TPTP Problem File: ANA005-1.p
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%--------------------------------------------------------------------------
% File : ANA005-1 : TPTP v8.2.0. Released v1.0.0.
% Domain : Analysis
% Problem : The sum of two continuous functions is continuous
% Version : [MOW76] axioms : Incomplete > Augmented > Complete.
% English :
% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% Source : [ANL]
% Names : BL3 [MOW76]
% Status : Unsatisfiable
% Rating : 0.94 v8.2.0, 0.92 v8.1.0, 0.78 v7.5.0, 0.80 v7.4.0, 0.89 v7.3.0, 0.78 v7.2.0, 0.75 v7.1.0, 0.86 v7.0.0, 1.00 v5.3.0, 0.92 v5.2.0, 1.00 v4.0.1, 0.83 v3.3.0, 0.71 v3.2.0, 0.86 v3.1.0, 0.78 v2.7.0, 0.83 v2.6.0, 0.86 v2.5.0, 0.60 v2.4.0, 1.00 v2.0.0
% Syntax : Number of clauses : 21 ( 7 unt; 0 nHn; 16 RR)
% Number of literals : 42 ( 5 equ; 23 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn)
% SPC : CNF_UNS_RFO_SEQ_HRN
% Comments : No natural language descriptions are available.
% : Contributed to the ANL library by Woody Bledsoe.
%--------------------------------------------------------------------------
%----Include limits axioms
include('Axioms/ANA001-0.ax').
%--------------------------------------------------------------------------
%----Clauses from the theorem
cnf(c_10,negated_conjecture,
( ~ less_than(n0,X)
| less_than(n0,fp31(X)) ) ).
cnf(c_11,negated_conjecture,
( ~ less_than(n0,X)
| ~ less_than(absolute(add(Y,minus(a))),fp31(X))
| less_than(absolute(add(f(Y),minus(l1))),X) ) ).
cnf(c_12,negated_conjecture,
( ~ less_than(n0,X)
| less_than(n0,fp32(X)) ) ).
cnf(c_13,negated_conjecture,
( ~ less_than(n0,X)
| ~ less_than(absolute(add(Y,minus(a))),fp32(X))
| less_than(absolute(add(g(Y),minus(l2))),X) ) ).
cnf(c_14,negated_conjecture,
less_than(n0,b) ).
cnf(c_15,negated_conjecture,
( ~ less_than(n0,X)
| less_than(absolute(add(fp33(X),minus(a))),X) ) ).
cnf(c_16,negated_conjecture,
( ~ less_than(n0,X)
| ~ less_than(absolute(add(add(f(fp33(X)),g(fp33(X))),minus(add(l1,l2)))),b) ) ).
%--------------------------------------------------------------------------