TSTP Solution File: SYN183-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SYN183-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n011.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 : Thu Jul 21 12:10:44 EDT 2022
% Result : Unsatisfiable 12.64s 12.84s
% Output : Refutation 12.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN183-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 14:14:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.38 ----- Otter 3.2, August 2001 -----
% 0.12/0.38 The process was started by sandbox on n011.cluster.edu,
% 0.12/0.38 Mon Jul 11 14:14:57 2022
% 0.12/0.38 The command was "./sos". The process ID is 28206.
% 0.12/0.38
% 0.12/0.38 set(prolog_style_variables).
% 0.12/0.38 set(auto).
% 0.12/0.38 dependent: set(auto1).
% 0.12/0.38 dependent: set(process_input).
% 0.12/0.38 dependent: clear(print_kept).
% 0.12/0.38 dependent: clear(print_new_demod).
% 0.12/0.38 dependent: clear(print_back_demod).
% 0.12/0.38 dependent: clear(print_back_sub).
% 0.12/0.38 dependent: set(control_memory).
% 0.12/0.38 dependent: assign(max_mem, 12000).
% 0.12/0.38 dependent: assign(pick_given_ratio, 4).
% 0.12/0.38 dependent: assign(stats_level, 1).
% 0.12/0.38 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.38 dependent: assign(sos_limit, 5000).
% 0.12/0.38 dependent: assign(max_weight, 60).
% 0.12/0.38 clear(print_given).
% 0.12/0.38
% 0.12/0.38 list(usable).
% 0.12/0.38
% 0.12/0.38 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 0.12/0.38
% 0.12/0.38 This is a Horn set without equality. The strategy will
% 0.12/0.38 be hyperresolution, with satellites in sos and nuclei
% 0.12/0.38 in usable.
% 0.12/0.38
% 0.12/0.38 dependent: set(hyper_res).
% 0.12/0.38 dependent: clear(order_hyper).
% 0.12/0.38
% 0.12/0.38 ------------> process usable:
% 0.12/0.38 Following clause subsumed by 13 during input processing: 0 [] {-} m1(A,A,A)| -q0(B,C)| -q0(B,A).
% 0.12/0.38 Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -m0(B,C,A).
% 0.12/0.38 Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -l0(A)| -k0(A)| -m0(A,A,A).
% 0.12/0.38 Following clause subsumed by 12 during input processing: 0 [] {-} m1(e,e,e)| -r0(e).
% 0.12/0.38 Following clause subsumed by 63 during input processing: 0 [] {-} p1(A,A,A)| -n0(e,b)| -k0(b)| -k0(A)| -k1(B).
% 0.12/0.38 Following clause subsumed by 64 during input processing: 0 [] {-} p1(A,A,B)| -p0(B,A)| -r0(A).
% 0.12/0.38 Following clause subsumed by 63 during input processing: 0 [] {-} p1(e,e,e)| -r0(e)| -k0(e).
% 0.12/0.38 Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A)| -m0(B,B,C).
% 0.12/0.38 Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A).
% 0.12/0.38 Following clause subsumed by 88 during input processing: 0 [] {-} q1(d,d,d)| -k0(e)| -s0(d).
% 0.12/0.38 Following clause subsumed by 105 during input processing: 0 [] {-} q1(b,b,b)| -r0(b).
% 0.12/0.38 Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(B,C,A).
% 0.12/0.38 Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(A,B,A).
% 0.12/0.38 Following clause subsumed by 105 during input processing: 0 [] {-} q1(A,A,A)| -m0(c,A,A)| -r0(A).
% 0.12/0.38 Following clause subsumed by 142 during input processing: 0 [] {-} p2(A,A,A)| -s1(A)| -k1(A).
% 0.12/0.38 Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -n2(A)| -q2(B,C,A)| -s1(B).
% 0.12/0.38 Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -k1(A)| -n2(A).
% 0.12/0.38 13 back subsumes 9.
% 0.12/0.38 14 back subsumes 6.
% 0.12/0.38 28 back subsumes 21.
% 0.12/0.38 28 back subsumes 17.
% 0.12/0.38 40 back subsumes 39.
% 0.12/0.38 52 back subsumes 51.
% 0.12/0.38 77 back subsumes 68.
% 0.12/0.38 77 back subsumes 65.
% 0.12/0.38 142 back subsumes 134.
% 0.12/0.38 194 back subsumes 180.
% 0.12/0.38 216 back subsumes 213.
% 0.12/0.38 216 back subsumes 212.
% 0.12/0.38 244 back subsumes 239.
% 0.12/0.38
% 0.12/0.38 ------------> process sos:
% 0.12/0.38 Following clause subsumed by 321 during input processing: 0 [] {-} p0(b,c).
% 0.12/0.38 Following clause subsumed by 324 during input processing: 0 [] {-} q0(d,d).
% 0.12/0.38 321 back subsumes 317.
% 0.12/0.38 324 back subsumes 309.
% 0.12/0.38 326 back subsumes 315.
% 0.12/0.38 326 back subsumes 311.
% 0.12/0.38
% 0.12/0.38 ======= end of input processing =======
% 0.19/0.48
% 0.19/0.48 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.48
% 0.19/0.48 Stopped by limit on number of solutions
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 -------------- Softie stats --------------
% 0.19/0.48
% 0.19/0.48 UPDATE_STOP: 300
% 0.19/0.48 SFINDER_TIME_LIMIT: 2
% 0.19/0.48 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.48 number of clauses in intial UL: 294
% 0.19/0.48 number of clauses initially in problem: 326
% 0.19/0.48 percentage of clauses intially in UL: 90
% 0.19/0.48 percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.48 percent of all initial clauses that are short: 100
% 0.19/0.48 absolute distinct symbol count: 53
% 0.19/0.48 distinct predicate count: 48
% 0.19/0.48 distinct function count: 0
% 0.19/0.48 distinct constant count: 5
% 0.19/0.48
% 0.19/0.48 ---------- no more Softie stats ----------
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 =========== start of search ===========
% 9.92/10.13
% 9.92/10.13 Model 2 [ 4 2 2057 ] (0.00 seconds, 6110 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 3 [ 5 2 3873 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 4 [ 8 1 2965 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 5 [ 22 2 6245 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 6 [ 24 2 3339 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 7 [ 25 1 1551 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 8 [ 24 2 6186 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 9 [ 43 2 3681 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 10 [ 42 2 6988 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 11 [ 44 2 4191 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 12 [ 48 2 3357 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 13 [ 58 2 4875 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 14 [ 53 2 5248 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 15 [ 54 1 2210 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 16 [ 62 2 6865 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 17 [ 56 2 9452 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 18 [ 58 2 7816 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 19 [ 62 2 5228 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 20 [ 62 1 1752 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 21 [ 63 3 8358 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 22 [ 61 2 3652 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 23 [ 78 2 4765 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 24 [ 69 2 5391 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 25 [ 80 2 2297 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 26 [ 69 1 4530 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 27 [ 75 2 2586 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 28 [ 75 2 5908 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 29 [ 74 2 8818 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 30 [ 79 3 10795 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 31 [ 77 3 5596 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 32 [ 81 2 1351 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 33 [ 83 2 8620 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 34 [ 83 3 8895 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 35 [ 88 1 2983 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 36 [ 81 2 5381 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 37 [ 84 2 2190 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 38 [ 84 2 3829 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 39 [ 91 2 4200 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 40 [ 92 2 2666 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 41 [ 85 2 7133 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 42 [ 92 1 1860 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 43 [ 92 2 4622 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 44 [ 100 2 4567 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 45 [ 93 2 7179 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 46 [ 94 2 2972 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 47 [ 103 2 6192 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 9.92/10.13 Model 48 [ 92 2 6265 ] (0.00 seconds, 250000 Inserts)
% 9.92/10.13
% 9.92/10.13 Stopped by limit on insertions
% 9.92/10.13
% 12.64/12.84 Model 49 [ 113 2
% 12.64/12.84 -- HEY sandbox, WE HAVE A PROOF!! --
% 12.64/12.84 9087 ] (0.00 seconds, 250000 Inserts)
% 12.64/12.84
% 12.64/12.84 Stopped by limit on insertions
% 12.64/12.84
% 12.64/12.84 Model 50 [ 92 2 6675 ] (0.00 seconds, 250000 Inserts)
% 12.64/12.84
% 12.64/12.84 Stopped by limit on insertions
% 12.64/12.84
% 12.64/12.84 Model 51 [ 96 2 5294 ] (0.00 seconds, 250000 Inserts)
% 12.64/12.84
% 12.64/12.84 Stopped by limit on insertions
% 12.64/12.84
% 12.64/12.84 Model 52 [ 95 2 4883 ] (0.00 seconds, 250000 Inserts)
% 12.64/12.84
% 12.64/12.84 Stopped by limit on insertions
% 12.64/12.84
% 12.64/12.84 Model 53 [ 104 2 5374 ] (0.00 seconds, 250000 Inserts)
% 12.64/12.84
% 12.64/12.84 Stopped by limit on insertions
% 12.64/12.84
% 12.64/12.84 Model 54 [ 96 2 8014 ] (0.00 seconds, 250000 Inserts)
% 12.64/12.84
% 12.64/12.84 Stopped by limit on insertions
% 12.64/12.84
% 12.64/12.84 Model 55 [ 120 2 5549 ] (0.00 seconds, 250000 Inserts)
% 12.64/12.84
% 12.64/12.84 Stopped by limit on insertions
% 12.64/12.84
% 12.64/12.84 Model 56 [ 115 2 2076 ] (0.00 seconds, 250000 Inserts)
% 12.64/12.84
% 12.64/12.84 Stopped by limit on insertions
% 12.64/12.84
% 12.64/12.84 Model 57 [ 112 2 6378 ] (0.00 seconds, 250000 Inserts)
% 12.64/12.84
% 12.64/12.84 Stopped by limit on insertions
% 12.64/12.84
% 12.64/12.84 Model 58 [ 123 1 4713 ] (0.00 seconds, 250000 Inserts)
% 12.64/12.84
% 12.64/12.84 Stopped by limit on insertions
% 12.64/12.84
% 12.64/12.84 Model 59 [ 111 2 7887 ] (0.00 seconds, 250000 Inserts)
% 12.64/12.84
% 12.64/12.84 Stopped by limit on insertions
% 12.64/12.84
% 12.64/12.84 Model 60 [ 111 2 5541 ] (0.00 seconds, 250000 Inserts)
% 12.64/12.84
% 12.64/12.84 Stopped by limit on insertions
% 12.64/12.84
% 12.64/12.84 Model 61 [ 130 2 3886 ] (0.00 seconds, 250000 Inserts)
% 12.64/12.84
% 12.64/12.84 Stopped by limit on insertions
% 12.64/12.84
% 12.64/12.84 Model 62 [ 114 2 5606 ] (0.00 seconds, 250000 Inserts)
% 12.64/12.84
% 12.64/12.84 Stopped by limit on insertions
% 12.64/12.84
% 12.64/12.84 Model 63 [ 120 1 2326 ] (0.00 seconds, 250000 Inserts)
% 12.64/12.84
% 12.64/12.84 Stopped by limit on insertions
% 12.64/12.84
% 12.64/12.84 Model 64 [ 114 2 8285 ] (0.00 seconds, 250000 Inserts)
% 12.64/12.84
% 12.64/12.84 ----> UNIT CONFLICT at 12.43 sec ----> 586 [binary,585.1,307.1] {-} $F.
% 12.64/12.84
% 12.64/12.84 Length of proof is 6. Level of proof is 6.
% 12.64/12.84
% 12.64/12.84 ---------------- PROOF ----------------
% 12.64/12.84 % SZS status Unsatisfiable
% 12.64/12.84 % SZS output start Refutation
% 12.64/12.84
% 12.64/12.84 109 [] {+} s1(A)| -p0(A,A).
% 12.64/12.84 110 [] {+} s1(A)| -q0(A,B)| -s1(C).
% 12.64/12.84 116 [] {+} l2(A,A)| -p0(B,B)| -s1(C)| -m0(D,C,A).
% 12.64/12.84 226 [] {+} p3(A,A,A)| -l2(A,A).
% 12.64/12.84 254 [] {+} l4(A)| -p3(B,C,A).
% 12.64/12.84 300 [] {+} q5(A,A)| -l4(A).
% 12.64/12.84 307 [] {+} -q5(e,e).
% 12.64/12.84 321 [] {-} p0(b,A).
% 12.64/12.84 324 [] {-} q0(A,d).
% 12.64/12.84 326 [] {-} m0(A,d,B).
% 12.64/12.84 377 [hyper,321,109] {+} s1(b).
% 12.64/12.84 402 [hyper,377,110,324] {+} s1(A).
% 12.64/12.84 406 [hyper,326,116,321,402] {-} l2(A,A).
% 12.64/12.84 457 [hyper,406,226] {-} p3(A,A,A).
% 12.64/12.84 577 [hyper,457,254] {-} l4(A).
% 12.64/12.84 585 [hyper,577,300] {-} q5(A,A).
% 12.64/12.84 586 [binary,585.1,307.1] {-} $F.
% 12.64/12.84
% 12.64/12.84 % SZS output end Refutation
% 12.64/12.84 ------------ end of proof -------------
% 12.64/12.84
% 12.64/12.84
% 12.64/12.84 Search stopped by max_proofs option.
% 12.64/12.84
% 12.64/12.84
% 12.64/12.84 Search stopped by max_proofs option.
% 12.64/12.84
% 12.64/12.84 ============ end of search ============
% 12.64/12.84
% 12.64/12.84 ----------- soft-scott stats ----------
% 12.64/12.84
% 12.64/12.84 true clauses given 6 (4.8%)
% 12.64/12.84 false clauses given 119
% 12.64/12.84
% 12.64/12.84 FALSE TRUE
% 12.64/12.84 2 0 4
% 12.64/12.84 3 1 3
% 12.64/12.84 4 45 30
% 12.64/12.84 tot: 46 37 (44.6% true)
% 12.64/12.84
% 12.64/12.84
% 12.64/12.84 Model 64 [ 114 -15 8285 ] (0.00 seconds, 250000 Inserts)
% 12.64/12.84
% 12.64/12.84 That finishes the proof of the theorem.
% 12.64/12.84
% 12.64/12.84 Process 28206 finished Mon Jul 11 14:15:10 2022
%------------------------------------------------------------------------------