============================== Mace4 ================================= Mace4 (32) version Dec-2007, Dec 2007. Process 3884 was started by Alexei on Alexei-PC, Wed Apr 17 23:57:38 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 * a5. a4 = a3 * a1. a5 = a4 * a8. a6 = a5 * a2. a7 = a6 * a9. a8 = a7 * a10. a9 = a8 * a5. a10 = a9 * a7. a1 = a10 * a2. 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 * a5. a4 = a3 * a1. a5 = a4 * a8. a6 = a5 * a2. a7 = a6 * a9. a8 = a7 * a10. a9 = a8 * a5. a10 = a9 * a7. a1 = a10 * a2. a1 != a2 | a3 != a2 | a3 != a4 | a5 != a4 | a6 != a5 | 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: 0.00 seconds). Ground clauses: seen=25, kept=15. Selections=6, assignments=11, propagations=16, current_models=0. Rewrite_terms=88, rewrite_bools=25, indexes=0. Rules_from_neg_clauses=7, cross_offs=7. ============================== 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=7, assignments=14, propagations=60, current_models=0. Rewrite_terms=700, rewrite_bools=164, indexes=64. Rules_from_neg_clauses=23, cross_offs=45. ============================== 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=17, assignments=50, propagations=102, current_models=0. Rewrite_terms=1545, rewrite_bools=312, indexes=183. Rules_from_neg_clauses=23, cross_offs=105. ============================== end of statistics ===================== ============================== DOMAIN SIZE 5 ========================= ============================== STATISTICS ============================ For domain size 5. Current CPU time: 0.00 seconds (total CPU time: 0.00 seconds). Ground clauses: seen=166, kept=156. Selections=20, assignments=63, propagations=169, current_models=0. Rewrite_terms=2202, rewrite_bools=343, indexes=347. Rules_from_neg_clauses=31, cross_offs=250. ============================== end of statistics ===================== ============================== DOMAIN SIZE 6 ========================= ============================== STATISTICS ============================ For domain size 6. Current CPU time: 0.00 seconds (total CPU time: 0.00 seconds). Ground clauses: seen=269, kept=257. Selections=28, assignments=107, propagations=264, current_models=0. Rewrite_terms=5299, rewrite_bools=951, indexes=714. Rules_from_neg_clauses=30, cross_offs=431. ============================== end of statistics ===================== ============================== DOMAIN SIZE 7 ========================= ============================== STATISTICS ============================ For domain size 7. Current CPU time: 0.00 seconds (total CPU time: 0.00 seconds). Ground clauses: seen=410, kept=396. Selections=36, assignments=159, propagations=447, current_models=0. Rewrite_terms=10165, rewrite_bools=1769, indexes=1419. Rules_from_neg_clauses=64, cross_offs=881. ============================== end of statistics ===================== ============================== DOMAIN SIZE 8 ========================= ============================== STATISTICS ============================ For domain size 8. Current CPU time: 0.00 seconds (total CPU time: 0.00 seconds). Ground clauses: seen=595, kept=579. Selections=45, assignments=227, propagations=634, current_models=0. Rewrite_terms=13308, rewrite_bools=1937, indexes=2281. Rules_from_neg_clauses=61, cross_offs=1417. ============================== end of statistics ===================== ============================== DOMAIN SIZE 9 ========================= ============================== STATISTICS ============================ For domain size 9. Current CPU time: 0.00 seconds (total CPU time: 0.00 seconds). Ground clauses: seen=830, kept=812. Selections=56, assignments=322, propagations=976, current_models=0. Rewrite_terms=22086, rewrite_bools=3094, indexes=3789. Rules_from_neg_clauses=90, cross_offs=2534. ============================== end of statistics ===================== ============================== DOMAIN SIZE 10 ======================== ============================== STATISTICS ============================ For domain size 10. Current CPU time: 0.00 seconds (total CPU time: 0.01 seconds). Ground clauses: seen=1121, kept=1101. Selections=63, assignments=390, propagations=1199, current_models=0. Rewrite_terms=29049, rewrite_bools=3875, indexes=5298. Rules_from_neg_clauses=76, cross_offs=3538. ============================== end of statistics ===================== ============================== DOMAIN SIZE 11 ======================== ============================== STATISTICS ============================ For domain size 11. Current CPU time: 0.00 seconds (total CPU time: 0.01 seconds). Ground clauses: seen=1474, kept=1452. Selections=72, assignments=484, propagations=1773, current_models=0. Rewrite_terms=45542, rewrite_bools=6175, indexes=7655. Rules_from_neg_clauses=139, cross_offs=5603. ============================== end of statistics ===================== ============================== DOMAIN SIZE 12 ======================== ============================== STATISTICS ============================ For domain size 12. Current CPU time: 0.00 seconds (total CPU time: 0.05 seconds). Ground clauses: seen=1895, kept=1871. Selections=88, assignments=669, propagations=2731, current_models=0. Rewrite_terms=71283, rewrite_bools=9640, indexes=11623. Rules_from_neg_clauses=175, cross_offs=8878. ============================== end of statistics ===================== ============================== DOMAIN SIZE 13 ======================== ============================== STATISTICS ============================ For domain size 13. Current CPU time: 0.00 seconds (total CPU time: 0.06 seconds). Ground clauses: seen=2390, kept=2364. Selections=97, assignments=781, propagations=3198, current_models=0. Rewrite_terms=92909, rewrite_bools=12771, indexes=14568. Rules_from_neg_clauses=188, cross_offs=12117. ============================== end of statistics ===================== ============================== DOMAIN SIZE 14 ======================== ============================== STATISTICS ============================ For domain size 14. Current CPU time: 0.00 seconds (total CPU time: 0.09 seconds). Ground clauses: seen=2965, kept=2937. Selections=106, assignments=901, propagations=3774, current_models=0. Rewrite_terms=122490, rewrite_bools=17270, indexes=18836. Rules_from_neg_clauses=225, cross_offs=15680. ============================== end of statistics ===================== ============================== DOMAIN SIZE 15 ======================== ============================== MODEL ================================= interpretation( 15, [number=1, seconds=0], [ function(a1, [ 0 ]), function(a10, [ 1 ]), function(a2, [ 2 ]), function(a3, [ 2 ]), function(a4, [ 1 ]), function(a5, [ 3 ]), function(a6, [ 3 ]), function(a7, [ 7 ]), function(a8, [ 4 ]), function(a9, [11 ]), function(*(_,_), [ 0, 2, 1,10, 6, 9, 4,12,13, 3, 5, 0, 8, 7, 0, 2, 1, 0, 7, 3, 1,13,11, 9, 8,14, 4, 1,10, 6, 1, 0, 2, 2,12, 8, 5,10,11,14, 7, 6, 9, 2, 4, 5,11, 3, 3, 1,10,12, 4,14, 0, 9, 7, 6, 3, 8, 6, 7, 9,11, 4,13, 0, 3, 4,12, 4, 1,14, 5, 2, 3, 5,11, 9,13, 5, 2,14, 6,10, 0, 8, 5, 4, 7, 4,10, 8,12, 0,11, 6, 6, 5, 6,13, 2, 3,14, 1, 8, 4,10, 1,11,14, 7, 7,12, 7, 2, 3,13, 0, 5, 7, 9, 6,14, 8, 2,11,13, 8, 1, 8, 5, 0,12, 3, 10, 8, 4, 5,14, 0, 9, 9, 1, 9, 3,13, 2,11,12, 9, 6, 7, 0,10, 3,14, 2,10, 5,10,12,11, 1,13, 11, 3, 5, 4, 7, 6, 8, 1, 2,13,12,11,10, 9,11, 13,12,14, 6, 2,12, 3, 0, 7, 4,11,10,12, 8, 9, 12,14,13,13, 5, 4, 1, 8, 0,11, 6, 9, 7,13,10, 14,13,12, 8, 9, 7,10, 5, 3, 2, 1,14, 4, 6,14 ]) ]). ============================== end of model ========================== ============================== STATISTICS ============================ For domain size 15. Current CPU time: 0.00 seconds (total CPU time: 0.11 seconds). Ground clauses: seen=3626, kept=3596. Selections=45, assignments=264, propagations=996, current_models=1. Rewrite_terms=35329, rewrite_bools=5132, indexes=5740. Rules_from_neg_clauses=47, cross_offs=5074. ============================== end of statistics ===================== User_CPU=0.11, System_CPU=0.01, Wall_clock=0. Exiting with 1 model. Process 3884 exit (max_models) Wed Apr 17 23:57:38 2013 The process finished Wed Apr 17 23:57:38 2013