TSTP Solution File: GEO642+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO642+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 06:21:18 EDT 2022
% Result : Theorem 67.20s 67.39s
% Output : Refutation 67.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO642+1 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n023.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 19:17:49 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.36 ----- Otter 3.2, August 2001 -----
% 0.19/0.36 The process was started by sandbox2 on n023.cluster.edu,
% 0.19/0.36 Sat Jun 18 19:17:49 2022
% 0.19/0.36 The command was "./sos". The process ID is 16096.
% 0.19/0.36
% 0.19/0.36 set(prolog_style_variables).
% 0.19/0.36 set(auto).
% 0.19/0.36 dependent: set(auto1).
% 0.19/0.36 dependent: set(process_input).
% 0.19/0.36 dependent: clear(print_kept).
% 0.19/0.36 dependent: clear(print_new_demod).
% 0.19/0.36 dependent: clear(print_back_demod).
% 0.19/0.36 dependent: clear(print_back_sub).
% 0.19/0.36 dependent: set(control_memory).
% 0.19/0.36 dependent: assign(max_mem, 12000).
% 0.19/0.36 dependent: assign(pick_given_ratio, 4).
% 0.19/0.36 dependent: assign(stats_level, 1).
% 0.19/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.36 dependent: assign(sos_limit, 5000).
% 0.19/0.36 dependent: assign(max_weight, 60).
% 0.19/0.36 clear(print_given).
% 0.19/0.36
% 0.19/0.36 formula_list(usable).
% 0.19/0.36
% 0.19/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.19/0.36
% 0.19/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.36 clauses in usable.
% 0.19/0.36
% 0.19/0.36 dependent: set(knuth_bendix).
% 0.19/0.36 dependent: set(para_from).
% 0.19/0.36 dependent: set(para_into).
% 0.19/0.36 dependent: clear(para_from_right).
% 0.19/0.36 dependent: clear(para_into_right).
% 0.19/0.36 dependent: set(para_from_vars).
% 0.19/0.36 dependent: set(eq_units_both_ways).
% 0.19/0.36 dependent: set(dynamic_demod_all).
% 0.19/0.36 dependent: set(dynamic_demod).
% 0.19/0.36 dependent: set(order_eq).
% 0.19/0.36 dependent: set(back_demod).
% 0.19/0.36 dependent: set(lrpo).
% 0.19/0.36 dependent: set(hyper_res).
% 0.19/0.36 dependent: set(unit_deletion).
% 0.19/0.36 dependent: set(factor).
% 0.19/0.36
% 0.19/0.36 ------------> process usable:
% 0.19/0.36 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).
% 0.19/0.36
% 0.19/0.36 ------------> process sos:
% 0.19/0.36 Following clause subsumed by 172 during input processing: 0 [copy,172,flip.1] {-} A=A.
% 0.19/0.36 172 back subsumes 146.
% 0.19/0.36 172 back subsumes 145.
% 0.19/0.36 172 back subsumes 144.
% 0.19/0.36 172 back subsumes 143.
% 0.19/0.36
% 0.19/0.36 ======= end of input processing =======
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Failed to model usable list: disabling FINDER
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 -------------- Softie stats --------------
% 0.19/0.43
% 0.19/0.43 UPDATE_STOP: 300
% 0.19/0.43 SFINDER_TIME_LIMIT: 2
% 0.19/0.43 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.43 number of clauses in intial UL: 154
% 0.19/0.43 number of clauses initially in problem: 168
% 0.19/0.43 percentage of clauses intially in UL: 91
% 0.19/0.43 percentage of distinct symbols occuring in initial UL: 73
% 0.19/0.43 percent of all initial clauses that are short: 100
% 0.19/0.43 absolute distinct symbol count: 49
% 0.19/0.43 distinct predicate count: 12
% 0.19/0.43 distinct function count: 20
% 0.19/0.43 distinct constant count: 17
% 0.19/0.43
% 0.19/0.43 ---------- no more Softie stats ----------
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 =========== start of search ===========
% 5.63/5.85
% 5.63/5.85
% 5.63/5.85 Changing weight limit from 60 to 56.
% 5.63/5.85
% 5.63/5.85 Resetting weight limit to 56 after 260 givens.
% 5.63/5.85
% 6.98/7.15
% 6.98/7.15
% 6.98/7.15 Changing weight limit from 56 to 55.
% 6.98/7.15
% 6.98/7.15 Resetting weight limit to 55 after 270 givens.
% 6.98/7.15
% 9.63/9.85
% 9.63/9.85
% 9.63/9.85 Changing weight limit from 55 to 54.
% 9.63/9.85
% 9.63/9.85 Modelling stopped after 300 given clauses and 0.00 seconds
% 9.63/9.85
% 9.63/9.85
% 9.63/9.85 Resetting weight limit to 54 after 300 givens.
% 9.63/9.85
% 10.80/10.98
% 10.80/10.98
% 10.80/10.98 Changing weight limit from 54 to 51.
% 10.80/10.98
% 10.80/10.98 Resetting weight limit to 51 after 315 givens.
% 10.80/10.98
% 12.43/12.60
% 12.43/12.60
% 12.43/12.60 Changing weight limit from 51 to 50.
% 12.43/12.60
% 12.43/12.60 Resetting weight limit to 50 after 345 givens.
% 12.43/12.60
% 15.53/15.70
% 15.53/15.70
% 15.53/15.70 Changing weight limit from 50 to 49.
% 15.53/15.70
% 15.53/15.70 Resetting weight limit to 49 after 405 givens.
% 15.53/15.70
% 17.03/17.25
% 17.03/17.25
% 17.03/17.25 Changing weight limit from 49 to 46.
% 17.03/17.25
% 17.03/17.25 Resetting weight limit to 46 after 430 givens.
% 17.03/17.25
% 17.41/17.58
% 17.41/17.58
% 17.41/17.58 Changing weight limit from 46 to 45.
% 17.41/17.58
% 17.41/17.58 Resetting weight limit to 45 after 435 givens.
% 17.41/17.58
% 17.87/18.07
% 17.87/18.07
% 17.87/18.07 Changing weight limit from 45 to 44.
% 17.87/18.07
% 17.87/18.07 Resetting weight limit to 44 after 445 givens.
% 17.87/18.07
% 18.16/18.33
% 18.16/18.33
% 18.16/18.33 Changing weight limit from 44 to 37.
% 18.16/18.33
% 18.16/18.33 Resetting weight limit to 37 after 450 givens.
% 18.16/18.33
% 18.40/18.59
% 18.40/18.59
% 18.40/18.59 Changing weight limit from 37 to 36.
% 18.40/18.59
% 18.40/18.59 Resetting weight limit to 36 after 455 givens.
% 18.40/18.59
% 18.73/18.91
% 18.73/18.91
% 18.73/18.91 Changing weight limit from 36 to 35.
% 18.73/18.91
% 18.73/18.91 Resetting weight limit to 35 after 460 givens.
% 18.73/18.91
% 18.94/19.16
% 18.94/19.16
% 18.94/19.16 Changing weight limit from 35 to 31.
% 18.94/19.16
% 18.94/19.16 Resetting weight limit to 31 after 465 givens.
% 18.94/19.16
% 19.34/19.51
% 19.34/19.51
% 19.34/19.51 Changing weight limit from 31 to 30.
% 19.34/19.51
% 19.34/19.51 Resetting weight limit to 30 after 475 givens.
% 19.34/19.51
% 27.14/27.36
% 27.14/27.36
% 27.14/27.36 Changing weight limit from 30 to 29.
% 27.14/27.36
% 27.14/27.36 Resetting weight limit to 29 after 765 givens.
% 27.14/27.36
% 28.94/29.12
% 28.94/29.12
% 28.94/29.12 Changing weight limit from 29 to 18.
% 28.94/29.12
% 28.94/29.12 Resetting weight limit to 18 after 985 givens.
% 28.94/29.12
% 28.94/29.14
% 28.94/29.14
% 28.94/29.14 Changing weight limit from 18 to 17.
% 28.94/29.14
% 28.94/29.14 Resetting weight limit to 17 after 990 givens.
% 28.94/29.14
% 29.00/29.21
% 29.00/29.21
% 29.00/29.21 Changing weight limit from 17 to 15.
% 29.00/29.21
% 29.00/29.21 Resetting weight limit to 15 after 995 givens.
% 29.00/29.21
% 29.00/29.23
% 29.00/29.23
% 29.00/29.23 Changing weight limit from 15 to 13.
% 29.00/29.23
% 29.00/29.23 Resetting weight limit to 13 after 1000 givens.
% 29.00/29.23
% 29.17/29.36
% 29.17/29.36
% 29.17/29.36 Changing weight limit from 13 to 11.
% 29.17/29.36
% 29.17/29.36 Resetting weight limit to 11 after 1005 givens.
% 29.17/29.36
% 29.17/29.39
% 29.17/29.39
% 29.17/29.39 Changing weight limit from 11 to 10.
% 29.17/29.39
% 29.17/29.39 Resetting weight limit to 10 after 1010 givens.
% 29.17/29.39
% 31.75/31.94
% 31.75/31.94
% 31.75/31.94 Changing weight limit from 10 to 9.
% 31.75/31.94
% 31.75/31.94 Resetting weight limit to 9 after 1655 givens.
% 31.75/31.94
% 33.16/33.41
% 33.16/33.41
% 33.16/33.41 Changing weight limit from 9 to 8.
% 33.16/33.41
% 33.16/33.41 Resetting weight limit to 8 after 2600 givens.
% 33.16/33.41
% 33.55/33.75
% 33.55/33.75
% 33.55/33.75 Changing weight limit from 8 to 7.
% 33.55/33.75
% 33.55/33.75 Resetting weight limit to 7 after 2745 givens.
% 33.55/33.75
% 33.63/33.86
% 33.63/33.86
% 33.63/33.86 Changing weight limit from 7 to 5.
% 33.63/33.86
% 33.63/33.86 Resetting weight limit to 5 after 2805 givens.
% 33.63/33.86
% 34.73/34.92
% 34.73/34.92
% 34.73/34.92 Changing weight limit from 5 to 6.
% 34.73/34.92
% 34.73/34.92 Resetting weight limit to 6 after 4725 givens.
% 34.73/34.92
% 34.73/34.93
% 34.73/34.93
% 34.73/34.93 Changing weight limit from 6 to 7.
% 34.73/34.93
% 34.73/34.93 Resetting weight limit to 7 after 4730 givens.
% 34.73/34.93
% 34.73/34.93
% 34.73/34.93
% 34.73/34.93 Changing weight limit from 7 to 8.
% 34.73/34.93
% 34.73/34.93 Resetting weight limit to 8 after 4735 givens.
% 34.73/34.93
% 34.73/34.93
% 34.73/34.93
% 34.73/34.93 Changing weight limit from 8 to 9.
% 34.73/34.93
% 34.73/34.93 Resetting weight limit to 9 after 4740 givens.
% 34.73/34.93
% 34.73/34.94
% 34.73/34.94
% 34.73/34.94 Changing weight limit from 9 to 10.
% 34.73/34.94
% 34.73/34.94 Resetting weight limit to 10 after 4745 givens.
% 34.73/34.94
% 34.73/34.94
% 34.73/34.94
% 34.73/34.94 Changing weight limit from 10 to 11.
% 34.73/34.94
% 34.73/34.94 Resetting weight limit to 11 after 4750 givens.
% 34.73/34.94
% 34.73/34.94
% 34.73/34.94
% 34.73/34.94 Changing weight limit from 11 to 12.
% 34.73/34.94
% 34.73/34.94 Resetting weight limit to 12 after 4755 givens.
% 34.73/34.94
% 34.73/34.94
% 34.73/34.94
% 34.73/34.94 Changing weight limit from 12 to 13.
% 34.73/34.94
% 34.73/34.94 Resetting weight limit to 13 after 4760 givens.
% 34.73/34.94
% 34.73/34.95
% 34.73/34.95
% 34.73/34.95 Changing weight limit from 13 to 14.
% 34.73/34.95
% 34.73/34.95 Resetting weight limit to 14 after 4765 givens.
% 34.73/34.95
% 34.73/34.95
% 34.73/34.95
% 34.73/34.95 Changing weight limit from 14 to 15.
% 34.73/34.95
% 34.73/34.95 Resetting weight limit to 15 after 4770 givens.
% 34.73/34.95
% 34.73/34.95
% 34.73/34.95
% 34.73/34.95 Changing weight limit from 15 to 16.
% 34.73/34.95
% 34.73/34.95 Resetting weight limit to 16 after 4775 givens.
% 34.73/34.95
% 34.73/34.96
% 34.73/34.96
% 34.73/34.96 Changing weight limit from 16 to 17.
% 34.73/34.96
% 34.73/34.96 Resetting weight limit to 17 after 4780 givens.
% 34.73/34.96
% 34.73/34.96
% 34.73/34.96
% 34.73/34.96 Changing weight limit from 17 to 18.
% 34.73/34.96
% 34.73/34.96 Resetting weight limit to 18 after 4785 givens.
% 34.73/34.96
% 34.73/34.96
% 34.73/34.96
% 34.73/34.96 Changing weight limit from 18 to 19.
% 34.73/34.96
% 34.73/34.96 Resetting weight limit to 19 after 4790 givens.
% 34.73/34.96
% 34.80/34.97
% 34.80/34.97
% 34.80/34.97 Changing weight limit from 19 to 20.
% 34.80/34.97
% 34.80/34.97 Resetting weight limit to 20 after 4795 givens.
% 34.80/34.97
% 34.80/34.97
% 34.80/34.97
% 34.80/34.97 Changing weight limit from 20 to 21.
% 34.80/34.97
% 34.80/34.97 Resetting weight limit to 21 after 4800 givens.
% 34.80/34.97
% 34.80/34.98
% 34.80/34.98
% 34.80/34.98 Changing weight limit from 21 to 22.
% 34.80/34.98
% 34.80/34.98 Resetting weight limit to 22 after 4805 givens.
% 34.80/34.98
% 34.80/34.98
% 34.80/34.98
% 34.80/34.98 Changing weight limit from 22 to 23.
% 34.80/34.98
% 34.80/34.98 Resetting weight limit to 23 after 4810 givens.
% 34.80/34.98
% 34.80/34.99
% 34.80/34.99
% 34.80/34.99 Changing weight limit from 23 to 24.
% 34.80/34.99
% 34.80/34.99 Resetting weight limit to 24 after 4815 givens.
% 34.80/34.99
% 34.80/34.99
% 34.80/34.99
% 34.80/34.99 Changing weight limit from 24 to 25.
% 34.80/34.99
% 34.80/34.99 Resetting weight limit to 25 after 4820 givens.
% 34.80/34.99
% 34.80/34.99
% 34.80/34.99
% 34.80/34.99 Changing weight limit from 25 to 26.
% 34.80/34.99
% 34.80/34.99 Resetting weight limit to 26 after 4825 givens.
% 34.80/34.99
% 34.80/35.00
% 34.80/35.00
% 34.80/35.00 Changing weight limit from 26 to 27.
% 34.80/35.00
% 34.80/35.00 Resetting weight limit to 27 after 4830 givens.
% 34.80/35.00
% 34.80/35.00
% 34.80/35.00
% 34.80/35.00 Changing weight limit from 27 to 28.
% 34.80/35.00
% 34.80/35.00 Resetting weight limit to 28 after 4835 givens.
% 34.80/35.00
% 34.80/35.01
% 34.80/35.01
% 34.80/35.01 Changing weight limit from 28 to 29.
% 34.80/35.01
% 34.80/35.01 Resetting weight limit to 29 after 4840 givens.
% 34.80/35.01
% 34.80/35.01
% 34.80/35.01
% 34.80/35.01 Changing weight limit from 29 to 30.
% 34.80/35.01
% 34.80/35.01 Resetting weight limit to 30 after 4845 givens.
% 34.80/35.01
% 44.35/44.54
% 44.35/44.54
% 44.35/44.54 Changing weight limit from 30 to 29.
% 44.35/44.54
% 44.35/44.54 Resetting weight limit to 29 after 7650 givens.
% 44.35/44.54
% 44.85/45.09
% 44.85/45.09
% 44.85/45.09 Changing weight limit from 29 to 10.
% 44.85/45.09
% 44.85/45.09 Resetting weight limit to 10 after 7905 givens.
% 44.85/45.09
% 45.04/45.23
% 45.04/45.23
% 45.04/45.23 Changing weight limit from 10 to 9.
% 45.04/45.23
% 45.04/45.23 Resetting weight limit to 9 after 7915 givens.
% 45.04/45.23
% 51.36/51.57
% 51.36/51.57
% 51.36/51.57 Changing weight limit from 9 to 8.
% 51.36/51.57
% 51.36/51.57 Resetting weight limit to 8 after 9900 givens.
% 51.36/51.57
% 52.12/52.32
% 52.12/52.32
% 52.12/52.32 Changing weight limit from 8 to 5.
% 52.12/52.32
% 52.12/52.32 Resetting weight limit to 5 after 9950 givens.
% 52.12/52.32
% 67.20/67.39
% 67.20/67.39 -- HEY sandbox2, WE HAVE A PROOF!! --
% 67.20/67.39
% 67.20/67.39 ----> UNIT CONFLICT at 65.72 sec ----> 200468 [binary,200467.1,113.1] {-} $F.
% 67.20/67.39
% 67.20/67.39 Length of proof is 160. Level of proof is 20.
% 67.20/67.39
% 67.20/67.39 ---------------- PROOF ----------------
% 67.20/67.39 % SZS status Theorem
% 67.20/67.39 % SZS output start Refutation
% 67.20/67.39
% 67.20/67.39 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 67.20/67.39 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 67.20/67.39 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 67.20/67.39 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 67.20/67.39 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 67.20/67.39 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 67.20/67.39 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 67.20/67.39 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 67.20/67.39 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 67.20/67.39 12 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|circle(A,B,C,D).
% 67.20/67.39 13 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)| -cong(A,B,A,E)|cyclic(B,C,D,E).
% 67.20/67.39 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 67.20/67.39 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 67.20/67.39 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 67.20/67.39 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 67.20/67.39 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 67.20/67.39 41 [] {+} -cyclic(A,B,C,D)|eqangle(C,A,C,B,D,A,D,B).
% 67.20/67.39 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 67.20/67.39 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).
% 67.20/67.39 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 67.20/67.39 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 67.20/67.39 52 [] {+} -circle(A,B,C,D)| -coll(E,C,D)| -eqangle(B,C,B,D,A,C,A,E)|midp(E,C,D).
% 67.20/67.39 58 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 67.20/67.39 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 67.20/67.39 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 67.20/67.39 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 67.20/67.39 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 67.20/67.39 70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 67.20/67.39 99 [] {+} -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 67.20/67.39 113 [] {+} -perp($c10,$c9,$c17,$c12).
% 67.20/67.39 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 67.20/67.39 116 [factor,12.1.2] {+} -cong(A,B,A,C)|circle(A,B,C,C).
% 67.20/67.39 117 [factor,13.1.2] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,C,D).
% 67.20/67.39 118 [factor,13.1.3] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,D,C).
% 67.20/67.39 119 [factor,13.2.3] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,D,D).
% 67.20/67.39 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 67.20/67.39 122 [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).
% 67.20/67.39 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 67.20/67.39 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 67.20/67.39 159 [] {-} midp($c15,$c16,$c17).
% 67.20/67.39 160 [] {-} circle($c15,$c17,$c8,$c7).
% 67.20/67.39 166 [] {-} coll($c11,$c16,$c13).
% 67.20/67.39 167 [] {-} coll($c11,$c17,$c12).
% 67.20/67.39 168 [] {-} coll($c10,$c17,$c14).
% 67.20/67.39 169 [] {-} coll($c10,$c16,$c13).
% 67.20/67.39 170 [] {-} coll($c9,$c17,$c12).
% 67.20/67.39 171 [] {-} coll($c9,$c14,$c13).
% 67.20/67.39 177 [hyper,159,128] {-} para($c16,$c16,$c17,$c17).
% 67.20/67.39 179 [hyper,159,70] {-} coll($c15,$c16,$c17).
% 67.20/67.39 180 [hyper,159,69] {-} cong($c15,$c16,$c15,$c17).
% 67.20/67.39 181 [hyper,159,11] {-} midp($c15,$c17,$c16).
% 67.20/67.39 195 [hyper,166,2] {-} coll($c16,$c11,$c13).
% 67.20/67.39 209 [hyper,167,114] {-} coll($c12,$c12,$c11).
% 67.20/67.39 210 [hyper,167,2] {-} coll($c17,$c11,$c12).
% 67.20/67.39 224 [hyper,168,114] {-} coll($c14,$c14,$c10).
% 67.20/67.39 225 [hyper,168,2] {-} coll($c17,$c10,$c14).
% 67.20/67.39 239 [hyper,160,99] {-} perp($f12($c17,$c8,$c7,$c15),$c17,$c17,$c15).
% 67.20/67.39 256 [hyper,169,114] {-} coll($c13,$c13,$c10).
% 67.20/67.39 258 [hyper,169,1] {-} coll($c10,$c13,$c16).
% 67.20/67.39 271 [hyper,170,114] {-} coll($c12,$c12,$c9).
% 67.20/67.39 273 [hyper,170,1] {-} coll($c9,$c12,$c17).
% 67.20/67.39 286 [hyper,171,114] {-} coll($c13,$c13,$c9).
% 67.20/67.39 287 [hyper,171,2] {-} coll($c14,$c9,$c13).
% 67.20/67.39 301 [hyper,179,114] {-} coll($c17,$c17,$c15).
% 67.20/67.39 302 [hyper,179,2] {-} coll($c16,$c15,$c17).
% 67.20/67.39 303 [hyper,179,1] {-} coll($c15,$c17,$c16).
% 67.20/67.39 337 [hyper,181,128] {-} para($c17,$c17,$c16,$c16).
% 67.20/67.39 347 [hyper,181,69] {-} cong($c15,$c17,$c15,$c16).
% 67.20/67.39 348 [hyper,181,64,159] {-} para($c16,$c17,$c17,$c16).
% 67.20/67.39 349 [hyper,181,64,159] {-} para($c17,$c16,$c16,$c17).
% 67.20/67.39 376 [hyper,195,114] {-} coll($c13,$c13,$c16).
% 67.20/67.39 377 [hyper,195,1] {-} coll($c16,$c13,$c11).
% 67.20/67.39 421 [hyper,209,114] {-} coll($c11,$c11,$c12).
% 67.20/67.39 422 [hyper,209,1] {-} coll($c12,$c11,$c12).
% 67.20/67.39 435 [hyper,210,114] {-} coll($c12,$c12,$c17).
% 67.20/67.39 463 [hyper,224,114] {-} coll($c10,$c10,$c14).
% 67.20/67.39 464 [hyper,224,1] {-} coll($c14,$c10,$c14).
% 67.20/67.39 494 [hyper,225,114] {-} coll($c14,$c14,$c17).
% 67.20/67.39 522 [hyper,256,114] {-} coll($c10,$c10,$c13).
% 67.20/67.39 568 [hyper,258,114] {-} coll($c16,$c16,$c10).
% 67.20/67.39 582 [hyper,271,114] {-} coll($c9,$c9,$c12).
% 67.20/67.39 642 [hyper,286,114] {-} coll($c9,$c9,$c13).
% 67.20/67.39 660 [hyper,287,114] {-} coll($c13,$c13,$c14).
% 67.20/67.39 689 [hyper,301,1] {-} coll($c17,$c15,$c17).
% 67.20/67.39 758 [hyper,303,114] {-} coll($c16,$c16,$c15).
% 67.20/67.39 842 [hyper,376,3,286] {-} coll($c9,$c16,$c13).
% 67.20/67.39 857 [hyper,377,114] {-} coll($c11,$c11,$c16).
% 67.20/67.39 988 [hyper,435,1] {-} coll($c12,$c17,$c12).
% 67.20/67.39 1078 [hyper,463,1] {-} coll($c10,$c14,$c10).
% 67.20/67.39 1091 [hyper,464,114] {-} coll($c14,$c14,$c14).
% 67.20/67.39 1123 [hyper,494,1] {-} coll($c14,$c17,$c14).
% 67.20/67.39 1201 [hyper,522,1] {-} coll($c10,$c13,$c10).
% 67.20/67.39 1314 [hyper,582,1] {-} coll($c9,$c12,$c9).
% 67.20/67.39 1573 [hyper,642,1] {-} coll($c9,$c13,$c9).
% 67.20/67.39 1811 [hyper,660,114] {-} coll($c14,$c14,$c13).
% 67.20/67.39 1815 [hyper,660,3,376] {-} coll($c14,$c16,$c13).
% 67.20/67.39 1947 [hyper,689,2] {-} coll($c15,$c17,$c17).
% 67.20/67.39 2054 [hyper,758,1] {-} coll($c16,$c15,$c16).
% 67.20/67.39 2191 [hyper,842,1] {-} coll($c9,$c13,$c16).
% 67.20/67.39 2285 [hyper,857,3,421] {-} coll($c12,$c16,$c11).
% 67.20/67.39 2675 [hyper,1078,114] {-} coll($c10,$c10,$c10).
% 67.20/67.39 3125 [hyper,1201,3,258] {-} coll($c16,$c10,$c10).
% 67.20/67.39 3359 [hyper,1314,3,273] {-} coll($c9,$c17,$c9).
% 67.20/67.39 3886 [hyper,1811,3,1091] {-} coll($c14,$c13,$c14).
% 67.20/67.39 3981 [hyper,1815,1] {-} coll($c14,$c13,$c16).
% 67.20/67.39 5008 [hyper,2191,114] {-} coll($c16,$c16,$c9).
% 67.20/67.39 5016 [hyper,2191,3,1573] {-} coll($c16,$c9,$c9).
% 67.20/67.39 5050 [hyper,2285,1] {-} coll($c12,$c11,$c16).
% 67.20/67.39 6465 [hyper,239,8] {-} perp($c17,$c15,$f12($c17,$c8,$c7,$c15),$c17).
% 67.20/67.39 7446 [hyper,3981,114] {-} coll($c16,$c16,$c14).
% 67.20/67.39 7450 [hyper,3981,3,3886] {-} coll($c16,$c14,$c14).
% 67.20/67.39 8161 [hyper,5050,114] {-} coll($c16,$c16,$c12).
% 67.20/67.39 8169 [hyper,5050,3,422] {-} coll($c16,$c12,$c12).
% 67.20/67.39 11133 [hyper,337,6,177] {-} para($c16,$c16,$c16,$c16).
% 67.20/67.39 11919 [hyper,347,25,180] {-} cong($c15,$c16,$c15,$c16).
% 67.20/67.39 11920 [hyper,347,25,180] {-} cong($c15,$c17,$c15,$c17).
% 67.20/67.40 12182 [hyper,348,4] {-} para($c16,$c17,$c16,$c17).
% 67.20/67.40 12410 [hyper,349,6,348] {-} para($c17,$c16,$c17,$c16).
% 67.20/67.40 13891 [hyper,11133,40] {-} eqangle($c16,$c16,A,B,$c16,$c16,A,B).
% 67.20/67.40 14245 [hyper,11919,119,180] {-} cyclic($c16,$c16,$c17,$c17).
% 67.20/67.40 14247 [hyper,11919,118,180] {-} cyclic($c16,$c16,$c17,$c16).
% 67.20/67.40 14249 [hyper,11919,117,180] {-} cyclic($c16,$c16,$c16,$c17).
% 67.20/67.40 14363 [hyper,11920,68,1947] {-} midp($c15,$c17,$c17).
% 67.20/67.40 14445 [hyper,14363,64,159] {-} para($c17,$c16,$c17,$c17).
% 67.20/67.40 14629 [hyper,12182,40] {-} eqangle($c16,$c17,A,B,$c16,$c17,A,B).
% 67.20/67.40 20885 [hyper,6465,9,239] {-} para($c17,$c15,$c17,$c15).
% 67.20/67.40 20887 [hyper,20885,129,14363] {-} midp($c15,$c15,$c15).
% 67.20/67.40 21092 [hyper,20887,64,14363] {-} para($c15,$c17,$c15,$c17).
% 67.20/67.40 22164 [hyper,21092,46,20887,689] {-} midp($c17,$c15,$c17).
% 67.20/67.40 22409 [hyper,22164,46,14445,302] {-} midp($c16,$c15,$c17).
% 67.20/67.40 22411 [hyper,22164,46,12410,2054] {-} midp($c16,$c15,$c16).
% 67.20/67.40 22871 [hyper,22409,11] {-} midp($c16,$c17,$c15).
% 67.20/67.40 23045 [hyper,22411,11] {-} midp($c16,$c16,$c15).
% 67.20/67.40 38028 [hyper,13891,43,8161] {-} cyclic($c16,$c12,$c16,$c16).
% 67.20/67.40 38029 [hyper,13891,43,7446] {-} cyclic($c16,$c14,$c16,$c16).
% 67.20/67.40 38030 [hyper,13891,43,5008] {-} cyclic($c16,$c9,$c16,$c16).
% 67.20/67.40 38032 [hyper,13891,43,568] {-} cyclic($c16,$c10,$c16,$c16).
% 67.20/67.40 38037 [hyper,38028,15] {-} cyclic($c16,$c16,$c12,$c16).
% 67.20/67.40 38039 [hyper,38029,15] {-} cyclic($c16,$c16,$c14,$c16).
% 67.20/67.40 38041 [hyper,38030,15] {-} cyclic($c16,$c16,$c9,$c16).
% 67.20/67.40 38048 [hyper,38032,15] {-} cyclic($c16,$c16,$c10,$c16).
% 67.20/67.40 38053 [hyper,38037,14] {-} cyclic($c16,$c16,$c16,$c12).
% 67.20/67.40 38059 [hyper,38039,14] {-} cyclic($c16,$c16,$c16,$c14).
% 67.20/67.40 38062 [hyper,38041,14] {-} cyclic($c16,$c16,$c16,$c9).
% 67.20/67.40 38071 [hyper,38048,14] {-} cyclic($c16,$c16,$c16,$c10).
% 67.20/67.40 38078 [hyper,38053,120] {-} cyclic($c16,$c16,$c12,$c12).
% 67.20/67.40 38082 [hyper,38053,17,14249] {-} cyclic($c16,$c16,$c17,$c12).
% 67.20/67.40 38085 [hyper,38059,120] {-} cyclic($c16,$c16,$c14,$c14).
% 67.20/67.40 38097 [hyper,38062,120] {-} cyclic($c16,$c16,$c9,$c9).
% 67.20/67.40 38103 [hyper,38062,17,14249] {-} cyclic($c16,$c16,$c17,$c9).
% 67.20/67.40 38121 [hyper,38071,120] {-} cyclic($c16,$c16,$c10,$c10).
% 67.20/67.40 38158 [hyper,38078,17,38037] {-} cyclic($c16,$c12,$c16,$c12).
% 67.20/67.40 38169 [hyper,38082,120] {-} cyclic($c16,$c17,$c12,$c12).
% 67.20/67.40 38174 [hyper,38082,17,14245] {-} cyclic($c16,$c17,$c17,$c12).
% 67.20/67.40 38176 [hyper,38082,17,14247] {-} cyclic($c16,$c17,$c12,$c16).
% 67.20/67.40 38177 [hyper,38082,17,14245] {-} cyclic($c16,$c17,$c12,$c17).
% 67.20/67.40 38197 [hyper,38085,17,38039] {-} cyclic($c16,$c14,$c16,$c14).
% 67.20/67.40 38260 [hyper,38097,17,38041] {-} cyclic($c16,$c9,$c16,$c9).
% 67.20/67.40 38332 [hyper,38103,120] {-} cyclic($c16,$c17,$c9,$c9).
% 67.20/67.40 38339 [hyper,38103,17,14245] {-} cyclic($c16,$c17,$c17,$c9).
% 67.20/67.40 38343 [hyper,38103,17,14247] {-} cyclic($c16,$c17,$c9,$c16).
% 67.20/67.40 38344 [hyper,38103,17,14245] {-} cyclic($c16,$c17,$c9,$c17).
% 67.20/67.40 38519 [hyper,38121,120] {-} cyclic($c16,$c10,$c10,$c10).
% 67.20/67.40 38521 [hyper,38121,17,38048] {-} cyclic($c16,$c10,$c16,$c10).
% 67.20/67.40 38522 [hyper,38121,17,38048] {-} cyclic($c16,$c10,$c10,$c16).
% 67.20/67.40 38932 [hyper,38158,122,38028,13891] {-} cong($c16,$c12,$c16,$c12).
% 67.20/67.40 39034 [hyper,38176,120] {-} cyclic($c17,$c12,$c16,$c16).
% 67.20/67.40 39039 [hyper,38176,17,38169] {-} cyclic($c17,$c12,$c16,$c12).
% 67.20/67.40 39044 [hyper,38177,17,38176] {-} cyclic($c17,$c12,$c16,$c17).
% 67.20/67.40 39132 [hyper,38197,122,38029,13891] {-} cong($c16,$c14,$c16,$c14).
% 67.20/67.40 39536 [hyper,38260,122,38030,13891] {-} cong($c16,$c9,$c16,$c9).
% 67.20/67.40 39651 [hyper,14629,43,5008] {-} cyclic($c17,$c9,$c16,$c16).
% 67.20/67.40 39978 [hyper,38339,17,38174] {-} cyclic($c17,$c17,$c9,$c12).
% 67.20/67.40 40031 [hyper,38343,17,38332] {-} cyclic($c17,$c9,$c16,$c9).
% 67.20/67.40 40036 [hyper,38344,17,38343] {-} cyclic($c17,$c9,$c16,$c17).
% 67.20/67.40 41499 [hyper,38521,122,38032,13891] {-} cong($c16,$c10,$c16,$c10).
% 67.20/67.40 41508 [hyper,38522,17,38519] {-} cyclic($c10,$c10,$c10,$c16).
% 67.20/67.40 45620 [hyper,38932,68,8169] {-} midp($c16,$c12,$c12).
% 67.20/67.40 45635 [hyper,45620,64,23045] {-} para($c16,$c12,$c15,$c12).
% 67.20/67.40 45654 [hyper,39044,44,39039,39034,14629] {-} cong($c17,$c12,$c17,$c12).
% 67.20/67.40 45658 [hyper,39132,68,7450] {-} midp($c16,$c14,$c14).
% 67.20/67.40 45677 [hyper,45658,64,45620] {-} para($c12,$c14,$c12,$c14).
% 67.20/67.40 45702 [hyper,39536,68,5016] {-} midp($c16,$c9,$c9).
% 67.20/67.40 45725 [hyper,45702,64,45658] {-} para($c14,$c9,$c14,$c9).
% 67.20/67.40 45751 [hyper,40036,44,40031,39651,14629] {-} cong($c17,$c9,$c17,$c9).
% 67.20/67.40 46464 [hyper,41499,116] {-} circle($c16,$c10,$c10,$c10).
% 67.20/67.40 46489 [hyper,41499,68,3125] {-} midp($c16,$c10,$c10).
% 67.20/67.40 46893 [hyper,46489,64,45702] {-} para($c10,$c9,$c10,$c9).
% 67.20/67.40 46944 [hyper,41508,41] {-} eqangle($c10,$c10,$c10,$c10,$c16,$c10,$c16,$c10).
% 67.20/67.40 73989 [hyper,45635,46,22871,988] {-} midp($c12,$c17,$c12).
% 67.20/67.40 77003 [hyper,45677,46,73989,1123] {-} midp($c14,$c17,$c14).
% 67.20/67.40 79381 [hyper,45725,46,77003,3359] {-} midp($c9,$c17,$c9).
% 67.20/67.40 79811 [hyper,79381,11] {-} midp($c9,$c9,$c17).
% 67.20/67.40 80535 [hyper,45751,58,45654,39978] {-} perp($c9,$c17,$c17,$c12).
% 67.20/67.40 93118 [hyper,46944,52,46464,2675] {-} midp($c10,$c10,$c10).
% 67.20/67.40 93127 [hyper,93118,129,46893] {-} midp($c10,$c9,$c9).
% 67.20/67.40 94726 [hyper,93127,45,79811] {-} para($c10,$c9,$c9,$c17).
% 67.20/67.40 200467 [hyper,94726,10,80535] {-} perp($c10,$c9,$c17,$c12).
% 67.20/67.40 200468 [binary,200467.1,113.1] {-} $F.
% 67.20/67.40
% 67.20/67.40 % SZS output end Refutation
% 67.20/67.40 ------------ end of proof -------------
% 67.20/67.40
% 67.20/67.40
% 67.20/67.40 Search stopped by max_proofs option.
% 67.20/67.40
% 67.20/67.40
% 67.20/67.40 Search stopped by max_proofs option.
% 67.20/67.40
% 67.20/67.40 ============ end of search ============
% 67.20/67.40
% 67.20/67.40 That finishes the proof of the theorem.
% 67.20/67.40
% 67.20/67.40 Process 16096 finished Sat Jun 18 19:18:56 2022
%------------------------------------------------------------------------------