============================== Mace4 ================================= Mace4 (32) version Dec-2007, Dec 2007. Process 116 was started by Alexei on Alexei-PC, Thu Apr 18 00:05:51 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 * a10. 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 * 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 * a10. 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 * a3. a1 != a2 | a3 != a2 | a4 != a3 | a4 != a5 | a6 != a5 | a7 != a6 | a7 != a8 | a9 != a8 | a9 != a10. 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: 0.01 seconds). Ground clauses: seen=25, kept=15. Selections=5, assignments=9, propagations=17, current_models=0. Rewrite_terms=90, rewrite_bools=26, indexes=0. Rules_from_neg_clauses=6, cross_offs=6. ============================== 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=50, kept=44. Selections=6, assignments=12, propagations=57, current_models=0. Rewrite_terms=670, rewrite_bools=164, indexes=56. Rules_from_neg_clauses=18, cross_offs=35. ============================== 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=95, kept=87. Selections=13, assignments=37, propagations=94, current_models=0. Rewrite_terms=1331, rewrite_bools=273, indexes=151. Rules_from_neg_clauses=20, cross_offs=84. ============================== 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=166, kept=156. Selections=15, assignments=45, propagations=130, current_models=0. Rewrite_terms=1994, rewrite_bools=359, indexes=303. Rules_from_neg_clauses=21, cross_offs=189. ============================== end of statistics ===================== ============================== DOMAIN SIZE 6 ========================= ============================== STATISTICS ============================ For domain size 6. Current CPU time: 0.00 seconds (total CPU time: 0.01 seconds). Ground clauses: seen=269, kept=257. Selections=23, assignments=88, propagations=241, current_models=0. Rewrite_terms=4884, rewrite_bools=881, indexes=652. Rules_from_neg_clauses=25, cross_offs=355. ============================== end of statistics ===================== ============================== DOMAIN SIZE 7 ========================= ============================== STATISTICS ============================ For domain size 7. Current CPU time: 0.00 seconds (total CPU time: 0.01 seconds). Ground clauses: seen=410, kept=396. Selections=31, assignments=141, propagations=425, current_models=0. Rewrite_terms=9679, rewrite_bools=1606, indexes=1356. Rules_from_neg_clauses=58, cross_offs=825. ============================== end of statistics ===================== ============================== DOMAIN SIZE 8 ========================= ============================== STATISTICS ============================ For domain size 8. Current CPU time: 0.00 seconds (total CPU time: 0.01 seconds). Ground clauses: seen=595, kept=579. Selections=36, assignments=179, propagations=615, current_models=0. Rewrite_terms=14436, rewrite_bools=2241, indexes=2243. Rules_from_neg_clauses=74, cross_offs=1497. ============================== end of statistics ===================== ============================== DOMAIN SIZE 9 ========================= ============================== STATISTICS ============================ For domain size 9. Current CPU time: 0.00 seconds (total CPU time: 0.03 seconds). Ground clauses: seen=830, kept=812. Selections=50, assignments=298, propagations=1003, current_models=0. Rewrite_terms=23445, rewrite_bools=3557, indexes=3548. Rules_from_neg_clauses=103, cross_offs=2699. ============================== end of statistics ===================== ============================== DOMAIN SIZE 10 ======================== ============================== STATISTICS ============================ For domain size 10. Current CPU time: 0.00 seconds (total CPU time: 0.03 seconds). Ground clauses: seen=1121, kept=1101. Selections=57, assignments=366, propagations=1232, current_models=0. Rewrite_terms=29484, rewrite_bools=4153, indexes=4951. Rules_from_neg_clauses=73, cross_offs=3667. ============================== end of statistics ===================== ============================== DOMAIN SIZE 11 ======================== ============================== STATISTICS ============================ For domain size 11. Current CPU time: 0.00 seconds (total CPU time: 0.05 seconds). Ground clauses: seen=1474, kept=1452. Selections=65, assignments=450, propagations=1770, current_models=0. Rewrite_terms=43779, rewrite_bools=6026, indexes=7145. Rules_from_neg_clauses=123, cross_offs=5429. ============================== end of statistics ===================== ============================== DOMAIN SIZE 12 ======================== ============================== STATISTICS ============================ For domain size 12. Current CPU time: 0.00 seconds (total CPU time: 0.06 seconds). Ground clauses: seen=1895, kept=1871. Selections=76, assignments=576, propagations=2424, current_models=0. Rewrite_terms=66181, rewrite_bools=9383, indexes=10301. Rules_from_neg_clauses=165, cross_offs=8215. ============================== end of statistics ===================== ============================== DOMAIN SIZE 13 ======================== ============================== STATISTICS ============================ For domain size 13. Current CPU time: 0.00 seconds (total CPU time: 0.08 seconds). Ground clauses: seen=2390, kept=2364. Selections=87, assignments=714, propagations=2974, current_models=0. Rewrite_terms=86911, rewrite_bools=11924, indexes=13803. Rules_from_neg_clauses=188, cross_offs=11542. ============================== end of statistics ===================== ============================== DOMAIN SIZE 14 ======================== ============================== STATISTICS ============================ For domain size 14. Current CPU time: 0.00 seconds (total CPU time: 0.11 seconds). Ground clauses: seen=2965, kept=2937. Selections=97, assignments=848, propagations=3668, current_models=0. Rewrite_terms=114322, rewrite_bools=15716, indexes=18046. Rules_from_neg_clauses=236, cross_offs=15383. ============================== 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: 0.12 seconds). Ground clauses: seen=3626, kept=3596. Selections=39, assignments=235, propagations=926, current_models=1. Rewrite_terms=33348, rewrite_bools=4997, indexes=5242. Rules_from_neg_clauses=47, cross_offs=4791. ============================== end of statistics ===================== User_CPU=0.12, System_CPU=0.01, Wall_clock=0. Exiting with 1 model. Process 116 exit (max_models) Thu Apr 18 00:05:51 2013 The process finished Thu Apr 18 00:05:51 2013