TSTP Solution File: GEO543+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO543+1 : TPTP v8.1.0. Released v7.5.0.
% 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 : Sat Jul 16 06:20:49 EDT 2022
% Result : Theorem 131.67s 131.88s
% Output : Refutation 131.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO543+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.14 % Command : sos-script %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Fri Jun 17 18:03:37 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.40 ----- Otter 3.2, August 2001 -----
% 0.22/0.40 The process was started by sandbox on n011.cluster.edu,
% 0.22/0.40 Fri Jun 17 18:03:37 2022
% 0.22/0.40 The command was "./sos". The process ID is 29338.
% 0.22/0.40
% 0.22/0.40 set(prolog_style_variables).
% 0.22/0.40 set(auto).
% 0.22/0.40 dependent: set(auto1).
% 0.22/0.40 dependent: set(process_input).
% 0.22/0.40 dependent: clear(print_kept).
% 0.22/0.40 dependent: clear(print_new_demod).
% 0.22/0.40 dependent: clear(print_back_demod).
% 0.22/0.40 dependent: clear(print_back_sub).
% 0.22/0.40 dependent: set(control_memory).
% 0.22/0.40 dependent: assign(max_mem, 12000).
% 0.22/0.40 dependent: assign(pick_given_ratio, 4).
% 0.22/0.40 dependent: assign(stats_level, 1).
% 0.22/0.40 dependent: assign(pick_semantic_ratio, 3).
% 0.22/0.40 dependent: assign(sos_limit, 5000).
% 0.22/0.40 dependent: assign(max_weight, 60).
% 0.22/0.40 clear(print_given).
% 0.22/0.40
% 0.22/0.40 formula_list(usable).
% 0.22/0.40
% 0.22/0.40 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.22/0.40
% 0.22/0.40 This ia a non-Horn set with equality. The strategy will be
% 0.22/0.40 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.22/0.40 unit deletion, with positive clauses in sos and nonpositive
% 0.22/0.40 clauses in usable.
% 0.22/0.40
% 0.22/0.40 dependent: set(knuth_bendix).
% 0.22/0.40 dependent: set(para_from).
% 0.22/0.40 dependent: set(para_into).
% 0.22/0.40 dependent: clear(para_from_right).
% 0.22/0.40 dependent: clear(para_into_right).
% 0.22/0.40 dependent: set(para_from_vars).
% 0.22/0.40 dependent: set(eq_units_both_ways).
% 0.22/0.40 dependent: set(dynamic_demod_all).
% 0.22/0.40 dependent: set(dynamic_demod).
% 0.22/0.40 dependent: set(order_eq).
% 0.22/0.40 dependent: set(back_demod).
% 0.22/0.40 dependent: set(lrpo).
% 0.22/0.40 dependent: set(hyper_res).
% 0.22/0.40 dependent: set(unit_deletion).
% 0.22/0.40 dependent: set(factor).
% 0.22/0.40
% 0.22/0.40 ------------> process usable:
% 0.22/0.40 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).
% 0.22/0.40
% 0.22/0.40 ------------> process sos:
% 0.22/0.40 Following clause subsumed by 170 during input processing: 0 [copy,170,flip.1] {-} A=A.
% 0.22/0.40 170 back subsumes 146.
% 0.22/0.40 170 back subsumes 145.
% 0.22/0.40 170 back subsumes 144.
% 0.22/0.40 170 back subsumes 143.
% 0.22/0.40
% 0.22/0.40 ======= end of input processing =======
% 0.22/0.47
% 0.22/0.47
% 0.22/0.47 Failed to model usable list: disabling FINDER
% 0.22/0.47
% 0.22/0.47
% 0.22/0.47
% 0.22/0.47 -------------- Softie stats --------------
% 0.22/0.47
% 0.22/0.47 UPDATE_STOP: 300
% 0.22/0.47 SFINDER_TIME_LIMIT: 2
% 0.22/0.47 SHORT_CLAUSE_CUTOFF: 4
% 0.22/0.47 number of clauses in intial UL: 154
% 0.22/0.47 number of clauses initially in problem: 166
% 0.22/0.47 percentage of clauses intially in UL: 92
% 0.22/0.47 percentage of distinct symbols occuring in initial UL: 85
% 0.22/0.47 percent of all initial clauses that are short: 100
% 0.22/0.47 absolute distinct symbol count: 42
% 0.22/0.47 distinct predicate count: 12
% 0.22/0.47 distinct function count: 20
% 0.22/0.47 distinct constant count: 10
% 0.22/0.47
% 0.22/0.47 ---------- no more Softie stats ----------
% 0.22/0.47
% 0.22/0.47
% 0.22/0.47
% 0.22/0.47 =========== start of search ===========
% 7.21/7.39
% 7.21/7.39
% 7.21/7.39 Changing weight limit from 60 to 57.
% 7.21/7.39
% 7.21/7.39 Resetting weight limit to 57 after 235 givens.
% 7.21/7.39
% 7.88/8.08
% 7.88/8.08
% 7.88/8.08 Changing weight limit from 57 to 56.
% 7.88/8.08
% 7.88/8.08 Resetting weight limit to 56 after 240 givens.
% 7.88/8.08
% 11.06/11.29
% 11.06/11.29
% 11.06/11.29 Changing weight limit from 56 to 55.
% 11.06/11.29
% 11.06/11.29 Resetting weight limit to 55 after 255 givens.
% 11.06/11.29
% 14.15/14.34
% 14.15/14.34
% 14.15/14.34 Changing weight limit from 55 to 54.
% 14.15/14.34
% 14.15/14.34 Resetting weight limit to 54 after 285 givens.
% 14.15/14.34
% 14.76/15.01
% 14.76/15.01
% 14.76/15.01 Changing weight limit from 54 to 52.
% 14.76/15.01
% 14.76/15.01 Resetting weight limit to 52 after 295 givens.
% 14.76/15.01
% 16.80/17.02
% 16.80/17.02
% 16.80/17.02 Changing weight limit from 52 to 51.
% 16.80/17.02
% 16.80/17.02 Modelling stopped after 300 given clauses and 0.00 seconds
% 16.80/17.02
% 16.80/17.02
% 16.80/17.02 Resetting weight limit to 51 after 315 givens.
% 16.80/17.02
% 21.76/21.95
% 21.76/21.95
% 21.76/21.95 Changing weight limit from 51 to 50.
% 21.76/21.95
% 21.76/21.95 Resetting weight limit to 50 after 370 givens.
% 21.76/21.95
% 25.35/25.57
% 25.35/25.57
% 25.35/25.57 Changing weight limit from 50 to 49.
% 25.35/25.57
% 25.35/25.57 Resetting weight limit to 49 after 420 givens.
% 25.35/25.57
% 26.70/26.92
% 26.70/26.92
% 26.70/26.92 Changing weight limit from 49 to 46.
% 26.70/26.92
% 26.70/26.92 Resetting weight limit to 46 after 435 givens.
% 26.70/26.92
% 27.96/28.18
% 27.96/28.18
% 27.96/28.18 Changing weight limit from 46 to 45.
% 27.96/28.18
% 27.96/28.18 Resetting weight limit to 45 after 450 givens.
% 27.96/28.18
% 28.42/28.61
% 28.42/28.61
% 28.42/28.61 Changing weight limit from 45 to 31.
% 28.42/28.61
% 28.42/28.61 Resetting weight limit to 31 after 455 givens.
% 28.42/28.61
% 28.56/28.75
% 28.56/28.75
% 28.56/28.75 Changing weight limit from 31 to 30.
% 28.56/28.75
% 28.56/28.75 Resetting weight limit to 30 after 460 givens.
% 28.56/28.75
% 35.95/36.14
% 35.95/36.14
% 35.95/36.14 Changing weight limit from 30 to 29.
% 35.95/36.14
% 35.95/36.14 Resetting weight limit to 29 after 745 givens.
% 35.95/36.14
% 38.72/38.95
% 38.72/38.95
% 38.72/38.95 Changing weight limit from 29 to 23.
% 38.72/38.95
% 38.72/38.95 Resetting weight limit to 23 after 1275 givens.
% 38.72/38.95
% 38.96/39.17
% 38.96/39.17
% 38.96/39.17 Changing weight limit from 23 to 15.
% 38.96/39.17
% 38.96/39.17 Resetting weight limit to 15 after 1280 givens.
% 38.96/39.17
% 39.02/39.25
% 39.02/39.25
% 39.02/39.25 Changing weight limit from 15 to 10.
% 39.02/39.25
% 39.02/39.25 Resetting weight limit to 10 after 1285 givens.
% 39.02/39.25
% 40.96/41.21
% 40.96/41.21
% 40.96/41.21 Changing weight limit from 10 to 9.
% 40.96/41.21
% 40.96/41.21 Resetting weight limit to 9 after 1585 givens.
% 40.96/41.21
% 46.96/47.13
% 46.96/47.13
% 46.96/47.13 Changing weight limit from 9 to 8.
% 46.96/47.13
% 46.96/47.13 Resetting weight limit to 8 after 3900 givens.
% 46.96/47.13
% 53.06/53.28
% 53.06/53.28
% 53.06/53.28 Changing weight limit from 8 to 5.
% 53.06/53.28
% 53.06/53.28 Resetting weight limit to 5 after 5075 givens.
% 53.06/53.28
% 119.64/119.89
% 119.64/119.89
% 119.64/119.89 Changing weight limit from 5 to 6.
% 119.64/119.89
% 119.64/119.89 Resetting weight limit to 6 after 27040 givens.
% 119.64/119.89
% 119.64/119.89
% 119.64/119.89
% 119.64/119.89 Changing weight limit from 6 to 7.
% 119.64/119.89
% 119.64/119.89 Resetting weight limit to 7 after 27045 givens.
% 119.64/119.89
% 119.70/119.90
% 119.70/119.90
% 119.70/119.90 Changing weight limit from 7 to 8.
% 119.70/119.90
% 119.70/119.90 Resetting weight limit to 8 after 27050 givens.
% 119.70/119.90
% 119.70/119.91
% 119.70/119.91
% 119.70/119.91 Changing weight limit from 8 to 9.
% 119.70/119.91
% 119.70/119.91 Resetting weight limit to 9 after 27055 givens.
% 119.70/119.91
% 131.67/131.88
% 131.67/131.88 -- HEY sandbox, WE HAVE A PROOF!! --
% 131.67/131.88
% 131.67/131.88 ----> UNIT CONFLICT at 127.15 sec ----> 272712 [binary,272711.1,113.1] {-} $F.
% 131.67/131.88
% 131.67/131.88 Length of proof is 402. Level of proof is 23.
% 131.67/131.88
% 131.67/131.88 ---------------- PROOF ----------------
% 131.67/131.88 % SZS status Theorem
% 131.67/131.88 % SZS output start Refutation
% 131.67/131.88
% 131.67/131.88 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 131.67/131.88 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 131.67/131.88 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 131.67/131.88 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 131.67/131.88 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 131.67/131.88 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 131.67/131.88 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 131.67/131.88 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 131.67/131.88 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 131.67/131.88 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 131.67/131.88 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 131.67/131.88 12 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|circle(A,B,C,D).
% 131.67/131.88 13 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)| -cong(A,B,A,E)|cyclic(B,C,D,E).
% 131.67/131.88 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 131.67/131.88 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 131.67/131.88 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 131.67/131.88 23 [] {+} -cong(A,B,C,D)|cong(A,B,D,C).
% 131.67/131.88 24 [] {+} -cong(A,B,C,D)|cong(C,D,A,B).
% 131.67/131.88 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 131.67/131.88 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 131.67/131.88 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 131.67/131.88 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).
% 131.67/131.88 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 131.67/131.88 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 131.67/131.88 53 [] {+} -perp(A,B,B,C)| -midp(D,A,C)|cong(A,D,B,D).
% 131.67/131.88 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 131.67/131.88 56 [] {+} -midp(A,B,C)| -perp(D,A,B,C)|cong(D,B,D,C).
% 131.67/131.88 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 131.67/131.88 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 131.67/131.88 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 131.67/131.88 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 131.67/131.88 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 131.67/131.88 70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 131.67/131.88 86 [] {+} -midp(A,B,C)| -midp(D,E,F)|midp($f6(B,C,E,F,A,D),B,F).
% 131.67/131.88 113 [] {+} -cyclic($c2,$c1,$c4,$c7).
% 131.67/131.88 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 131.67/131.88 116 [factor,12.1.2] {+} -cong(A,B,A,C)|circle(A,B,C,C).
% 131.67/131.88 117 [factor,13.1.2] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,C,D).
% 131.67/131.88 123 [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).
% 131.67/131.88 124 [factor,45.1.2] {+} -midp(A,B,C)|para(A,A,C,C).
% 131.67/131.88 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 131.67/131.88 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 131.67/131.88 154 [factor,117.1.2] {+} -cong(A,B,A,C)|cyclic(B,C,C,C).
% 131.67/131.88 159 [] {-} perp($c7,$c10,$c9,$c8).
% 131.67/131.88 160 [] {-} coll($c7,$c9,$c8).
% 131.67/131.88 161 [] {-} perp($c6,$c9,$c10,$c8).
% 131.67/131.88 162 [] {-} coll($c6,$c10,$c8).
% 131.67/131.88 163 [] {-} perp($c5,$c8,$c10,$c9).
% 131.67/131.88 164 [] {-} coll($c5,$c10,$c9).
% 131.67/131.88 165 [] {-} coll($c4,$c9,$c6).
% 131.67/131.88 166 [] {-} coll($c4,$c8,$c5).
% 131.67/131.88 167 [] {-} midp($c3,$c8,$c9).
% 131.67/131.88 168 [] {-} midp($c2,$c6,$c9).
% 131.67/131.88 169 [] {-} midp($c1,$c5,$c8).
% 131.67/131.88 171 [hyper,159,8] {-} perp($c9,$c8,$c7,$c10).
% 131.67/131.88 172 [hyper,159,7] {-} perp($c7,$c10,$c8,$c9).
% 131.67/131.88 189 [hyper,160,114] {-} coll($c8,$c8,$c7).
% 131.67/131.88 190 [hyper,160,2] {-} coll($c9,$c7,$c8).
% 131.67/131.88 191 [hyper,160,1] {-} coll($c7,$c8,$c9).
% 131.67/131.88 204 [hyper,162,114] {-} coll($c8,$c8,$c6).
% 131.67/131.88 205 [hyper,162,2] {-} coll($c10,$c6,$c8).
% 131.67/131.88 219 [hyper,164,114] {-} coll($c9,$c9,$c5).
% 131.67/131.88 220 [hyper,164,2] {-} coll($c10,$c5,$c9).
% 131.67/131.88 234 [hyper,161,8] {-} perp($c10,$c8,$c6,$c9).
% 131.67/131.88 235 [hyper,161,7] {-} perp($c6,$c9,$c8,$c10).
% 131.67/131.88 253 [hyper,165,2] {-} coll($c9,$c4,$c6).
% 131.67/131.88 267 [hyper,166,114] {-} coll($c5,$c5,$c4).
% 131.67/131.88 268 [hyper,166,2] {-} coll($c8,$c4,$c5).
% 131.67/131.88 269 [hyper,166,1] {-} coll($c4,$c5,$c8).
% 131.67/131.88 287 [hyper,167,124] {-} para($c3,$c3,$c9,$c9).
% 131.67/131.88 288 [hyper,167,70] {-} coll($c3,$c8,$c9).
% 131.67/131.88 289 [hyper,167,69] {-} cong($c3,$c8,$c3,$c9).
% 131.67/131.88 290 [hyper,167,11] {-} midp($c3,$c9,$c8).
% 131.67/131.88 317 [hyper,168,70] {-} coll($c2,$c6,$c9).
% 131.67/131.88 318 [hyper,168,69] {-} cong($c2,$c6,$c2,$c9).
% 131.67/131.88 319 [hyper,168,11] {-} midp($c2,$c9,$c6).
% 131.67/131.88 332 [hyper,163,8] {-} perp($c10,$c9,$c5,$c8).
% 131.67/131.88 333 [hyper,163,7] {-} perp($c5,$c8,$c9,$c10).
% 131.67/131.88 355 [hyper,169,124] {-} para($c1,$c1,$c8,$c8).
% 131.67/131.88 365 [hyper,169,86,167] {-} midp($f6($c8,$c9,$c5,$c8,$c3,$c1),$c8,$c8).
% 131.67/131.88 372 [hyper,169,70] {-} coll($c1,$c5,$c8).
% 131.67/131.88 373 [hyper,169,69] {-} cong($c1,$c5,$c1,$c8).
% 131.67/131.88 374 [hyper,169,11] {-} midp($c1,$c8,$c5).
% 131.67/131.88 388 [hyper,189,1] {-} coll($c8,$c7,$c8).
% 131.67/131.88 401 [hyper,190,114] {-} coll($c8,$c8,$c9).
% 131.67/131.88 402 [hyper,190,1] {-} coll($c9,$c8,$c7).
% 131.67/131.88 415 [hyper,191,114] {-} coll($c9,$c9,$c7).
% 131.67/131.88 430 [hyper,171,9,159] {-} para($c9,$c8,$c9,$c8).
% 131.67/131.88 431 [hyper,171,7] {-} perp($c9,$c8,$c10,$c7).
% 131.67/131.88 448 [hyper,204,114] {-} coll($c6,$c6,$c8).
% 131.67/131.88 450 [hyper,204,3,189] {-} coll($c6,$c7,$c8).
% 131.67/131.88 464 [hyper,205,114] {-} coll($c8,$c8,$c10).
% 131.67/131.88 492 [hyper,219,114] {-} coll($c5,$c5,$c9).
% 131.67/131.88 493 [hyper,219,1] {-} coll($c9,$c5,$c9).
% 131.67/131.88 507 [hyper,172,8] {-} perp($c8,$c9,$c7,$c10).
% 131.67/131.88 524 [hyper,220,114] {-} coll($c9,$c9,$c10).
% 131.67/131.88 525 [hyper,220,1] {-} coll($c10,$c9,$c5).
% 131.67/131.88 566 [hyper,253,114] {-} coll($c6,$c6,$c9).
% 131.67/131.88 708 [hyper,268,114] {-} coll($c5,$c5,$c8).
% 131.67/131.88 722 [hyper,269,114] {-} coll($c8,$c8,$c4).
% 131.67/131.88 836 [hyper,288,114] {-} coll($c9,$c9,$c3).
% 131.67/131.88 837 [hyper,288,2] {-} coll($c8,$c3,$c9).
% 131.67/131.88 838 [hyper,288,1] {-} coll($c3,$c9,$c8).
% 131.67/131.88 881 [hyper,290,69] {-} cong($c3,$c9,$c3,$c8).
% 131.67/131.88 895 [hyper,317,114] {-} coll($c9,$c9,$c2).
% 131.67/131.88 896 [hyper,317,2] {-} coll($c6,$c2,$c9).
% 131.67/131.88 897 [hyper,317,1] {-} coll($c2,$c9,$c6).
% 131.67/131.88 948 [hyper,319,69] {-} cong($c2,$c9,$c2,$c6).
% 131.67/131.88 949 [hyper,319,64,168] {-} para($c6,$c9,$c9,$c6).
% 131.67/131.88 950 [hyper,319,64,168] {-} para($c9,$c6,$c6,$c9).
% 131.67/131.88 951 [hyper,319,45,290] {-} para($c3,$c2,$c8,$c6).
% 131.67/131.88 952 [hyper,319,45,290] {-} para($c2,$c3,$c6,$c8).
% 131.67/131.88 1065 [hyper,372,114] {-} coll($c8,$c8,$c1).
% 131.67/131.88 1066 [hyper,372,2] {-} coll($c5,$c1,$c8).
% 131.67/131.88 1067 [hyper,372,1] {-} coll($c1,$c8,$c5).
% 131.67/131.88 1084 [hyper,374,128] {-} para($c8,$c8,$c5,$c5).
% 131.67/131.88 1126 [hyper,374,69] {-} cong($c1,$c8,$c1,$c5).
% 131.67/131.88 1127 [hyper,374,64,169] {-} para($c5,$c8,$c8,$c5).
% 131.67/131.88 1128 [hyper,374,64,169] {-} para($c8,$c5,$c5,$c8).
% 131.67/131.88 1129 [hyper,374,45,167] {-} para($c3,$c1,$c9,$c5).
% 131.67/131.88 1130 [hyper,374,45,167] {-} para($c1,$c3,$c5,$c9).
% 131.67/131.88 1156 [hyper,388,114] {-} coll($c8,$c8,$c8).
% 131.67/131.88 1270 [hyper,401,114] {-} coll($c9,$c9,$c8).
% 131.67/131.88 1271 [hyper,401,3,204] {-} coll($c6,$c9,$c8).
% 131.67/131.88 1273 [hyper,401,1] {-} coll($c8,$c9,$c8).
% 131.67/131.88 1287 [hyper,402,2] {-} coll($c8,$c9,$c7).
% 131.67/131.88 1301 [hyper,415,3,219] {-} coll($c7,$c5,$c9).
% 131.67/131.88 1302 [hyper,415,1] {-} coll($c9,$c7,$c9).
% 131.67/131.88 1436 [hyper,450,1] {-} coll($c6,$c8,$c7).
% 131.67/131.88 1542 [hyper,464,114] {-} coll($c10,$c10,$c8).
% 131.67/131.88 1545 [hyper,464,3,401] {-} coll($c10,$c9,$c8).
% 131.67/131.88 1681 [hyper,492,3,267] {-} coll($c9,$c4,$c5).
% 131.67/131.88 1695 [hyper,493,114] {-} coll($c9,$c9,$c9).
% 131.67/131.88 1709 [hyper,524,114] {-} coll($c10,$c10,$c9).
% 131.67/131.88 1931 [hyper,566,3,448] {-} coll($c8,$c9,$c6).
% 131.67/131.88 1933 [hyper,566,1] {-} coll($c6,$c9,$c6).
% 131.67/131.88 2077 [hyper,708,114] {-} coll($c8,$c8,$c5).
% 131.67/131.88 2079 [hyper,708,3,492] {-} coll($c8,$c9,$c5).
% 131.67/131.88 2080 [hyper,708,1] {-} coll($c5,$c8,$c5).
% 131.67/131.88 2197 [hyper,836,114] {-} coll($c3,$c3,$c9).
% 131.67/131.88 2199 [hyper,836,3,524] {-} coll($c10,$c3,$c9).
% 131.67/131.88 2200 [hyper,836,3,415] {-} coll($c7,$c3,$c9).
% 131.67/131.88 2201 [hyper,836,3,219] {-} coll($c5,$c3,$c9).
% 131.67/131.88 2203 [hyper,836,3,524] {-} coll($c3,$c10,$c9).
% 131.67/131.88 2204 [hyper,836,3,415] {-} coll($c3,$c7,$c9).
% 131.67/131.88 2205 [hyper,836,3,219] {-} coll($c3,$c5,$c9).
% 131.67/131.88 2219 [hyper,837,1] {-} coll($c8,$c9,$c3).
% 131.67/131.88 2288 [hyper,838,114] {-} coll($c8,$c8,$c3).
% 131.67/131.88 2302 [hyper,895,114] {-} coll($c2,$c2,$c9).
% 131.67/131.88 2305 [hyper,895,3,524] {-} coll($c10,$c2,$c9).
% 131.67/131.88 2306 [hyper,895,3,415] {-} coll($c7,$c2,$c9).
% 131.67/131.88 2310 [hyper,895,3,524] {-} coll($c2,$c10,$c9).
% 131.67/131.88 2311 [hyper,895,3,415] {-} coll($c2,$c7,$c9).
% 131.67/131.88 2312 [hyper,895,3,219] {-} coll($c2,$c5,$c9).
% 131.67/131.88 2313 [hyper,895,1] {-} coll($c9,$c2,$c9).
% 131.67/131.88 2326 [hyper,896,1] {-} coll($c6,$c9,$c2).
% 131.67/131.88 2393 [hyper,1065,114] {-} coll($c1,$c1,$c8).
% 131.67/131.88 2396 [hyper,1065,3,401] {-} coll($c9,$c1,$c8).
% 131.67/131.88 2403 [hyper,1065,3,189] {-} coll($c1,$c7,$c8).
% 131.67/131.88 2417 [hyper,1066,1] {-} coll($c5,$c8,$c1).
% 131.67/131.88 2430 [hyper,1067,114] {-} coll($c5,$c5,$c1).
% 131.67/131.88 2500 [hyper,1156,3,1065] {-} coll($c1,$c8,$c8).
% 131.67/131.88 2526 [hyper,1270,3,895] {-} coll($c2,$c8,$c9).
% 131.67/131.88 2530 [hyper,1270,3,895] {-} coll($c8,$c2,$c9).
% 131.67/131.88 2534 [hyper,1270,1] {-} coll($c9,$c8,$c9).
% 131.67/131.88 2705 [hyper,1301,1] {-} coll($c7,$c9,$c5).
% 131.67/131.88 2718 [hyper,1302,3,190] {-} coll($c8,$c9,$c9).
% 131.67/131.88 2927 [hyper,1436,114] {-} coll($c7,$c7,$c6).
% 131.67/131.88 3275 [hyper,1681,3,253] {-} coll($c6,$c5,$c9).
% 131.67/131.88 3276 [hyper,1681,3,253] {-} coll($c5,$c6,$c9).
% 131.67/131.88 3306 [hyper,1695,3,836] {-} coll($c3,$c9,$c9).
% 131.67/131.88 3384 [hyper,1709,3,1542] {-} coll($c8,$c9,$c10).
% 131.67/131.88 4203 [hyper,2077,3,401] {-} coll($c5,$c9,$c8).
% 131.67/131.88 4632 [hyper,2197,1] {-} coll($c3,$c9,$c3).
% 131.67/131.88 4658 [hyper,2199,1] {-} coll($c10,$c9,$c3).
% 131.67/131.88 4723 [hyper,2200,1] {-} coll($c7,$c9,$c3).
% 131.67/131.88 4736 [hyper,2201,1] {-} coll($c5,$c9,$c3).
% 131.67/131.88 4762 [hyper,2203,1] {-} coll($c3,$c9,$c10).
% 131.67/131.88 4827 [hyper,2204,1] {-} coll($c3,$c9,$c7).
% 131.67/131.88 4871 [hyper,2219,3,1931] {-} coll($c3,$c6,$c8).
% 131.67/131.88 4873 [hyper,2219,3,1273] {-} coll($c3,$c8,$c8).
% 131.67/131.88 4930 [hyper,2288,3,1065] {-} coll($c3,$c1,$c8).
% 131.67/131.88 4957 [hyper,2302,1] {-} coll($c2,$c9,$c2).
% 131.67/131.88 5036 [hyper,2305,1] {-} coll($c10,$c9,$c2).
% 131.67/131.88 5049 [hyper,2306,1] {-} coll($c7,$c9,$c2).
% 131.67/131.88 5141 [hyper,2310,1] {-} coll($c2,$c9,$c10).
% 131.67/131.88 5154 [hyper,2311,1] {-} coll($c2,$c9,$c7).
% 131.67/131.88 5207 [hyper,2312,1] {-} coll($c2,$c9,$c5).
% 131.67/131.88 5237 [hyper,2326,3,1933] {-} coll($c2,$c6,$c6).
% 131.67/131.88 5238 [hyper,2326,3,1271] {-} coll($c2,$c8,$c6).
% 131.67/131.88 5338 [hyper,2393,1] {-} coll($c1,$c8,$c1).
% 131.67/131.88 5439 [hyper,2396,1] {-} coll($c9,$c8,$c1).
% 131.67/131.88 5590 [hyper,2403,1] {-} coll($c1,$c8,$c7).
% 131.67/131.88 5679 [hyper,2417,3,2080] {-} coll($c1,$c5,$c5).
% 131.67/131.88 5696 [hyper,2430,3,492] {-} coll($c1,$c9,$c5).
% 131.67/131.88 5899 [hyper,2526,1] {-} coll($c2,$c9,$c8).
% 131.67/131.88 5977 [hyper,2530,1] {-} coll($c8,$c9,$c2).
% 131.67/131.88 6456 [hyper,234,9,161] {-} para($c6,$c9,$c6,$c9).
% 131.67/131.88 6525 [hyper,235,8] {-} perp($c8,$c10,$c6,$c9).
% 131.67/131.88 6737 [hyper,3275,1] {-} coll($c6,$c9,$c5).
% 131.67/131.88 6750 [hyper,3276,1] {-} coll($c5,$c9,$c6).
% 131.67/131.88 7550 [hyper,4632,3,3306] {-} coll($c9,$c3,$c3).
% 131.67/131.88 7604 [hyper,4658,3,1545] {-} coll($c3,$c8,$c10).
% 131.67/131.88 7605 [hyper,4658,3,525] {-} coll($c3,$c5,$c10).
% 131.67/131.88 7628 [hyper,4723,3,2705] {-} coll($c3,$c5,$c7).
% 131.67/131.88 7630 [hyper,4723,3,160] {-} coll($c3,$c8,$c7).
% 131.67/131.88 7651 [hyper,4736,3,4203] {-} coll($c3,$c8,$c5).
% 131.67/131.88 7908 [hyper,4930,1] {-} coll($c3,$c8,$c1).
% 131.67/131.88 8031 [hyper,5036,3,1545] {-} coll($c2,$c8,$c10).
% 131.67/131.88 8032 [hyper,5036,3,525] {-} coll($c2,$c5,$c10).
% 131.67/131.88 8059 [hyper,5049,3,160] {-} coll($c2,$c8,$c7).
% 131.67/131.88 8157 [hyper,5154,114] {-} coll($c7,$c7,$c2).
% 131.67/131.88 8161 [hyper,5154,3,4957] {-} coll($c2,$c7,$c2).
% 131.67/131.88 8180 [hyper,5207,114] {-} coll($c5,$c5,$c2).
% 131.67/131.88 8328 [hyper,5338,3,2500] {-} coll($c8,$c1,$c1).
% 131.67/131.88 8329 [hyper,5338,3,1067] {-} coll($c5,$c1,$c1).
% 131.67/131.88 8413 [hyper,5439,2] {-} coll($c8,$c9,$c1).
% 131.67/131.88 8556 [hyper,5590,114] {-} coll($c7,$c7,$c1).
% 131.67/131.88 8701 [hyper,5899,114] {-} coll($c8,$c8,$c2).
% 131.67/131.88 8735 [hyper,5977,3,1287] {-} coll($c7,$c2,$c8).
% 131.67/131.88 8740 [hyper,5977,3,2079] {-} coll($c2,$c5,$c8).
% 131.67/131.88 8741 [hyper,5977,3,1287] {-} coll($c2,$c7,$c8).
% 131.67/131.88 9482 [hyper,6737,3,2326] {-} coll($c2,$c5,$c6).
% 131.67/131.88 9499 [hyper,6750,3,4736] {-} coll($c3,$c6,$c5).
% 131.67/131.88 9536 [hyper,287,5] {-} para($c9,$c9,$c3,$c3).
% 131.67/131.88 9593 [hyper,289,154] {-} cyclic($c8,$c9,$c9,$c9).
% 131.67/131.88 9594 [hyper,289,116] {-} circle($c3,$c8,$c9,$c9).
% 131.67/131.88 9596 [hyper,289,23] {-} cong($c3,$c8,$c9,$c3).
% 131.67/131.88 11467 [hyper,318,116] {-} circle($c2,$c6,$c9,$c9).
% 131.67/131.88 11469 [hyper,318,23] {-} cong($c2,$c6,$c9,$c2).
% 131.67/131.88 12131 [hyper,7908,3,7651] {-} coll($c5,$c1,$c3).
% 131.67/131.88 12270 [hyper,332,9,163] {-} para($c5,$c8,$c5,$c8).
% 131.67/131.88 12330 [hyper,333,8] {-} perp($c9,$c10,$c5,$c8).
% 131.67/131.88 12916 [hyper,355,5] {-} para($c8,$c8,$c1,$c1).
% 131.67/131.88 13344 [hyper,365,128] {-} para($c8,$c8,$c8,$c8).
% 131.67/131.88 13993 [hyper,373,116] {-} circle($c1,$c5,$c8,$c8).
% 131.67/131.88 13995 [hyper,373,23] {-} cong($c1,$c5,$c8,$c1).
% 131.67/131.88 14051 [hyper,8180,3,2430] {-} coll($c2,$c1,$c5).
% 131.67/131.88 14548 [hyper,8413,3,5977] {-} coll($c2,$c1,$c8).
% 131.67/131.88 15191 [hyper,430,40] {-} eqangle($c9,$c8,A,B,$c9,$c8,A,B).
% 131.67/131.88 15218 [hyper,431,8] {-} perp($c10,$c7,$c9,$c8).
% 131.67/131.88 15409 [hyper,8556,3,8157] {-} coll($c2,$c1,$c7).
% 131.67/131.88 16235 [hyper,507,9,172] {-} para($c8,$c9,$c8,$c9).
% 131.67/131.88 16236 [hyper,507,7] {-} perp($c8,$c9,$c10,$c7).
% 131.67/131.88 16644 [hyper,14051,1] {-} coll($c2,$c5,$c1).
% 131.67/131.88 16670 [hyper,14548,1] {-} coll($c2,$c8,$c1).
% 131.67/131.88 16759 [hyper,15409,1] {-} coll($c2,$c7,$c1).
% 131.67/131.88 16807 [hyper,16644,3,8740] {-} coll($c8,$c1,$c2).
% 131.67/131.88 17505 [hyper,881,116] {-} circle($c3,$c9,$c8,$c8).
% 131.67/131.88 17507 [hyper,881,25,289] {-} cong($c3,$c8,$c3,$c8).
% 131.67/131.88 17508 [hyper,881,25,289] {-} cong($c3,$c9,$c3,$c9).
% 131.67/131.88 18149 [hyper,948,116] {-} circle($c2,$c9,$c6,$c6).
% 131.67/131.88 18151 [hyper,948,25,318] {-} cong($c2,$c6,$c2,$c6).
% 131.67/131.88 18152 [hyper,948,25,318] {-} cong($c2,$c9,$c2,$c9).
% 131.67/131.88 18576 [hyper,950,6,949] {-} para($c9,$c6,$c9,$c6).
% 131.67/131.88 18788 [hyper,951,5] {-} para($c8,$c6,$c3,$c2).
% 131.67/131.88 18789 [hyper,951,4] {-} para($c3,$c2,$c6,$c8).
% 131.67/131.88 19435 [hyper,1126,25,373] {-} cong($c1,$c5,$c1,$c5).
% 131.67/131.88 19860 [hyper,1128,6,1127] {-} para($c8,$c5,$c8,$c5).
% 131.67/131.88 20072 [hyper,1129,5] {-} para($c9,$c5,$c3,$c1).
% 131.67/131.88 20288 [hyper,1130,5] {-} para($c5,$c9,$c1,$c3).
% 131.67/131.88 20289 [hyper,1130,4] {-} para($c1,$c3,$c9,$c5).
% 131.67/131.88 20926 [hyper,6525,9,235] {-} para($c8,$c10,$c8,$c10).
% 131.67/131.88 21148 [hyper,9594,54,288] {-} perp($c8,$c9,$c9,$c9).
% 131.67/131.88 21150 [hyper,9596,24] {-} cong($c9,$c3,$c3,$c8).
% 131.67/131.88 21370 [hyper,11467,54,317] {-} perp($c6,$c9,$c9,$c9).
% 131.67/131.88 21372 [hyper,11469,24] {-} cong($c9,$c2,$c2,$c6).
% 131.67/131.88 23077 [hyper,13344,40] {-} eqangle($c8,$c8,A,B,$c8,$c8,A,B).
% 131.67/131.88 23084 [hyper,13993,54,372] {-} perp($c5,$c8,$c8,$c8).
% 131.67/131.88 23086 [hyper,13995,24] {-} cong($c8,$c1,$c1,$c5).
% 131.67/131.88 23301 [hyper,15218,9,431] {-} para($c10,$c7,$c10,$c7).
% 131.67/131.88 23515 [hyper,16235,40] {-} eqangle($c8,$c9,A,B,$c8,$c9,A,B).
% 131.67/131.88 24155 [hyper,17505,54,838] {-} perp($c9,$c8,$c8,$c8).
% 131.67/131.88 24163 [hyper,17507,117,289] {-} cyclic($c8,$c9,$c9,$c8).
% 131.67/131.88 24166 [hyper,17507,68,4873] {-} midp($c3,$c8,$c8).
% 131.67/131.88 24169 [hyper,17507,12,289] {-} circle($c3,$c8,$c9,$c8).
% 131.67/131.88 24172 [hyper,24166,129,16235] {-} midp($c3,$c9,$c9).
% 131.67/131.88 24199 [hyper,24166,64,290] {-} para($c8,$c9,$c8,$c8).
% 131.67/131.88 24200 [hyper,24166,64,167] {-} para($c8,$c8,$c8,$c9).
% 131.67/131.88 24203 [hyper,24166,46,951,5238] {-} midp($c2,$c8,$c6).
% 131.67/131.88 24237 [hyper,24172,64,290] {-} para($c9,$c9,$c9,$c8).
% 131.67/131.88 24241 [hyper,24172,46,1129,5696] {-} midp($c1,$c9,$c5).
% 131.67/131.88 24283 [hyper,24203,45,374] {-} para($c1,$c2,$c5,$c6).
% 131.67/131.88 24285 [hyper,24203,11] {-} midp($c2,$c6,$c8).
% 131.67/131.88 24332 [hyper,24241,11] {-} midp($c1,$c5,$c9).
% 131.67/131.88 24379 [hyper,24285,64,319] {-} para($c6,$c9,$c8,$c6).
% 131.67/131.88 24380 [hyper,24285,64,168] {-} para($c6,$c6,$c8,$c9).
% 131.67/131.88 24444 [hyper,17508,57,17507] {-} perp($c3,$c3,$c8,$c9).
% 131.67/131.88 25302 [hyper,18149,54,897] {-} perp($c9,$c6,$c6,$c6).
% 131.67/131.88 25310 [hyper,18151,68,5237] {-} midp($c2,$c6,$c6).
% 131.67/131.88 25319 [hyper,25310,129,6456] {-} midp($c2,$c9,$c9).
% 131.67/131.88 25372 [hyper,25310,64,24285] {-} para($c6,$c6,$c6,$c8).
% 131.67/131.88 25373 [hyper,25310,64,24203] {-} para($c6,$c8,$c6,$c6).
% 131.67/131.88 25377 [hyper,25310,46,952,4871] {-} midp($c3,$c6,$c8).
% 131.67/131.88 25383 [hyper,25319,129,430] {-} midp($c2,$c8,$c8).
% 131.67/131.88 25439 [hyper,25319,64,24285] {-} para($c9,$c6,$c9,$c8).
% 131.67/131.88 25440 [hyper,25319,64,24203] {-} para($c9,$c8,$c9,$c6).
% 131.67/131.88 25517 [hyper,25377,11] {-} midp($c3,$c8,$c6).
% 131.67/131.88 25588 [hyper,25383,45,374] {-} para($c1,$c2,$c5,$c8).
% 131.67/131.88 25680 [hyper,18152,57,18151] {-} perp($c2,$c2,$c6,$c9).
% 131.67/131.88 25688 [hyper,18576,129,24172] {-} midp($c3,$c6,$c6).
% 131.67/131.88 25970 [hyper,25688,64,167] {-} para($c8,$c6,$c9,$c6).
% 131.67/131.88 26187 [hyper,18788,6,951] {-} para($c3,$c2,$c3,$c2).
% 131.67/131.88 27687 [hyper,19435,68,5679] {-} midp($c1,$c5,$c5).
% 131.67/131.88 27693 [hyper,27687,129,12270] {-} midp($c1,$c8,$c8).
% 131.67/131.88 27766 [hyper,27687,64,24332] {-} para($c5,$c5,$c9,$c5).
% 131.67/131.88 27775 [hyper,27687,46,1130,2205] {-} midp($c3,$c5,$c9).
% 131.67/131.88 27781 [hyper,27693,129,16235] {-} midp($c1,$c9,$c9).
% 131.67/131.88 27868 [hyper,27693,45,25383] {-} para($c2,$c1,$c8,$c8).
% 131.67/131.88 27971 [hyper,27775,64,290] {-} para($c5,$c9,$c9,$c8).
% 131.67/131.88 27975 [hyper,27775,11] {-} midp($c3,$c9,$c5).
% 131.67/131.88 27977 [hyper,27781,129,18576] {-} midp($c1,$c6,$c6).
% 131.67/131.88 28065 [hyper,27781,64,27687] {-} para($c9,$c5,$c9,$c5).
% 131.67/131.88 28313 [hyper,19860,129,25383] {-} midp($c2,$c5,$c5).
% 131.67/131.88 28960 [hyper,20072,6,1129] {-} para($c3,$c1,$c3,$c1).
% 131.67/131.88 28961 [hyper,20072,4] {-} para($c9,$c5,$c1,$c3).
% 131.67/131.88 29388 [hyper,20288,6,1130] {-} para($c1,$c3,$c1,$c3).
% 131.67/131.88 29816 [hyper,20926,129,25383] {-} midp($c2,$c10,$c10).
% 131.67/131.88 29817 [hyper,20926,129,24166] {-} midp($c3,$c10,$c10).
% 131.67/131.88 30385 [hyper,29817,45,29816] {-} para($c2,$c3,$c10,$c10).
% 131.67/131.88 31240 [hyper,21150,25,9596] {-} cong($c9,$c3,$c9,$c3).
% 131.67/131.88 32081 [hyper,21370,9,6525] {-} para($c8,$c10,$c9,$c9).
% 131.67/131.88 32086 [hyper,21372,23] {-} cong($c9,$c2,$c6,$c2).
% 131.67/131.88 35052 [hyper,23084,9,12330] {-} para($c9,$c10,$c8,$c8).
% 131.67/131.88 35056 [hyper,23086,25,13995] {-} cong($c8,$c1,$c8,$c1).
% 131.67/131.88 35271 [hyper,23301,129,29817] {-} midp($c3,$c7,$c7).
% 131.67/131.88 35272 [hyper,23301,129,29816] {-} midp($c2,$c7,$c7).
% 131.67/131.88 35488 [hyper,35271,124] {-} para($c3,$c3,$c7,$c7).
% 131.67/131.88 35608 [hyper,35271,64,25517] {-} para($c8,$c7,$c6,$c7).
% 131.67/131.88 35610 [hyper,35271,64,24172] {-} para($c9,$c7,$c9,$c7).
% 131.67/131.88 35750 [hyper,35272,45,35271] {-} para($c3,$c2,$c7,$c7).
% 131.67/131.88 36549 [hyper,24169,54,4873] {-} perp($c8,$c9,$c9,$c8).
% 131.67/131.88 37420 [hyper,24200,65,27693,24199] {-} midp($c1,$c9,$c8).
% 131.67/131.88 37421 [hyper,24200,65,25383,24199] {-} midp($c2,$c9,$c8).
% 131.67/131.88 37424 [hyper,24200,65,27693,24199] {-} midp($c1,$c8,$c9).
% 131.67/131.88 37425 [hyper,24200,65,25383,24199] {-} midp($c2,$c8,$c9).
% 131.67/131.88 37564 [hyper,37420,53,24155] {-} cong($c9,$c1,$c8,$c1).
% 131.67/131.88 37707 [hyper,37421,53,24155] {-} cong($c9,$c2,$c8,$c2).
% 131.67/131.88 37710 [hyper,37421,45,27975] {-} para($c3,$c2,$c5,$c8).
% 131.67/131.88 37857 [hyper,37424,46,20289,7651] {-} midp($c3,$c8,$c5).
% 131.67/131.88 38005 [hyper,37425,53,21148] {-} cong($c8,$c2,$c9,$c2).
% 131.67/131.88 38312 [hyper,37857,65,1128,1084] {-} midp($c3,$c5,$c8).
% 131.67/131.88 38646 [hyper,38312,46,951,9482] {-} midp($c2,$c5,$c6).
% 131.67/131.88 39034 [hyper,38646,45,28313] {-} para($c2,$c2,$c5,$c6).
% 131.67/131.88 42630 [hyper,24283,5] {-} para($c5,$c6,$c1,$c2).
% 131.67/131.88 47204 [hyper,24444,9,16236] {-} para($c3,$c3,$c10,$c7).
% 131.67/131.88 48764 [hyper,25373,65,27977,25372] {-} midp($c1,$c6,$c8).
% 131.67/131.88 48948 [hyper,48764,65,24380,24379] {-} midp($c1,$c6,$c9).
% 131.67/131.88 49315 [hyper,48948,46,20289,9499] {-} midp($c3,$c6,$c5).
% 131.67/131.88 49696 [hyper,49315,11] {-} midp($c3,$c5,$c6).
% 131.67/131.88 49796 [hyper,49696,46,18789,8740] {-} midp($c2,$c5,$c8).
% 131.67/131.88 50642 [hyper,25588,5] {-} para($c5,$c8,$c1,$c2).
% 131.67/131.88 50871 [hyper,25680,9,235] {-} para($c2,$c2,$c8,$c10).
% 131.67/131.88 50920 [hyper,25970,10,25302] {-} perp($c8,$c6,$c6,$c6).
% 131.67/131.88 51191 [hyper,27766,6,20072] {-} para($c5,$c5,$c3,$c1).
% 131.67/131.88 51449 [hyper,27868,6,12916] {-} para($c2,$c1,$c1,$c1).
% 131.67/131.88 53255 [hyper,31240,68,7550] {-} midp($c9,$c3,$c3).
% 131.67/131.88 53257 [hyper,53255,129,28960] {-} midp($c9,$c1,$c1).
% 131.67/131.88 53479 [hyper,53257,46,28961,12131] {-} midp($c5,$c1,$c3).
% 131.67/131.88 53855 [hyper,32081,6,24237] {-} para($c8,$c10,$c9,$c8).
% 131.67/131.88 53955 [hyper,35052,5] {-} para($c8,$c8,$c9,$c10).
% 131.67/131.88 54007 [hyper,35056,68,8328] {-} midp($c8,$c1,$c1).
% 131.67/131.88 54009 [hyper,54007,129,29388] {-} midp($c8,$c3,$c3).
% 131.67/131.88 54130 [hyper,54009,129,26187] {-} midp($c8,$c2,$c2).
% 131.67/131.88 54374 [hyper,54130,69] {-} cong($c8,$c2,$c8,$c2).
% 131.67/131.88 54653 [hyper,35488,6,9536] {-} para($c9,$c9,$c7,$c7).
% 131.67/131.88 54719 [hyper,35608,4] {-} para($c8,$c7,$c7,$c6).
% 131.67/131.88 54737 [hyper,35610,4] {-} para($c9,$c7,$c7,$c9).
% 131.67/131.88 55434 [hyper,36549,9,431] {-} para($c8,$c9,$c10,$c7).
% 131.67/131.88 55824 [hyper,37707,57,37564] {-} perp($c9,$c8,$c2,$c1).
% 131.67/131.88 56044 [hyper,38005,25,32086] {-} cong($c8,$c2,$c6,$c2).
% 131.67/131.88 56347 [hyper,15191,123,24163,9593] {-} cong($c8,$c9,$c8,$c9).
% 131.67/131.88 57863 [hyper,42630,6,39034] {-} para($c2,$c2,$c1,$c2).
% 131.67/131.88 62412 [hyper,50871,46,49796,8032] {-} midp($c2,$c5,$c10).
% 131.67/131.88 62413 [hyper,50871,46,37421,5141] {-} midp($c2,$c9,$c10).
% 131.67/131.88 62414 [hyper,50871,46,25383,8031] {-} midp($c2,$c8,$c10).
% 131.67/131.88 62616 [hyper,62412,46,30385,7605] {-} midp($c3,$c5,$c10).
% 131.67/131.88 62833 [hyper,62413,46,30385,4762] {-} midp($c3,$c9,$c10).
% 131.67/131.88 63030 [hyper,62414,46,30385,7604] {-} midp($c3,$c8,$c10).
% 131.67/131.88 63409 [hyper,62616,46,47204,7628] {-} midp($c3,$c5,$c7).
% 131.67/131.88 64007 [hyper,62833,46,47204,4827] {-} midp($c3,$c9,$c7).
% 131.67/131.88 64571 [hyper,63030,46,47204,7630] {-} midp($c3,$c8,$c7).
% 131.67/131.88 65826 [hyper,63409,11] {-} midp($c3,$c7,$c5).
% 131.67/131.88 67731 [hyper,64007,46,35750,5154] {-} midp($c2,$c9,$c7).
% 131.67/131.88 67992 [hyper,64571,46,35750,8059] {-} midp($c2,$c8,$c7).
% 131.67/131.88 67993 [hyper,64571,11] {-} midp($c3,$c7,$c8).
% 131.67/131.88 68970 [hyper,65826,46,37710,8741] {-} midp($c2,$c7,$c8).
% 131.67/131.88 70161 [hyper,67992,69] {-} cong($c2,$c8,$c2,$c7).
% 131.67/131.88 70419 [hyper,67993,64,167] {-} para($c8,$c7,$c9,$c8).
% 131.67/131.88 70443 [hyper,67993,64,290] {-} para($c7,$c9,$c8,$c8).
% 131.67/131.88 74035 [hyper,51191,46,53479,8329] {-} midp($c5,$c1,$c1).
% 131.67/131.88 74295 [hyper,74035,46,50642,16807] {-} midp($c8,$c1,$c2).
% 131.67/131.88 75085 [hyper,74295,11] {-} midp($c8,$c2,$c1).
% 131.67/131.88 93339 [hyper,55824,10,27971] {-} perp($c5,$c9,$c2,$c1).
% 131.67/131.88 93739 [hyper,23077,43,8701] {-} cyclic($c8,$c2,$c8,$c8).
% 131.67/131.88 93741 [hyper,23077,43,1065] {-} cyclic($c8,$c1,$c8,$c8).
% 131.67/131.88 94300 [hyper,56347,68,2718] {-} midp($c8,$c9,$c9).
% 131.67/131.88 94304 [hyper,56347,57,54374] {-} perp($c8,$c8,$c9,$c2).
% 131.67/131.88 94310 [hyper,94300,129,35610] {-} midp($c8,$c7,$c7).
% 131.67/131.88 94311 [hyper,94300,129,28065] {-} midp($c8,$c5,$c5).
% 131.67/131.88 94314 [hyper,94300,129,430] {-} midp($c8,$c8,$c8).
% 131.67/131.88 94654 [hyper,94300,65,25440,25439] {-} midp($c8,$c8,$c6).
% 131.67/131.88 94666 [hyper,94300,64,54007] {-} para($c1,$c9,$c1,$c9).
% 131.67/131.88 94667 [hyper,94300,64,75085] {-} para($c9,$c2,$c9,$c1).
% 131.67/131.88 94670 [hyper,94300,64,74295] {-} para($c9,$c1,$c9,$c2).
% 131.67/131.88 94690 [hyper,94300,46,53955,3384] {-} midp($c8,$c9,$c10).
% 131.67/131.88 94691 [hyper,94300,46,53855,1545] {-} midp($c10,$c9,$c8).
% 131.67/131.88 94709 [hyper,94300,45,67731] {-} para($c2,$c8,$c7,$c9).
% 131.67/131.88 95103 [hyper,94310,46,54719,2927] {-} midp($c7,$c7,$c6).
% 131.67/131.88 95552 [hyper,94311,45,24332] {-} para($c8,$c1,$c5,$c9).
% 131.67/131.88 95559 [hyper,23515,43,722] {-} cyclic($c9,$c4,$c8,$c8).
% 131.67/131.88 96765 [hyper,94314,46,16235,2534] {-} midp($c9,$c8,$c9).
% 131.67/131.88 100169 [hyper,94654,53,50920] {-} cong($c8,$c8,$c6,$c8).
% 131.67/131.88 101749 [hyper,94690,46,55434,415] {-} midp($c9,$c9,$c7).
% 131.67/131.88 102128 [hyper,94691,56,159] {-} cong($c7,$c9,$c7,$c8).
% 131.67/131.88 113566 [hyper,95103,45,68970] {-} para($c2,$c7,$c8,$c6).
% 131.67/131.88 114231 [hyper,101749,65,54737,54653] {-} midp($c9,$c7,$c9).
% 131.67/131.88 118860 [hyper,93739,15] {-} cyclic($c8,$c8,$c2,$c8).
% 131.67/131.88 118864 [hyper,93741,15] {-} cyclic($c8,$c8,$c1,$c8).
% 131.67/131.88 119128 [hyper,94304,10,70443] {-} perp($c7,$c9,$c9,$c2).
% 131.67/131.88 119385 [hyper,94667,46,114231,16759] {-} midp($c2,$c7,$c1).
% 131.67/131.88 119387 [hyper,94667,46,96765,16670] {-} midp($c2,$c8,$c1).
% 131.67/131.88 119463 [hyper,119385,46,57863,8161] {-} midp($c2,$c7,$c2).
% 131.67/131.88 119693 [hyper,119387,46,51449,5338] {-} midp($c1,$c8,$c1).
% 131.67/131.88 120062 [hyper,119463,11] {-} midp($c2,$c2,$c7).
% 131.67/131.88 120231 [hyper,94670,65,27781,94667] {-} midp($c1,$c2,$c1).
% 131.67/131.88 124566 [hyper,120062,46,94709,2530] {-} midp($c8,$c2,$c9).
% 131.67/131.88 124809 [hyper,120231,46,94666,2313] {-} midp($c9,$c2,$c9).
% 131.67/131.88 128843 [hyper,124566,46,70419,8735] {-} midp($c7,$c2,$c8).
% 131.67/131.88 128902 [hyper,124809,11] {-} midp($c9,$c9,$c2).
% 131.67/131.88 133412 [hyper,128843,11] {-} midp($c7,$c8,$c2).
% 131.67/131.88 150127 [hyper,95552,10,93339] {-} perp($c8,$c1,$c2,$c1).
% 131.67/131.88 150185 [hyper,95559,15] {-} cyclic($c9,$c8,$c4,$c8).
% 131.67/131.88 152565 [hyper,100169,57,56044] {-} perp($c8,$c6,$c8,$c2).
% 131.67/131.88 185988 [hyper,118860,14] {-} cyclic($c8,$c8,$c8,$c2).
% 131.67/131.88 185990 [hyper,118864,14] {-} cyclic($c8,$c8,$c8,$c1).
% 131.67/131.88 188560 [hyper,119128,56,128902] {-} cong($c7,$c9,$c7,$c2).
% 131.67/131.88 198073 [hyper,150127,8] {-} perp($c2,$c1,$c8,$c1).
% 131.67/131.88 198085 [hyper,150185,14] {-} cyclic($c9,$c8,$c8,$c4).
% 131.67/131.88 201157 [hyper,152565,10,113566] {-} perp($c2,$c7,$c8,$c2).
% 131.67/131.88 215315 [hyper,185990,17,185988] {-} cyclic($c8,$c8,$c2,$c1).
% 131.67/131.88 217053 [hyper,188560,117,102128] {-} cyclic($c9,$c8,$c8,$c2).
% 131.67/131.88 219110 [hyper,198073,56,119693] {-} cong($c2,$c8,$c2,$c1).
% 131.67/131.88 221612 [hyper,201157,56,133412] {-} cong($c2,$c8,$c2,$c2).
% 131.67/131.88 243273 [hyper,217053,17,198085] {-} cyclic($c8,$c8,$c2,$c4).
% 131.67/131.88 246659 [hyper,221612,13,219110,70161] {-} cyclic($c8,$c2,$c1,$c7).
% 131.67/131.88 253957 [hyper,243273,17,215315] {-} cyclic($c8,$c2,$c1,$c4).
% 131.67/131.88 272711 [hyper,253957,17,246659] {-} cyclic($c2,$c1,$c4,$c7).
% 131.67/131.88 272712 [binary,272711.1,113.1] {-} $F.
% 131.67/131.88
% 131.67/131.88 % SZS output end Refutation
% 131.67/131.88 ------------ end of proof -------------
% 131.67/131.88
% 131.67/131.88
% 131.67/131.88 Search stopped by max_proofs option.
% 131.67/131.88
% 131.67/131.88
% 131.67/131.88 Search stopped by max_proofs option.
% 131.67/131.88
% 131.67/131.88 ============ end of search ============
% 131.67/131.88
% 131.67/131.88 That finishes the proof of the theorem.
% 131.67/131.88
% 131.67/131.88 Process 29338 finished Fri Jun 17 18:05:48 2022
%------------------------------------------------------------------------------