============================== Mace4 ================================= Mace4 (32) version Dec-2007, Dec 2007. Process 3608 was started by Alexei on Alexei-PC, Sun Mar 17 18:42:43 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 * a1. a5 = a4 * a8. a6 = a5 * a9. a7 = a6 * a10. a8 = a7 * a3. a9 = a8 * a5. a10 = a9 * a6. 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 * a7. a4 = a3 * a1. a5 = a4 * a8. a6 = a5 * a9. a7 = a6 * a10. a8 = a7 * a3. a9 = a8 * a5. a10 = a9 * a6. a1 = a10 * a2. 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: 0.01 seconds). Ground clauses: seen=25, kept=15. Selections=6, assignments=11, propagations=15, current_models=0. Rewrite_terms=85, rewrite_bools=24, 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: 0.01 seconds). Ground clauses: seen=50, kept=44. Selections=7, assignments=14, propagations=59, current_models=0. Rewrite_terms=620, rewrite_bools=132, indexes=64. Rules_from_neg_clauses=20, cross_offs=44. ============================== 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=17, assignments=50, propagations=108, current_models=0. Rewrite_terms=1687, rewrite_bools=348, indexes=200. Rules_from_neg_clauses=22, cross_offs=105. ============================== 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=22, assignments=74, propagations=177, current_models=0. Rewrite_terms=2587, rewrite_bools=426, indexes=371. Rules_from_neg_clauses=34, cross_offs=266. ============================== 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=26, assignments=98, propagations=258, current_models=0. Rewrite_terms=4966, rewrite_bools=895, indexes=690. Rules_from_neg_clauses=39, cross_offs=459. ============================== 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=32, assignments=139, propagations=447, current_models=0. Rewrite_terms=7750, rewrite_bools=1149, indexes=1175. Rules_from_neg_clauses=73, cross_offs=878. ============================== end of statistics ===================== ============================== DOMAIN SIZE 8 ========================= ============================== STATISTICS ============================ For domain size 8. Current CPU time: 0.00 seconds (total CPU time: 0.03 seconds). Ground clauses: seen=595, kept=579. Selections=36, assignments=170, propagations=506, current_models=0. Rewrite_terms=10525, rewrite_bools=1574, indexes=1678. Rules_from_neg_clauses=54, cross_offs=1229. ============================== 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=44, assignments=241, propagations=918, current_models=0. Rewrite_terms=20996, rewrite_bools=3278, indexes=3074. Rules_from_neg_clauses=86, cross_offs=2176. ============================== 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=47, assignments=272, propagations=1086, current_models=0. Rewrite_terms=25807, rewrite_bools=3730, indexes=4295. Rules_from_neg_clauses=86, cross_offs=2902. ============================== 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=52, assignments=324, propagations=1336, current_models=0. Rewrite_terms=32890, rewrite_bools=4476, indexes=5328. Rules_from_neg_clauses=98, cross_offs=4365. ============================== 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=64, assignments=462, propagations=2215, current_models=0. Rewrite_terms=58610, rewrite_bools=8202, indexes=8473. Rules_from_neg_clauses=144, cross_offs=6728. ============================== 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=72, assignments=563, propagations=2715, current_models=0. Rewrite_terms=71059, rewrite_bools=9061, indexes=10885. Rules_from_neg_clauses=170, cross_offs=8923. ============================== 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=76, assignments=617, propagations=3116, current_models=0. Rewrite_terms=93618, rewrite_bools=12373, indexes=13382. Rules_from_neg_clauses=200, cross_offs=12008. ============================== 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, [ 8 ]), function(a6, [ 4 ]), function(a7, [ 3 ]), function(a8, [ 3 ]), function(a9, [ 6 ]), function(*(_,_), [ 0, 2, 1, 9, 0,10, 7, 6,12, 5, 3,13,11, 8, 0, 2, 1, 0, 8, 6, 1, 3,13, 4,14,11,10, 1, 9, 7, 1, 0, 2, 2, 7,11,12, 5, 9, 8,14, 4,10, 2, 6, 5, 4, 3, 3, 8, 9, 1,12, 6,10, 0,14, 7, 3,11, 4, 3, 5, 6, 4, 7, 8,11, 1,12,13, 2, 9,10, 4, 3, 5, 4,10,11, 5,13, 2,14, 0, 9, 7, 5, 6, 8, 7, 8,10, 4, 1,13, 6, 0, 3, 6,12, 6,14, 5, 2, 6, 9,11,12, 2, 4, 0, 7, 7,13, 7, 5, 3,14, 1, 11, 6, 9, 1, 3,14, 4, 8, 8, 2, 8,12,13, 0, 5, 10, 7, 8, 0,12, 3, 9,14, 2, 9, 5, 9, 4, 1,13, 9,11, 6, 5,13, 0,14,10,10, 3,10, 1, 2, 4,12, 8,10, 7,14, 5, 2,11, 4,13,11, 1,11, 0,12, 3, 13,12,14, 7, 9,12, 2, 3, 0, 4, 6, 8,12,11,10, 12,14,13,13,10, 6, 5, 1,11, 7, 4, 0, 8,13, 9, 14,13,12,11,14, 8,10, 9, 5, 1, 2, 3, 6, 7,14 ]) ]). ============================== 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=34, assignments=181, propagations=858, current_models=1. Rewrite_terms=25719, rewrite_bools=4389, indexes=3240. Rules_from_neg_clauses=44, cross_offs=3001. ============================== end of statistics ===================== User_CPU=0.12, System_CPU=0.01, Wall_clock=0. Exiting with 1 model. Process 3608 exit (max_models) Sun Mar 17 18:42:43 2013 The process finished Sun Mar 17 18:42:43 2013