TPTP Problem File: FLD017-1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : FLD017-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% Domain : Field Theory (Ordered fields)
% Problem : Substitution of an element in additive equations
% Version : [Dra93] axioms : Especial.
% Theorem formulation : Functional with glxx axiom set.
% English :
% Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% Source : [Dra93]
% Names :
% Status : Unsatisfiable
% Rating : 0.00 v7.4.0, 0.17 v7.0.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.20 v5.2.0, 0.00 v5.1.0, 0.09 v5.0.0, 0.29 v4.1.0, 0.12 v4.0.1, 0.20 v4.0.0, 0.29 v3.4.0, 0.25 v3.3.0, 0.33 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.00 v2.2.1, 0.33 v2.1.0
% Syntax : Number of clauses : 34 ( 10 unt; 3 nHn; 34 RR)
% Number of literals : 80 ( 0 equ; 45 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn)
% SPC : CNF_UNS_RFO_NEQ_NHN
% Comments :
% Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
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include('Axioms/FLD001-0.ax').
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cnf(a_is_defined,hypothesis,
defined(a) ).
cnf(b_is_defined,hypothesis,
defined(b) ).
cnf(c_is_defined,hypothesis,
defined(c) ).
cnf(x_is_defined,hypothesis,
defined(x) ).
cnf(a_equals_x_5,negated_conjecture,
equalish(a,x) ).
cnf(add_equals_c_6,negated_conjecture,
equalish(add(a,b),c) ).
cnf(add_not_equal_to_c_7,negated_conjecture,
~ equalish(add(x,b),c) ).
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