============================== Mace4 ================================= Mace4 (32) version Dec-2007, Dec 2007. Process 3772 was started by Alexei on Alexei-PC, Sun Mar 17 18:40:41 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,-1). end_if. formulas(assumptions). x * x = x. (x * y) * y = x. (x * y) * z = (x * z) * (y * z). a2 = a1 * a7. a3 = a2 * a10. a4 = a3 * a1. a5 = a4 * a8. a6 = a5 * a9. a7 = a6 * a2. a8 = a7 * a4. a9 = a8 * a5. a10 = a9 * a6. 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 * a7. a3 = a2 * a10. a4 = a3 * a1. a5 = a4 * a8. a6 = a5 * a9. a7 = a6 * a2. a8 = a7 * a4. a9 = a8 * a5. a10 = a9 * a6. a1 = a10 * a3. a1 != a2 | a3 != a2 | a4 != a3 | a5 != a4 | a6 != a5 | a6 != a7 | a8 != a7 | 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: 0.00 seconds). Ground clauses: seen=25, kept=15. Selections=5, assignments=9, propagations=15, current_models=0. Rewrite_terms=79, rewrite_bools=22, 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: 0.00 seconds). Ground clauses: seen=50, kept=44. Selections=7, assignments=15, propagations=55, current_models=0. Rewrite_terms=548, rewrite_bools=115, indexes=61. Rules_from_neg_clauses=10, cross_offs=30. ============================== 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=14, assignments=41, propagations=104, current_models=0. Rewrite_terms=1482, rewrite_bools=309, indexes=175. Rules_from_neg_clauses=17, cross_offs=83. ============================== 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=70, propagations=167, current_models=0. Rewrite_terms=2753, rewrite_bools=510, indexes=372. Rules_from_neg_clauses=23, cross_offs=204. ============================== 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=22, assignments=84, propagations=239, current_models=0. Rewrite_terms=4486, rewrite_bools=789, indexes=665. Rules_from_neg_clauses=35, cross_offs=369. ============================== 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=28, assignments=124, propagations=404, current_models=0. Rewrite_terms=8434, rewrite_bools=1374, indexes=1211. Rules_from_neg_clauses=42, cross_offs=808. ============================== 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=31, assignments=148, propagations=585, current_models=0. Rewrite_terms=13435, rewrite_bools=2128, indexes=1967. Rules_from_neg_clauses=69, cross_offs=1479. ============================== end of statistics ===================== ============================== DOMAIN SIZE 9 ========================= ============================== STATISTICS ============================ For domain size 9. Current CPU time: 0.00 seconds (total CPU time: 0.01 seconds). Ground clauses: seen=830, kept=812. Selections=39, assignments=217, propagations=829, current_models=0. Rewrite_terms=19727, rewrite_bools=2976, indexes=3003. Rules_from_neg_clauses=94, cross_offs=2486. ============================== 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=42, assignments=247, propagations=1023, current_models=0. Rewrite_terms=25504, rewrite_bools=3618, indexes=4146. Rules_from_neg_clauses=99, cross_offs=3441. ============================== end of statistics ===================== ============================== DOMAIN SIZE 11 ======================== ============================== STATISTICS ============================ For domain size 11. Current CPU time: 0.00 seconds (total CPU time: 0.03 seconds). Ground clauses: seen=1474, kept=1452. Selections=48, assignments=311, propagations=1411, current_models=0. Rewrite_terms=38810, rewrite_bools=5702, indexes=5715. Rules_from_neg_clauses=118, cross_offs=4986. ============================== 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=54, assignments=381, propagations=1989, current_models=0. Rewrite_terms=52659, rewrite_bools=7054, indexes=8114. Rules_from_neg_clauses=175, cross_offs=7037. ============================== 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=62, assignments=483, propagations=2532, current_models=0. Rewrite_terms=68562, rewrite_bools=9396, indexes=10445. Rules_from_neg_clauses=205, cross_offs=9355. ============================== 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=65, assignments=525, propagations=2877, current_models=0. Rewrite_terms=84079, rewrite_bools=11250, indexes=12693. Rules_from_neg_clauses=197, cross_offs=11675. ============================== end of statistics ===================== ============================== DOMAIN SIZE 15 ======================== ============================== MODEL ================================= interpretation( 15, [number=1, seconds=0], [ function(a1, [ 0 ]), function(a10, [ 1 ]), function(a2, [ 0 ]), function(a3, [ 2 ]), function(a4, [ 1 ]), function(a5, [ 8 ]), function(a6, [ 3 ]), function(a7, [ 3 ]), function(a8, [ 4 ]), function(a9, [ 6 ]), function(*(_,_), [ 0, 2, 1, 0, 9,10, 7, 6,12, 5, 4,13,11, 8, 0, 2, 1, 0, 6, 8, 1, 4,13, 3,14,11,10, 1, 9, 7, 1, 0, 2, 7, 2,11,12, 5, 9, 8,14, 3,10, 2, 6, 3, 4, 5, 3, 6, 7, 8,11, 1,12,13, 2, 9,10, 3, 5, 3, 4, 8, 4, 9, 1,12, 6,10, 0,14, 7, 4,11, 4, 5, 3,11,10, 5,13, 2,14, 0, 9, 7, 5, 6, 8, 7, 8,10, 1, 3,13, 6, 0, 4, 6,12, 6,14, 5, 2, 6, 9,11, 2,12, 3, 0, 7, 7,13, 7, 5, 4,14, 1, 11, 6, 9, 4, 1,14, 3, 8, 8, 2, 8,12,13, 0, 5, 10, 7, 8,12, 0, 4, 9,14, 2, 9, 5, 9, 3, 1,13, 9,11, 6,13, 5, 0,14,10,10, 4,10, 1, 2, 3,12, 8,10, 7, 5,14, 2,11, 3,13,11, 1,11, 0,12, 4, 13,12,14, 9, 7,12, 2, 4, 0, 3, 6, 8,12,11,10, 12,14,13,10,13, 6, 5, 1,11, 7, 3, 0, 8,13, 9, 14,13,12,14,11, 8,10, 9, 5, 1, 2, 4, 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=25, assignments=137, propagations=735, current_models=1. Rewrite_terms=21668, rewrite_bools=3975, indexes=2412. Rules_from_neg_clauses=33, cross_offs=2070. ============================== end of statistics ===================== User_CPU=0.11, System_CPU=0.00, Wall_clock=0. Exiting with 1 model. Process 3772 exit (max_models) Sun Mar 17 18:40:41 2013 The process finished Sun Mar 17 18:40:41 2013