TSTP Solution File: GEO649+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO649+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n006.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 06:21:20 EDT 2022
% Result : Theorem 128.10s 128.28s
% Output : Refutation 128.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO649+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 05:02:25 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.36 ----- Otter 3.2, August 2001 -----
% 0.13/0.36 The process was started by sandbox on n006.cluster.edu,
% 0.13/0.36 Sat Jun 18 05:02:25 2022
% 0.13/0.36 The command was "./sos". The process ID is 29454.
% 0.13/0.36
% 0.13/0.36 set(prolog_style_variables).
% 0.13/0.36 set(auto).
% 0.13/0.36 dependent: set(auto1).
% 0.13/0.36 dependent: set(process_input).
% 0.13/0.36 dependent: clear(print_kept).
% 0.13/0.36 dependent: clear(print_new_demod).
% 0.13/0.36 dependent: clear(print_back_demod).
% 0.13/0.36 dependent: clear(print_back_sub).
% 0.13/0.36 dependent: set(control_memory).
% 0.13/0.36 dependent: assign(max_mem, 12000).
% 0.13/0.36 dependent: assign(pick_given_ratio, 4).
% 0.13/0.36 dependent: assign(stats_level, 1).
% 0.13/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36 dependent: assign(sos_limit, 5000).
% 0.13/0.36 dependent: assign(max_weight, 60).
% 0.13/0.36 clear(print_given).
% 0.13/0.36
% 0.13/0.36 formula_list(usable).
% 0.13/0.36
% 0.13/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.36
% 0.13/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.36 clauses in usable.
% 0.13/0.36
% 0.13/0.36 dependent: set(knuth_bendix).
% 0.13/0.36 dependent: set(para_from).
% 0.13/0.36 dependent: set(para_into).
% 0.13/0.36 dependent: clear(para_from_right).
% 0.13/0.36 dependent: clear(para_into_right).
% 0.13/0.36 dependent: set(para_from_vars).
% 0.13/0.36 dependent: set(eq_units_both_ways).
% 0.13/0.36 dependent: set(dynamic_demod_all).
% 0.13/0.36 dependent: set(dynamic_demod).
% 0.13/0.36 dependent: set(order_eq).
% 0.13/0.36 dependent: set(back_demod).
% 0.13/0.36 dependent: set(lrpo).
% 0.13/0.36 dependent: set(hyper_res).
% 0.13/0.36 dependent: set(unit_deletion).
% 0.13/0.36 dependent: set(factor).
% 0.13/0.36
% 0.13/0.36 ------------> process usable:
% 0.13/0.36 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).
% 0.13/0.36
% 0.13/0.36 ------------> process sos:
% 0.13/0.36 Following clause subsumed by 172 during input processing: 0 [copy,172,flip.1] {-} A=A.
% 0.13/0.36 172 back subsumes 146.
% 0.13/0.36 172 back subsumes 145.
% 0.13/0.36 172 back subsumes 144.
% 0.13/0.36 172 back subsumes 143.
% 0.13/0.36
% 0.13/0.36 ======= 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: 168
% 0.18/0.43 percentage of clauses intially in UL: 91
% 0.18/0.43 percentage of distinct symbols occuring in initial UL: 75
% 0.18/0.43 percent of all initial clauses that are short: 100
% 0.18/0.43 absolute distinct symbol count: 48
% 0.18/0.43 distinct predicate count: 12
% 0.18/0.43 distinct function count: 20
% 0.18/0.43 distinct constant count: 16
% 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 ===========
% 5.82/6.09
% 5.82/6.09
% 5.82/6.09 Changing weight limit from 60 to 57.
% 5.82/6.09
% 5.82/6.09 Resetting weight limit to 57 after 240 givens.
% 5.82/6.09
% 6.51/6.73
% 6.51/6.73
% 6.51/6.73 Changing weight limit from 57 to 56.
% 6.51/6.73
% 6.51/6.73 Resetting weight limit to 56 after 245 givens.
% 6.51/6.73
% 8.32/8.56
% 8.32/8.56
% 8.32/8.56 Changing weight limit from 56 to 55.
% 8.32/8.56
% 8.32/8.56 Resetting weight limit to 55 after 260 givens.
% 8.32/8.56
% 9.72/9.98
% 9.72/9.98
% 9.72/9.98 Changing weight limit from 55 to 54.
% 9.72/9.98
% 9.72/9.98 Resetting weight limit to 54 after 275 givens.
% 9.72/9.98
% 10.12/10.32
% 10.12/10.32
% 10.12/10.32 Changing weight limit from 54 to 52.
% 10.12/10.32
% 10.12/10.32 Resetting weight limit to 52 after 280 givens.
% 10.12/10.32
% 11.15/11.40
% 11.15/11.40
% 11.15/11.40 Changing weight limit from 52 to 51.
% 11.15/11.40
% 11.15/11.40 Resetting weight limit to 51 after 295 givens.
% 11.15/11.40
% 13.72/13.98
% 13.72/13.98
% 13.72/13.98 Changing weight limit from 51 to 50.
% 13.72/13.98
% 13.72/13.98 Modelling stopped after 300 given clauses and 0.00 seconds
% 13.72/13.98
% 13.72/13.98
% 13.72/13.98 Resetting weight limit to 50 after 335 givens.
% 13.72/13.98
% 16.02/16.23
% 16.02/16.23
% 16.02/16.23 Changing weight limit from 50 to 49.
% 16.02/16.23
% 16.02/16.23 Resetting weight limit to 49 after 380 givens.
% 16.02/16.23
% 16.72/16.91
% 16.72/16.91
% 16.72/16.91 Changing weight limit from 49 to 47.
% 16.72/16.91
% 16.72/16.91 Resetting weight limit to 47 after 395 givens.
% 16.72/16.91
% 16.93/17.11
% 16.93/17.11
% 16.93/17.11 Changing weight limit from 47 to 46.
% 16.93/17.11
% 16.93/17.11 Resetting weight limit to 46 after 400 givens.
% 16.93/17.11
% 17.33/17.57
% 17.33/17.57
% 17.33/17.57 Changing weight limit from 46 to 45.
% 17.33/17.57
% 17.33/17.57 Resetting weight limit to 45 after 410 givens.
% 17.33/17.57
% 17.82/18.02
% 17.82/18.02
% 17.82/18.02 Changing weight limit from 45 to 44.
% 17.82/18.02
% 17.82/18.02 Resetting weight limit to 44 after 420 givens.
% 17.82/18.02
% 17.92/18.19
% 17.92/18.19
% 17.92/18.19 Changing weight limit from 44 to 37.
% 17.92/18.19
% 17.92/18.19 Resetting weight limit to 37 after 425 givens.
% 17.92/18.19
% 18.11/18.35
% 18.11/18.35
% 18.11/18.35 Changing weight limit from 37 to 36.
% 18.11/18.35
% 18.11/18.35 Resetting weight limit to 36 after 430 givens.
% 18.11/18.35
% 18.23/18.48
% 18.23/18.48
% 18.23/18.48 Changing weight limit from 36 to 35.
% 18.23/18.48
% 18.23/18.48 Resetting weight limit to 35 after 435 givens.
% 18.23/18.48
% 18.70/18.95
% 18.70/18.95
% 18.70/18.95 Changing weight limit from 35 to 31.
% 18.70/18.95
% 18.70/18.95 Resetting weight limit to 31 after 440 givens.
% 18.70/18.95
% 18.84/19.04
% 18.84/19.04
% 18.84/19.04 Changing weight limit from 31 to 30.
% 18.84/19.04
% 18.84/19.04 Resetting weight limit to 30 after 445 givens.
% 18.84/19.04
% 24.15/24.38
% 24.15/24.38
% 24.15/24.38 Changing weight limit from 30 to 29.
% 24.15/24.38
% 24.15/24.38 Resetting weight limit to 29 after 645 givens.
% 24.15/24.38
% 25.12/25.31
% 25.12/25.31
% 25.12/25.31 Changing weight limit from 29 to 22.
% 25.12/25.31
% 25.12/25.31 Resetting weight limit to 22 after 700 givens.
% 25.12/25.31
% 25.22/25.44
% 25.22/25.44
% 25.22/25.44 Changing weight limit from 22 to 16.
% 25.22/25.44
% 25.22/25.44 Resetting weight limit to 16 after 705 givens.
% 25.22/25.44
% 25.32/25.54
% 25.32/25.54
% 25.32/25.54 Changing weight limit from 16 to 11.
% 25.32/25.54
% 25.32/25.54 Resetting weight limit to 11 after 710 givens.
% 25.32/25.54
% 25.32/25.58
% 25.32/25.58
% 25.32/25.58 Changing weight limit from 11 to 10.
% 25.32/25.58
% 25.32/25.58 Resetting weight limit to 10 after 715 givens.
% 25.32/25.58
% 27.74/27.97
% 27.74/27.97
% 27.74/27.97 Changing weight limit from 10 to 9.
% 27.74/27.97
% 27.74/27.97 Resetting weight limit to 9 after 1725 givens.
% 27.74/27.97
% 40.11/40.31
% 40.11/40.31
% 40.11/40.31 Changing weight limit from 9 to 8.
% 40.11/40.31
% 40.11/40.31 Resetting weight limit to 8 after 4375 givens.
% 40.11/40.31
% 40.21/40.47
% 40.21/40.47
% 40.21/40.47 Changing weight limit from 8 to 5.
% 40.21/40.47
% 40.21/40.47 Resetting weight limit to 5 after 4385 givens.
% 40.21/40.47
% 90.22/90.44
% 90.22/90.44
% 90.22/90.44 Changing weight limit from 5 to 6.
% 90.22/90.44
% 90.22/90.44 Resetting weight limit to 6 after 30330 givens.
% 90.22/90.44
% 90.22/90.45
% 90.22/90.45
% 90.22/90.45 Changing weight limit from 6 to 7.
% 90.22/90.45
% 90.22/90.45 Resetting weight limit to 7 after 30335 givens.
% 90.22/90.45
% 90.22/90.46
% 90.22/90.46
% 90.22/90.46 Changing weight limit from 7 to 8.
% 90.22/90.46
% 90.22/90.46 Resetting weight limit to 8 after 30340 givens.
% 90.22/90.46
% 90.22/90.47
% 90.22/90.47
% 90.22/90.47 Changing weight limit from 8 to 9.
% 90.22/90.47
% 90.22/90.47 Resetting weight limit to 9 after 30345 givens.
% 90.22/90.47
% 97.12/97.36
% 97.12/97.36
% 97.12/97.36 Changing weight limit from 9 to 5.
% 97.12/97.36
% 97.12/97.36 Resetting weight limit to 5 after 33020 givens.
% 97.12/97.36
% 107.91/108.18
% 107.91/108.18
% 107.91/108.18 Changing weight limit from 5 to 6.
% 107.91/108.18
% 107.91/108.18 Resetting weight limit to 6 after 37220 givens.
% 107.91/108.18
% 107.91/108.18
% 107.91/108.18
% 107.91/108.18 Changing weight limit from 6 to 7.
% 107.91/108.18
% 107.91/108.18 Resetting weight limit to 7 after 37225 givens.
% 107.91/108.18
% 108.00/108.19
% 108.00/108.19
% 108.00/108.19 Changing weight limit from 7 to 8.
% 108.00/108.19
% 108.00/108.19 Resetting weight limit to 8 after 37230 givens.
% 108.00/108.19
% 108.00/108.19
% 108.00/108.19
% 108.00/108.19 Changing weight limit from 8 to 9.
% 108.00/108.19
% 108.00/108.19 Resetting weight limit to 9 after 37235 givens.
% 108.00/108.19
% 119.52/119.74
% 119.52/119.74
% 119.52/119.74 Changing weight limit from 9 to 5.
% 119.52/119.74
% 119.52/119.74 Resetting weight limit to 5 after 38895 givens.
% 119.52/119.74
% 128.10/128.28
% 128.10/128.28 -- HEY sandbox, WE HAVE A PROOF!! --
% 128.10/128.28
% 128.10/128.28 ----> UNIT CONFLICT at 122.92 sec ----> 504209 [binary,504208.1,113.1] {-} $F.
% 128.10/128.28
% 128.10/128.28 Length of proof is 391. Level of proof is 25.
% 128.10/128.28
% 128.10/128.28 ---------------- PROOF ----------------
% 128.10/128.28 % SZS status Theorem
% 128.10/128.28 % SZS output start Refutation
% 128.10/128.28
% 128.10/128.28 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 128.10/128.28 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 128.10/128.28 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 128.10/128.28 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 128.10/128.28 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 128.10/128.28 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 128.10/128.28 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 128.10/128.28 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 128.10/128.28 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 128.10/128.28 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 128.10/128.28 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 128.10/128.28 12 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|circle(A,B,C,D).
% 128.10/128.28 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 128.10/128.28 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 128.10/128.28 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 128.10/128.28 23 [] {+} -cong(A,B,C,D)|cong(A,B,D,C).
% 128.10/128.28 24 [] {+} -cong(A,B,C,D)|cong(C,D,A,B).
% 128.10/128.28 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 128.10/128.28 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 128.10/128.28 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 128.10/128.28 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).
% 128.10/128.28 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 128.10/128.28 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 128.10/128.28 53 [] {+} -perp(A,B,B,C)| -midp(D,A,C)|cong(A,D,B,D).
% 128.10/128.28 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 128.10/128.28 56 [] {+} -midp(A,B,C)| -perp(D,A,B,C)|cong(D,B,D,C).
% 128.10/128.28 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 128.10/128.28 58 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 128.10/128.28 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 128.10/128.28 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 128.10/128.28 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 128.10/128.28 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 128.10/128.28 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 128.10/128.28 70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 128.10/128.28 99 [] {+} -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 128.10/128.28 113 [] {+} -para($c9,$c11,$c14,$c13).
% 128.10/128.28 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 128.10/128.28 116 [factor,12.1.2] {+} -cong(A,B,A,C)|circle(A,B,C,C).
% 128.10/128.28 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 128.10/128.28 122 [factor,44.1.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,D,D,D,E)|cong(A,B,D,E).
% 128.10/128.28 124 [factor,45.1.2] {+} -midp(A,B,C)|para(A,A,C,C).
% 128.10/128.28 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 128.10/128.28 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 128.10/128.28 159 [] {-} circle($c16,$c15,$c8,$c7).
% 128.10/128.28 163 [] {-} coll($c11,$c14,$c12).
% 128.10/128.28 164 [] {-} coll($c11,$c15,$c13).
% 128.10/128.28 165 [] {-} midp($c3,$c12,$c11).
% 128.10/128.28 166 [] {-} perp($c12,$c11,$c3,$c10).
% 128.10/128.28 167 [] {-} midp($c2,$c12,$c15).
% 128.10/128.28 168 [] {-} perp($c12,$c15,$c2,$c10).
% 128.10/128.28 169 [] {-} midp($c1,$c11,$c15).
% 128.10/128.28 170 [] {-} perp($c11,$c15,$c1,$c10).
% 128.10/128.28 171 [] {-} perp($c11,$c10,$c11,$c9).
% 128.10/128.28 173 [hyper,159,99] {-} perp($f12($c15,$c8,$c7,$c16),$c15,$c15,$c16).
% 128.10/128.28 190 [hyper,163,114] {-} coll($c12,$c12,$c11).
% 128.10/128.28 191 [hyper,163,2] {-} coll($c14,$c11,$c12).
% 128.10/128.28 205 [hyper,164,114] {-} coll($c13,$c13,$c11).
% 128.10/128.28 206 [hyper,164,2] {-} coll($c15,$c11,$c13).
% 128.10/128.28 207 [hyper,164,1] {-} coll($c11,$c13,$c15).
% 128.10/128.28 224 [hyper,165,128] {-} para($c12,$c12,$c11,$c11).
% 128.10/128.28 226 [hyper,165,70] {-} coll($c3,$c12,$c11).
% 128.10/128.28 227 [hyper,165,69] {-} cong($c3,$c12,$c3,$c11).
% 128.10/128.28 228 [hyper,165,11] {-} midp($c3,$c11,$c12).
% 128.10/128.28 272 [hyper,167,70] {-} coll($c2,$c12,$c15).
% 128.10/128.28 273 [hyper,167,69] {-} cong($c2,$c12,$c2,$c15).
% 128.10/128.28 274 [hyper,167,45,165] {-} para($c3,$c2,$c11,$c15).
% 128.10/128.28 275 [hyper,167,45,165] {-} para($c2,$c3,$c15,$c11).
% 128.10/128.28 276 [hyper,167,11] {-} midp($c2,$c15,$c12).
% 128.10/128.28 293 [hyper,169,128] {-} para($c11,$c11,$c15,$c15).
% 128.10/128.28 311 [hyper,169,70] {-} coll($c1,$c11,$c15).
% 128.10/128.28 312 [hyper,169,69] {-} cong($c1,$c11,$c1,$c15).
% 128.10/128.28 313 [hyper,169,11] {-} midp($c1,$c15,$c11).
% 128.10/128.28 326 [hyper,190,114] {-} coll($c11,$c11,$c12).
% 128.10/128.28 327 [hyper,190,1] {-} coll($c12,$c11,$c12).
% 128.10/128.28 341 [hyper,191,1] {-} coll($c14,$c12,$c11).
% 128.10/128.28 385 [hyper,205,114] {-} coll($c11,$c11,$c13).
% 128.10/128.28 386 [hyper,205,1] {-} coll($c13,$c11,$c13).
% 128.10/128.28 399 [hyper,206,114] {-} coll($c13,$c13,$c15).
% 128.10/128.28 400 [hyper,206,1] {-} coll($c15,$c13,$c11).
% 128.10/128.28 413 [hyper,207,114] {-} coll($c15,$c15,$c11).
% 128.10/128.28 444 [hyper,226,114] {-} coll($c11,$c11,$c3).
% 128.10/128.28 445 [hyper,226,2] {-} coll($c12,$c3,$c11).
% 128.10/128.28 446 [hyper,226,1] {-} coll($c3,$c11,$c12).
% 128.10/128.28 463 [hyper,228,128] {-} para($c11,$c11,$c12,$c12).
% 128.10/128.28 489 [hyper,228,69] {-} cong($c3,$c11,$c3,$c12).
% 128.10/128.28 490 [hyper,228,64,165] {-} para($c12,$c11,$c11,$c12).
% 128.10/128.28 491 [hyper,228,64,165] {-} para($c11,$c12,$c12,$c11).
% 128.10/128.28 493 [hyper,228,45,169] {-} para($c3,$c1,$c12,$c15).
% 128.10/128.28 506 [hyper,272,114] {-} coll($c15,$c15,$c2).
% 128.10/128.28 507 [hyper,272,2] {-} coll($c12,$c2,$c15).
% 128.10/128.28 508 [hyper,272,1] {-} coll($c2,$c15,$c12).
% 128.10/128.28 559 [hyper,276,69] {-} cong($c2,$c15,$c2,$c12).
% 128.10/128.28 560 [hyper,276,64,167] {-} para($c12,$c15,$c15,$c12).
% 128.10/128.28 574 [hyper,166,8] {-} perp($c3,$c10,$c12,$c11).
% 128.10/128.28 575 [hyper,166,7] {-} perp($c12,$c11,$c10,$c3).
% 128.10/128.28 592 [hyper,311,114] {-} coll($c15,$c15,$c1).
% 128.10/128.28 593 [hyper,311,2] {-} coll($c11,$c1,$c15).
% 128.10/128.28 594 [hyper,311,1] {-} coll($c1,$c15,$c11).
% 128.10/128.28 653 [hyper,313,69] {-} cong($c1,$c15,$c1,$c11).
% 128.10/128.28 654 [hyper,313,64,169] {-} para($c11,$c15,$c15,$c11).
% 128.10/128.28 655 [hyper,313,64,169] {-} para($c15,$c11,$c11,$c15).
% 128.10/128.28 656 [hyper,313,45,276] {-} para($c2,$c1,$c12,$c11).
% 128.10/128.28 670 [hyper,326,1] {-} coll($c11,$c12,$c11).
% 128.10/128.28 684 [hyper,327,114] {-} coll($c12,$c12,$c12).
% 128.10/128.28 699 [hyper,168,8] {-} perp($c2,$c10,$c12,$c15).
% 128.10/128.28 700 [hyper,168,7] {-} perp($c12,$c15,$c10,$c2).
% 128.10/128.28 731 [hyper,341,114] {-} coll($c11,$c11,$c14).
% 128.10/128.28 771 [hyper,170,8] {-} perp($c1,$c10,$c11,$c15).
% 128.10/128.28 772 [hyper,170,7] {-} perp($c11,$c15,$c10,$c1).
% 128.10/128.28 790 [hyper,385,3,326] {-} coll($c13,$c12,$c11).
% 128.10/128.28 818 [hyper,399,114] {-} coll($c15,$c15,$c13).
% 128.10/128.28 832 [hyper,400,114] {-} coll($c11,$c11,$c15).
% 128.10/128.28 850 [hyper,171,8] {-} perp($c11,$c9,$c11,$c10).
% 128.10/128.28 868 [hyper,413,1] {-} coll($c15,$c11,$c15).
% 128.10/128.28 894 [hyper,444,114] {-} coll($c3,$c3,$c11).
% 128.10/128.28 897 [hyper,444,1] {-} coll($c11,$c3,$c11).
% 128.10/128.28 910 [hyper,445,1] {-} coll($c12,$c11,$c3).
% 128.10/128.28 923 [hyper,173,8] {-} perp($c15,$c16,$f12($c15,$c8,$c7,$c16),$c15).
% 128.10/128.28 957 [hyper,446,114] {-} coll($c12,$c12,$c3).
% 128.10/128.28 958 [hyper,446,2] {-} coll($c11,$c3,$c12).
% 128.10/128.28 973 [hyper,506,3,413] {-} coll($c2,$c11,$c15).
% 128.10/128.28 974 [hyper,506,1] {-} coll($c15,$c2,$c15).
% 128.10/128.28 987 [hyper,507,114] {-} coll($c15,$c15,$c12).
% 128.10/128.28 1001 [hyper,508,114] {-} coll($c12,$c12,$c2).
% 128.10/128.28 1002 [hyper,508,2] {-} coll($c15,$c2,$c12).
% 128.10/128.28 1115 [hyper,592,114] {-} coll($c1,$c1,$c15).
% 128.10/128.28 1118 [hyper,592,1] {-} coll($c15,$c1,$c15).
% 128.10/128.28 1131 [hyper,593,1] {-} coll($c11,$c15,$c1).
% 128.10/128.28 1144 [hyper,594,114] {-} coll($c11,$c11,$c1).
% 128.10/128.28 1159 [hyper,670,114] {-} coll($c11,$c11,$c11).
% 128.10/128.28 1593 [hyper,790,1] {-} coll($c13,$c11,$c12).
% 128.10/128.28 1758 [hyper,832,3,444] {-} coll($c15,$c3,$c11).
% 128.10/128.28 1893 [hyper,894,1] {-} coll($c3,$c11,$c3).
% 128.10/128.28 2012 [hyper,897,2] {-} coll($c3,$c11,$c11).
% 128.10/128.28 2029 [hyper,910,3,327] {-} coll($c3,$c12,$c12).
% 128.10/128.28 2261 [hyper,987,3,592] {-} coll($c1,$c12,$c15).
% 128.10/128.28 2266 [hyper,987,1] {-} coll($c15,$c12,$c15).
% 128.10/128.28 2356 [hyper,1001,3,190] {-} coll($c11,$c2,$c12).
% 128.10/128.28 2357 [hyper,1001,3,957] {-} coll($c2,$c3,$c12).
% 128.10/128.28 2358 [hyper,1001,3,684] {-} coll($c2,$c12,$c12).
% 128.10/128.28 2373 [hyper,1002,3,974] {-} coll($c12,$c15,$c15).
% 128.10/128.28 2386 [hyper,1115,1] {-} coll($c1,$c15,$c1).
% 128.10/128.28 2500 [hyper,1131,3,164] {-} coll($c1,$c13,$c11).
% 128.10/128.28 2514 [hyper,1144,3,731] {-} coll($c14,$c1,$c11).
% 128.10/128.28 2515 [hyper,1144,3,444] {-} coll($c3,$c1,$c11).
% 128.10/128.28 2516 [hyper,1144,3,326] {-} coll($c12,$c1,$c11).
% 128.10/128.28 2518 [hyper,1144,3,444] {-} coll($c1,$c3,$c11).
% 128.10/128.28 2519 [hyper,1144,3,326] {-} coll($c1,$c12,$c11).
% 128.10/128.28 2520 [hyper,1144,1] {-} coll($c11,$c1,$c11).
% 128.10/128.28 2605 [hyper,1159,3,1144] {-} coll($c1,$c11,$c11).
% 128.10/128.28 2895 [hyper,1593,114] {-} coll($c12,$c12,$c13).
% 128.10/128.28 2899 [hyper,1593,3,386] {-} coll($c12,$c13,$c13).
% 128.10/128.28 3223 [hyper,1758,1] {-} coll($c15,$c11,$c3).
% 128.10/128.28 3403 [hyper,1893,114] {-} coll($c3,$c3,$c3).
% 128.10/128.28 3406 [hyper,1893,2] {-} coll($c11,$c3,$c3).
% 128.10/128.28 4112 [hyper,2357,1] {-} coll($c2,$c12,$c3).
% 128.10/128.28 4217 [hyper,2386,3,594] {-} coll($c1,$c11,$c1).
% 128.10/128.28 4445 [hyper,2514,1] {-} coll($c14,$c11,$c1).
% 128.10/128.28 4458 [hyper,2515,1] {-} coll($c3,$c11,$c1).
% 128.10/128.28 4553 [hyper,2518,1] {-} coll($c1,$c11,$c3).
% 128.10/128.28 5324 [hyper,3223,114] {-} coll($c3,$c3,$c15).
% 128.10/128.28 5327 [hyper,3223,3,868] {-} coll($c15,$c3,$c15).
% 128.10/128.28 5331 [hyper,3223,3,868] {-} coll($c3,$c15,$c15).
% 128.10/128.28 6244 [hyper,227,116] {-} circle($c3,$c12,$c11,$c11).
% 128.10/128.28 6246 [hyper,227,23] {-} cong($c3,$c12,$c11,$c3).
% 128.10/128.28 6563 [hyper,4112,114] {-} coll($c3,$c3,$c2).
% 128.10/128.28 6911 [hyper,4458,2] {-} coll($c11,$c3,$c1).
% 128.10/128.28 6961 [hyper,4553,114] {-} coll($c3,$c3,$c1).
% 128.10/128.28 6965 [hyper,4553,3,4217] {-} coll($c1,$c3,$c1).
% 128.10/128.28 9443 [hyper,275,4] {-} para($c2,$c3,$c11,$c15).
% 128.10/128.28 12108 [hyper,463,6,224] {-} para($c12,$c12,$c12,$c12).
% 128.10/128.28 12109 [hyper,463,6,224] {-} para($c11,$c11,$c11,$c11).
% 128.10/128.28 12251 [hyper,489,25,227] {-} cong($c3,$c12,$c3,$c12).
% 128.10/128.28 12252 [hyper,489,25,227] {-} cong($c3,$c11,$c3,$c11).
% 128.10/128.28 12390 [hyper,490,4] {-} para($c12,$c11,$c12,$c11).
% 128.10/128.28 12681 [hyper,491,6,490] {-} para($c11,$c12,$c11,$c12).
% 128.10/128.28 12959 [hyper,493,5] {-} para($c12,$c15,$c3,$c1).
% 128.10/128.28 13246 [hyper,559,25,273] {-} cong($c2,$c12,$c2,$c12).
% 128.10/128.28 13385 [hyper,560,4] {-} para($c12,$c15,$c12,$c15).
% 128.10/128.28 13529 [hyper,574,9,166] {-} para($c3,$c10,$c3,$c10).
% 128.10/128.28 13535 [hyper,575,8] {-} perp($c10,$c3,$c12,$c11).
% 128.10/128.28 13818 [hyper,653,25,312] {-} cong($c1,$c11,$c1,$c11).
% 128.10/128.28 13957 [hyper,654,4] {-} para($c11,$c15,$c11,$c15).
% 128.10/128.28 14095 [hyper,655,6,654] {-} para($c15,$c11,$c15,$c11).
% 128.10/128.28 14385 [hyper,700,9,699] {-} para($c2,$c10,$c10,$c2).
% 128.10/128.28 14395 [hyper,772,9,771] {-} para($c1,$c10,$c10,$c1).
% 128.10/128.28 14401 [hyper,850,9,171] {-} para($c11,$c10,$c11,$c10).
% 128.10/128.28 14402 [hyper,850,9,171] {-} para($c11,$c9,$c11,$c9).
% 128.10/128.28 14554 [hyper,6244,54,226] {-} perp($c12,$c11,$c11,$c11).
% 128.10/128.28 14557 [hyper,6246,24] {-} cong($c11,$c3,$c3,$c12).
% 128.10/128.28 15703 [hyper,12108,40] {-} eqangle($c12,$c12,A,B,$c12,$c12,A,B).
% 128.10/128.28 15840 [hyper,12109,40] {-} eqangle($c11,$c11,A,B,$c11,$c11,A,B).
% 128.10/128.28 16000 [hyper,12251,68,2029] {-} midp($c3,$c12,$c12).
% 128.10/128.28 16031 [hyper,16000,64,165] {-} para($c12,$c12,$c11,$c12).
% 128.10/128.28 16035 [hyper,16000,46,493,2261] {-} midp($c1,$c12,$c15).
% 128.10/128.28 16074 [hyper,16035,64,169] {-} para($c11,$c12,$c15,$c15).
% 128.10/128.28 16128 [hyper,12252,68,2012] {-} midp($c3,$c11,$c11).
% 128.10/128.28 16130 [hyper,12252,57,12251] {-} perp($c3,$c3,$c11,$c12).
% 128.10/128.28 16172 [hyper,16128,64,165] {-} para($c12,$c11,$c11,$c11).
% 128.10/128.28 16176 [hyper,16128,46,274,973] {-} midp($c2,$c11,$c15).
% 128.10/128.28 16222 [hyper,16176,65,654,293] {-} midp($c2,$c15,$c11).
% 128.10/128.28 16267 [hyper,16222,46,9443,5331] {-} midp($c3,$c15,$c15).
% 128.10/128.28 16268 [hyper,16222,45,313] {-} para($c1,$c2,$c11,$c11).
% 128.10/128.28 16323 [hyper,16267,64,228] {-} para($c11,$c15,$c12,$c15).
% 128.10/128.28 16324 [hyper,16267,64,165] {-} para($c12,$c15,$c11,$c15).
% 128.10/128.28 16325 [hyper,16267,64,228] {-} para($c15,$c11,$c15,$c12).
% 128.10/128.28 16326 [hyper,16267,64,165] {-} para($c15,$c12,$c15,$c11).
% 128.10/128.28 16471 [hyper,12390,40] {-} eqangle($c12,$c11,A,B,$c12,$c11,A,B).
% 128.10/128.28 16609 [hyper,12681,40] {-} eqangle($c11,$c12,A,B,$c11,$c12,A,B).
% 128.10/128.28 17030 [hyper,12959,6,493] {-} para($c3,$c1,$c3,$c1).
% 128.10/128.28 17732 [hyper,13246,68,2358] {-} midp($c2,$c12,$c12).
% 128.10/128.28 17738 [hyper,17732,129,12390] {-} midp($c2,$c11,$c11).
% 128.10/128.28 17801 [hyper,17732,46,656,2519] {-} midp($c1,$c12,$c11).
% 128.10/128.28 17948 [hyper,17801,65,490,224] {-} midp($c1,$c11,$c12).
% 128.10/128.28 17960 [hyper,17801,45,165] {-} para($c3,$c1,$c11,$c11).
% 128.10/128.28 18111 [hyper,17948,69] {-} cong($c1,$c11,$c1,$c12).
% 128.10/128.28 18574 [hyper,13529,67] {-} coll($c3,$c10,$c10).
% 128.10/128.28 18579 [hyper,18574,114] {-} coll($c10,$c10,$c3).
% 128.10/128.28 18582 [hyper,18579,114] {-} coll($c3,$c3,$c10).
% 128.10/128.28 18588 [hyper,18582,3,6961] {-} coll($c1,$c10,$c3).
% 128.10/128.28 18589 [hyper,18582,3,6563] {-} coll($c2,$c10,$c3).
% 128.10/128.28 18590 [hyper,18582,3,5324] {-} coll($c15,$c10,$c3).
% 128.10/128.28 18593 [hyper,18582,3,3403] {-} coll($c3,$c10,$c3).
% 128.10/128.28 18595 [hyper,18582,3,894] {-} coll($c11,$c10,$c3).
% 128.10/128.28 18596 [hyper,18582,3,6961] {-} coll($c10,$c1,$c3).
% 128.10/128.28 18598 [hyper,18582,3,5324] {-} coll($c10,$c15,$c3).
% 128.10/128.28 18607 [hyper,18588,1] {-} coll($c1,$c3,$c10).
% 128.10/128.28 18608 [hyper,18589,1] {-} coll($c2,$c3,$c10).
% 128.10/128.28 18609 [hyper,18590,1] {-} coll($c15,$c3,$c10).
% 128.10/128.28 18619 [hyper,18595,1] {-} coll($c11,$c3,$c10).
% 128.10/128.28 18652 [hyper,18596,1] {-} coll($c10,$c3,$c1).
% 128.10/128.28 18686 [hyper,18598,1] {-} coll($c10,$c3,$c15).
% 128.10/128.28 18783 [hyper,18607,114] {-} coll($c10,$c10,$c1).
% 128.10/128.28 18789 [hyper,18607,3,6965] {-} coll($c1,$c10,$c1).
% 128.10/128.28 18804 [hyper,18608,114] {-} coll($c10,$c10,$c2).
% 128.10/128.28 18832 [hyper,18609,3,5327] {-} coll($c15,$c10,$c15).
% 128.10/128.28 18912 [hyper,18619,114] {-} coll($c10,$c10,$c11).
% 128.10/128.28 18917 [hyper,18619,3,6911] {-} coll($c1,$c10,$c11).
% 128.10/128.28 18922 [hyper,18619,3,3406] {-} coll($c3,$c10,$c11).
% 128.10/128.28 18930 [hyper,18619,3,958] {-} coll($c10,$c12,$c11).
% 128.10/128.28 18935 [hyper,18652,114] {-} coll($c1,$c1,$c10).
% 128.10/128.28 19026 [hyper,18686,114] {-} coll($c15,$c15,$c10).
% 128.10/128.28 20697 [hyper,923,9,173] {-} para($c15,$c16,$c15,$c16).
% 128.10/128.28 20924 [hyper,13535,56,165] {-} cong($c10,$c12,$c10,$c11).
% 128.10/128.28 20925 [hyper,13535,9,575] {-} para($c10,$c3,$c10,$c3).
% 128.10/128.28 21113 [hyper,13818,68,2605] {-} midp($c1,$c11,$c11).
% 128.10/128.28 21119 [hyper,21113,129,12681] {-} midp($c1,$c12,$c12).
% 128.10/128.28 21204 [hyper,21119,129,13385] {-} midp($c1,$c15,$c15).
% 128.10/128.28 23557 [hyper,14401,129,21113] {-} midp($c1,$c10,$c10).
% 128.10/128.28 23558 [hyper,14401,129,17738] {-} midp($c2,$c10,$c10).
% 128.10/128.28 23559 [hyper,14401,129,16128] {-} midp($c3,$c10,$c10).
% 128.10/128.28 23736 [hyper,14401,4] {-} para($c11,$c10,$c10,$c11).
% 128.10/128.28 23850 [hyper,23557,69] {-} cong($c1,$c10,$c1,$c10).
% 128.10/128.28 23859 [hyper,23557,64,21204] {-} para($c10,$c15,$c10,$c15).
% 128.10/128.28 23860 [hyper,23557,64,21119] {-} para($c10,$c12,$c10,$c12).
% 128.10/128.28 23861 [hyper,23557,64,21113] {-} para($c10,$c11,$c10,$c11).
% 128.10/128.28 23868 [hyper,23557,46,14395,18783] {-} midp($c10,$c10,$c1).
% 128.10/128.28 23984 [hyper,23558,46,14385,18804] {-} midp($c10,$c10,$c2).
% 128.10/128.28 24239 [hyper,23868,11] {-} midp($c10,$c1,$c10).
% 128.10/128.28 24376 [hyper,23984,11] {-} midp($c10,$c2,$c10).
% 128.10/128.28 24934 [hyper,14402,129,21113] {-} midp($c1,$c9,$c9).
% 128.10/128.28 24941 [hyper,14402,67] {-} coll($c11,$c9,$c9).
% 128.10/128.28 25091 [hyper,24934,70] {-} coll($c1,$c9,$c9).
% 128.10/128.28 25430 [hyper,24941,114] {-} coll($c9,$c9,$c11).
% 128.10/128.28 25433 [hyper,25091,114] {-} coll($c9,$c9,$c1).
% 128.10/128.28 25441 [hyper,25430,114] {-} coll($c11,$c11,$c9).
% 128.10/128.28 25451 [hyper,25433,114] {-} coll($c1,$c1,$c9).
% 128.10/128.28 25482 [hyper,25441,3,832] {-} coll($c15,$c9,$c11).
% 128.10/128.28 25483 [hyper,25441,3,731] {-} coll($c14,$c9,$c11).
% 128.10/128.28 25491 [hyper,25441,3,832] {-} coll($c9,$c15,$c11).
% 128.10/128.28 25513 [hyper,25451,3,1115] {-} coll($c9,$c15,$c1).
% 128.10/128.28 25585 [hyper,25482,1] {-} coll($c15,$c11,$c9).
% 128.10/128.28 25586 [hyper,25483,1] {-} coll($c14,$c11,$c9).
% 128.10/128.28 25827 [hyper,25491,1] {-} coll($c9,$c11,$c15).
% 128.10/128.28 26653 [hyper,25585,2] {-} coll($c11,$c15,$c9).
% 128.10/128.28 26669 [hyper,25586,3,4445] {-} coll($c1,$c9,$c14).
% 128.10/128.28 26785 [hyper,25827,114] {-} coll($c15,$c15,$c9).
% 128.10/128.28 30467 [hyper,14554,9,13535] {-} para($c10,$c3,$c11,$c11).
% 128.10/128.28 30469 [hyper,14554,8] {-} perp($c11,$c11,$c12,$c11).
% 128.10/128.28 30471 [hyper,14557,25,6246] {-} cong($c11,$c3,$c11,$c3).
% 128.10/128.28 39612 [hyper,16130,8] {-} perp($c11,$c12,$c3,$c3).
% 128.10/128.28 57691 [hyper,18111,23] {-} cong($c1,$c11,$c12,$c1).
% 128.10/128.28 62201 [hyper,20697,129,21204] {-} midp($c1,$c16,$c16).
% 128.10/128.28 62203 [hyper,20697,129,16267] {-} midp($c3,$c16,$c16).
% 128.10/128.28 62208 [hyper,20697,67] {-} coll($c15,$c16,$c16).
% 128.10/128.28 62392 [hyper,62201,70] {-} coll($c1,$c16,$c16).
% 128.10/128.28 62404 [hyper,62201,64,24934] {-} para($c16,$c9,$c16,$c9).
% 128.10/128.28 62750 [hyper,62203,69] {-} cong($c3,$c16,$c3,$c16).
% 128.10/128.28 62755 [hyper,62208,114] {-} coll($c16,$c16,$c15).
% 128.10/128.28 62759 [hyper,62208,2] {-} coll($c16,$c15,$c16).
% 128.10/128.28 62763 [hyper,62392,114] {-} coll($c16,$c16,$c1).
% 128.10/128.28 62765 [hyper,62392,2] {-} coll($c16,$c1,$c16).
% 128.10/128.28 62772 [hyper,62755,114] {-} coll($c15,$c15,$c16).
% 128.10/128.28 62777 [hyper,62763,114] {-} coll($c1,$c1,$c16).
% 128.10/128.28 62797 [hyper,62772,3,26785] {-} coll($c9,$c16,$c15).
% 128.10/128.28 62806 [hyper,62772,3,413] {-} coll($c11,$c16,$c15).
% 128.10/128.28 62808 [hyper,62772,3,19026] {-} coll($c16,$c10,$c15).
% 128.10/128.28 62812 [hyper,62772,3,987] {-} coll($c16,$c12,$c15).
% 128.10/128.28 62813 [hyper,62772,3,818] {-} coll($c16,$c13,$c15).
% 128.10/128.28 62816 [hyper,62772,3,413] {-} coll($c16,$c11,$c15).
% 128.10/128.28 62830 [hyper,62777,3,18935] {-} coll($c16,$c10,$c1).
% 128.10/128.28 62895 [hyper,62797,1] {-} coll($c9,$c15,$c16).
% 128.10/128.28 62912 [hyper,62806,1] {-} coll($c11,$c15,$c16).
% 128.10/128.28 62914 [hyper,62808,1] {-} coll($c16,$c15,$c10).
% 128.10/128.28 62923 [hyper,62812,1] {-} coll($c16,$c15,$c12).
% 128.10/128.28 62925 [hyper,62813,1] {-} coll($c16,$c15,$c13).
% 128.10/128.28 62939 [hyper,62816,1] {-} coll($c16,$c15,$c11).
% 128.10/128.28 62960 [hyper,62830,1] {-} coll($c16,$c1,$c10).
% 128.10/128.28 63079 [hyper,62895,3,25513] {-} coll($c1,$c16,$c9).
% 128.10/128.28 63176 [hyper,62912,3,1131] {-} coll($c1,$c16,$c11).
% 128.10/128.28 63178 [hyper,62912,3,26653] {-} coll($c16,$c9,$c11).
% 128.10/128.28 63196 [hyper,62914,3,62759] {-} coll($c16,$c10,$c16).
% 128.10/128.28 63213 [hyper,62923,114] {-} coll($c12,$c12,$c16).
% 128.10/128.28 63226 [hyper,62923,3,62759] {-} coll($c16,$c12,$c16).
% 128.10/128.28 63240 [hyper,62925,3,62923] {-} coll($c13,$c12,$c16).
% 128.10/128.28 63246 [hyper,62939,114] {-} coll($c11,$c11,$c16).
% 128.10/128.28 63263 [hyper,62939,3,62759] {-} coll($c16,$c11,$c16).
% 128.10/128.28 63674 [hyper,20924,68,18930] {-} midp($c10,$c12,$c11).
% 128.10/128.28 63677 [hyper,63674,129,16324] {-} midp($c10,$c15,$c15).
% 128.10/128.28 63678 [hyper,63674,129,16172] {-} midp($c10,$c11,$c11).
% 128.10/128.28 63679 [hyper,63674,129,16031] {-} midp($c10,$c12,$c12).
% 128.10/128.28 63803 [hyper,63677,129,20697] {-} midp($c10,$c16,$c16).
% 128.10/128.28 63919 [hyper,63678,129,14402] {-} midp($c10,$c9,$c9).
% 128.10/128.28 63920 [hyper,63678,129,14401] {-} midp($c10,$c10,$c10).
% 128.10/128.28 64109 [hyper,63679,64,24239] {-} para($c1,$c12,$c10,$c12).
% 128.10/128.28 64759 [hyper,63803,64,24239] {-} para($c1,$c16,$c10,$c16).
% 128.10/128.28 64776 [hyper,63919,124] {-} para($c10,$c10,$c9,$c9).
% 128.10/128.28 65019 [hyper,20925,129,23559] {-} midp($c3,$c3,$c3).
% 128.10/128.28 65033 [hyper,20925,46,63920,18593] {-} midp($c3,$c10,$c3).
% 128.10/128.28 65182 [hyper,65019,129,17030] {-} midp($c3,$c1,$c1).
% 128.10/128.28 65655 [hyper,65033,46,17030,18789] {-} midp($c1,$c10,$c1).
% 128.10/128.28 66510 [hyper,65182,69] {-} cong($c3,$c1,$c3,$c1).
% 128.10/128.28 67971 [hyper,65655,11] {-} midp($c1,$c1,$c10).
% 128.10/128.28 69951 [hyper,23850,57,13818] {-} perp($c1,$c1,$c11,$c10).
% 128.10/128.28 70055 [hyper,23859,46,63920,18832] {-} midp($c15,$c10,$c15).
% 128.10/128.28 70057 [hyper,23859,46,24376,974] {-} midp($c15,$c2,$c15).
% 128.10/128.28 70058 [hyper,23859,46,24239,1118] {-} midp($c15,$c1,$c15).
% 128.10/128.28 70231 [hyper,70055,46,20697,63196] {-} midp($c16,$c10,$c16).
% 128.10/128.28 70602 [hyper,70057,46,16325,2356] {-} midp($c11,$c2,$c12).
% 128.10/128.28 70779 [hyper,70058,46,20697,62765] {-} midp($c16,$c1,$c16).
% 128.10/128.28 70784 [hyper,70058,46,16326,2516] {-} midp($c12,$c1,$c11).
% 128.10/128.28 70786 [hyper,70058,46,14095,2520] {-} midp($c11,$c1,$c11).
% 128.10/128.28 70967 [hyper,70231,11] {-} midp($c16,$c16,$c10).
% 128.10/128.28 76332 [hyper,70602,11] {-} midp($c11,$c12,$c2).
% 128.10/128.28 77287 [hyper,70779,69] {-} cong($c16,$c1,$c16,$c16).
% 128.10/128.28 78472 [hyper,70784,69] {-} cong($c12,$c1,$c12,$c11).
% 128.10/128.28 79494 [hyper,70967,128] {-} para($c16,$c16,$c10,$c10).
% 128.10/128.28 79751 [hyper,70967,69] {-} cong($c16,$c16,$c16,$c10).
% 128.10/128.28 100763 [hyper,30469,10,16268] {-} perp($c1,$c2,$c12,$c11).
% 128.10/128.28 100768 [hyper,30471,68,3406] {-} midp($c11,$c3,$c3).
% 128.10/128.28 100770 [hyper,100768,129,17030] {-} midp($c11,$c1,$c1).
% 128.10/128.28 100772 [hyper,100768,129,13529] {-} midp($c11,$c10,$c10).
% 128.10/128.28 101664 [hyper,100770,64,76332] {-} para($c1,$c12,$c1,$c2).
% 128.10/128.28 101700 [hyper,100770,45,67971] {-} para($c1,$c11,$c10,$c1).
% 128.10/128.28 102205 [hyper,100772,129,23861] {-} midp($c11,$c11,$c11).
% 128.10/128.28 102206 [hyper,100772,129,23860] {-} midp($c11,$c12,$c12).
% 128.10/128.28 102207 [hyper,100772,129,23859] {-} midp($c11,$c15,$c15).
% 128.10/128.28 102640 [hyper,100772,46,23736,18912] {-} midp($c10,$c10,$c11).
% 128.10/128.28 105460 [hyper,102205,46,13957,868] {-} midp($c15,$c11,$c15).
% 128.10/128.28 105865 [hyper,102206,64,70786] {-} para($c1,$c12,$c11,$c12).
% 128.10/128.28 105902 [hyper,102206,46,16323,2266] {-} midp($c15,$c12,$c15).
% 128.10/128.28 105937 [hyper,102207,129,20697] {-} midp($c11,$c16,$c16).
% 128.10/128.28 106379 [hyper,102207,46,16074,2373] {-} midp($c12,$c15,$c15).
% 128.10/128.28 109455 [hyper,102640,46,30467,18922] {-} midp($c3,$c10,$c11).
% 128.10/128.28 112912 [hyper,105460,46,20697,63263] {-} midp($c16,$c11,$c16).
% 128.10/128.28 116059 [hyper,105902,46,20697,63226] {-} midp($c16,$c12,$c16).
% 128.10/128.28 117417 [hyper,105937,69] {-} cong($c11,$c16,$c11,$c16).
% 128.10/128.28 117435 [hyper,105937,64,70786] {-} para($c16,$c1,$c16,$c11).
% 128.10/128.28 120271 [hyper,106379,129,20697] {-} midp($c12,$c16,$c16).
% 128.10/128.28 121685 [hyper,109455,46,17960,18917] {-} midp($c1,$c10,$c11).
% 128.10/128.28 125588 [hyper,112912,11] {-} midp($c16,$c16,$c11).
% 128.10/128.28 128637 [hyper,116059,11] {-} midp($c16,$c16,$c12).
% 128.10/128.28 132795 [hyper,120271,69] {-} cong($c12,$c16,$c12,$c16).
% 128.10/128.28 134400 [hyper,121685,45,23557] {-} para($c1,$c1,$c10,$c11).
% 128.10/128.28 143153 [hyper,125588,64,70779] {-} para($c1,$c16,$c16,$c11).
% 128.10/128.28 145419 [hyper,128637,64,116059] {-} para($c16,$c12,$c12,$c16).
% 128.10/128.28 206833 [hyper,62404,4] {-} para($c16,$c9,$c9,$c16).
% 128.10/128.28 221251 [hyper,15703,43,2895] {-} cyclic($c12,$c13,$c12,$c12).
% 128.10/128.28 221719 [hyper,15840,43,731] {-} cyclic($c11,$c14,$c11,$c11).
% 128.10/128.28 225800 [hyper,66510,57,62750] {-} perp($c3,$c3,$c16,$c1).
% 128.10/128.28 228963 [hyper,69951,9,171] {-} para($c1,$c1,$c11,$c9).
% 128.10/128.28 229784 [hyper,16471,43,63213] {-} cyclic($c11,$c16,$c12,$c12).
% 128.10/128.28 229788 [hyper,16471,43,2895] {-} cyclic($c11,$c13,$c12,$c12).
% 128.10/128.28 230235 [hyper,16609,43,63246] {-} cyclic($c12,$c16,$c11,$c11).
% 128.10/128.28 230240 [hyper,16609,43,731] {-} cyclic($c12,$c14,$c11,$c11).
% 128.10/128.28 230714 [hyper,78472,25,57691] {-} cong($c1,$c11,$c12,$c11).
% 128.10/128.28 231158 [hyper,79494,6,64776] {-} para($c16,$c16,$c9,$c9).
% 128.10/128.28 231165 [hyper,79751,25,77287] {-} cong($c16,$c1,$c16,$c10).
% 128.10/128.28 245729 [hyper,101664,10,100763] {-} perp($c1,$c12,$c12,$c11).
% 128.10/128.28 247835 [hyper,105865,10,39612] {-} perp($c1,$c12,$c3,$c3).
% 128.10/128.28 261787 [hyper,221251,15] {-} cyclic($c12,$c12,$c13,$c12).
% 128.10/128.28 261834 [hyper,221719,15] {-} cyclic($c11,$c11,$c14,$c11).
% 128.10/128.28 269759 [hyper,229784,15] {-} cyclic($c11,$c12,$c16,$c12).
% 128.10/128.28 269764 [hyper,229788,15] {-} cyclic($c11,$c12,$c13,$c12).
% 128.10/128.28 269973 [hyper,230235,15] {-} cyclic($c12,$c11,$c16,$c11).
% 128.10/128.28 269977 [hyper,230240,15] {-} cyclic($c12,$c11,$c14,$c11).
% 128.10/128.28 270317 [hyper,231165,68,62960] {-} midp($c16,$c1,$c10).
% 128.10/128.28 270328 [hyper,270317,129,64759] {-} midp($c16,$c16,$c16).
% 128.10/128.28 270329 [hyper,270317,129,64109] {-} midp($c16,$c12,$c12).
% 128.10/128.28 270337 [hyper,270317,65,134400,101700] {-} midp($c16,$c1,$c11).
% 128.10/128.28 271389 [hyper,270328,46,117435,63176] {-} midp($c1,$c16,$c11).
% 128.10/128.28 271467 [hyper,270329,46,145419,63213] {-} midp($c12,$c12,$c16).
% 128.10/128.28 281903 [hyper,271389,46,228963,63079] {-} midp($c1,$c16,$c9).
% 128.10/128.28 289086 [hyper,281903,65,206833,231158] {-} midp($c1,$c9,$c16).
% 128.10/128.28 289448 [hyper,289086,46,143153,63178] {-} midp($c16,$c9,$c11).
% 128.10/128.28 307277 [hyper,245729,53,270337] {-} cong($c1,$c16,$c12,$c16).
% 128.10/128.28 308674 [hyper,247835,9,225800] {-} para($c1,$c12,$c16,$c1).
% 128.10/128.28 316758 [hyper,261787,14] {-} cyclic($c12,$c12,$c12,$c13).
% 128.10/128.28 316946 [hyper,261834,14] {-} cyclic($c11,$c11,$c11,$c14).
% 128.10/128.28 327084 [hyper,269759,14] {-} cyclic($c11,$c12,$c12,$c16).
% 128.10/128.28 327088 [hyper,269764,14] {-} cyclic($c11,$c12,$c12,$c13).
% 128.10/128.28 327461 [hyper,269973,14] {-} cyclic($c12,$c11,$c11,$c16).
% 128.10/128.28 327466 [hyper,269977,14] {-} cyclic($c12,$c11,$c11,$c14).
% 128.10/128.28 344554 [hyper,307277,57,230714] {-} perp($c1,$c12,$c16,$c11).
% 128.10/128.28 348207 [hyper,308674,5] {-} para($c16,$c1,$c1,$c12).
% 128.10/128.28 353385 [hyper,316758,120] {-} cyclic($c12,$c12,$c13,$c13).
% 128.10/128.28 353407 [hyper,316946,120] {-} cyclic($c11,$c11,$c14,$c14).
% 128.10/128.28 356298 [hyper,327088,17,327084] {-} cyclic($c12,$c12,$c13,$c16).
% 128.10/128.28 356420 [hyper,327466,17,327461] {-} cyclic($c11,$c11,$c16,$c14).
% 128.10/128.28 367911 [hyper,348207,10,344554] {-} perp($c16,$c1,$c16,$c11).
% 128.10/128.28 371792 [hyper,353385,17,261787] {-} cyclic($c12,$c13,$c12,$c13).
% 128.10/128.28 371912 [hyper,353407,17,261834] {-} cyclic($c11,$c14,$c11,$c14).
% 128.10/128.28 378622 [hyper,371792,122,221251,15703] {-} cong($c12,$c13,$c12,$c13).
% 128.10/128.28 379072 [hyper,371912,122,221719,15840] {-} cong($c11,$c14,$c11,$c14).
% 128.10/128.28 390300 [hyper,378622,68,2899] {-} midp($c12,$c13,$c13).
% 128.10/128.28 390311 [hyper,378622,58,132795,356298] {-} perp($c13,$c12,$c12,$c16).
% 128.10/128.28 391803 [hyper,390300,64,271467] {-} para($c12,$c13,$c16,$c13).
% 128.10/128.28 391950 [hyper,390300,64,70784] {-} para($c13,$c1,$c13,$c11).
% 128.10/128.28 393627 [hyper,379072,58,117417,356420] {-} perp($c16,$c11,$c11,$c14).
% 128.10/128.28 402431 [hyper,390311,56,271467] {-} cong($c13,$c12,$c13,$c16).
% 128.10/128.28 406458 [hyper,393627,9,367911] {-} para($c16,$c1,$c11,$c14).
% 128.10/128.28 413043 [hyper,402431,68,63240] {-} midp($c13,$c12,$c16).
% 128.10/128.28 413050 [hyper,413043,129,391803] {-} midp($c13,$c13,$c13).
% 128.10/128.28 418265 [hyper,413050,46,391950,2500] {-} midp($c1,$c13,$c11).
% 128.10/128.28 495493 [hyper,418265,11] {-} midp($c1,$c11,$c13).
% 128.10/128.28 503747 [hyper,406458,46,289448,26669] {-} midp($c1,$c9,$c14).
% 128.10/128.28 504208 [hyper,503747,64,495493] {-} para($c9,$c11,$c14,$c13).
% 128.10/128.28 504209 [binary,504208.1,113.1] {-} $F.
% 128.10/128.28
% 128.10/128.28 % SZS output end Refutation
% 128.10/128.28 ------------ end of proof -------------
% 128.10/128.28
% 128.10/128.28
% 128.10/128.28 Search stopped by max_proofs option.
% 128.10/128.28
% 128.10/128.28
% 128.10/128.28 Search stopped by max_proofs option.
% 128.10/128.28
% 128.10/128.28 ============ end of search ============
% 128.10/128.28
% 128.10/128.28 That finishes the proof of the theorem.
% 128.10/128.28
% 128.10/128.28 Process 29454 finished Sat Jun 18 05:04:33 2022
%------------------------------------------------------------------------------