============================== Mace4 ================================= Mace4 (32) version Dec-2007, Dec 2007. Process 3456 was started by Alexei on Alexei-PC, Sat Mar 16 03:00:41 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,60). end_if. formulas(assumptions). x * x = x. (x * y) * y = x. (x * y) * z = (x * z) * (y * z). a2 = a1 * a9. a3 = a2 * a7. a4 = a3 * a1. a5 = a4 * a2. a6 = a5 * a8. a7 = a6 * a3. a8 = a7 * a5. a9 = a8 * a6. a1 = a9 * a4. end_of_list. formulas(goals). a1 = a2 & a2 = a3 & a3 = a4 & a4 = a5 & a5 = a6 & a6 = a7 & a7 = a8 & a8 = a9. 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 # 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 * a9. a3 = a2 * a7. a4 = a3 * a1. a5 = a4 * a2. a6 = a5 * a8. a7 = a6 * a3. a8 = a7 * a5. a9 = a8 * a6. a1 = a9 * a4. a1 != a2 | a3 != a2 | a4 != a3 | a5 != a4 | a6 != a5 | a6 != a7 | a8 != a7 | a8 != 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=24, kept=14. Selections=4, assignments=7, propagations=14, current_models=0. Rewrite_terms=69, rewrite_bools=20, 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=49, kept=43. Selections=5, assignments=10, propagations=47, current_models=0. Rewrite_terms=446, rewrite_bools=95, indexes=49. Rules_from_neg_clauses=13, cross_offs=33. ============================== 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=94, kept=86. Selections=10, assignments=28, propagations=79, current_models=0. Rewrite_terms=1103, rewrite_bools=223, indexes=143. Rules_from_neg_clauses=13, cross_offs=62. ============================== 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=165, kept=155. Selections=13, assignments=43, propagations=142, current_models=0. Rewrite_terms=2072, rewrite_bools=355, indexes=273. Rules_from_neg_clauses=26, cross_offs=192. ============================== 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=268, kept=256. Selections=16, assignments=61, propagations=213, current_models=0. Rewrite_terms=4844, rewrite_bools=1013, indexes=498. Rules_from_neg_clauses=28, cross_offs=338. ============================== 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=409, kept=395. Selections=19, assignments=81, propagations=286, current_models=0. Rewrite_terms=5142, rewrite_bools=771, indexes=732. Rules_from_neg_clauses=35, cross_offs=580. ============================== 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=594, kept=578. Selections=21, assignments=96, propagations=320, current_models=0. Rewrite_terms=7008, rewrite_bools=1019, indexes=1116. Rules_from_neg_clauses=33, cross_offs=859. ============================== 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=829, kept=811. Selections=26, assignments=138, propagations=561, current_models=0. Rewrite_terms=13315, rewrite_bools=1900, indexes=1890. Rules_from_neg_clauses=46, cross_offs=1476. ============================== 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=1120, kept=1100. Selections=28, assignments=157, propagations=659, current_models=0. Rewrite_terms=14136, rewrite_bools=1649, indexes=2458. Rules_from_neg_clauses=46, cross_offs=2053. ============================== 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=1473, kept=1451. Selections=34, assignments=219, propagations=1056, current_models=0. Rewrite_terms=26064, rewrite_bools=3290, indexes=3868. Rules_from_neg_clauses=70, cross_offs=3347. ============================== 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=1894, kept=1870. Selections=40, assignments=288, propagations=1500, current_models=0. Rewrite_terms=41833, rewrite_bools=6113, indexes=5835. Rules_from_neg_clauses=111, cross_offs=4896. ============================== 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=2389, kept=2363. Selections=48, assignments=389, propagations=2118, current_models=0. Rewrite_terms=59551, rewrite_bools=8478, indexes=8146. Rules_from_neg_clauses=116, cross_offs=7090. ============================== 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=2964, kept=2936. Selections=51, assignments=430, propagations=2583, current_models=0. Rewrite_terms=76850, rewrite_bools=10824, indexes=10655. Rules_from_neg_clauses=136, cross_offs=9577. ============================== end of statistics ===================== ============================== DOMAIN SIZE 15 ======================== ============================== MODEL ================================= interpretation( 15, [number=1, seconds=0], [ function(a1, [ 0 ]), function(a2, [ 1 ]), function(a3, [ 1 ]), function(a4, [ 3 ]), function(a5, [ 2 ]), function(a6, [ 5 ]), function(a7, [ 5 ]), function(a8, [ 6 ]), function(a9, [ 2 ]), function(*(_,_), [ 0, 4, 1, 2, 3, 7, 0, 8,12,11,14, 9, 5, 0,10, 3, 1, 0, 4, 2, 1, 7, 9,11,10, 6, 8,13,12, 1, 4, 3, 2, 0, 1, 6, 5, 2,14,13,12, 2,10, 8, 9, 1, 2, 4, 3, 0, 9,12,13, 3, 5, 3,14,11, 7, 6, 2, 0, 3, 1, 4,10, 8,14, 6, 4,11,13, 4, 5, 7, 8, 5, 6, 9,11, 5, 2,12, 7, 3,13,10, 0, 4, 5, 6, 9, 5,11, 8, 2, 6,10, 4, 7, 1,12,14, 6, 3, 12,10, 7,13,14, 0, 1, 7, 5, 6, 9, 7, 8, 3, 4, 5,11, 9, 8, 6,12, 4, 0, 8,14, 8, 1, 7, 2,13, 11, 6, 8, 5, 9, 3,10, 1,13, 9, 7, 0, 9,14, 2, 14, 7,12,10,13, 4, 9, 6,10, 1,10, 5, 2,11, 0, 9, 8,11, 6, 5,13,14,11, 1, 0, 4,11, 3,10,12, 7,13,10,14,12, 8, 3, 5, 0,12, 2, 6,12, 1,11, 13,12,14, 7,10,11,13, 3, 9, 2, 5, 4, 1,13, 8, 10,14,13,12, 7,14,11, 4, 2, 8, 0, 3, 6, 9,14 ]) ]). ============================== end of model ========================== ============================== STATISTICS ============================ For domain size 15. Current CPU time: 0.00 seconds (total CPU time: 0.11 seconds). Ground clauses: seen=3625, kept=3595. Selections=25, assignments=147, propagations=673, current_models=1. Rewrite_terms=22848, rewrite_bools=4099, indexes=2629. Rules_from_neg_clauses=33, cross_offs=2316. ============================== end of statistics ===================== User_CPU=0.11, System_CPU=0.01, Wall_clock=0. Exiting with 1 model. Process 3456 exit (max_models) Sat Mar 16 03:00:41 2013 The process finished Sat Mar 16 03:00:41 2013