%--------------------------------------------------------------------------
% File     : SYN339-1 : TPTP v9.0.0. Released v1.2.0.
% Domain   : Syntactic
% Problem  : Church problem 46.15 (4)
% Version  : Especial.
% English  :

% Refs     : [Chu56] Church (1956), Introduction to Mathematical Logic I
%          : [FL+93] Fermuller et al. (1993), Resolution Methods for the De
%          : [Tam94] Tammet (1994), Email to Geoff Sutcliffe.
% Source   : [Tam94]
% Names    : Ch15N4 [Tam94]

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

% Comments : All the problems here can be decided by using a certain
%            completeness-preserving term ordering strategies. See [FL+93].
%          : The conversion from the full 1st order form in [Chu56]
%            to clause form was done by hand by Tanel Tammet.
%--------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
    f(X,y(X),Z) ).

cnf(clause2,negated_conjecture,
    ~ f(y(X),Z,Z) ).

%--------------------------------------------------------------------------