TSTP Solution File: GEO556+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO556+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n020.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 06:20:53 EDT 2022

% Result   : Theorem 223.33s 223.51s
% Output   : Refutation 223.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GEO556+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.13  % Command  : sos-script %s
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jun 18 10:11:48 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.37  ----- Otter 3.2, August 2001 -----
% 0.14/0.37  The process was started by sandbox2 on n020.cluster.edu,
% 0.14/0.37  Sat Jun 18 10:11:48 2022
% 0.14/0.37  The command was "./sos".  The process ID is 32724.
% 0.14/0.37  
% 0.14/0.37  set(prolog_style_variables).
% 0.14/0.37  set(auto).
% 0.14/0.37     dependent: set(auto1).
% 0.14/0.37     dependent: set(process_input).
% 0.14/0.37     dependent: clear(print_kept).
% 0.14/0.37     dependent: clear(print_new_demod).
% 0.14/0.37     dependent: clear(print_back_demod).
% 0.14/0.37     dependent: clear(print_back_sub).
% 0.14/0.37     dependent: set(control_memory).
% 0.14/0.37     dependent: assign(max_mem, 12000).
% 0.14/0.37     dependent: assign(pick_given_ratio, 4).
% 0.14/0.37     dependent: assign(stats_level, 1).
% 0.14/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.37     dependent: assign(sos_limit, 5000).
% 0.14/0.37     dependent: assign(max_weight, 60).
% 0.14/0.37  clear(print_given).
% 0.14/0.37  
% 0.14/0.37  formula_list(usable).
% 0.14/0.37  
% 0.14/0.37  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.14/0.37  
% 0.14/0.37  This ia a non-Horn set with equality.  The strategy will be
% 0.14/0.37  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.14/0.37  unit deletion, with positive clauses in sos and nonpositive
% 0.14/0.37  clauses in usable.
% 0.14/0.37  
% 0.14/0.37     dependent: set(knuth_bendix).
% 0.14/0.37     dependent: set(para_from).
% 0.14/0.37     dependent: set(para_into).
% 0.14/0.37     dependent: clear(para_from_right).
% 0.14/0.37     dependent: clear(para_into_right).
% 0.14/0.37     dependent: set(para_from_vars).
% 0.14/0.37     dependent: set(eq_units_both_ways).
% 0.14/0.37     dependent: set(dynamic_demod_all).
% 0.14/0.37     dependent: set(dynamic_demod).
% 0.14/0.37     dependent: set(order_eq).
% 0.14/0.37     dependent: set(back_demod).
% 0.14/0.37     dependent: set(lrpo).
% 0.14/0.37     dependent: set(hyper_res).
% 0.14/0.37     dependent: set(unit_deletion).
% 0.14/0.37     dependent: set(factor).
% 0.14/0.37  
% 0.14/0.37  ------------> process usable:
% 0.14/0.37    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).
% 0.14/0.37  
% 0.14/0.37  ------------> process sos:
% 0.14/0.37    Following clause subsumed by 174 during input processing: 0 [copy,174,flip.1] {-} A=A.
% 0.14/0.37  174 back subsumes 146.
% 0.14/0.37  174 back subsumes 145.
% 0.14/0.37  174 back subsumes 144.
% 0.14/0.37  174 back subsumes 143.
% 0.14/0.37  
% 0.14/0.37  ======= end of input processing =======
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  Failed to model usable list: disabling FINDER
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  -------------- Softie stats --------------
% 0.20/0.44  
% 0.20/0.44  UPDATE_STOP: 300
% 0.20/0.44  SFINDER_TIME_LIMIT: 2
% 0.20/0.44  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.44  number of clauses in intial UL: 154
% 0.20/0.44  number of clauses initially in problem: 170
% 0.20/0.44  percentage of clauses intially in UL: 90
% 0.20/0.44  percentage of distinct symbols occuring in initial UL: 83
% 0.20/0.44  percent of all initial clauses that are short: 100
% 0.20/0.44  absolute distinct symbol count: 43
% 0.20/0.44     distinct predicate count: 12
% 0.20/0.44     distinct function count: 20
% 0.20/0.44     distinct constant count: 11
% 0.20/0.44  
% 0.20/0.44  ---------- no more Softie stats ----------
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  =========== start of search ===========
% 7.03/7.25  
% 7.03/7.25  
% 7.03/7.25  Changing weight limit from 60 to 56.
% 7.03/7.25  
% 7.03/7.25  Resetting weight limit to 56 after 255 givens.
% 7.03/7.25  
% 8.56/8.75  
% 8.56/8.75  
% 8.56/8.75  Changing weight limit from 56 to 55.
% 8.56/8.75  
% 8.56/8.75  Resetting weight limit to 55 after 265 givens.
% 8.56/8.75  
% 11.51/11.76  
% 11.51/11.76  
% 11.51/11.76  Changing weight limit from 55 to 54.
% 11.51/11.76  
% 11.51/11.76  Resetting weight limit to 54 after 295 givens.
% 11.51/11.76  
% 12.81/12.99  
% 12.81/12.99  
% 12.81/12.99  Changing weight limit from 54 to 51.
% 12.81/12.99  
% 12.81/12.99  Modelling stopped after 300 given clauses and 0.00 seconds
% 12.81/12.99  
% 12.81/12.99  
% 12.81/12.99  Resetting weight limit to 51 after 315 givens.
% 12.81/12.99  
% 14.94/15.19  
% 14.94/15.19  
% 14.94/15.19  Changing weight limit from 51 to 50.
% 14.94/15.19  
% 14.94/15.19  Resetting weight limit to 50 after 355 givens.
% 14.94/15.19  
% 18.73/18.97  
% 18.73/18.97  
% 18.73/18.97  Changing weight limit from 50 to 49.
% 18.73/18.97  
% 18.73/18.97  Resetting weight limit to 49 after 415 givens.
% 18.73/18.97  
% 20.32/20.54  
% 20.32/20.54  
% 20.32/20.54  Changing weight limit from 49 to 46.
% 20.32/20.54  
% 20.32/20.54  Resetting weight limit to 46 after 440 givens.
% 20.32/20.54  
% 20.60/20.80  
% 20.60/20.80  
% 20.60/20.80  Changing weight limit from 46 to 45.
% 20.60/20.80  
% 20.60/20.80  Resetting weight limit to 45 after 445 givens.
% 20.60/20.80  
% 21.34/21.55  
% 21.34/21.55  
% 21.34/21.55  Changing weight limit from 45 to 44.
% 21.34/21.55  
% 21.34/21.55  Resetting weight limit to 44 after 460 givens.
% 21.34/21.55  
% 21.53/21.79  
% 21.53/21.79  
% 21.53/21.79  Changing weight limit from 44 to 31.
% 21.53/21.79  
% 21.53/21.79  Resetting weight limit to 31 after 465 givens.
% 21.53/21.79  
% 21.72/21.97  
% 21.72/21.97  
% 21.72/21.97  Changing weight limit from 31 to 30.
% 21.72/21.97  
% 21.72/21.97  Resetting weight limit to 30 after 470 givens.
% 21.72/21.97  
% 32.84/33.10  
% 32.84/33.10  
% 32.84/33.10  Changing weight limit from 30 to 29.
% 32.84/33.10  
% 32.84/33.10  Resetting weight limit to 29 after 985 givens.
% 32.84/33.10  
% 37.76/37.97  
% 37.76/37.97  
% 37.76/37.97  Changing weight limit from 29 to 10.
% 37.76/37.97  
% 37.76/37.97  Resetting weight limit to 10 after 1705 givens.
% 37.76/37.97  
% 40.34/40.55  
% 40.34/40.55  
% 40.34/40.55  Changing weight limit from 10 to 9.
% 40.34/40.55  
% 40.34/40.55  Resetting weight limit to 9 after 2360 givens.
% 40.34/40.55  
% 41.36/41.53  
% 41.36/41.53  
% 41.36/41.53  Changing weight limit from 9 to 5.
% 41.36/41.53  
% 41.36/41.53  Resetting weight limit to 5 after 3035 givens.
% 41.36/41.53  
% 44.24/44.41  
% 44.24/44.41  
% 44.24/44.41  Changing weight limit from 5 to 6.
% 44.24/44.41  
% 44.24/44.41  Resetting weight limit to 6 after 5850 givens.
% 44.24/44.41  
% 44.24/44.42  
% 44.24/44.42  
% 44.24/44.42  Changing weight limit from 6 to 7.
% 44.24/44.42  
% 44.24/44.42  Resetting weight limit to 7 after 5855 givens.
% 44.24/44.42  
% 44.24/44.42  
% 44.24/44.42  
% 44.24/44.42  Changing weight limit from 7 to 8.
% 44.24/44.42  
% 44.24/44.42  Resetting weight limit to 8 after 5860 givens.
% 44.24/44.42  
% 44.24/44.42  
% 44.24/44.42  
% 44.24/44.42  Changing weight limit from 8 to 9.
% 44.24/44.42  
% 44.24/44.42  Resetting weight limit to 9 after 5865 givens.
% 44.24/44.42  
% 44.24/44.42  
% 44.24/44.42  
% 44.24/44.42  Changing weight limit from 9 to 10.
% 44.24/44.42  
% 44.24/44.42  Resetting weight limit to 10 after 5870 givens.
% 44.24/44.42  
% 44.24/44.43  
% 44.24/44.43  
% 44.24/44.43  Changing weight limit from 10 to 11.
% 44.24/44.43  
% 44.24/44.43  Resetting weight limit to 11 after 5875 givens.
% 44.24/44.43  
% 44.24/44.43  
% 44.24/44.43  
% 44.24/44.43  Changing weight limit from 11 to 12.
% 44.24/44.43  
% 44.24/44.43  Resetting weight limit to 12 after 5880 givens.
% 44.24/44.43  
% 44.24/44.43  
% 44.24/44.43  
% 44.24/44.43  Changing weight limit from 12 to 13.
% 44.24/44.43  
% 44.24/44.43  Resetting weight limit to 13 after 5885 givens.
% 44.24/44.43  
% 44.24/44.44  
% 44.24/44.44  
% 44.24/44.44  Changing weight limit from 13 to 14.
% 44.24/44.44  
% 44.24/44.44  Resetting weight limit to 14 after 5890 givens.
% 44.24/44.44  
% 44.24/44.44  
% 44.24/44.44  
% 44.24/44.44  Changing weight limit from 14 to 15.
% 44.24/44.44  
% 44.24/44.44  Resetting weight limit to 15 after 5895 givens.
% 44.24/44.44  
% 44.24/44.44  
% 44.24/44.44  
% 44.24/44.44  Changing weight limit from 15 to 16.
% 44.24/44.44  
% 44.24/44.44  Resetting weight limit to 16 after 5900 givens.
% 44.24/44.44  
% 44.24/44.45  
% 44.24/44.45  
% 44.24/44.45  Changing weight limit from 16 to 17.
% 44.24/44.45  
% 44.24/44.45  Resetting weight limit to 17 after 5905 givens.
% 44.24/44.45  
% 46.22/46.41  
% 46.22/46.41  
% 46.22/46.41  Changing weight limit from 17 to 10.
% 46.22/46.41  
% 46.22/46.41  Resetting weight limit to 10 after 7755 givens.
% 46.22/46.41  
% 47.02/47.24  
% 47.02/47.24  
% 47.02/47.24  Changing weight limit from 10 to 9.
% 47.02/47.24  
% 47.02/47.24  Resetting weight limit to 9 after 8285 givens.
% 47.02/47.24  
% 48.12/48.33  
% 48.12/48.33  
% 48.12/48.33  Changing weight limit from 9 to 5.
% 48.12/48.33  
% 48.12/48.33  Resetting weight limit to 5 after 8915 givens.
% 48.12/48.33  
% 104.37/104.55  
% 104.37/104.55  
% 104.37/104.55  Changing weight limit from 5 to 6.
% 104.37/104.55  
% 104.37/104.55  Resetting weight limit to 6 after 17670 givens.
% 104.37/104.55  
% 104.37/104.57  
% 104.37/104.57  
% 104.37/104.57  Changing weight limit from 6 to 7.
% 104.37/104.57  
% 104.37/104.57  Resetting weight limit to 7 after 17675 givens.
% 104.37/104.57  
% 104.37/104.58  
% 104.37/104.58  
% 104.37/104.58  Changing weight limit from 7 to 8.
% 104.37/104.58  
% 104.37/104.58  Resetting weight limit to 8 after 17680 givens.
% 104.37/104.58  
% 104.43/104.59  
% 104.43/104.59  
% 104.43/104.59  Changing weight limit from 8 to 9.
% 104.43/104.59  
% 104.43/104.59  Resetting weight limit to 9 after 17685 givens.
% 104.43/104.59  
% 104.43/104.60  
% 104.43/104.60  
% 104.43/104.60  Changing weight limit from 9 to 10.
% 104.43/104.60  
% 104.43/104.60  Resetting weight limit to 10 after 17690 givens.
% 104.43/104.60  
% 104.43/104.61  
% 104.43/104.61  
% 104.43/104.61  Changing weight limit from 10 to 11.
% 104.43/104.61  
% 104.43/104.61  Resetting weight limit to 11 after 17695 givens.
% 104.43/104.61  
% 104.43/104.62  
% 104.43/104.62  
% 104.43/104.62  Changing weight limit from 11 to 12.
% 104.43/104.62  
% 104.43/104.62  Resetting weight limit to 12 after 17700 givens.
% 104.43/104.62  
% 104.43/104.64  
% 104.43/104.64  
% 104.43/104.64  Changing weight limit from 12 to 13.
% 104.43/104.64  
% 104.43/104.64  Resetting weight limit to 13 after 17705 givens.
% 104.43/104.64  
% 107.91/108.09  
% 107.91/108.09  
% 107.91/108.09  Changing weight limit from 13 to 10.
% 107.91/108.09  
% 107.91/108.09  Resetting weight limit to 10 after 18820 givens.
% 107.91/108.09  
% 108.37/108.54  
% 108.37/108.54  
% 108.37/108.54  Changing weight limit from 10 to 9.
% 108.37/108.54  
% 108.37/108.54  Resetting weight limit to 9 after 18875 givens.
% 108.37/108.54  
% 110.75/110.94  
% 110.75/110.94  
% 110.75/110.94  Changing weight limit from 9 to 8.
% 110.75/110.94  
% 110.75/110.94  Resetting weight limit to 8 after 19430 givens.
% 110.75/110.94  
% 110.78/110.98  
% 110.78/110.98  
% 110.78/110.98  Changing weight limit from 8 to 5.
% 110.78/110.98  
% 110.78/110.98  Resetting weight limit to 5 after 19440 givens.
% 110.78/110.98  
% 223.33/223.51  
% 223.33/223.51  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 223.33/223.51  
% 223.33/223.51  ----> UNIT CONFLICT at 216.55 sec ----> 744553 [binary,744552.1,113.1] {-} $F.
% 223.33/223.51  
% 223.33/223.51  Length of proof is 258.  Level of proof is 22.
% 223.33/223.51  
% 223.33/223.51  ---------------- PROOF ----------------
% 223.33/223.51  % SZS status Theorem
% 223.33/223.51  % SZS output start Refutation
% 223.33/223.51  
% 223.33/223.51  1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 223.33/223.51  2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 223.33/223.51  3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 223.33/223.51  4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 223.33/223.51  5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 223.33/223.51  6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 223.33/223.51  7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 223.33/223.51  8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 223.33/223.51  9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 223.33/223.51  10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 223.33/223.51  11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 223.33/223.51  14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 223.33/223.51  15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 223.33/223.51  16 [] {+} -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 223.33/223.51  17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 223.33/223.51  25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 223.33/223.51  40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 223.33/223.51  43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 223.33/223.51  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).
% 223.33/223.51  46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 223.33/223.51  57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 223.33/223.51  58 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 223.33/223.51  64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 223.33/223.51  65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 223.33/223.51  68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 223.33/223.51  69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 223.33/223.51  113 [] {+} -perp($c9,$c1,$c7,$c6).
% 223.33/223.51  114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 223.33/223.51  120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 223.33/223.51  123 [factor,44.2.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,E)|cong(A,B,D,E).
% 223.33/223.51  129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 223.33/223.51  159 [] {-} coll($c8,$c11,$c10).
% 223.33/223.51  160 [] {-} perp($c7,$c8,$c11,$c9).
% 223.33/223.51  161 [] {-} coll($c7,$c11,$c9).
% 223.33/223.51  162 [] {-} perp($c6,$c8,$c10,$c9).
% 223.33/223.51  163 [] {-} coll($c6,$c10,$c9).
% 223.33/223.51  168 [] {-} perp($c3,$c6,$c11,$c9).
% 223.33/223.51  169 [] {-} coll($c3,$c11,$c9).
% 223.33/223.51  170 [] {-} perp($c2,$c7,$c10,$c9).
% 223.33/223.51  171 [] {-} coll($c2,$c10,$c9).
% 223.33/223.51  173 [] {-} coll($c1,$c7,$c2).
% 223.33/223.51  175 [hyper,159,114] {-} coll($c10,$c10,$c8).
% 223.33/223.51  177 [hyper,159,1] {-} coll($c8,$c10,$c11).
% 223.33/223.51  190 [hyper,161,114] {-} coll($c9,$c9,$c7).
% 223.33/223.51  191 [hyper,161,2] {-} coll($c11,$c7,$c9).
% 223.33/223.51  192 [hyper,161,1] {-} coll($c7,$c9,$c11).
% 223.33/223.51  205 [hyper,163,114] {-} coll($c9,$c9,$c6).
% 223.33/223.51  206 [hyper,163,2] {-} coll($c10,$c6,$c9).
% 223.33/223.51  207 [hyper,163,1] {-} coll($c6,$c9,$c10).
% 223.33/223.51  235 [hyper,160,8] {-} perp($c11,$c9,$c7,$c8).
% 223.33/223.51  268 [hyper,169,114] {-} coll($c9,$c9,$c3).
% 223.33/223.51  270 [hyper,169,1] {-} coll($c3,$c9,$c11).
% 223.33/223.51  283 [hyper,171,114] {-} coll($c9,$c9,$c2).
% 223.33/223.51  285 [hyper,171,1] {-} coll($c2,$c9,$c10).
% 223.33/223.51  313 [hyper,162,8] {-} perp($c10,$c9,$c6,$c8).
% 223.33/223.51  332 [hyper,173,2] {-} coll($c7,$c1,$c2).
% 223.33/223.51  333 [hyper,173,1] {-} coll($c1,$c2,$c7).
% 223.33/223.51  347 [hyper,175,1] {-} coll($c10,$c8,$c10).
% 223.33/223.51  374 [hyper,177,114] {-} coll($c11,$c11,$c8).
% 223.33/223.51  406 [hyper,190,114] {-} coll($c7,$c7,$c9).
% 223.33/223.51  420 [hyper,191,114] {-} coll($c9,$c9,$c11).
% 223.33/223.51  421 [hyper,191,1] {-} coll($c11,$c9,$c7).
% 223.33/223.51  434 [hyper,192,114] {-} coll($c11,$c11,$c7).
% 223.33/223.51  448 [hyper,205,114] {-} coll($c6,$c6,$c9).
% 223.33/223.51  449 [hyper,205,3,190] {-} coll($c7,$c6,$c9).
% 223.33/223.51  482 [hyper,206,114] {-} coll($c9,$c9,$c10).
% 223.33/223.51  496 [hyper,207,114] {-} coll($c10,$c10,$c6).
% 223.33/223.51  541 [hyper,168,8] {-} perp($c11,$c9,$c3,$c6).
% 223.33/223.51  620 [hyper,170,8] {-} perp($c10,$c9,$c2,$c7).
% 223.33/223.51  638 [hyper,268,114] {-} coll($c3,$c3,$c9).
% 223.33/223.51  642 [hyper,268,3,190] {-} coll($c7,$c3,$c9).
% 223.33/223.51  673 [hyper,270,114] {-} coll($c11,$c11,$c3).
% 223.33/223.51  688 [hyper,283,3,268] {-} coll($c3,$c2,$c9).
% 223.33/223.51  692 [hyper,283,3,190] {-} coll($c7,$c2,$c9).
% 223.33/223.51  696 [hyper,283,3,205] {-} coll($c2,$c6,$c9).
% 223.33/223.51  697 [hyper,283,3,190] {-} coll($c2,$c7,$c9).
% 223.33/223.51  800 [hyper,285,114] {-} coll($c10,$c10,$c2).
% 223.33/223.51  948 [hyper,332,114] {-} coll($c2,$c2,$c7).
% 223.33/223.51  962 [hyper,333,114] {-} coll($c7,$c7,$c1).
% 223.33/223.51  1066 [hyper,347,2] {-} coll($c8,$c10,$c10).
% 223.33/223.51  1177 [hyper,374,1] {-} coll($c11,$c8,$c11).
% 223.33/223.51  1203 [hyper,406,1] {-} coll($c7,$c9,$c7).
% 223.33/223.51  1287 [hyper,420,3,283] {-} coll($c2,$c11,$c9).
% 223.33/223.51  1306 [hyper,421,114] {-} coll($c7,$c7,$c11).
% 223.33/223.51  1320 [hyper,434,3,374] {-} coll($c8,$c7,$c11).
% 223.33/223.51  1321 [hyper,434,3,374] {-} coll($c7,$c8,$c11).
% 223.33/223.51  1404 [hyper,448,1] {-} coll($c6,$c9,$c6).
% 223.33/223.51  1417 [hyper,449,1] {-} coll($c7,$c9,$c6).
% 223.33/223.51  1514 [hyper,482,3,268] {-} coll($c3,$c10,$c9).
% 223.33/223.51  1520 [hyper,482,3,190] {-} coll($c10,$c7,$c9).
% 223.33/223.51  1549 [hyper,496,3,175] {-} coll($c8,$c6,$c10).
% 223.33/223.51  1551 [hyper,496,3,175] {-} coll($c6,$c8,$c10).
% 223.33/223.51  2134 [hyper,638,1] {-} coll($c3,$c9,$c3).
% 223.33/223.51  2256 [hyper,642,1] {-} coll($c7,$c9,$c3).
% 223.33/223.51  2421 [hyper,673,3,374] {-} coll($c3,$c8,$c11).
% 223.33/223.51  2532 [hyper,688,1] {-} coll($c3,$c9,$c2).
% 223.33/223.51  2640 [hyper,692,1] {-} coll($c7,$c9,$c2).
% 223.33/223.51  2748 [hyper,696,1] {-} coll($c2,$c9,$c6).
% 223.33/223.51  2761 [hyper,697,1] {-} coll($c2,$c9,$c7).
% 223.33/223.51  2864 [hyper,800,3,175] {-} coll($c2,$c8,$c10).
% 223.33/223.51  3139 [hyper,948,114] {-} coll($c7,$c7,$c2).
% 223.33/223.51  3374 [hyper,1177,114] {-} coll($c11,$c11,$c11).
% 223.33/223.51  3469 [hyper,1203,114] {-} coll($c7,$c7,$c7).
% 223.33/223.51  3471 [hyper,1203,3,192] {-} coll($c7,$c11,$c7).
% 223.33/223.51  3596 [hyper,1287,1] {-} coll($c2,$c9,$c11).
% 223.33/223.51  3824 [hyper,1306,3,962] {-} coll($c1,$c11,$c7).
% 223.33/223.51  3850 [hyper,1320,1] {-} coll($c8,$c11,$c7).
% 223.33/223.51  3863 [hyper,1321,1] {-} coll($c7,$c11,$c8).
% 223.33/223.51  3960 [hyper,1404,3,207] {-} coll($c6,$c10,$c6).
% 223.33/223.51  3978 [hyper,1417,3,1203] {-} coll($c6,$c7,$c7).
% 223.33/223.51  4160 [hyper,1514,1] {-} coll($c3,$c9,$c10).
% 223.33/223.51  4289 [hyper,1520,1] {-} coll($c10,$c9,$c7).
% 223.33/223.51  4393 [hyper,1549,1] {-} coll($c8,$c10,$c6).
% 223.33/223.51  4459 [hyper,1551,1] {-} coll($c6,$c10,$c8).
% 223.33/223.51  5462 [hyper,2134,3,270] {-} coll($c3,$c11,$c3).
% 223.33/223.51  5604 [hyper,2256,3,1417] {-} coll($c6,$c3,$c7).
% 223.33/223.51  5610 [hyper,2256,3,1417] {-} coll($c3,$c6,$c7).
% 223.33/223.51  5612 [hyper,2256,3,192] {-} coll($c3,$c11,$c7).
% 223.33/223.51  5907 [hyper,2421,1] {-} coll($c3,$c11,$c8).
% 223.33/223.51  6071 [hyper,235,9,168] {-} para($c3,$c6,$c7,$c8).
% 223.33/223.51  6073 [hyper,235,9,160] {-} para($c7,$c8,$c7,$c8).
% 223.33/223.51  6074 [hyper,235,9,160] {-} para($c11,$c9,$c11,$c9).
% 223.33/223.51  6075 [hyper,235,7] {-} perp($c11,$c9,$c8,$c7).
% 223.33/223.51  6149 [hyper,2640,3,1417] {-} coll($c6,$c2,$c7).
% 223.33/223.51  6269 [hyper,2761,3,2748] {-} coll($c6,$c7,$c2).
% 223.33/223.51  6466 [hyper,2864,1] {-} coll($c2,$c10,$c8).
% 223.33/223.51  7144 [hyper,3596,114] {-} coll($c11,$c11,$c2).
% 223.33/223.51  7297 [hyper,3824,1] {-} coll($c1,$c7,$c11).
% 223.33/223.51  7323 [hyper,3850,114] {-} coll($c7,$c7,$c8).
% 223.33/223.51  7345 [hyper,3863,3,3471] {-} coll($c8,$c7,$c7).
% 223.33/223.51  7659 [hyper,4160,3,2532] {-} coll($c2,$c10,$c3).
% 223.33/223.51  7787 [hyper,4289,114] {-} coll($c7,$c7,$c10).
% 223.33/223.51  7852 [hyper,4393,114] {-} coll($c6,$c6,$c8).
% 223.33/223.51  7885 [hyper,4459,3,3960] {-} coll($c6,$c8,$c6).
% 223.33/223.51  9725 [hyper,313,9,170] {-} para($c2,$c7,$c6,$c8).
% 223.33/223.51  9727 [hyper,313,9,162] {-} para($c6,$c8,$c6,$c8).
% 223.33/223.51  9728 [hyper,313,9,162] {-} para($c10,$c9,$c10,$c9).
% 223.33/223.51  9729 [hyper,313,7] {-} perp($c10,$c9,$c8,$c6).
% 223.33/223.51  10250 [hyper,5907,3,5462] {-} coll($c3,$c8,$c3).
% 223.33/223.51  10252 [hyper,5907,3,5612] {-} coll($c8,$c7,$c3).
% 223.33/223.51  13240 [hyper,7297,114] {-} coll($c11,$c11,$c1).
% 223.33/223.51  13583 [hyper,7659,3,6466] {-} coll($c8,$c3,$c2).
% 223.33/223.51  14779 [hyper,541,7] {-} perp($c11,$c9,$c6,$c3).
% 223.33/223.51  15422 [hyper,620,9,162] {-} para($c6,$c8,$c2,$c7).
% 223.33/223.51  15423 [hyper,620,7] {-} perp($c10,$c9,$c7,$c2).
% 223.33/223.51  17311 [hyper,6071,4] {-} para($c3,$c6,$c8,$c7).
% 223.33/223.51  17820 [hyper,6073,40] {-} eqangle($c7,$c8,A,B,$c7,$c8,A,B).
% 223.33/223.51  18075 [hyper,6074,40] {-} eqangle($c11,$c9,A,B,$c11,$c9,A,B).
% 223.33/223.51  18588 [hyper,9725,4] {-} para($c2,$c7,$c8,$c6).
% 223.33/223.51  19098 [hyper,9727,4] {-} para($c6,$c8,$c8,$c6).
% 223.33/223.51  19353 [hyper,9729,8] {-} perp($c8,$c6,$c10,$c9).
% 223.33/223.51  21910 [hyper,14779,8] {-} perp($c6,$c3,$c11,$c9).
% 223.33/223.51  22676 [hyper,15422,4] {-} para($c6,$c8,$c7,$c2).
% 223.33/223.51  22677 [hyper,15423,8] {-} perp($c7,$c2,$c10,$c9).
% 223.33/223.51  24212 [hyper,18588,5] {-} para($c8,$c6,$c2,$c7).
% 223.33/223.51  24725 [hyper,19098,5] {-} para($c8,$c6,$c6,$c8).
% 223.33/223.51  24726 [hyper,19353,9,15423] {-} para($c8,$c6,$c7,$c2).
% 223.33/223.51  24728 [hyper,19353,9,9729] {-} para($c8,$c6,$c8,$c6).
% 223.33/223.51  27553 [hyper,21910,9,14779] {-} para($c6,$c3,$c6,$c3).
% 223.33/223.51  27555 [hyper,21910,9,6075] {-} para($c6,$c3,$c8,$c7).
% 223.33/223.51  28328 [hyper,22677,9,15423] {-} para($c7,$c2,$c7,$c2).
% 223.33/223.51  37633 [hyper,17820,43,7787] {-} cyclic($c8,$c10,$c7,$c7).
% 223.33/223.51  37634 [hyper,17820,43,7323] {-} cyclic($c8,$c8,$c7,$c7).
% 223.33/223.51  37639 [hyper,17820,43,3469] {-} cyclic($c8,$c7,$c7,$c7).
% 223.33/223.51  37640 [hyper,17820,43,3139] {-} cyclic($c8,$c2,$c7,$c7).
% 223.33/223.51  37641 [hyper,17820,43,1306] {-} cyclic($c8,$c11,$c7,$c7).
% 223.33/223.51  37642 [hyper,17820,43,962] {-} cyclic($c8,$c1,$c7,$c7).
% 223.33/223.51  37643 [hyper,17820,43,406] {-} cyclic($c8,$c9,$c7,$c7).
% 223.33/223.51  37651 [hyper,37633,15] {-} cyclic($c8,$c7,$c10,$c7).
% 223.33/223.51  37652 [hyper,37634,15] {-} cyclic($c8,$c7,$c8,$c7).
% 223.33/223.51  37672 [hyper,37640,15] {-} cyclic($c8,$c7,$c2,$c7).
% 223.33/223.51  37678 [hyper,37641,15] {-} cyclic($c8,$c7,$c11,$c7).
% 223.33/223.51  37681 [hyper,37642,15] {-} cyclic($c8,$c7,$c1,$c7).
% 223.33/223.51  37682 [hyper,37643,120] {-} cyclic($c9,$c7,$c7,$c7).
% 223.33/223.51  37684 [hyper,37643,15] {-} cyclic($c8,$c7,$c9,$c7).
% 223.33/223.51  37692 [hyper,37651,16] {-} cyclic($c7,$c8,$c10,$c7).
% 223.33/223.51  37695 [hyper,37652,16] {-} cyclic($c7,$c8,$c8,$c7).
% 223.33/223.51  37696 [hyper,37652,14] {-} cyclic($c8,$c7,$c7,$c8).
% 223.33/223.51  37739 [hyper,37672,14] {-} cyclic($c8,$c7,$c7,$c2).
% 223.33/223.51  37747 [hyper,37678,16] {-} cyclic($c7,$c8,$c11,$c7).
% 223.33/223.51  37748 [hyper,37678,14] {-} cyclic($c8,$c7,$c7,$c11).
% 223.33/223.51  37757 [hyper,37681,14] {-} cyclic($c8,$c7,$c7,$c1).
% 223.33/223.51  37759 [hyper,37682,16] {-} cyclic($c7,$c9,$c7,$c7).
% 223.33/223.51  37765 [hyper,37684,16] {-} cyclic($c7,$c8,$c9,$c7).
% 223.33/223.51  37766 [hyper,37684,14] {-} cyclic($c8,$c7,$c7,$c9).
% 223.33/223.51  37773 [hyper,37692,14] {-} cyclic($c7,$c8,$c7,$c10).
% 223.33/223.51  37782 [hyper,37695,14] {-} cyclic($c7,$c8,$c7,$c8).
% 223.33/223.51  37783 [hyper,37696,123,37639,17820] {-} cong($c8,$c7,$c8,$c7).
% 223.33/223.51  37887 [hyper,37739,17,37696] {-} cyclic($c7,$c7,$c8,$c2).
% 223.33/223.51  37905 [hyper,37747,14] {-} cyclic($c7,$c8,$c7,$c11).
% 223.33/223.51  37908 [hyper,37748,17,37739] {-} cyclic($c7,$c7,$c2,$c11).
% 223.33/223.51  37921 [hyper,37748,17,37696] {-} cyclic($c7,$c7,$c11,$c8).
% 223.33/223.51  37933 [hyper,37757,120] {-} cyclic($c7,$c7,$c1,$c1).
% 223.33/223.51  37935 [hyper,37757,17,37748] {-} cyclic($c7,$c7,$c11,$c1).
% 223.33/223.51  37944 [hyper,37757,17,37748] {-} cyclic($c7,$c7,$c1,$c11).
% 223.33/223.51  37956 [hyper,37759,15] {-} cyclic($c7,$c7,$c9,$c7).
% 223.33/223.51  37961 [hyper,37765,14] {-} cyclic($c7,$c8,$c7,$c9).
% 223.33/223.51  37962 [hyper,37766,120] {-} cyclic($c7,$c7,$c9,$c9).
% 223.33/223.51  37964 [hyper,37766,17,37757] {-} cyclic($c7,$c7,$c1,$c9).
% 223.33/223.51  37965 [hyper,37766,17,37748] {-} cyclic($c7,$c7,$c11,$c9).
% 223.33/223.51  37966 [hyper,37766,17,37739] {-} cyclic($c7,$c7,$c2,$c9).
% 223.33/223.51  37971 [hyper,37766,17,37696] {-} cyclic($c7,$c7,$c8,$c9).
% 223.33/223.51  37975 [hyper,37766,17,37748] {-} cyclic($c7,$c7,$c9,$c11).
% 223.33/223.51  37976 [hyper,37766,17,37739] {-} cyclic($c7,$c7,$c9,$c2).
% 223.33/223.51  37990 [hyper,37773,120] {-} cyclic($c8,$c7,$c10,$c10).
% 223.33/223.51  38000 [hyper,37782,120] {-} cyclic($c8,$c7,$c8,$c8).
% 223.33/223.51  38002 [hyper,37782,17,37773] {-} cyclic($c8,$c7,$c10,$c8).
% 223.33/223.51  38007 [hyper,37783,68,7345] {-} midp($c8,$c7,$c7).
% 223.33/223.51  38015 [hyper,38007,129,28328] {-} midp($c8,$c2,$c2).
% 223.33/223.51  38016 [hyper,38007,129,6073] {-} midp($c8,$c8,$c8).
% 223.33/223.51  38019 [hyper,38007,46,24726,6269] {-} midp($c6,$c7,$c2).
% 223.33/223.51  38028 [hyper,38015,46,24212,6149] {-} midp($c6,$c2,$c7).
% 223.33/223.51  38031 [hyper,38016,129,24728] {-} midp($c8,$c6,$c6).
% 223.33/223.51  38039 [hyper,38016,69] {-} cong($c8,$c8,$c8,$c8).
% 223.33/223.51  38042 [hyper,38016,46,24728,7885] {-} midp($c6,$c8,$c6).
% 223.33/223.51  38060 [hyper,38019,69] {-} cong($c6,$c7,$c6,$c2).
% 223.33/223.51  38111 [hyper,38028,69] {-} cong($c6,$c2,$c6,$c7).
% 223.33/223.51  38140 [hyper,38031,69] {-} cong($c8,$c6,$c8,$c6).
% 223.33/223.51  38145 [hyper,38031,46,24725,7852] {-} midp($c6,$c6,$c8).
% 223.33/223.51  38182 [hyper,38042,46,27553,10250] {-} midp($c3,$c8,$c3).
% 223.33/223.51  38427 [hyper,38145,46,27555,5610] {-} midp($c3,$c6,$c7).
% 223.33/223.51  38552 [hyper,38182,11] {-} midp($c3,$c3,$c8).
% 223.33/223.51  38937 [hyper,38427,64,38182] {-} para($c6,$c8,$c7,$c3).
% 223.33/223.51  39034 [hyper,38552,46,17311,5604] {-} midp($c6,$c3,$c7).
% 223.33/223.51  39516 [hyper,39034,46,22676,13583] {-} midp($c8,$c3,$c2).
% 223.33/223.51  40974 [hyper,37935,17,37921] {-} cyclic($c7,$c11,$c8,$c1).
% 223.33/223.51  41263 [hyper,37961,17,37905] {-} cyclic($c8,$c7,$c9,$c11).
% 223.33/223.51  41271 [hyper,37962,120] {-} cyclic($c7,$c9,$c9,$c9).
% 223.33/223.51  41274 [hyper,37962,17,37956] {-} cyclic($c7,$c9,$c9,$c7).
% 223.33/223.51  41288 [hyper,37964,17,37933] {-} cyclic($c7,$c1,$c1,$c9).
% 223.33/223.51  41297 [hyper,37964,17,37944] {-} cyclic($c7,$c1,$c9,$c11).
% 223.33/223.51  41298 [hyper,37964,17,37933] {-} cyclic($c7,$c1,$c9,$c1).
% 223.33/223.51  41304 [hyper,37965,17,37921] {-} cyclic($c7,$c11,$c8,$c9).
% 223.33/223.51  41322 [hyper,37966,120] {-} cyclic($c7,$c2,$c9,$c9).
% 223.33/223.51  41335 [hyper,37966,17,37908] {-} cyclic($c7,$c2,$c9,$c11).
% 223.33/223.51  41435 [hyper,37971,120] {-} cyclic($c7,$c8,$c9,$c9).
% 223.33/223.51  41448 [hyper,37971,17,37887] {-} cyclic($c7,$c8,$c9,$c2).
% 223.33/223.51  41490 [hyper,37975,17,37962] {-} cyclic($c7,$c9,$c9,$c11).
% 223.33/223.51  41498 [hyper,37976,120] {-} cyclic($c7,$c9,$c2,$c2).
% 223.33/223.51  41504 [hyper,37976,17,37975] {-} cyclic($c7,$c9,$c2,$c11).
% 223.33/223.51  41617 [hyper,37990,15] {-} cyclic($c8,$c10,$c7,$c10).
% 223.33/223.51  41634 [hyper,38000,15] {-} cyclic($c8,$c8,$c7,$c8).
% 223.33/223.51  41636 [hyper,38002,15] {-} cyclic($c8,$c10,$c7,$c8).
% 223.33/223.51  45512 [hyper,38111,25,38060] {-} cong($c6,$c7,$c6,$c7).
% 223.33/223.51  46029 [hyper,38140,57,37783] {-} perp($c8,$c8,$c7,$c6).
% 223.33/223.51  71317 [hyper,18075,43,13240] {-} cyclic($c9,$c1,$c11,$c11).
% 223.33/223.51  71320 [hyper,18075,43,7144] {-} cyclic($c9,$c2,$c11,$c11).
% 223.33/223.51  71321 [hyper,18075,43,3374] {-} cyclic($c9,$c11,$c11,$c11).
% 223.33/223.51  71326 [hyper,18075,43,434] {-} cyclic($c9,$c7,$c11,$c11).
% 223.33/223.51  81177 [hyper,41263,15] {-} cyclic($c8,$c9,$c7,$c11).
% 223.33/223.51  81193 [hyper,41274,17,41271] {-} cyclic($c9,$c9,$c7,$c9).
% 223.33/223.51  81373 [hyper,41288,120] {-} cyclic($c1,$c1,$c9,$c9).
% 223.33/223.51  81501 [hyper,41298,17,41297] {-} cyclic($c1,$c9,$c11,$c1).
% 223.33/223.51  81588 [hyper,41304,120] {-} cyclic($c11,$c8,$c9,$c9).
% 223.33/223.51  81589 [hyper,41304,17,40974] {-} cyclic($c11,$c8,$c1,$c9).
% 223.33/223.51  82110 [hyper,41335,120] {-} cyclic($c2,$c9,$c11,$c11).
% 223.33/223.51  82114 [hyper,41335,17,41322] {-} cyclic($c2,$c9,$c11,$c9).
% 223.33/223.51  83819 [hyper,41448,17,41435] {-} cyclic($c8,$c9,$c9,$c2).
% 223.33/223.51  84290 [hyper,41490,17,41274] {-} cyclic($c9,$c9,$c7,$c11).
% 223.33/223.51  84293 [hyper,41490,17,41274] {-} cyclic($c9,$c9,$c11,$c7).
% 223.33/223.51  84358 [hyper,41504,17,41498] {-} cyclic($c9,$c2,$c11,$c2).
% 223.33/223.51  85627 [hyper,41634,58,37783,38039] {-} perp($c7,$c8,$c8,$c8).
% 223.33/223.51  85628 [hyper,41636,44,41617,37633,17820] {-} cong($c8,$c10,$c8,$c10).
% 223.33/223.51  85776 [hyper,45512,68,3978] {-} midp($c6,$c7,$c7).
% 223.33/223.51  85802 [hyper,85776,46,38937,10252] {-} midp($c8,$c7,$c3).
% 223.33/223.51  95728 [hyper,81177,17,37643] {-} cyclic($c9,$c7,$c11,$c7).
% 223.33/223.51  95861 [hyper,81373,15] {-} cyclic($c1,$c9,$c1,$c9).
% 223.33/223.51  95906 [hyper,81501,16] {-} cyclic($c9,$c1,$c11,$c1).
% 223.33/223.51  95908 [hyper,81501,14] {-} cyclic($c1,$c9,$c1,$c11).
% 223.33/223.51  95928 [hyper,81589,14] {-} cyclic($c11,$c8,$c9,$c1).
% 223.33/223.51  96130 [hyper,82114,17,82110] {-} cyclic($c9,$c11,$c11,$c9).
% 223.33/223.51  96132 [hyper,82114,16] {-} cyclic($c9,$c2,$c11,$c9).
% 223.33/223.51  96789 [hyper,84290,17,81193] {-} cyclic($c9,$c7,$c11,$c9).
% 223.33/223.51  97308 [hyper,85627,9,46029] {-} para($c7,$c8,$c7,$c6).
% 223.33/223.51  97320 [hyper,85628,68,1066] {-} midp($c8,$c10,$c10).
% 223.33/223.51  97344 [hyper,97320,129,9728] {-} midp($c8,$c9,$c9).
% 223.33/223.51  98255 [hyper,97344,64,85802] {-} para($c9,$c7,$c9,$c3).
% 223.33/223.51  98257 [hyper,97344,64,39516] {-} para($c9,$c3,$c9,$c2).
% 223.33/223.51  111823 [hyper,95908,17,95861] {-} cyclic($c9,$c1,$c11,$c9).
% 223.33/223.51  111861 [hyper,95928,17,81588] {-} cyclic($c8,$c9,$c9,$c1).
% 223.33/223.51  112648 [hyper,96130,123,71321,18075] {-} cong($c9,$c11,$c9,$c11).
% 223.33/223.51  112652 [hyper,96132,44,84358,71320,18075] {-} cong($c9,$c2,$c9,$c2).
% 223.33/223.51  113263 [hyper,96789,44,95728,71326,18075] {-} cong($c9,$c7,$c9,$c7).
% 223.33/223.51  113814 [hyper,97308,5] {-} para($c7,$c6,$c7,$c8).
% 223.33/223.51  198794 [hyper,98257,4] {-} para($c9,$c3,$c2,$c9).
% 223.33/223.51  261391 [hyper,111823,44,95906,71317,18075] {-} cong($c9,$c1,$c9,$c1).
% 223.33/223.51  261395 [hyper,111861,17,83819] {-} cyclic($c9,$c9,$c2,$c1).
% 223.33/223.51  263322 [hyper,113263,58,112648,84293] {-} perp($c11,$c9,$c9,$c7).
% 223.33/223.51  276291 [hyper,113814,10,160] {-} perp($c7,$c6,$c11,$c9).
% 223.33/223.51  279936 [hyper,198794,6,98255] {-} para($c9,$c7,$c2,$c9).
% 223.33/223.51  291697 [hyper,261395,58,112652,261391] {-} perp($c2,$c9,$c9,$c1).
% 223.33/223.51  294515 [hyper,276291,9,263322] {-} para($c7,$c6,$c9,$c7).
% 223.33/223.51  364895 [hyper,291697,10,279936] {-} perp($c9,$c7,$c9,$c1).
% 223.33/223.51  577735 [hyper,364895,10,294515] {-} perp($c7,$c6,$c9,$c1).
% 223.33/223.51  744552 [hyper,577735,8] {-} perp($c9,$c1,$c7,$c6).
% 223.33/223.51  744553 [binary,744552.1,113.1] {-} $F.
% 223.33/223.51  
% 223.33/223.51  % SZS output end Refutation
% 223.33/223.51  ------------ end of proof -------------
% 223.33/223.51  
% 223.33/223.51  
% 223.33/223.51  Search stopped by max_proofs option.
% 223.33/223.51  
% 223.33/223.51  
% 223.33/223.51  Search stopped by max_proofs option.
% 223.33/223.51  
% 223.33/223.51  ============ end of search ============
% 223.33/223.51  
% 223.33/223.51  That finishes the proof of the theorem.
% 223.33/223.51  
% 223.33/223.51  Process 32724 finished Sat Jun 18 10:15:32 2022
%------------------------------------------------------------------------------