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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)) )).
+
+%--------------------------------------------------------------------------
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