TSTP Solution File: FLD001-3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : FLD001-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n021.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 02:27:32 EDT 2022
% Result : Unsatisfiable 20.10s 20.29s
% Output : Refutation 20.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD001-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 6 14:22:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 ----- Otter 3.2, August 2001 -----
% 0.13/0.35 The process was started by sandbox2 on n021.cluster.edu,
% 0.13/0.35 Mon Jun 6 14:22:50 2022
% 0.13/0.35 The command was "./sos". The process ID is 29016.
% 0.13/0.35
% 0.13/0.35 set(prolog_style_variables).
% 0.13/0.35 set(auto).
% 0.13/0.35 dependent: set(auto1).
% 0.13/0.35 dependent: set(process_input).
% 0.13/0.35 dependent: clear(print_kept).
% 0.13/0.35 dependent: clear(print_new_demod).
% 0.13/0.35 dependent: clear(print_back_demod).
% 0.13/0.35 dependent: clear(print_back_sub).
% 0.13/0.35 dependent: set(control_memory).
% 0.13/0.35 dependent: assign(max_mem, 12000).
% 0.13/0.35 dependent: assign(pick_given_ratio, 4).
% 0.13/0.35 dependent: assign(stats_level, 1).
% 0.13/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35 dependent: assign(sos_limit, 5000).
% 0.13/0.35 dependent: assign(max_weight, 60).
% 0.13/0.35 clear(print_given).
% 0.13/0.35
% 0.13/0.35 list(usable).
% 0.13/0.35
% 0.13/0.35 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 0.13/0.35
% 0.13/0.35 This is a non-Horn set without equality. The strategy
% 0.13/0.35 will be ordered hyper_res, ur_res, unit deletion, and
% 0.13/0.35 factoring, with satellites in sos and nuclei in usable.
% 0.13/0.35
% 0.13/0.35 dependent: set(hyper_res).
% 0.13/0.35 dependent: set(factor).
% 0.13/0.35 dependent: set(unit_deletion).
% 0.13/0.35
% 0.13/0.35 ------------> process usable:
% 0.13/0.35
% 0.13/0.35 ------------> process sos:
% 0.13/0.35
% 0.13/0.35 ======= end of input processing =======
% 0.19/0.44
% 0.19/0.44 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.44
% 0.19/0.44 Stopped by limit on number of solutions
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 -------------- Softie stats --------------
% 0.19/0.44
% 0.19/0.44 UPDATE_STOP: 300
% 0.19/0.44 SFINDER_TIME_LIMIT: 2
% 0.19/0.44 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.44 number of clauses in intial UL: 48
% 0.19/0.44 number of clauses initially in problem: 53
% 0.19/0.44 percentage of clauses intially in UL: 90
% 0.19/0.44 percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.44 percent of all initial clauses that are short: 100
% 0.19/0.44 absolute distinct symbol count: 12
% 0.19/0.44 distinct predicate count: 4
% 0.19/0.44 distinct function count: 4
% 0.19/0.44 distinct constant count: 4
% 0.19/0.44
% 0.19/0.44 ---------- no more Softie stats ----------
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.44
% 0.19/0.44 Stopped by limit on number of solutions
% 0.19/0.44
% 0.19/0.44 =========== start of search ===========
% 6.40/6.61
% 6.40/6.61
% 6.40/6.61 Changing weight limit from 60 to 14.
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 3 [ 1 1 109 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 4 [ 2 2 106 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 5 [ 2 2 154 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 6 [ 2 1 12481 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 7 [ 2 2 107 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 8 [ 5 1 146 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 9 [ 3 1 187 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 10 [ 4 1 103 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 11 [ 5 1 106 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 12 [ 4 1 105 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 13 [ 4 2 198 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 14 [ 6 2 111 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 15 [ 10 1 104 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 16 [ 5 2 109 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 17 [ 6 2 330 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 18 [ 3 3 47999 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 19 [ 6 2 103 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 20 [ 14 1 137 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 21 [ 7 1 421 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 22 [ 5 1 199 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 23 [ 3 2 148 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 24 [ 17 1 248 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 25 [ 17 1 104 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 26 [ 5 2 306 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 27 [ 6 2 3749 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 28 [ 8 1 386 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 29 [ 6 1 188 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 30 [ 23 2 107 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 31 [ 10 1 415 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 32 [ 9 1 330 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 33 [ 10 1 104 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 34 [ 29 1 138 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 35 [ 26 1 180 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 36 [ 13 1 103 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 37 [ 6 2 441 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 38 [ 28 1 107 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 39 [ 12 1 409 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 40 [ 29 1 104 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 41 [ 14 29 237789 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Stopped by limit on insertions
% 6.40/6.61
% 6.40/6.61 Model 42 [ 7 2 133 ] (0.00 seconds, 250000 Inserts)
% 6.40/6.61
% 6.40/6.61 Resetting weight limit to 14 after 50 givens.
% 6.40/6.61
% 9.47/9.71
% 9.47/9.71
% 9.47/9.71 Changing weight limit from 14 to 15.
% 9.47/9.71
% 9.47/9.71 Stopped by limit on insertions
% 9.47/9.71
% 9.47/9.71 Model 43 [ 11 2 136 ] (0.00 seconds, 250000 Inserts)
% 9.47/9.71
% 9.47/9.71 Stopped by limit on insertions
% 9.47/9.71
% 9.47/9.71 Model 44 [ 38 1 221 ] (0.00 seconds, 250000 Inserts)
% 9.47/9.71
% 9.47/9.71 Stopped by limit on insertions
% 9.47/9.71
% 9.47/9.71 Model 45 [ 17 9 60030 ] (0.00 seconds, 250000 Inserts)
% 9.47/9.71
% 9.47/9.71 Stopped by limit on insertions
% 9.47/9.71
% 9.47/9.71 Model 46 [ 13 1 121 ] (0.00 seconds, 250000 Inserts)
% 9.47/9.71
% 9.47/9.71 Stopped by limit on insertions
% 9.47/9.71
% 9.47/9.71 Model 47 [ 31 1 203 ] (0.00 seconds, 250000 Inserts)
% 9.47/9.71
% 9.47/9.71 Stopped by limit on insertions
% 9.47/9.71
% 9.47/9.71 Model 48 [ 13 1 103 ] (0.00 seconds, 250000 Inserts)
% 9.47/9.71
% 9.47/9.71 Stopped by limit on insertions
% 9.47/9.71
% 9.47/9.71 Model 49 [ 11 1 104 ] (0.00 seconds, 250000 Inserts)
% 9.47/9.71
% 9.47/9.71 Stopped by limit on insertions
% 9.47/9.71
% 9.47/9.71 Model 50 [ 39 2 102 ] (0.00 seconds, 250000 Inserts)
% 9.47/9.71
% 9.47/9.71 Resetting weight limit to 15 after 60 givens.
% 9.47/9.71
% 11.27/11.49
% 11.27/11.49
% 11.27/11.49 Changing weight limit from 15 to 12.
% 11.27/11.49
% 11.27/11.49 Stopped by limit on insertions
% 11.27/11.49
% 11.27/11.49 Model 51 [ 16 1 108 ] (0.00 seconds, 250000 Inserts)
% 11.27/11.49
% 11.27/11.49 Stopped by limit on insertions
% 11.27/11.49
% 11.27/11.49 Model 52 [ 32 23 124830 ] (0.00 seconds, 250000 Inserts)
% 11.27/11.49
% 11.27/11.49 Stopped by limit on insertions
% 11.27/11.49
% 11.27/11.49 Model 53 [ 20 5 16513 ] (0.00 seconds, 250000 Inserts)
% 11.27/11.49
% 11.27/11.49 Stopped by limit on insertions
% 11.27/11.49
% 11.27/11.49 Model 54 [ 9 1 427 ] (0.00 seconds, 250000 Inserts)
% 11.27/11.49
% 11.27/11.49 Resetting weight limit to 12 after 65 givens.
% 11.27/11.49
% 20.10/20.28
% 20.10/20.28 -- HEY sandbox2, WE HAVE A PROOF!! --
% 20.10/20.28
% 20.10/20.28 Stopped by limit on insertions
% 20.10/20.28
% 20.10/20.28 Model 55 [ 18 2 2606 ] (0.00 seconds, 250000 Inserts)
% 20.10/20.28
% 20.10/20.28 Stopped by limit on insertions
% 20.10/20.28
% 20.10/20.28 Model 56 [ 19 2 251 ] (0.00 seconds, 250000 Inserts)
% 20.10/20.28
% 20.10/20.28 Stopped by limit on insertions
% 20.10/20.28
% 20.10/20.28 Model 57 [ 48 2 236 ] (0.00 seconds, 250000 Inserts)
% 20.10/20.28
% 20.10/20.28 Stopped by limit on insertions
% 20.10/20.28
% 20.10/20.28 Model 58 [ 17 1 132 ] (0.00 seconds, 250000 Inserts)
% 20.10/20.28
% 20.10/20.28 Stopped by limit on insertions
% 20.10/20.28
% 20.10/20.28 Model 59 [ 15 38 200169 ] (0.00 seconds, 250000 Inserts)
% 20.10/20.28
% 20.10/20.29 Stopped by limit on insertions
% 20.10/20.29
% 20.10/20.29 Model 60 [ 16 2 140 ] (0.00 seconds, 250000 Inserts)
% 20.10/20.29
% 20.10/20.29 Stopped by limit on insertions
% 20.10/20.29
% 20.10/20.29 Model 61 [ 22 2 103 ] (0.00 seconds, 250000 Inserts)
% 20.10/20.29
% 20.10/20.29 Stopped by limit on insertions
% 20.10/20.29
% 20.10/20.29 Model 62 [ 45 70 246164 ] (0.00 seconds, 250000 Inserts)
% 20.10/20.29
% 20.10/20.29 Stopped by limit on insertions
% 20.10/20.29
% 20.10/20.29 Model 63 [ 12 2 578 ] (0.00 seconds, 250000 Inserts)
% 20.10/20.29
% 20.10/20.29 Stopped by limit on insertions
% 20.10/20.29
% 20.10/20.29 Model 64 [ 25 12 72942 ] (0.00 seconds, 250000 Inserts)
% 20.10/20.29
% 20.10/20.29 Stopped by limit on insertions
% 20.10/20.29
% 20.10/20.29 Model 65 [ 18 14 64185 ] (0.00 seconds, 250000 Inserts)
% 20.10/20.29
% 20.10/20.29 Stopped by limit on insertions
% 20.10/20.29
% 20.10/20.29 Model 66 [ 44 2 434 ] (0.00 seconds, 250000 Inserts)
% 20.10/20.29
% 20.10/20.29 Stopped by limit on insertions
% 20.10/20.29
% 20.10/20.29 Model 67 [ 13 1 773 ] (0.00 seconds, 250000 Inserts)
% 20.10/20.29
% 20.10/20.29 Stopped by limit on insertions
% 20.10/20.29
% 20.10/20.29 Model 68 [ 20 1 140 ] (0.00 seconds, 250000 Inserts)
% 20.10/20.29
% 20.10/20.29 Stopped by limit on insertions
% 20.10/20.29
% 20.10/20.29 Model 69 [ 27 24 137954 ] (0.00 seconds, 250000 Inserts)
% 20.10/20.29
% 20.10/20.29 Stopped by limit on insertions
% 20.10/20.29
% 20.10/20.29 Model 70 [ 43 2 253 ] (0.00 seconds, 250000 Inserts)
% 20.10/20.29
% 20.10/20.29 Stopped by limit on insertions
% 20.10/20.29
% 20.10/20.29 Model 71 [ 61 1 180 ] (0.00 seconds, 250000 Inserts)
% 20.10/20.29
% 20.10/20.29 Stopped by limit on insertions
% 20.10/20.29
% 20.10/20.29 ----> UNIT CONFLICT at 19.86 sec ----> 8388 [binary,8387.1,25.1] {+} $F.
% 20.10/20.29
% 20.10/20.29 Length of proof is 12. Level of proof is 5.
% 20.10/20.29
% 20.10/20.29 ---------------- PROOF ----------------
% 20.10/20.29 % SZS status Unsatisfiable
% 20.10/20.29 % SZS output start Refutation
% 20.10/20.29
% 20.10/20.29 1 [] {+} sum(A,B,C)| -sum(A,D,E)| -sum(D,F,B)| -sum(E,F,C).
% 20.10/20.29 3 [] {+} sum(additive_identity,A,A)| -defined(A).
% 20.10/20.29 5 [] {+} sum(A,B,C)| -sum(B,A,C).
% 20.10/20.29 8 [] {+} product(multiplicative_identity,A,A)| -defined(A).
% 20.10/20.29 10 [] {+} product(A,B,C)| -product(B,A,C).
% 20.10/20.29 12 [] {+} product(A,B,C)| -sum(D,E,A)| -product(D,B,F)| -product(E,B,G)| -sum(F,G,C).
% 20.10/20.29 25 [] {+} -product(multiplicative_identity,a,b).
% 20.10/20.29 49 [] {+} defined(additive_identity).
% 20.10/20.29 51 [] {+} defined(a).
% 20.10/20.29 52 [] {+} defined(b).
% 20.10/20.29 53 [] {+} sum(additive_identity,a,b).
% 20.10/20.29 62 [hyper,49,8] {+} product(multiplicative_identity,additive_identity,additive_identity).
% 20.10/20.29 64 [hyper,49,3] {+} sum(additive_identity,additive_identity,additive_identity).
% 20.10/20.29 113 [hyper,51,3] {+} sum(additive_identity,a,a).
% 20.10/20.29 149 [hyper,52,8] {+} product(multiplicative_identity,b,b).
% 20.10/20.29 151 [hyper,52,3] {+} sum(additive_identity,b,b).
% 20.10/20.29 1314 [hyper,62,10] {+} product(additive_identity,multiplicative_identity,additive_identity).
% 20.10/20.29 1315 [hyper,149,10] {+} product(b,multiplicative_identity,b).
% 20.10/20.29 1327 [hyper,64,1,53,113] {+} sum(additive_identity,b,a).
% 20.10/20.29 1837 [hyper,151,5] {+} sum(b,additive_identity,b).
% 20.10/20.29 2632 [hyper,1327,5] {+} sum(b,additive_identity,a).
% 20.10/20.29 8372 [hyper,1314,12,2632,1315,1837] {-} product(a,multiplicative_identity,b).
% 20.10/20.29 8387 [hyper,8372,10] {-} product(multiplicative_identity,a,b).
% 20.10/20.29 8388 [binary,8387.1,25.1] {+} $F.
% 20.10/20.29
% 20.10/20.29 % SZS output end Refutation
% 20.10/20.29 ------------ end of proof -------------
% 20.10/20.29
% 20.10/20.29
% 20.10/20.29 Search stopped by max_proofs option.
% 20.10/20.29
% 20.10/20.29
% 20.10/20.29 Search stopped by max_proofs option.
% 20.10/20.29
% 20.10/20.29 ============ end of search ============
% 20.10/20.29
% 20.10/20.29 ----------- soft-scott stats ----------
% 20.10/20.29
% 20.10/20.29 true clauses given 18 (18.4%)
% 20.10/20.29 false clauses given 80
% 20.10/20.29
% 20.10/20.29 FALSE TRUE
% 20.10/20.29 4 1 0
% 20.10/20.29 5 110 7
% 20.10/20.29 6 688 21
% 20.10/20.29 7 691 6
% 20.10/20.29 8 1650 61
% 20.10/20.29 9 287 3
% 20.10/20.29 10 37 20
% 20.10/20.29 11 0 2
% 20.10/20.29 12 47 21
% 20.10/20.29 tot: 3511 141 (3.9% true)
% 20.10/20.29
% 20.10/20.29
% 20.10/20.29 Model 71 [ 61 -49 180 ] (0.00 seconds, 250000 Inserts)
% 20.10/20.29
% 20.10/20.29 That finishes the proof of the theorem.
% 20.10/20.29
% 20.10/20.29 Process 29016 finished Mon Jun 6 14:23:10 2022
%------------------------------------------------------------------------------