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%--------------------------------------------------------------------------
% File : SYN075-1 : TPTP v5.5.0. Released v1.0.0.
% Domain : Syntactic
% Problem : Pelletier Problem 52
% Version : Especial.
% English :
% Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% Source : [Pel86]
% Names : Pelletier 52 [Pel86]
% Status : Unsatisfiable
% Rating : 0.00 v5.5.0, 0.20 v5.3.0, 0.22 v5.2.0, 0.12 v5.1.0, 0.06 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.18 v4.0.0, 0.09 v3.7.0, 0.00 v3.3.0, 0.14 v3.2.0, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.5.0, 0.08 v2.4.0, 0.11 v2.2.1, 0.11 v2.2.0, 0.22 v2.1.0, 0.33 v2.0.0
% Syntax : Number of clauses : 10 ( 4 non-Horn; 0 unit; 8 RR)
% Number of atoms : 31 ( 17 equality)
% Maximal clause size : 4 ( 3 average)
% Number of predicates : 2 ( 0 propositional; 2-2 arity)
% Number of functors : 5 ( 2 constant; 0-2 arity)
% Number of variables : 23 ( 2 singleton)
% Maximal term depth : 2 ( 1 average)
% SPC : CNF_UNS_RFO_SEQ_NHN
% Comments :
%--------------------------------------------------------------------------
cnf(clause_1,axiom,
( ~ big_f(X,Y)
| X = a )).
cnf(clause_2,axiom,
( ~ big_f(X,Y)
| Y = b )).
cnf(clause_3,axiom,
( X != a
| Y != b
| big_f(X,Y) )).
cnf(clause_4,negated_conjecture,
( ~ big_f(Y,f(X))
| Y != g(X)
| f(X) = X )).
cnf(clause_5,negated_conjecture,
( ~ big_f(Y,f(X))
| Y = g(X)
| big_f(h(X,Z),f(X))
| ~ big_f(h(X,Z),f(X)) )).
cnf(clause_6,negated_conjecture,
( Y != g(X)
| big_f(Y,f(X))
| f(X) = X )).
cnf(clause_7,negated_conjecture,
( Y != g(X)
| big_f(Y,f(X))
| big_f(h(X,Z),f(X))
| h(X,Z) = Z )).
cnf(clause_8,negated_conjecture,
( Y != g(X)
| big_f(Y,f(X))
| h(X,Z) != Z
| ~ big_f(h(X,Z),f(X)) )).
cnf(clause_9,negated_conjecture,
( f(X) != X
| big_f(h(X,Z),f(X))
| h(X,Z) = Z )).
cnf(clause_10,negated_conjecture,
( f(X) != X
| h(X,Z) != Z
| ~ big_f(h(X,Z),f(X)) )).
%--------------------------------------------------------------------------
|
