TSTP Solution File: FLD040-5 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : FLD040-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n026.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 02:27:46 EDT 2022

% Result   : Unsatisfiable 13.77s 13.94s
% Output   : Refutation 13.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : FLD040-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.12  % Command  : sos-script %s
% 0.14/0.33  % Computer : n026.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jun  6 20:45:45 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.35  ----- Otter 3.2, August 2001 -----
% 0.20/0.35  The process was started by sandbox2 on n026.cluster.edu,
% 0.20/0.35  Mon Jun  6 20:45:45 2022
% 0.20/0.35  The command was "./sos".  The process ID is 26220.
% 0.20/0.35  
% 0.20/0.35  set(prolog_style_variables).
% 0.20/0.35  set(auto).
% 0.20/0.35     dependent: set(auto1).
% 0.20/0.35     dependent: set(process_input).
% 0.20/0.35     dependent: clear(print_kept).
% 0.20/0.35     dependent: clear(print_new_demod).
% 0.20/0.35     dependent: clear(print_back_demod).
% 0.20/0.35     dependent: clear(print_back_sub).
% 0.20/0.35     dependent: set(control_memory).
% 0.20/0.35     dependent: assign(max_mem, 12000).
% 0.20/0.35     dependent: assign(pick_given_ratio, 4).
% 0.20/0.35     dependent: assign(stats_level, 1).
% 0.20/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.35     dependent: assign(sos_limit, 5000).
% 0.20/0.35     dependent: assign(max_weight, 60).
% 0.20/0.35  clear(print_given).
% 0.20/0.35  
% 0.20/0.35  list(usable).
% 0.20/0.35  
% 0.20/0.35  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 0.20/0.35  
% 0.20/0.35  This is a non-Horn set without equality.  The strategy
% 0.20/0.35  will be ordered hyper_res, ur_res, unit deletion, and
% 0.20/0.35  factoring, with satellites in sos and nuclei in usable.
% 0.20/0.35  
% 0.20/0.35     dependent: set(hyper_res).
% 0.20/0.35     dependent: set(factor).
% 0.20/0.35     dependent: set(unit_deletion).
% 0.20/0.35  
% 0.20/0.35  ------------> process usable:
% 0.20/0.35  
% 0.20/0.35  ------------> process sos:
% 0.20/0.35  
% 0.20/0.35  ======= 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: 52
% 0.20/0.43  percentage of clauses intially in UL: 92
% 0.20/0.43  percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.43  percent of all initial clauses that are short: 100
% 0.20/0.43  absolute distinct symbol count: 11
% 0.20/0.43     distinct predicate count: 4
% 0.20/0.43     distinct function count: 4
% 0.20/0.43     distinct constant count: 3
% 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 ===========
% 4.87/5.04  
% 4.87/5.04  
% 4.87/5.04  Changing weight limit from 60 to 14.
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 3 [ 2 1 147 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 4 [ 2 1 233 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 5 [ 2 1 173 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 6 [ 3 1 187 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 7 [ 7 2 186 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 8 [ 2 1 133 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 9 [ 2 1 231 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 10 [ 2 1 571 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 11 [ 2 1 110 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 12 [ 11 1 290 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 13 [ 3 1 101 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 14 [ 3 1 460 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 15 [ 15 1 168 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 16 [ 3 1 445 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 17 [ 4 1 102 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 18 [ 3 1 232 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 19 [ 7 2 221 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 20 [ 7 2 3573 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 21 [ 4 1 369 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 22 [ 4 2 416 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 23 [ 16 2 146 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 24 [ 5 2 267 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 25 [ 5 2 101 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 26 [ 23 2 761 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 27 [ 9 2 371 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 28 [ 27 2 113 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 29 [ 5 2 206 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 30 [ 25 9 51558 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Stopped by limit on insertions
% 4.87/5.04  
% 4.87/5.04  Model 31 [ 6 2 4861 ] (0.00 seconds, 250000 Inserts)
% 4.87/5.04  
% 4.87/5.04  Resetting weight limit to 14 after 45 givens.
% 4.87/5.04  
% 6.54/6.71  
% 6.54/6.71  
% 6.54/6.71  Changing weight limit from 14 to 15.
% 6.54/6.71  
% 6.54/6.71  Stopped by limit on insertions
% 6.54/6.71  
% 6.54/6.71  Model 32 [ 8 1 313 ] (0.00 seconds, 250000 Inserts)
% 6.54/6.71  
% 6.54/6.71  Stopped by limit on insertions
% 6.54/6.71  
% 6.54/6.71  Model 33 [ 32 1 112 ] (0.00 seconds, 250000 Inserts)
% 6.54/6.71  
% 6.54/6.71  Stopped by limit on insertions
% 6.54/6.71  
% 6.54/6.71  Model 34 [ 10 1 109 ] (0.00 seconds, 250000 Inserts)
% 6.54/6.71  
% 6.54/6.71  Stopped by limit on insertions
% 6.54/6.71  
% 6.54/6.71  Model 35 [ 32 1 151 ] (0.00 seconds, 250000 Inserts)
% 6.54/6.71  
% 6.54/6.71  Stopped by limit on insertions
% 6.54/6.71  
% 6.54/6.71  Model 36 [ 32 2 107 ] (0.00 seconds, 250000 Inserts)
% 6.54/6.71  
% 6.54/6.71  Stopped by limit on insertions
% 6.54/6.71  
% 6.54/6.71  Model 37 [ 15 5 41289 ] (0.00 seconds, 250000 Inserts)
% 6.54/6.71  
% 6.54/6.71  Stopped by limit on insertions
% 6.54/6.71  
% 6.54/6.71  Model 38 [ 8 1 240 ] (0.00 seconds, 250000 Inserts)
% 6.54/6.71  
% 6.54/6.71  Stopped by limit on insertions
% 6.54/6.71  
% 6.54/6.71  Model 39 [ 31 1 634 ] (0.00 seconds, 250000 Inserts)
% 6.54/6.71  
% 6.54/6.71  Stopped by limit on insertions
% 6.54/6.71  
% 6.54/6.71  Model 40 [ 39 1 103 ] (0.00 seconds, 250000 Inserts)
% 6.54/6.71  
% 6.54/6.71  Resetting weight limit to 15 after 60 givens.
% 6.54/6.71  
% 6.77/6.96  
% 6.77/6.96  
% 6.77/6.96  Changing weight limit from 15 to 14.
% 6.77/6.96  
% 6.77/6.96  Stopped by limit on insertions
% 6.77/6.96  
% 6.77/6.96  Model 41 [ 32 1 157 ] (0.00 seconds, 250000 Inserts)
% 6.77/6.96  
% 6.77/6.96  Stopped by limit on insertions
% 6.77/6.96  
% 6.77/6.96  Model 42 [ 13 2 8862 ] (0.00 seconds, 250000 Inserts)
% 6.77/6.96  
% 6.77/6.96  Resetting weight limit to 14 after 65 givens.
% 6.77/6.96  
% 13.77/13.94  
% 13.77/13.94  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 43 [ 10 4 20699 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 44 [ 14 11 78729 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 45 [ 43 2 143 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 46 [ 10 5 170307 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 47 [ 13 1 144 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 48 [ 13 2 139 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 49 [ 48 2 148 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 50 [ 15 1 739 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 51 [ 36 1 317 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 52 [ 12 21 131940 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 53 [ 44 21 67701 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 54 [ 47 2 186 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 55 [ 22 9 135504 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 56 [ 15 1 700 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 57 [ 48 2 463 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 58 [ 14 1 104 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 59 [ 39 1 150 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 60 [ 18 30 151965 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 61 [ 21 4 14117 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 62 [ 51 2 320 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 63 [ 50 7 113721 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  Stopped by limit on insertions
% 13.77/13.94  
% 13.77/13.94  Model 64 [ 55 8 138635 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  ----> UNIT CONFLICT at  13.53 sec ----> 13166 [binary,13165.1,24.1] {+} $F.
% 13.77/13.94  
% 13.77/13.94  Length of proof is 14.  Level of proof is 5.
% 13.77/13.94  
% 13.77/13.94  ---------------- PROOF ----------------
% 13.77/13.94  % SZS status Unsatisfiable
% 13.77/13.94  % SZS output start Refutation
% 13.77/13.94  
% 13.77/13.94  1 [] {+} sum(A,B,C)| -sum(A,D,E)| -sum(D,F,B)| -sum(E,F,C).
% 13.77/13.94  2 [] {+} sum(A,B,C)| -sum(D,E,A)| -sum(E,B,F)| -sum(D,F,C).
% 13.77/13.94  3 [] {+} sum(additive_identity,A,A)| -defined(A).
% 13.77/13.94  4 [] {+} sum(additive_inverse(A),A,additive_identity)| -defined(A).
% 13.77/13.94  5 [] {+} sum(A,B,C)| -sum(B,A,C).
% 13.77/13.94  8 [] {+} product(multiplicative_identity,A,A)| -defined(A).
% 13.77/13.94  9 [] {+} product(multiplicative_inverse(A),A,multiplicative_identity)|sum(additive_identity,A,additive_identity)| -defined(A).
% 13.77/13.94  11 [] {+} sum(A,B,C)| -sum(D,E,F)| -product(F,G,C)| -product(D,G,A)| -product(E,G,B).
% 13.77/13.94  24 [] {+} -sum(additive_identity,additive_identity,multiplicative_identity).
% 13.77/13.94  25 [] {+} -sum(additive_identity,a,additive_identity).
% 13.77/13.94  27 [factor,1.3.4] {+} sum(A,B,B)| -sum(A,C,C)| -sum(C,D,B).
% 13.77/13.94  35 [factor,11.3.5] {+} sum(A,B,B)| -sum(C,D,D)| -product(D,E,B)| -product(C,E,A).
% 13.77/13.94  49 [] {+} defined(additive_identity).
% 13.77/13.94  50 [] {-} defined(multiplicative_identity).
% 13.77/13.94  51 [] {-} defined(a).
% 13.77/13.94  52 [] {+} sum(additive_identity,multiplicative_inverse(a),additive_identity).
% 13.77/13.94  63 [hyper,49,3] {+} sum(additive_identity,additive_identity,additive_identity).
% 13.77/13.94  83 [hyper,50,3] {+} sum(additive_identity,multiplicative_identity,multiplicative_identity).
% 13.77/13.94  109 [hyper,51,9,unit_del,25] {+} product(multiplicative_inverse(a),a,multiplicative_identity).
% 13.77/13.94  110 [hyper,51,8] {+} product(multiplicative_identity,a,a).
% 13.77/13.94  111 [hyper,51,4] {+} sum(additive_inverse(a),a,additive_identity).
% 13.77/13.94  113 [hyper,52,5] {+} sum(multiplicative_inverse(a),additive_identity,additive_identity).
% 13.77/13.94  1311 [hyper,83,5] {+} sum(multiplicative_identity,additive_identity,multiplicative_identity).
% 13.77/13.94  1810 [hyper,111,5] {+} sum(a,additive_inverse(a),additive_identity).
% 13.77/13.94  2603 [hyper,113,27,83] {+} sum(multiplicative_inverse(a),multiplicative_identity,multiplicative_identity).
% 13.77/13.94  13108 [hyper,2603,35,110,109] {+} sum(multiplicative_identity,a,a).
% 13.77/13.94  13120 [hyper,13108,27,1810] {+} sum(multiplicative_identity,additive_identity,additive_identity).
% 13.77/13.94  13165 [hyper,13120,2,63,1311] {-} sum(additive_identity,additive_identity,multiplicative_identity).
% 13.77/13.94  13166 [binary,13165.1,24.1] {+} $F.
% 13.77/13.94  
% 13.77/13.94  % SZS output end Refutation
% 13.77/13.94  ------------ end of proof -------------
% 13.77/13.94  
% 13.77/13.94  
% 13.77/13.94  Search stopped by max_proofs option.
% 13.77/13.94  
% 13.77/13.94  
% 13.77/13.94  Search stopped by max_proofs option.
% 13.77/13.94  
% 13.77/13.94  ============ end of search ============
% 13.77/13.94  
% 13.77/13.94  ----------- soft-scott stats ----------
% 13.77/13.94  
% 13.77/13.94  true clauses given          20      (17.5%)
% 13.77/13.94  false clauses given         94
% 13.77/13.94  
% 13.77/13.94        FALSE     TRUE
% 13.77/13.94     4  0         1
% 13.77/13.94     5  43        4
% 13.77/13.94     6  392       11
% 13.77/13.94     7  844       10
% 13.77/13.94     8  1487      59
% 13.77/13.94     9  635       5
% 13.77/13.94    10  453       1
% 13.77/13.94    11  1         1
% 13.77/13.94    12  34        47
% 13.77/13.94    13  1         2
% 13.77/13.94    14  34        48
% 13.77/13.94  tot:  3924      189      (4.6% true)
% 13.77/13.94  
% 13.77/13.94  
% 13.77/13.94  Model 64 [ 55 8 138635 ] (0.00 seconds, 250000 Inserts)
% 13.77/13.94  
% 13.77/13.94  That finishes the proof of the theorem.
% 13.77/13.94  
% 13.77/13.94  Process 26220 finished Mon Jun  6 20:45:59 2022
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