TSTP Solution File: GEO573+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO573+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 06:20:57 EDT 2022
% Result : Theorem 57.09s 57.30s
% Output : Refutation 57.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO573+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 07:02:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.37 ----- Otter 3.2, August 2001 -----
% 0.19/0.37 The process was started by sandbox2 on n010.cluster.edu,
% 0.19/0.37 Sat Jun 18 07:02:53 2022
% 0.19/0.37 The command was "./sos". The process ID is 24034.
% 0.19/0.37
% 0.19/0.37 set(prolog_style_variables).
% 0.19/0.37 set(auto).
% 0.19/0.37 dependent: set(auto1).
% 0.19/0.37 dependent: set(process_input).
% 0.19/0.37 dependent: clear(print_kept).
% 0.19/0.37 dependent: clear(print_new_demod).
% 0.19/0.37 dependent: clear(print_back_demod).
% 0.19/0.37 dependent: clear(print_back_sub).
% 0.19/0.37 dependent: set(control_memory).
% 0.19/0.37 dependent: assign(max_mem, 12000).
% 0.19/0.37 dependent: assign(pick_given_ratio, 4).
% 0.19/0.37 dependent: assign(stats_level, 1).
% 0.19/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.37 dependent: assign(sos_limit, 5000).
% 0.19/0.37 dependent: assign(max_weight, 60).
% 0.19/0.37 clear(print_given).
% 0.19/0.37
% 0.19/0.37 formula_list(usable).
% 0.19/0.37
% 0.19/0.37 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.19/0.37
% 0.19/0.37 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.37 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.37 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.37 clauses in usable.
% 0.19/0.37
% 0.19/0.37 dependent: set(knuth_bendix).
% 0.19/0.37 dependent: set(para_from).
% 0.19/0.37 dependent: set(para_into).
% 0.19/0.37 dependent: clear(para_from_right).
% 0.19/0.37 dependent: clear(para_into_right).
% 0.19/0.37 dependent: set(para_from_vars).
% 0.19/0.37 dependent: set(eq_units_both_ways).
% 0.19/0.37 dependent: set(dynamic_demod_all).
% 0.19/0.37 dependent: set(dynamic_demod).
% 0.19/0.37 dependent: set(order_eq).
% 0.19/0.37 dependent: set(back_demod).
% 0.19/0.37 dependent: set(lrpo).
% 0.19/0.37 dependent: set(hyper_res).
% 0.19/0.37 dependent: set(unit_deletion).
% 0.19/0.37 dependent: set(factor).
% 0.19/0.37
% 0.19/0.37 ------------> process usable:
% 0.19/0.37 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).
% 0.19/0.37
% 0.19/0.37 ------------> process sos:
% 0.19/0.37 Following clause subsumed by 168 during input processing: 0 [copy,168,flip.1] {-} A=A.
% 0.19/0.37 168 back subsumes 146.
% 0.19/0.37 168 back subsumes 145.
% 0.19/0.37 168 back subsumes 144.
% 0.19/0.37 168 back subsumes 143.
% 0.19/0.37
% 0.19/0.37 ======= end of input processing =======
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 Failed to model usable list: disabling FINDER
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 -------------- Softie stats --------------
% 0.19/0.44
% 0.19/0.44 UPDATE_STOP: 300
% 0.19/0.44 SFINDER_TIME_LIMIT: 2
% 0.19/0.44 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.44 number of clauses in intial UL: 154
% 0.19/0.44 number of clauses initially in problem: 164
% 0.19/0.44 percentage of clauses intially in UL: 93
% 0.19/0.44 percentage of distinct symbols occuring in initial UL: 85
% 0.19/0.44 percent of all initial clauses that are short: 100
% 0.19/0.44 absolute distinct symbol count: 41
% 0.19/0.44 distinct predicate count: 12
% 0.19/0.44 distinct function count: 20
% 0.19/0.44 distinct constant count: 9
% 0.19/0.44
% 0.19/0.44 ---------- no more Softie stats ----------
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 =========== start of search ===========
% 6.78/7.00
% 6.78/7.00
% 6.78/7.00 Changing weight limit from 60 to 58.
% 6.78/7.00
% 6.78/7.00 Resetting weight limit to 58 after 245 givens.
% 6.78/7.00
% 7.78/8.01
% 7.78/8.01
% 7.78/8.01 Changing weight limit from 58 to 56.
% 7.78/8.01
% 7.78/8.01 Resetting weight limit to 56 after 250 givens.
% 7.78/8.01
% 10.58/10.79
% 10.58/10.79
% 10.58/10.79 Changing weight limit from 56 to 55.
% 10.58/10.79
% 10.58/10.79 Resetting weight limit to 55 after 270 givens.
% 10.58/10.79
% 13.27/13.51
% 13.27/13.51
% 13.27/13.51 Changing weight limit from 55 to 54.
% 13.27/13.51
% 13.27/13.51 Modelling stopped after 300 given clauses and 0.00 seconds
% 13.27/13.51
% 13.27/13.51
% 13.27/13.51 Resetting weight limit to 54 after 305 givens.
% 13.27/13.51
% 14.04/14.27
% 14.04/14.27
% 14.04/14.27 Changing weight limit from 54 to 52.
% 14.04/14.27
% 14.04/14.27 Resetting weight limit to 52 after 320 givens.
% 14.04/14.27
% 15.61/15.82
% 15.61/15.82
% 15.61/15.82 Changing weight limit from 52 to 51.
% 15.61/15.82
% 15.61/15.82 Resetting weight limit to 51 after 340 givens.
% 15.61/15.82
% 19.58/19.77
% 19.58/19.77
% 19.58/19.77 Changing weight limit from 51 to 50.
% 19.58/19.77
% 19.58/19.77 Resetting weight limit to 50 after 395 givens.
% 19.58/19.77
% 23.76/23.94
% 23.76/23.94
% 23.76/23.94 Changing weight limit from 50 to 49.
% 23.76/23.94
% 23.76/23.94 Resetting weight limit to 49 after 440 givens.
% 23.76/23.94
% 25.73/25.98
% 25.73/25.98
% 25.73/25.98 Changing weight limit from 49 to 44.
% 25.73/25.98
% 25.73/25.98 Resetting weight limit to 44 after 445 givens.
% 25.73/25.98
% 26.22/26.40
% 26.22/26.40
% 26.22/26.40 Changing weight limit from 44 to 30.
% 26.22/26.40
% 26.22/26.40 Resetting weight limit to 30 after 450 givens.
% 26.22/26.40
% 30.18/30.39
% 30.18/30.39
% 30.18/30.39 Changing weight limit from 30 to 29.
% 30.18/30.39
% 30.18/30.39 Resetting weight limit to 29 after 600 givens.
% 30.18/30.39
% 31.31/31.52
% 31.31/31.52
% 31.31/31.52 Changing weight limit from 29 to 18.
% 31.31/31.52
% 31.31/31.52 Resetting weight limit to 18 after 715 givens.
% 31.31/31.52
% 31.31/31.54
% 31.31/31.54
% 31.31/31.54 Changing weight limit from 18 to 14.
% 31.31/31.54
% 31.31/31.54 Resetting weight limit to 14 after 725 givens.
% 31.31/31.54
% 31.41/31.60
% 31.41/31.60
% 31.41/31.60 Changing weight limit from 14 to 13.
% 31.41/31.60
% 31.41/31.60 Resetting weight limit to 13 after 795 givens.
% 31.41/31.60
% 31.45/31.71
% 31.45/31.71
% 31.45/31.71 Changing weight limit from 13 to 12.
% 31.45/31.71
% 31.45/31.71 Resetting weight limit to 12 after 900 givens.
% 31.45/31.71
% 31.55/31.74
% 31.55/31.74
% 31.55/31.74 Changing weight limit from 12 to 10.
% 31.55/31.74
% 31.55/31.74 Resetting weight limit to 10 after 925 givens.
% 31.55/31.74
% 33.05/33.33
% 33.05/33.33
% 33.05/33.33 Changing weight limit from 10 to 9.
% 33.05/33.33
% 33.05/33.33 Resetting weight limit to 9 after 1780 givens.
% 33.05/33.33
% 34.07/34.27
% 34.07/34.27
% 34.07/34.27 Changing weight limit from 9 to 8.
% 34.07/34.27
% 34.07/34.27 Resetting weight limit to 8 after 2545 givens.
% 34.07/34.27
% 35.03/35.26
% 35.03/35.26
% 35.03/35.26 Changing weight limit from 8 to 5.
% 35.03/35.26
% 35.03/35.26 Resetting weight limit to 5 after 3015 givens.
% 35.03/35.26
% 36.23/36.43
% 36.23/36.43
% 36.23/36.43 Changing weight limit from 5 to 6.
% 36.23/36.43
% 36.23/36.43 Resetting weight limit to 6 after 4765 givens.
% 36.23/36.43
% 36.23/36.43
% 36.23/36.43
% 36.23/36.43 Changing weight limit from 6 to 7.
% 36.23/36.43
% 36.23/36.43 Resetting weight limit to 7 after 4770 givens.
% 36.23/36.43
% 36.23/36.44
% 36.23/36.44
% 36.23/36.44 Changing weight limit from 7 to 8.
% 36.23/36.44
% 36.23/36.44 Resetting weight limit to 8 after 4775 givens.
% 36.23/36.44
% 36.23/36.44
% 36.23/36.44
% 36.23/36.44 Changing weight limit from 8 to 9.
% 36.23/36.44
% 36.23/36.44 Resetting weight limit to 9 after 4780 givens.
% 36.23/36.44
% 36.23/36.44
% 36.23/36.44
% 36.23/36.44 Changing weight limit from 9 to 10.
% 36.23/36.44
% 36.23/36.44 Resetting weight limit to 10 after 4785 givens.
% 36.23/36.44
% 36.23/36.45
% 36.23/36.45
% 36.23/36.45 Changing weight limit from 10 to 11.
% 36.23/36.45
% 36.23/36.45 Resetting weight limit to 11 after 4790 givens.
% 36.23/36.45
% 36.23/36.45
% 36.23/36.45
% 36.23/36.45 Changing weight limit from 11 to 12.
% 36.23/36.45
% 36.23/36.45 Resetting weight limit to 12 after 4795 givens.
% 36.23/36.45
% 36.23/36.45
% 36.23/36.45
% 36.23/36.45 Changing weight limit from 12 to 13.
% 36.23/36.45
% 36.23/36.45 Resetting weight limit to 13 after 4800 givens.
% 36.23/36.45
% 36.23/36.46
% 36.23/36.46
% 36.23/36.46 Changing weight limit from 13 to 14.
% 36.23/36.46
% 36.23/36.46 Resetting weight limit to 14 after 4805 givens.
% 36.23/36.46
% 36.23/36.46
% 36.23/36.46
% 36.23/36.46 Changing weight limit from 14 to 15.
% 36.23/36.46
% 36.23/36.46 Resetting weight limit to 15 after 4810 givens.
% 36.23/36.46
% 36.23/36.46
% 36.23/36.46
% 36.23/36.46 Changing weight limit from 15 to 16.
% 36.23/36.46
% 36.23/36.46 Resetting weight limit to 16 after 4815 givens.
% 36.23/36.46
% 36.23/36.46
% 36.23/36.46
% 36.23/36.46 Changing weight limit from 16 to 17.
% 36.23/36.46
% 36.23/36.46 Resetting weight limit to 17 after 4820 givens.
% 36.23/36.46
% 36.23/36.47
% 36.23/36.47
% 36.23/36.47 Changing weight limit from 17 to 18.
% 36.23/36.47
% 36.23/36.47 Resetting weight limit to 18 after 4825 givens.
% 36.23/36.47
% 36.23/36.47
% 36.23/36.47
% 36.23/36.47 Changing weight limit from 18 to 19.
% 36.23/36.47
% 36.23/36.47 Resetting weight limit to 19 after 4830 givens.
% 36.23/36.47
% 36.23/36.48
% 36.23/36.48
% 36.23/36.48 Changing weight limit from 19 to 20.
% 36.23/36.48
% 36.23/36.48 Resetting weight limit to 20 after 4835 givens.
% 36.23/36.48
% 36.23/36.48
% 36.23/36.48
% 36.23/36.48 Changing weight limit from 20 to 21.
% 36.23/36.48
% 36.23/36.48 Resetting weight limit to 21 after 4840 givens.
% 36.23/36.48
% 36.23/36.48
% 36.23/36.48
% 36.23/36.48 Changing weight limit from 21 to 22.
% 36.23/36.48
% 36.23/36.48 Resetting weight limit to 22 after 4845 givens.
% 36.23/36.48
% 36.23/36.49
% 36.23/36.49
% 36.23/36.49 Changing weight limit from 22 to 23.
% 36.23/36.49
% 36.23/36.49 Resetting weight limit to 23 after 4850 givens.
% 36.23/36.49
% 36.30/36.49
% 36.30/36.49
% 36.30/36.49 Changing weight limit from 23 to 24.
% 36.30/36.49
% 36.30/36.49 Resetting weight limit to 24 after 4855 givens.
% 36.30/36.49
% 36.30/36.49
% 36.30/36.49
% 36.30/36.49 Changing weight limit from 24 to 25.
% 36.30/36.49
% 36.30/36.49 Resetting weight limit to 25 after 4860 givens.
% 36.30/36.49
% 36.30/36.50
% 36.30/36.50
% 36.30/36.50 Changing weight limit from 25 to 26.
% 36.30/36.50
% 36.30/36.50 Resetting weight limit to 26 after 4865 givens.
% 36.30/36.50
% 36.30/36.50
% 36.30/36.50
% 36.30/36.50 Changing weight limit from 26 to 27.
% 36.30/36.50
% 36.30/36.50 Resetting weight limit to 27 after 4870 givens.
% 36.30/36.50
% 36.30/36.51
% 36.30/36.51
% 36.30/36.51 Changing weight limit from 27 to 28.
% 36.30/36.51
% 36.30/36.51 Resetting weight limit to 28 after 4875 givens.
% 36.30/36.51
% 36.30/36.51
% 36.30/36.51
% 36.30/36.51 Changing weight limit from 28 to 29.
% 36.30/36.51
% 36.30/36.51 Resetting weight limit to 29 after 4880 givens.
% 36.30/36.51
% 36.30/36.52
% 36.30/36.52
% 36.30/36.52 Changing weight limit from 29 to 30.
% 36.30/36.52
% 36.30/36.52 Resetting weight limit to 30 after 4885 givens.
% 36.30/36.52
% 43.04/43.23
% 43.04/43.23
% 43.04/43.23 Changing weight limit from 30 to 10.
% 43.04/43.23
% 43.04/43.23 Resetting weight limit to 10 after 6300 givens.
% 43.04/43.23
% 43.21/43.41
% 43.21/43.41
% 43.21/43.41 Changing weight limit from 10 to 9.
% 43.21/43.41
% 43.21/43.41 Resetting weight limit to 9 after 6340 givens.
% 43.21/43.41
% 48.29/48.52
% 48.29/48.52
% 48.29/48.52 Changing weight limit from 9 to 8.
% 48.29/48.52
% 48.29/48.52 Resetting weight limit to 8 after 8285 givens.
% 48.29/48.52
% 50.43/50.64
% 50.43/50.64
% 50.43/50.64 Changing weight limit from 8 to 7.
% 50.43/50.64
% 50.43/50.64 Resetting weight limit to 7 after 8640 givens.
% 50.43/50.64
% 54.71/54.93
% 54.71/54.93
% 54.71/54.93 Changing weight limit from 7 to 5.
% 54.71/54.93
% 54.71/54.93 Resetting weight limit to 5 after 10710 givens.
% 54.71/54.93
% 57.09/57.30
% 57.09/57.30 -- HEY sandbox2, WE HAVE A PROOF!! --
% 57.09/57.30
% 57.09/57.30 ----> UNIT CONFLICT at 55.70 sec ----> 127944 [binary,127943.1,113.1] {-} $F.
% 57.09/57.30
% 57.09/57.30 Length of proof is 226. Level of proof is 29.
% 57.09/57.30
% 57.09/57.30 ---------------- PROOF ----------------
% 57.09/57.30 % SZS status Theorem
% 57.09/57.30 % SZS output start Refutation
% 57.09/57.30
% 57.09/57.30 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 57.09/57.30 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 57.09/57.30 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 57.09/57.30 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 57.09/57.30 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 57.09/57.30 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 57.09/57.30 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 57.09/57.30 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 57.09/57.30 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 57.09/57.30 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 57.09/57.30 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 57.09/57.30 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 57.09/57.30 16 [] {+} -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 57.09/57.30 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 57.09/57.30 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 57.09/57.30 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 57.09/57.30 41 [] {+} -cyclic(A,B,C,D)|eqangle(C,A,C,B,D,A,D,B).
% 57.09/57.30 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 57.09/57.30 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).
% 57.09/57.30 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 57.09/57.30 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 57.09/57.30 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 57.09/57.30 56 [] {+} -midp(A,B,C)| -perp(D,A,B,C)|cong(D,B,D,C).
% 57.09/57.30 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 57.09/57.30 58 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 57.09/57.30 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 57.09/57.30 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 57.09/57.30 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 57.09/57.30 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 57.09/57.30 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 57.09/57.30 99 [] {+} -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 57.09/57.30 113 [] {+} -cong($c9,$c3,$c9,$c2).
% 57.09/57.30 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 57.09/57.30 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 57.09/57.30 123 [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).
% 57.09/57.30 124 [factor,45.1.2] {+} -midp(A,B,C)|para(A,A,C,C).
% 57.09/57.30 126 [factor,58.1.2] {+} -cong(A,B,C,B)| -cyclic(A,C,B,B)|perp(B,A,A,B).
% 57.09/57.30 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 57.09/57.30 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 57.09/57.30 159 [] {-} circle($c6,$c9,$c8,$c7).
% 57.09/57.30 160 [] {-} perp($c5,$c7,$c9,$c8).
% 57.09/57.30 161 [] {-} coll($c5,$c9,$c8).
% 57.09/57.30 162 [] {-} perp($c4,$c8,$c9,$c7).
% 57.09/57.30 163 [] {-} coll($c4,$c9,$c7).
% 57.09/57.30 165 [] {-} coll($c3,$c7,$c5).
% 57.09/57.30 166 [] {-} coll($c2,$c7,$c5).
% 57.09/57.30 169 [hyper,159,99] {-} perp($f12($c9,$c8,$c7,$c6),$c9,$c9,$c6).
% 57.09/57.30 186 [hyper,161,114] {-} coll($c8,$c8,$c5).
% 57.09/57.30 187 [hyper,161,2] {-} coll($c9,$c5,$c8).
% 57.09/57.30 188 [hyper,161,1] {-} coll($c5,$c8,$c9).
% 57.09/57.30 202 [hyper,163,2] {-} coll($c9,$c4,$c7).
% 57.09/57.30 216 [hyper,165,114] {-} coll($c5,$c5,$c3).
% 57.09/57.30 217 [hyper,165,2] {-} coll($c7,$c3,$c5).
% 57.09/57.30 218 [hyper,165,1] {-} coll($c3,$c5,$c7).
% 57.09/57.30 231 [hyper,160,8] {-} perp($c9,$c8,$c5,$c7).
% 57.09/57.30 232 [hyper,160,7] {-} perp($c5,$c7,$c8,$c9).
% 57.09/57.30 249 [hyper,166,114] {-} coll($c5,$c5,$c2).
% 57.09/57.30 251 [hyper,166,1] {-} coll($c2,$c5,$c7).
% 57.09/57.30 279 [hyper,186,114] {-} coll($c5,$c5,$c8).
% 57.09/57.30 293 [hyper,187,114] {-} coll($c8,$c8,$c9).
% 57.09/57.30 294 [hyper,187,1] {-} coll($c9,$c8,$c5).
% 57.09/57.30 307 [hyper,162,8] {-} perp($c9,$c7,$c4,$c8).
% 57.09/57.30 308 [hyper,162,7] {-} perp($c4,$c8,$c7,$c9).
% 57.09/57.30 325 [hyper,188,114] {-} coll($c9,$c9,$c5).
% 57.09/57.30 353 [hyper,202,114] {-} coll($c7,$c7,$c9).
% 57.09/57.30 398 [hyper,216,114] {-} coll($c3,$c3,$c5).
% 57.09/57.30 399 [hyper,216,1] {-} coll($c5,$c3,$c5).
% 57.09/57.30 412 [hyper,217,114] {-} coll($c5,$c5,$c7).
% 57.09/57.30 426 [hyper,218,114] {-} coll($c7,$c7,$c3).
% 57.09/57.30 427 [hyper,218,2] {-} coll($c5,$c3,$c7).
% 57.09/57.30 440 [hyper,249,114] {-} coll($c2,$c2,$c5).
% 57.09/57.30 441 [hyper,249,3,216] {-} coll($c3,$c2,$c5).
% 57.09/57.30 442 [hyper,249,3,216] {-} coll($c2,$c3,$c5).
% 57.09/57.30 456 [hyper,169,8] {-} perp($c9,$c6,$f12($c9,$c8,$c7,$c6),$c9).
% 57.09/57.30 503 [hyper,251,114] {-} coll($c7,$c7,$c2).
% 57.09/57.30 660 [hyper,279,3,216] {-} coll($c3,$c8,$c5).
% 57.09/57.30 661 [hyper,279,3,249] {-} coll($c8,$c2,$c5).
% 57.09/57.30 663 [hyper,279,1] {-} coll($c5,$c8,$c5).
% 57.09/57.30 690 [hyper,293,114] {-} coll($c9,$c9,$c8).
% 57.09/57.30 804 [hyper,294,114] {-} coll($c5,$c5,$c9).
% 57.09/57.30 973 [hyper,353,114] {-} coll($c9,$c9,$c7).
% 57.09/57.30 1129 [hyper,398,1] {-} coll($c3,$c5,$c3).
% 57.09/57.30 1142 [hyper,399,114] {-} coll($c5,$c5,$c5).
% 57.09/57.30 1156 [hyper,412,114] {-} coll($c7,$c7,$c5).
% 57.09/57.30 1157 [hyper,412,3,279] {-} coll($c8,$c7,$c5).
% 57.09/57.30 1268 [hyper,426,3,353] {-} coll($c3,$c9,$c7).
% 57.09/57.30 1283 [hyper,427,3,399] {-} coll($c7,$c5,$c5).
% 57.09/57.30 1296 [hyper,440,1] {-} coll($c2,$c5,$c2).
% 57.09/57.30 1389 [hyper,441,1] {-} coll($c3,$c5,$c2).
% 57.09/57.30 1402 [hyper,442,1] {-} coll($c2,$c5,$c3).
% 57.09/57.30 1526 [hyper,503,3,353] {-} coll($c2,$c9,$c7).
% 57.09/57.30 1794 [hyper,660,1] {-} coll($c3,$c5,$c8).
% 57.09/57.30 1897 [hyper,663,2] {-} coll($c8,$c5,$c5).
% 57.09/57.30 2247 [hyper,973,3,690] {-} coll($c8,$c7,$c9).
% 57.09/57.30 2250 [hyper,973,3,325] {-} coll($c7,$c5,$c9).
% 57.09/57.30 2438 [hyper,1129,3,218] {-} coll($c3,$c7,$c3).
% 57.09/57.30 2517 [hyper,1156,3,353] {-} coll($c9,$c5,$c7).
% 57.09/57.30 2532 [hyper,1157,1] {-} coll($c8,$c5,$c7).
% 57.09/57.30 2742 [hyper,1268,1] {-} coll($c3,$c7,$c9).
% 57.09/57.30 2855 [hyper,1296,2] {-} coll($c5,$c2,$c2).
% 57.09/57.30 2891 [hyper,1402,3,251] {-} coll($c3,$c7,$c2).
% 57.09/57.30 3104 [hyper,1526,1] {-} coll($c2,$c7,$c9).
% 57.09/57.30 3604 [hyper,1794,3,1389] {-} coll($c8,$c2,$c3).
% 57.09/57.30 3605 [hyper,1794,3,1129] {-} coll($c8,$c3,$c3).
% 57.09/57.30 4399 [hyper,2247,1] {-} coll($c8,$c9,$c7).
% 57.09/57.30 4891 [hyper,2532,3,1897] {-} coll($c5,$c7,$c8).
% 57.09/57.30 4899 [hyper,2532,2] {-} coll($c5,$c8,$c7).
% 57.09/57.30 5011 [hyper,2742,114] {-} coll($c9,$c9,$c3).
% 57.09/57.30 5014 [hyper,2742,3,2438] {-} coll($c9,$c3,$c3).
% 57.09/57.30 5457 [hyper,2891,3,2742] {-} coll($c9,$c2,$c3).
% 57.09/57.30 5555 [hyper,3104,114] {-} coll($c9,$c9,$c2).
% 57.09/57.30 6244 [hyper,231,9,160] {-} para($c5,$c7,$c5,$c7).
% 57.09/57.30 6245 [hyper,231,9,160] {-} para($c9,$c8,$c9,$c8).
% 57.09/57.30 6246 [hyper,231,7] {-} perp($c9,$c8,$c7,$c5).
% 57.09/57.30 6313 [hyper,232,8] {-} perp($c8,$c9,$c5,$c7).
% 57.09/57.30 7752 [hyper,308,9,307] {-} para($c9,$c7,$c7,$c9).
% 57.09/57.30 7753 [hyper,308,8] {-} perp($c7,$c9,$c4,$c8).
% 57.09/57.30 7875 [hyper,6244,40] {-} eqangle($c5,$c7,A,B,$c5,$c7,A,B).
% 57.09/57.30 7998 [hyper,6245,40] {-} eqangle($c9,$c8,A,B,$c9,$c8,A,B).
% 57.09/57.30 8015 [hyper,6246,8] {-} perp($c7,$c5,$c9,$c8).
% 57.09/57.30 8558 [hyper,7753,9,308] {-} para($c7,$c9,$c7,$c9).
% 57.09/57.30 8699 [hyper,8015,9,6246] {-} para($c7,$c5,$c7,$c5).
% 57.09/57.30 9305 [hyper,8558,40] {-} eqangle($c7,$c9,A,B,$c7,$c9,A,B).
% 57.09/57.30 9541 [hyper,8699,40] {-} eqangle($c7,$c5,A,B,$c7,$c5,A,B).
% 57.09/57.30 9797 [hyper,456,9,169] {-} para($c9,$c6,$c9,$c6).
% 57.09/57.30 9799 [hyper,9797,67] {-} coll($c9,$c6,$c6).
% 57.09/57.30 9810 [hyper,9799,114] {-} coll($c6,$c6,$c9).
% 57.09/57.30 9812 [hyper,9799,2] {-} coll($c6,$c9,$c6).
% 57.09/57.30 9825 [hyper,9810,114] {-} coll($c9,$c9,$c6).
% 57.09/57.30 9870 [hyper,9825,3,5555] {-} coll($c6,$c2,$c9).
% 57.09/57.30 9873 [hyper,9825,3,973] {-} coll($c6,$c7,$c9).
% 57.09/57.30 9876 [hyper,9825,3,325] {-} coll($c6,$c5,$c9).
% 57.09/57.30 9999 [hyper,9870,1] {-} coll($c6,$c9,$c2).
% 57.09/57.30 10082 [hyper,9873,1] {-} coll($c6,$c9,$c7).
% 57.09/57.30 10161 [hyper,9876,1] {-} coll($c6,$c9,$c5).
% 57.09/57.30 10366 [hyper,9999,3,9812] {-} coll($c2,$c6,$c6).
% 57.09/57.30 10467 [hyper,10082,54,159] {-} perp($c9,$c8,$c8,$c7).
% 57.09/57.30 10600 [hyper,10161,114] {-} coll($c5,$c5,$c6).
% 57.09/57.30 12772 [hyper,10467,9,8015] {-} para($c7,$c5,$c8,$c7).
% 57.09/57.30 12773 [hyper,10467,9,160] {-} para($c5,$c7,$c8,$c7).
% 57.09/57.30 12775 [hyper,10467,7] {-} perp($c9,$c8,$c7,$c8).
% 57.09/57.30 13059 [hyper,12772,4] {-} para($c7,$c5,$c7,$c8).
% 57.09/57.30 13198 [hyper,12773,4] {-} para($c5,$c7,$c7,$c8).
% 57.09/57.30 13201 [hyper,12775,8] {-} perp($c7,$c8,$c9,$c8).
% 57.09/57.30 13618 [hyper,13059,5] {-} para($c7,$c8,$c7,$c5).
% 57.09/57.30 13893 [hyper,13198,5] {-} para($c7,$c8,$c5,$c7).
% 57.09/57.30 14177 [hyper,13201,9,12775] {-} para($c7,$c8,$c7,$c8).
% 57.09/57.30 18366 [hyper,7875,43,10600] {-} cyclic($c7,$c6,$c5,$c5).
% 57.09/57.30 18368 [hyper,7875,43,1142] {-} cyclic($c7,$c5,$c5,$c5).
% 57.09/57.30 18369 [hyper,7875,43,804] {-} cyclic($c7,$c9,$c5,$c5).
% 57.09/57.30 18370 [hyper,7875,43,412] {-} cyclic($c7,$c7,$c5,$c5).
% 57.09/57.30 18371 [hyper,7875,43,279] {-} cyclic($c7,$c8,$c5,$c5).
% 57.09/57.30 18372 [hyper,7875,43,249] {-} cyclic($c7,$c2,$c5,$c5).
% 57.09/57.30 18373 [hyper,7875,43,216] {-} cyclic($c7,$c3,$c5,$c5).
% 57.09/57.30 18378 [hyper,18366,15] {-} cyclic($c7,$c5,$c6,$c5).
% 57.09/57.30 18386 [hyper,18369,15] {-} cyclic($c7,$c5,$c9,$c5).
% 57.09/57.30 18390 [hyper,18370,15] {-} cyclic($c7,$c5,$c7,$c5).
% 57.09/57.30 18393 [hyper,18371,15] {-} cyclic($c7,$c5,$c8,$c5).
% 57.09/57.30 18394 [hyper,18372,120] {-} cyclic($c2,$c5,$c5,$c5).
% 57.09/57.30 18395 [hyper,18372,16] {-} cyclic($c2,$c7,$c5,$c5).
% 57.09/57.30 18396 [hyper,18372,15] {-} cyclic($c7,$c5,$c2,$c5).
% 57.09/57.30 18398 [hyper,18373,16] {-} cyclic($c3,$c7,$c5,$c5).
% 57.09/57.30 18399 [hyper,18373,15] {-} cyclic($c7,$c5,$c3,$c5).
% 57.09/57.30 18408 [hyper,18378,14] {-} cyclic($c7,$c5,$c5,$c6).
% 57.09/57.30 18428 [hyper,18386,14] {-} cyclic($c7,$c5,$c5,$c9).
% 57.09/57.30 18431 [hyper,18390,14] {-} cyclic($c7,$c5,$c5,$c7).
% 57.09/57.30 18440 [hyper,18393,14] {-} cyclic($c7,$c5,$c5,$c8).
% 57.09/57.30 18442 [hyper,18394,16] {-} cyclic($c5,$c2,$c5,$c5).
% 57.09/57.30 18446 [hyper,18395,15] {-} cyclic($c2,$c5,$c7,$c5).
% 57.09/57.30 18449 [hyper,18396,14] {-} cyclic($c7,$c5,$c5,$c2).
% 57.09/57.30 18452 [hyper,18398,15] {-} cyclic($c3,$c5,$c7,$c5).
% 57.09/57.30 18458 [hyper,18399,14] {-} cyclic($c7,$c5,$c5,$c3).
% 57.09/57.30 18499 [hyper,18428,120] {-} cyclic($c5,$c5,$c9,$c9).
% 57.09/57.30 18509 [hyper,18431,123,18368,7875] {-} cong($c7,$c5,$c7,$c5).
% 57.09/57.30 18513 [hyper,18431,17,18428] {-} cyclic($c5,$c5,$c9,$c7).
% 57.09/57.30 18529 [hyper,18440,120] {-} cyclic($c5,$c5,$c8,$c8).
% 57.09/57.30 18537 [hyper,18440,17,18428] {-} cyclic($c5,$c5,$c8,$c9).
% 57.09/57.30 18544 [hyper,18442,15] {-} cyclic($c5,$c5,$c2,$c5).
% 57.09/57.30 18546 [hyper,18446,16] {-} cyclic($c5,$c2,$c7,$c5).
% 57.09/57.30 18550 [hyper,18449,120] {-} cyclic($c5,$c5,$c2,$c2).
% 57.09/57.30 18558 [hyper,18449,17,18440] {-} cyclic($c5,$c5,$c2,$c8).
% 57.09/57.30 18559 [hyper,18449,17,18431] {-} cyclic($c5,$c5,$c2,$c7).
% 57.09/57.30 18562 [hyper,18449,17,18408] {-} cyclic($c5,$c5,$c2,$c6).
% 57.09/57.30 18569 [hyper,18452,16] {-} cyclic($c5,$c3,$c7,$c5).
% 57.09/57.30 18573 [hyper,18458,120] {-} cyclic($c5,$c5,$c3,$c3).
% 57.09/57.30 18576 [hyper,18458,17,18440] {-} cyclic($c5,$c5,$c8,$c3).
% 57.09/57.30 18578 [hyper,18458,17,18428] {-} cyclic($c5,$c5,$c9,$c3).
% 57.09/57.30 18584 [hyper,18458,17,18431] {-} cyclic($c5,$c5,$c3,$c7).
% 57.09/57.30 18699 [hyper,18509,126,18370] {-} perp($c5,$c7,$c7,$c5).
% 57.09/57.30 18705 [hyper,18509,68,1283] {-} midp($c7,$c5,$c5).
% 57.09/57.30 18710 [hyper,18705,129,6244] {-} midp($c7,$c7,$c7).
% 57.09/57.30 18713 [hyper,18705,46,13893,2532] {-} midp($c8,$c5,$c7).
% 57.09/57.30 18720 [hyper,18710,129,14177] {-} midp($c7,$c8,$c8).
% 57.09/57.30 18721 [hyper,18710,129,8558] {-} midp($c7,$c9,$c9).
% 57.09/57.30 18726 [hyper,18710,65,13618,13059] {-} midp($c7,$c8,$c5).
% 57.09/57.30 18727 [hyper,18710,65,13059,13618] {-} midp($c7,$c5,$c8).
% 57.09/57.30 18730 [hyper,18710,46,13059,4891] {-} midp($c5,$c7,$c8).
% 57.09/57.30 18736 [hyper,18713,124] {-} para($c8,$c8,$c7,$c7).
% 57.09/57.30 18748 [hyper,18713,56,231] {-} cong($c9,$c5,$c9,$c7).
% 57.09/57.30 18787 [hyper,18720,69] {-} cong($c7,$c8,$c7,$c8).
% 57.09/57.30 18791 [hyper,18720,46,12772,4899] {-} midp($c5,$c8,$c7).
% 57.09/57.30 18797 [hyper,18721,129,9797] {-} midp($c7,$c6,$c6).
% 57.09/57.30 18856 [hyper,18727,128] {-} para($c5,$c5,$c8,$c8).
% 57.09/57.30 18885 [hyper,18727,64,18721] {-} para($c9,$c5,$c9,$c8).
% 57.09/57.30 18888 [hyper,18727,64,18726] {-} para($c5,$c8,$c8,$c5).
% 57.09/57.30 19010 [hyper,18730,69] {-} cong($c5,$c7,$c5,$c8).
% 57.09/57.30 19294 [hyper,18791,69] {-} cong($c5,$c8,$c5,$c7).
% 57.09/57.30 19364 [hyper,18797,64,18727] {-} para($c5,$c6,$c8,$c6).
% 57.09/57.30 20045 [hyper,18559,120] {-} cyclic($c5,$c2,$c7,$c7).
% 57.09/57.30 20050 [hyper,18559,17,18550] {-} cyclic($c5,$c2,$c7,$c2).
% 57.09/57.30 20076 [hyper,18562,120] {-} cyclic($c5,$c2,$c6,$c6).
% 57.09/57.30 20087 [hyper,18562,17,18558] {-} cyclic($c5,$c2,$c6,$c8).
% 57.09/57.30 20088 [hyper,18562,17,18550] {-} cyclic($c5,$c2,$c6,$c2).
% 57.09/57.30 20089 [hyper,18562,17,18544] {-} cyclic($c5,$c2,$c6,$c5).
% 57.09/57.30 20134 [hyper,18576,120] {-} cyclic($c5,$c8,$c3,$c3).
% 57.09/57.30 20146 [hyper,18576,17,18537] {-} cyclic($c5,$c8,$c3,$c9).
% 57.09/57.30 20148 [hyper,18576,17,18529] {-} cyclic($c5,$c8,$c3,$c8).
% 57.09/57.30 20164 [hyper,18578,120] {-} cyclic($c5,$c9,$c3,$c3).
% 57.09/57.30 20175 [hyper,18578,17,18513] {-} cyclic($c5,$c9,$c3,$c7).
% 57.09/57.30 20178 [hyper,18578,17,18499] {-} cyclic($c5,$c9,$c3,$c9).
% 57.09/57.30 20233 [hyper,18584,120] {-} cyclic($c5,$c3,$c7,$c7).
% 57.09/57.30 20240 [hyper,18584,17,18573] {-} cyclic($c5,$c3,$c7,$c3).
% 57.09/57.30 20867 [hyper,18699,9,6313] {-} para($c8,$c9,$c7,$c5).
% 57.09/57.30 21625 [hyper,18748,68,2517] {-} midp($c9,$c5,$c7).
% 57.09/57.30 21742 [hyper,21625,46,7752,2250] {-} midp($c7,$c5,$c9).
% 57.09/57.30 21981 [hyper,21742,11] {-} midp($c7,$c9,$c5).
% 57.09/57.30 22087 [hyper,21981,46,13893,4399] {-} midp($c8,$c9,$c7).
% 57.09/57.30 23728 [hyper,18787,57,18509] {-} perp($c7,$c7,$c8,$c5).
% 57.09/57.30 29045 [hyper,19294,25,19010] {-} cong($c5,$c8,$c5,$c8).
% 57.09/57.30 33043 [hyper,7998,43,5011] {-} cyclic($c8,$c3,$c9,$c9).
% 57.09/57.30 34446 [hyper,20087,17,20076] {-} cyclic($c2,$c6,$c8,$c6).
% 57.09/57.30 34449 [hyper,20088,17,20087] {-} cyclic($c2,$c6,$c8,$c2).
% 57.09/57.30 34462 [hyper,20089,17,20087] {-} cyclic($c2,$c6,$c8,$c5).
% 57.09/57.30 34881 [hyper,20146,17,20134] {-} cyclic($c8,$c3,$c9,$c3).
% 57.09/57.30 34900 [hyper,20148,17,20146] {-} cyclic($c8,$c3,$c9,$c8).
% 57.09/57.30 35238 [hyper,20175,120] {-} cyclic($c9,$c3,$c7,$c7).
% 57.09/57.30 35245 [hyper,20175,17,20164] {-} cyclic($c9,$c3,$c7,$c3).
% 57.09/57.30 35282 [hyper,20178,17,20175] {-} cyclic($c9,$c3,$c7,$c9).
% 57.09/57.30 36490 [hyper,9541,44,18569,20240,20233] {-} cong($c5,$c3,$c5,$c3).
% 57.09/57.30 36491 [hyper,9541,44,18546,20050,20045] {-} cong($c5,$c2,$c5,$c2).
% 57.09/57.30 36955 [hyper,20867,46,22087,325] {-} midp($c9,$c9,$c5).
% 57.09/57.30 37044 [hyper,36955,11] {-} midp($c9,$c5,$c9).
% 57.09/57.30 37310 [hyper,37044,46,18885,279] {-} midp($c5,$c5,$c8).
% 57.09/57.30 38003 [hyper,37310,129,19364] {-} midp($c5,$c6,$c6).
% 57.09/57.30 38098 [hyper,37310,65,18888,18856] {-} midp($c5,$c8,$c5).
% 57.09/57.30 44889 [hyper,23728,10,18736] {-} perp($c8,$c8,$c8,$c5).
% 57.09/57.30 46568 [hyper,34462,41] {-} eqangle($c8,$c2,$c8,$c6,$c5,$c2,$c5,$c6).
% 57.09/57.30 48828 [hyper,34900,44,34881,33043,7998] {-} cong($c8,$c3,$c8,$c3).
% 57.09/57.30 51616 [hyper,35282,44,35245,35238,9305] {-} cong($c9,$c3,$c9,$c3).
% 57.09/57.30 59699 [hyper,36490,58,29045,18576] {-} perp($c8,$c5,$c5,$c3).
% 57.09/57.30 61730 [hyper,36491,68,2855] {-} midp($c5,$c2,$c2).
% 57.09/57.30 63702 [hyper,61730,64,38003] {-} para($c6,$c2,$c6,$c2).
% 57.09/57.30 63732 [hyper,61730,64,38098] {-} para($c2,$c8,$c2,$c5).
% 57.09/57.30 103879 [hyper,46568,44,34449,34446,34462] {-} cong($c2,$c6,$c2,$c6).
% 57.09/57.30 104825 [hyper,48828,68,3605] {-} midp($c8,$c3,$c3).
% 57.09/57.30 105315 [hyper,51616,68,5014] {-} midp($c9,$c3,$c3).
% 57.09/57.30 105797 [hyper,105315,45,104825] {-} para($c8,$c9,$c3,$c3).
% 57.09/57.30 107092 [hyper,59699,9,44889] {-} para($c8,$c8,$c5,$c3).
% 57.09/57.30 124611 [hyper,103879,68,10366] {-} midp($c2,$c6,$c6).
% 57.09/57.30 124612 [hyper,124611,129,63702] {-} midp($c2,$c2,$c2).
% 57.09/57.30 124759 [hyper,124612,46,63732,661] {-} midp($c8,$c2,$c5).
% 57.09/57.30 127821 [hyper,107092,46,124759,3604] {-} midp($c8,$c2,$c3).
% 57.09/57.30 127825 [hyper,127821,46,105797,5457] {-} midp($c9,$c2,$c3).
% 57.09/57.30 127854 [hyper,127825,11] {-} midp($c9,$c3,$c2).
% 57.09/57.30 127943 [hyper,127854,69] {-} cong($c9,$c3,$c9,$c2).
% 57.09/57.30 127944 [binary,127943.1,113.1] {-} $F.
% 57.09/57.30
% 57.09/57.30 % SZS output end Refutation
% 57.09/57.30 ------------ end of proof -------------
% 57.09/57.30
% 57.09/57.30
% 57.09/57.30 Search stopped by max_proofs option.
% 57.09/57.30
% 57.09/57.30
% 57.09/57.30 Search stopped by max_proofs option.
% 57.09/57.30
% 57.09/57.30 ============ end of search ============
% 57.09/57.30
% 57.09/57.30 That finishes the proof of the theorem.
% 57.09/57.30
% 57.09/57.30 Process 24034 finished Sat Jun 18 07:03:50 2022
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