(X,divide(divide(X,zero),zero)) ),
inference(subst,[],[quotient_less_equal2:[bind(Y,$fot(divide(divide(X,zero),zero)))]]) ).
cnf(refute_0_200,plain,
( ~ less_equal(divide(X_59,divide(divide(X_59,zero),zero)),zero)
| zero = divide(X_59,divide(divide(X_59,zero),zero)) ),
inference(subst,[],[refute_0_3:[bind(X_30,$fot(divide(X_59,divide(divide(X_59,zero),zero))))]]) ).
cnf(refute_0_201,plain,
less_equal(divide(X_58,divide(divide(X_58,zero),zero)),divide(divide(X_58,divide(divide(X_58,zero),zero)),zero)),
inference(subst,[],[refute_0_151:[bind(X,$fot(divide(X_58,divide(divide(X_58,zero),zero))))]]) ).
cnf(refute_0_202,plain,
( ~ less_equal(divide(divide(X_57,divide(divide(X_57,zero),zero)),zero),zero)
| zero = divide(divide(X_57,divide(divide(X_57,zero),zero)),zero) ),
inference(subst,[],[refute_0_3:[bind(X_30,$fot(divide(divide(X_57,divide(divide(X_57,zero),zero)),zero)))]]) ).
cnf(refute_0_203,plain,
less_equal(divide(divide(X_56,divide(divide(X_56,zero),zero)),zero),divide(divide(divide(X_56,divide(divide(X_56,zero),zero)),zero),zero)),
inference(subst,[],[refute_0_151:[bind(X,$fot(divide(divide(X_56,divide(divide(X_56,zero),zero)),zero)))]]) ).
cnf(refute_0_204,plain,
( ~ less_equal(divide(divide(X_21,X_22),zero),divide(divide(X_21,zero),X_22))
| divide(divide(divide(X_21,X_22),zero),divide(divide(X_21,zero),X_22)) = zero ),
inference(subst,[],[quotient_less_equal1:[bind(X,$fot(divide(divide(X_21,X_22),zero))),bind(Y,$fot(divide(divide(X_21,zero),X_22)))]]) ).
cnf(refute_0_205,plain,
less_equal(divide(divide(X_21,X_22),zero),divide(divide(X_21,zero),X_22)),
inference(subst,[],[refute_0_101:[bind(X_12,$fot(X_21)),bind(X_14,$fot(X_22))]]) ).
cnf(refute_0_206,plain,
divide(divide(divide(X_21,X_22),zero),divide(divide(X_21,zero),X_22)) = zero,
inference(resolve,[$cnf( less_equal(divide(divide(X_21,X_22),zero),divide(divide(X_21,zero),X_22)) )],[refute_0_205,refute_0_204]) ).
cnf(refute_0_207,plain,
divide(divide(divide(X_54,divide(divide(X_54,zero),zero)),zero),divide(divide(X_54,zero),divide(divide(X_54,zero),zero))) = zero,
inference(subst,[],[refute_0_206:[bind(X_21,$fot(X_54)),bind(X_22,$fot(divide(divide(X_54,zero),zero)))]]) ).
cnf(refute_0_208,plain,
zero = divide(divide(X_54,zero),divide(divide(X_54,zero),zero)),
inference(subst,[],[refute_0_144:[bind(X_48,$fot(divide(X_54,zero)))]]) ).
cnf(refute_0_209,plain,
( zero != divide(divide(X_54,zero),divide(divide(X_54,zero),zero))
| divide(divide(X_54,zero),divide(divide(X_54,zero),zero)) = zero ),
inference(subst,[],[refute_0_34:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(X_54,zero),divide(divide(X_54,zero),zero))))]]) ).
cnf(refute_0_210,plain,
divide(divide(X_54,zero),divide(divide(X_54,zero),zero)) = zero,
inference(resolve,[$cnf( $equal(zero,divide(divide(X_54,zero),divide(divide(X_54,zero),zero))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
( divide(divide(X_54,zero),divide(divide(X_54,zero),zero)) != zero
| divide(divide(divide(X_54,divide(divide(X_54,zero),zero)),zero),divide(divide(X_54,zero),divide(divide(X_54,zero),zero))) != zero
| divide(divide(divide(X_54,divide(divide(X_54,zero),zero)),zero),zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_54,divide(divide(X_54,zero),zero)),zero),divide(divide(X_54,zero),divide(divide(X_54,zero),zero))),zero) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_212,plain,
( divide(divide(divide(X_54,divide(divide(X_54,zero),zero)),zero),divide(divide(X_54,zero),divide(divide(X_54,zero),zero))) != zero
| divide(divide(divide(X_54,divide(divide(X_54,zero),zero)),zero),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(X_54,zero),divide(divide(X_54,zero),zero)),zero) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
divide(divide(divide(X_54,divide(divide(X_54,zero),zero)),zero),zero) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(X_54,divide(divide(X_54,zero),zero)),zero),divide(divide(X_54,zero),divide(divide(X_54,zero),zero))),zero) )],[refute_0_207,refute_0_212]) ).
cnf(refute_0_214,plain,
divide(divide(divide(X_56,divide(divide(X_56,zero),zero)),zero),zero) = zero,
inference(subst,[],[refute_0_213:[bind(X_54,$fot(X_56))]]) ).
cnf(refute_0_215,plain,
( ~ less_equal(divide(divide(X_56,divide(divide(X_56,zero),zero)),zero),divide(divide(divide(X_56,divide(divide(X_56,zero),zero)),zero),zero))
| divide(divide(divide(X_56,divide(divide(X_56,zero),zero)),zero),zero) != zero
| less_equal(divide(divide(X_56,divide(divide(X_56,zero),zero)),zero),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(X_56,divide(divide(X_56,zero),zero)),zero),divide(divide(divide(X_56,divide(divide(X_56,zero),zero)),zero),zero)) ),[1],$fot(zero)]]) ).
cnf(refute_0_216,plain,
( ~ less_equal(divide(divide(X_56,divide(divide(X_56,zero),zero)),zero),divide(divide(divide(X_56,divide(divide(X_56,zero),zero)),zero),zero))
| less_equal(divide(divide(X_56,divide(divide(X_56,zero),zero)),zero),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_56,divide(divide(X_56,zero),zero)),zero),zero),zero) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
less_equal(divide(divide(X_56,divide(divide(X_56,zero),zero)),zero),zero),
inference(resolve,[$cnf( less_equal(divide(divide(X_56,divide(divide(X_56,zero),zero)),zero),divide(divide(divide(X_56,divide(divide(X_56,zero),zero)),zero),zero)) )],[refute_0_203,refute_0_216]) ).
cnf(refute_0_218,plain,
less_equal(divide(divide(X_57,divide(divide(X_57,zero),zero)),zero),zero),
inference(subst,[],[refute_0_217:[bind(X_56,$fot(X_57))]]) ).
cnf(refute_0_219,plain,
zero = divide(divide(X_57,divide(divide(X_57,zero),zero)),zero),
inference(resolve,[$cnf( less_equal(divide(divide(X_57,divide(divide(X_57,zero),zero)),zero),zero) )],[refute_0_218,refute_0_202]) ).
cnf(refute_0_220,plain,
zero = divide(divide(X_58,divide(divide(X_58,zero),zero)),zero),
inference(subst,[],[refute_0_219:[bind(X_57,$fot(X_58))]]) ).
cnf(refute_0_221,plain,
( zero != divide(divide(X_58,divide(divide(X_58,zero),zero)),zero)
| divide(divide(X_58,divide(divide(X_58,zero),zero)),zero) = zero ),
inference(subst,[],[refute_0_34:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(X_58,divide(divide(X_58,zero),zero)),zero)))]]) ).
cnf(refute_0_222,plain,
divide(divide(X_58,divide(divide(X_58,zero),zero)),zero) = zero,
inference(resolve,[$cnf( $equal(zero,divide(divide(X_58,divide(divide(X_58,zero),zero)),zero)) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
( ~ less_equal(divide(X_58,divide(divide(X_58,zero),zero)),divide(divide(X_58,divide(divide(X_58,zero),zero)),zero))
| divide(divide(X_58,divide(divide(X_58,zero),zero)),zero) != zero
| less_equal(divide(X_58,divide(divide(X_58,zero),zero)),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(X_58,divide(divide(X_58,zero),zero)),divide(divide(X_58,divide(divide(X_58,zero),zero)),zero)) ),[1],$fot(zero)]]) ).
cnf(refute_0_224,plain,
( ~ less_equal(divide(X_58,divide(divide(X_58,zero),zero)),divide(divide(X_58,divide(divide(X_58,zero),zero)),zero))
| less_equal(divide(X_58,divide(divide(X_58,zero),zero)),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(X_58,divide(divide(X_58,zero),zero)),zero),zero) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
less_equal(divide(X_58,divide(divide(X_58,zero),zero)),zero),
inference(resolve,[$cnf( less_equal(divide(X_58,divide(divide(X_58,zero),zero)),divide(divide(X_58,divide(divide(X_58,zero),zero)),zero)) )],[refute_0_201,refute_0_224]) ).
cnf(refute_0_226,plain,
less_equal(divide(X_59,divide(divide(X_59,zero),zero)),zero),
inference(subst,[],[refute_0_225:[bind(X_58,$fot(X_59))]]) ).
cnf(refute_0_227,plain,
zero = divide(X_59,divide(divide(X_59,zero),zero)),
inference(resolve,[$cnf( less_equal(divide(X_59,divide(divide(X_59,zero),zero)),zero) )],[refute_0_226,refute_0_200]) ).
cnf(refute_0_228,plain,
zero = divide(X,divide(divide(X,zero),zero)),
inference(subst,[],[refute_0_227:[bind(X_59,$fot(X))]]) ).
cnf(refute_0_229,plain,
( zero != divide(X,divide(divide(X,zero),zero))
| divide(X,divide(divide(X,zero),zero)) = zero ),
inference(subst,[],[refute_0_34:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(X,divide(divide(X,zero),zero))))]]) ).
cnf(refute_0_230,plain,
divide(X,divide(divide(X,zero),zero)) = zero,
inference(resolve,[$cnf( $equal(zero,divide(X,divide(divide(X,zero),zero))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
( divide(X,divide(divide(X,zero),zero)) != zero
| zero != zero
| divide(X,divide(divide(X,zero),zero)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X,divide(divide(X,zero),zero)),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_232,plain,
( zero != zero
| divide(X,divide(divide(X,zero),zero)) = zero ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(X,zero),zero)),zero) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
( zero != zero
| less_equal(X,divide(divide(X,zero),zero)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(X,zero),zero)),zero) )],[refute_0_232,refute_0_199]) ).
cnf(refute_0_234,plain,
less_equal(X,divide(divide(X,zero),zero)),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_40,refute_0_233]) ).
cnf(refute_0_235,plain,
less_equal(divide(divide(X_74,X_73),divide(X_74,zero)),divide(divide(divide(divide(X_74,X_73),divide(X_74,zero)),zero),zero)),
inference(subst,[],[refute_0_234:[bind(X,$fot(divide(divide(X_74,X_73),divide(X_74,zero))))]]) ).
cnf(refute_0_236,plain,
( ~ less_equal(divide(divide(divide(X_63,X_62),divide(X_63,zero)),zero),zero)
| zero = divide(divide(divide(X_63,X_62),divide(X_63,zero)),zero) ),
inference(subst,[],[refute_0_3:[bind(X_30,$fot(divide(divide(divide(X_63,X_62),divide(X_63,zero)),zero)))]]) ).
cnf(refute_0_237,plain,
less_equal(divide(divide(divide(X_13,Y),X_14),divide(X_13,X_14)),divide(divide(divide(X_13,Y),X_13),X_14)),
inference(subst,[],[quotient_property:[bind(X,$fot(divide(X_13,Y))),bind(Y,$fot(X_13)),bind(Z,$fot(X_14))]]) ).
cnf(refute_0_238,plain,
divide(divide(X_13,Y),X_13) = zero,
inference(subst,[],[refute_0_87:[bind(X_5,$fot(X_13))]]) ).
cnf(refute_0_239,plain,
( ~ less_equal(divide(divide(divide(X_13,Y),X_14),divide(X_13,X_14)),divide(divide(divide(X_13,Y),X_13),X_14))
| divide(divide(X_13,Y),X_13) != zero
| less_equal(divide(divide(divide(X_13,Y),X_14),divide(X_13,X_14)),divide(zero,X_14)) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(divide(X_13,Y),X_14),divide(X_13,X_14)),divide(divide(divide(X_13,Y),X_13),X_14)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_240,plain,
( ~ less_equal(divide(divide(divide(X_13,Y),X_14),divide(X_13,X_14)),divide(divide(divide(X_13,Y),X_13),X_14))
| less_equal(divide(divide(divide(X_13,Y),X_14),divide(X_13,X_14)),divide(zero,X_14)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_13,Y),X_13),zero) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
less_equal(divide(divide(divide(X_13,Y),X_14),divide(X_13,X_14)),divide(zero,X_14)),
inference(resolve,[$cnf( less_equal(divide(divide(divide(X_13,Y),X_14),divide(X_13,X_14)),divide(divide(divide(X_13,Y),X_13),X_14)) )],[refute_0_237,refute_0_240]) ).
cnf(refute_0_242,plain,
( ~ less_equal(divide(divide(divide(X_13,Y),X_14),divide(X_13,X_14)),divide(zero,X_14))
| divide(zero,X_14) != zero
| less_equal(divide(divide(divide(X_13,Y),X_14),divide(X_13,X_14)),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(divide(X_13,Y),X_14),divide(X_13,X_14)),divide(zero,X_14)) ),[1],$fot(zero)]]) ).
cnf(refute_0_243,plain,
( ~ less_equal(divide(divide(divide(X_13,Y),X_14),divide(X_13,X_14)),divide(zero,X_14))
| less_equal(divide(divide(divide(X_13,Y),X_14),divide(X_13,X_14)),zero) ),
inference(resolve,[$cnf( $equal(divide(zero,X_14),zero) )],[refute_0_17,refute_0_242]) ).
cnf(refute_0_244,plain,
less_equal(divide(divide(divide(X_13,Y),X_14),divide(X_13,X_14)),zero),
inference(resolve,[$cnf( less_equal(divide(divide(divide(X_13,Y),X_14),divide(X_13,X_14)),divide(zero,X_14)) )],[refute_0_241,refute_0_243]) ).
cnf(refute_0_245,plain,
less_equal(divide(divide(divide(X_52,X_51),divide(X_52,zero)),divide(X_52,divide(X_52,zero))),zero),
inference(subst,[],[refute_0_244:[bind(Y,$fot(X_51)),bind(X_13,$fot(X_52)),bind(X_14,$fot(divide(X_52,zero)))]]) ).
cnf(refute_0_246,plain,
zero = divide(X_52,divide(X_52,zero)),
inference(subst,[],[refute_0_144:[bind(X_48,$fot(X_52))]]) ).
cnf(refute_0_247,plain,
( zero != divide(X_52,divide(X_52,zero))
| divide(X_52,divide(X_52,zero)) = zero ),
inference(subst,[],[refute_0_34:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(X_52,divide(X_52,zero))))]]) ).
cnf(refute_0_248,plain,
divide(X_52,divide(X_52,zero)) = zero,
inference(resolve,[$cnf( $equal(zero,divide(X_52,divide(X_52,zero))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
( ~ less_equal(divide(divide(divide(X_52,X_51),divide(X_52,zero)),divide(X_52,divide(X_52,zero))),zero)
| divide(X_52,divide(X_52,zero)) != zero
| less_equal(divide(divide(divide(X_52,X_51),divide(X_52,zero)),zero),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(divide(X_52,X_51),divide(X_52,zero)),divide(X_52,divide(X_52,zero))),zero) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_250,plain,
( ~ less_equal(divide(divide(divide(X_52,X_51),divide(X_52,zero)),divide(X_52,divide(X_52,zero))),zero)
| less_equal(divide(divide(divide(X_52,X_51),divide(X_52,zero)),zero),zero) ),
inference(resolve,[$cnf( $equal(divide(X_52,divide(X_52,zero)),zero) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
less_equal(divide(divide(divide(X_52,X_51),divide(X_52,zero)),zero),zero),
inference(resolve,[$cnf( less_equal(divide(divide(divide(X_52,X_51),divide(X_52,zero)),divide(X_52,divide(X_52,zero))),zero) )],[refute_0_245,refute_0_250]) ).
cnf(refute_0_252,plain,
less_equal(divide(divide(divide(X_63,X_62),divide(X_63,zero)),zero),zero),
inference(subst,[],[refute_0_251:[bind(X_51,$fot(X_62)),bind(X_52,$fot(X_63))]]) ).
cnf(refute_0_253,plain,
zero = divide(divide(divide(X_63,X_62),divide(X_63,zero)),zero),
inference(resolve,[$cnf( less_equal(divide(divide(divide(X_63,X_62),divide(X_63,zero)),zero),zero) )],[refute_0_252,refute_0_236]) ).
cnf(refute_0_254,plain,
zero = divide(divide(divide(X_74,X_73),divide(X_74,zero)),zero),
inference(subst,[],[refute_0_253:[bind(X_62,$fot(X_73)),bind(X_63,$fot(X_74))]]) ).
cnf(refute_0_255,plain,
( zero != divide(divide(divide(X_74,X_73),divide(X_74,zero)),zero)
| divide(divide(divide(X_74,X_73),divide(X_74,zero)),zero) = zero ),
inference(subst,[],[refute_0_34:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(divide(X_74,X_73),divide(X_74,zero)),zero)))]]) ).
cnf(refute_0_256,plain,
divide(divide(divide(X_74,X_73),divide(X_74,zero)),zero) = zero,
inference(resolve,[$cnf( $equal(zero,divide(divide(divide(X_74,X_73),divide(X_74,zero)),zero)) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
( ~ less_equal(divide(divide(X_74,X_73),divide(X_74,zero)),divide(divide(divide(divide(X_74,X_73),divide(X_74,zero)),zero),zero))
| divide(divide(divide(X_74,X_73),divide(X_74,zero)),zero) != zero
| less_equal(divide(divide(X_74,X_73),divide(X_74,zero)),divide(zero,zero)) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(X_74,X_73),divide(X_74,zero)),divide(divide(divide(divide(X_74,X_73),divide(X_74,zero)),zero),zero)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_258,plain,
( ~ less_equal(divide(divide(X_74,X_73),divide(X_74,zero)),divide(divide(divide(divide(X_74,X_73),divide(X_74,zero)),zero),zero))
| less_equal(divide(divide(X_74,X_73),divide(X_74,zero)),divide(zero,zero)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_74,X_73),divide(X_74,zero)),zero),zero) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
less_equal(divide(divide(X_74,X_73),divide(X_74,zero)),divide(zero,zero)),
inference(resolve,[$cnf( less_equal(divide(divide(X_74,X_73),divide(X_74,zero)),divide(divide(divide(divide(X_74,X_73),divide(X_74,zero)),zero),zero)) )],[refute_0_235,refute_0_258]) ).
cnf(refute_0_260,plain,
( zero != divide(X_32,X_32)
| divide(X_32,X_32) = zero ),
inference(subst,[],[refute_0_34:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(X_32,X_32)))]]) ).
cnf(refute_0_261,plain,
divide(X_32,X_32) = zero,
inference(resolve,[$cnf( $equal(zero,divide(X_32,X_32)) )],[refute_0_127,refute_0_260]) ).
cnf(refute_0_262,plain,
divide(zero,zero) = zero,
inference(subst,[],[refute_0_261:[bind(X_32,$fot(zero))]]) ).
cnf(refute_0_263,plain,
( ~ less_equal(divide(divide(X_74,X_73),divide(X_74,zero)),divide(zero,zero))
| divide(zero,zero) != zero
| less_equal(divide(divide(X_74,X_73),divide(X_74,zero)),zero) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(X_74,X_73),divide(X_74,zero)),divide(zero,zero)) ),[1],$fot(zero)]]) ).
cnf(refute_0_264,plain,
( ~ less_equal(divide(divide(X_74,X_73),divide(X_74,zero)),divide(zero,zero))
| less_equal(divide(divide(X_74,X_73),divide(X_74,zero)),zero) ),
inference(resolve,[$cnf( $equal(divide(zero,zero),zero) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
less_equal(divide(divide(X_74,X_73),divide(X_74,zero)),zero),
inference(resolve,[$cnf( less_equal(divide(divide(X_74,X_73),divide(X_74,zero)),divide(zero,zero)) )],[refute_0_259,refute_0_264]) ).
cnf(refute_0_266,plain,
less_equal(divide(divide(X_84,X_83),divide(X_84,zero)),zero),
inference(subst,[],[refute_0_265:[bind(X_73,$fot(X_83)),bind(X_74,$fot(X_84))]]) ).
cnf(refute_0_267,plain,
zero = divide(divide(X_84,X_83),divide(X_84,zero)),
inference(resolve,[$cnf( less_equal(divide(divide(X_84,X_83),divide(X_84,zero)),zero) )],[refute_0_266,refute_0_198]) ).
cnf(refute_0_268,plain,
zero = divide(divide(X_86,X_85),divide(X_86,zero)),
inference(subst,[],[refute_0_267:[bind(X_83,$fot(X_85)),bind(X_84,$fot(X_86))]]) ).
cnf(refute_0_269,plain,
( zero != divide(divide(X_86,X_85),divide(X_86,zero))
| divide(divide(X_86,X_85),divide(X_86,zero)) = zero ),
inference(subst,[],[refute_0_34:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(X_86,X_85),divide(X_86,zero))))]]) ).
cnf(refute_0_270,plain,
divide(divide(X_86,X_85),divide(X_86,zero)) = zero,
inference(resolve,[$cnf( $equal(zero,divide(divide(X_86,X_85),divide(X_86,zero))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
( divide(divide(X_86,X_85),divide(X_86,zero)) != zero
| zero != zero
| divide(divide(X_86,X_85),divide(X_86,zero)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(X_86,X_85),divide(X_86,zero)),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_272,plain,
( zero != zero
| divide(divide(X_86,X_85),divide(X_86,zero)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(X_86,X_85),divide(X_86,zero)),zero) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
( zero != zero
| less_equal(divide(X_86,X_85),divide(X_86,zero)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_86,X_85),divide(X_86,zero)),zero) )],[refute_0_272,refute_0_197]) ).
cnf(refute_0_274,plain,
less_equal(divide(X_86,X_85),divide(X_86,zero)),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_40,refute_0_273]) ).
cnf(refute_0_275,plain,
less_equal(divide(divide(X_114,X_115),X_115),divide(divide(X_114,X_115),zero)),
inference(subst,[],[refute_0_274:[bind(X_85,$fot(X_115)),bind(X_86,$fot(divide(X_114,X_115)))]]) ).
cnf(refute_0_276,plain,
divide(divide(X_114,X_115),X_115) = divide(divide(X_114,X_115),zero),
inference(resolve,[$cnf( less_equal(divide(divide(X_114,X_115),X_115),divide(divide(X_114,X_115),zero)) )],[refute_0_275,refute_0_196]) ).
cnf(refute_0_277,plain,
divide(divide(X_114,X_124),X_124) = divide(divide(X_114,X_124),zero),
inference(subst,[],[refute_0_276:[bind(X_115,$fot(X_124))]]) ).
cnf(refute_0_278,plain,
( ~ less_equal(divide(X_114,X_124),divide(divide(X_114,X_124),zero))
| divide(divide(X_114,X_124),X_124) != divide(divide(X_114,X_124),zero)
| less_equal(divide(X_114,X_124),divide(divide(X_114,X_124),X_124)) ),
introduced(tautology,[equality,[$cnf( ~ less_equal(divide(X_114,X_124),divide(divide(X_114,X_124),X_124)) ),[1],$fot(divide(divide(X_114,X_124),zero))]]) ).
cnf(refute_0_279,plain,
( ~ less_equal(divide(X_114,X_124),divide(divide(X_114,X_124),zero))
| less_equal(divide(X_114,X_124),divide(divide(X_114,X_124),X_124)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_114,X_124),X_124),divide(divide(X_114,X_124),zero)) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
( ~ less_equal(divide(X_114,X_124),divide(divide(X_114,X_124),zero))
| divide(divide(X_114,X_124),X_124) = divide(X_114,X_124) ),
inference(resolve,[$cnf( less_equal(divide(X_114,X_124),divide(divide(X_114,X_124),X_124)) )],[refute_0_279,refute_0_186]) ).
cnf(refute_0_281,plain,
divide(divide(X_114,X_124),zero) = divide(X_114,X_124),
inference(subst,[],[refute_0_154:[bind(X_125,$fot(divide(X_114,X_124)))]]) ).
cnf(refute_0_282,plain,
( ~ less_equal(divide(X_114,X_124),divide(X_114,X_124))
| divide(divide(X_114,X_124),zero) != divide(X_114,X_124)
| less_equal(divide(X_114,X_124),divide(divide(X_114,X_124),zero)) ),
introduced(tautology,[equality,[$cnf( ~ less_equal(divide(X_114,X_124),divide(divide(X_114,X_124),zero)) ),[1],$fot(divide(X_114,X_124))]]) ).
cnf(refute_0_283,plain,
( ~ less_equal(divide(X_114,X_124),divide(X_114,X_124))
| less_equal(divide(X_114,X_124),divide(divide(X_114,X_124),zero)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_114,X_124),zero),divide(X_114,X_124)) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
( ~ less_equal(divide(X_114,X_124),divide(X_114,X_124))
| divide(divide(X_114,X_124),X_124) = divide(X_114,X_124) ),
inference(resolve,[$cnf( less_equal(divide(X_114,X_124),divide(divide(X_114,X_124),zero)) )],[refute_0_283,refute_0_280]) ).
cnf(refute_0_285,plain,
( divide(Y,Y) != zero
| less_equal(Y,Y) ),
inference(subst,[],[quotient_less_equal2:[bind(X,$fot(Y))]]) ).
cnf(refute_0_286,plain,
zero = divide(Y,Y),
inference(subst,[],[refute_0_127:[bind(X_32,$fot(Y))]]) ).
cnf(refute_0_287,plain,
( zero != divide(Y,Y)
| divide(Y,Y) = zero ),
inference(subst,[],[refute_0_34:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(Y,Y)))]]) ).
cnf(refute_0_288,plain,
divide(Y,Y) = zero,
inference(resolve,[$cnf( $equal(zero,divide(Y,Y)) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
( divide(Y,Y) != zero
| zero != zero
| divide(Y,Y) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(Y,Y),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_290,plain,
( zero != zero
| divide(Y,Y) = zero ),
inference(resolve,[$cnf( $equal(divide(Y,Y),zero) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
( zero != zero
| less_equal(Y,Y) ),
inference(resolve,[$cnf( $equal(divide(Y,Y),zero) )],[refute_0_290,refute_0_285]) ).
cnf(refute_0_292,plain,
less_equal(Y,Y),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_40,refute_0_291]) ).
cnf(refute_0_293,plain,
less_equal(divide(X_114,X_124),divide(X_114,X_124)),
inference(subst,[],[refute_0_292:[bind(Y,$fot(divide(X_114,X_124)))]]) ).
cnf(refute_0_294,plain,
divide(divide(X_114,X_124),X_124) = divide(X_114,X_124),
inference(resolve,[$cnf( less_equal(divide(X_114,X_124),divide(X_114,X_124)) )],[refute_0_293,refute_0_284]) ).
cnf(refute_0_295,plain,
divide(divide(X_114,X_164),X_164) = divide(X_114,X_164),
inference(subst,[],[refute_0_294:[bind(X_124,$fot(X_164))]]) ).
cnf(refute_0_296,plain,
( ~ less_equal(divide(divide(X_114,X_164),X_164),divide(divide(X_114,X_164),divide(X_164,X_162)))
| divide(divide(X_114,X_164),X_164) != divide(X_114,X_164)
| less_equal(divide(X_114,X_164),divide(divide(X_114,X_164),divide(X_164,X_162))) ),
introduced(tautology,[equality,[$cnf( less_equal(divide(divide(X_114,X_164),X_164),divide(divide(X_114,X_164),divide(X_164,X_162))) ),[0],$fot(divide(X_114,X_164))]]) ).
cnf(refute_0_297,plain,
( ~ less_equal(divide(divide(X_114,X_164),X_164),divide(divide(X_114,X_164),divide(X_164,X_162)))
| less_equal(divide(X_114,X_164),divide(divide(X_114,X_164),divide(X_164,X_162))) ),
inference(resolve,[$cnf( $equal(divide(divide(X_114,X_164),X_164),divide(X_114,X_164)) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
less_equal(divide(X_114,X_164),divide(divide(X_114,X_164),divide(X_164,X_162))),
inference(resolve,[$cnf( less_equal(divide(divide(X_114,X_164),X_164),divide(divide(X_114,X_164),divide(X_164,X_162))) )],[refute_0_185,refute_0_297]) ).
cnf(refute_0_299,plain,
less_equal(divide(X_169,X_171),divide(divide(X_169,X_171),divide(X_171,X_170))),
inference(subst,[],[refute_0_298:[bind(X_114,$fot(X_169)),bind(X_162,$fot(X_170)),bind(X_164,$fot(X_171))]]) ).
cnf(refute_0_300,plain,
divide(divide(X_169,X_171),divide(X_171,X_170)) = divide(X_169,X_171),
inference(resolve,[$cnf( less_equal(divide(X_169,X_171),divide(divide(X_169,X_171),divide(X_171,X_170))) )],[refute_0_299,refute_0_81]) ).
cnf(refute_0_301,plain,
divide(divide(identity,X_279),divide(X_279,divide(identity,X_279))) = divide(identity,X_279),
inference(subst,[],[refute_0_300:[bind(X_169,$fot(identity)),bind(X_170,$fot(divide(identity,X_279))),bind(X_171,$fot(X_279))]]) ).
cnf(refute_0_302,plain,
( divide(divide(identity,X_279),divide(X_279,divide(identity,X_279))) != divide(identity,X_279)
| divide(identity,divide(identity,divide(identity,X_279))) != divide(divide(identity,X_279),divide(X_279,divide(identity,X_279)))
| divide(identity,divide(identity,divide(identity,X_279))) = divide(identity,X_279) ),
introduced(tautology,[equality,[$cnf( $equal(divide(identity,divide(identity,divide(identity,X_279))),divide(divide(identity,X_279),divide(X_279,divide(identity,X_279)))) ),[1],$fot(divide(identity,X_279))]]) ).
cnf(refute_0_303,plain,
( divide(identity,divide(identity,divide(identity,X_279))) != divide(divide(identity,X_279),divide(X_279,divide(identity,X_279)))
| divide(identity,divide(identity,divide(identity,X_279))) = divide(identity,X_279) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,X_279),divide(X_279,divide(identity,X_279))),divide(identity,X_279)) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
divide(identity,divide(identity,divide(identity,X_279))) = divide(identity,X_279),
inference(resolve,[$cnf( $equal(divide(identity,divide(identity,divide(identity,X_279))),divide(divide(identity,X_279),divide(X_279,divide(identity,X_279)))) )],[refute_0_77,refute_0_303]) ).
cnf(refute_0_305,plain,
divide(divide(identity,X_279),divide(identity,divide(identity,X_279))) = divide(identity,divide(identity,divide(identity,X_279))),
inference(subst,[],[refute_0_60:[bind(X_277,$fot(divide(identity,X_279)))]]) ).
cnf(refute_0_306,plain,
( divide(divide(identity,X_279),divide(identity,divide(identity,X_279))) != divide(identity,divide(identity,divide(identity,X_279)))
| divide(identity,divide(identity,divide(identity,X_279))) != divide(identity,X_279)
| divide(divide(identity,X_279),divide(identity,divide(identity,X_279))) = divide(identity,X_279) ),
inference(subst,[],[refute_0_63:[bind(X0,$fot(divide(divide(identity,X_279),divide(identity,divide(identity,X_279))))),bind(Y0,$fot(divide(identity,divide(identity,divide(identity,X_279))))),bind(Z0,$fot(divide(identity,X_279)))]]) ).
cnf(refute_0_307,plain,
( divide(identity,divide(identity,divide(identity,X_279))) != divide(identity,X_279)
| divide(divide(identity,X_279),divide(identity,divide(identity,X_279))) = divide(identity,X_279) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,X_279),divide(identity,divide(identity,X_279))),divide(identity,divide(identity,divide(identity,X_279)))) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
divide(divide(identity,X_279),divide(identity,divide(identity,X_279))) = divide(identity,X_279),
inference(resolve,[$cnf( $equal(divide(identity,divide(identity,divide(identity,X_279))),divide(identity,X_279)) )],[refute_0_304,refute_0_307]) ).
cnf(refute_0_309,plain,
( divide(divide(identity,X_279),divide(identity,divide(identity,X_279))) != divide(identity,X_279)
| divide(identity,divide(X_279,divide(identity,X_279))) != divide(divide(identity,X_279),divide(identity,divide(identity,X_279)))
| divide(identity,divide(X_279,divide(identity,X_279))) = divide(identity,X_279) ),
introduced(tautology,[equality,[$cnf( $equal(divide(identity,divide(X_279,divide(identity,X_279))),divide(divide(identity,X_279),divide(identity,divide(identity,X_279)))) ),[1],$fot(divide(identity,X_279))]]) ).
cnf(refute_0_310,plain,
( divide(identity,divide(X_279,divide(identity,X_279))) != divide(divide(identity,X_279),divide(identity,divide(identity,X_279)))
| divide(identity,divide(X_279,divide(identity,X_279))) = divide(identity,X_279) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,X_279),divide(identity,divide(identity,X_279))),divide(identity,X_279)) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
divide(identity,divide(X_279,divide(identity,X_279))) = divide(identity,X_279),
inference(resolve,[$cnf( $equal(divide(identity,divide(X_279,divide(identity,X_279))),divide(divide(identity,X_279),divide(identity,divide(identity,X_279)))) )],[refute_0_74,refute_0_310]) ).
cnf(refute_0_312,plain,
divide(identity,divide(a,divide(identity,a))) = divide(identity,a),
inference(subst,[],[refute_0_311:[bind(X_279,$fot(a))]]) ).
cnf(refute_0_313,plain,
( divide(identity,divide(a,divide(identity,a))) != divide(identity,a)
| divide(identity,a) != divide(identity,a)
| divide(identity,a) = divide(identity,divide(a,divide(identity,a))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(identity,a),divide(identity,divide(a,divide(identity,a)))) ),[1],$fot(divide(identity,a))]]) ).
cnf(refute_0_314,plain,
( divide(identity,a) != divide(identity,a)
| divide(identity,a) = divide(identity,divide(a,divide(identity,a))) ),
inference(resolve,[$cnf( $equal(divide(identity,divide(a,divide(identity,a))),divide(identity,a)) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
divide(identity,a) != divide(identity,a),
inference(resolve,[$cnf( $equal(divide(identity,a),divide(identity,divide(a,divide(identity,a)))) )],[refute_0_314,refute_0_69]) ).
cnf(refute_0_316,plain,
divide(identity,a) = divide(identity,a),
introduced(tautology,[refl,[$fot(divide(identity,a))]]) ).
cnf(refute_0_317,plain,
$false,
inference(resolve,[$cnf( $equal(divide(identity,a),divide(identity,a)) )],[refute_0_316,refute_0_315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN010-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 1 13:08:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.59/0.79 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.79
% 0.59/0.79 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.59/0.82
%------------------------------------------------------------------------------