============================== Mace4 =================================
Mace4 (32) version Dec-2007, Dec 2007.
Process 3572 was started by Alexei on Alexei-PC,
Thu Apr 18 00:14:14 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 * a5.
a3 = a2 * a7.
a4 = a3 * a8.
a5 = a4 * a9.
a6 = a5 * a2.
a7 = a6 * a9.
a8 = a7 * a1.
a9 = a8 * a4.
a10 = a9 * a7.
a1 = a10 * a3.
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 * a5.
a3 = a2 * a7.
a4 = a3 * a8.
a5 = a4 * a9.
a6 = a5 * a2.
a7 = a6 * a9.
a8 = a7 * a1.
a9 = a8 * a4.
a10 = a9 * a7.
a1 = a10 * a3.
a1 != a2 | a3 != a2 | a4 != a3 | a4 != a5 | a6 != a5 | a6 != a7 | a8 != a7 | 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: 0.00 seconds).
Ground clauses: seen=25, kept=15.
Selections=7, assignments=13, propagations=15, current_models=0.
Rewrite_terms=90, rewrite_bools=26, 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: 0.00 seconds).
Ground clauses: seen=50, kept=44.
Selections=13, assignments=31, propagations=84, current_models=0.
Rewrite_terms=930, rewrite_bools=211, indexes=75.
Rules_from_neg_clauses=37, cross_offs=79.

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

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

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

For domain size 4.

Current CPU time: 0.00 seconds (total CPU time: 0.00 seconds).
Ground clauses: seen=95, kept=87.
Selections=32, assignments=108, propagations=227, current_models=0.
Rewrite_terms=3068, rewrite_bools=626, indexes=287.
Rules_from_neg_clauses=45, cross_offs=207.

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

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

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

interpretation( 5, [number=1, seconds=0], [

        function(a1, [ 0 ]),

        function(a10, [ 0 ]),

        function(a2, [ 1 ]),

        function(a3, [ 0 ]),

        function(a4, [ 3 ]),

        function(a5, [ 2 ]),

        function(a6, [ 3 ]),

        function(a7, [ 2 ]),

        function(a8, [ 4 ]),

        function(a9, [ 1 ]),

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

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

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

For domain size 5.

Current CPU time: 0.00 seconds (total CPU time: 0.00 seconds).
Ground clauses: seen=166, kept=156.
Selections=16, assignments=40, propagations=87, current_models=1.
Rewrite_terms=1676, rewrite_bools=338, indexes=202.
Rules_from_neg_clauses=9, cross_offs=155.

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

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

Exiting with 1 model.

Process 3572 exit (max_models) Thu Apr 18 00:14:14 2013
The process finished Thu Apr 18 00:14:14 2013