TSTP Solution File: HEN007-5 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : HEN007-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 12:58:39 EDT 2022
% Result : Unsatisfiable 0.85s 1.04s
% Output : CNFRefutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 34
% Syntax : Number of clauses : 119 ( 50 unt; 0 nHn; 60 RR)
% Number of literals : 222 ( 221 equ; 105 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 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 : 170 ( 8 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(a_divide_b_is_zero,hypothesis,
divide(a,b) = zero ).
cnf(prove_property_of_divide2,negated_conjecture,
divide(divide(c,b),divide(c,a)) != zero ).
cnf(refute_0_0,plain,
( divide(divide(divide(X_143,b),divide(X_143,a)),zero) != zero
| divide(zero,divide(divide(X_143,b),divide(X_143,a))) != zero
| divide(divide(X_143,b),divide(X_143,a)) = zero ),
inference(subst,[],[divide_and_equal:[bind(X,$fot(divide(divide(X_143,b),divide(X_143,a)))),bind(Y,$fot(zero))]]) ).
cnf(refute_0_1,plain,
( divide(divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138)),zero) != zero
| divide(zero,divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138))) != zero
| divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138)) = zero ),
inference(subst,[],[divide_and_equal:[bind(X,$fot(divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138)))),bind(Y,$fot(zero))]]) ).
cnf(refute_0_2,plain,
( divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero),zero) != zero
| divide(zero,divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero)) != zero
| zero = divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero) ),
inference(subst,[],[divide_and_equal:[bind(X,$fot(zero)),bind(Y,$fot(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero)))]]) ).
cnf(refute_0_3,plain,
divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),divide(divide(divide(X_14,X_15),zero),divide(divide(X_14,zero),X_15))) = zero,
inference(subst,[],[quotient_property:[bind(X,$fot(divide(X_14,X_15))),bind(Y,$fot(zero)),bind(Z,$fot(divide(divide(X_14,zero),X_15)))]]) ).
cnf(refute_0_4,plain,
divide(divide(divide(X_4,X_6),divide(zero,X_6)),divide(divide(X_4,zero),X_6)) = zero,
inference(subst,[],[quotient_property:[bind(X,$fot(X_4)),bind(Y,$fot(zero)),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_5,plain,
divide(zero,X_6) = zero,
inference(subst,[],[zero_is_smallest:[bind(X,$fot(X_6))]]) ).
cnf(refute_0_6,plain,
( divide(divide(divide(X_4,X_6),divide(zero,X_6)),divide(divide(X_4,zero),X_6)) != zero
| divide(zero,X_6) != zero
| divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,zero),X_6)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_4,X_6),divide(zero,X_6)),divide(divide(X_4,zero),X_6)),zero) ),[0,0,1],$fot(zero)]]) ).
cnf(refute_0_7,plain,
( divide(divide(divide(X_4,X_6),divide(zero,X_6)),divide(divide(X_4,zero),X_6)) != zero
| divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,zero),X_6)) = zero ),
inference(resolve,[$cnf( $equal(divide(zero,X_6),zero) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,zero),X_6)) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(X_4,X_6),divide(zero,X_6)),divide(divide(X_4,zero),X_6)),zero) )],[refute_0_4,refute_0_7]) ).
cnf(refute_0_9,plain,
divide(divide(divide(X_14,X_15),zero),divide(divide(X_14,zero),X_15)) = zero,
inference(subst,[],[refute_0_8:[bind(X_4,$fot(X_14)),bind(X_6,$fot(X_15))]]) ).
cnf(refute_0_10,plain,
( divide(divide(divide(X_14,X_15),zero),divide(divide(X_14,zero),X_15)) != zero
| divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),divide(divide(divide(X_14,X_15),zero),divide(divide(X_14,zero),X_15))) != zero
| divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),divide(divide(divide(X_14,X_15),zero),divide(divide(X_14,zero),X_15))),zero) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_11,plain,
( divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),divide(divide(divide(X_14,X_15),zero),divide(divide(X_14,zero),X_15))) != zero
| divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_14,X_15),zero),divide(divide(X_14,zero),X_15)),zero) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),divide(divide(divide(X_14,X_15),zero),divide(divide(X_14,zero),X_15))),zero) )],[refute_0_3,refute_0_11]) ).
cnf(refute_0_13,plain,
divide(zero,divide(divide(X_14,zero),X_15)) = zero,
inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(divide(X_14,zero),X_15)))]]) ).
cnf(refute_0_14,plain,
divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))) = divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),
introduced(tautology,[refl,[$fot(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))))]]) ).
cnf(refute_0_15,plain,
( divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))) != divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15)))
| divide(zero,divide(divide(X_14,zero),X_15)) != zero
| divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))) = divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_16,plain,
( divide(zero,divide(divide(X_14,zero),X_15)) != zero
| divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))) = divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15)))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))) = divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero),
inference(resolve,[$cnf( $equal(divide(zero,divide(divide(X_14,zero),X_15)),zero) )],[refute_0_13,refute_0_16]) ).
cnf(refute_0_18,plain,
divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero) = divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero),
introduced(tautology,[refl,[$fot(divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero))]]) ).
cnf(refute_0_19,plain,
( divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))) != divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero)
| divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero) != divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero)
| divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero) = divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero),divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero)) ),[1,0],$fot(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero))]]) ).
cnf(refute_0_20,plain,
( divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))) != divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero)
| divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero) = divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero),divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero)) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero) = divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero),zero),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero)) )],[refute_0_17,refute_0_20]) ).
cnf(refute_0_22,plain,
( divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero) != divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero),zero)
| divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero) != zero
| divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero),zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero),zero) ),[0],$fot(divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero),zero))]]) ).
cnf(refute_0_23,plain,
( divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero) != zero
| divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero),divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero),zero)) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero),zero) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),divide(zero,divide(divide(X_14,zero),X_15))),zero),zero) )],[refute_0_12,refute_0_23]) ).
cnf(refute_0_25,plain,
( divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero),zero) != zero
| zero != zero
| divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero),zero) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero),zero),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_26,plain,
( zero != zero
| divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero),zero),zero) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( divide(zero,divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero)) != zero
| zero != zero
| zero = divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero),zero),zero) )],[refute_0_26,refute_0_2]) ).
cnf(refute_0_28,plain,
zero = zero,
introduced(tautology,[refl,[$fot(zero)]]) ).
cnf(refute_0_29,plain,
( divide(zero,divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero)) != zero
| zero = divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero) ),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_28,refute_0_27]) ).
cnf(refute_0_30,plain,
divide(zero,divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero)) = zero,
inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero)))]]) ).
cnf(refute_0_31,plain,
( divide(zero,divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero)) != zero
| zero != zero
| divide(zero,divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(zero,divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero)),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_32,plain,
( zero != zero
| divide(zero,divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero)) = zero ),
inference(resolve,[$cnf( $equal(divide(zero,divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero)),zero) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
( zero != zero
| zero = divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero) ),
inference(resolve,[$cnf( $equal(divide(zero,divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero)),zero) )],[refute_0_32,refute_0_29]) ).
cnf(refute_0_34,plain,
zero = divide(divide(divide(X_14,X_15),divide(divide(X_14,zero),X_15)),zero),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_28,refute_0_33]) ).
cnf(refute_0_35,plain,
zero = divide(divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138)),zero),
inference(subst,[],[refute_0_34:[bind(X_14,$fot(X_137)),bind(X_15,$fot(X_138))]]) ).
cnf(refute_0_36,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_37,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_38,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
( zero != divide(divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138)),zero)
| divide(divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138)),zero) = zero ),
inference(subst,[],[refute_0_38:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138)),zero)))]]) ).
cnf(refute_0_40,plain,
divide(divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138)),zero) = zero,
inference(resolve,[$cnf( $equal(zero,divide(divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138)),zero)) )],[refute_0_35,refute_0_39]) ).
cnf(refute_0_41,plain,
( divide(divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138)),zero) != zero
| zero != zero
| divide(divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138)),zero) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138)),zero),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_42,plain,
( zero != zero
| divide(divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138)),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138)),zero),zero) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( divide(zero,divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138))) != zero
| zero != zero
| divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138)),zero),zero) )],[refute_0_42,refute_0_1]) ).
cnf(refute_0_44,plain,
( divide(zero,divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138))) != zero
| divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138)) = zero ),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_28,refute_0_43]) ).
cnf(refute_0_45,plain,
divide(zero,divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138))) = zero,
inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138))))]]) ).
cnf(refute_0_46,plain,
( divide(zero,divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138))) != zero
| zero != zero
| divide(zero,divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(zero,divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138))),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_47,plain,
( zero != zero
| divide(zero,divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138))) = zero ),
inference(resolve,[$cnf( $equal(divide(zero,divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138))),zero) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( zero != zero
| divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138)) = zero ),
inference(resolve,[$cnf( $equal(divide(zero,divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138))),zero) )],[refute_0_47,refute_0_44]) ).
cnf(refute_0_49,plain,
divide(divide(X_137,X_138),divide(divide(X_137,zero),X_138)) = zero,
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_28,refute_0_48]) ).
cnf(refute_0_50,plain,
divide(divide(divide(X_129,b),divide(X_129,a)),divide(divide(divide(X_129,b),zero),divide(X_129,a))) = zero,
inference(subst,[],[refute_0_49:[bind(X_137,$fot(divide(X_129,b))),bind(X_138,$fot(divide(X_129,a)))]]) ).
cnf(refute_0_51,plain,
( divide(divide(divide(divide(X_129,b),zero),divide(X_129,a)),zero) != zero
| divide(zero,divide(divide(divide(X_129,b),zero),divide(X_129,a))) != zero
| divide(divide(divide(X_129,b),zero),divide(X_129,a)) = zero ),
inference(subst,[],[divide_and_equal:[bind(X,$fot(divide(divide(divide(X_129,b),zero),divide(X_129,a)))),bind(Y,$fot(zero))]]) ).
cnf(refute_0_52,plain,
( divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),zero) != zero
| divide(zero,divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero)) != zero
| zero = divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero) ),
inference(subst,[],[divide_and_equal:[bind(X,$fot(zero)),bind(Y,$fot(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero)))]]) ).
cnf(refute_0_53,plain,
divide(divide(divide(X_4,X_6),divide(divide(X_6,Y),X_6)),divide(divide(X_4,divide(X_6,Y)),X_6)) = zero,
inference(subst,[],[quotient_property:[bind(X,$fot(X_4)),bind(Y,$fot(divide(X_6,Y))),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_54,plain,
divide(divide(X_6,Y),X_6) = zero,
inference(subst,[],[quotient_smaller_than_numerator:[bind(X,$fot(X_6))]]) ).
cnf(refute_0_55,plain,
( divide(divide(X_6,Y),X_6) != zero
| divide(divide(divide(X_4,X_6),divide(divide(X_6,Y),X_6)),divide(divide(X_4,divide(X_6,Y)),X_6)) != zero
| divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,divide(X_6,Y)),X_6)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_4,X_6),divide(divide(X_6,Y),X_6)),divide(divide(X_4,divide(X_6,Y)),X_6)),zero) ),[0,0,1],$fot(zero)]]) ).
cnf(refute_0_56,plain,
( divide(divide(divide(X_4,X_6),divide(divide(X_6,Y),X_6)),divide(divide(X_4,divide(X_6,Y)),X_6)) != zero
| divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,divide(X_6,Y)),X_6)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(X_6,Y),X_6),zero) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
divide(divide(divide(X_4,X_6),zero),divide(divide(X_4,divide(X_6,Y)),X_6)) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(X_4,X_6),divide(divide(X_6,Y),X_6)),divide(divide(X_4,divide(X_6,Y)),X_6)),zero) )],[refute_0_53,refute_0_56]) ).
cnf(refute_0_58,plain,
divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(divide(divide(divide(X_4,b),zero),divide(divide(X_4,a),b)),divide(X_4,a))) = zero,
inference(subst,[],[refute_0_57:[bind(Y,$fot(b)),bind(X_4,$fot(divide(divide(X_4,b),zero))),bind(X_6,$fot(divide(X_4,a)))]]) ).
cnf(refute_0_59,plain,
divide(divide(divide(X_4,b),divide(a,b)),divide(divide(X_4,a),b)) = zero,
inference(subst,[],[quotient_property:[bind(X,$fot(X_4)),bind(Y,$fot(a)),bind(Z,$fot(b))]]) ).
cnf(refute_0_60,plain,
( divide(divide(divide(X_4,b),divide(a,b)),divide(divide(X_4,a),b)) != zero
| divide(a,b) != zero
| divide(divide(divide(X_4,b),zero),divide(divide(X_4,a),b)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_4,b),divide(a,b)),divide(divide(X_4,a),b)),zero) ),[0,0,1],$fot(zero)]]) ).
cnf(refute_0_61,plain,
( divide(divide(divide(X_4,b),divide(a,b)),divide(divide(X_4,a),b)) != zero
| divide(divide(divide(X_4,b),zero),divide(divide(X_4,a),b)) = zero ),
inference(resolve,[$cnf( $equal(divide(a,b),zero) )],[a_divide_b_is_zero,refute_0_60]) ).
cnf(refute_0_62,plain,
divide(divide(divide(X_4,b),zero),divide(divide(X_4,a),b)) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(X_4,b),divide(a,b)),divide(divide(X_4,a),b)),zero) )],[refute_0_59,refute_0_61]) ).
cnf(refute_0_63,plain,
( divide(divide(divide(X_4,b),zero),divide(divide(X_4,a),b)) != zero
| divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(divide(divide(divide(X_4,b),zero),divide(divide(X_4,a),b)),divide(X_4,a))) != zero
| divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(divide(divide(divide(X_4,b),zero),divide(divide(X_4,a),b)),divide(X_4,a))),zero) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_64,plain,
( divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(divide(divide(divide(X_4,b),zero),divide(divide(X_4,a),b)),divide(X_4,a))) != zero
| divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a))) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_4,b),zero),divide(divide(X_4,a),b)),zero) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a))) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(divide(divide(divide(X_4,b),zero),divide(divide(X_4,a),b)),divide(X_4,a))),zero) )],[refute_0_58,refute_0_64]) ).
cnf(refute_0_66,plain,
divide(zero,divide(X_4,a)) = zero,
inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(X_4,a)))]]) ).
cnf(refute_0_67,plain,
divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a))) = divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a))),
introduced(tautology,[refl,[$fot(divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a))))]]) ).
cnf(refute_0_68,plain,
( divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a))) != divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a)))
| divide(zero,divide(X_4,a)) != zero
| divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a))) = divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a))),divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_69,plain,
( divide(zero,divide(X_4,a)) != zero
| divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a))) = divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a))),divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a)))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a))) = divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),zero),
inference(resolve,[$cnf( $equal(divide(zero,divide(X_4,a)),zero) )],[refute_0_66,refute_0_69]) ).
cnf(refute_0_71,plain,
( divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a))) != divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),zero)
| divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a))) != zero
| divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a))),zero) ),[0],$fot(divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),zero))]]) ).
cnf(refute_0_72,plain,
( divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a))) != zero
| divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a))),divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),zero)) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),zero) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),divide(zero,divide(X_4,a))),zero) )],[refute_0_65,refute_0_72]) ).
cnf(refute_0_74,plain,
( divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),zero) != zero
| zero != zero
| divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),zero) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),zero),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_75,plain,
( zero != zero
| divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),zero),zero) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
( divide(zero,divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero)) != zero
| zero != zero
| zero = divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),zero),zero) )],[refute_0_75,refute_0_52]) ).
cnf(refute_0_77,plain,
( divide(zero,divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero)) != zero
| zero = divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero) ),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_28,refute_0_76]) ).
cnf(refute_0_78,plain,
divide(zero,divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero)) = zero,
inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero)))]]) ).
cnf(refute_0_79,plain,
( divide(zero,divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero)) != zero
| zero != zero
| divide(zero,divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(zero,divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero)),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_80,plain,
( zero != zero
| divide(zero,divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero)) = zero ),
inference(resolve,[$cnf( $equal(divide(zero,divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero)),zero) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
( zero != zero
| zero = divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero) ),
inference(resolve,[$cnf( $equal(divide(zero,divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero)),zero) )],[refute_0_80,refute_0_77]) ).
cnf(refute_0_82,plain,
zero = divide(divide(divide(divide(X_4,b),zero),divide(X_4,a)),zero),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_28,refute_0_81]) ).
cnf(refute_0_83,plain,
zero = divide(divide(divide(divide(X_129,b),zero),divide(X_129,a)),zero),
inference(subst,[],[refute_0_82:[bind(X_4,$fot(X_129))]]) ).
cnf(refute_0_84,plain,
( zero != divide(divide(divide(divide(X_129,b),zero),divide(X_129,a)),zero)
| divide(divide(divide(divide(X_129,b),zero),divide(X_129,a)),zero) = zero ),
inference(subst,[],[refute_0_38:[bind(X0,$fot(zero)),bind(Y0,$fot(divide(divide(divide(divide(X_129,b),zero),divide(X_129,a)),zero)))]]) ).
cnf(refute_0_85,plain,
divide(divide(divide(divide(X_129,b),zero),divide(X_129,a)),zero) = zero,
inference(resolve,[$cnf( $equal(zero,divide(divide(divide(divide(X_129,b),zero),divide(X_129,a)),zero)) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
( divide(divide(divide(divide(X_129,b),zero),divide(X_129,a)),zero) != zero
| zero != zero
| divide(divide(divide(divide(X_129,b),zero),divide(X_129,a)),zero) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(divide(X_129,b),zero),divide(X_129,a)),zero),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_87,plain,
( zero != zero
| divide(divide(divide(divide(X_129,b),zero),divide(X_129,a)),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_129,b),zero),divide(X_129,a)),zero),zero) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
( divide(zero,divide(divide(divide(X_129,b),zero),divide(X_129,a))) != zero
| zero != zero
| divide(divide(divide(X_129,b),zero),divide(X_129,a)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_129,b),zero),divide(X_129,a)),zero),zero) )],[refute_0_87,refute_0_51]) ).
cnf(refute_0_89,plain,
( divide(zero,divide(divide(divide(X_129,b),zero),divide(X_129,a))) != zero
| divide(divide(divide(X_129,b),zero),divide(X_129,a)) = zero ),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_28,refute_0_88]) ).
cnf(refute_0_90,plain,
divide(zero,divide(divide(divide(X_129,b),zero),divide(X_129,a))) = zero,
inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(divide(divide(X_129,b),zero),divide(X_129,a))))]]) ).
cnf(refute_0_91,plain,
( divide(zero,divide(divide(divide(X_129,b),zero),divide(X_129,a))) != zero
| zero != zero
| divide(zero,divide(divide(divide(X_129,b),zero),divide(X_129,a))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(zero,divide(divide(divide(X_129,b),zero),divide(X_129,a))),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_92,plain,
( zero != zero
| divide(zero,divide(divide(divide(X_129,b),zero),divide(X_129,a))) = zero ),
inference(resolve,[$cnf( $equal(divide(zero,divide(divide(divide(X_129,b),zero),divide(X_129,a))),zero) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
( zero != zero
| divide(divide(divide(X_129,b),zero),divide(X_129,a)) = zero ),
inference(resolve,[$cnf( $equal(divide(zero,divide(divide(divide(X_129,b),zero),divide(X_129,a))),zero) )],[refute_0_92,refute_0_89]) ).
cnf(refute_0_94,plain,
divide(divide(divide(X_129,b),zero),divide(X_129,a)) = zero,
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_28,refute_0_93]) ).
cnf(refute_0_95,plain,
( divide(divide(divide(X_129,b),divide(X_129,a)),divide(divide(divide(X_129,b),zero),divide(X_129,a))) != zero
| divide(divide(divide(X_129,b),zero),divide(X_129,a)) != zero
| divide(divide(divide(X_129,b),divide(X_129,a)),zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_129,b),divide(X_129,a)),divide(divide(divide(X_129,b),zero),divide(X_129,a))),zero) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_96,plain,
( divide(divide(divide(X_129,b),divide(X_129,a)),divide(divide(divide(X_129,b),zero),divide(X_129,a))) != zero
| divide(divide(divide(X_129,b),divide(X_129,a)),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_129,b),zero),divide(X_129,a)),zero) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
divide(divide(divide(X_129,b),divide(X_129,a)),zero) = zero,
inference(resolve,[$cnf( $equal(divide(divide(divide(X_129,b),divide(X_129,a)),divide(divide(divide(X_129,b),zero),divide(X_129,a))),zero) )],[refute_0_50,refute_0_96]) ).
cnf(refute_0_98,plain,
divide(divide(divide(X_143,b),divide(X_143,a)),zero) = zero,
inference(subst,[],[refute_0_97:[bind(X_129,$fot(X_143))]]) ).
cnf(refute_0_99,plain,
( divide(divide(divide(X_143,b),divide(X_143,a)),zero) != zero
| zero != zero
| divide(divide(divide(X_143,b),divide(X_143,a)),zero) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(divide(X_143,b),divide(X_143,a)),zero),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_100,plain,
( zero != zero
| divide(divide(divide(X_143,b),divide(X_143,a)),zero) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_143,b),divide(X_143,a)),zero),zero) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
( divide(zero,divide(divide(X_143,b),divide(X_143,a))) != zero
| zero != zero
| divide(divide(X_143,b),divide(X_143,a)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_143,b),divide(X_143,a)),zero),zero) )],[refute_0_100,refute_0_0]) ).
cnf(refute_0_102,plain,
( divide(zero,divide(divide(X_143,b),divide(X_143,a))) != zero
| divide(divide(X_143,b),divide(X_143,a)) = zero ),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_28,refute_0_101]) ).
cnf(refute_0_103,plain,
divide(zero,divide(divide(X_143,b),divide(X_143,a))) = zero,
inference(subst,[],[zero_is_smallest:[bind(X,$fot(divide(divide(X_143,b),divide(X_143,a))))]]) ).
cnf(refute_0_104,plain,
( divide(zero,divide(divide(X_143,b),divide(X_143,a))) != zero
| zero != zero
| divide(zero,divide(divide(X_143,b),divide(X_143,a))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(zero,divide(divide(X_143,b),divide(X_143,a))),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_105,plain,
( zero != zero
| divide(zero,divide(divide(X_143,b),divide(X_143,a))) = zero ),
inference(resolve,[$cnf( $equal(divide(zero,divide(divide(X_143,b),divide(X_143,a))),zero) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
( zero != zero
| divide(divide(X_143,b),divide(X_143,a)) = zero ),
inference(resolve,[$cnf( $equal(divide(zero,divide(divide(X_143,b),divide(X_143,a))),zero) )],[refute_0_105,refute_0_102]) ).
cnf(refute_0_107,plain,
divide(divide(X_143,b),divide(X_143,a)) = zero,
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_28,refute_0_106]) ).
cnf(refute_0_108,plain,
divide(divide(c,b),divide(c,a)) = zero,
inference(subst,[],[refute_0_107:[bind(X_143,$fot(c))]]) ).
cnf(refute_0_109,plain,
( divide(divide(c,b),divide(c,a)) != zero
| zero != zero
| divide(divide(c,b),divide(c,a)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(c,b),divide(c,a)),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_110,plain,
( zero != zero
| divide(divide(c,b),divide(c,a)) = zero ),
inference(resolve,[$cnf( $equal(divide(divide(c,b),divide(c,a)),zero) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
zero != zero,
inference(resolve,[$cnf( $equal(divide(divide(c,b),divide(c,a)),zero) )],[refute_0_110,prove_property_of_divide2]) ).
cnf(refute_0_112,plain,
$false,
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_28,refute_0_111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN007-5 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 1 14:23:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.85/1.04 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.85/1.04
% 0.85/1.04 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.85/1.06
%------------------------------------------------------------------------------