TSTP Solution File: HEN011-5 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : HEN011-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 12:58:49 EDT 2022
% Result : Unsatisfiable 23.24s 23.41s
% Output : CNFRefutation 23.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 53
% Syntax : Number of clauses : 186 ( 87 unt; 0 nHn; 94 RR)
% Number of literals : 332 ( 331 equ; 149 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 441 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_smaller_than_numerator,axiom,
divide(divide(X,Y),X) = zero ).
cnf(quotient_property,axiom,
divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) = zero ).
cnf(zero_is_smallest,axiom,
divide(zero,X) = zero ).
cnf(divide_and_equal,axiom,
( divide(X,Y) != zero
| divide(Y,X) != zero
| X = Y ) ).
cnf(x_divide_zero_is_x,axiom,
divide(X,zero) = X ).
cnf(property_of_divide1,axiom,
( divide(divide(X,Y),Z) != zero
| divide(divide(X,Z),Y) = zero ) ).
cnf(one_inversion_equals_three,axiom,
divide(identity,divide(identity,divide(identity,X))) = divide(identity,X) ).
cnf(property_of_inversion,axiom,
divide(divide(identity,X),divide(identity,divide(identity,X))) = divide(identity,X) ).
cnf(prove_this,negated_conjecture,
divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))) ).
cnf(refute_0_0,plain,
( divide(divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(identity,X_9),divide(identity,divide(identity,X)))) != zero
| divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))) != zero
| divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))) = divide(divide(identity,X_9),divide(identity,divide(identity,X))) ),
inference(subst,[],[divide_and_equal:[bind(X,$fot(divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))))),bind(Y,$fot(divide(divide(identity,X_9),divide(identity,divide(identity,X)))))]]) ).
cnf(refute_0_1,plain,
divide(divide(divide(identity,divide(identity,divide(identity,X))),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(identity,X_9),divide(identity,divide(identity,X)))) = zero,
inference(subst,[],[quotient_property:[bind(X,$fot(identity)),bind(Y,$fot(X_9)),bind(Z,$fot(divide(identity,divide(identity,X))))]]) ).
cnf(refute_0_2,plain,
( divide(divide(divide(identity,divide(identity,divide(identity,X))),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(identity,X_9),divide(identity,divide(identity,X)))) != zero
| divide(identity,divide(identity,divide(identity,X))) != divide(identity,X)
| divide(divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(identity,X_9),divide(identity,divide(identity,X)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(identity,divide(identity,divide(identity,X))),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(identity,X_9),divide(identity,divide(identity,X)))),zero) ),[0,0,0],$fot(divide(identity,X))]]) ).
cnf(refute_0_3,plain,
( divide(divide(divide(identity,divide(identity,divide(identity,X))),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(identity,X_9),divide(identity,divide(identity,X)))) != zero
| divide(divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(identity,X_9),divide(identity,divide(identity,X)))) = zero ),
inference(resolve,[$cnf( $equal(divide(identity,divide(identity,divide(identity,X))),divide(identity,X)) )],[one_inversion_equals_three,refute_0_2]) ).
cnf(refute_0_4,plain,
divide(divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(identity,X_9),divide(identity,divide(identity,X)))) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,divide(identity,divide(identity,X))),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(identity,X_9),divide(identity,divide(identity,X)))),zero) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
( divide(divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(identity,X_9),divide(identity,divide(identity,X)))) != zero
| zero != zero
| divide(divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(identity,X_9),divide(identity,divide(identity,X)))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(identity,X_9),divide(identity,divide(identity,X)))),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_6,plain,
( zero != zero
| divide(divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(identity,X_9),divide(identity,divide(identity,X)))) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(identity,X_9),divide(identity,divide(identity,X)))),zero) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))) != zero
| zero != zero
| divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))) = divide(divide(identity,X_9),divide(identity,divide(identity,X))) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(identity,X_9),divide(identity,divide(identity,X)))),zero) )],[refute_0_6,refute_0_0]) ).
cnf(refute_0_8,plain,
zero = zero,
introduced(tautology,[refl,[$fot(zero)]]) ).
cnf(refute_0_9,plain,
( divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))) != zero
| divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))) = divide(divide(identity,X_9),divide(identity,divide(identity,X))) ),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_8,refute_0_7]) ).
cnf(refute_0_10,plain,
( divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)) != zero
| divide(divide(divide(X,X_25),divide(X,Y)),divide(Y,X_25)) = zero ),
inference(subst,[],[property_of_divide1:[bind(X,$fot(divide(X,X_25))),bind(Y,$fot(divide(Y,X_25))),bind(Z,$fot(divide(X,Y)))]]) ).
cnf(refute_0_11,plain,
divide(divide(divide(X_8,X_10),divide(divide(X_10,Y),X_10)),divide(divide(X_8,divide(X_10,Y)),X_10)) = zero,
inference(subst,[],[quotient_property:[bind(X,$fot(X_8)),bind(Y,$fot(divide(X_10,Y))),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_12,plain,
divide(divide(X_10,Y),X_10) = zero,
inference(subst,[],[quotient_smaller_than_numerator:[bind(X,$fot(X_10))]]) ).
cnf(refute_0_13,plain,
( divide(divide(X_10,Y),X_10) != zero
| divide(divide(divide(X_8,X_10),divide(divide(X_10,Y),X_10)),divide(divide(X_8,divide(X_10,Y)),X_10)) != zero
| divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_8,X_10),divide(divide(X_10,Y),X_10)),divide(divide(X_8,divide(X_10,Y)),X_10)),zero) ),[0,0,1],$fot(zero)]]) ).
cnf(refute_0_14,plain,
( divide(divide(divide(X_8,X_10),divide(divide(X_10,Y),X_10)),divide(divide(X_8,divide(X_10,Y)),X_10)) != zero
| divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(X_10,Y),X_10),zero) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10)) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(X_8,X_10),divide(divide(X_10,Y),X_10)),divide(divide(X_8,divide(X_10,Y)),X_10)),zero) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
divide(divide(X_8,X_10),zero) = divide(X_8,X_10),
inference(subst,[],[x_divide_zero_is_x:[bind(X,$fot(divide(X_8,X_10)))]]) ).
cnf(refute_0_17,plain,
divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10)) = divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10)),
introduced(tautology,[refl,[$fot(divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10)))]]) ).
cnf(refute_0_18,plain,
( divide(divide(X_8,X_10),zero) != divide(X_8,X_10)
| divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10)) != divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10))
| divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10)) = divide(divide(X_8,X_10),divide(divide(X_8,divide(X_10,Y)),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10)),divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10))) ),[1,0],$fot(divide(X_8,X_10))]]) ).
cnf(refute_0_19,plain,
( divide(divide(X_8,X_10),zero) != divide(X_8,X_10)
| divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10)) = divide(divide(X_8,X_10),divide(divide(X_8,divide(X_10,Y)),X_10)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10)),divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10)) = divide(divide(X_8,X_10),divide(divide(X_8,divide(X_10,Y)),X_10)),
inference(resolve,[$cnf( $equal(divide(divide(X_8,X_10),zero),divide(X_8,X_10)) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
( divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10)) != divide(divide(X_8,X_10),divide(divide(X_8,divide(X_10,Y)),X_10))
| divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10)) != zero
| divide(divide(X_8,X_10),divide(divide(X_8,divide(X_10,Y)),X_10)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10)),zero) ),[0],$fot(divide(divide(X_8,X_10),divide(divide(X_8,divide(X_10,Y)),X_10)))]]) ).
cnf(refute_0_22,plain,
( divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10)) != zero
| divide(divide(X_8,X_10),divide(divide(X_8,divide(X_10,Y)),X_10)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10)),divide(divide(X_8,X_10),divide(divide(X_8,divide(X_10,Y)),X_10))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
divide(divide(X_8,X_10),divide(divide(X_8,divide(X_10,Y)),X_10)) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(X_8,X_10),zero),divide(divide(X_8,divide(X_10,Y)),X_10)),zero) )],[refute_0_15,refute_0_22]) ).
cnf(refute_0_24,plain,
divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(divide(X,Y),X_25)),divide(X,Y))) = zero,
inference(subst,[],[refute_0_23:[bind(Y,$fot(X_25)),bind(X_10,$fot(divide(X,Y))),bind(X_8,$fot(divide(divide(X,X_25),divide(Y,X_25))))]]) ).
cnf(refute_0_25,plain,
divide(divide(divide(X,X_25),divide(Y,X_25)),divide(divide(X,Y),X_25)) = zero,
inference(subst,[],[quotient_property:[bind(Z,$fot(X_25))]]) ).
cnf(refute_0_26,plain,
( divide(divide(divide(X,X_25),divide(Y,X_25)),divide(divide(X,Y),X_25)) != zero
| divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(divide(X,Y),X_25)),divide(X,Y))) != zero
| divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(divide(X,Y),X_25)),divide(X,Y))),zero) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_27,plain,
( divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(divide(X,Y),X_25)),divide(X,Y))) != zero
| divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(divide(X,Y),X_25)),zero) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(divide(X,Y),X_25)),divide(X,Y))),zero) )],[refute_0_24,refute_0_27]) ).
cnf(refute_0_29,plain,
divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),zero) = divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),
inference(subst,[],[x_divide_zero_is_x:[bind(X,$fot(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y))))]]) ).
cnf(refute_0_30,plain,
divide(zero,divide(X,Y)) = zero,
inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(X,Y)))]]) ).
cnf(refute_0_31,plain,
divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))) = divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))),
introduced(tautology,[refl,[$fot(divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))))]]) ).
cnf(refute_0_32,plain,
( divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))) != divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y)))
| divide(zero,divide(X,Y)) != zero
| divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))) = divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))),divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_33,plain,
( divide(zero,divide(X,Y)) != zero
| divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))) = divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))),divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y)))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))) = divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),zero),
inference(resolve,[$cnf( $equal(divide(zero,divide(X,Y)),zero) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_36,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_37,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_39,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
( divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))) != divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),zero)
| divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),zero) != divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y))
| divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))) = divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)) ),
inference(subst,[],[refute_0_39:[bind(X0,$fot(divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))))),bind(Y0,$fot(divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),zero))),bind(Z0,$fot(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y))))]]) ).
cnf(refute_0_41,plain,
( divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),zero) != divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y))
| divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))) = divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))),divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),zero)) )],[refute_0_34,refute_0_40]) ).
cnf(refute_0_42,plain,
divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))) = divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),zero),divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y))) )],[refute_0_29,refute_0_41]) ).
cnf(refute_0_43,plain,
( divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))) != divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y))
| divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))) != zero
| divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))),zero) ),[0],$fot(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)))]]) ).
cnf(refute_0_44,plain,
( divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))) != zero
| divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))),divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),divide(zero,divide(X,Y))),zero) )],[refute_0_28,refute_0_44]) ).
cnf(refute_0_46,plain,
( divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)) != zero
| zero != zero
| divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_47,plain,
( zero != zero
| divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),zero) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( zero != zero
| divide(divide(divide(X,X_25),divide(X,Y)),divide(Y,X_25)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X,X_25),divide(Y,X_25)),divide(X,Y)),zero) )],[refute_0_47,refute_0_10]) ).
cnf(refute_0_49,plain,
divide(divide(divide(X,X_25),divide(X,Y)),divide(Y,X_25)) = zero,
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_8,refute_0_48]) ).
cnf(refute_0_50,plain,
divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),X_9)) = zero,
inference(subst,[],[refute_0_49:[bind(X,$fot(identity)),bind(Y,$fot(divide(identity,X))),bind(X_25,$fot(X_9))]]) ).
cnf(refute_0_51,plain,
( divide(divide(divide(identity,X_88),X_89),divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88))))) != zero
| divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)) != zero
| divide(divide(identity,X_88),X_89) = divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))) ),
inference(subst,[],[divide_and_equal:[bind(X,$fot(divide(divide(identity,X_88),X_89))),bind(Y,$fot(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88))))))]]) ).
cnf(refute_0_52,plain,
divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(divide(divide(X_27,Y),divide(divide(X_27,divide(Y,X_25)),Y)),divide(X_27,divide(Y,X_25)))) = zero,
inference(subst,[],[refute_0_23:[bind(X_10,$fot(divide(X_27,divide(Y,X_25)))),bind(X_8,$fot(divide(X_27,Y)))]]) ).
cnf(refute_0_53,plain,
divide(divide(X_27,Y),divide(divide(X_27,divide(Y,X_25)),Y)) = zero,
inference(subst,[],[refute_0_23:[bind(Y,$fot(X_25)),bind(X_10,$fot(Y)),bind(X_8,$fot(X_27))]]) ).
cnf(refute_0_54,plain,
( divide(divide(X_27,Y),divide(divide(X_27,divide(Y,X_25)),Y)) != zero
| divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(divide(divide(X_27,Y),divide(divide(X_27,divide(Y,X_25)),Y)),divide(X_27,divide(Y,X_25)))) != zero
| divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(divide(divide(X_27,Y),divide(divide(X_27,divide(Y,X_25)),Y)),divide(X_27,divide(Y,X_25)))),zero) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_55,plain,
( divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(divide(divide(X_27,Y),divide(divide(X_27,divide(Y,X_25)),Y)),divide(X_27,divide(Y,X_25)))) != zero
| divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(X_27,Y),divide(divide(X_27,divide(Y,X_25)),Y)),zero) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(divide(divide(X_27,Y),divide(divide(X_27,divide(Y,X_25)),Y)),divide(X_27,divide(Y,X_25)))),zero) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),zero) = divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),
inference(subst,[],[x_divide_zero_is_x:[bind(X,$fot(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25)))))]]) ).
cnf(refute_0_58,plain,
divide(zero,divide(X_27,divide(Y,X_25))) = zero,
inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(X_27,divide(Y,X_25))))]]) ).
cnf(refute_0_59,plain,
divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))) = divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))),
introduced(tautology,[refl,[$fot(divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))))]]) ).
cnf(refute_0_60,plain,
( divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))) != divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25))))
| divide(zero,divide(X_27,divide(Y,X_25))) != zero
| divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))) = divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))),divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_61,plain,
( divide(zero,divide(X_27,divide(Y,X_25))) != zero
| divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))) = divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))),divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25))))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))) = divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),zero),
inference(resolve,[$cnf( $equal(divide(zero,divide(X_27,divide(Y,X_25))),zero) )],[refute_0_58,refute_0_61]) ).
cnf(refute_0_63,plain,
( divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))) != divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),zero)
| divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),zero) != divide(divide(X_27,Y),divide(X_27,divide(Y,X_25)))
| divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))) = divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))) ),
inference(subst,[],[refute_0_39:[bind(X0,$fot(divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))))),bind(Y0,$fot(divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),zero))),bind(Z0,$fot(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25)))))]]) ).
cnf(refute_0_64,plain,
( divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),zero) != divide(divide(X_27,Y),divide(X_27,divide(Y,X_25)))
| divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))) = divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))),divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),zero)) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))) = divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),zero),divide(divide(X_27,Y),divide(X_27,divide(Y,X_25)))) )],[refute_0_57,refute_0_64]) ).
cnf(refute_0_66,plain,
( divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))) != divide(divide(X_27,Y),divide(X_27,divide(Y,X_25)))
| divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))) != zero
| divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))),zero) ),[0],$fot(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))))]]) ).
cnf(refute_0_67,plain,
( divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))) != zero
| divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))),divide(divide(X_27,Y),divide(X_27,divide(Y,X_25)))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(X_27,Y),divide(X_27,divide(Y,X_25))),divide(zero,divide(X_27,divide(Y,X_25)))),zero) )],[refute_0_56,refute_0_67]) ).
cnf(refute_0_69,plain,
divide(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)),divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(divide(identity,X_88),X_89),divide(identity,divide(identity,X_88))))) = zero,
inference(subst,[],[refute_0_68:[bind(Y,$fot(divide(divide(identity,X_88),X_89))),bind(X_25,$fot(divide(identity,divide(identity,X_88)))),bind(X_27,$fot(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88))))))]]) ).
cnf(refute_0_70,plain,
divide(divide(divide(divide(identity,X),divide(identity,divide(identity,X))),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(divide(identity,X),X_9),divide(identity,divide(identity,X)))) = zero,
inference(subst,[],[quotient_property:[bind(X,$fot(divide(identity,X))),bind(Y,$fot(X_9)),bind(Z,$fot(divide(identity,divide(identity,X))))]]) ).
cnf(refute_0_71,plain,
( divide(divide(divide(divide(identity,X),divide(identity,divide(identity,X))),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(divide(identity,X),X_9),divide(identity,divide(identity,X)))) != zero
| divide(divide(identity,X),divide(identity,divide(identity,X))) != divide(identity,X)
| divide(divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(divide(identity,X),X_9),divide(identity,divide(identity,X)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(identity,X),divide(identity,divide(identity,X))),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(divide(identity,X),X_9),divide(identity,divide(identity,X)))),zero) ),[0,0,0],$fot(divide(identity,X))]]) ).
cnf(refute_0_72,plain,
( divide(divide(divide(divide(identity,X),divide(identity,divide(identity,X))),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(divide(identity,X),X_9),divide(identity,divide(identity,X)))) != zero
| divide(divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(divide(identity,X),X_9),divide(identity,divide(identity,X)))) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(identity,X),divide(identity,divide(identity,X))),divide(identity,X)) )],[property_of_inversion,refute_0_71]) ).
cnf(refute_0_73,plain,
divide(divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(divide(identity,X),X_9),divide(identity,divide(identity,X)))) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(identity,X),divide(identity,divide(identity,X))),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(divide(identity,X),X_9),divide(identity,divide(identity,X)))),zero) )],[refute_0_70,refute_0_72]) ).
cnf(refute_0_74,plain,
divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(divide(identity,X_88),X_89),divide(identity,divide(identity,X_88)))) = zero,
inference(subst,[],[refute_0_73:[bind(X,$fot(X_88)),bind(X_9,$fot(X_89))]]) ).
cnf(refute_0_75,plain,
( divide(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)),divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(divide(identity,X_88),X_89),divide(identity,divide(identity,X_88))))) != zero
| divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(divide(identity,X_88),X_89),divide(identity,divide(identity,X_88)))) != zero
| divide(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)),zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)),divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(divide(identity,X_88),X_89),divide(identity,divide(identity,X_88))))),zero) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_76,plain,
( divide(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)),divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(divide(identity,X_88),X_89),divide(identity,divide(identity,X_88))))) != zero
| divide(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(divide(identity,X_88),X_89),divide(identity,divide(identity,X_88)))),zero) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
divide(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)),zero) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)),divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(divide(identity,X_88),X_89),divide(identity,divide(identity,X_88))))),zero) )],[refute_0_69,refute_0_76]) ).
cnf(refute_0_78,plain,
divide(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)),zero) = divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)),
inference(subst,[],[x_divide_zero_is_x:[bind(X,$fot(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89))))]]) ).
cnf(refute_0_79,plain,
( divide(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)),zero) != divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89))
| divide(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)),zero) != zero
| divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)),zero),zero) ),[0],$fot(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)))]]) ).
cnf(refute_0_80,plain,
( divide(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)),zero) != zero
| divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)),zero),divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)),zero),zero) )],[refute_0_77,refute_0_80]) ).
cnf(refute_0_82,plain,
( divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)) != zero
| zero != zero
| divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_83,plain,
( zero != zero
| divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)),zero) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
( divide(divide(divide(identity,X_88),X_89),divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88))))) != zero
| zero != zero
| divide(divide(identity,X_88),X_89) = divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),divide(divide(identity,X_88),X_89)),zero) )],[refute_0_83,refute_0_51]) ).
cnf(refute_0_85,plain,
( divide(divide(divide(identity,X_88),X_89),divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88))))) != zero
| divide(divide(identity,X_88),X_89) = divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))) ),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_8,refute_0_84]) ).
cnf(refute_0_86,plain,
divide(divide(divide(identity,X_88),X_89),divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88))))) = zero,
inference(subst,[],[refute_0_68:[bind(Y,$fot(X_89)),bind(X_25,$fot(divide(identity,divide(identity,X_88)))),bind(X_27,$fot(divide(identity,X_88)))]]) ).
cnf(refute_0_87,plain,
( divide(divide(divide(identity,X_88),X_89),divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88))))) != zero
| zero != zero
| divide(divide(divide(identity,X_88),X_89),divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88))))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(identity,X_88),X_89),divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88))))),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_88,plain,
( zero != zero
| divide(divide(divide(identity,X_88),X_89),divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88))))) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,X_88),X_89),divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88))))),zero) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
( zero != zero
| divide(divide(identity,X_88),X_89) = divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,X_88),X_89),divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88))))),zero) )],[refute_0_88,refute_0_85]) ).
cnf(refute_0_90,plain,
divide(divide(identity,X_88),X_89) = divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_8,refute_0_89]) ).
cnf(refute_0_91,plain,
( divide(divide(identity,X_88),X_89) != divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88))))
| divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))) = divide(divide(identity,X_88),X_89) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(divide(divide(identity,X_88),X_89))),bind(Y0,$fot(divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88))))))]]) ).
cnf(refute_0_92,plain,
divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88)))) = divide(divide(identity,X_88),X_89),
inference(resolve,[$cnf( $equal(divide(divide(identity,X_88),X_89),divide(divide(identity,X_88),divide(X_89,divide(identity,divide(identity,X_88))))) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))) = divide(divide(identity,X),X_9),
inference(subst,[],[refute_0_92:[bind(X_88,$fot(X)),bind(X_89,$fot(X_9))]]) ).
cnf(refute_0_94,plain,
divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))) = divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))),
introduced(tautology,[refl,[$fot(divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))))]]) ).
cnf(refute_0_95,plain,
( divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))) != divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))))
| divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))) != divide(divide(identity,X),X_9)
| divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))) = divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))),divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))))) ),[1,1],$fot(divide(divide(identity,X),X_9))]]) ).
cnf(refute_0_96,plain,
( divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))) != divide(divide(identity,X),X_9)
| divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))) = divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),X_9)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))),divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))) = divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),X_9)),
inference(resolve,[$cnf( $equal(divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(identity,X),X_9)) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
( divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),X_9)) != zero
| divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))) != divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),X_9))
| divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))) = zero ),
inference(subst,[],[refute_0_39:[bind(X0,$fot(divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))))),bind(Y0,$fot(divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),X_9)))),bind(Z0,$fot(zero))]]) ).
cnf(refute_0_99,plain,
( divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),X_9)) != zero
| divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))),divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),X_9))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),X_9)),zero) )],[refute_0_50,refute_0_99]) ).
cnf(refute_0_101,plain,
( divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))) != zero
| zero != zero
| divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_102,plain,
( zero != zero
| divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))),zero) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
( zero != zero
| divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))) = divide(divide(identity,X_9),divide(identity,divide(identity,X))) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(identity,X_9),divide(identity,divide(identity,X))),divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X))))),zero) )],[refute_0_102,refute_0_9]) ).
cnf(refute_0_104,plain,
( divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))) != divide(divide(identity,X),X_9)
| divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))) != divide(divide(identity,X_9),divide(identity,divide(identity,X)))
| divide(divide(identity,X),X_9) = divide(divide(identity,X_9),divide(identity,divide(identity,X))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(identity,X_9),divide(identity,divide(identity,X)))) ),[0],$fot(divide(divide(identity,X),X_9))]]) ).
cnf(refute_0_105,plain,
( divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))) != divide(divide(identity,X_9),divide(identity,divide(identity,X)))
| divide(divide(identity,X),X_9) = divide(divide(identity,X_9),divide(identity,divide(identity,X))) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(identity,X),X_9)) )],[refute_0_93,refute_0_104]) ).
cnf(refute_0_106,plain,
( zero != zero
| divide(divide(identity,X),X_9) = divide(divide(identity,X_9),divide(identity,divide(identity,X))) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,X),divide(X_9,divide(identity,divide(identity,X)))),divide(divide(identity,X_9),divide(identity,divide(identity,X)))) )],[refute_0_103,refute_0_105]) ).
cnf(refute_0_107,plain,
divide(divide(identity,X),X_9) = divide(divide(identity,X_9),divide(identity,divide(identity,X))),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_8,refute_0_106]) ).
cnf(refute_0_108,plain,
( divide(divide(identity,X),X_9) != divide(divide(identity,X_9),divide(identity,divide(identity,X)))
| divide(divide(identity,X_9),divide(identity,divide(identity,X))) = divide(divide(identity,X),X_9) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(divide(divide(identity,X),X_9))),bind(Y0,$fot(divide(divide(identity,X_9),divide(identity,divide(identity,X)))))]]) ).
cnf(refute_0_109,plain,
divide(divide(identity,X_9),divide(identity,divide(identity,X))) = divide(divide(identity,X),X_9),
inference(resolve,[$cnf( $equal(divide(divide(identity,X),X_9),divide(divide(identity,X_9),divide(identity,divide(identity,X)))) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
divide(divide(identity,a),divide(identity,divide(identity,b))) = divide(divide(identity,b),a),
inference(subst,[],[refute_0_109:[bind(X,$fot(b)),bind(X_9,$fot(a))]]) ).
cnf(refute_0_111,plain,
( divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),a)
| divide(divide(identity,b),a) != divide(divide(identity,b),divide(identity,divide(identity,a)))
| divide(divide(identity,a),divide(identity,divide(identity,b))) = divide(divide(identity,b),divide(identity,divide(identity,a))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a)))) ),[0],$fot(divide(divide(identity,b),a))]]) ).
cnf(refute_0_112,plain,
( divide(divide(identity,b),a) != divide(divide(identity,b),divide(identity,divide(identity,a)))
| divide(divide(identity,a),divide(identity,divide(identity,b))) = divide(divide(identity,b),divide(identity,divide(identity,a))) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),a)) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
divide(divide(identity,b),divide(identity,divide(identity,a))) = divide(divide(identity,a),b),
inference(subst,[],[refute_0_109:[bind(X,$fot(a)),bind(X_9,$fot(b))]]) ).
cnf(refute_0_114,plain,
( divide(divide(identity,b),divide(identity,divide(identity,a))) != divide(divide(identity,a),b)
| divide(divide(identity,b),a) != divide(divide(identity,a),b)
| divide(divide(identity,b),a) = divide(divide(identity,b),divide(identity,divide(identity,a))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(identity,b),a),divide(divide(identity,b),divide(identity,divide(identity,a)))) ),[1],$fot(divide(divide(identity,a),b))]]) ).
cnf(refute_0_115,plain,
( divide(divide(identity,b),a) != divide(divide(identity,a),b)
| divide(divide(identity,b),a) = divide(divide(identity,b),divide(identity,divide(identity,a))) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),b)) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
( divide(divide(identity,b),a) != divide(divide(identity,a),b)
| divide(divide(identity,a),divide(identity,divide(identity,b))) = divide(divide(identity,b),divide(identity,divide(identity,a))) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,b),a),divide(divide(identity,b),divide(identity,divide(identity,a)))) )],[refute_0_115,refute_0_112]) ).
cnf(refute_0_117,plain,
divide(divide(identity,b),a) != divide(divide(identity,a),b),
inference(resolve,[$cnf( $equal(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a)))) )],[refute_0_116,prove_this]) ).
cnf(refute_0_118,plain,
( divide(divide(divide(X_616,X_615),X_617),divide(divide(X_616,X_617),X_615)) != zero
| divide(divide(divide(X_616,X_617),X_615),divide(divide(X_616,X_615),X_617)) != zero
| divide(divide(X_616,X_617),X_615) = divide(divide(X_616,X_615),X_617) ),
inference(subst,[],[divide_and_equal:[bind(X,$fot(divide(divide(X_616,X_617),X_615))),bind(Y,$fot(divide(divide(X_616,X_615),X_617)))]]) ).
cnf(refute_0_119,plain,
divide(divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y),divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),divide(Y,X_25))) = zero,
inference(subst,[],[refute_0_68:[bind(X_27,$fot(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25))))]]) ).
cnf(refute_0_120,plain,
divide(divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121)),divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(divide(X_123,X_121),divide(divide(X_122,X_123),X_121)))) = zero,
inference(subst,[],[refute_0_68:[bind(Y,$fot(divide(X_123,X_121))),bind(X_25,$fot(divide(divide(X_122,X_123),X_121))),bind(X_27,$fot(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121))))]]) ).
cnf(refute_0_121,plain,
divide(divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10))),divide(divide(divide(X_8,X_10),divide(X_9,X_10)),divide(divide(X_8,X_9),X_10))) = zero,
inference(subst,[],[quotient_property:[bind(X,$fot(divide(X_8,X_10))),bind(Y,$fot(divide(X_9,X_10))),bind(Z,$fot(divide(divide(X_8,X_9),X_10)))]]) ).
cnf(refute_0_122,plain,
divide(divide(divide(X_8,X_10),divide(X_9,X_10)),divide(divide(X_8,X_9),X_10)) = zero,
inference(subst,[],[quotient_property:[bind(X,$fot(X_8)),bind(Y,$fot(X_9)),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_123,plain,
( divide(divide(divide(X_8,X_10),divide(X_9,X_10)),divide(divide(X_8,X_9),X_10)) != zero
| divide(divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10))),divide(divide(divide(X_8,X_10),divide(X_9,X_10)),divide(divide(X_8,X_9),X_10))) != zero
| divide(divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10))),zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10))),divide(divide(divide(X_8,X_10),divide(X_9,X_10)),divide(divide(X_8,X_9),X_10))),zero) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_124,plain,
( divide(divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10))),divide(divide(divide(X_8,X_10),divide(X_9,X_10)),divide(divide(X_8,X_9),X_10))) != zero
| divide(divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10))),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_8,X_10),divide(X_9,X_10)),divide(divide(X_8,X_9),X_10)),zero) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
divide(divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10))),zero) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10))),divide(divide(divide(X_8,X_10),divide(X_9,X_10)),divide(divide(X_8,X_9),X_10))),zero) )],[refute_0_121,refute_0_124]) ).
cnf(refute_0_126,plain,
divide(divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10))),zero) = divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10))),
inference(subst,[],[x_divide_zero_is_x:[bind(X,$fot(divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10)))))]]) ).
cnf(refute_0_127,plain,
( divide(divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10))),zero) != divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10)))
| divide(divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10))),zero) != zero
| divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10))),zero),zero) ),[0],$fot(divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10))))]]) ).
cnf(refute_0_128,plain,
( divide(divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10))),zero) != zero
| divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10))) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10))),zero),divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10)))) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10))) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_8,X_10),divide(divide(X_8,X_9),X_10)),divide(divide(X_9,X_10),divide(divide(X_8,X_9),X_10))),zero),zero) )],[refute_0_125,refute_0_128]) ).
cnf(refute_0_130,plain,
divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(divide(X_123,X_121),divide(divide(X_122,X_123),X_121))) = zero,
inference(subst,[],[refute_0_129:[bind(X_10,$fot(X_121)),bind(X_8,$fot(X_122)),bind(X_9,$fot(X_123))]]) ).
cnf(refute_0_131,plain,
( divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(divide(X_123,X_121),divide(divide(X_122,X_123),X_121))) != zero
| divide(divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121)),divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(divide(X_123,X_121),divide(divide(X_122,X_123),X_121)))) != zero
| divide(divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121)),zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121)),divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(divide(X_123,X_121),divide(divide(X_122,X_123),X_121)))),zero) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_132,plain,
( divide(divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121)),divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(divide(X_123,X_121),divide(divide(X_122,X_123),X_121)))) != zero
| divide(divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121)),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(divide(X_123,X_121),divide(divide(X_122,X_123),X_121))),zero) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
divide(divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121)),zero) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121)),divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(divide(X_123,X_121),divide(divide(X_122,X_123),X_121)))),zero) )],[refute_0_120,refute_0_132]) ).
cnf(refute_0_134,plain,
divide(divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121)),zero) = divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121)),
inference(subst,[],[x_divide_zero_is_x:[bind(X,$fot(divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121))))]]) ).
cnf(refute_0_135,plain,
( divide(divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121)),zero) != divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121))
| divide(divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121)),zero) != zero
| divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121)),zero),zero) ),[0],$fot(divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121)))]]) ).
cnf(refute_0_136,plain,
( divide(divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121)),zero) != zero
| divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121)),zero),divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121))) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121)) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_122,X_121),divide(divide(X_122,X_123),X_121)),divide(X_123,X_121)),zero),zero) )],[refute_0_133,refute_0_136]) ).
cnf(refute_0_138,plain,
divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),divide(Y,X_25)) = zero,
inference(subst,[],[refute_0_137:[bind(X_121,$fot(X_25)),bind(X_122,$fot(X_125)),bind(X_123,$fot(Y))]]) ).
cnf(refute_0_139,plain,
( divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),divide(Y,X_25)) != zero
| divide(divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y),divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),divide(Y,X_25))) != zero
| divide(divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y),zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y),divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),divide(Y,X_25))),zero) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_140,plain,
( divide(divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y),divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),divide(Y,X_25))) != zero
| divide(divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),divide(Y,X_25)),zero) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
divide(divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y),zero) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y),divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),divide(Y,X_25))),zero) )],[refute_0_119,refute_0_140]) ).
cnf(refute_0_142,plain,
divide(divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y),zero) = divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y),
inference(subst,[],[x_divide_zero_is_x:[bind(X,$fot(divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y)))]]) ).
cnf(refute_0_143,plain,
( divide(divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y),zero) != divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y)
| divide(divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y),zero) != zero
| divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y),zero),zero) ),[0],$fot(divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y))]]) ).
cnf(refute_0_144,plain,
( divide(divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y),zero) != zero
| divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y),zero),divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_125,X_25),divide(divide(X_125,Y),X_25)),Y),zero),zero) )],[refute_0_141,refute_0_144]) ).
cnf(refute_0_146,plain,
divide(divide(divide(divide(X_493,X_494),X_25),divide(divide(divide(X_493,X_494),divide(divide(X_493,X_25),X_494)),X_25)),divide(divide(X_493,X_25),X_494)) = zero,
inference(subst,[],[refute_0_145:[bind(Y,$fot(divide(divide(X_493,X_25),X_494))),bind(X_125,$fot(divide(X_493,X_494)))]]) ).
cnf(refute_0_147,plain,
divide(divide(divide(X_493,X_494),divide(divide(X_493,X_25),X_494)),X_25) = zero,
inference(subst,[],[refute_0_145:[bind(Y,$fot(X_25)),bind(X_125,$fot(X_493)),bind(X_25,$fot(X_494))]]) ).
cnf(refute_0_148,plain,
( divide(divide(divide(X_493,X_494),divide(divide(X_493,X_25),X_494)),X_25) != zero
| divide(divide(divide(divide(X_493,X_494),X_25),divide(divide(divide(X_493,X_494),divide(divide(X_493,X_25),X_494)),X_25)),divide(divide(X_493,X_25),X_494)) != zero
| divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X_493,X_494),X_25),divide(divide(divide(X_493,X_494),divide(divide(X_493,X_25),X_494)),X_25)),divide(divide(X_493,X_25),X_494)),zero) ),[0,0,1],$fot(zero)]]) ).
cnf(refute_0_149,plain,
( divide(divide(divide(divide(X_493,X_494),X_25),divide(divide(divide(X_493,X_494),divide(divide(X_493,X_25),X_494)),X_25)),divide(divide(X_493,X_25),X_494)) != zero
| divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_493,X_494),divide(divide(X_493,X_25),X_494)),X_25),zero) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494)) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_493,X_494),X_25),divide(divide(divide(X_493,X_494),divide(divide(X_493,X_25),X_494)),X_25)),divide(divide(X_493,X_25),X_494)),zero) )],[refute_0_146,refute_0_149]) ).
cnf(refute_0_151,plain,
divide(divide(divide(X_493,X_494),X_25),zero) = divide(divide(X_493,X_494),X_25),
inference(subst,[],[x_divide_zero_is_x:[bind(X,$fot(divide(divide(X_493,X_494),X_25)))]]) ).
cnf(refute_0_152,plain,
divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494)) = divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494)),
introduced(tautology,[refl,[$fot(divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494)))]]) ).
cnf(refute_0_153,plain,
( divide(divide(divide(X_493,X_494),X_25),zero) != divide(divide(X_493,X_494),X_25)
| divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494)) != divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494))
| divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494)) = divide(divide(divide(X_493,X_494),X_25),divide(divide(X_493,X_25),X_494)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494)),divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494))) ),[1,0],$fot(divide(divide(X_493,X_494),X_25))]]) ).
cnf(refute_0_154,plain,
( divide(divide(divide(X_493,X_494),X_25),zero) != divide(divide(X_493,X_494),X_25)
| divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494)) = divide(divide(divide(X_493,X_494),X_25),divide(divide(X_493,X_25),X_494)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494)),divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494))) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494)) = divide(divide(divide(X_493,X_494),X_25),divide(divide(X_493,X_25),X_494)),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_494),X_25)) )],[refute_0_151,refute_0_154]) ).
cnf(refute_0_156,plain,
( divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494)) != divide(divide(divide(X_493,X_494),X_25),divide(divide(X_493,X_25),X_494))
| divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494)) != zero
| divide(divide(divide(X_493,X_494),X_25),divide(divide(X_493,X_25),X_494)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494)),zero) ),[0],$fot(divide(divide(divide(X_493,X_494),X_25),divide(divide(X_493,X_25),X_494)))]]) ).
cnf(refute_0_157,plain,
( divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494)) != zero
| divide(divide(divide(X_493,X_494),X_25),divide(divide(X_493,X_25),X_494)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494)),divide(divide(divide(X_493,X_494),X_25),divide(divide(X_493,X_25),X_494))) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
divide(divide(divide(X_493,X_494),X_25),divide(divide(X_493,X_25),X_494)) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_493,X_494),X_25),zero),divide(divide(X_493,X_25),X_494)),zero) )],[refute_0_150,refute_0_157]) ).
cnf(refute_0_159,plain,
divide(divide(divide(X_616,X_617),X_615),divide(divide(X_616,X_615),X_617)) = zero,
inference(subst,[],[refute_0_158:[bind(X_25,$fot(X_615)),bind(X_493,$fot(X_616)),bind(X_494,$fot(X_617))]]) ).
cnf(refute_0_160,plain,
( divide(divide(divide(X_616,X_617),X_615),divide(divide(X_616,X_615),X_617)) != zero
| zero != zero
| divide(divide(divide(X_616,X_617),X_615),divide(divide(X_616,X_615),X_617)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(X_616,X_617),X_615),divide(divide(X_616,X_615),X_617)),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_161,plain,
( zero != zero
| divide(divide(divide(X_616,X_617),X_615),divide(divide(X_616,X_615),X_617)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_616,X_617),X_615),divide(divide(X_616,X_615),X_617)),zero) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
( divide(divide(divide(X_616,X_615),X_617),divide(divide(X_616,X_617),X_615)) != zero
| zero != zero
| divide(divide(X_616,X_617),X_615) = divide(divide(X_616,X_615),X_617) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_616,X_617),X_615),divide(divide(X_616,X_615),X_617)),zero) )],[refute_0_161,refute_0_118]) ).
cnf(refute_0_163,plain,
( divide(divide(divide(X_616,X_615),X_617),divide(divide(X_616,X_617),X_615)) != zero
| divide(divide(X_616,X_617),X_615) = divide(divide(X_616,X_615),X_617) ),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_8,refute_0_162]) ).
cnf(refute_0_164,plain,
divide(divide(divide(X_616,X_615),X_617),divide(divide(X_616,X_617),X_615)) = zero,
inference(subst,[],[refute_0_158:[bind(X_25,$fot(X_617)),bind(X_493,$fot(X_616)),bind(X_494,$fot(X_615))]]) ).
cnf(refute_0_165,plain,
( divide(divide(divide(X_616,X_615),X_617),divide(divide(X_616,X_617),X_615)) != zero
| zero != zero
| divide(divide(divide(X_616,X_615),X_617),divide(divide(X_616,X_617),X_615)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(X_616,X_615),X_617),divide(divide(X_616,X_617),X_615)),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_166,plain,
( zero != zero
| divide(divide(divide(X_616,X_615),X_617),divide(divide(X_616,X_617),X_615)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_616,X_615),X_617),divide(divide(X_616,X_617),X_615)),zero) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
( zero != zero
| divide(divide(X_616,X_617),X_615) = divide(divide(X_616,X_615),X_617) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_616,X_615),X_617),divide(divide(X_616,X_617),X_615)),zero) )],[refute_0_166,refute_0_163]) ).
cnf(refute_0_168,plain,
divide(divide(X_616,X_617),X_615) = divide(divide(X_616,X_615),X_617),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_8,refute_0_167]) ).
cnf(refute_0_169,plain,
( divide(divide(X_616,X_617),X_615) != divide(divide(X_616,X_615),X_617)
| divide(divide(X_616,X_615),X_617) = divide(divide(X_616,X_617),X_615) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(divide(divide(X_616,X_617),X_615))),bind(Y0,$fot(divide(divide(X_616,X_615),X_617)))]]) ).
cnf(refute_0_170,plain,
divide(divide(X_616,X_615),X_617) = divide(divide(X_616,X_617),X_615),
inference(resolve,[$cnf( $equal(divide(divide(X_616,X_617),X_615),divide(divide(X_616,X_615),X_617)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
divide(divide(identity,b),a) = divide(divide(identity,a),b),
inference(subst,[],[refute_0_170:[bind(X_615,$fot(b)),bind(X_616,$fot(identity)),bind(X_617,$fot(a))]]) ).
cnf(refute_0_172,plain,
( divide(divide(identity,a),b) != divide(divide(identity,a),b)
| divide(divide(identity,b),a) != divide(divide(identity,a),b)
| divide(divide(identity,b),a) = divide(divide(identity,a),b) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,b),a),divide(divide(identity,a),b)) ),[1],$fot(divide(divide(identity,a),b))]]) ).
cnf(refute_0_173,plain,
( divide(divide(identity,a),b) != divide(divide(identity,a),b)
| divide(divide(identity,b),a) = divide(divide(identity,a),b) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,b),a),divide(divide(identity,a),b)) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
divide(divide(identity,a),b) != divide(divide(identity,a),b),
inference(resolve,[$cnf( $equal(divide(divide(identity,b),a),divide(divide(identity,a),b)) )],[refute_0_173,refute_0_117]) ).
cnf(refute_0_175,plain,
divide(divide(identity,a),b) = divide(divide(identity,a),b),
introduced(tautology,[refl,[$fot(divide(divide(identity,a),b))]]) ).
cnf(refute_0_176,plain,
$false,
inference(resolve,[$cnf( $equal(divide(divide(identity,a),b),divide(divide(identity,a),b)) )],[refute_0_175,refute_0_174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN011-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 1 13:49:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 23.24/23.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.24/23.41
% 23.24/23.41 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 23.24/23.42
%------------------------------------------------------------------------------