----- Otter 3.0.4, August 1995 -----
The job was started by Macintosh user on a Macintosh, Tue Jan 27 22:39:15 1998
The command was "OTTER 3.0.4".

set(auto).
   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).

formula_list(usable).
-(exists x (M(x)&P(x))).
all x (S(x)->M(x)).
exists x (S(x)&P(x)).
end_of_list.

-------> usable clausifies to:

list(usable).
0 [] -M(x)| -P(x).
0 [] -S(x)|M(x).
0 [] S($c1).
0 [] P($c1).
end_of_list.

SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=2.

This is a Horn set without equality.  The strategy will
be hyperresolution, with satellites in sos and nuclei
in usable.

   dependent: set(hyper_res).
   dependent: clear(order_hyper).

------------> process usable:
** KEPT (pick-wt=4): 1 [] -M(x)| -P(x).
** KEPT (pick-wt=4): 2 [] -S(x)|M(x).

------------> process sos:
** KEPT (pick-wt=2): 3 [] S($c1).
** KEPT (pick-wt=2): 4 [] P($c1).

======= end of input processing =======

=========== start of search ===========

given clause #1: (wt=2) 3 [] S($c1).
.
given clause #2: (wt=2) 4 [] P($c1).
.
given clause #3: (wt=2) 5 [hyper,3,2] M($c1).
.
-----> EMPTY CLAUSE at   0.50 sec ----> 6 [hyper,5,1,4] $F.


-------- PROOF -------- 
Length of proof is 1.  Level of proof is 1.

---------------- PROOF ----------------

1 [] -M(x)| -P(x).
2 [] -S(x)|M(x).
3 [] S($c1).
4 [] P($c1).
5 [hyper,3,2] M($c1).
6 [hyper,5,1,4] $F.

------------ end of proof -------------


Search stopped by max_proofs option.


Search stopped by max_proofs option.

============ end of search ============

-------------- statistics -------------
clauses given                  3
clauses generated              2
clauses kept                   5
clauses forward subsumed       0
clauses back subsumed          0
Kbytes malloced               55

----------- times (seconds) -----------
user CPU time          1.28          (0 hr, 0 min, 1 sec)
system CPU time        0.00          (0 hr, 0 min, 0 sec)
wall-clock time        1             (0 hr, 0 min, 1 sec)
hyper_res time         0.00
for_sub time           0.00
back_sub time          0.00
conflict time          0.37
demod time             0.00

The job finished        Tue Jan 27 22:39:16 1998