TSTP Solution File: GEO596+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO596+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n010.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 06:21:04 EDT 2022
% Result : Theorem 64.12s 64.34s
% Output : Refutation 64.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GEO596+1 : TPTP v8.1.0. Released v7.5.0.
% 0.02/0.09 % Command : sos-script %s
% 0.08/0.29 % Computer : n010.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 600
% 0.08/0.29 % DateTime : Sat Jun 18 13:29:23 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.13/0.32 ----- Otter 3.2, August 2001 -----
% 0.13/0.32 The process was started by sandbox on n010.cluster.edu,
% 0.13/0.32 Sat Jun 18 13:29:23 2022
% 0.13/0.32 The command was "./sos". The process ID is 5201.
% 0.13/0.32
% 0.13/0.32 set(prolog_style_variables).
% 0.13/0.32 set(auto).
% 0.13/0.32 dependent: set(auto1).
% 0.13/0.32 dependent: set(process_input).
% 0.13/0.32 dependent: clear(print_kept).
% 0.13/0.32 dependent: clear(print_new_demod).
% 0.13/0.32 dependent: clear(print_back_demod).
% 0.13/0.32 dependent: clear(print_back_sub).
% 0.13/0.32 dependent: set(control_memory).
% 0.13/0.32 dependent: assign(max_mem, 12000).
% 0.13/0.32 dependent: assign(pick_given_ratio, 4).
% 0.13/0.32 dependent: assign(stats_level, 1).
% 0.13/0.32 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.32 dependent: assign(sos_limit, 5000).
% 0.13/0.32 dependent: assign(max_weight, 60).
% 0.13/0.32 clear(print_given).
% 0.13/0.32
% 0.13/0.32 formula_list(usable).
% 0.13/0.32
% 0.13/0.32 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.32
% 0.13/0.32 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.32 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.32 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.32 clauses in usable.
% 0.13/0.32
% 0.13/0.32 dependent: set(knuth_bendix).
% 0.13/0.32 dependent: set(para_from).
% 0.13/0.32 dependent: set(para_into).
% 0.13/0.32 dependent: clear(para_from_right).
% 0.13/0.32 dependent: clear(para_into_right).
% 0.13/0.32 dependent: set(para_from_vars).
% 0.13/0.32 dependent: set(eq_units_both_ways).
% 0.13/0.32 dependent: set(dynamic_demod_all).
% 0.13/0.32 dependent: set(dynamic_demod).
% 0.13/0.32 dependent: set(order_eq).
% 0.13/0.32 dependent: set(back_demod).
% 0.13/0.32 dependent: set(lrpo).
% 0.13/0.32 dependent: set(hyper_res).
% 0.13/0.32 dependent: set(unit_deletion).
% 0.13/0.32 dependent: set(factor).
% 0.13/0.32
% 0.13/0.32 ------------> process usable:
% 0.13/0.32 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).
% 0.13/0.32
% 0.13/0.32 ------------> process sos:
% 0.13/0.32 Following clause subsumed by 165 during input processing: 0 [copy,165,flip.1] {-} A=A.
% 0.13/0.32 165 back subsumes 146.
% 0.13/0.32 165 back subsumes 145.
% 0.13/0.32 165 back subsumes 144.
% 0.13/0.32 165 back subsumes 143.
% 0.13/0.32
% 0.13/0.32 ======= end of input processing =======
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 Failed to model usable list: disabling FINDER
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 -------------- Softie stats --------------
% 0.13/0.37
% 0.13/0.37 UPDATE_STOP: 300
% 0.13/0.37 SFINDER_TIME_LIMIT: 2
% 0.13/0.37 SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.37 number of clauses in intial UL: 154
% 0.13/0.37 number of clauses initially in problem: 161
% 0.13/0.37 percentage of clauses intially in UL: 95
% 0.13/0.37 percentage of distinct symbols occuring in initial UL: 90
% 0.13/0.37 percent of all initial clauses that are short: 100
% 0.13/0.37 absolute distinct symbol count: 40
% 0.13/0.37 distinct predicate count: 12
% 0.13/0.37 distinct function count: 20
% 0.13/0.37 distinct constant count: 8
% 0.13/0.37
% 0.13/0.37 ---------- no more Softie stats ----------
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 =========== start of search ===========
% 9.96/10.18
% 9.96/10.18
% 9.96/10.18 Changing weight limit from 60 to 58.
% 9.96/10.18
% 9.96/10.18 Resetting weight limit to 58 after 245 givens.
% 9.96/10.18
% 10.88/11.12
% 10.88/11.12
% 10.88/11.12 Changing weight limit from 58 to 57.
% 10.88/11.12
% 10.88/11.12 Resetting weight limit to 57 after 250 givens.
% 10.88/11.12
% 11.33/11.56
% 11.33/11.56
% 11.33/11.56 Changing weight limit from 57 to 56.
% 11.33/11.56
% 11.33/11.56 Resetting weight limit to 56 after 255 givens.
% 11.33/11.56
% 13.83/14.07
% 13.83/14.07
% 13.83/14.07 Changing weight limit from 56 to 55.
% 13.83/14.07
% 13.83/14.07 Resetting weight limit to 55 after 270 givens.
% 13.83/14.07
% 16.63/16.86
% 16.63/16.86
% 16.63/16.86 Changing weight limit from 55 to 52.
% 16.63/16.86
% 16.63/16.86 Resetting weight limit to 52 after 280 givens.
% 16.63/16.86
% 18.81/19.02
% 18.81/19.02
% 18.81/19.02 Changing weight limit from 52 to 51.
% 18.81/19.02
% 18.81/19.02 Resetting weight limit to 51 after 285 givens.
% 18.81/19.02
% 20.34/20.62
% 20.34/20.62
% 20.34/20.62 Changing weight limit from 51 to 50.
% 20.34/20.62
% 20.34/20.62 Resetting weight limit to 50 after 290 givens.
% 20.34/20.62
% 22.28/22.54
% 22.28/22.54
% 22.28/22.54 Changing weight limit from 50 to 49.
% 22.28/22.54
% 22.28/22.54 Modelling stopped after 300 given clauses and 0.00 seconds
% 22.28/22.54
% 22.28/22.54
% 22.28/22.54 Resetting weight limit to 49 after 315 givens.
% 22.28/22.54
% 23.19/23.40
% 23.19/23.40
% 23.19/23.40 Changing weight limit from 49 to 46.
% 23.19/23.40
% 23.19/23.40 Resetting weight limit to 46 after 325 givens.
% 23.19/23.40
% 23.49/23.76
% 23.49/23.76
% 23.49/23.76 Changing weight limit from 46 to 45.
% 23.49/23.76
% 23.49/23.76 Resetting weight limit to 45 after 330 givens.
% 23.49/23.76
% 24.08/24.29
% 24.08/24.29
% 24.08/24.29 Changing weight limit from 45 to 35.
% 24.08/24.29
% 24.08/24.29 Resetting weight limit to 35 after 345 givens.
% 24.08/24.29
% 24.18/24.39
% 24.18/24.39
% 24.18/24.39 Changing weight limit from 35 to 34.
% 24.18/24.39
% 24.18/24.39 Resetting weight limit to 34 after 350 givens.
% 24.18/24.39
% 24.24/24.51
% 24.24/24.51
% 24.24/24.51 Changing weight limit from 34 to 31.
% 24.24/24.51
% 24.24/24.51 Resetting weight limit to 31 after 355 givens.
% 24.24/24.51
% 24.37/24.65
% 24.37/24.65
% 24.37/24.65 Changing weight limit from 31 to 30.
% 24.37/24.65
% 24.37/24.65 Resetting weight limit to 30 after 360 givens.
% 24.37/24.65
% 27.11/27.37
% 27.11/27.37
% 27.11/27.37 Changing weight limit from 30 to 29.
% 27.11/27.37
% 27.11/27.37 Resetting weight limit to 29 after 475 givens.
% 27.11/27.37
% 27.70/27.96
% 27.70/27.96
% 27.70/27.96 Changing weight limit from 29 to 26.
% 27.70/27.96
% 27.70/27.96 Resetting weight limit to 26 after 680 givens.
% 27.70/27.96
% 27.76/27.97
% 27.76/27.97
% 27.76/27.97 Changing weight limit from 26 to 18.
% 27.76/27.97
% 27.76/27.97 Resetting weight limit to 18 after 695 givens.
% 27.76/27.97
% 27.76/28.04
% 27.76/28.04
% 27.76/28.04 Changing weight limit from 18 to 17.
% 27.76/28.04
% 27.76/28.04 Resetting weight limit to 17 after 760 givens.
% 27.76/28.04
% 27.76/28.05
% 27.76/28.05
% 27.76/28.05 Changing weight limit from 17 to 16.
% 27.76/28.05
% 27.76/28.05 Resetting weight limit to 16 after 770 givens.
% 27.76/28.05
% 27.84/28.07
% 27.84/28.07
% 27.84/28.07 Changing weight limit from 16 to 14.
% 27.84/28.07
% 27.84/28.07 Resetting weight limit to 14 after 810 givens.
% 27.84/28.07
% 28.18/28.41
% 28.18/28.41
% 28.18/28.41 Changing weight limit from 14 to 13.
% 28.18/28.41
% 28.18/28.41 Resetting weight limit to 13 after 1325 givens.
% 28.18/28.41
% 28.21/28.45
% 28.21/28.45
% 28.21/28.45 Changing weight limit from 13 to 12.
% 28.21/28.45
% 28.21/28.45 Resetting weight limit to 12 after 1370 givens.
% 28.21/28.45
% 28.51/28.73
% 28.51/28.73
% 28.51/28.73 Changing weight limit from 12 to 10.
% 28.51/28.73
% 28.51/28.73 Resetting weight limit to 10 after 1810 givens.
% 28.51/28.73
% 30.15/30.38
% 30.15/30.38
% 30.15/30.38 Changing weight limit from 10 to 9.
% 30.15/30.38
% 30.15/30.38 Resetting weight limit to 9 after 2760 givens.
% 30.15/30.38
% 42.60/42.85
% 42.60/42.85
% 42.60/42.85 Changing weight limit from 9 to 8.
% 42.60/42.85
% 42.60/42.85 Resetting weight limit to 8 after 10590 givens.
% 42.60/42.85
% 47.02/47.24
% 47.02/47.24
% 47.02/47.24 Changing weight limit from 8 to 9.
% 47.02/47.24
% 47.02/47.24 Resetting weight limit to 9 after 14675 givens.
% 47.02/47.24
% 47.02/47.26
% 47.02/47.26
% 47.02/47.26 Changing weight limit from 9 to 10.
% 47.02/47.26
% 47.02/47.26 Resetting weight limit to 10 after 14680 givens.
% 47.02/47.26
% 47.02/47.27
% 47.02/47.27
% 47.02/47.27 Changing weight limit from 10 to 11.
% 47.02/47.27
% 47.02/47.27 Resetting weight limit to 11 after 14685 givens.
% 47.02/47.27
% 47.02/47.29
% 47.02/47.29
% 47.02/47.29 Changing weight limit from 11 to 12.
% 47.02/47.29
% 47.02/47.29 Resetting weight limit to 12 after 14690 givens.
% 47.02/47.29
% 47.02/47.30
% 47.02/47.30
% 47.02/47.30 Changing weight limit from 12 to 13.
% 47.02/47.30
% 47.02/47.30 Resetting weight limit to 13 after 14695 givens.
% 47.02/47.30
% 47.02/47.31
% 47.02/47.31
% 47.02/47.31 Changing weight limit from 13 to 14.
% 47.02/47.31
% 47.02/47.31 Resetting weight limit to 14 after 14700 givens.
% 47.02/47.31
% 47.11/47.34
% 47.11/47.34
% 47.11/47.34 Changing weight limit from 14 to 15.
% 47.11/47.34
% 47.11/47.34 Resetting weight limit to 15 after 14705 givens.
% 47.11/47.34
% 47.11/47.39
% 47.11/47.39
% 47.11/47.39 Changing weight limit from 15 to 16.
% 47.11/47.39
% 47.11/47.39 Resetting weight limit to 16 after 14710 givens.
% 47.11/47.39
% 47.18/47.40
% 47.18/47.40
% 47.18/47.40 Changing weight limit from 16 to 17.
% 47.18/47.40
% 47.18/47.40 Resetting weight limit to 17 after 14715 givens.
% 47.18/47.40
% 47.18/47.41
% 47.18/47.41
% 47.18/47.41 Changing weight limit from 17 to 18.
% 47.18/47.41
% 47.18/47.41 Resetting weight limit to 18 after 14720 givens.
% 47.18/47.41
% 56.78/57.07
% 56.78/57.07
% 56.78/57.07 Changing weight limit from 18 to 14.
% 56.78/57.07
% 56.78/57.07 Resetting weight limit to 14 after 14725 givens.
% 56.78/57.07
% 59.90/60.17
% 59.90/60.17
% 59.90/60.17 Changing weight limit from 14 to 15.
% 59.90/60.17
% 59.90/60.17 Resetting weight limit to 15 after 15330 givens.
% 59.90/60.17
% 59.90/60.20
% 59.90/60.20
% 59.90/60.20 Changing weight limit from 15 to 16.
% 59.90/60.20
% 59.90/60.20 Resetting weight limit to 16 after 15335 givens.
% 59.90/60.20
% 60.01/60.25
% 60.01/60.25
% 60.01/60.25 Changing weight limit from 16 to 17.
% 60.01/60.25
% 60.01/60.25 Resetting weight limit to 17 after 15340 givens.
% 60.01/60.25
% 60.18/60.45
% 60.18/60.45
% 60.18/60.45 Changing weight limit from 17 to 18.
% 60.18/60.45
% 60.18/60.45 Resetting weight limit to 18 after 15345 givens.
% 60.18/60.45
% 60.18/60.48
% 60.18/60.48
% 60.18/60.48 Changing weight limit from 18 to 19.
% 60.18/60.48
% 60.18/60.48 Resetting weight limit to 19 after 15350 givens.
% 60.18/60.48
% 60.27/60.48
% 60.27/60.48
% 60.27/60.48 Changing weight limit from 19 to 20.
% 60.27/60.48
% 60.27/60.48 Resetting weight limit to 20 after 15355 givens.
% 60.27/60.48
% 60.27/60.49
% 60.27/60.49
% 60.27/60.49 Changing weight limit from 20 to 21.
% 60.27/60.49
% 60.27/60.49 Resetting weight limit to 21 after 15360 givens.
% 60.27/60.49
% 60.27/60.49
% 60.27/60.49
% 60.27/60.49 Changing weight limit from 21 to 22.
% 60.27/60.49
% 60.27/60.49 Resetting weight limit to 22 after 15365 givens.
% 60.27/60.49
% 60.27/60.49
% 60.27/60.49
% 60.27/60.49 Changing weight limit from 22 to 23.
% 60.27/60.49
% 60.27/60.49 Resetting weight limit to 23 after 15370 givens.
% 60.27/60.49
% 60.27/60.50
% 60.27/60.50
% 60.27/60.50 Changing weight limit from 23 to 24.
% 60.27/60.50
% 60.27/60.50 Resetting weight limit to 24 after 15375 givens.
% 60.27/60.50
% 60.29/60.50
% 60.29/60.50
% 60.29/60.50 Changing weight limit from 24 to 25.
% 60.29/60.50
% 60.29/60.50 Resetting weight limit to 25 after 15380 givens.
% 60.29/60.50
% 60.29/60.50
% 60.29/60.50
% 60.29/60.50 Changing weight limit from 25 to 26.
% 60.29/60.50
% 60.29/60.50 Resetting weight limit to 26 after 15385 givens.
% 60.29/60.50
% 60.29/60.51
% 60.29/60.51
% 60.29/60.51 Changing weight limit from 26 to 27.
% 60.29/60.51
% 60.29/60.51 Resetting weight limit to 27 after 15390 givens.
% 60.29/60.51
% 63.19/63.41
% 63.19/63.41
% 63.19/63.41 Changing weight limit from 27 to 28.
% 63.19/63.41
% 63.19/63.41 Resetting weight limit to 28 after 15510 givens.
% 63.19/63.41
% 63.19/63.42
% 63.19/63.42
% 63.19/63.42 Changing weight limit from 28 to 29.
% 63.19/63.42
% 63.19/63.42 Resetting weight limit to 29 after 15515 givens.
% 63.19/63.42
% 63.19/63.42
% 63.19/63.42
% 63.19/63.42 Changing weight limit from 29 to 30.
% 63.19/63.42
% 63.19/63.42 Resetting weight limit to 30 after 15520 givens.
% 63.19/63.42
% 63.19/63.43
% 63.19/63.43
% 63.19/63.43 Changing weight limit from 30 to 31.
% 63.19/63.43
% 63.19/63.43 Resetting weight limit to 31 after 15525 givens.
% 63.19/63.43
% 63.19/63.44
% 63.19/63.44
% 63.19/63.44 Changing weight limit from 31 to 32.
% 63.19/63.44
% 63.19/63.44 Resetting weight limit to 32 after 15530 givens.
% 63.19/63.44
% 64.02/64.25
% 64.02/64.25
% 64.02/64.25 Changing weight limit from 32 to 33.
% 64.02/64.25
% 64.02/64.25 Resetting weight limit to 33 after 15535 givens.
% 64.02/64.25
% 64.02/64.27
% 64.02/64.27
% 64.02/64.27 Changing weight limit from 33 to 34.
% 64.02/64.27
% 64.02/64.27 Resetting weight limit to 34 after 15540 givens.
% 64.02/64.27
% 64.02/64.28
% 64.02/64.28
% 64.02/64.28 Changing weight limit from 34 to 35.
% 64.02/64.28
% 64.02/64.28 Resetting weight limit to 35 after 15545 givens.
% 64.02/64.28
% 64.02/64.29
% 64.02/64.29
% 64.02/64.29 Changing weight limit from 35 to 36.
% 64.02/64.29
% 64.02/64.29 Resetting weight limit to 36 after 15550 givens.
% 64.02/64.29
% 64.02/64.31
% 64.02/64.31
% 64.02/64.31 Changing weight limit from 36 to 37.
% 64.02/64.31
% 64.02/64.31 Resetting weight limit to 37 after 15555 givens.
% 64.02/64.31
% 64.02/64.32
% 64.02/64.32
% 64.02/64.32 Changing weight limit from 37 to 38.
% 64.02/64.32
% 64.02/64.32 Resetting weight limit to 38 after 15560 givens.
% 64.02/64.32
% 64.12/64.34
% 64.12/64.34
% 64.12/64.34 Changing weight limit from 38 to 39.
% 64.12/64.34
% 64.12/64.34 Resetting weight limit to 39 after 15565 givens.
% 64.12/64.34
% 64.12/64.34
% 64.12/64.34
% 64.12/64.34 Changing weight limit from 39 to 40.
% 64.12/64.34
% 64.12/64.34 Resetting weight limit to 40 after 15570 givens.
% 64.12/64.34
% 64.12/64.34
% 64.12/64.34 -- HEY sandbox, WE HAVE A PROOF!! --
% 64.12/64.34
% 64.12/64.34 ----> UNIT CONFLICT at 62.95 sec ----> 220162 [binary,220161.1,113.1] {-} $F.
% 64.12/64.34
% 64.12/64.34 Length of proof is 248. Level of proof is 39.
% 64.12/64.34
% 64.12/64.34 ---------------- PROOF ----------------
% 64.12/64.34 % SZS status Theorem
% 64.12/64.34 % SZS output start Refutation
% 64.12/64.34
% 64.12/64.34 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 64.12/64.34 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 64.12/64.34 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 64.12/64.34 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 64.12/64.34 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 64.12/64.34 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 64.12/64.34 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 64.12/64.34 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 64.12/64.34 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 64.12/64.34 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 64.12/64.34 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 64.12/64.34 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 64.12/64.34 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 64.12/64.34 19 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(C,D,A,B,G,H,E,F).
% 64.12/64.34 22 [] {+} -eqangle(A,B,C,D,E,F,G,H)| -eqangle(E,F,G,H,I,J,K,L)|eqangle(A,B,C,D,I,J,K,L).
% 64.12/64.34 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 64.12/64.34 39 [] {+} -eqangle(A,B,C,D,E,F,C,D)|para(A,B,E,F).
% 64.12/64.34 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 64.12/64.34 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 64.12/64.34 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).
% 64.12/64.34 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 64.12/64.34 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 64.12/64.34 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 64.12/64.34 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 64.12/64.34 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 64.12/64.34 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 64.12/64.34 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 64.12/64.34 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 64.12/64.34 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 64.12/64.34 99 [] {+} -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 64.12/64.34 113 [] {+} -eqangle($c2,$c3,$c3,$c7,$c3,$c6,$c6,$c7).
% 64.12/64.34 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 64.12/64.34 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 64.12/64.34 123 [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).
% 64.12/64.34 124 [factor,45.1.2] {+} -midp(A,B,C)|para(A,A,C,C).
% 64.12/64.34 125 [factor,57.1.2] {+} -cong(A,B,C,B)|perp(A,C,B,B).
% 64.12/64.34 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 64.12/64.34 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 64.12/64.34 159 [] {-} circle($c5,$c8,$c7,$c6).
% 64.12/64.34 161 [] {-} coll($c3,$c8,$c7).
% 64.12/64.34 162 [] {-} coll($c3,$c6,$c4).
% 64.12/64.34 163 [] {-} para($c8,$c4,$c2,$c3).
% 64.12/64.34 164 [] {-} coll($c2,$c7,$c6).
% 64.12/64.34 166 [hyper,159,99] {-} perp($f12($c8,$c7,$c6,$c5),$c8,$c8,$c5).
% 64.12/64.34 183 [hyper,161,114] {-} coll($c7,$c7,$c3).
% 64.12/64.34 184 [hyper,161,2] {-} coll($c8,$c3,$c7).
% 64.12/64.34 185 [hyper,161,1] {-} coll($c3,$c7,$c8).
% 64.12/64.34 198 [hyper,162,114] {-} coll($c4,$c4,$c3).
% 64.12/64.34 199 [hyper,162,2] {-} coll($c6,$c3,$c4).
% 64.12/64.34 200 [hyper,162,1] {-} coll($c3,$c4,$c6).
% 64.12/64.34 213 [hyper,164,114] {-} coll($c6,$c6,$c2).
% 64.12/64.34 215 [hyper,164,1] {-} coll($c2,$c6,$c7).
% 64.12/64.34 245 [hyper,183,114] {-} coll($c3,$c3,$c7).
% 64.12/64.34 246 [hyper,183,1] {-} coll($c7,$c3,$c7).
% 64.12/64.34 259 [hyper,184,114] {-} coll($c7,$c7,$c8).
% 64.12/64.34 260 [hyper,184,1] {-} coll($c8,$c7,$c3).
% 64.12/64.34 273 [hyper,185,114] {-} coll($c8,$c8,$c3).
% 64.12/64.34 287 [hyper,198,114] {-} coll($c3,$c3,$c4).
% 64.12/64.34 288 [hyper,198,1] {-} coll($c4,$c3,$c4).
% 64.12/64.34 302 [hyper,163,5] {-} para($c2,$c3,$c8,$c4).
% 64.12/64.34 303 [hyper,163,4] {-} para($c8,$c4,$c3,$c2).
% 64.12/64.34 320 [hyper,199,114] {-} coll($c4,$c4,$c6).
% 64.12/64.34 321 [hyper,199,1] {-} coll($c6,$c4,$c3).
% 64.12/64.34 334 [hyper,200,114] {-} coll($c6,$c6,$c3).
% 64.12/64.34 335 [hyper,200,2] {-} coll($c4,$c3,$c6).
% 64.12/64.34 349 [hyper,213,1] {-} coll($c6,$c2,$c6).
% 64.12/64.34 376 [hyper,166,8] {-} perp($c8,$c5,$f12($c8,$c7,$c6,$c5),$c8).
% 64.12/64.34 410 [hyper,215,114] {-} coll($c7,$c7,$c2).
% 64.12/64.34 424 [hyper,245,1] {-} coll($c3,$c7,$c3).
% 64.12/64.34 437 [hyper,246,114] {-} coll($c7,$c7,$c7).
% 64.12/64.34 451 [hyper,259,114] {-} coll($c8,$c8,$c7).
% 64.12/64.34 565 [hyper,260,114] {-} coll($c3,$c3,$c8).
% 64.12/64.34 579 [hyper,273,1] {-} coll($c8,$c3,$c8).
% 64.12/64.34 605 [hyper,287,3,245] {-} coll($c7,$c4,$c3).
% 64.12/64.34 606 [hyper,287,3,245] {-} coll($c4,$c7,$c3).
% 64.12/64.34 607 [hyper,287,1] {-} coll($c3,$c4,$c3).
% 64.12/64.34 734 [hyper,320,114] {-} coll($c6,$c6,$c4).
% 64.12/64.34 748 [hyper,321,114] {-} coll($c3,$c3,$c6).
% 64.12/64.34 762 [hyper,334,3,213] {-} coll($c2,$c3,$c6).
% 64.12/64.34 763 [hyper,334,3,213] {-} coll($c3,$c2,$c6).
% 64.12/64.34 764 [hyper,334,1] {-} coll($c6,$c3,$c6).
% 64.12/64.34 877 [hyper,335,3,288] {-} coll($c6,$c4,$c4).
% 64.12/64.34 1049 [hyper,410,3,259] {-} coll($c2,$c8,$c7).
% 64.12/64.34 1078 [hyper,424,3,185] {-} coll($c8,$c3,$c3).
% 64.12/64.34 1173 [hyper,437,3,410] {-} coll($c2,$c7,$c7).
% 64.12/64.34 1303 [hyper,565,3,287] {-} coll($c4,$c8,$c3).
% 64.12/64.34 1304 [hyper,565,3,287] {-} coll($c8,$c4,$c3).
% 64.12/64.34 1329 [hyper,579,114] {-} coll($c8,$c8,$c8).
% 64.12/64.34 1436 [hyper,605,1] {-} coll($c7,$c3,$c4).
% 64.12/64.34 1449 [hyper,606,1] {-} coll($c4,$c3,$c7).
% 64.12/64.34 1462 [hyper,607,3,200] {-} coll($c6,$c3,$c3).
% 64.12/64.34 1463 [hyper,607,3,200] {-} coll($c3,$c6,$c3).
% 64.12/64.34 1585 [hyper,734,1] {-} coll($c6,$c4,$c6).
% 64.12/64.34 1610 [hyper,748,3,565] {-} coll($c8,$c6,$c3).
% 64.12/64.34 1612 [hyper,748,3,565] {-} coll($c6,$c8,$c3).
% 64.12/64.34 1698 [hyper,762,1] {-} coll($c2,$c6,$c3).
% 64.12/64.34 1711 [hyper,763,1] {-} coll($c3,$c6,$c2).
% 64.12/64.34 2114 [hyper,1049,1] {-} coll($c2,$c7,$c8).
% 64.12/64.34 2316 [hyper,1303,1] {-} coll($c4,$c3,$c8).
% 64.12/64.34 2329 [hyper,1304,1] {-} coll($c8,$c3,$c4).
% 64.12/64.34 2422 [hyper,1436,3,246] {-} coll($c7,$c4,$c7).
% 64.12/64.34 2724 [hyper,1610,1] {-} coll($c8,$c3,$c6).
% 64.12/64.34 2749 [hyper,1612,1] {-} coll($c6,$c3,$c8).
% 64.12/64.34 2832 [hyper,1698,114] {-} coll($c3,$c3,$c2).
% 64.12/64.34 2853 [hyper,1711,3,1463] {-} coll($c2,$c3,$c3).
% 64.12/64.34 3239 [hyper,2114,114] {-} coll($c8,$c8,$c2).
% 64.12/64.34 3270 [hyper,2316,114] {-} coll($c8,$c8,$c4).
% 64.12/64.34 3272 [hyper,2316,3,1449] {-} coll($c7,$c8,$c4).
% 64.12/64.34 3273 [hyper,2316,3,335] {-} coll($c6,$c8,$c4).
% 64.12/64.34 3332 [hyper,2329,3,579] {-} coll($c8,$c4,$c8).
% 64.12/64.34 3334 [hyper,2329,3,579] {-} coll($c4,$c8,$c8).
% 64.12/64.34 3734 [hyper,2724,114] {-} coll($c6,$c6,$c8).
% 64.12/64.34 3736 [hyper,2724,3,1078] {-} coll($c3,$c6,$c8).
% 64.12/64.34 3754 [hyper,2749,114] {-} coll($c8,$c8,$c6).
% 64.12/64.34 3756 [hyper,2749,3,764] {-} coll($c6,$c8,$c6).
% 64.12/64.34 6019 [hyper,302,6,163] {-} para($c8,$c4,$c8,$c4).
% 64.12/64.34 6021 [hyper,302,4] {-} para($c2,$c3,$c4,$c8).
% 64.12/64.34 6117 [hyper,303,6,302] {-} para($c2,$c3,$c3,$c2).
% 64.12/64.34 6118 [hyper,303,5] {-} para($c3,$c2,$c8,$c4).
% 64.12/64.34 6213 [hyper,6019,40] {-} eqangle($c8,$c4,A,B,$c8,$c4,A,B).
% 64.12/64.34 6214 [hyper,6019,4] {-} para($c8,$c4,$c4,$c8).
% 64.12/64.34 6449 [hyper,6021,5] {-} para($c4,$c8,$c2,$c3).
% 64.12/64.34 6641 [hyper,6118,6,303] {-} para($c3,$c2,$c3,$c2).
% 64.12/64.34 6772 [hyper,6214,5] {-} para($c4,$c8,$c8,$c4).
% 64.12/64.34 6869 [hyper,6449,6,6021] {-} para($c4,$c8,$c4,$c8).
% 64.12/64.34 7059 [hyper,6641,40] {-} eqangle($c3,$c2,A,B,$c3,$c2,A,B).
% 64.12/64.34 7476 [hyper,376,9,166] {-} para($c8,$c5,$c8,$c5).
% 64.12/64.34 7510 [hyper,7476,67] {-} coll($c8,$c5,$c5).
% 64.12/64.34 7529 [hyper,7510,114] {-} coll($c5,$c5,$c8).
% 64.12/64.34 7531 [hyper,7510,2] {-} coll($c5,$c8,$c5).
% 64.12/64.34 7544 [hyper,7529,114] {-} coll($c8,$c8,$c5).
% 64.12/64.34 7582 [hyper,7544,3,3754] {-} coll($c6,$c5,$c8).
% 64.12/64.34 7586 [hyper,7544,3,451] {-} coll($c7,$c5,$c8).
% 64.12/64.34 7588 [hyper,7544,3,3754] {-} coll($c5,$c6,$c8).
% 64.12/64.34 7589 [hyper,7544,3,3270] {-} coll($c5,$c4,$c8).
% 64.12/64.34 7622 [hyper,7582,1] {-} coll($c6,$c8,$c5).
% 64.12/64.34 7673 [hyper,7586,1] {-} coll($c7,$c8,$c5).
% 64.12/64.34 7703 [hyper,7588,1] {-} coll($c5,$c8,$c6).
% 64.12/64.34 7768 [hyper,7589,1] {-} coll($c5,$c8,$c4).
% 64.12/64.34 7860 [hyper,7622,3,3273] {-} coll($c4,$c5,$c6).
% 64.12/64.34 7946 [hyper,7673,3,3272] {-} coll($c4,$c5,$c7).
% 64.12/64.34 8003 [hyper,7703,54,159] {-} perp($c8,$c7,$c7,$c6).
% 64.12/64.34 8102 [hyper,7768,3,7531] {-} coll($c5,$c4,$c5).
% 64.12/64.34 10126 [hyper,8003,8] {-} perp($c7,$c6,$c8,$c7).
% 64.12/64.34 10252 [hyper,10126,9,8003] {-} para($c8,$c7,$c8,$c7).
% 64.12/64.34 10253 [hyper,10126,9,8003] {-} para($c7,$c6,$c7,$c6).
% 64.12/64.34 10607 [hyper,10253,40] {-} eqangle($c7,$c6,A,B,$c7,$c6,A,B).
% 64.12/64.34 19360 [hyper,6213,43,3754] {-} cyclic($c4,$c6,$c8,$c8).
% 64.12/64.34 19361 [hyper,6213,43,3270] {-} cyclic($c4,$c4,$c8,$c8).
% 64.12/64.34 19362 [hyper,6213,43,3239] {-} cyclic($c4,$c2,$c8,$c8).
% 64.12/64.34 19363 [hyper,6213,43,1329] {-} cyclic($c4,$c8,$c8,$c8).
% 64.12/64.34 19364 [hyper,6213,43,451] {-} cyclic($c4,$c7,$c8,$c8).
% 64.12/64.34 19365 [hyper,6213,43,273] {-} cyclic($c4,$c3,$c8,$c8).
% 64.12/64.34 19367 [hyper,6213,19] {-} eqangle(A,B,$c8,$c4,A,B,$c8,$c4).
% 64.12/64.34 19376 [hyper,19360,15] {-} cyclic($c4,$c8,$c6,$c8).
% 64.12/64.34 19377 [hyper,19361,15] {-} cyclic($c4,$c8,$c4,$c8).
% 64.12/64.34 19380 [hyper,19362,15] {-} cyclic($c4,$c8,$c2,$c8).
% 64.12/64.34 19388 [hyper,19364,15] {-} cyclic($c4,$c8,$c7,$c8).
% 64.12/64.34 19391 [hyper,19365,15] {-} cyclic($c4,$c8,$c3,$c8).
% 64.12/64.34 19408 [hyper,19376,14] {-} cyclic($c4,$c8,$c8,$c6).
% 64.12/64.34 19411 [hyper,19377,14] {-} cyclic($c4,$c8,$c8,$c4).
% 64.12/64.34 19420 [hyper,19380,14] {-} cyclic($c4,$c8,$c8,$c2).
% 64.12/64.34 19430 [hyper,19388,14] {-} cyclic($c4,$c8,$c8,$c7).
% 64.12/64.34 19439 [hyper,19391,14] {-} cyclic($c4,$c8,$c8,$c3).
% 64.12/64.34 19463 [hyper,19408,120] {-} cyclic($c8,$c8,$c6,$c6).
% 64.12/64.34 19471 [hyper,19411,123,19363,6213] {-} cong($c4,$c8,$c4,$c8).
% 64.12/64.34 19490 [hyper,19420,120] {-} cyclic($c8,$c8,$c2,$c2).
% 64.12/64.34 19512 [hyper,19430,17,19420] {-} cyclic($c8,$c8,$c2,$c7).
% 64.12/64.34 19514 [hyper,19430,17,19408] {-} cyclic($c8,$c8,$c6,$c7).
% 64.12/64.34 19534 [hyper,19439,17,19420] {-} cyclic($c8,$c8,$c2,$c3).
% 64.12/64.34 19536 [hyper,19439,17,19408] {-} cyclic($c8,$c8,$c6,$c3).
% 64.12/64.34 19600 [hyper,19471,68,3334] {-} midp($c4,$c8,$c8).
% 64.12/64.34 19608 [hyper,19600,129,10252] {-} midp($c4,$c7,$c7).
% 64.12/64.34 19609 [hyper,19600,129,7476] {-} midp($c4,$c5,$c5).
% 64.12/64.34 19610 [hyper,19600,129,6019] {-} midp($c4,$c4,$c4).
% 64.12/64.34 19613 [hyper,19600,46,6772,3270] {-} midp($c8,$c8,$c4).
% 64.12/64.34 19616 [hyper,19608,129,10253] {-} midp($c4,$c6,$c6).
% 64.12/64.34 19621 [hyper,19608,69] {-} cong($c4,$c7,$c4,$c7).
% 64.12/64.34 19632 [hyper,19609,69] {-} cong($c4,$c5,$c4,$c5).
% 64.12/64.34 19648 [hyper,19610,69] {-} cong($c4,$c4,$c4,$c4).
% 64.12/64.34 19652 [hyper,19610,64,19608] {-} para($c4,$c7,$c4,$c7).
% 64.12/64.34 19653 [hyper,19610,46,6869,3332] {-} midp($c8,$c4,$c8).
% 64.12/64.34 19691 [hyper,19613,69] {-} cong($c8,$c8,$c8,$c4).
% 64.12/64.34 19695 [hyper,19616,124] {-} para($c4,$c4,$c6,$c6).
% 64.12/64.34 19716 [hyper,19616,64,19609] {-} para($c5,$c6,$c5,$c6).
% 64.12/64.34 19717 [hyper,19616,64,19600] {-} para($c8,$c6,$c8,$c6).
% 64.12/64.34 19747 [hyper,19653,69] {-} cong($c8,$c4,$c8,$c8).
% 64.12/64.34 19748 [hyper,19653,46,10252,2422] {-} midp($c7,$c4,$c7).
% 64.12/64.34 19749 [hyper,19653,46,7476,8102] {-} midp($c5,$c4,$c5).
% 64.12/64.34 19781 [hyper,19748,46,10253,1585] {-} midp($c6,$c4,$c6).
% 64.12/64.34 19834 [hyper,19749,11] {-} midp($c5,$c5,$c4).
% 64.12/64.34 19873 [hyper,19781,69] {-} cong($c6,$c4,$c6,$c6).
% 64.12/64.34 19874 [hyper,19781,11] {-} midp($c6,$c6,$c4).
% 64.12/64.34 19923 [hyper,19834,128] {-} para($c5,$c5,$c4,$c4).
% 64.12/64.34 19987 [hyper,19874,128] {-} para($c6,$c6,$c4,$c4).
% 64.12/64.34 20036 [hyper,19874,69] {-} cong($c6,$c6,$c6,$c4).
% 64.12/64.34 20238 [hyper,19512,120] {-} cyclic($c8,$c2,$c7,$c7).
% 64.12/64.34 20248 [hyper,19512,17,19490] {-} cyclic($c8,$c2,$c7,$c2).
% 64.12/64.34 20398 [hyper,19534,120] {-} cyclic($c8,$c2,$c3,$c3).
% 64.12/64.34 20400 [hyper,19534,17,19512] {-} cyclic($c8,$c2,$c7,$c3).
% 64.12/64.34 20410 [hyper,19534,17,19490] {-} cyclic($c8,$c2,$c3,$c2).
% 64.12/64.34 20438 [hyper,19536,120] {-} cyclic($c8,$c6,$c3,$c3).
% 64.12/64.34 20446 [hyper,19536,17,19514] {-} cyclic($c8,$c6,$c3,$c7).
% 64.12/64.34 20450 [hyper,19536,17,19463] {-} cyclic($c8,$c6,$c3,$c6).
% 64.12/64.34 21340 [hyper,19621,57,19471] {-} perp($c4,$c4,$c8,$c7).
% 64.12/64.34 21558 [hyper,19632,57,19621] {-} perp($c4,$c4,$c5,$c7).
% 64.12/64.34 21559 [hyper,19632,57,19471] {-} perp($c4,$c4,$c5,$c8).
% 64.12/64.34 21896 [hyper,19648,125] {-} perp($c4,$c4,$c4,$c4).
% 64.12/64.34 22922 [hyper,19716,4] {-} para($c5,$c6,$c6,$c5).
% 64.12/64.34 23029 [hyper,19717,4] {-} para($c8,$c6,$c6,$c8).
% 64.12/64.34 23373 [hyper,19747,25,19691] {-} cong($c8,$c8,$c8,$c8).
% 64.12/64.34 23850 [hyper,19923,6,19695] {-} para($c5,$c5,$c6,$c6).
% 64.12/64.34 24216 [hyper,20036,25,19873] {-} cong($c6,$c4,$c6,$c4).
% 64.12/64.34 25979 [hyper,20398,120] {-} cyclic($c2,$c3,$c3,$c3).
% 64.12/64.34 25982 [hyper,20400,120] {-} cyclic($c2,$c7,$c3,$c3).
% 64.12/64.34 25991 [hyper,20400,17,20248] {-} cyclic($c2,$c7,$c3,$c2).
% 64.12/64.34 25995 [hyper,20400,17,20238] {-} cyclic($c2,$c7,$c3,$c7).
% 64.12/64.34 26147 [hyper,20410,17,20398] {-} cyclic($c2,$c3,$c3,$c2).
% 64.12/64.34 26445 [hyper,20446,120] {-} cyclic($c6,$c3,$c7,$c7).
% 64.12/64.34 26448 [hyper,20446,17,20438] {-} cyclic($c6,$c3,$c7,$c3).
% 64.12/64.34 26493 [hyper,20450,17,20446] {-} cyclic($c6,$c3,$c7,$c6).
% 64.12/64.34 27704 [hyper,21340,9,8003] {-} para($c4,$c4,$c7,$c6).
% 64.12/64.34 27748 [hyper,21559,10,19987] {-} perp($c6,$c6,$c5,$c8).
% 64.12/64.34 28092 [hyper,21896,9,21558] {-} para($c4,$c4,$c5,$c7).
% 64.12/64.34 29449 [hyper,23373,68,1329] {-} midp($c8,$c8,$c8).
% 64.12/64.34 29454 [hyper,29449,129,19717] {-} midp($c8,$c6,$c6).
% 64.12/64.34 29517 [hyper,29449,46,19717,3756] {-} midp($c6,$c8,$c6).
% 64.12/64.34 29583 [hyper,29454,46,23029,3734] {-} midp($c6,$c6,$c8).
% 64.12/64.34 33877 [hyper,24216,68,877] {-} midp($c6,$c4,$c4).
% 64.12/64.34 33883 [hyper,33877,129,19652] {-} midp($c6,$c7,$c7).
% 64.12/64.34 34020 [hyper,33877,45,19748] {-} para($c7,$c6,$c7,$c4).
% 64.12/64.34 34028 [hyper,33877,45,19781] {-} para($c6,$c6,$c4,$c6).
% 64.12/64.34 34272 [hyper,33883,64,29583] {-} para($c7,$c6,$c7,$c8).
% 64.12/64.34 34273 [hyper,33883,64,29517] {-} para($c7,$c8,$c7,$c6).
% 64.12/64.34 34274 [hyper,33883,64,19781] {-} para($c7,$c4,$c7,$c6).
% 64.12/64.34 37629 [hyper,25995,44,25991,25982,7059] {-} cong($c2,$c7,$c2,$c7).
% 64.12/64.34 37788 [hyper,26147,123,25979,7059] {-} cong($c2,$c3,$c2,$c3).
% 64.12/64.34 38188 [hyper,26493,44,26448,26445,10607] {-} cong($c6,$c3,$c6,$c3).
% 64.12/64.34 38301 [hyper,19367,39] {-} para(A,B,A,B).
% 64.12/64.34 47325 [hyper,27748,8] {-} perp($c5,$c8,$c6,$c6).
% 64.12/64.34 47438 [hyper,28092,46,19609,7946] {-} midp($c4,$c5,$c7).
% 64.12/64.34 47661 [hyper,47438,46,27704,7860] {-} midp($c4,$c5,$c6).
% 64.12/64.34 48100 [hyper,47661,65,22922,23850] {-} midp($c4,$c6,$c5).
% 64.12/64.34 63363 [hyper,37629,68,1173] {-} midp($c2,$c7,$c7).
% 64.12/64.34 63645 [hyper,63363,65,34272,34273] {-} midp($c2,$c6,$c8).
% 64.12/64.34 63650 [hyper,63363,65,34020,34274] {-} midp($c2,$c6,$c4).
% 64.12/64.34 64631 [hyper,63645,46,302,162] {-} midp($c3,$c6,$c4).
% 64.12/64.34 66191 [hyper,63650,46,6021,3736] {-} midp($c3,$c6,$c8).
% 64.12/64.34 71256 [hyper,64631,129,34028] {-} midp($c3,$c6,$c6).
% 64.12/64.34 71987 [hyper,66191,45,48100] {-} para($c4,$c3,$c5,$c8).
% 64.12/64.34 80883 [hyper,37788,68,2853] {-} midp($c2,$c3,$c3).
% 64.12/64.34 81285 [hyper,80883,46,6117,2832] {-} midp($c3,$c3,$c2).
% 64.12/64.34 81685 [hyper,81285,11] {-} midp($c3,$c2,$c3).
% 64.12/64.34 82098 [hyper,38188,68,1462] {-} midp($c6,$c3,$c3).
% 64.12/64.35 82596 [hyper,38301,129,82098] {-} midp($c6,A,A).
% 64.12/64.35 82598 [hyper,38301,129,71256] {-} midp($c3,A,A).
% 64.12/64.35 82603 [hyper,38301,67] {-} coll(A,B,B).
% 64.12/64.35 82763 [hyper,38301,46,81685,349] {-} midp($c6,$c2,$c6).
% 64.12/64.35 82773 [hyper,38301,46,19781,607] {-} midp($c3,$c4,$c3).
% 64.12/64.35 83088 [hyper,82596,69] {-} cong($c6,A,$c6,A).
% 64.12/64.35 83807 [hyper,82598,64,81685] {-} para($c2,A,$c3,A).
% 64.12/64.35 83837 [hyper,82598,46,38301,246] {-} midp($c7,$c3,$c7).
% 64.12/64.35 85223 [hyper,82603,114] {-} coll(A,A,B).
% 64.12/64.35 93197 [hyper,85223,3,85223] {-} coll(A,B,C).
% 64.12/64.35 101421 [hyper,93197,46,83837,38301] {-} midp(A,$c3,A).
% 64.12/64.35 101422 [hyper,93197,46,82773,38301] {-} midp(A,$c4,A).
% 64.12/64.35 101427 [hyper,93197,46,82763,38301] {-} midp(A,$c2,A).
% 64.12/64.35 104280 [hyper,101421,11] {-} midp(A,A,$c3).
% 64.12/64.35 106109 [hyper,101427,69] {-} cong(A,$c2,A,A).
% 64.12/64.35 108500 [hyper,104280,69] {-} cong(A,A,A,$c3).
% 64.12/64.35 108512 [hyper,104280,64,101422] {-} para(A,$c4,$c3,A).
% 64.12/64.35 158531 [hyper,71987,10,47325] {-} perp($c4,$c3,$c6,$c6).
% 64.12/64.35 161308 [hyper,83088,57,83088] {-} perp($c6,$c6,A,B).
% 64.12/64.35 166764 [hyper,108500,25,106109] {-} cong(A,$c2,A,$c3).
% 64.12/64.35 184208 [hyper,161308,9,158531] {-} para($c4,$c3,A,B).
% 64.12/64.35 187944 [hyper,166764,68,93197] {-} midp(A,$c2,$c3).
% 64.12/64.35 188102 [hyper,187944,129,83807] {-} midp(A,B,B).
% 64.12/64.35 188301 [hyper,188102,46,108512,93197] {-} midp($c4,$c3,A).
% 64.12/64.35 188886 [hyper,188301,11] {-} midp($c4,A,$c3).
% 64.12/64.35 191198 [hyper,184208,46,188886,93197] {-} midp($c3,A,B).
% 64.12/64.35 191209 [hyper,191198,64,191198] {-} para(A,B,C,D).
% 64.12/64.35 213040 [hyper,191209,40] {-} eqangle(A,B,C,D,E,F,C,D).
% 64.12/64.35 219930 [hyper,213040,19] {-} eqangle(A,B,C,D,A,B,E,F).
% 64.12/64.35 220161 [hyper,219930,22,213040] {-} eqangle(A,B,C,D,E,F,G,H).
% 64.12/64.35 220162 [binary,220161.1,113.1] {-} $F.
% 64.12/64.35
% 64.12/64.35 % SZS output end Refutation
% 64.12/64.35 ------------ end of proof -------------
% 64.12/64.35
% 64.12/64.35
% 64.12/64.35 Search stopped by max_proofs option.
% 64.12/64.35
% 64.12/64.35
% 64.12/64.35 Search stopped by max_proofs option.
% 64.12/64.35
% 64.12/64.35 ============ end of search ============
% 64.12/64.35
% 64.12/64.35 That finishes the proof of the theorem.
% 64.12/64.35
% 64.12/64.35 Process 5201 finished Sat Jun 18 13:30:27 2022
%------------------------------------------------------------------------------