----- Otter 3.3f, August 2004 ----- The process was started by mccune on gyro.thornwood, Mon Aug 2 15:30:35 2004 The command was "../../bin/otter". The process ID is 8268. set(auto). dependent: set(auto1). dependent: set(process_input). dependent: clear(print_kept). dependent: clear(print_new_demod). dependent: clear(print_back_demod). dependent: clear(print_back_sub). dependent: set(control_memory). dependent: assign(max_mem, 12000). dependent: assign(pick_given_ratio, 4). dependent: assign(stats_level, 1). dependent: assign(max_seconds, 10800). list(usable). 0 [] x=x. 0 [] f(e,x)=x. 0 [] f(g(x),x)=e. 0 [] f(f(x,y),z)=f(x,f(y,z)). end_of_list. SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1. All clauses are units, and equality is present; the strategy will be Knuth-Bendix with positive clauses in sos. dependent: set(knuth_bendix). dependent: set(anl_eq). dependent: set(para_from). dependent: set(para_into). dependent: clear(para_from_right). dependent: clear(para_into_right). dependent: set(para_from_vars). dependent: set(eq_units_both_ways). dependent: set(dynamic_demod_all). dependent: set(dynamic_demod). dependent: set(order_eq). dependent: set(back_demod). dependent: set(lrpo). There is no negative clause, so all clause lists will be printed at the end of the search. dependent: set(print_lists_at_end). ------------> process usable: ------------> process sos: ** KEPT (pick-wt=3): 1 [] x=x. ** KEPT (pick-wt=5): 2 [] f(e,x)=x. ---> New Demodulator: 3 [new_demod,2] f(e,x)=x. ** KEPT (pick-wt=6): 4 [] f(g(x),x)=e. ---> New Demodulator: 5 [new_demod,4] f(g(x),x)=e. ** KEPT (pick-wt=11): 6 [] f(f(x,y),z)=f(x,f(y,z)). ---> New Demodulator: 7 [new_demod,6] f(f(x,y),z)=f(x,f(y,z)). Following clause subsumed by 1 during input processing: 0 [copy,1,flip.1] x=x. >>>> Starting back demodulation with 3. >>>> Starting back demodulation with 5. >>>> Starting back demodulation with 7. ======= end of input processing ======= =========== start of search =========== given clause #1: (wt=3) 1 [] x=x. given clause #2: (wt=5) 2 [] f(e,x)=x. given clause #3: (wt=6) 4 [] f(g(x),x)=e. given clause #4: (wt=11) 6 [] f(f(x,y),z)=f(x,f(y,z)). given clause #5: (wt=8) 8 [para_into,6.1.1.1,4.1.1,demod,3,flip.1] f(g(x),f(x,y))=y. given clause #6: (wt=9) 10 [para_into,8.1.1.2,8.1.1] f(g(g(x)),y)=f(x,y). given clause #7: (wt=5) 14 [para_into,8.1.1.2,4.1.1,demod,11] f(x,e)=x. given clause #8: (wt=4) 24 [para_into,14.1.1,4.1.1,flip.1] g(e)=e. given clause #9: (wt=5) 22 [para_into,14.1.1,10.1.1,demod,15,flip.1] g(g(x))=x. given clause #10: (wt=6) 20 [para_into,10.1.1,4.1.1,flip.1] f(x,g(x))=e. given clause #11: (wt=12) 12 [para_into,8.1.1.2,6.1.1] f(g(f(x,y)),f(x,f(y,z)))=z. given clause #12: (wt=8) 18 [para_into,10.1.1,8.1.1,flip.1] f(x,f(g(x),y))=y. given clause #13: (wt=9) 30 [para_into,12.1.1.2.2,20.1.1,demod,15] f(g(f(x,y)),x)=g(y). given clause #14: (wt=10) 44 [para_into,30.1.1.1.1,8.1.1,flip.1] g(f(x,y))=f(g(y),g(x)). Search stopped because sos empty. Search stopped because sos empty. ============ end of search ============ list(usable). 1 [] x=x. 2 [] f(e,x)=x. 4 [] f(g(x),x)=e. 6 [] f(f(x,y),z)=f(x,f(y,z)). 8 [para_into,6.1.1.1,4.1.1,demod,3,flip.1] f(g(x),f(x,y))=y. 14 [para_into,8.1.1.2,4.1.1,demod,11] f(x,e)=x. 24 [para_into,14.1.1,4.1.1,flip.1] g(e)=e. 22 [para_into,14.1.1,10.1.1,demod,15,flip.1] g(g(x))=x. 20 [para_into,10.1.1,4.1.1,flip.1] f(x,g(x))=e. 18 [para_into,10.1.1,8.1.1,flip.1] f(x,f(g(x),y))=y. 44 [para_into,30.1.1.1.1,8.1.1,flip.1] g(f(x,y))=f(g(y),g(x)). end_of_list. list(sos). end_of_list. list(demodulators). 3 [new_demod,2] f(e,x)=x. 5 [new_demod,4] f(g(x),x)=e. 7 [new_demod,6] f(f(x,y),z)=f(x,f(y,z)). 9 [new_demod,8] f(g(x),f(x,y))=y. 15 [new_demod,14] f(x,e)=x. 19 [new_demod,18] f(x,f(g(x),y))=y. 21 [new_demod,20] f(x,g(x))=e. 23 [new_demod,22] g(g(x))=x. 25 [new_demod,24] g(e)=e. 45 [new_demod,44] g(f(x,y))=f(g(y),g(x)). end_of_list. -------------- statistics ------------- clauses given 14 clauses generated 128 clauses kept 23 clauses forward subsumed 122 clauses back subsumed 0 Kbytes malloced 976 ----------- times (seconds) ----------- user CPU time 0.00 (0 hr, 0 min, 0 sec) system CPU time 0.00 (0 hr, 0 min, 0 sec) wall-clock time 0 (0 hr, 0 min, 0 sec) Process 8268 finished Mon Aug 2 15:30:35 2004