## TPTP Problem File: SYN050-1.p

View Solutions - Solve Problem

```%--------------------------------------------------------------------------
% File     : SYN050-1 : TPTP v8.1.0. Released v1.0.0.
% Domain   : Syntactic
% Problem  : Pelletier Problem 20
% Version  : Especial.
% English  :

% Refs     : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% Source   : [Pel86]
% Names    : Pelletier 20 [Pel86]

% Status   : Unsatisfiable
% Rating   : 0.00 v5.3.0, 0.05 v5.2.0, 0.00 v2.0.0
% Syntax   : Number of clauses     :    5 (   3 unt;   0 nHn;   4 RR)
%            Number of literals    :    9 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   4 usr;   0 prp; 1-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   4 sgn)
% SPC      : CNF_UNS_RFO_NEQ_HRN

%--------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( ~ big_p(Y)
| ~ big_q(Z)
| big_r(f(Y,Z)) ) ).

cnf(clause_2,negated_conjecture,
( ~ big_p(Y)
| ~ big_q(Z)
| big_s(X) ) ).

cnf(clause_3,negated_conjecture,
big_p(a) ).

cnf(clause_4,negated_conjecture,
big_q(b) ).

cnf(clause_5,negated_conjecture,
~ big_r(W) ).

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