TSTP Solution File: FLD058-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : FLD058-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 02:27:55 EDT 2022

% Result   : Unsatisfiable 17.65s 17.82s
% Output   : Refutation 17.65s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : FLD058-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun  6 14:36:37 EDT 2022
% 0.19/0.33  % CPUTime  : 
% 0.19/0.35  ----- Otter 3.2, August 2001 -----
% 0.19/0.35  The process was started by sandbox2 on n020.cluster.edu,
% 0.19/0.35  Mon Jun  6 14:36:37 2022
% 0.19/0.35  The command was "./sos".  The process ID is 29728.
% 0.19/0.35  
% 0.19/0.35  set(prolog_style_variables).
% 0.19/0.35  set(auto).
% 0.19/0.35     dependent: set(auto1).
% 0.19/0.35     dependent: set(process_input).
% 0.19/0.35     dependent: clear(print_kept).
% 0.19/0.35     dependent: clear(print_new_demod).
% 0.19/0.35     dependent: clear(print_back_demod).
% 0.19/0.35     dependent: clear(print_back_sub).
% 0.19/0.35     dependent: set(control_memory).
% 0.19/0.35     dependent: assign(max_mem, 12000).
% 0.19/0.35     dependent: assign(pick_given_ratio, 4).
% 0.19/0.35     dependent: assign(stats_level, 1).
% 0.19/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.35     dependent: assign(sos_limit, 5000).
% 0.19/0.35     dependent: assign(max_weight, 60).
% 0.19/0.35  clear(print_given).
% 0.19/0.35  
% 0.19/0.35  list(usable).
% 0.19/0.35  
% 0.19/0.35  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 0.19/0.35  
% 0.19/0.35  This is a non-Horn set without equality.  The strategy
% 0.19/0.35  will be ordered hyper_res, ur_res, unit deletion, and
% 0.19/0.35  factoring, with satellites in sos and nuclei in usable.
% 0.19/0.35  
% 0.19/0.35     dependent: set(hyper_res).
% 0.19/0.35     dependent: set(factor).
% 0.19/0.35     dependent: set(unit_deletion).
% 0.19/0.35  
% 0.19/0.35  ------------> process usable:
% 0.19/0.35  
% 0.19/0.35  ------------> process sos:
% 0.19/0.35  
% 0.19/0.35  ======= end of input processing =======
% 0.20/0.43  
% 0.20/0.43  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.43  
% 0.20/0.43  Stopped by limit on number of solutions
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  -------------- Softie stats --------------
% 0.20/0.43  
% 0.20/0.43  UPDATE_STOP: 300
% 0.20/0.43  SFINDER_TIME_LIMIT: 2
% 0.20/0.43  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.43  number of clauses in intial UL: 48
% 0.20/0.43  number of clauses initially in problem: 55
% 0.20/0.43  percentage of clauses intially in UL: 87
% 0.20/0.43  percentage of distinct symbols occuring in initial UL: 91
% 0.20/0.43  percent of all initial clauses that are short: 100
% 0.20/0.43  absolute distinct symbol count: 12
% 0.20/0.43     distinct predicate count: 4
% 0.20/0.43     distinct function count: 4
% 0.20/0.43     distinct constant count: 4
% 0.20/0.43  
% 0.20/0.43  ---------- no more Softie stats ----------
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.43  
% 0.20/0.43  Stopped by limit on number of solutions
% 0.20/0.43  
% 0.20/0.43  =========== start of search ===========
% 5.45/5.66  
% 5.45/5.66  
% 5.45/5.66  Changing weight limit from 60 to 14.
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 3 [ 2 2 236 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 4 [ 2 2 263 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 5 [ 3 2 500 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 6 [ 3 2 452 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 7 [ 3 1 156 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 8 [ 3 2 406 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 9 [ 3 2 429 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 10 [ 7 1 388 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 11 [ 4 1 328 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 12 [ 7 2 257 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 13 [ 3 1 137 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 14 [ 5 1 22153 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 15 [ 12 1 223 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 16 [ 3 2 316 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 17 [ 4 1 4004 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 18 [ 4 1 314 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 19 [ 6 2 46356 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 20 [ 5 1 653 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 21 [ 21 1 122 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 22 [ 3 1 175 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 23 [ 23 2 104 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 24 [ 6 1 209 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 25 [ 21 1 183 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 26 [ 4 2 524 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 27 [ 25 1 114 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 28 [ 24 1 226 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 29 [ 9 4 55513 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 30 [ 11 8 85467 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 31 [ 9 9 129621 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 32 [ 10 1 272 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 33 [ 8 5 62549 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 34 [ 27 1 103 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 35 [ 16 5 45209 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 36 [ 10 19 243442 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Stopped by limit on insertions
% 5.45/5.66  
% 5.45/5.66  Model 37 [ 11 3 23623 ] (0.00 seconds, 250000 Inserts)
% 5.45/5.66  
% 5.45/5.66  Resetting weight limit to 14 after 50 givens.
% 5.45/5.66  
% 9.84/10.03  
% 9.84/10.03  
% 9.84/10.03  Changing weight limit from 14 to 12.
% 9.84/10.03  
% 9.84/10.03  Stopped by limit on insertions
% 9.84/10.03  
% 9.84/10.03  Model 38 [ 32 1 145 ] (0.00 seconds, 250000 Inserts)
% 9.84/10.03  
% 9.84/10.03  Stopped by limit on insertions
% 9.84/10.03  
% 9.84/10.03  Stopped by limit on insertions
% 9.84/10.03  
% 9.84/10.03  Model 39 [ 8 1 215 ] (0.00 seconds, 250000 Inserts)
% 9.84/10.03  
% 9.84/10.03  Stopped by limit on insertions
% 9.84/10.03  
% 9.84/10.03  Model 40 [ 35 2 549 ] (0.00 seconds, 250000 Inserts)
% 9.84/10.03  
% 9.84/10.03  Stopped by limit on insertions
% 9.84/10.03  
% 9.84/10.03  Model 41 [ 7 8 47748 ] (0.00 seconds, 250000 Inserts)
% 9.84/10.03  
% 9.84/10.03  Stopped by limit on insertions
% 9.84/10.03  
% 9.84/10.03  Model 42 [ 35 2 189 ] (0.00 seconds, 250000 Inserts)
% 9.84/10.03  
% 9.84/10.03  Stopped by limit on insertions
% 9.84/10.03  
% 9.84/10.03  Model 43 [ 10 4 32227 ] (0.00 seconds, 250000 Inserts)
% 9.84/10.03  
% 9.84/10.03  Stopped by limit on insertions
% 9.84/10.03  
% 9.84/10.03  Model 44 [ 7 9 162265 ] (0.00 seconds, 250000 Inserts)
% 9.84/10.03  
% 9.84/10.03  Stopped by limit on insertions
% 9.84/10.03  
% 9.84/10.03  Model 45 [ 38 1 323 ] (0.00 seconds, 250000 Inserts)
% 9.84/10.03  
% 9.84/10.03  Stopped by limit on insertions
% 9.84/10.03  
% 9.84/10.03  Model 46 [ 9 1 399 ] (0.00 seconds, 250000 Inserts)
% 9.84/10.03  
% 9.84/10.03  Stopped by limit on insertions
% 9.84/10.03  
% 9.84/10.03  Model 47 [ 45 2 337 ] (0.00 seconds, 250000 Inserts)
% 9.84/10.03  
% 9.84/10.03  Stopped by limit on insertions
% 9.84/10.03  
% 9.84/10.03  Model 48 [ 46 1 187 ] (0.00 seconds, 250000 Inserts)
% 9.84/10.03  
% 9.84/10.03  Stopped by limit on insertions
% 9.84/10.03  
% 9.84/10.03  Model 49 [ 10 1 287 ] (0.00 seconds, 250000 Inserts)
% 9.84/10.03  
% 9.84/10.03  Stopped by limit on insertions
% 9.84/10.03  
% 9.84/10.03  Model 50 [ 42 1 143 ] (0.00 seconds, 250000 Inserts)
% 9.84/10.03  
% 9.84/10.03  Stopped by limit on insertions
% 9.84/10.03  
% 9.84/10.03  Model 51 [ 10 7 33318 ] (0.00 seconds, 250000 Inserts)
% 9.84/10.03  
% 9.84/10.03  Resetting weight limit to 12 after 75 givens.
% 9.84/10.03  
% 17.52/17.69  
% 17.52/17.69  
% 17.52/17.69  Changing weight limit from 12 to 13.
% 17.52/17.69  
% 17.52/17.69  Stopped by limit on insertions
% 17.52/17.69  
% 17.52/17.69  Model 52 [ 44 1 107 ] (0.00 seconds, 250000 Inserts)
% 17.52/17.69  
% 17.52/17.69  Stopped by limit on insertions
% 17.52/17.69  
% 17.52/17.69  Model 53 [ 10 2 808 ] (0.00 seconds, 250000 Inserts)
% 17.52/17.69  
% 17.52/17.69  Stopped by limit on insertions
% 17.52/17.69  
% 17.52/17.69  Model 54 [ 19 26 195676 ] (0.00 seconds, 250000 Inserts)
% 17.52/17.69  
% 17.52/17.69  Stopped by limit on insertions
% 17.52/17.69  
% 17.52/17.69  Model 55 [ 17 2 802 ] (0.00 seconds, 250000 Inserts)
% 17.52/17.69  
% 17.52/17.69  Stopped by limit on insertions
% 17.52/17.69  
% 17.52/17.69  Model 56 [ 15 1 134 ] (0.00 seconds, 250000 Inserts)
% 17.52/17.69  
% 17.52/17.69  Stopped by limit on insertions
% 17.52/17.69  
% 17.52/17.69  Model 57 [ 12 2 148 ] (0.00 seconds, 250000 Inserts)
% 17.52/17.69  
% 17.52/17.69  Stopped by limit on insertions
% 17.52/17.69  
% 17.52/17.69  Model 58 [ 21 36 207357 ] (0.00 seconds, 250000 Inserts)
% 17.52/17.69  
% 17.52/17.69  Stopped by limit on insertions
% 17.52/17.69  
% 17.52/17.69  Stopped by limit on insertions
% 17.52/17.69  
% 17.52/17.69  Model 59 [ 61 2 103 ] (0.00 seconds, 250000 Inserts)
% 17.52/17.69  
% 17.52/17.69  Stopped by limit on insertions
% 17.52/17.69  
% 17.52/17.69  Model 60 [ 53 1 199 ] (0.00 seconds, 250000 Inserts)
% 17.52/17.69  
% 17.52/17.69  Stopped by limit on insertions
% 17.52/17.69  
% 17.52/17.69  Model 61 [ 16 25 113132 ] (0.00 seconds, 250000 Inserts)
% 17.52/17.69  
% 17.52/17.69  Stopped by limit on insertions
% 17.52/17.69  
% 17.52/17.69  Model 62 [ 16 5 26868 ] (0.00 seconds, 250000 Inserts)
% 17.52/17.69  
% 17.52/17.69  Stopped by limit on insertions
% 17.52/17.69  
% 17.52/17.69  Model 63 [ 12 1 449 ] (0.00 seconds, 250000 Inserts)
% 17.52/17.69  
% 17.52/17.69  Stopped by limit on insertions
% 17.52/17.69  
% 17.52/17.69  Model 64 [ 14 6 35715 ] (0.00 seconds, 250000 Inserts)
% 17.52/17.69  
% 17.52/17.69  Stopped by limit on insertions
% 17.52/17.69  
% 17.52/17.69  Model 65 [ 63 1 110 ] (0.00 seconds, 250000 Inserts)
% 17.52/17.69  
% 17.52/17.69  Stopped by limit on insertions
% 17.52/17.69  
% 17.52/17.69  Model 66 [ 19 3 8345 ] (0.00 seconds, 250000 Inserts)
% 17.52/17.69  
% 17.52/17.69  Stopped by limit on insertions
% 17.52/17.69  
% 17.52/17.69  Model 67 [ 63 2 109 ] (0.00 seconds, 250000 Inserts)
% 17.52/17.69  
% 17.52/17.69  Stopped by limit on insertions
% 17.52/17.69  
% 17.52/17.69  Model 68 [ 22 1 121 ] (0.00 seconds, 250000 Inserts)
% 17.52/17.69  
% 17.52/17.69  Stopped by limit on insertions
% 17.52/17.69  
% 17.52/17.69  Model 69 [ 25 44 237077 ] (0.00 seconds, 250000 Inserts)
% 17.52/17.69  
% 17.52/17.69  Resetting weight limit to 13 after 100 givens.
% 17.52/17.69  
% 17.65/17.82  
% 17.65/17.82  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 17.65/17.82  
% 17.65/17.82  Stopped by limit on insertions
% 17.65/17.82  
% 17.65/17.82  Model 70 [ 15 1 134 ] (0.00 seconds, 250000 Inserts)
% 17.65/17.82  
% 17.65/17.82  ----> UNIT CONFLICT at  17.42 sec ----> 10446 [binary,10445.1,25.1] {-} $F.
% 17.65/17.82  
% 17.65/17.82  Length of proof is 6.  Level of proof is 5.
% 17.65/17.82  
% 17.65/17.82  ---------------- PROOF ----------------
% 17.65/17.82  % SZS status Unsatisfiable
% 17.65/17.82  % SZS output start Refutation
% 17.65/17.82  
% 17.65/17.82  3 [] {+} sum(additive_identity,A,A)| -defined(A).
% 17.65/17.82  19 [] {+} sum(additive_identity,A,B)| -less_or_equal(A,B)| -less_or_equal(B,A).
% 17.65/17.82  20 [] {+} less_or_equal(A,B)| -less_or_equal(A,C)| -less_or_equal(C,B).
% 17.65/17.82  21 [] {+} less_or_equal(A,B)|less_or_equal(B,A)| -defined(A)| -defined(B).
% 17.65/17.82  22 [] {+} less_or_equal(A,B)| -less_or_equal(C,D)| -sum(C,E,A)| -sum(D,E,B).
% 17.65/17.82  25 [] {+} -sum(additive_identity,a,additive_identity).
% 17.65/17.82  44 [factor,21.1.2,factor_simp] {+} less_or_equal(A,A)| -defined(A).
% 17.65/17.82  49 [] {+} defined(additive_identity).
% 17.65/17.82  52 [] {+} defined(b).
% 17.65/17.82  53 [] {+} less_or_equal(additive_identity,a).
% 17.65/17.82  54 [] {+} less_or_equal(a,b).
% 17.65/17.82  55 [] {+} sum(additive_identity,b,additive_identity).
% 17.65/17.82  56 [hyper,49,44] {+} less_or_equal(additive_identity,additive_identity).
% 17.65/17.82  149 [hyper,52,3] {+} sum(additive_identity,b,b).
% 17.65/17.82  10417 [hyper,149,22,56,55] {+} less_or_equal(b,additive_identity).
% 17.65/17.82  10426 [hyper,10417,20,54] {+} less_or_equal(a,additive_identity).
% 17.65/17.82  10445 [hyper,10426,19,53] {-} sum(additive_identity,a,additive_identity).
% 17.65/17.82  10446 [binary,10445.1,25.1] {-} $F.
% 17.65/17.82  
% 17.65/17.82  % SZS output end Refutation
% 17.65/17.82  ------------ end of proof -------------
% 17.65/17.82  
% 17.65/17.82  
% 17.65/17.82  Search stopped by max_proofs option.
% 17.65/17.82  
% 17.65/17.82  
% 17.65/17.82  Search stopped by max_proofs option.
% 17.65/17.82  
% 17.65/17.82  ============ end of search ============
% 17.65/17.82  
% 17.65/17.82  ----------- soft-scott stats ----------
% 17.65/17.82  
% 17.65/17.82  true clauses given          22      (21.6%)
% 17.65/17.82  false clauses given         80
% 17.65/17.82  
% 17.65/17.82        FALSE     TRUE
% 17.65/17.82     4  2         9
% 17.65/17.82     5  10        114
% 17.65/17.82     6  102       590
% 17.65/17.82     7  64        840
% 17.65/17.82     8  106       753
% 17.65/17.82     9  2         0
% 17.65/17.82    10  3         5
% 17.65/17.82    12  3         6
% 17.65/17.82  tot:  292       2317      (88.8% true)
% 17.65/17.82  
% 17.65/17.82  
% 17.65/17.82  Model 70 [ 15 1 134 ] (0.00 seconds, 250000 Inserts)
% 17.65/17.82  
% 17.65/17.82  That finishes the proof of the theorem.
% 17.65/17.82  
% 17.65/17.82  Process 29728 finished Mon Jun  6 14:36:54 2022
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