## TPTP Problem File: SYN047-1.p

View Solutions - Solve Problem

```%--------------------------------------------------------------------------
% File     : SYN047-1 : TPTP v8.1.0. Released v1.0.0.
% Domain   : Syntactic
% Problem  : Pelletier Problem 17
% Version  : Especial.
% English  : A problem which appears to not be provable by [BBH72].
%            For details of why not, see [Pel82] p.135f.

% Refs     : Bledsoe W., Boyer R., Nenneman W. (1972), Computer Proofs of
%          : [Pel82] Pelletier (1982), Completely Non-clausal, Completely H
%          : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% Source   : [Pel86]
% Names    : Pelletier 17 [Pel86]

% Status   : Unsatisfiable
% Rating   : 0.00 v2.0.0
% Syntax   : Number of clauses     :    5 (   2 unt;   1 nHn;   5 RR)
%            Number of literals    :   10 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    4 (   4 usr;   4 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)
% SPC      : CNF_UNS_PRP

%--------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
p ).

cnf(clause_2,negated_conjecture,
( ~ p
| q
| s ) ).

cnf(clause_3,negated_conjecture,
( ~ p
| ~ r
| s ) ).

cnf(clause_4,negated_conjecture,
~ s ).

cnf(clause_5,negated_conjecture,
( ~ q
| r ) ).

%--------------------------------------------------------------------------
```