============================== Mace4 =================================
Mace4 (32) version 22-May-2007, May 2007.
Process 26993 was started by mccune on cleo,
Tue May 22 14:44:33 2007
The command was "/home/mccune/bin/mace4 -f cl_ql.in".
============================== end of head ===========================

============================== INPUT =================================

% Reading from file cl_ql.in


formulas(assumptions).
a(a(L,x),y) = a(x,a(y,y)).
a(a(a(Q,x),y),z) = a(y,a(x,z)).
end_of_list.

formulas(goals).
(exists Q all x a(Q,x) = a(x,a(Q,x))) # label(fixed_point_combinator).
end_of_list.

============================== end of input ==========================

============================== PROCESS NON-CLAUSAL FORMULAS ==========

% Formulas that are not ordinary clauses:
1 (exists Q all x a(Q,x) = a(x,a(Q,x))) # label(fixed_point_combinator) # label(non_clause) # label(goal).  [goal].

============================== end of process non-clausal formulas ===

============================== CLAUSES FOR SEARCH ====================

formulas(mace4_clauses).
a(a(L,x),y) = a(x,a(y,y)).
a(a(a(Q,x),y),z) = a(y,a(x,z)).
a(x,f1(x)) != a(f1(x),a(x,f1(x))) # label(fixed_point_combinator).
end_of_list.

============================== end of clauses for search =============

% The maximum domain element in the input is 0.

============================== DOMAIN SIZE 2 =========================

============================== STATISTICS ============================

For domain size 2.

Current CPU time: 0.00 seconds (total CPU time: 0.00 seconds).
Ground clauses: seen=14, kept=14.
Selections=39, assignments=78, propagations=56, current_models=0.
Rewrite_terms=780, rewrite_bools=64, indexes=219.
Rules_from_neg_clauses=37, cross_offs=37.

============================== end of statistics =====================

============================== DOMAIN SIZE 3 =========================

============================== STATISTICS ============================

For domain size 3.

Current CPU time: 0.00 seconds (total CPU time: 0.01 seconds).
Ground clauses: seen=39, kept=39.
Selections=629, assignments=1883, propagations=2250, current_models=0.
Rewrite_terms=36454, rewrite_bools=4328, indexes=10651.
Rules_from_neg_clauses=288, cross_offs=1279.

============================== end of statistics =====================

============================== DOMAIN SIZE 4 =========================

============================== MODEL =================================

interpretation( 4, [number=1, seconds=0], [

        function(L, [ 0 ]),

        function(Q, [ 0 ]),

        function(f1(_), [ 1, 0, 0, 1 ]),

        function(a(_,_), [
			   0, 1, 1, 0,
			   3, 2, 2, 3,
			   3, 2, 2, 3,
			   0, 1, 1, 0 ])
]).

============================== end of model ==========================

============================== STATISTICS ============================

For domain size 4.

Current CPU time: 0.00 seconds (total CPU time: 0.01 seconds).
Ground clauses: seen=84, kept=84.
Selections=19, assignments=51, propagations=75, current_models=1.
Rewrite_terms=1841, rewrite_bools=171, indexes=542.
Rules_from_neg_clauses=5, cross_offs=28.

============================== end of statistics =====================

User_CPU=0.01, System_CPU=0.00, Wall_clock=0.

Exiting with 1 model.

Process 26993 exit (max_models) Tue May 22 14:44:33 2007
The process finished Tue May 22 14:44:33 2007