TSTP Solution File: GEO626+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO626+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n023.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 06:21:13 EDT 2022
% Result : Theorem 70.14s 70.36s
% Output : Refutation 70.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO626+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : sos-script %s
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jun 18 10:19:19 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.36 ----- Otter 3.2, August 2001 -----
% 0.18/0.36 The process was started by sandbox2 on n023.cluster.edu,
% 0.18/0.36 Sat Jun 18 10:19:19 2022
% 0.18/0.36 The command was "./sos". The process ID is 10389.
% 0.18/0.36
% 0.18/0.36 set(prolog_style_variables).
% 0.18/0.36 set(auto).
% 0.18/0.36 dependent: set(auto1).
% 0.18/0.36 dependent: set(process_input).
% 0.18/0.36 dependent: clear(print_kept).
% 0.18/0.36 dependent: clear(print_new_demod).
% 0.18/0.36 dependent: clear(print_back_demod).
% 0.18/0.36 dependent: clear(print_back_sub).
% 0.18/0.36 dependent: set(control_memory).
% 0.18/0.36 dependent: assign(max_mem, 12000).
% 0.18/0.36 dependent: assign(pick_given_ratio, 4).
% 0.18/0.36 dependent: assign(stats_level, 1).
% 0.18/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.36 dependent: assign(sos_limit, 5000).
% 0.18/0.36 dependent: assign(max_weight, 60).
% 0.18/0.36 clear(print_given).
% 0.18/0.36
% 0.18/0.36 formula_list(usable).
% 0.18/0.36
% 0.18/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.18/0.36
% 0.18/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.36 clauses in usable.
% 0.18/0.36
% 0.18/0.36 dependent: set(knuth_bendix).
% 0.18/0.36 dependent: set(para_from).
% 0.18/0.36 dependent: set(para_into).
% 0.18/0.36 dependent: clear(para_from_right).
% 0.18/0.36 dependent: clear(para_into_right).
% 0.18/0.36 dependent: set(para_from_vars).
% 0.18/0.36 dependent: set(eq_units_both_ways).
% 0.18/0.36 dependent: set(dynamic_demod_all).
% 0.18/0.36 dependent: set(dynamic_demod).
% 0.18/0.36 dependent: set(order_eq).
% 0.18/0.36 dependent: set(back_demod).
% 0.18/0.36 dependent: set(lrpo).
% 0.18/0.36 dependent: set(hyper_res).
% 0.18/0.36 dependent: set(unit_deletion).
% 0.18/0.36 dependent: set(factor).
% 0.18/0.36
% 0.18/0.36 ------------> process usable:
% 0.18/0.36 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).
% 0.18/0.36
% 0.18/0.36 ------------> process sos:
% 0.18/0.36 Following clause subsumed by 169 during input processing: 0 [copy,169,flip.1] {-} A=A.
% 0.18/0.36 169 back subsumes 146.
% 0.18/0.36 169 back subsumes 145.
% 0.18/0.36 169 back subsumes 144.
% 0.18/0.36 169 back subsumes 143.
% 0.18/0.36
% 0.18/0.36 ======= 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: 165
% 0.18/0.43 percentage of clauses intially in UL: 93
% 0.18/0.43 percentage of distinct symbols occuring in initial UL: 81
% 0.18/0.43 percent of all initial clauses that are short: 100
% 0.18/0.43 absolute distinct symbol count: 44
% 0.18/0.43 distinct predicate count: 12
% 0.18/0.43 distinct function count: 20
% 0.18/0.43 distinct constant count: 12
% 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 ===========
% 7.14/7.34
% 7.14/7.34
% 7.14/7.34 Changing weight limit from 60 to 57.
% 7.14/7.34
% 7.14/7.34 Resetting weight limit to 57 after 250 givens.
% 7.14/7.34
% 7.78/8.01
% 7.78/8.01
% 7.78/8.01 Changing weight limit from 57 to 56.
% 7.78/8.01
% 7.78/8.01 Resetting weight limit to 56 after 255 givens.
% 7.78/8.01
% 10.07/10.29
% 10.07/10.29
% 10.07/10.29 Changing weight limit from 56 to 55.
% 10.07/10.29
% 10.07/10.29 Resetting weight limit to 55 after 270 givens.
% 10.07/10.29
% 12.67/12.89
% 12.67/12.89
% 12.67/12.89 Changing weight limit from 55 to 54.
% 12.67/12.89
% 12.67/12.89 Modelling stopped after 300 given clauses and 0.00 seconds
% 12.67/12.89
% 12.67/12.89
% 12.67/12.89 Resetting weight limit to 54 after 300 givens.
% 12.67/12.89
% 13.36/13.63
% 13.36/13.63
% 13.36/13.63 Changing weight limit from 54 to 52.
% 13.36/13.63
% 13.36/13.63 Resetting weight limit to 52 after 315 givens.
% 13.36/13.63
% 14.55/14.80
% 14.55/14.80
% 14.55/14.80 Changing weight limit from 52 to 51.
% 14.55/14.80
% 14.55/14.80 Resetting weight limit to 51 after 330 givens.
% 14.55/14.80
% 18.00/18.22
% 18.00/18.22
% 18.00/18.23 Changing weight limit from 51 to 50.
% 18.00/18.23
% 18.00/18.23 Resetting weight limit to 50 after 385 givens.
% 18.00/18.23
% 21.40/21.63
% 21.40/21.63
% 21.40/21.63 Changing weight limit from 50 to 49.
% 21.40/21.63
% 21.40/21.63 Resetting weight limit to 49 after 455 givens.
% 21.40/21.63
% 22.67/22.91
% 22.67/22.91
% 22.67/22.91 Changing weight limit from 49 to 47.
% 22.67/22.91
% 22.67/22.91 Resetting weight limit to 47 after 480 givens.
% 22.67/22.91
% 22.95/23.14
% 22.95/23.14
% 22.95/23.14 Changing weight limit from 47 to 46.
% 22.95/23.14
% 22.95/23.14 Resetting weight limit to 46 after 485 givens.
% 22.95/23.14
% 23.47/23.67
% 23.47/23.67
% 23.47/23.67 Changing weight limit from 46 to 45.
% 23.47/23.67
% 23.47/23.67 Resetting weight limit to 45 after 495 givens.
% 23.47/23.67
% 24.23/24.44
% 24.23/24.44
% 24.23/24.44 Changing weight limit from 45 to 44.
% 24.23/24.44
% 24.23/24.44 Resetting weight limit to 44 after 510 givens.
% 24.23/24.44
% 24.41/24.62
% 24.41/24.62
% 24.41/24.62 Changing weight limit from 44 to 34.
% 24.41/24.62
% 24.41/24.62 Resetting weight limit to 34 after 515 givens.
% 24.41/24.62
% 24.68/24.89
% 24.68/24.89
% 24.68/24.89 Changing weight limit from 34 to 31.
% 24.68/24.89
% 24.68/24.89 Resetting weight limit to 31 after 520 givens.
% 24.68/24.89
% 24.74/24.95
% 24.74/24.95
% 24.74/24.95 Changing weight limit from 31 to 30.
% 24.74/24.95
% 24.74/24.95 Resetting weight limit to 30 after 525 givens.
% 24.74/24.95
% 30.44/30.63
% 30.44/30.63
% 30.44/30.63 Changing weight limit from 30 to 29.
% 30.44/30.63
% 30.44/30.63 Resetting weight limit to 29 after 675 givens.
% 30.44/30.63
% 31.83/32.07
% 31.83/32.07
% 31.83/32.07 Changing weight limit from 29 to 13.
% 31.83/32.07
% 31.83/32.07 Resetting weight limit to 13 after 975 givens.
% 31.83/32.07
% 31.83/32.07
% 31.83/32.07
% 31.83/32.07 Changing weight limit from 13 to 10.
% 31.83/32.07
% 31.83/32.07 Resetting weight limit to 10 after 980 givens.
% 31.83/32.07
% 33.21/33.42
% 33.21/33.42
% 33.21/33.42 Changing weight limit from 10 to 9.
% 33.21/33.42
% 33.21/33.42 Resetting weight limit to 9 after 2320 givens.
% 33.21/33.42
% 33.44/33.66
% 33.44/33.66
% 33.44/33.66 Changing weight limit from 9 to 8.
% 33.44/33.66
% 33.44/33.66 Resetting weight limit to 8 after 2485 givens.
% 33.44/33.66
% 33.65/33.88
% 33.65/33.88
% 33.65/33.88 Changing weight limit from 8 to 5.
% 33.65/33.88
% 33.65/33.88 Resetting weight limit to 5 after 2655 givens.
% 33.65/33.88
% 34.62/34.83
% 34.62/34.83
% 34.62/34.83 Changing weight limit from 5 to 6.
% 34.62/34.83
% 34.62/34.83 Resetting weight limit to 6 after 4575 givens.
% 34.62/34.83
% 34.62/34.83
% 34.62/34.83
% 34.62/34.83 Changing weight limit from 6 to 7.
% 34.62/34.83
% 34.62/34.83 Resetting weight limit to 7 after 4580 givens.
% 34.62/34.83
% 34.62/34.83
% 34.62/34.83
% 34.62/34.83 Changing weight limit from 7 to 8.
% 34.62/34.83
% 34.62/34.83 Resetting weight limit to 8 after 4585 givens.
% 34.62/34.83
% 34.62/34.83
% 34.62/34.83
% 34.62/34.83 Changing weight limit from 8 to 9.
% 34.62/34.83
% 34.62/34.83 Resetting weight limit to 9 after 4590 givens.
% 34.62/34.83
% 34.62/34.84
% 34.62/34.84
% 34.62/34.84 Changing weight limit from 9 to 10.
% 34.62/34.84
% 34.62/34.84 Resetting weight limit to 10 after 4595 givens.
% 34.62/34.84
% 34.62/34.84
% 34.62/34.84
% 34.62/34.84 Changing weight limit from 10 to 11.
% 34.62/34.84
% 34.62/34.84 Resetting weight limit to 11 after 4600 givens.
% 34.62/34.84
% 34.62/34.84
% 34.62/34.84
% 34.62/34.84 Changing weight limit from 11 to 12.
% 34.62/34.84
% 34.62/34.84 Resetting weight limit to 12 after 4605 givens.
% 34.62/34.84
% 34.62/34.84
% 34.62/34.84
% 34.62/34.84 Changing weight limit from 12 to 13.
% 34.62/34.84
% 34.62/34.84 Resetting weight limit to 13 after 4610 givens.
% 34.62/34.84
% 34.62/34.85
% 34.62/34.85
% 34.62/34.85 Changing weight limit from 13 to 14.
% 34.62/34.85
% 34.62/34.85 Resetting weight limit to 14 after 4615 givens.
% 34.62/34.85
% 34.62/34.85
% 34.62/34.85
% 34.62/34.85 Changing weight limit from 14 to 15.
% 34.62/34.85
% 34.62/34.85 Resetting weight limit to 15 after 4620 givens.
% 34.62/34.85
% 34.62/34.85
% 34.62/34.85
% 34.62/34.85 Changing weight limit from 15 to 16.
% 34.62/34.85
% 34.62/34.85 Resetting weight limit to 16 after 4625 givens.
% 34.62/34.85
% 34.62/34.85
% 34.62/34.85
% 34.62/34.85 Changing weight limit from 16 to 17.
% 34.62/34.85
% 34.62/34.85 Resetting weight limit to 17 after 4630 givens.
% 34.62/34.85
% 34.62/34.86
% 34.62/34.86
% 34.62/34.86 Changing weight limit from 17 to 18.
% 34.62/34.86
% 34.62/34.86 Resetting weight limit to 18 after 4635 givens.
% 34.62/34.86
% 34.62/34.86
% 34.62/34.86
% 34.62/34.86 Changing weight limit from 18 to 19.
% 34.62/34.86
% 34.62/34.86 Resetting weight limit to 19 after 4640 givens.
% 34.62/34.86
% 34.62/34.86
% 34.62/34.86
% 34.62/34.86 Changing weight limit from 19 to 20.
% 34.62/34.86
% 34.62/34.86 Resetting weight limit to 20 after 4645 givens.
% 34.62/34.86
% 34.62/34.86
% 34.62/34.86
% 34.62/34.86 Changing weight limit from 20 to 21.
% 34.62/34.86
% 34.62/34.86 Resetting weight limit to 21 after 4650 givens.
% 34.62/34.86
% 34.62/34.87
% 34.62/34.87
% 34.62/34.87 Changing weight limit from 21 to 22.
% 34.62/34.87
% 34.62/34.87 Resetting weight limit to 22 after 4655 givens.
% 34.62/34.87
% 34.68/34.87
% 34.68/34.87
% 34.68/34.87 Changing weight limit from 22 to 23.
% 34.68/34.87
% 34.68/34.87 Resetting weight limit to 23 after 4660 givens.
% 34.68/34.87
% 34.68/34.87
% 34.68/34.87
% 34.68/34.87 Changing weight limit from 23 to 24.
% 34.68/34.87
% 34.68/34.87 Resetting weight limit to 24 after 4665 givens.
% 34.68/34.87
% 34.68/34.87
% 34.68/34.87
% 34.68/34.87 Changing weight limit from 24 to 25.
% 34.68/34.87
% 34.68/34.87 Resetting weight limit to 25 after 4670 givens.
% 34.68/34.87
% 34.68/34.88
% 34.68/34.88
% 34.68/34.88 Changing weight limit from 25 to 26.
% 34.68/34.88
% 34.68/34.88 Resetting weight limit to 26 after 4675 givens.
% 34.68/34.88
% 34.68/34.88
% 34.68/34.88
% 34.68/34.88 Changing weight limit from 26 to 27.
% 34.68/34.88
% 34.68/34.88 Resetting weight limit to 27 after 4680 givens.
% 34.68/34.88
% 34.68/34.88
% 34.68/34.88
% 34.68/34.88 Changing weight limit from 27 to 28.
% 34.68/34.88
% 34.68/34.88 Resetting weight limit to 28 after 4685 givens.
% 34.68/34.88
% 34.68/34.89
% 34.68/34.89
% 34.68/34.89 Changing weight limit from 28 to 29.
% 34.68/34.89
% 34.68/34.89 Resetting weight limit to 29 after 4690 givens.
% 34.68/34.89
% 34.68/34.89
% 34.68/34.89
% 34.68/34.89 Changing weight limit from 29 to 30.
% 34.68/34.89
% 34.68/34.89 Resetting weight limit to 30 after 4695 givens.
% 34.68/34.89
% 46.04/46.25
% 46.04/46.25
% 46.04/46.25 Changing weight limit from 30 to 11.
% 46.04/46.25
% 46.04/46.25 Resetting weight limit to 11 after 7765 givens.
% 46.04/46.25
% 46.04/46.29
% 46.04/46.29
% 46.04/46.29 Changing weight limit from 11 to 10.
% 46.04/46.29
% 46.04/46.29 Resetting weight limit to 10 after 7770 givens.
% 46.04/46.29
% 46.04/46.31
% 46.04/46.31
% 46.04/46.31 Changing weight limit from 10 to 9.
% 46.04/46.31
% 46.04/46.31 Resetting weight limit to 9 after 7775 givens.
% 46.04/46.31
% 52.23/52.42
% 52.23/52.42
% 52.23/52.42 Changing weight limit from 9 to 8.
% 52.23/52.42
% 52.23/52.42 Resetting weight limit to 8 after 10190 givens.
% 52.23/52.42
% 53.81/54.05
% 53.81/54.05
% 53.81/54.05 Changing weight limit from 8 to 7.
% 53.81/54.05
% 53.81/54.05 Resetting weight limit to 7 after 10675 givens.
% 53.81/54.05
% 53.88/54.07
% 53.88/54.07
% 53.88/54.07 Changing weight limit from 7 to 5.
% 53.88/54.07
% 53.88/54.07 Resetting weight limit to 5 after 10680 givens.
% 53.88/54.07
% 70.14/70.36
% 70.14/70.36 -- HEY sandbox2, WE HAVE A PROOF!! --
% 70.14/70.36
% 70.14/70.36 ----> UNIT CONFLICT at 68.44 sec ----> 190693 [binary,190692.1,113.1] {-} $F.
% 70.14/70.36
% 70.14/70.36 Length of proof is 287. Level of proof is 25.
% 70.14/70.36
% 70.14/70.36 ---------------- PROOF ----------------
% 70.14/70.36 % SZS status Theorem
% 70.14/70.36 % SZS output start Refutation
% 70.14/70.36
% 70.14/70.36 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 70.14/70.36 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 70.14/70.36 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 70.14/70.36 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 70.14/70.36 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 70.14/70.36 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 70.14/70.36 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 70.14/70.36 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 70.14/70.36 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 70.14/70.36 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 70.14/70.36 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 70.14/70.36 16 [] {+} -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 70.14/70.36 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 70.14/70.36 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 70.14/70.36 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 70.14/70.36 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 70.14/70.36 44 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -cyclic(A,B,C,F)| -eqangle(C,A,C,B,F,D,F,E)|cong(A,B,D,E).
% 70.14/70.36 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 70.14/70.36 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 70.14/70.36 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 70.14/70.36 58 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 70.14/70.36 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 70.14/70.36 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 70.14/70.36 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 70.14/70.36 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 70.14/70.36 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 70.14/70.36 99 [] {+} -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 70.14/70.36 113 [] {+} -para($c5,$c10,$c4,$c11).
% 70.14/70.36 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 70.14/70.36 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 70.14/70.36 123 [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).
% 70.14/70.36 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 70.14/70.36 159 [] {-} circle($c9,$c12,$c11,$c10).
% 70.14/70.36 161 [] {-} perp($c7,$c8,$c12,$c11).
% 70.14/70.36 162 [] {-} coll($c7,$c12,$c11).
% 70.14/70.36 163 [] {-} perp($c6,$c8,$c12,$c10).
% 70.14/70.36 164 [] {-} coll($c6,$c12,$c10).
% 70.14/70.36 166 [] {-} coll($c5,$c8,$c7).
% 70.14/70.36 168 [] {-} coll($c4,$c8,$c6).
% 70.14/70.36 170 [hyper,159,99] {-} perp($f12($c12,$c11,$c10,$c9),$c12,$c12,$c9).
% 70.14/70.36 187 [hyper,162,114] {-} coll($c11,$c11,$c7).
% 70.14/70.36 188 [hyper,162,2] {-} coll($c12,$c7,$c11).
% 70.14/70.36 189 [hyper,162,1] {-} coll($c7,$c11,$c12).
% 70.14/70.36 202 [hyper,164,114] {-} coll($c10,$c10,$c6).
% 70.14/70.36 203 [hyper,164,2] {-} coll($c12,$c6,$c10).
% 70.14/70.36 204 [hyper,164,1] {-} coll($c6,$c10,$c12).
% 70.14/70.36 217 [hyper,166,114] {-} coll($c7,$c7,$c5).
% 70.14/70.36 218 [hyper,166,2] {-} coll($c8,$c5,$c7).
% 70.14/70.36 219 [hyper,166,1] {-} coll($c5,$c7,$c8).
% 70.14/70.36 249 [hyper,168,114] {-} coll($c6,$c6,$c4).
% 70.14/70.36 250 [hyper,168,2] {-} coll($c8,$c4,$c6).
% 70.14/70.36 251 [hyper,168,1] {-} coll($c4,$c6,$c8).
% 70.14/70.36 264 [hyper,187,114] {-} coll($c7,$c7,$c11).
% 70.14/70.36 278 [hyper,188,114] {-} coll($c11,$c11,$c12).
% 70.14/70.36 279 [hyper,188,1] {-} coll($c12,$c11,$c7).
% 70.14/70.36 292 [hyper,189,114] {-} coll($c12,$c12,$c7).
% 70.14/70.36 306 [hyper,161,8] {-} perp($c12,$c11,$c7,$c8).
% 70.14/70.36 324 [hyper,202,114] {-} coll($c6,$c6,$c10).
% 70.14/70.36 338 [hyper,203,114] {-} coll($c10,$c10,$c12).
% 70.14/70.36 339 [hyper,203,1] {-} coll($c12,$c10,$c6).
% 70.14/70.36 352 [hyper,204,114] {-} coll($c12,$c12,$c6).
% 70.14/70.36 367 [hyper,217,1] {-} coll($c7,$c5,$c7).
% 70.14/70.36 380 [hyper,163,8] {-} perp($c12,$c10,$c6,$c8).
% 70.14/70.36 398 [hyper,218,114] {-} coll($c7,$c7,$c8).
% 70.14/70.36 412 [hyper,219,114] {-} coll($c8,$c8,$c5).
% 70.14/70.36 413 [hyper,219,2] {-} coll($c7,$c5,$c8).
% 70.14/70.36 440 [hyper,250,114] {-} coll($c6,$c6,$c8).
% 70.14/70.36 471 [hyper,251,114] {-} coll($c8,$c8,$c4).
% 70.14/70.36 486 [hyper,264,3,217] {-} coll($c11,$c5,$c7).
% 70.14/70.36 514 [hyper,278,114] {-} coll($c12,$c12,$c11).
% 70.14/70.36 515 [hyper,278,1] {-} coll($c11,$c12,$c11).
% 70.14/70.36 545 [hyper,279,114] {-} coll($c7,$c7,$c12).
% 70.14/70.36 559 [hyper,292,1] {-} coll($c12,$c7,$c12).
% 70.14/70.36 587 [hyper,324,1] {-} coll($c6,$c10,$c6).
% 70.14/70.36 600 [hyper,170,8] {-} perp($c12,$c9,$f12($c12,$c11,$c10,$c9),$c12).
% 70.14/70.36 648 [hyper,338,114] {-} coll($c12,$c12,$c10).
% 70.14/70.36 662 [hyper,339,114] {-} coll($c6,$c6,$c12).
% 70.14/70.36 676 [hyper,352,3,292] {-} coll($c7,$c6,$c12).
% 70.14/70.36 677 [hyper,352,3,292] {-} coll($c6,$c7,$c12).
% 70.14/70.36 817 [hyper,367,114] {-} coll($c7,$c7,$c7).
% 70.14/70.36 831 [hyper,398,114] {-} coll($c8,$c8,$c7).
% 70.14/70.36 832 [hyper,398,3,264] {-} coll($c11,$c8,$c7).
% 70.14/70.36 833 [hyper,398,3,264] {-} coll($c8,$c11,$c7).
% 70.14/70.36 834 [hyper,398,1] {-} coll($c7,$c8,$c7).
% 70.14/70.36 974 [hyper,413,3,367] {-} coll($c8,$c7,$c7).
% 70.14/70.36 1114 [hyper,440,114] {-} coll($c8,$c8,$c6).
% 70.14/70.36 1115 [hyper,440,3,324] {-} coll($c10,$c8,$c6).
% 70.14/70.36 1117 [hyper,440,1] {-} coll($c6,$c8,$c6).
% 70.14/70.36 1144 [hyper,471,3,412] {-} coll($c5,$c4,$c8).
% 70.14/70.36 1146 [hyper,471,1] {-} coll($c8,$c4,$c8).
% 70.14/70.36 1285 [hyper,486,1] {-} coll($c11,$c7,$c5).
% 70.14/70.36 1524 [hyper,545,3,398] {-} coll($c8,$c12,$c7).
% 70.14/70.36 1526 [hyper,545,3,398] {-} coll($c12,$c8,$c7).
% 70.14/70.36 1686 [hyper,587,3,204] {-} coll($c6,$c12,$c6).
% 70.14/70.36 1804 [hyper,648,3,514] {-} coll($c11,$c10,$c12).
% 70.14/70.36 1807 [hyper,648,3,292] {-} coll($c10,$c7,$c12).
% 70.14/70.36 1834 [hyper,662,3,249] {-} coll($c4,$c12,$c6).
% 70.14/70.36 1921 [hyper,676,1] {-} coll($c7,$c12,$c6).
% 70.14/70.36 1934 [hyper,677,1] {-} coll($c6,$c12,$c7).
% 70.14/70.36 2133 [hyper,831,3,471] {-} coll($c4,$c7,$c8).
% 70.14/70.36 2135 [hyper,831,1] {-} coll($c8,$c7,$c8).
% 70.14/70.36 2148 [hyper,832,1] {-} coll($c11,$c7,$c8).
% 70.14/70.36 2161 [hyper,833,1] {-} coll($c8,$c7,$c11).
% 70.14/70.36 2381 [hyper,1114,1] {-} coll($c8,$c6,$c8).
% 70.14/70.36 2434 [hyper,1115,1] {-} coll($c10,$c6,$c8).
% 70.14/70.36 2536 [hyper,1144,1] {-} coll($c5,$c8,$c4).
% 70.14/70.36 2562 [hyper,1146,3,250] {-} coll($c6,$c8,$c8).
% 70.14/70.36 2856 [hyper,1524,1] {-} coll($c8,$c7,$c12).
% 70.14/70.36 2882 [hyper,1526,1] {-} coll($c12,$c7,$c8).
% 70.14/70.36 3178 [hyper,1804,1] {-} coll($c11,$c12,$c10).
% 70.14/70.36 3265 [hyper,1807,1] {-} coll($c10,$c12,$c7).
% 70.14/70.36 3303 [hyper,1834,1] {-} coll($c4,$c6,$c12).
% 70.14/70.36 3390 [hyper,1921,114] {-} coll($c6,$c6,$c7).
% 70.14/70.36 3410 [hyper,1934,3,1686] {-} coll($c6,$c7,$c6).
% 70.14/70.36 3586 [hyper,2133,1] {-} coll($c4,$c8,$c7).
% 70.14/70.36 3666 [hyper,2148,3,1285] {-} coll($c5,$c8,$c11).
% 70.14/70.36 3688 [hyper,2161,3,2135] {-} coll($c11,$c8,$c8).
% 70.14/70.36 4536 [hyper,2856,114] {-} coll($c12,$c12,$c8).
% 70.14/70.36 4626 [hyper,2882,3,559] {-} coll($c12,$c8,$c12).
% 70.14/70.36 4628 [hyper,2882,3,559] {-} coll($c8,$c12,$c12).
% 70.14/70.36 4938 [hyper,3178,3,515] {-} coll($c11,$c10,$c11).
% 70.14/70.36 5033 [hyper,3265,114] {-} coll($c7,$c7,$c10).
% 70.14/70.36 5110 [hyper,3303,114] {-} coll($c12,$c12,$c4).
% 70.14/70.36 5114 [hyper,3303,3,251] {-} coll($c8,$c12,$c4).
% 70.14/70.36 5486 [hyper,3586,114] {-} coll($c7,$c7,$c4).
% 70.14/70.36 5611 [hyper,3666,3,2536] {-} coll($c11,$c4,$c5).
% 70.14/70.36 9632 [hyper,306,9,161] {-} para($c7,$c8,$c7,$c8).
% 70.14/70.36 9633 [hyper,306,9,161] {-} para($c12,$c11,$c12,$c11).
% 70.14/70.36 9634 [hyper,306,7] {-} perp($c12,$c11,$c8,$c7).
% 70.14/70.36 9857 [hyper,380,9,163] {-} para($c6,$c8,$c6,$c8).
% 70.14/70.36 9858 [hyper,380,9,163] {-} para($c12,$c10,$c12,$c10).
% 70.14/70.36 9859 [hyper,380,7] {-} perp($c12,$c10,$c8,$c6).
% 70.14/70.36 10014 [hyper,9632,40] {-} eqangle($c7,$c8,A,B,$c7,$c8,A,B).
% 70.14/70.36 10015 [hyper,9632,4] {-} para($c7,$c8,$c8,$c7).
% 70.14/70.36 10160 [hyper,9633,40] {-} eqangle($c12,$c11,A,B,$c12,$c11,A,B).
% 70.14/70.36 10169 [hyper,9634,8] {-} perp($c8,$c7,$c12,$c11).
% 70.14/70.36 10471 [hyper,9857,4] {-} para($c6,$c8,$c8,$c6).
% 70.14/70.36 10625 [hyper,9859,8] {-} perp($c8,$c6,$c12,$c10).
% 70.14/70.36 10927 [hyper,10015,5] {-} para($c8,$c7,$c7,$c8).
% 70.14/70.36 10936 [hyper,10169,9,9634] {-} para($c8,$c7,$c8,$c7).
% 70.14/70.36 11381 [hyper,10471,5] {-} para($c8,$c6,$c6,$c8).
% 70.14/70.36 11390 [hyper,10625,9,9859] {-} para($c8,$c6,$c8,$c6).
% 70.14/70.36 12284 [hyper,600,9,170] {-} para($c12,$c9,$c12,$c9).
% 70.14/70.36 12286 [hyper,12284,67] {-} coll($c12,$c9,$c9).
% 70.14/70.36 12289 [hyper,12286,114] {-} coll($c9,$c9,$c12).
% 70.14/70.36 12291 [hyper,12286,2] {-} coll($c9,$c12,$c9).
% 70.14/70.36 12298 [hyper,12289,114] {-} coll($c12,$c12,$c9).
% 70.14/70.36 12334 [hyper,12298,3,4536] {-} coll($c8,$c9,$c12).
% 70.14/70.36 12340 [hyper,12298,3,5110] {-} coll($c9,$c4,$c12).
% 70.14/70.36 12342 [hyper,12298,3,4536] {-} coll($c9,$c8,$c12).
% 70.14/70.36 12344 [hyper,12298,3,648] {-} coll($c9,$c10,$c12).
% 70.14/70.36 12347 [hyper,12298,3,292] {-} coll($c9,$c7,$c12).
% 70.14/70.36 12382 [hyper,12334,1] {-} coll($c8,$c12,$c9).
% 70.14/70.36 12431 [hyper,12340,1] {-} coll($c9,$c12,$c4).
% 70.14/70.36 12461 [hyper,12342,1] {-} coll($c9,$c12,$c8).
% 70.14/70.36 12527 [hyper,12344,1] {-} coll($c9,$c12,$c10).
% 70.14/70.36 12604 [hyper,12347,1] {-} coll($c9,$c12,$c7).
% 70.14/70.36 12678 [hyper,12382,3,5114] {-} coll($c9,$c4,$c8).
% 70.14/70.36 12847 [hyper,12461,3,12291] {-} coll($c9,$c8,$c9).
% 70.14/70.36 12849 [hyper,12461,3,12431] {-} coll($c8,$c4,$c9).
% 70.14/70.36 12936 [hyper,12527,54,159] {-} perp($c12,$c11,$c11,$c10).
% 70.14/70.36 13073 [hyper,12604,114] {-} coll($c7,$c7,$c9).
% 70.14/70.36 15524 [hyper,12936,9,161] {-} para($c7,$c8,$c11,$c10).
% 70.14/70.36 15526 [hyper,12936,7] {-} perp($c12,$c11,$c10,$c11).
% 70.14/70.36 16053 [hyper,15524,5] {-} para($c11,$c10,$c7,$c8).
% 70.14/70.36 16057 [hyper,15526,8] {-} perp($c10,$c11,$c12,$c11).
% 70.14/70.36 17278 [hyper,16057,9,15526] {-} para($c10,$c11,$c10,$c11).
% 70.14/70.36 21537 [hyper,10014,43,13073] {-} cyclic($c8,$c9,$c7,$c7).
% 70.14/70.36 21538 [hyper,10014,43,5486] {-} cyclic($c8,$c4,$c7,$c7).
% 70.14/70.36 21539 [hyper,10014,43,5033] {-} cyclic($c8,$c10,$c7,$c7).
% 70.14/70.36 21541 [hyper,10014,43,817] {-} cyclic($c8,$c7,$c7,$c7).
% 70.14/70.36 21542 [hyper,10014,43,545] {-} cyclic($c8,$c12,$c7,$c7).
% 70.14/70.36 21543 [hyper,10014,43,398] {-} cyclic($c8,$c8,$c7,$c7).
% 70.14/70.36 21544 [hyper,10014,43,264] {-} cyclic($c8,$c11,$c7,$c7).
% 70.14/70.36 21545 [hyper,10014,43,217] {-} cyclic($c8,$c5,$c7,$c7).
% 70.14/70.36 21550 [hyper,21537,15] {-} cyclic($c8,$c7,$c9,$c7).
% 70.14/70.36 21553 [hyper,21538,15] {-} cyclic($c8,$c7,$c4,$c7).
% 70.14/70.36 21556 [hyper,21539,15] {-} cyclic($c8,$c7,$c10,$c7).
% 70.14/70.36 21567 [hyper,21542,15] {-} cyclic($c8,$c7,$c12,$c7).
% 70.14/70.36 21568 [hyper,21543,15] {-} cyclic($c8,$c7,$c8,$c7).
% 70.14/70.36 21571 [hyper,21544,15] {-} cyclic($c8,$c7,$c11,$c7).
% 70.14/70.36 21577 [hyper,21545,15] {-} cyclic($c8,$c7,$c5,$c7).
% 70.14/70.36 21582 [hyper,21550,16] {-} cyclic($c7,$c8,$c9,$c7).
% 70.14/70.36 21583 [hyper,21550,14] {-} cyclic($c8,$c7,$c7,$c9).
% 70.14/70.36 21591 [hyper,21553,16] {-} cyclic($c7,$c8,$c4,$c7).
% 70.14/70.36 21592 [hyper,21553,14] {-} cyclic($c8,$c7,$c7,$c4).
% 70.14/70.36 21600 [hyper,21556,16] {-} cyclic($c7,$c8,$c10,$c7).
% 70.14/70.36 21601 [hyper,21556,14] {-} cyclic($c8,$c7,$c7,$c10).
% 70.14/70.36 21620 [hyper,21567,16] {-} cyclic($c7,$c8,$c12,$c7).
% 70.14/70.36 21621 [hyper,21567,14] {-} cyclic($c8,$c7,$c7,$c12).
% 70.14/70.36 21623 [hyper,21568,16] {-} cyclic($c7,$c8,$c8,$c7).
% 70.14/70.36 21624 [hyper,21568,14] {-} cyclic($c8,$c7,$c7,$c8).
% 70.14/70.36 21632 [hyper,21571,16] {-} cyclic($c7,$c8,$c11,$c7).
% 70.14/70.36 21633 [hyper,21571,14] {-} cyclic($c8,$c7,$c7,$c11).
% 70.14/70.36 21641 [hyper,21577,16] {-} cyclic($c7,$c8,$c5,$c7).
% 70.14/70.36 21642 [hyper,21577,14] {-} cyclic($c8,$c7,$c7,$c5).
% 70.14/70.36 21649 [hyper,21582,14] {-} cyclic($c7,$c8,$c7,$c9).
% 70.14/70.36 21662 [hyper,21591,14] {-} cyclic($c7,$c8,$c7,$c4).
% 70.14/70.36 21677 [hyper,21600,14] {-} cyclic($c7,$c8,$c7,$c10).
% 70.14/70.36 21718 [hyper,21620,14] {-} cyclic($c7,$c8,$c7,$c12).
% 70.14/70.36 21732 [hyper,21623,14] {-} cyclic($c7,$c8,$c7,$c8).
% 70.14/70.36 21733 [hyper,21624,123,21541,10014] {-} cong($c8,$c7,$c8,$c7).
% 70.14/70.36 21734 [hyper,21624,120] {-} cyclic($c7,$c7,$c8,$c8).
% 70.14/70.36 21744 [hyper,21624,17,21601] {-} cyclic($c7,$c7,$c8,$c10).
% 70.14/70.36 21745 [hyper,21624,17,21592] {-} cyclic($c7,$c7,$c8,$c4).
% 70.14/70.36 21746 [hyper,21624,17,21583] {-} cyclic($c7,$c7,$c8,$c9).
% 70.14/70.36 21756 [hyper,21632,14] {-} cyclic($c7,$c8,$c7,$c11).
% 70.14/70.36 21757 [hyper,21633,120] {-} cyclic($c7,$c7,$c11,$c11).
% 70.14/70.36 21759 [hyper,21633,17,21624] {-} cyclic($c7,$c7,$c8,$c11).
% 70.14/70.36 21766 [hyper,21633,17,21624] {-} cyclic($c7,$c7,$c11,$c8).
% 70.14/70.36 21767 [hyper,21633,17,21621] {-} cyclic($c7,$c7,$c11,$c12).
% 70.14/70.36 21771 [hyper,21633,17,21583] {-} cyclic($c7,$c7,$c11,$c9).
% 70.14/70.36 21781 [hyper,21641,14] {-} cyclic($c7,$c8,$c7,$c5).
% 70.14/70.36 21785 [hyper,21642,17,21624] {-} cyclic($c7,$c7,$c8,$c5).
% 70.14/70.36 21806 [hyper,21649,120] {-} cyclic($c8,$c7,$c9,$c9).
% 70.14/70.36 21823 [hyper,21662,120] {-} cyclic($c8,$c7,$c4,$c4).
% 70.14/70.36 21854 [hyper,21677,120] {-} cyclic($c8,$c7,$c10,$c10).
% 70.14/70.36 21989 [hyper,21718,120] {-} cyclic($c8,$c7,$c12,$c12).
% 70.14/70.36 22096 [hyper,21732,17,21718] {-} cyclic($c8,$c7,$c12,$c8).
% 70.14/70.36 22098 [hyper,21732,17,21677] {-} cyclic($c8,$c7,$c10,$c8).
% 70.14/70.36 22099 [hyper,21732,17,21662] {-} cyclic($c8,$c7,$c4,$c8).
% 70.14/70.36 22100 [hyper,21732,17,21649] {-} cyclic($c8,$c7,$c9,$c8).
% 70.14/70.36 22112 [hyper,21733,68,974] {-} midp($c8,$c7,$c7).
% 70.14/70.36 22117 [hyper,22112,129,9632] {-} midp($c8,$c8,$c8).
% 70.14/70.36 22120 [hyper,22112,46,10927,398] {-} midp($c7,$c7,$c8).
% 70.14/70.36 22123 [hyper,22117,129,11390] {-} midp($c8,$c6,$c6).
% 70.14/70.36 22127 [hyper,22117,69] {-} cong($c8,$c8,$c8,$c8).
% 70.14/70.36 22128 [hyper,22117,46,11390,1117] {-} midp($c6,$c8,$c6).
% 70.14/70.36 22129 [hyper,22117,46,10936,834] {-} midp($c7,$c8,$c7).
% 70.14/70.36 22143 [hyper,22120,69] {-} cong($c7,$c7,$c7,$c8).
% 70.14/70.36 22162 [hyper,22123,64,22112] {-} para($c7,$c6,$c7,$c6).
% 70.14/70.36 22164 [hyper,22123,46,11381,440] {-} midp($c6,$c6,$c8).
% 70.14/70.36 22183 [hyper,22128,69] {-} cong($c6,$c8,$c6,$c6).
% 70.14/70.36 22206 [hyper,22129,69] {-} cong($c7,$c8,$c7,$c7).
% 70.14/70.36 22232 [hyper,22164,69] {-} cong($c6,$c6,$c6,$c8).
% 70.14/70.36 22317 [hyper,21744,17,21734] {-} cyclic($c7,$c8,$c8,$c10).
% 70.14/70.36 22326 [hyper,21745,17,21734] {-} cyclic($c7,$c8,$c8,$c4).
% 70.14/70.36 22337 [hyper,21746,17,21734] {-} cyclic($c7,$c8,$c8,$c9).
% 70.14/70.36 22350 [hyper,21756,120] {-} cyclic($c8,$c7,$c11,$c11).
% 70.14/70.36 22358 [hyper,21756,17,21732] {-} cyclic($c8,$c7,$c11,$c8).
% 70.14/70.36 22378 [hyper,21759,17,21734] {-} cyclic($c7,$c8,$c8,$c11).
% 70.14/70.36 22469 [hyper,21766,120] {-} cyclic($c7,$c11,$c8,$c8).
% 70.14/70.36 22471 [hyper,21766,17,21757] {-} cyclic($c7,$c11,$c11,$c8).
% 70.14/70.36 22472 [hyper,21766,17,21757] {-} cyclic($c7,$c11,$c8,$c11).
% 70.14/70.36 22478 [hyper,21767,17,21766] {-} cyclic($c7,$c11,$c8,$c12).
% 70.14/70.36 22523 [hyper,21771,120] {-} cyclic($c7,$c11,$c9,$c9).
% 70.14/70.36 22530 [hyper,21771,17,21757] {-} cyclic($c7,$c11,$c11,$c9).
% 70.14/70.36 22535 [hyper,21771,17,21767] {-} cyclic($c7,$c11,$c9,$c12).
% 70.14/70.36 22537 [hyper,21771,17,21757] {-} cyclic($c7,$c11,$c9,$c11).
% 70.14/70.36 22546 [hyper,21781,120] {-} cyclic($c8,$c7,$c5,$c5).
% 70.14/70.36 22556 [hyper,21781,17,21732] {-} cyclic($c8,$c7,$c5,$c8).
% 70.14/70.36 22592 [hyper,21785,17,21734] {-} cyclic($c7,$c8,$c8,$c5).
% 70.14/70.36 22788 [hyper,21806,15] {-} cyclic($c8,$c9,$c7,$c9).
% 70.14/70.36 22807 [hyper,21823,15] {-} cyclic($c8,$c4,$c7,$c4).
% 70.14/70.36 22894 [hyper,21854,15] {-} cyclic($c8,$c10,$c7,$c10).
% 70.14/70.36 23671 [hyper,21989,15] {-} cyclic($c8,$c12,$c7,$c12).
% 70.14/70.36 24801 [hyper,22096,15] {-} cyclic($c8,$c12,$c7,$c8).
% 70.14/70.36 24825 [hyper,22098,15] {-} cyclic($c8,$c10,$c7,$c8).
% 70.14/70.36 24827 [hyper,22099,15] {-} cyclic($c8,$c4,$c7,$c8).
% 70.14/70.36 24829 [hyper,22100,15] {-} cyclic($c8,$c9,$c7,$c8).
% 70.14/70.36 26360 [hyper,22162,4] {-} para($c7,$c6,$c6,$c7).
% 70.14/70.36 26563 [hyper,22206,25,22143] {-} cong($c7,$c7,$c7,$c7).
% 70.14/70.36 26741 [hyper,22232,25,22183] {-} cong($c6,$c8,$c6,$c8).
% 70.14/70.36 27856 [hyper,22326,17,22317] {-} cyclic($c8,$c8,$c10,$c4).
% 70.14/70.36 28014 [hyper,22337,17,22326] {-} cyclic($c8,$c8,$c4,$c9).
% 70.14/70.36 28113 [hyper,22350,15] {-} cyclic($c8,$c11,$c7,$c11).
% 70.14/70.36 28149 [hyper,22358,15] {-} cyclic($c8,$c11,$c7,$c8).
% 70.14/70.36 28632 [hyper,10160,43,12298] {-} cyclic($c11,$c9,$c12,$c12).
% 70.14/70.36 28635 [hyper,10160,43,4536] {-} cyclic($c11,$c8,$c12,$c12).
% 70.14/70.36 29388 [hyper,22478,17,22472] {-} cyclic($c11,$c8,$c12,$c11).
% 70.14/70.36 29389 [hyper,22478,17,22469] {-} cyclic($c11,$c8,$c12,$c8).
% 70.14/70.36 29861 [hyper,22530,17,22471] {-} cyclic($c11,$c11,$c9,$c8).
% 70.14/70.36 29895 [hyper,22535,17,22523] {-} cyclic($c11,$c9,$c12,$c9).
% 70.14/70.36 29909 [hyper,22537,17,22535] {-} cyclic($c11,$c9,$c12,$c11).
% 70.14/70.36 29936 [hyper,22546,15] {-} cyclic($c8,$c5,$c7,$c5).
% 70.14/70.36 29945 [hyper,22556,15] {-} cyclic($c8,$c5,$c7,$c8).
% 70.14/70.36 30275 [hyper,22592,17,22378] {-} cyclic($c8,$c8,$c11,$c5).
% 70.14/70.36 32209 [hyper,24801,44,23671,21542,10014] {-} cong($c8,$c12,$c8,$c12).
% 70.14/70.36 32210 [hyper,24825,44,22894,21539,10014] {-} cong($c8,$c10,$c8,$c10).
% 70.14/70.36 32211 [hyper,24827,44,22807,21538,10014] {-} cong($c8,$c4,$c8,$c4).
% 70.14/70.36 32212 [hyper,24829,44,22788,21537,10014] {-} cong($c8,$c9,$c8,$c9).
% 70.14/70.36 32282 [hyper,26563,68,817] {-} midp($c7,$c7,$c7).
% 70.14/70.36 32285 [hyper,32282,129,22162] {-} midp($c7,$c6,$c6).
% 70.14/70.36 32289 [hyper,32282,46,22162,3410] {-} midp($c6,$c7,$c6).
% 70.14/70.36 32296 [hyper,32285,46,26360,3390] {-} midp($c6,$c6,$c7).
% 70.14/70.36 32314 [hyper,26741,68,2562] {-} midp($c6,$c8,$c8).
% 70.14/70.36 32317 [hyper,32314,129,11390] {-} midp($c6,$c6,$c6).
% 70.14/70.36 32322 [hyper,32314,64,32296] {-} para($c8,$c6,$c8,$c7).
% 70.14/70.36 32323 [hyper,32314,64,32289] {-} para($c8,$c7,$c8,$c6).
% 70.14/70.36 32345 [hyper,32317,46,9857,2381] {-} midp($c8,$c6,$c8).
% 70.14/70.36 33296 [hyper,28149,44,28113,21544,10014] {-} cong($c8,$c11,$c8,$c11).
% 70.14/70.36 42555 [hyper,29389,44,29388,28635,10160] {-} cong($c11,$c8,$c11,$c8).
% 70.14/70.36 46598 [hyper,29909,44,29895,28632,10160] {-} cong($c11,$c9,$c11,$c9).
% 70.14/70.36 46943 [hyper,29945,44,29936,21545,10014] {-} cong($c8,$c5,$c8,$c5).
% 70.14/70.36 61161 [hyper,32209,68,4628] {-} midp($c8,$c12,$c12).
% 70.14/70.36 61396 [hyper,61161,64,32345] {-} para($c6,$c12,$c8,$c12).
% 70.14/70.36 62197 [hyper,32210,57,22127] {-} perp($c8,$c8,$c10,$c8).
% 70.14/70.36 63223 [hyper,32211,58,32210,27856] {-} perp($c10,$c8,$c8,$c4).
% 70.14/70.36 63240 [hyper,32211,57,22127] {-} perp($c8,$c8,$c4,$c8).
% 70.14/70.36 63688 [hyper,32212,58,32211,28014] {-} perp($c4,$c8,$c8,$c9).
% 70.14/70.36 67849 [hyper,42555,68,3688] {-} midp($c11,$c8,$c8).
% 70.14/70.36 67959 [hyper,67849,65,32322,32323] {-} midp($c11,$c6,$c7).
% 70.14/70.36 68581 [hyper,67959,46,16053,2434] {-} midp($c10,$c6,$c8).
% 70.14/70.36 74759 [hyper,46598,58,42555,29861] {-} perp($c9,$c11,$c11,$c8).
% 70.14/70.36 74815 [hyper,46943,58,33296,30275] {-} perp($c11,$c8,$c8,$c5).
% 70.14/70.36 77520 [hyper,61396,129,68581] {-} midp($c10,$c12,$c12).
% 70.14/70.36 77534 [hyper,61396,46,32314,4626] {-} midp($c12,$c8,$c12).
% 70.14/70.36 77543 [hyper,77520,129,9858] {-} midp($c10,$c10,$c10).
% 70.14/70.36 78566 [hyper,77534,46,12284,12847] {-} midp($c9,$c8,$c9).
% 70.14/70.36 79189 [hyper,77543,46,17278,4938] {-} midp($c11,$c10,$c11).
% 70.14/70.36 82933 [hyper,78566,11] {-} midp($c9,$c9,$c8).
% 70.14/70.36 88937 [hyper,82933,64,78566] {-} para($c8,$c9,$c9,$c8).
% 70.14/70.36 128478 [hyper,63223,9,62197] {-} para($c8,$c8,$c8,$c4).
% 70.14/70.36 139735 [hyper,63688,9,63240] {-} para($c8,$c8,$c8,$c9).
% 70.14/70.36 152663 [hyper,74815,9,74759] {-} para($c9,$c11,$c8,$c5).
% 70.14/70.36 157385 [hyper,128478,46,22117,471] {-} midp($c8,$c8,$c4).
% 70.14/70.36 157675 [hyper,157385,11] {-} midp($c8,$c4,$c8).
% 70.14/70.36 166613 [hyper,139735,46,157675,12849] {-} midp($c8,$c4,$c9).
% 70.14/70.36 166721 [hyper,166613,46,88937,12678] {-} midp($c9,$c4,$c8).
% 70.14/70.36 187744 [hyper,152663,46,166721,5611] {-} midp($c11,$c4,$c5).
% 70.14/70.36 188235 [hyper,187744,11] {-} midp($c11,$c5,$c4).
% 70.14/70.36 190692 [hyper,188235,64,79189] {-} para($c5,$c10,$c4,$c11).
% 70.14/70.36 190693 [binary,190692.1,113.1] {-} $F.
% 70.14/70.36
% 70.14/70.36 % SZS output end Refutation
% 70.14/70.36 ------------ end of proof -------------
% 70.14/70.36
% 70.14/70.36
% 70.14/70.36 Search stopped by max_proofs option.
% 70.14/70.36
% 70.14/70.36
% 70.14/70.36 Search stopped by max_proofs option.
% 70.14/70.36
% 70.14/70.36 ============ end of search ============
% 70.14/70.36
% 70.14/70.36 That finishes the proof of the theorem.
% 70.14/70.36
% 70.14/70.36 Process 10389 finished Sat Jun 18 10:20:29 2022
%------------------------------------------------------------------------------