============================== Mace4 =================================
Mace4 (64) version 2009-11A, November 2009.
Process 3232 was started by koen on vdheijden-arch,
Sun Jan 15 16:43:42 2017
The command was "mace4 -f logic_b.m4.in".
============================== end of head ===========================

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

% Reading from file logic_b.m4.in


formulas(sos).
x * (y * z) = (x * y) * z.
x * I = x.
x * inv(x) = I.
end_of_list.

formulas(goals).
(all x all y x * y = y * x).
end_of_list.

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

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

% Formulas that are not ordinary clauses:
1 (all x all y x * y = y * x) # label(non_clause) # label(goal).  [goal].

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

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

formulas(mace4_clauses).
x * (y * z) = (x * y) * z.
x * I = x.
x * inv(x) = I.
c2 * c1 != c1 * c2.
end_of_list.

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

% There are no natural numbers in the input.

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

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

For domain size 2.

Current CPU time: 0.00 seconds (total CPU time: 0.01 seconds).
Ground clauses: seen=13, kept=13.
Selections=4, assignments=7, propagations=6, current_models=0.
Rewrite_terms=62, rewrite_bools=16, indexes=8.
Rules_from_neg_clauses=2, cross_offs=2.

============================== 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=34, kept=34.
Selections=7, assignments=17, propagations=30, current_models=0.
Rewrite_terms=298, rewrite_bools=71, indexes=52.
Rules_from_neg_clauses=8, cross_offs=24.

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

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

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

For domain size 4.

Current CPU time: 0.00 seconds (total CPU time: 0.01 seconds).
Ground clauses: seen=73, kept=73.
Selections=14, assignments=45, propagations=110, current_models=0.
Rewrite_terms=1132, rewrite_bools=232, indexes=206.
Rules_from_neg_clauses=18, cross_offs=98.

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

============================== DOMAIN SIZE 5 =========================

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

For domain size 5.

Current CPU time: 0.00 seconds (total CPU time: 0.01 seconds).
Ground clauses: seen=136, kept=136.
Selections=24, assignments=91, propagations=201, current_models=0.
Rewrite_terms=2416, rewrite_bools=472, indexes=582.
Rules_from_neg_clauses=31, cross_offs=228.

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

============================== DOMAIN SIZE 6 =========================

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

interpretation( 6, [number=1, seconds=0], [

        function(I, [ 0 ]),

        function(c1, [ 1 ]),

        function(c2, [ 2 ]),

        function(inv(_), [ 0, 1, 2, 4, 3, 5 ]),

        function(*(_,_), [
			   0, 1, 2, 3, 4, 5,
			   1, 0, 3, 2, 5, 4,
			   2, 4, 0, 5, 1, 3,
			   3, 5, 1, 4, 0, 2,
			   4, 2, 5, 0, 3, 1,
			   5, 3, 4, 1, 2, 0 ])
]).

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

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

For domain size 6.

Current CPU time: 0.00 seconds (total CPU time: 0.01 seconds).
Ground clauses: seen=229, kept=229.
Selections=14, assignments=44, propagations=94, current_models=1.
Rewrite_terms=1566, rewrite_bools=339, indexes=370.
Rules_from_neg_clauses=8, cross_offs=138.

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

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

Exiting with 1 model.

Process 3232 exit (max_models) Sun Jan 15 16:43:42 2017
The process finished Sun Jan 15 16:43:42 2017