============================== Mace4 =================================
Mace4 (32) version Dec-2007, Dec 2007.
Process 4024 was started by Alexei on Alexei-PC,
Tue Mar 19 18:08:28 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 * a4.
a3 = a2 * a7.
a4 = a3 * a8.
a5 = a4 * a2.
a6 = a5 * a9.
a7 = a6 * a10.
a8 = a7 * a1.
a9 = a8 * a5.
a10 = a9 * a6.
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 * a4.
a3 = a2 * a7.
a4 = a3 * a8.
a5 = a4 * a2.
a6 = a5 * a9.
a7 = a6 * a10.
a8 = a7 * a1.
a9 = a8 * a5.
a10 = a9 * a6.
a1 = a10 * a3.
a1 != a2 | a3 != a2 | a3 != a4 | a5 != a4 | 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=6, assignments=11, propagations=15, current_models=0.
Rewrite_terms=86, rewrite_bools=25, indexes=0.
Rules_from_neg_clauses=7, cross_offs=7.

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

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

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

interpretation( 3, [number=1, seconds=0], [

        function(a1, [ 0 ]),

        function(a10, [ 0 ]),

        function(a2, [ 1 ]),

        function(a3, [ 0 ]),

        function(a4, [ 2 ]),

        function(a5, [ 0 ]),

        function(a6, [ 1 ]),

        function(a7, [ 2 ]),

        function(a8, [ 1 ]),

        function(a9, [ 2 ]),

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

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

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

For domain size 3.

Current CPU time: 0.00 seconds (total CPU time: 0.00 seconds).
Ground clauses: seen=50, kept=44.
Selections=7, assignments=11, propagations=49, current_models=1.
Rewrite_terms=553, rewrite_bools=131, indexes=54.
Rules_from_neg_clauses=14, cross_offs=33.

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

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

Exiting with 1 model.

Process 4024 exit (max_models) Tue Mar 19 18:08:28 2013
The process finished Tue Mar 19 18:08:28 2013