============================== Mace4 ================================= Mace4 (32) version Dec-2007, Dec 2007. Process 3884 was started by Alexei on Alexei-PC, Wed Apr 17 19:13:34 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 * a6. a4 = a3 * a1. a5 = a4 * a8. a6 = a5 * a9. a7 = a6 * a2. 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 * a6. a4 = a3 * a1. a5 = a4 * a8. a6 = a5 * a9. a7 = a6 * a2. a8 = a7 * a10. a9 = a8 * a5. a10 = a9 * a6. a1 = a10 * a2. a1 != a2 | a3 != a2 | a3 != a4 | a5 != a4 | a5 != a6 | 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: 0.01 seconds). Ground clauses: seen=25, kept=15. Selections=6, assignments=11, propagations=15, current_models=0. Rewrite_terms=87, 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: 0.01 seconds). Ground clauses: seen=50, kept=44. Selections=8, assignments=17, propagations=59, current_models=0. Rewrite_terms=632, rewrite_bools=136, indexes=60. Rules_from_neg_clauses=20, cross_offs=42. ============================== 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=16, assignments=47, propagations=97, current_models=0. Rewrite_terms=1412, rewrite_bools=286, indexes=167. Rules_from_neg_clauses=20, cross_offs=104. ============================== 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=21, assignments=71, propagations=169, current_models=0. Rewrite_terms=2505, rewrite_bools=418, indexes=346. Rules_from_neg_clauses=33, cross_offs=264. ============================== 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=25, assignments=95, propagations=266, current_models=0. Rewrite_terms=5034, rewrite_bools=864, indexes=732. Rules_from_neg_clauses=38, cross_offs=451. ============================== 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=136, propagations=482, current_models=0. Rewrite_terms=8852, rewrite_bools=1345, indexes=1283. Rules_from_neg_clauses=91, cross_offs=927. ============================== 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=175, propagations=525, current_models=0. Rewrite_terms=11777, rewrite_bools=1789, indexes=1787. Rules_from_neg_clauses=63, cross_offs=1321. ============================== 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=43, assignments=237, propagations=946, current_models=0. Rewrite_terms=21019, rewrite_bools=3031, indexes=3251. Rules_from_neg_clauses=90, cross_offs=2218. ============================== 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=45, assignments=259, propagations=1103, current_models=0. Rewrite_terms=25288, rewrite_bools=3270, indexes=4464. Rules_from_neg_clauses=98, cross_offs=3043. ============================== 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=51, assignments=321, propagations=1382, current_models=0. Rewrite_terms=34131, rewrite_bools=4330, indexes=5732. Rules_from_neg_clauses=135, cross_offs=4714. ============================== 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=63, assignments=459, propagations=2194, current_models=0. Rewrite_terms=56678, rewrite_bools=7469, indexes=8786. Rules_from_neg_clauses=143, cross_offs=7073. ============================== 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=573, propagations=2860, current_models=0. Rewrite_terms=74395, rewrite_bools=9535, indexes=11491. Rules_from_neg_clauses=296, cross_offs=9507. ============================== 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=627, propagations=3127, current_models=0. Rewrite_terms=94655, rewrite_bools=12314, indexes=13911. Rules_from_neg_clauses=225, cross_offs=12345. ============================== 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: 0.11 seconds). Ground clauses: seen=3626, kept=3596. Selections=33, assignments=178, propagations=870, current_models=1. Rewrite_terms=26700, rewrite_bools=4462, indexes=3446. Rules_from_neg_clauses=54, cross_offs=3228. ============================== 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 19:13:34 2013 The process finished Wed Apr 17 19:13:34 2013