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Theorem 7: Many-valued Sentential Calculus, CD-60

----- OTTER 2.2, July 1991 -----
The job began on altair.mcs.anl.gov, Wed Jun  3 13:31:24 1992
The command was "otter22".

set(hyper_res).
set(back_demod).
set(dynamic_demod_all).
clear(print_kept).
assign(pick_given_ratio,5).
assign(max_mem,20000).
set(control_memory).

list(usable).
1 [] -P(x) | -P(i(x,y)) | P(y).
end_of_list.

list(sos).
2 [] P(i(x,i(y,x))).
3 [] P(i(i(x,y),i(i(y,z),i(x,z)))).
4 [] P(i(i(i(x,y),y),i(i(y,x),x))).
5 [] P(i(i(n(x),n(y)),i(y,x))).
6 [] -P(i(i(a,b),i(n(b),n(a)))).
end_of_list.
OTTER sets dynamic_demod, because back_demod is set.
OTTER sets order_eq, because dynamic_demod is set.

Resetting weight limit to 13.
----> UNIT CONFLICT at 2184.96 sec ----> 16257 [binary,16256,6] .
Level of proof is 13, length is 24.

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

1 [] -P(x) | -P(i(x,y)) | P(y).
2 [] P(i(x,i(y,x))).
3 [] P(i(i(x,y),i(i(y,z),i(x,z)))).
4 [] P(i(i(i(x,y),y),i(i(y,x),x))).
5 [] P(i(i(n(x),n(y)),i(y,x))).
6 [] -P(i(i(a,b),i(n(b),n(a)))).
7 [hyper,2,1,2] P(i(x,i(y,i(z,y)))).
13 [hyper,3,1,5] P(i(i(i(x,y),z),i(i(n(y),n(x)),z))).
14 [hyper,3,1,3] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))).
15 [hyper,3,1,2] P(i(i(i(x,y),z),i(y,z))).
18 [hyper,4,1,7] P(i(i(i(x,i(y,x)),z),z)).
21 [hyper,15,1,5] P(i(n(x),i(x,y))).
22 [hyper,15,1,4] P(i(x,i(i(x,y),y))).
27 [hyper,21,1,3] P(i(i(i(x,y),z),i(n(x),z))).
33 [hyper,22,1,5] P(i(i(i(i(n(x),n(y)),i(y,x)),z),z)).
37 [hyper,22,1,3] P(i(i(i(i(x,y),y),z),i(x,z))).
59 [hyper,18,1,15] P(i(x,x)).
63 [hyper,59,1,22] P(i(i(i(x,x),y),y)).
238 [hyper,13,1,63] P(i(i(n(x),n(i(y,y))),x)).
284 [hyper,238,1,27] P(i(n(n(x)),x)).
320 [hyper,284,1,5] P(i(x,n(n(x)))).
321 [hyper,284,1,3] P(i(i(x,y),i(n(n(x)),y))).
378 [hyper,320,1,22] P(i(i(i(x,n(n(x))),y),y)).
1651 [hyper,378,1,14] P(i(i(x,y),i(x,n(n(y))))).
1762 [hyper,33,1,14] P(i(i(x,i(n(y),n(z))),i(x,i(z,y)))).
2121 [hyper,37,1,14] P(i(i(x,i(y,z)),i(y,i(x,z)))).
3351 [hyper,1651,1,37] P(i(x,i(i(x,y),n(n(y))))).
5608 [hyper,3351,1,321] P(i(n(n(x)),i(i(x,y),n(n(y))))).
15901 [hyper,5608,1,2121] P(i(i(x,y),i(n(n(x)),n(n(y))))).
16256 [hyper,1762,1,15901] P(i(i(x,y),i(n(y),n(x)))).
16257 [binary,16256,6] .

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

-------------- statistics -------------
clauses input                  6
clauses given               2768
clauses generated        3214280
demod & eval rewrites          0
clauses wt,lit,sk delete 1712800
tautologies deleted            0
clauses forward subsumed 1485230
  (subsumed by sos)        16917
clauses kept               16250
new demodulators               0
empty clauses                  1
clauses back demodulated       0
clauses back subsumed         24
sos size                   13466
Kbytes malloced             7216

----------- times (seconds) -----------
run time          2185.01                   (run time  0 hr, 36 min, 25 sec)
system time        689.15
input time           0.00
  clausify time      0.00
hyper_res time     845.48
pre_process time  1215.06
  demod time         0.00
  weigh cl time    271.12
  for_sub time     272.29
  renumber time    270.75
  keep cl time      18.23
  print_cl time      0.00
  conflict time      3.61
post_process time   26.66
  back demod time    0.00
  back_sub time     25.92
lex_rpo time         0.00
The job finished        Wed Jun  3 14:26:09 1992



Karen D. Toonen
1998-11-18