TPTP Problem File: SWV008-1.p
View Solutions
- Solve Problem
%--------------------------------------------------------------------------
% File : SWV008-1 : TPTP v8.2.0. Released v1.0.0.
% Domain : Software Verification
% Problem : E7
% Version : Especial.
% English :
% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% Source : [SETHEO]
% Names : E7 [MOW76]
% : v7.lop [SETHEO]
% Status : Unsatisfiable
% Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.15 v5.3.0, 0.17 v5.2.0, 0.19 v5.1.0, 0.18 v5.0.0, 0.14 v4.1.0, 0.08 v4.0.1, 0.09 v4.0.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.14 v3.2.0, 0.23 v3.1.0, 0.09 v2.7.0, 0.17 v2.6.0, 0.20 v2.5.0, 0.42 v2.4.0, 0.33 v2.2.1, 0.33 v2.2.0, 0.56 v2.1.0, 0.00 v2.0.0
% Syntax : Number of clauses : 17 ( 8 unt; 2 nHn; 12 RR)
% Number of literals : 33 ( 9 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 24 ( 0 sgn)
% SPC : CNF_UNS_RFO_SEQ_NHN
% Comments : This problem was contributed to [MOW76] in private
% correspondance from G. Ernst. The axioms are incomplete.
%--------------------------------------------------------------------------
%----Include axioms for this program verification
include('Axioms/SWV001-0.ax').
%--------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
~ less_than(n,l) ).
cnf(clause_2,negated_conjecture,
less_than(one,l) ).
cnf(clause_3,negated_conjecture,
less_than(a(l),a(predecessor(l))) ).
cnf(clause_4,negated_conjecture,
( less_than(X,n)
| less_than(n,X)
| ~ less_than(one,n)
| ~ less_than(a(X),a(predecessor(n))) ) ).
cnf(clause_5,negated_conjecture,
( ~ less_than(one,X)
| ~ less_than(X,n)
| ~ less_than(a(X),a(predecessor(X))) ) ).
%--------------------------------------------------------------------------