TSTP Solution File: COM020+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : COM020+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Fri Jul 15 01:43:32 EDT 2022
% Result : Theorem 22.66s 22.92s
% Output : Refutation 22.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : COM020+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : sos-script %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 19:51:49 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.38 ----- Otter 3.2, August 2001 -----
% 0.20/0.38 The process was started by sandbox on n020.cluster.edu,
% 0.20/0.38 Thu Jun 16 19:51:49 2022
% 0.20/0.38 The command was "./sos". The process ID is 4290.
% 0.20/0.38
% 0.20/0.38 set(prolog_style_variables).
% 0.20/0.38 set(auto).
% 0.20/0.38 dependent: set(auto1).
% 0.20/0.38 dependent: set(process_input).
% 0.20/0.38 dependent: clear(print_kept).
% 0.20/0.38 dependent: clear(print_new_demod).
% 0.20/0.38 dependent: clear(print_back_demod).
% 0.20/0.38 dependent: clear(print_back_sub).
% 0.20/0.38 dependent: set(control_memory).
% 0.20/0.38 dependent: assign(max_mem, 12000).
% 0.20/0.38 dependent: assign(pick_given_ratio, 4).
% 0.20/0.38 dependent: assign(stats_level, 1).
% 0.20/0.38 dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.38 dependent: assign(sos_limit, 5000).
% 0.20/0.38 dependent: assign(max_weight, 60).
% 0.20/0.38 clear(print_given).
% 0.20/0.38
% 0.20/0.38 formula_list(usable).
% 0.20/0.38
% 0.20/0.38 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.20/0.38
% 0.20/0.38 This ia a non-Horn set with equality. The strategy will be
% 0.20/0.38 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.20/0.38 unit deletion, with positive clauses in sos and nonpositive
% 0.20/0.38 clauses in usable.
% 0.20/0.38
% 0.20/0.38 dependent: set(knuth_bendix).
% 0.20/0.38 dependent: set(para_from).
% 0.20/0.38 dependent: set(para_into).
% 0.20/0.38 dependent: clear(para_from_right).
% 0.20/0.38 dependent: clear(para_into_right).
% 0.20/0.38 dependent: set(para_from_vars).
% 0.20/0.38 dependent: set(eq_units_both_ways).
% 0.20/0.38 dependent: set(dynamic_demod_all).
% 0.20/0.38 dependent: set(dynamic_demod).
% 0.20/0.38 dependent: set(order_eq).
% 0.20/0.38 dependent: set(back_demod).
% 0.20/0.38 dependent: set(lrpo).
% 0.20/0.38 dependent: set(hyper_res).
% 0.20/0.38 dependent: set(unit_deletion).
% 0.20/0.38 dependent: set(factor).
% 0.20/0.38
% 0.20/0.38 ------------> process usable:
% 0.20/0.38
% 0.20/0.38 ------------> process sos:
% 0.20/0.38 Following clause subsumed by 104 during input processing: 0 [copy,104,flip.1] {-} A=A.
% 0.20/0.38 104 back subsumes 50.
% 0.20/0.38
% 0.20/0.38 ======= end of input processing =======
% 0.20/0.44
% 0.20/0.44 Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.44
% 0.20/0.44 Stopped by limit on number of solutions
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 -------------- Softie stats --------------
% 0.20/0.44
% 0.20/0.44 UPDATE_STOP: 300
% 0.20/0.44 SFINDER_TIME_LIMIT: 2
% 0.20/0.44 SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.44 number of clauses in intial UL: 84
% 0.20/0.44 number of clauses initially in problem: 103
% 0.20/0.44 percentage of clauses intially in UL: 81
% 0.20/0.44 percentage of distinct symbols occuring in initial UL: 87
% 0.20/0.44 percent of all initial clauses that are short: 100
% 0.20/0.44 absolute distinct symbol count: 33
% 0.20/0.44 distinct predicate count: 11
% 0.20/0.44 distinct function count: 14
% 0.20/0.44 distinct constant count: 8
% 0.20/0.44
% 0.20/0.44 ---------- no more Softie stats ----------
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.44
% 0.20/0.44 Stopped by limit on number of solutions
% 0.20/0.44
% 0.20/0.44 =========== start of search ===========
% 11.08/11.28
% 11.08/11.28
% 11.08/11.28 Changing weight limit from 60 to 38.
% 11.08/11.28
% 11.08/11.28 Model 3 (0.00 seconds, 0 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on number of solutions
% 11.08/11.28
% 11.08/11.28 Model 4 (0.00 seconds, 0 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on number of solutions
% 11.08/11.28
% 11.08/11.28 Model 5 (0.00 seconds, 0 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on number of solutions
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 6 [ 1 1 658 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Model 7 (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on number of solutions
% 11.08/11.28
% 11.08/11.28 Model 8 (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on number of solutions
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 9 (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on number of solutions
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 10 [ 1 1 2192 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 11 [ 1 1 7687 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Model 12 (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on number of solutions
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 13 [ 2 1 9018 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 14 [ 3 1 5006 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 15 [ 4 0 3121 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 16 [ 5 1 4487 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 17 [ 5 1 5314 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 18 [ 8 1 456 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 19 [ 4 0 1805 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 20 [ 5 1 12732 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 21 [ 4 4 34906 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 22 [ 2 3 23226 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 23 [ 2 2 15630 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 24 [ 9 1 5373 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 25 [ 7 1 4149 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 26 [ 6 0 2062 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 27 [ 11 1 463 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 28 [ 10 1 7725 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 29 [ 6 1 6516 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 30 [ 14 1 469 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 31 [ 9 1 4843 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 32 [ 13 1 12381 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 33 [ 13 1 4893 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 34 [ 7 1 10970 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 35 [ 12 2 16709 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 36 [ 10 1 3352 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 37 [ 10 2 10144 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 38 [ 8 0 1549 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 39 [ 6 1 10487 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 40 [ 19 0 1745 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Stopped by limit on insertions
% 11.08/11.28
% 11.08/11.28 Model 41 [ 10 1 500 ] (0.00 seconds, 250000 Inserts)
% 11.08/11.28
% 11.08/11.28 Resetting weight limit to 38 after 115 givens.
% 11.08/11.28
% 11.79/11.98
% 11.79/11.98
% 11.79/11.98 Changing weight limit from 38 to 39.
% 11.79/11.98
% 11.79/11.98 Stopped by limit on insertions
% 11.79/11.98
% 11.79/11.98 Model 42 [ 10 1 7297 ] (0.00 seconds, 250000 Inserts)
% 11.79/11.98
% 11.79/11.98 Resetting weight limit to 39 after 130 givens.
% 11.79/11.98
% 13.87/14.05
% 13.87/14.05
% 13.87/14.05 Changing weight limit from 39 to 32.
% 13.87/14.05
% 13.87/14.05 Stopped by limit on insertions
% 13.87/14.05
% 13.87/14.05 Model 43 [ 18 12 84406 ] (0.00 seconds, 250000 Inserts)
% 13.87/14.05
% 13.87/14.05 Stopped by limit on insertions
% 13.87/14.05
% 13.87/14.05 Model 44 [ 14 1 7270 ] (0.00 seconds, 250000 Inserts)
% 13.87/14.05
% 13.87/14.05 Stopped by limit on insertions
% 13.87/14.05
% 13.87/14.05 Model 45 [ 11 5 33813 ] (0.00 seconds, 250000 Inserts)
% 13.87/14.05
% 13.87/14.05 Resetting weight limit to 32 after 135 givens.
% 13.87/14.05
% 14.21/14.41
% 14.21/14.41
% 14.21/14.41 Changing weight limit from 32 to 31.
% 14.21/14.41
% 14.21/14.41 Resetting weight limit to 31 after 140 givens.
% 14.21/14.41
% 16.06/16.25
% 16.06/16.25
% 16.06/16.25 Changing weight limit from 31 to 30.
% 16.06/16.25
% 16.06/16.25 Stopped by limit on insertions
% 16.06/16.25
% 16.06/16.25 Model 46 [ 14 1 8110 ] (0.00 seconds, 250000 Inserts)
% 16.06/16.25
% 16.06/16.25 Stopped by limit on insertions
% 16.06/16.25
% 16.06/16.25 Model 47 [ 14 2 13871 ] (0.00 seconds, 250000 Inserts)
% 16.06/16.25
% 16.06/16.25 Stopped by limit on insertions
% 16.06/16.25
% 16.06/16.25 Model 48 [ 8 22 107409 ] (0.00 seconds, 250000 Inserts)
% 16.06/16.25
% 16.06/16.25 Resetting weight limit to 30 after 145 givens.
% 16.06/16.25
% 17.69/17.94
% 17.69/17.94
% 17.69/17.94 Changing weight limit from 30 to 24.
% 17.69/17.94
% 17.69/17.94 Stopped by limit on insertions
% 17.69/17.94
% 17.69/17.94 Model 49 [ 17 33 181630 ] (0.00 seconds, 250000 Inserts)
% 17.69/17.94
% 17.69/17.94 Stopped by limit on insertions
% 17.69/17.94
% 17.69/17.94 Model 50 [ 13 3 27449 ] (0.00 seconds, 250000 Inserts)
% 17.69/17.94
% 17.69/17.94 Resetting weight limit to 24 after 150 givens.
% 17.69/17.94
% 22.66/22.92
% 22.66/22.92 -- HEY sandbox, WE HAVE A PROOF!! --
% 22.66/22.92
% 22.66/22.92 Stopped by limit on insertions
% 22.66/22.92
% 22.66/22.92 Stopped by limit on insertions
% 22.66/22.92
% 22.66/22.92 Model 51 [ 15 1 5593 ] (0.00 seconds, 250000 Inserts)
% 22.66/22.92
% 22.66/22.92 -----> EMPTY CLAUSE at 22.47 sec ----> 14645 [hyper,2065,43,2057,2061] {-} $F.
% 22.66/22.92
% 22.66/22.92 Length of proof is 8. Level of proof is 3.
% 22.66/22.92
% 22.66/22.92 ---------------- PROOF ----------------
% 22.66/22.92 % SZS status Theorem
% 22.66/22.92 % SZS output start Refutation
% 22.66/22.92
% 22.66/22.92 5 [] {+} -aElement0(A)| -aRewritingSystem0(B)| -aElement0(C)|sdtmndtplgtdt0(A,B,C)| -aReductOfIn0(C,A,B).
% 22.66/22.92 11 [] {+} -aElement0(A)| -aRewritingSystem0(B)| -aElement0(C)| -aElement0(D)| -sdtmndtasgtdt0(A,B,C)| -sdtmndtasgtdt0(C,B,D)|sdtmndtasgtdt0(A,B,D).
% 22.66/22.92 30 [] {+} -aRewritingSystem0(A)| -isTerminating0(A)| -aElement0(B)| -aElement0(C)| -sdtmndtplgtdt0(B,A,C)|iLess0(C,B).
% 22.66/22.92 35 [] {+} -aElement0(A)| -aRewritingSystem0(B)| -aNormalFormOfIn0(C,A,B)|aElement0(C).
% 22.66/22.92 36 [] {+} -aElement0(A)| -aRewritingSystem0(B)| -aNormalFormOfIn0(C,A,B)|sdtmndtasgtdt0(A,B,C).
% 22.66/22.92 40 [] {+} -aElement0(A)| -aElement0(B)| -aElement0(C)| -sdtmndtasgtdt0(A,xR,B)| -sdtmndtasgtdt0(A,xR,C)| -iLess0(A,xa)|aElement0($f14(A,B,C)).
% 22.66/22.92 41 [] {+} -aElement0(A)| -aElement0(B)| -aElement0(C)| -sdtmndtasgtdt0(A,xR,B)| -sdtmndtasgtdt0(A,xR,C)| -iLess0(A,xa)|sdtmndtasgtdt0(B,xR,$f14(A,B,C)).
% 22.66/22.92 42 [] {+} -aElement0(A)| -aElement0(B)| -aElement0(C)| -sdtmndtasgtdt0(A,xR,B)| -sdtmndtasgtdt0(A,xR,C)| -iLess0(A,xa)|sdtmndtasgtdt0(C,xR,$f14(A,B,C)).
% 22.66/22.92 43 [] {+} -aElement0(A)| -sdtmndtasgtdt0(xb,xR,A)| -sdtmndtasgtdt0(xd,xR,A).
% 22.66/22.92 86 [] {+} aRewritingSystem0(xR).
% 22.66/22.92 88 [] {+} isTerminating0(xR).
% 22.66/22.92 89 [] {+} aElement0(xa).
% 22.66/22.92 90 [] {+} aElement0(xb).
% 22.66/22.92 94 [] {-} aElement0(xu).
% 22.66/22.92 95 [] {+} aReductOfIn0(xu,xa,xR).
% 22.66/22.92 96 [] {+} sdtmndtasgtdt0(xu,xR,xb).
% 22.66/22.92 100 [] {+} aElement0(xw).
% 22.66/22.92 101 [] {+} sdtmndtasgtdt0(xu,xR,xw).
% 22.66/22.92 103 [] {+} aNormalFormOfIn0(xd,xw,xR).
% 22.66/22.92 145 [hyper,95,5,89,86,94] {+} sdtmndtplgtdt0(xa,xR,xu).
% 22.66/22.92 168 [hyper,103,36,100,86] {+} sdtmndtasgtdt0(xw,xR,xd).
% 22.66/22.92 169 [hyper,103,35,100,86] {+} aElement0(xd).
% 22.66/22.92 184 [hyper,145,30,86,88,89,94] {+} iLess0(xu,xa).
% 22.66/22.92 1390 [hyper,168,11,94,86,100,169,101] {+} sdtmndtasgtdt0(xu,xR,xd).
% 22.66/22.92 2057 [hyper,1390,42,94,169,90,96,184] {-} sdtmndtasgtdt0(xb,xR,$f14(xu,xd,xb)).
% 22.66/22.92 2061 [hyper,1390,41,94,169,90,96,184] {-} sdtmndtasgtdt0(xd,xR,$f14(xu,xd,xb)).
% 22.66/22.92 2065 [hyper,1390,40,94,169,90,96,184] {+} aElement0($f14(xu,xd,xb)).
% 22.66/22.92 14645 [hyper,2065,43,2057,2061] {-} $F.
% 22.66/22.92
% 22.66/22.92 % SZS output end Refutation
% 22.66/22.92 ------------ end of proof -------------
% 22.66/22.92
% 22.66/22.92
% 22.66/22.92 Search stopped by max_proofs option.
% 22.66/22.92
% 22.66/22.92
% 22.66/22.92 Search stopped by max_proofs option.
% 22.66/22.92
% 22.66/22.92 ============ end of search ============
% 22.66/22.92
% 22.66/22.92 ----------- soft-scott stats ----------
% 22.66/22.92
% 22.66/22.92 true clauses given 60 (31.1%)
% 22.66/22.92 false clauses given 133
% 22.66/22.92
% 22.66/22.92 FALSE TRUE
% 22.66/22.92 6 0 7
% 22.66/22.92 7 6 98
% 22.66/22.92 8 18 80
% 22.66/22.92 9 13 366
% 22.66/22.92 10 48 106
% 22.66/22.92 11 164 864
% 22.66/22.92 12 135 501
% 22.66/22.92 13 73 587
% 22.66/22.92 14 288 25
% 22.66/22.92 15 335 103
% 22.66/22.92 16 122 52
% 22.66/22.92 17 277 64
% 22.66/22.92 18 303 68
% 22.66/22.92 19 110 69
% 22.66/22.92 20 151 120
% 22.66/22.92 21 22 50
% 22.66/22.92 22 204 31
% 22.66/22.92 23 64 88
% 22.66/22.92 24 98 27
% 22.66/22.92 tot: 2431 3306 (57.6% true)
% 22.66/22.92
% 22.66/22.92
% 22.66/22.92 Model 51 [ 15 1 5593 ] (0.00 seconds, 250000 Inserts)
% 22.66/22.92
% 22.66/22.92 That finishes the proof of the theorem.
% 22.66/22.92
% 22.66/22.92 Process 4290 finished Thu Jun 16 19:52:11 2022
%------------------------------------------------------------------------------