============================== Mace4 ================================= Mace4 (32) version Dec-2007, Dec 2007. Process 3324 was started by Alexei on Alexei-PC, Sat Mar 16 12:11:48 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 * a3. a8 = a7 * a10. 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 * a3. a8 = a7 * a10. 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: 0.03 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: 0.03 seconds). Ground clauses: seen=50, kept=44. Selections=7, assignments=14, propagations=59, current_models=0. Rewrite_terms=616, rewrite_bools=131, indexes=64. Rules_from_neg_clauses=21, cross_offs=45. ============================== end of statistics ===================== ============================== DOMAIN SIZE 4 ========================= ============================== STATISTICS ============================ For domain size 4. Current CPU time: 0.00 seconds (total CPU time: 0.03 seconds). Ground clauses: seen=95, kept=87. Selections=17, assignments=50, propagations=111, current_models=0. Rewrite_terms=1709, rewrite_bools=352, indexes=199. Rules_from_neg_clauses=22, cross_offs=104. ============================== end of statistics ===================== ============================== DOMAIN SIZE 5 ========================= ============================== STATISTICS ============================ For domain size 5. Current CPU time: 0.00 seconds (total CPU time: 0.03 seconds). Ground clauses: seen=166, kept=156. Selections=23, assignments=79, propagations=176, current_models=0. Rewrite_terms=2696, rewrite_bools=469, indexes=382. Rules_from_neg_clauses=35, cross_offs=272. ============================== end of statistics ===================== ============================== DOMAIN SIZE 6 ========================= ============================== STATISTICS ============================ For domain size 6. Current CPU time: 0.00 seconds (total CPU time: 0.03 seconds). Ground clauses: seen=269, kept=257. Selections=27, assignments=104, propagations=248, current_models=0. Rewrite_terms=4850, rewrite_bools=895, indexes=698. Rules_from_neg_clauses=38, cross_offs=446. ============================== end of statistics ===================== ============================== DOMAIN SIZE 7 ========================= ============================== STATISTICS ============================ For domain size 7. Current CPU time: 0.00 seconds (total CPU time: 0.03 seconds). Ground clauses: seen=410, kept=396. Selections=33, assignments=143, propagations=416, current_models=0. Rewrite_terms=9092, rewrite_bools=1591, indexes=1238. Rules_from_neg_clauses=65, cross_offs=917. ============================== 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=39, assignments=190, propagations=542, current_models=0. Rewrite_terms=12559, rewrite_bools=1982, indexes=1948. Rules_from_neg_clauses=64, cross_offs=1353. ============================== end of statistics ===================== ============================== DOMAIN SIZE 9 ========================= ============================== STATISTICS ============================ For domain size 9. Current CPU time: 0.00 seconds (total CPU time: 0.05 seconds). Ground clauses: seen=830, kept=812. Selections=45, assignments=244, propagations=864, current_models=0. Rewrite_terms=20675, rewrite_bools=3077, indexes=3153. Rules_from_neg_clauses=83, cross_offs=2184. ============================== end of statistics ===================== ============================== DOMAIN SIZE 10 ======================== ============================== STATISTICS ============================ For domain size 10. Current CPU time: 0.00 seconds (total CPU time: 0.05 seconds). Ground clauses: seen=1121, kept=1101. Selections=50, assignments=294, propagations=1081, current_models=0. Rewrite_terms=27511, rewrite_bools=4004, indexes=4406. Rules_from_neg_clauses=98, cross_offs=3073. ============================== end of statistics ===================== ============================== DOMAIN SIZE 11 ======================== ============================== STATISTICS ============================ For domain size 11. Current CPU time: 0.00 seconds (total CPU time: 0.06 seconds). Ground clauses: seen=1474, kept=1452. Selections=55, assignments=347, propagations=1310, current_models=0. Rewrite_terms=34481, rewrite_bools=4783, indexes=5486. Rules_from_neg_clauses=106, cross_offs=4419. ============================== end of statistics ===================== ============================== DOMAIN SIZE 12 ======================== ============================== STATISTICS ============================ For domain size 12. Current CPU time: 0.00 seconds (total CPU time: 0.08 seconds). Ground clauses: seen=1895, kept=1871. Selections=66, assignments=472, propagations=2034, current_models=0. Rewrite_terms=58029, rewrite_bools=8709, indexes=8331. Rules_from_neg_clauses=140, cross_offs=6796. ============================== end of statistics ===================== ============================== DOMAIN SIZE 13 ======================== ============================== STATISTICS ============================ For domain size 13. Current CPU time: 0.00 seconds (total CPU time: 0.09 seconds). Ground clauses: seen=2390, kept=2364. Selections=76, assignments=598, propagations=2725, current_models=0. Rewrite_terms=78005, rewrite_bools=11001, indexes=11463. Rules_from_neg_clauses=187, cross_offs=9595. ============================== end of statistics ===================== ============================== DOMAIN SIZE 14 ======================== ============================== STATISTICS ============================ For domain size 14. Current CPU time: 0.00 seconds (total CPU time: 0.12 seconds). Ground clauses: seen=2965, kept=2937. Selections=82, assignments=681, propagations=3251, current_models=0. Rewrite_terms=100829, rewrite_bools=14245, indexes=14616. Rules_from_neg_clauses=197, cross_offs=12415. ============================== 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, [ 3 ]), function(a7, [ 3 ]), function(a8, [ 5 ]), function(a9, [ 6 ]), function(*(_,_), [ 0, 2, 1, 7, 9, 0,12, 4,11, 3,14, 8,10, 0, 6, 2, 1, 0, 6, 1, 8, 5,13, 3,10, 9,14, 1,11, 7, 1, 0, 2, 2,10,11, 7, 6,12,13, 5, 4, 9, 8, 2, 4, 5, 3, 3, 7, 6, 8, 9, 1, 0,13,12,11,10, 3, 3, 4, 5, 9, 4,10,13, 0,14, 7,11, 2, 4, 6, 8, 5, 3, 4, 8,11, 5, 1,12, 6,14, 2,10, 7, 5, 9, 10, 8, 7, 1,13, 3, 6, 2, 5, 6,12, 6,14, 4, 0, 9,11, 6, 0, 3,12, 2, 7, 7, 4, 7,13, 5,14, 1, 11, 6, 9, 5,14, 1, 3, 8, 8,12, 8, 0,13, 2, 4, 7,10, 8, 4, 0,14, 9, 3,13, 9, 1, 9, 2,12, 5, 6, 9,11,13, 2, 4,14,10,10, 1,10, 5, 0, 3,12, 8, 7,10,12, 5, 2,11,14, 0,11, 4,11, 3, 1,13, 14,12,13,11,12, 7, 0, 5, 2, 8, 6, 3,12, 9,10, 13,14,12,10, 6,13, 4, 1, 9, 2, 3, 7, 8,13,11, 12,13,14,14, 8, 9,10,11, 4, 5, 0, 1, 6, 7,14 ]) ]). ============================== end of model ========================== ============================== STATISTICS ============================ For domain size 15. Current CPU time: 0.00 seconds (total CPU time: 0.14 seconds). Ground clauses: seen=3626, kept=3596. Selections=31, assignments=162, propagations=763, current_models=1. Rewrite_terms=23205, rewrite_bools=4162, indexes=2663. Rules_from_neg_clauses=39, cross_offs=2495. ============================== end of statistics ===================== User_CPU=0.14, System_CPU=0.00, Wall_clock=0. Exiting with 1 model. Process 3324 exit (max_models) Sat Mar 16 12:11:48 2013 The process finished Sat Mar 16 12:11:48 2013