----- Otter 3.3, August 2003 ----- The process was started by mccune on gyro.thornwood, Wed Aug 6 14:25:56 2003 The command was "../../bin/otter". The process ID is 5854. set(para_into). clear(para_from_left). set(para_ones_rule). set(bird_print). clear(back_sub). clear(print_proofs). assign(max_proofs,-1). assign(max_given,30). list(usable). 1 [] x=x. 2 [] B x y z=x (y z). 3 [] W x y=x y y. 4 [] -FIXED(y g(y),g(y))|$Ans(y). end_of_list. list(sos). 5 [] FIXED(W (B (B xf)) (W (B (B xf))) x,xf). end_of_list. ======= end of input processing ======= =========== start of search =========== given clause #1: (wt=19) 5 [] FIXED(W (B (B xf)) (W (B (B xf))) x,xf). ** KEPT (pick-wt=21): 6 [para_into,5.1.1.1.1,2.1.2] FIXED(B W B (B x) (W (B (B x))) y,x). ** KEPT (pick-wt=21): 7 [para_into,5.1.1.1,2.1.2] FIXED(B (W (B (B x))) W (B (B x)) y,x). ** KEPT (pick-wt=19): 8 [para_into,5.1.1,3.1.2] FIXED(W (W (B (B x))) (W (B (B x))),x). ** KEPT (pick-wt=23): 9 [para_into,5.1.1,2.1.2] FIXED(B (W (B (B x)) (W (B (B x)))) y z,x). given clause #2: (wt=19) 8 [para_into,5.1.1,3.1.2] FIXED(W (W (B (B x))) (W (B (B x))),x). ** KEPT (pick-wt=21): 10 [para_into,8.1.1.1,2.1.2] FIXED(B W W (B (B x)) (W (B (B x))),x). ** KEPT (pick-wt=13): 11 [para_into,8.1.1,3.1.2] FIXED(W W (W (B (B x))),x). ** KEPT (pick-wt=21): 12 [para_into,8.1.1,2.1.2] FIXED(B (W (W (B (B x)))) W (B (B x)),x). given clause #3: (wt=13) 11 [para_into,8.1.1,3.1.2] FIXED(W W (W (B (B x))),x). ** KEPT (pick-wt=15): 13 [para_into,11.1.1,2.1.2] FIXED(B (W W) W (B (B x)),x). given clause #4: (wt=15) 13 [para_into,11.1.1,2.1.2] FIXED(B (W W) W (B (B x)),x). ** KEPT (pick-wt=17): 14 [para_into,13.1.1.1.1,2.1.2] FIXED(B B W W W (B (B x)),x). ** KEPT (pick-wt=17): 15 [para_into,13.1.1,2.1.2] FIXED(B (B (W W) W) B (B x),x). given clause #5: (wt=17) 14 [para_into,13.1.1.1.1,2.1.2] FIXED(B B W W W (B (B x)),x). ** KEPT (pick-wt=17): 16 [para_into,14.1.1.1.1,3.1.2] FIXED(W (B B) W W (B (B x)),x). ** KEPT (pick-wt=17): 17 [para_into,14.1.1.1,3.1.2] FIXED(W (B B W) W (B (B x)),x). ** KEPT (pick-wt=19): 18 [para_into,14.1.1,2.1.2] FIXED(B (B B W W W) B (B x),x). given clause #6: (wt=17) 15 [para_into,13.1.1,2.1.2] FIXED(B (B (W W) W) B (B x),x). ** KEPT (pick-wt=19): 19 [para_into,15.1.1.1.1,2.1.2] FIXED(B B (B (W W)) W B (B x),x). ** KEPT (pick-wt=19): 20 [para_into,15.1.1,2.1.2] FIXED(B (B (B (W W) W) B) B x,x). ----> UNIT CONFLICT at 0.00 sec ----> 21 [binary,20.1,4.1] $Ans(B (B (B (W W) W) B) B). given clause #7: (wt=17) 16 [para_into,14.1.1.1.1,3.1.2] FIXED(W (B B) W W (B (B x)),x). ** KEPT (pick-wt=19): 22 [para_into,16.1.1.1.1.1,2.1.2] FIXED(B W B B W W (B (B x)),x). ** KEPT (pick-wt=17): 23 [para_into,16.1.1.1,3.1.2] FIXED(W (W (B B)) W (B (B x)),x). ** KEPT (pick-wt=19): 24 [para_into,16.1.1,2.1.2] FIXED(B (W (B B) W W) B (B x),x). given clause #8: (wt=17) 17 [para_into,14.1.1.1,3.1.2] FIXED(W (B B W) W (B (B x)),x). ** KEPT (pick-wt=19): 25 [para_into,17.1.1.1.1,2.1.2] FIXED(B W (B B) W W (B (B x)),x). ** KEPT (pick-wt=19): 26 [para_into,17.1.1,2.1.2] FIXED(B (W (B B W) W) B (B x),x). given clause #9: (wt=17) 23 [para_into,16.1.1.1,3.1.2] FIXED(W (W (B B)) W (B (B x)),x). ** KEPT (pick-wt=19): 27 [para_into,23.1.1.1.1,2.1.2] FIXED(B W W (B B) W (B (B x)),x). ** KEPT (pick-wt=19): 28 [para_into,23.1.1,2.1.2] FIXED(B (W (W (B B)) W) B (B x),x). given clause #10: (wt=19) 18 [para_into,14.1.1,2.1.2] FIXED(B (B B W W W) B (B x),x). ** KEPT (pick-wt=21): 29 [para_into,18.1.1.1.1,2.1.2] FIXED(B B (B B W W) W B (B x),x). ** KEPT (pick-wt=21): 30 [para_into,18.1.1,2.1.2] FIXED(B (B (B B W W W) B) B x,x). ----> UNIT CONFLICT at 0.00 sec ----> 31 [binary,30.1,4.1] $Ans(B (B (B B W W W) B) B). given clause #11: (wt=19) 19 [para_into,15.1.1.1.1,2.1.2] FIXED(B B (B (W W)) W B (B x),x). ** KEPT (pick-wt=21): 32 [para_into,19.1.1.1.1.1,2.1.2] FIXED(B (B B) B (W W) W B (B x),x). ** KEPT (pick-wt=21): 33 [para_into,19.1.1,2.1.2] FIXED(B (B B (B (W W)) W B) B x,x). ----> UNIT CONFLICT at 0.00 sec ----> 34 [binary,33.1,4.1] $Ans(B (B B (B (W W)) W B) B). given clause #12: (wt=19) 20 [para_into,15.1.1,2.1.2] FIXED(B (B (B (W W) W) B) B x,x). ** KEPT (pick-wt=21): 35 [para_into,20.1.1.1.1,2.1.2] FIXED(B B (B (B (W W) W)) B B x,x). ----> UNIT CONFLICT at 0.00 sec ----> 36 [binary,35.1,4.1] $Ans(B B (B (B (W W) W)) B B). ** KEPT (pick-wt=19): 37 [para_into,20.1.1,3.1.2] FIXED(W (B (B (B (W W) W) B)) B,B). ** KEPT (pick-wt=25): 38 [para_into,20.1.1,2.1.2] FIXED(B (B (B (B (W W) W) B) B) x y,x y). given clause #13: (wt=19) 22 [para_into,16.1.1.1.1.1,2.1.2] FIXED(B W B B W W (B (B x)),x). ** KEPT (pick-wt=19): 39 [para_into,22.1.1.1.1.1,3.1.2] FIXED(W (B W) B W W (B (B x)),x). ** KEPT (pick-wt=19): 40 [para_into,22.1.1.1,3.1.2] FIXED(W (B W B B) W (B (B x)),x). ** KEPT (pick-wt=21): 41 [para_into,22.1.1,2.1.2] FIXED(B (B W B B W W) B (B x),x). given clause #14: (wt=19) 24 [para_into,16.1.1,2.1.2] FIXED(B (W (B B) W W) B (B x),x). ** KEPT (pick-wt=21): 42 [para_into,24.1.1.1.1,2.1.2] FIXED(B B (W (B B) W) W B (B x),x). ** KEPT (pick-wt=21): 43 [para_into,24.1.1,2.1.2] FIXED(B (B (W (B B) W W) B) B x,x). ----> UNIT CONFLICT at 0.00 sec ----> 44 [binary,43.1,4.1] $Ans(B (B (W (B B) W W) B) B). given clause #15: (wt=19) 25 [para_into,17.1.1.1.1,2.1.2] FIXED(B W (B B) W W (B (B x)),x). ** KEPT (pick-wt=21): 45 [para_into,25.1.1.1.1.1,2.1.2] FIXED(B (B W) B B W W (B (B x)),x). ** KEPT (pick-wt=19): 46 [para_into,25.1.1.1,3.1.2] FIXED(W (B W (B B)) W (B (B x)),x). ** KEPT (pick-wt=21): 47 [para_into,25.1.1,2.1.2] FIXED(B (B W (B B) W W) B (B x),x). given clause #16: (wt=19) 26 [para_into,17.1.1,2.1.2] FIXED(B (W (B B W) W) B (B x),x). ** KEPT (pick-wt=21): 48 [para_into,26.1.1.1.1,2.1.2] FIXED(B B (W (B B W)) W B (B x),x). ** KEPT (pick-wt=21): 49 [para_into,26.1.1,2.1.2] FIXED(B (B (W (B B W) W) B) B x,x). ----> UNIT CONFLICT at 0.00 sec ----> 50 [binary,49.1,4.1] $Ans(B (B (W (B B W) W) B) B). given clause #17: (wt=19) 27 [para_into,23.1.1.1.1,2.1.2] FIXED(B W W (B B) W (B (B x)),x). ** KEPT (pick-wt=19): 51 [para_into,27.1.1.1.1.1,3.1.2] FIXED(W B W (B B) W (B (B x)),x). ** KEPT (pick-wt=21): 52 [para_into,27.1.1.1.1,2.1.2] FIXED(B (B W W) B B W (B (B x)),x). ** KEPT (pick-wt=21): 53 [para_into,27.1.1,2.1.2] FIXED(B (B W W (B B) W) B (B x),x). given clause #18: (wt=19) 28 [para_into,23.1.1,2.1.2] FIXED(B (W (W (B B)) W) B (B x),x). ** KEPT (pick-wt=21): 54 [para_into,28.1.1.1.1,2.1.2] FIXED(B B (W (W (B B))) W B (B x),x). ** KEPT (pick-wt=21): 55 [para_into,28.1.1,2.1.2] FIXED(B (B (W (W (B B)) W) B) B x,x). ----> UNIT CONFLICT at 0.00 sec ----> 56 [binary,55.1,4.1] $Ans(B (B (W (W (B B)) W) B) B). given clause #19: (wt=19) 37 [para_into,20.1.1,3.1.2] FIXED(W (B (B (B (W W) W) B)) B,B). ** KEPT (pick-wt=21): 57 [para_into,37.1.1.1,2.1.2] FIXED(B W B (B (B (W W) W) B) B,B). given clause #20: (wt=19) 39 [para_into,22.1.1.1.1.1,3.1.2] FIXED(W (B W) B W W (B (B x)),x). ** KEPT (pick-wt=21): 58 [para_into,39.1.1.1.1.1.1,2.1.2] FIXED(B W B W B W W (B (B x)),x). ** KEPT (pick-wt=19): 59 [para_into,39.1.1.1,3.1.2] FIXED(W (W (B W) B) W (B (B x)),x). ** KEPT (pick-wt=21): 60 [para_into,39.1.1,2.1.2] FIXED(B (W (B W) B W W) B (B x),x). given clause #21: (wt=19) 40 [para_into,22.1.1.1,3.1.2] FIXED(W (B W B B) W (B (B x)),x). ** KEPT (pick-wt=21): 61 [para_into,40.1.1.1.1,2.1.2] FIXED(B W (B W B) B W (B (B x)),x). ** KEPT (pick-wt=21): 62 [para_into,40.1.1,2.1.2] FIXED(B (W (B W B B) W) B (B x),x). given clause #22: (wt=19) 46 [para_into,25.1.1.1,3.1.2] FIXED(W (B W (B B)) W (B (B x)),x). ** KEPT (pick-wt=21): 63 [para_into,46.1.1.1.1,2.1.2] FIXED(B W (B W) (B B) W (B (B x)),x). ** KEPT (pick-wt=21): 64 [para_into,46.1.1,2.1.2] FIXED(B (W (B W (B B)) W) B (B x),x). given clause #23: (wt=19) 51 [para_into,27.1.1.1.1.1,3.1.2] FIXED(W B W (B B) W (B (B x)),x). ** KEPT (pick-wt=21): 65 [para_into,51.1.1.1.1,2.1.2] FIXED(B (W B W) B B W (B (B x)),x). ** KEPT (pick-wt=21): 66 [para_into,51.1.1,2.1.2] FIXED(B (W B W (B B) W) B (B x),x). given clause #24: (wt=19) 59 [para_into,39.1.1.1,3.1.2] FIXED(W (W (B W) B) W (B (B x)),x). ** KEPT (pick-wt=21): 67 [para_into,59.1.1.1.1,2.1.2] FIXED(B W (W (B W)) B W (B (B x)),x). ** KEPT (pick-wt=21): 68 [para_into,59.1.1,2.1.2] FIXED(B (W (W (B W) B) W) B (B x),x). given clause #25: (wt=21) 6 [para_into,5.1.1.1.1,2.1.2] FIXED(B W B (B x) (W (B (B x))) y,x). ** KEPT (pick-wt=23): 69 [para_into,6.1.1.1.1,2.1.2] FIXED(B (B W B) B x (W (B (B x))) y,x). ** KEPT (pick-wt=23): 70 [para_into,6.1.1.1,2.1.2] FIXED(B (B W B (B x)) W (B (B x)) y,x). ** KEPT (pick-wt=21): 71 [para_into,6.1.1,3.1.2] FIXED(W (B W B (B x)) (W (B (B x))),x). ** KEPT (pick-wt=25): 72 [para_into,6.1.1,2.1.2] FIXED(B (B W B (B x) (W (B (B x)))) y z,x). given clause #26: (wt=21) 7 [para_into,5.1.1.1,2.1.2] FIXED(B (W (B (B x))) W (B (B x)) y,x). ** KEPT (pick-wt=23): 73 [para_into,7.1.1.1.1.1,2.1.2] FIXED(B B W (B (B x)) W (B (B x)) y,x). ** KEPT (pick-wt=23): 74 [para_into,7.1.1.1,2.1.2] FIXED(B (B (W (B (B x))) W) B (B x) y,x). ** KEPT (pick-wt=21): 75 [para_into,7.1.1,3.1.2] FIXED(W (B (W (B (B x))) W) (B (B x)),x). ** KEPT (pick-wt=25): 76 [para_into,7.1.1,2.1.2] FIXED(B (B (W (B (B x))) W (B (B x))) y z,x). given clause #27: (wt=21) 10 [para_into,8.1.1.1,2.1.2] FIXED(B W W (B (B x)) (W (B (B x))),x). ** KEPT (pick-wt=21): 77 [para_into,10.1.1.1.1,3.1.2] FIXED(W B W (B (B x)) (W (B (B x))),x). ** KEPT (pick-wt=23): 78 [para_into,10.1.1.1,2.1.2] FIXED(B (B W W) B (B x) (W (B (B x))),x). ** KEPT (pick-wt=23): 79 [para_into,10.1.1,2.1.2] FIXED(B (B W W (B (B x))) W (B (B x)),x). given clause #28: (wt=21) 12 [para_into,8.1.1,2.1.2] FIXED(B (W (W (B (B x)))) W (B (B x)),x). ** KEPT (pick-wt=23): 80 [para_into,12.1.1.1.1,2.1.2] FIXED(B B W (W (B (B x))) W (B (B x)),x). ** KEPT (pick-wt=23): 81 [para_into,12.1.1,2.1.2] FIXED(B (B (W (W (B (B x)))) W) B (B x),x). given clause #29: (wt=21) 29 [para_into,18.1.1.1.1,2.1.2] FIXED(B B (B B W W) W B (B x),x). ** KEPT (pick-wt=23): 82 [para_into,29.1.1.1.1.1,2.1.2] FIXED(B (B B) (B B W) W W B (B x),x). ** KEPT (pick-wt=23): 83 [para_into,29.1.1,2.1.2] FIXED(B (B B (B B W W) W B) B x,x). ----> UNIT CONFLICT at 0.00 sec ----> 84 [binary,83.1,4.1] $Ans(B (B B (B B W W) W B) B). given clause #30: (wt=21) 30 [para_into,18.1.1,2.1.2] FIXED(B (B (B B W W W) B) B x,x). Search stopped by max_given option. ** KEPT (pick-wt=23): 85 [para_into,30.1.1.1.1,2.1.2] FIXED(B B (B (B B W W W)) B B x,x). ----> UNIT CONFLICT at 0.00 sec ----> 86 [binary,85.1,4.1] $Ans(B B (B (B B W W W)) B B). ** KEPT (pick-wt=21): 87 [para_into,30.1.1,3.1.2] FIXED(W (B (B (B B W W W) B)) B,B). ** KEPT (pick-wt=27): 88 [para_into,30.1.1,2.1.2] FIXED(B (B (B (B B W W W) B) B) x y,x y). Search stopped by max_given option. ============ end of search ============ -------------- statistics ------------- clauses given 30 clauses generated 74 para_into generated 74 demod & eval rewrites 0 clauses wt,lit,sk delete 0 tautologies deleted 0 clauses forward subsumed 0 (subsumed by sos) 0 unit deletions 0 factor simplifications 0 clauses kept 74 new demodulators 0 empty clauses 9 clauses back demodulated 0 clauses back subsumed 0 usable size 34 sos size 45 demodulators size 0 passive size 0 hot size 0 Kbytes malloced 255 ----------- times (seconds) ----------- user CPU time 0.00 (0 hr, 0 min, 0 sec) system CPU time 0.01 (0 hr, 0 min, 0 sec) wall-clock time 0 (0 hr, 0 min, 0 sec) input time 0.00 clausify time 0.00 pick given time 0.00 para_into time 0.00 pre_process time 0.00 renumber time 0.00 demod time 0.00 order equalities 0.00 unit deleletion 0.00 factor simplify 0.00 weigh cl time 0.00 hints keep time 0.00 sort lits time 0.00 forward subsume 0.00 delete cl time 0.00 keep cl time 0.00 hints time 0.00 print_cl time 0.00 conflict time 0.00 new demod time 0.00 post_process time 0.00 back demod time 0.00 back subsume 0.00 factor time 0.00 unindex time 0.00 That finishes the proof of the theorem. Process 5854 finished Wed Aug 6 14:25:56 2003