============================== Mace4 =================================
Mace4 (32) version Dec-2007, Dec 2007.
Process 3980 was started by Alexei on Alexei-PC,
Thu Apr 18 00:18:23 2013
The command was "/cygdrive/c/Program Files (x86)/Prover9-Mace4/bin-win32/mace4 -c".
============================== end of head ===========================

============================== INPUT =================================
assign(report_stderr,2).
set(ignore_option_dependencies).
if(Prover9).
% Conditional input omitted.
end_if.
if(Mace4).
% Conditional input included.
assign(max_seconds,60).
end_if.

formulas(assumptions).
x * x = x.
(x * y) * y = x.
(x * y) * z = (x * z) * (y * z).
a2 = a1 * a6.
a3 = a2 * a8.
a4 = a3 * a6.
a5 = a4 * a7.
a6 = a5 * a1.
a7 = a6 * a9.
a8 = a7 * a5.
a9 = a8 * a3.
a10 = a9 * a7.
a1 = a10 * a8.
end_of_list.

formulas(goals).
a1 = a2 & a2 = a3 & a3 = a4 & a4 = a5 & a5 = a6 & a6 = a7 & a7 = a8 & a8 = a9 & a9 = a10.
end_of_list.

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

% Enabling option dependencies (ignore applies only on input).

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

% Formulas that are not ordinary clauses:
1 a1 = a2 & a2 = a3 & a3 = a4 & a4 = a5 & a5 = a6 & a6 = a7 & a7 = a8 & a8 = a9 & a9 = a10 # label(non_clause) # label(goal).  [goal].

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

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

formulas(mace4_clauses).
x * x = x.
(x * y) * y = x.
(x * y) * z = (x * z) * (y * z).
a2 = a1 * a6.
a3 = a2 * a8.
a4 = a3 * a6.
a5 = a4 * a7.
a6 = a5 * a1.
a7 = a6 * a9.
a8 = a7 * a5.
a9 = a8 * a3.
a10 = a9 * a7.
a1 = a10 * a8.
a1 != a2 | a3 != a2 | a4 != a3 | a5 != a4 | a5 != a6 | a7 != a6 | a7 != a8 | a9 != a8 | a10 != a9.
end_of_list.

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

% There are no domain elements in the input.

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

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

For domain size 2.

Current CPU time: 0.00 seconds (total CPU time: 0.03 seconds).
Ground clauses: seen=25, kept=15.
Selections=7, assignments=13, propagations=15, current_models=0.
Rewrite_terms=88, rewrite_bools=25, indexes=0.
Rules_from_neg_clauses=8, cross_offs=8.

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

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

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

For domain size 3.

Current CPU time: 0.00 seconds (total CPU time: 0.03 seconds).
Ground clauses: seen=50, kept=44.
Selections=12, assignments=28, propagations=80, current_models=0.
Rewrite_terms=854, rewrite_bools=201, indexes=55.
Rules_from_neg_clauses=33, cross_offs=73.

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

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

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

For domain size 4.

Current CPU time: 0.00 seconds (total CPU time: 0.03 seconds).
Ground clauses: seen=95, kept=87.
Selections=25, assignments=80, propagations=181, current_models=0.
Rewrite_terms=2369, rewrite_bools=514, indexes=204.
Rules_from_neg_clauses=34, cross_offs=155.

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

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

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

For domain size 5.

Current CPU time: 0.00 seconds (total CPU time: 0.03 seconds).
Ground clauses: seen=166, kept=156.
Selections=41, assignments=159, propagations=373, current_models=0.
Rewrite_terms=5479, rewrite_bools=995, indexes=692.
Rules_from_neg_clauses=87, cross_offs=575.

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

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

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

For domain size 6.

Current CPU time: 0.00 seconds (total CPU time: 0.03 seconds).
Ground clauses: seen=269, kept=257.
Selections=71, assignments=337, propagations=885, current_models=0.
Rewrite_terms=15649, rewrite_bools=2861, indexes=1881.
Rules_from_neg_clauses=163, cross_offs=1397.

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

============================== DOMAIN SIZE 7 =========================

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

interpretation( 7, [number=1, seconds=0], [

        function(a1, [ 0 ]),

        function(a10, [ 0 ]),

        function(a2, [ 1 ]),

        function(a3, [ 4 ]),

        function(a4, [ 6 ]),

        function(a5, [ 3 ]),

        function(a6, [ 2 ]),

        function(a7, [ 4 ]),

        function(a8, [ 0 ]),

        function(a9, [ 5 ]),

        function(*(_,_), [
			   0, 6, 1, 4, 5, 3, 2,
			   4, 1, 0, 5, 2, 6, 3,
			   3, 5, 2, 6, 1, 4, 0,
			   2, 4, 5, 3, 6, 0, 1,
			   1, 3, 6, 0, 4, 2, 5,
			   6, 2, 3, 1, 0, 5, 4,
			   5, 0, 4, 2, 3, 1, 6 ])
]).

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

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

For domain size 7.

Current CPU time: 0.00 seconds (total CPU time: 0.03 seconds).
Ground clauses: seen=410, kept=396.
Selections=28, assignments=110, propagations=257, current_models=1.
Rewrite_terms=5803, rewrite_bools=1093, indexes=764.
Rules_from_neg_clauses=21, cross_offs=538.

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

User_CPU=0.03, System_CPU=0.01, Wall_clock=0.

Exiting with 1 model.

Process 3980 exit (max_models) Thu Apr 18 00:18:23 2013
The process finished Thu Apr 18 00:18:23 2013