TSTP Solution File: GEO611+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO611+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n006.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 06:21:08 EDT 2022

% Result   : Theorem 42.31s 42.57s
% Output   : Refutation 42.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO611+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n006.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 : Fri Jun 17 22:55:10 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.36  ----- Otter 3.2, August 2001 -----
% 0.12/0.36  The process was started by sandbox2 on n006.cluster.edu,
% 0.12/0.36  Fri Jun 17 22:55:10 2022
% 0.12/0.36  The command was "./sos".  The process ID is 10658.
% 0.12/0.36  
% 0.12/0.36  set(prolog_style_variables).
% 0.12/0.36  set(auto).
% 0.12/0.36     dependent: set(auto1).
% 0.12/0.36     dependent: set(process_input).
% 0.12/0.36     dependent: clear(print_kept).
% 0.12/0.36     dependent: clear(print_new_demod).
% 0.12/0.36     dependent: clear(print_back_demod).
% 0.12/0.36     dependent: clear(print_back_sub).
% 0.12/0.36     dependent: set(control_memory).
% 0.12/0.36     dependent: assign(max_mem, 12000).
% 0.12/0.36     dependent: assign(pick_given_ratio, 4).
% 0.12/0.36     dependent: assign(stats_level, 1).
% 0.12/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36     dependent: assign(sos_limit, 5000).
% 0.12/0.36     dependent: assign(max_weight, 60).
% 0.12/0.36  clear(print_given).
% 0.12/0.36  
% 0.12/0.36  formula_list(usable).
% 0.12/0.36  
% 0.12/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.12/0.36  
% 0.12/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.12/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.36  clauses in usable.
% 0.12/0.36  
% 0.12/0.36     dependent: set(knuth_bendix).
% 0.12/0.36     dependent: set(para_from).
% 0.12/0.36     dependent: set(para_into).
% 0.12/0.36     dependent: clear(para_from_right).
% 0.12/0.36     dependent: clear(para_into_right).
% 0.12/0.36     dependent: set(para_from_vars).
% 0.12/0.36     dependent: set(eq_units_both_ways).
% 0.12/0.36     dependent: set(dynamic_demod_all).
% 0.12/0.36     dependent: set(dynamic_demod).
% 0.12/0.36     dependent: set(order_eq).
% 0.12/0.36     dependent: set(back_demod).
% 0.12/0.36     dependent: set(lrpo).
% 0.12/0.36     dependent: set(hyper_res).
% 0.12/0.36     dependent: set(unit_deletion).
% 0.12/0.36     dependent: set(factor).
% 0.12/0.36  
% 0.12/0.36  ------------> process usable:
% 0.12/0.36    Following clause subsumed by 72 during input processing: 0 [] {-} -eqangle(A,B,C,D,C,D,A,B)|perp(A,B,C,D)|para(A,B,C,D).
% 0.12/0.36  
% 0.12/0.36  ------------> process sos:
% 0.12/0.36    Following clause subsumed by 167 during input processing: 0 [copy,167,flip.1] {-} A=A.
% 0.12/0.36  167 back subsumes 146.
% 0.12/0.36  167 back subsumes 145.
% 0.12/0.36  167 back subsumes 144.
% 0.12/0.36  167 back subsumes 143.
% 0.12/0.36  
% 0.12/0.36  ======= end of input processing =======
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  Failed to model usable list: disabling FINDER
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  -------------- Softie stats --------------
% 0.18/0.43  
% 0.18/0.43  UPDATE_STOP: 300
% 0.18/0.43  SFINDER_TIME_LIMIT: 2
% 0.18/0.43  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.43  number of clauses in intial UL: 154
% 0.18/0.43  number of clauses initially in problem: 163
% 0.18/0.43  percentage of clauses intially in UL: 94
% 0.18/0.43  percentage of distinct symbols occuring in initial UL: 85
% 0.18/0.43  percent of all initial clauses that are short: 100
% 0.18/0.43  absolute distinct symbol count: 42
% 0.18/0.43     distinct predicate count: 12
% 0.18/0.43     distinct function count: 20
% 0.18/0.43     distinct constant count: 10
% 0.18/0.43  
% 0.18/0.43  ---------- no more Softie stats ----------
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  =========== start of search ===========
% 6.81/7.06  
% 6.81/7.06  
% 6.81/7.06  Changing weight limit from 60 to 58.
% 6.81/7.06  
% 6.81/7.06  Resetting weight limit to 58 after 250 givens.
% 6.81/7.06  
% 7.89/8.07  
% 7.89/8.07  
% 7.89/8.07  Changing weight limit from 58 to 57.
% 7.89/8.07  
% 7.89/8.07  Resetting weight limit to 57 after 255 givens.
% 7.89/8.07  
% 8.25/8.47  
% 8.25/8.47  
% 8.25/8.47  Changing weight limit from 57 to 56.
% 8.25/8.47  
% 8.25/8.47  Resetting weight limit to 56 after 260 givens.
% 8.25/8.47  
% 10.80/10.99  
% 10.80/10.99  
% 10.80/10.99  Changing weight limit from 56 to 55.
% 10.80/10.99  
% 10.80/10.99  Resetting weight limit to 55 after 275 givens.
% 10.80/10.99  
% 13.53/13.71  
% 13.53/13.71  
% 13.53/13.71  Changing weight limit from 55 to 54.
% 13.53/13.71  
% 13.53/13.71  Modelling stopped after 300 given clauses and 0.00 seconds
% 13.53/13.71  
% 13.53/13.71  
% 13.53/13.71  Resetting weight limit to 54 after 305 givens.
% 13.53/13.71  
% 14.85/15.05  
% 14.85/15.05  
% 14.85/15.05  Changing weight limit from 54 to 52.
% 14.85/15.05  
% 14.85/15.05  Resetting weight limit to 52 after 325 givens.
% 14.85/15.05  
% 15.74/15.98  
% 15.74/15.98  
% 15.74/15.98  Changing weight limit from 52 to 51.
% 15.74/15.98  
% 15.74/15.98  Resetting weight limit to 51 after 335 givens.
% 15.74/15.98  
% 19.73/19.98  
% 19.73/19.98  
% 19.73/19.98  Changing weight limit from 51 to 50.
% 19.73/19.98  
% 19.73/19.98  Resetting weight limit to 50 after 395 givens.
% 19.73/19.98  
% 23.50/23.69  
% 23.50/23.69  
% 23.50/23.69  Changing weight limit from 50 to 49.
% 23.50/23.69  
% 23.50/23.69  Resetting weight limit to 49 after 440 givens.
% 23.50/23.69  
% 25.34/25.59  
% 25.34/25.59  
% 25.34/25.59  Changing weight limit from 49 to 45.
% 25.34/25.59  
% 25.34/25.59  Resetting weight limit to 45 after 445 givens.
% 25.34/25.59  
% 26.20/26.40  
% 26.20/26.40  
% 26.20/26.40  Changing weight limit from 45 to 31.
% 26.20/26.40  
% 26.20/26.40  Resetting weight limit to 31 after 450 givens.
% 26.20/26.40  
% 26.39/26.59  
% 26.39/26.59  
% 26.39/26.59  Changing weight limit from 31 to 30.
% 26.39/26.59  
% 26.39/26.59  Resetting weight limit to 30 after 455 givens.
% 26.39/26.59  
% 29.84/30.07  
% 29.84/30.07  
% 29.84/30.07  Changing weight limit from 30 to 29.
% 29.84/30.07  
% 29.84/30.07  Resetting weight limit to 29 after 600 givens.
% 29.84/30.07  
% 30.73/30.99  
% 30.73/30.99  
% 30.73/30.99  Changing weight limit from 29 to 18.
% 30.73/30.99  
% 30.73/30.99  Resetting weight limit to 18 after 715 givens.
% 30.73/30.99  
% 30.73/31.00  
% 30.73/31.00  
% 30.73/31.00  Changing weight limit from 18 to 14.
% 30.73/31.00  
% 30.73/31.00  Resetting weight limit to 14 after 720 givens.
% 30.73/31.00  
% 30.82/31.03  
% 30.82/31.03  
% 30.82/31.03  Changing weight limit from 14 to 13.
% 30.82/31.03  
% 30.82/31.03  Resetting weight limit to 13 after 750 givens.
% 30.82/31.03  
% 30.91/31.14  
% 30.91/31.14  
% 30.91/31.14  Changing weight limit from 13 to 12.
% 30.91/31.14  
% 30.91/31.14  Resetting weight limit to 12 after 900 givens.
% 30.91/31.14  
% 30.91/31.15  
% 30.91/31.15  
% 30.91/31.15  Changing weight limit from 12 to 10.
% 30.91/31.15  
% 30.91/31.15  Resetting weight limit to 10 after 930 givens.
% 30.91/31.15  
% 32.01/32.27  
% 32.01/32.27  
% 32.01/32.27  Changing weight limit from 10 to 9.
% 32.01/32.27  
% 32.01/32.27  Resetting weight limit to 9 after 1935 givens.
% 32.01/32.27  
% 42.21/42.46  
% 42.21/42.46  
% 42.21/42.46  Changing weight limit from 9 to 8.
% 42.21/42.46  
% 42.21/42.46  Resetting weight limit to 8 after 7860 givens.
% 42.21/42.46  
% 42.31/42.57  
% 42.31/42.57  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 42.31/42.57  
% 42.31/42.57  ----> UNIT CONFLICT at  41.74 sec ----> 143174 [binary,143173.1,113.1] {-} $F.
% 42.31/42.57  
% 42.31/42.57  Length of proof is 81.  Level of proof is 20.
% 42.31/42.57  
% 42.31/42.57  ---------------- PROOF ----------------
% 42.31/42.57  % SZS status Theorem
% 42.31/42.57  % SZS output start Refutation
% 42.31/42.57  
% 42.31/42.57  1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 42.31/42.57  2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 42.31/42.57  3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 42.31/42.57  4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 42.31/42.57  5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 42.31/42.57  7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 42.31/42.57  8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 42.31/42.57  9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 42.31/42.57  10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 42.31/42.57  14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 42.31/42.57  15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 42.31/42.57  16 [] {+} -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 42.31/42.57  17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 42.31/42.57  40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 42.31/42.57  43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 42.31/42.57  44 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -cyclic(A,B,C,F)| -eqangle(C,A,C,B,F,D,F,E)|cong(A,B,D,E).
% 42.31/42.57  46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 42.31/42.57  57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 42.31/42.57  64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 42.31/42.57  65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 42.31/42.57  68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 42.31/42.57  69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 42.31/42.57  113 [] {+} -para($c4,$c5,$c3,$c8).
% 42.31/42.57  114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 42.31/42.57  120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 42.31/42.57  123 [factor,44.2.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,E)|cong(A,B,D,E).
% 42.31/42.57  128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 42.31/42.57  129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 42.31/42.57  161 [] {-} perp($c5,$c6,$c10,$c8).
% 42.31/42.57  162 [] {-} coll($c5,$c10,$c8).
% 42.31/42.57  163 [] {-} perp($c4,$c6,$c10,$c9).
% 42.31/42.57  164 [] {-} coll($c4,$c10,$c9).
% 42.31/42.57  166 [] {-} coll($c3,$c6,$c4).
% 42.31/42.57  185 [hyper,162,114] {-} coll($c8,$c8,$c5).
% 42.31/42.57  187 [hyper,162,1] {-} coll($c5,$c8,$c10).
% 42.31/42.57  202 [hyper,164,1] {-} coll($c4,$c9,$c10).
% 42.31/42.57  215 [hyper,166,114] {-} coll($c4,$c4,$c3).
% 42.31/42.57  216 [hyper,166,2] {-} coll($c6,$c3,$c4).
% 42.31/42.57  247 [hyper,185,114] {-} coll($c5,$c5,$c8).
% 42.31/42.57  275 [hyper,187,114] {-} coll($c10,$c10,$c5).
% 42.31/42.57  303 [hyper,161,8] {-} perp($c10,$c8,$c5,$c6).
% 42.31/42.57  335 [hyper,202,114] {-} coll($c10,$c10,$c4).
% 42.31/42.57  363 [hyper,216,114] {-} coll($c4,$c4,$c6).
% 42.31/42.57  377 [hyper,163,8] {-} perp($c10,$c9,$c4,$c6).
% 42.31/42.57  409 [hyper,247,1] {-} coll($c5,$c8,$c5).
% 42.31/42.57  598 [hyper,335,3,275] {-} coll($c5,$c4,$c10).
% 42.31/42.57  909 [hyper,409,114] {-} coll($c5,$c5,$c5).
% 42.31/42.57  911 [hyper,409,3,187] {-} coll($c5,$c10,$c5).
% 42.31/42.57  1589 [hyper,598,1] {-} coll($c5,$c10,$c4).
% 42.31/42.57  2629 [hyper,1589,114] {-} coll($c4,$c4,$c5).
% 42.31/42.57  2631 [hyper,1589,3,911] {-} coll($c5,$c4,$c5).
% 42.31/42.57  3605 [hyper,2629,3,363] {-} coll($c6,$c5,$c4).
% 42.31/42.57  3606 [hyper,2629,3,215] {-} coll($c3,$c5,$c4).
% 42.31/42.57  3607 [hyper,2629,3,363] {-} coll($c5,$c6,$c4).
% 42.31/42.57  6019 [hyper,3605,1] {-} coll($c6,$c4,$c5).
% 42.31/42.57  6032 [hyper,3606,1] {-} coll($c3,$c4,$c5).
% 42.31/42.57  6045 [hyper,3607,1] {-} coll($c5,$c4,$c6).
% 42.31/42.57  6459 [hyper,6019,114] {-} coll($c5,$c5,$c6).
% 42.31/42.57  6480 [hyper,6032,114] {-} coll($c5,$c5,$c3).
% 42.31/42.57  6507 [hyper,6045,3,2631] {-} coll($c6,$c5,$c5).
% 42.31/42.57  7683 [hyper,303,9,161] {-} para($c5,$c6,$c5,$c6).
% 42.31/42.57  7685 [hyper,303,7] {-} perp($c10,$c8,$c6,$c5).
% 42.31/42.57  7722 [hyper,377,7] {-} perp($c10,$c9,$c6,$c4).
% 42.31/42.57  7862 [hyper,7683,40] {-} eqangle($c5,$c6,A,B,$c5,$c6,A,B).
% 42.31/42.57  7863 [hyper,7683,4] {-} para($c5,$c6,$c6,$c5).
% 42.31/42.57  8002 [hyper,7685,8] {-} perp($c6,$c5,$c10,$c8).
% 42.31/42.57  8405 [hyper,7722,8] {-} perp($c6,$c4,$c10,$c9).
% 42.31/42.57  8669 [hyper,7863,5] {-} para($c6,$c5,$c5,$c6).
% 42.31/42.57  8686 [hyper,8002,9,7685] {-} para($c6,$c5,$c6,$c5).
% 42.31/42.57  9079 [hyper,8405,9,7722] {-} para($c6,$c4,$c6,$c4).
% 42.31/42.57  9544 [hyper,8686,40] {-} eqangle($c6,$c5,A,B,$c6,$c5,A,B).
% 42.31/42.57  18267 [hyper,7862,43,6480] {-} cyclic($c6,$c3,$c5,$c5).
% 42.31/42.57  18268 [hyper,7862,43,6459] {-} cyclic($c6,$c6,$c5,$c5).
% 42.31/42.57  18271 [hyper,7862,43,909] {-} cyclic($c6,$c5,$c5,$c5).
% 42.31/42.57  18273 [hyper,7862,43,247] {-} cyclic($c6,$c8,$c5,$c5).
% 42.31/42.57  18280 [hyper,18267,16] {-} cyclic($c3,$c6,$c5,$c5).
% 42.31/42.57  18281 [hyper,18267,15] {-} cyclic($c6,$c5,$c3,$c5).
% 42.31/42.57  18282 [hyper,18268,15] {-} cyclic($c6,$c5,$c6,$c5).
% 42.31/42.57  18298 [hyper,18273,16] {-} cyclic($c8,$c6,$c5,$c5).
% 42.31/42.57  18299 [hyper,18273,15] {-} cyclic($c6,$c5,$c8,$c5).
% 42.31/42.57  18314 [hyper,18280,15] {-} cyclic($c3,$c5,$c6,$c5).
% 42.31/42.57  18317 [hyper,18281,14] {-} cyclic($c6,$c5,$c5,$c3).
% 42.31/42.57  18320 [hyper,18282,14] {-} cyclic($c6,$c5,$c5,$c6).
% 42.31/42.57  18352 [hyper,18298,15] {-} cyclic($c8,$c5,$c6,$c5).
% 42.31/42.57  18358 [hyper,18299,14] {-} cyclic($c6,$c5,$c5,$c8).
% 42.31/42.57  18375 [hyper,18314,16] {-} cyclic($c5,$c3,$c6,$c5).
% 42.31/42.57  18382 [hyper,18317,120] {-} cyclic($c5,$c5,$c3,$c3).
% 42.31/42.57  18390 [hyper,18320,123,18271,7862] {-} cong($c6,$c5,$c6,$c5).
% 42.31/42.57  18394 [hyper,18320,17,18317] {-} cyclic($c5,$c5,$c3,$c6).
% 42.31/42.57  18469 [hyper,18352,16] {-} cyclic($c5,$c8,$c6,$c5).
% 42.31/42.57  18473 [hyper,18358,120] {-} cyclic($c5,$c5,$c8,$c8).
% 42.31/42.57  18485 [hyper,18358,17,18320] {-} cyclic($c5,$c5,$c8,$c6).
% 42.31/42.57  18545 [hyper,18390,68,6507] {-} midp($c6,$c5,$c5).
% 42.31/42.57  18553 [hyper,18545,129,7683] {-} midp($c6,$c6,$c6).
% 42.31/42.57  18556 [hyper,18545,46,8669,6459] {-} midp($c5,$c5,$c6).
% 42.31/42.57  18559 [hyper,18553,129,9079] {-} midp($c6,$c4,$c4).
% 42.31/42.57  18568 [hyper,18556,128] {-} para($c5,$c5,$c6,$c6).
% 42.31/42.57  18594 [hyper,18559,69] {-} cong($c6,$c4,$c6,$c4).
% 42.31/42.57  18673 [hyper,18394,120] {-} cyclic($c5,$c3,$c6,$c6).
% 42.31/42.57  18678 [hyper,18394,17,18382] {-} cyclic($c5,$c3,$c6,$c3).
% 42.31/42.57  19185 [hyper,18485,120] {-} cyclic($c5,$c8,$c6,$c6).
% 42.31/42.57  19194 [hyper,18485,17,18473] {-} cyclic($c5,$c8,$c6,$c8).
% 42.31/42.57  20356 [hyper,18594,57,18390] {-} perp($c6,$c6,$c4,$c5).
% 42.31/42.57  26417 [hyper,20356,10,18568] {-} perp($c5,$c5,$c4,$c5).
% 42.31/42.57  27356 [hyper,9544,44,18469,19194,19185] {-} cong($c5,$c8,$c5,$c8).
% 42.31/42.57  27359 [hyper,9544,44,18375,18678,18673] {-} cong($c5,$c3,$c5,$c3).
% 42.31/42.57  36084 [hyper,26417,8] {-} perp($c4,$c5,$c5,$c5).
% 42.31/42.57  37014 [hyper,27359,57,27356] {-} perp($c5,$c5,$c3,$c8).
% 42.31/42.57  143173 [hyper,37014,9,36084] {-} para($c4,$c5,$c3,$c8).
% 42.31/42.57  143174 [binary,143173.1,113.1] {-} $F.
% 42.31/42.57  
% 42.31/42.57  % SZS output end Refutation
% 42.31/42.57  ------------ end of proof -------------
% 42.31/42.57  
% 42.31/42.57  
% 42.31/42.57  Search stopped by max_proofs option.
% 42.31/42.57  
% 42.31/42.57  
% 42.31/42.57  Search stopped by max_proofs option.
% 42.31/42.57  
% 42.31/42.57  ============ end of search ============
% 42.31/42.57  
% 42.31/42.57  That finishes the proof of the theorem.
% 42.31/42.57  
% 42.31/42.57  Process 10658 finished Fri Jun 17 22:55:53 2022
%------------------------------------------------------------------------------