TSTP Solution File: GEO576+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO576+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n021.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 06:20:58 EDT 2022

% Result   : Theorem 44.10s 44.34s
% Output   : Refutation 44.10s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : GEO576+1 : TPTP v8.1.0. Released v7.5.0.
% 0.02/0.09  % Command  : sos-script %s
% 0.08/0.29  % Computer : n021.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 600
% 0.08/0.29  % DateTime : Fri Jun 17 17:04:46 EDT 2022
% 0.08/0.29  % CPUTime  : 
% 0.14/0.31  ----- Otter 3.2, August 2001 -----
% 0.14/0.31  The process was started by sandbox on n021.cluster.edu,
% 0.14/0.31  Fri Jun 17 17:04:46 2022
% 0.14/0.31  The command was "./sos".  The process ID is 24030.
% 0.14/0.31  
% 0.14/0.31  set(prolog_style_variables).
% 0.14/0.31  set(auto).
% 0.14/0.31     dependent: set(auto1).
% 0.14/0.31     dependent: set(process_input).
% 0.14/0.31     dependent: clear(print_kept).
% 0.14/0.31     dependent: clear(print_new_demod).
% 0.14/0.31     dependent: clear(print_back_demod).
% 0.14/0.31     dependent: clear(print_back_sub).
% 0.14/0.31     dependent: set(control_memory).
% 0.14/0.31     dependent: assign(max_mem, 12000).
% 0.14/0.31     dependent: assign(pick_given_ratio, 4).
% 0.14/0.31     dependent: assign(stats_level, 1).
% 0.14/0.31     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.31     dependent: assign(sos_limit, 5000).
% 0.14/0.31     dependent: assign(max_weight, 60).
% 0.14/0.31  clear(print_given).
% 0.14/0.31  
% 0.14/0.31  formula_list(usable).
% 0.14/0.31  
% 0.14/0.31  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.14/0.31  
% 0.14/0.31  This ia a non-Horn set with equality.  The strategy will be
% 0.14/0.31  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.14/0.31  unit deletion, with positive clauses in sos and nonpositive
% 0.14/0.31  clauses in usable.
% 0.14/0.31  
% 0.14/0.31     dependent: set(knuth_bendix).
% 0.14/0.31     dependent: set(para_from).
% 0.14/0.31     dependent: set(para_into).
% 0.14/0.31     dependent: clear(para_from_right).
% 0.14/0.31     dependent: clear(para_into_right).
% 0.14/0.31     dependent: set(para_from_vars).
% 0.14/0.31     dependent: set(eq_units_both_ways).
% 0.14/0.31     dependent: set(dynamic_demod_all).
% 0.14/0.31     dependent: set(dynamic_demod).
% 0.14/0.31     dependent: set(order_eq).
% 0.14/0.31     dependent: set(back_demod).
% 0.14/0.31     dependent: set(lrpo).
% 0.14/0.31     dependent: set(hyper_res).
% 0.14/0.31     dependent: set(unit_deletion).
% 0.14/0.31     dependent: set(factor).
% 0.14/0.31  
% 0.14/0.31  ------------> process usable:
% 0.14/0.31    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).
% 0.14/0.31  
% 0.14/0.31  ------------> process sos:
% 0.14/0.31    Following clause subsumed by 166 during input processing: 0 [copy,166,flip.1] {-} A=A.
% 0.14/0.31  166 back subsumes 146.
% 0.14/0.31  166 back subsumes 145.
% 0.14/0.31  166 back subsumes 144.
% 0.14/0.31  166 back subsumes 143.
% 0.14/0.31  
% 0.14/0.31  ======= end of input processing =======
% 0.14/0.36  
% 0.14/0.36  
% 0.14/0.36  Failed to model usable list: disabling FINDER
% 0.14/0.36  
% 0.14/0.36  
% 0.14/0.36  
% 0.14/0.36  -------------- Softie stats --------------
% 0.14/0.36  
% 0.14/0.36  UPDATE_STOP: 300
% 0.14/0.36  SFINDER_TIME_LIMIT: 2
% 0.14/0.36  SHORT_CLAUSE_CUTOFF: 4
% 0.14/0.36  number of clauses in intial UL: 154
% 0.14/0.36  number of clauses initially in problem: 162
% 0.14/0.36  percentage of clauses intially in UL: 95
% 0.14/0.36  percentage of distinct symbols occuring in initial UL: 92
% 0.14/0.36  percent of all initial clauses that are short: 100
% 0.14/0.36  absolute distinct symbol count: 40
% 0.14/0.36     distinct predicate count: 12
% 0.14/0.36     distinct function count: 20
% 0.14/0.36     distinct constant count: 8
% 0.14/0.36  
% 0.14/0.36  ---------- no more Softie stats ----------
% 0.14/0.36  
% 0.14/0.36  
% 0.14/0.36  
% 0.14/0.36  =========== start of search ===========
% 10.60/10.80  
% 10.60/10.80  
% 10.60/10.80  Changing weight limit from 60 to 57.
% 10.60/10.80  
% 10.60/10.80  Resetting weight limit to 57 after 255 givens.
% 10.60/10.80  
% 11.69/11.89  
% 11.69/11.89  
% 11.69/11.89  Changing weight limit from 57 to 56.
% 11.69/11.89  
% 11.69/11.89  Resetting weight limit to 56 after 260 givens.
% 11.69/11.89  
% 16.20/16.45  
% 16.20/16.45  
% 16.20/16.45  Changing weight limit from 56 to 55.
% 16.20/16.45  
% 16.20/16.45  Resetting weight limit to 55 after 280 givens.
% 16.20/16.45  
% 17.72/17.96  
% 17.72/17.96  
% 17.72/17.96  Changing weight limit from 55 to 54.
% 17.72/17.96  
% 17.72/17.96  Resetting weight limit to 54 after 285 givens.
% 17.72/17.96  
% 19.65/19.90  
% 19.65/19.90  
% 19.65/19.90  Changing weight limit from 54 to 52.
% 19.65/19.90  
% 19.65/19.90  Resetting weight limit to 52 after 290 givens.
% 19.65/19.90  
% 21.46/21.70  
% 21.46/21.70  
% 21.46/21.70  Changing weight limit from 52 to 51.
% 21.46/21.70  
% 21.46/21.70  Resetting weight limit to 51 after 295 givens.
% 21.46/21.70  
% 23.13/23.35  
% 23.13/23.35  
% 23.13/23.35  Changing weight limit from 51 to 50.
% 23.13/23.35  
% 23.13/23.35  Modelling stopped after 300 given clauses and 0.00 seconds
% 23.13/23.35  
% 23.13/23.35  
% 23.13/23.35  Resetting weight limit to 50 after 300 givens.
% 23.13/23.35  
% 25.59/25.82  
% 25.59/25.82  
% 25.59/25.82  Changing weight limit from 50 to 49.
% 25.59/25.82  
% 25.59/25.82  Resetting weight limit to 49 after 315 givens.
% 25.59/25.82  
% 26.25/26.46  
% 26.25/26.46  
% 26.25/26.46  Changing weight limit from 49 to 47.
% 26.25/26.46  
% 26.25/26.46  Resetting weight limit to 47 after 325 givens.
% 26.25/26.46  
% 26.44/26.74  
% 26.44/26.74  
% 26.44/26.74  Changing weight limit from 47 to 46.
% 26.44/26.74  
% 26.44/26.74  Resetting weight limit to 46 after 330 givens.
% 26.44/26.74  
% 26.85/27.10  
% 26.85/27.10  
% 26.85/27.10  Changing weight limit from 46 to 45.
% 26.85/27.10  
% 26.85/27.10  Resetting weight limit to 45 after 335 givens.
% 26.85/27.10  
% 27.38/27.64  
% 27.38/27.64  
% 27.38/27.64  Changing weight limit from 45 to 35.
% 27.38/27.64  
% 27.38/27.64  Resetting weight limit to 35 after 345 givens.
% 27.38/27.64  
% 27.54/27.80  
% 27.54/27.80  
% 27.54/27.80  Changing weight limit from 35 to 34.
% 27.54/27.80  
% 27.54/27.80  Resetting weight limit to 34 after 355 givens.
% 27.54/27.80  
% 27.75/27.97  
% 27.75/27.97  
% 27.75/27.97  Changing weight limit from 34 to 31.
% 27.75/27.97  
% 27.75/27.97  Resetting weight limit to 31 after 365 givens.
% 27.75/27.97  
% 28.43/28.65  
% 28.43/28.65  
% 28.43/28.65  Changing weight limit from 31 to 30.
% 28.43/28.65  
% 28.43/28.65  Resetting weight limit to 30 after 400 givens.
% 28.43/28.65  
% 30.29/30.52  
% 30.29/30.52  
% 30.29/30.52  Changing weight limit from 30 to 29.
% 30.29/30.52  
% 30.29/30.52  Resetting weight limit to 29 after 515 givens.
% 30.29/30.52  
% 31.12/31.34  
% 31.12/31.34  
% 31.12/31.34  Changing weight limit from 29 to 11.
% 31.12/31.34  
% 31.12/31.34  Resetting weight limit to 11 after 810 givens.
% 31.12/31.34  
% 31.23/31.46  
% 31.23/31.46  
% 31.23/31.46  Changing weight limit from 11 to 10.
% 31.23/31.46  
% 31.23/31.46  Resetting weight limit to 10 after 820 givens.
% 31.23/31.46  
% 33.05/33.28  
% 33.05/33.28  
% 33.05/33.28  Changing weight limit from 10 to 9.
% 33.05/33.28  
% 33.05/33.28  Resetting weight limit to 9 after 935 givens.
% 33.05/33.28  
% 40.93/41.20  
% 40.93/41.20  
% 40.93/41.20  Changing weight limit from 9 to 10.
% 40.93/41.20  
% 40.93/41.20  Resetting weight limit to 10 after 7100 givens.
% 40.93/41.20  
% 40.93/41.21  
% 40.93/41.21  
% 40.93/41.21  Changing weight limit from 10 to 11.
% 40.93/41.21  
% 40.93/41.21  Resetting weight limit to 11 after 7105 givens.
% 40.93/41.21  
% 40.98/41.21  
% 40.98/41.21  
% 40.98/41.21  Changing weight limit from 11 to 12.
% 40.98/41.21  
% 40.98/41.21  Resetting weight limit to 12 after 7110 givens.
% 40.98/41.21  
% 40.98/41.22  
% 40.98/41.22  
% 40.98/41.22  Changing weight limit from 12 to 13.
% 40.98/41.22  
% 40.98/41.22  Resetting weight limit to 13 after 7115 givens.
% 40.98/41.22  
% 40.98/41.22  
% 40.98/41.22  
% 40.98/41.22  Changing weight limit from 13 to 14.
% 40.98/41.22  
% 40.98/41.22  Resetting weight limit to 14 after 7120 givens.
% 40.98/41.22  
% 40.98/41.22  
% 40.98/41.22  
% 40.98/41.22  Changing weight limit from 14 to 15.
% 40.98/41.22  
% 40.98/41.22  Resetting weight limit to 15 after 7125 givens.
% 40.98/41.22  
% 40.98/41.23  
% 40.98/41.23  
% 40.98/41.23  Changing weight limit from 15 to 16.
% 40.98/41.23  
% 40.98/41.23  Resetting weight limit to 16 after 7130 givens.
% 40.98/41.23  
% 40.98/41.23  
% 40.98/41.23  
% 40.98/41.23  Changing weight limit from 16 to 17.
% 40.98/41.23  
% 40.98/41.23  Resetting weight limit to 17 after 7135 givens.
% 40.98/41.23  
% 40.98/41.24  
% 40.98/41.24  
% 40.98/41.24  Changing weight limit from 17 to 18.
% 40.98/41.24  
% 40.98/41.24  Resetting weight limit to 18 after 7140 givens.
% 40.98/41.24  
% 40.98/41.24  
% 40.98/41.24  
% 40.98/41.24  Changing weight limit from 18 to 19.
% 40.98/41.24  
% 40.98/41.24  Resetting weight limit to 19 after 7145 givens.
% 40.98/41.24  
% 40.98/41.24  
% 40.98/41.24  
% 40.98/41.24  Changing weight limit from 19 to 20.
% 40.98/41.24  
% 40.98/41.24  Resetting weight limit to 20 after 7150 givens.
% 40.98/41.24  
% 40.98/41.24  
% 40.98/41.24  
% 40.98/41.24  Changing weight limit from 20 to 21.
% 40.98/41.24  
% 40.98/41.24  Resetting weight limit to 21 after 7155 givens.
% 40.98/41.24  
% 40.98/41.25  
% 40.98/41.25  
% 40.98/41.25  Changing weight limit from 21 to 22.
% 40.98/41.25  
% 40.98/41.25  Resetting weight limit to 22 after 7160 givens.
% 40.98/41.25  
% 41.02/41.25  
% 41.02/41.25  
% 41.02/41.25  Changing weight limit from 22 to 23.
% 41.02/41.25  
% 41.02/41.25  Resetting weight limit to 23 after 7165 givens.
% 41.02/41.25  
% 41.02/41.25  
% 41.02/41.25  
% 41.02/41.25  Changing weight limit from 23 to 24.
% 41.02/41.25  
% 41.02/41.25  Resetting weight limit to 24 after 7170 givens.
% 41.02/41.25  
% 41.02/41.26  
% 41.02/41.26  
% 41.02/41.26  Changing weight limit from 24 to 25.
% 41.02/41.26  
% 41.02/41.26  Resetting weight limit to 25 after 7175 givens.
% 41.02/41.26  
% 41.02/41.26  
% 41.02/41.26  
% 41.02/41.26  Changing weight limit from 25 to 26.
% 41.02/41.26  
% 41.02/41.26  Resetting weight limit to 26 after 7180 givens.
% 41.02/41.26  
% 41.02/41.27  
% 41.02/41.27  
% 41.02/41.27  Changing weight limit from 26 to 27.
% 41.02/41.27  
% 41.02/41.27  Resetting weight limit to 27 after 7185 givens.
% 41.02/41.27  
% 41.02/41.29  
% 41.02/41.29  
% 41.02/41.29  Changing weight limit from 27 to 28.
% 41.02/41.29  
% 41.02/41.29  Resetting weight limit to 28 after 7190 givens.
% 41.02/41.29  
% 41.02/41.31  
% 41.02/41.31  
% 41.02/41.31  Changing weight limit from 28 to 29.
% 41.02/41.31  
% 41.02/41.31  Resetting weight limit to 29 after 7195 givens.
% 41.02/41.31  
% 41.02/41.32  
% 41.02/41.32  
% 41.02/41.32  Changing weight limit from 29 to 30.
% 41.02/41.32  
% 41.02/41.32  Resetting weight limit to 30 after 7200 givens.
% 41.02/41.32  
% 41.02/41.32  
% 41.02/41.32  
% 41.02/41.32  Changing weight limit from 30 to 31.
% 41.02/41.32  
% 41.02/41.32  Resetting weight limit to 31 after 7205 givens.
% 41.02/41.32  
% 41.02/41.32  
% 41.02/41.32  
% 41.02/41.32  Changing weight limit from 31 to 32.
% 41.02/41.32  
% 41.02/41.32  Resetting weight limit to 32 after 7210 givens.
% 41.02/41.32  
% 41.02/41.33  
% 41.02/41.33  
% 41.02/41.33  Changing weight limit from 32 to 33.
% 41.02/41.33  
% 41.02/41.33  Resetting weight limit to 33 after 7215 givens.
% 41.02/41.33  
% 41.02/41.33  
% 41.02/41.33  
% 41.02/41.33  Changing weight limit from 33 to 34.
% 41.02/41.33  
% 41.02/41.33  Resetting weight limit to 34 after 7220 givens.
% 41.02/41.33  
% 41.02/41.33  
% 41.02/41.33  
% 41.02/41.33  Changing weight limit from 34 to 35.
% 41.02/41.33  
% 41.02/41.33  Resetting weight limit to 35 after 7225 givens.
% 41.02/41.33  
% 41.02/41.33  
% 41.02/41.33  
% 41.02/41.33  Changing weight limit from 35 to 36.
% 41.02/41.33  
% 41.02/41.33  Resetting weight limit to 36 after 7230 givens.
% 41.02/41.33  
% 41.11/41.34  
% 41.11/41.34  
% 41.11/41.34  Changing weight limit from 36 to 37.
% 41.11/41.34  
% 41.11/41.34  Resetting weight limit to 37 after 7235 givens.
% 41.11/41.34  
% 41.11/41.34  
% 41.11/41.34  
% 41.11/41.34  Changing weight limit from 37 to 38.
% 41.11/41.34  
% 41.11/41.34  Resetting weight limit to 38 after 7240 givens.
% 41.11/41.34  
% 41.11/41.34  
% 41.11/41.34  
% 41.11/41.34  Changing weight limit from 38 to 39.
% 41.11/41.34  
% 41.11/41.34  Resetting weight limit to 39 after 7245 givens.
% 41.11/41.34  
% 41.11/41.35  
% 41.11/41.35  
% 41.11/41.35  Changing weight limit from 39 to 40.
% 41.11/41.35  
% 41.11/41.35  Resetting weight limit to 40 after 7250 givens.
% 41.11/41.35  
% 41.11/41.35  
% 41.11/41.35  
% 41.11/41.35  Changing weight limit from 40 to 41.
% 41.11/41.35  
% 41.11/41.35  Resetting weight limit to 41 after 7255 givens.
% 41.11/41.35  
% 41.11/41.35  
% 41.11/41.35  
% 41.11/41.35  Changing weight limit from 41 to 42.
% 41.11/41.35  
% 41.11/41.35  Resetting weight limit to 42 after 7260 givens.
% 41.11/41.35  
% 41.11/41.36  
% 41.11/41.36  
% 41.11/41.36  Changing weight limit from 42 to 43.
% 41.11/41.36  
% 41.11/41.36  Resetting weight limit to 43 after 7265 givens.
% 41.11/41.36  
% 41.11/41.36  
% 41.11/41.36  
% 41.11/41.36  Changing weight limit from 43 to 44.
% 41.11/41.36  
% 41.11/41.36  Resetting weight limit to 44 after 7270 givens.
% 41.11/41.36  
% 41.11/41.37  
% 41.11/41.37  
% 41.11/41.37  Changing weight limit from 44 to 45.
% 41.11/41.37  
% 41.11/41.37  Resetting weight limit to 45 after 7275 givens.
% 41.11/41.37  
% 41.15/41.38  
% 41.15/41.38  
% 41.15/41.38  Changing weight limit from 45 to 46.
% 41.15/41.38  
% 41.15/41.38  Resetting weight limit to 46 after 7280 givens.
% 41.15/41.38  
% 41.15/41.40  
% 41.15/41.40  
% 41.15/41.40  Changing weight limit from 46 to 47.
% 41.15/41.40  
% 41.15/41.40  Resetting weight limit to 47 after 7285 givens.
% 41.15/41.40  
% 41.15/41.41  
% 41.15/41.41  
% 41.15/41.41  Changing weight limit from 47 to 48.
% 41.15/41.41  
% 41.15/41.41  Resetting weight limit to 48 after 7290 givens.
% 41.15/41.41  
% 41.15/41.43  
% 41.15/41.43  
% 41.15/41.43  Changing weight limit from 48 to 49.
% 41.15/41.43  
% 41.15/41.43  Resetting weight limit to 49 after 7295 givens.
% 41.15/41.43  
% 41.23/41.46  
% 41.23/41.46  
% 41.23/41.46  Changing weight limit from 49 to 50.
% 41.23/41.46  
% 41.23/41.46  Resetting weight limit to 50 after 7300 givens.
% 41.23/41.46  
% 41.24/41.49  
% 41.24/41.49  
% 41.24/41.49  Changing weight limit from 50 to 51.
% 41.24/41.49  
% 41.24/41.49  Resetting weight limit to 51 after 7305 givens.
% 41.24/41.49  
% 41.55/41.82  
% 41.55/41.82  
% 41.55/41.82  Changing weight limit from 51 to 52.
% 41.55/41.82  
% 41.55/41.82  Resetting weight limit to 52 after 7310 givens.
% 41.55/41.82  
% 41.55/41.82  
% 41.55/41.82  
% 41.55/41.82  Changing weight limit from 52 to 53.
% 41.55/41.82  
% 41.55/41.82  Resetting weight limit to 53 after 7315 givens.
% 41.55/41.82  
% 41.60/41.82  
% 41.60/41.82  
% 41.60/41.82  Changing weight limit from 53 to 54.
% 41.60/41.82  
% 41.60/41.82  Resetting weight limit to 54 after 7320 givens.
% 41.60/41.82  
% 41.60/41.83  
% 41.60/41.83  
% 41.60/41.83  Changing weight limit from 54 to 55.
% 41.60/41.83  
% 41.60/41.83  Resetting weight limit to 55 after 7325 givens.
% 41.60/41.83  
% 41.60/41.84  
% 41.60/41.84  
% 41.60/41.84  Changing weight limit from 55 to 56.
% 41.60/41.84  
% 41.60/41.84  Resetting weight limit to 56 after 7330 givens.
% 41.60/41.84  
% 41.62/41.85  
% 41.62/41.85  
% 41.62/41.85  Changing weight limit from 56 to 57.
% 41.62/41.85  
% 41.62/41.85  Resetting weight limit to 57 after 7335 givens.
% 41.62/41.85  
% 41.62/41.85  
% 41.62/41.85  
% 41.62/41.85  Changing weight limit from 57 to 58.
% 41.62/41.85  
% 41.62/41.85  Resetting weight limit to 58 after 7340 givens.
% 41.62/41.85  
% 41.62/41.86  
% 41.62/41.86  
% 41.62/41.86  Changing weight limit from 58 to 59.
% 41.62/41.86  
% 41.62/41.86  Resetting weight limit to 59 after 7345 givens.
% 41.62/41.86  
% 41.62/41.87  
% 41.62/41.87  
% 41.62/41.87  Changing weight limit from 59 to 60.
% 41.62/41.87  
% 41.62/41.87  Resetting weight limit to 60 after 7350 givens.
% 41.62/41.87  
% 44.10/44.34  
% 44.10/44.34  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 44.10/44.34  
% 44.10/44.34  ----> UNIT CONFLICT at  43.49 sec ----> 142267 [binary,142266.1,113.1] {-} $F.
% 44.10/44.34  
% 44.10/44.34  Length of proof is 171.  Level of proof is 32.
% 44.10/44.34  
% 44.10/44.34  ---------------- PROOF ----------------
% 44.10/44.34  % SZS status Theorem
% 44.10/44.34  % SZS output start Refutation
% 44.10/44.34  
% 44.10/44.34  1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 44.10/44.34  2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 44.10/44.34  3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 44.10/44.34  4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 44.10/44.34  5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 44.10/44.34  7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 44.10/44.34  8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 44.10/44.34  9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 44.10/44.34  11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 44.10/44.34  14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 44.10/44.34  15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 44.10/44.34  16 [] {+} -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 44.10/44.34  17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 44.10/44.34  19 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(C,D,A,B,G,H,E,F).
% 44.10/44.34  21 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(A,B,E,F,C,D,G,H).
% 44.10/44.34  22 [] {+} -eqangle(A,B,C,D,E,F,G,H)| -eqangle(E,F,G,H,I,J,K,L)|eqangle(A,B,C,D,I,J,K,L).
% 44.10/44.34  25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 44.10/44.34  39 [] {+} -eqangle(A,B,C,D,E,F,C,D)|para(A,B,E,F).
% 44.10/44.34  40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 44.10/44.34  41 [] {+} -cyclic(A,B,C,D)|eqangle(C,A,C,B,D,A,D,B).
% 44.10/44.34  43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 44.10/44.34  44 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -cyclic(A,B,C,F)| -eqangle(C,A,C,B,F,D,F,E)|cong(A,B,D,E).
% 44.10/44.34  45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 44.10/44.34  46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 44.10/44.34  57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 44.10/44.34  58 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 44.10/44.34  64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 44.10/44.34  65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 44.10/44.34  67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 44.10/44.34  68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 44.10/44.34  69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 44.10/44.34  113 [] {+} -eqangle($c4,$c8,$c8,$c5,$c6,$c8,$c8,$c2).
% 44.10/44.34  114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 44.10/44.34  120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 44.10/44.34  123 [factor,44.2.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,E)|cong(A,B,D,E).
% 44.10/44.34  124 [factor,45.1.2] {+} -midp(A,B,C)|para(A,A,C,C).
% 44.10/44.34  125 [factor,57.1.2] {+} -cong(A,B,C,B)|perp(A,C,B,B).
% 44.10/44.34  129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 44.10/44.34  159 [] {-} perp($c5,$c8,$c7,$c6).
% 44.10/44.34  160 [] {-} coll($c5,$c7,$c6).
% 44.10/44.34  163 [] {-} coll($c3,$c8,$c5).
% 44.10/44.34  164 [] {-} perp($c8,$c6,$c3,$c2).
% 44.10/44.34  165 [] {-} coll($c2,$c7,$c6).
% 44.10/44.34  167 [hyper,159,8] {-} perp($c7,$c6,$c5,$c8).
% 44.10/44.34  168 [hyper,159,7] {-} perp($c5,$c8,$c6,$c7).
% 44.10/44.34  185 [hyper,160,114] {-} coll($c6,$c6,$c5).
% 44.10/44.34  186 [hyper,160,2] {-} coll($c7,$c5,$c6).
% 44.10/44.34  187 [hyper,160,1] {-} coll($c5,$c6,$c7).
% 44.10/44.34  200 [hyper,163,114] {-} coll($c5,$c5,$c3).
% 44.10/44.34  201 [hyper,163,2] {-} coll($c8,$c3,$c5).
% 44.10/44.34  202 [hyper,163,1] {-} coll($c3,$c5,$c8).
% 44.10/44.34  215 [hyper,165,114] {-} coll($c6,$c6,$c2).
% 44.10/44.34  217 [hyper,165,1] {-} coll($c2,$c6,$c7).
% 44.10/44.34  247 [hyper,185,114] {-} coll($c5,$c5,$c6).
% 44.10/44.34  248 [hyper,185,1] {-} coll($c6,$c5,$c6).
% 44.10/44.34  261 [hyper,186,114] {-} coll($c6,$c6,$c7).
% 44.10/44.34  262 [hyper,186,1] {-} coll($c7,$c6,$c5).
% 44.10/44.34  275 [hyper,187,114] {-} coll($c7,$c7,$c5).
% 44.10/44.34  289 [hyper,200,114] {-} coll($c3,$c3,$c5).
% 44.10/44.34  290 [hyper,200,1] {-} coll($c5,$c3,$c5).
% 44.10/44.34  320 [hyper,201,114] {-} coll($c5,$c5,$c8).
% 44.10/44.34  335 [hyper,202,2] {-} coll($c5,$c3,$c8).
% 44.10/44.34  348 [hyper,215,114] {-} coll($c2,$c2,$c6).
% 44.10/44.34  349 [hyper,215,3,185] {-} coll($c5,$c2,$c6).
% 44.10/44.34  350 [hyper,215,3,185] {-} coll($c2,$c5,$c6).
% 44.10/44.34  351 [hyper,215,1] {-} coll($c6,$c2,$c6).
% 44.10/44.34  377 [hyper,164,8] {-} perp($c3,$c2,$c8,$c6).
% 44.10/44.34  439 [hyper,261,1] {-} coll($c6,$c7,$c6).
% 44.10/44.34  452 [hyper,167,9,159] {-} para($c5,$c8,$c5,$c8).
% 44.10/44.34  453 [hyper,167,9,159] {-} para($c7,$c6,$c7,$c6).
% 44.10/44.34  454 [hyper,167,7] {-} perp($c7,$c6,$c8,$c5).
% 44.10/44.34  471 [hyper,262,114] {-} coll($c5,$c5,$c7).
% 44.10/44.34  485 [hyper,275,1] {-} coll($c7,$c5,$c7).
% 44.10/44.34  511 [hyper,289,1] {-} coll($c3,$c5,$c3).
% 44.10/44.34  525 [hyper,168,8] {-} perp($c6,$c7,$c5,$c8).
% 44.10/44.34  542 [hyper,290,114] {-} coll($c5,$c5,$c5).
% 44.10/44.34  556 [hyper,320,114] {-} coll($c8,$c8,$c5).
% 44.10/44.34  557 [hyper,320,3,247] {-} coll($c6,$c8,$c5).
% 44.10/44.34  558 [hyper,320,3,247] {-} coll($c8,$c6,$c5).
% 44.10/44.34  559 [hyper,320,1] {-} coll($c5,$c8,$c5).
% 44.10/44.34  699 [hyper,335,3,290] {-} coll($c8,$c5,$c5).
% 44.10/44.34  712 [hyper,348,1] {-} coll($c2,$c6,$c2).
% 44.10/44.34  725 [hyper,349,1] {-} coll($c5,$c6,$c2).
% 44.10/44.34  738 [hyper,350,1] {-} coll($c2,$c6,$c5).
% 44.10/44.34  1195 [hyper,471,3,320] {-} coll($c8,$c7,$c5).
% 44.10/44.34  1197 [hyper,471,3,320] {-} coll($c7,$c8,$c5).
% 44.10/44.34  1450 [hyper,556,1] {-} coll($c8,$c5,$c8).
% 44.10/44.34  1463 [hyper,557,1] {-} coll($c6,$c5,$c8).
% 44.10/44.34  1556 [hyper,558,1] {-} coll($c8,$c5,$c6).
% 44.10/44.34  1714 [hyper,712,3,217] {-} coll($c2,$c7,$c2).
% 44.10/44.34  1734 [hyper,725,2] {-} coll($c6,$c5,$c2).
% 44.10/44.34  1803 [hyper,738,114] {-} coll($c5,$c5,$c2).
% 44.10/44.34  2145 [hyper,1195,1] {-} coll($c8,$c5,$c7).
% 44.10/44.34  2171 [hyper,1197,1] {-} coll($c7,$c5,$c8).
% 44.10/44.34  2417 [hyper,1463,3,248] {-} coll($c6,$c8,$c6).
% 44.10/44.34  2434 [hyper,1556,114] {-} coll($c6,$c6,$c8).
% 44.10/44.34  2435 [hyper,1556,3,1450] {-} coll($c8,$c6,$c8).
% 44.10/44.34  2437 [hyper,1556,3,1450] {-} coll($c6,$c8,$c8).
% 44.10/44.34  2817 [hyper,1734,3,1463] {-} coll($c8,$c2,$c6).
% 44.10/44.34  3263 [hyper,2145,3,1450] {-} coll($c7,$c8,$c8).
% 44.10/44.34  3348 [hyper,2171,3,485] {-} coll($c7,$c8,$c7).
% 44.10/44.34  3713 [hyper,2817,1] {-} coll($c8,$c6,$c2).
% 44.10/44.34  4735 [hyper,3713,3,2435] {-} coll($c2,$c8,$c8).
% 44.10/44.34  5808 [hyper,377,9,164] {-} para($c8,$c6,$c8,$c6).
% 44.10/44.34  5923 [hyper,452,40] {-} eqangle($c5,$c8,A,B,$c5,$c8,A,B).
% 44.10/44.34  5924 [hyper,452,4] {-} para($c5,$c8,$c8,$c5).
% 44.10/44.34  6076 [hyper,454,8] {-} perp($c8,$c5,$c7,$c6).
% 44.10/44.34  6189 [hyper,525,9,168] {-} para($c6,$c7,$c6,$c7).
% 44.10/44.34  6310 [hyper,5808,4] {-} para($c8,$c6,$c6,$c8).
% 44.10/44.34  6656 [hyper,5924,5] {-} para($c8,$c5,$c5,$c8).
% 44.10/44.34  6673 [hyper,6076,9,454] {-} para($c8,$c5,$c8,$c5).
% 44.10/44.34  7908 [hyper,5923,43,1803] {-} cyclic($c8,$c2,$c5,$c5).
% 44.10/44.34  7909 [hyper,5923,43,542] {-} cyclic($c8,$c5,$c5,$c5).
% 44.10/44.34  7911 [hyper,5923,43,320] {-} cyclic($c8,$c8,$c5,$c5).
% 44.10/44.34  7915 [hyper,5923,19] {-} eqangle(A,B,$c5,$c8,A,B,$c5,$c8).
% 44.10/44.34  7932 [hyper,7908,120] {-} cyclic($c2,$c5,$c5,$c5).
% 44.10/44.34  7933 [hyper,7908,16] {-} cyclic($c2,$c8,$c5,$c5).
% 44.10/44.34  7934 [hyper,7908,15] {-} cyclic($c8,$c5,$c2,$c5).
% 44.10/44.34  7988 [hyper,7911,15] {-} cyclic($c8,$c5,$c8,$c5).
% 44.10/44.34  8044 [hyper,7932,16] {-} cyclic($c5,$c2,$c5,$c5).
% 44.10/44.34  8061 [hyper,7933,15] {-} cyclic($c2,$c5,$c8,$c5).
% 44.10/44.34  8080 [hyper,7934,14] {-} cyclic($c8,$c5,$c5,$c2).
% 44.10/44.34  8187 [hyper,7988,14] {-} cyclic($c8,$c5,$c5,$c8).
% 44.10/44.34  8313 [hyper,8044,15] {-} cyclic($c5,$c5,$c2,$c5).
% 44.10/44.34  8331 [hyper,8061,16] {-} cyclic($c5,$c2,$c8,$c5).
% 44.10/44.34  8367 [hyper,8080,120] {-} cyclic($c5,$c5,$c2,$c2).
% 44.10/44.34  8499 [hyper,8187,123,7909,5923] {-} cong($c8,$c5,$c8,$c5).
% 44.10/44.34  8504 [hyper,8187,17,8080] {-} cyclic($c5,$c5,$c2,$c8).
% 44.10/44.34  8703 [hyper,8331,14] {-} cyclic($c5,$c2,$c5,$c8).
% 44.10/44.34  8755 [hyper,8367,120] {-} cyclic($c5,$c2,$c2,$c2).
% 44.10/44.34  8758 [hyper,8367,17,8313] {-} cyclic($c5,$c2,$c2,$c5).
% 44.10/44.34  8987 [hyper,8499,68,699] {-} midp($c8,$c5,$c5).
% 44.10/44.34  9012 [hyper,8987,129,452] {-} midp($c8,$c8,$c8).
% 44.10/44.34  9014 [hyper,8987,124] {-} para($c8,$c8,$c5,$c5).
% 44.10/44.34  9015 [hyper,8987,46,6656,320] {-} midp($c5,$c5,$c8).
% 44.10/44.34  9034 [hyper,9012,129,5808] {-} midp($c8,$c6,$c6).
% 44.10/44.34  9042 [hyper,9012,69] {-} cong($c8,$c8,$c8,$c8).
% 44.10/44.34  9043 [hyper,9012,46,6673,559] {-} midp($c5,$c8,$c5).
% 44.10/44.34  9044 [hyper,9012,46,5808,2417] {-} midp($c6,$c8,$c6).
% 44.10/44.34  9087 [hyper,9015,69] {-} cong($c5,$c5,$c5,$c8).
% 44.10/44.34  9111 [hyper,9034,129,6189] {-} midp($c8,$c7,$c7).
% 44.10/44.34  9133 [hyper,9034,69] {-} cong($c8,$c6,$c8,$c6).
% 44.10/44.34  9136 [hyper,9034,46,6310,2434] {-} midp($c6,$c6,$c8).
% 44.10/44.34  9196 [hyper,9043,69] {-} cong($c5,$c8,$c5,$c5).
% 44.10/44.34  9266 [hyper,9044,69] {-} cong($c6,$c8,$c6,$c6).
% 44.10/44.34  9267 [hyper,9044,46,6189,3348] {-} midp($c7,$c8,$c7).
% 44.10/44.34  9339 [hyper,9111,64,9012] {-} para($c8,$c7,$c8,$c7).
% 44.10/44.34  9431 [hyper,9136,69] {-} cong($c6,$c6,$c6,$c8).
% 44.10/44.34  9529 [hyper,9267,69] {-} cong($c7,$c8,$c7,$c7).
% 44.10/44.34  9530 [hyper,9267,11] {-} midp($c7,$c7,$c8).
% 44.10/44.34  9639 [hyper,9530,69] {-} cong($c7,$c7,$c7,$c8).
% 44.10/44.34  9677 [hyper,8504,120] {-} cyclic($c5,$c2,$c8,$c8).
% 44.10/44.34  9682 [hyper,8504,17,8367] {-} cyclic($c5,$c2,$c8,$c2).
% 44.10/44.34  10092 [hyper,8703,41] {-} eqangle($c5,$c5,$c5,$c2,$c8,$c5,$c8,$c2).
% 44.10/44.34  10138 [hyper,8758,17,8755] {-} cyclic($c2,$c2,$c5,$c2).
% 44.10/44.34  10708 [hyper,9014,40] {-} eqangle($c8,$c8,A,B,$c5,$c5,A,B).
% 44.10/44.34  10805 [hyper,9042,125] {-} perp($c8,$c8,$c8,$c8).
% 44.10/44.34  11102 [hyper,9133,57,9042] {-} perp($c8,$c8,$c8,$c6).
% 44.10/44.34  11297 [hyper,9196,25,9087] {-} cong($c5,$c5,$c5,$c5).
% 44.10/44.34  11956 [hyper,9431,25,9266] {-} cong($c6,$c8,$c6,$c8).
% 44.10/44.34  12074 [hyper,9639,25,9529] {-} cong($c7,$c8,$c7,$c8).
% 44.10/44.34  12312 [hyper,9677,17,8331] {-} cyclic($c2,$c8,$c5,$c8).
% 44.10/44.34  12340 [hyper,9682,17,8331] {-} cyclic($c2,$c8,$c5,$c2).
% 44.10/44.34  14889 [hyper,11102,9,10805] {-} para($c8,$c8,$c8,$c6).
% 44.10/44.34  15222 [hyper,11297,68,542] {-} midp($c5,$c5,$c5).
% 44.10/44.34  15305 [hyper,15222,46,452,1450] {-} midp($c8,$c5,$c8).
% 44.10/44.34  17409 [hyper,11956,68,2437] {-} midp($c6,$c8,$c8).
% 44.10/44.34  17560 [hyper,17409,64,9136] {-} para($c8,$c6,$c8,$c8).
% 44.10/44.34  17578 [hyper,17409,45,9267] {-} para($c6,$c7,$c8,$c7).
% 44.10/44.34  20305 [hyper,12074,68,3263] {-} midp($c7,$c8,$c8).
% 44.10/44.34  20314 [hyper,20305,129,9339] {-} midp($c7,$c7,$c7).
% 44.10/44.34  20720 [hyper,20314,46,453,439] {-} midp($c6,$c7,$c6).
% 44.10/44.34  23692 [hyper,7915,44,12340,12312,7933] {-} cong($c2,$c8,$c2,$c8).
% 44.10/44.34  23694 [hyper,7915,39] {-} para(A,B,A,B).
% 44.10/44.34  30025 [hyper,23692,68,4735] {-} midp($c2,$c8,$c8).
% 44.10/44.34  30181 [hyper,30025,65,17560,14889] {-} midp($c2,$c6,$c8).
% 44.10/44.34  30237 [hyper,30181,129,17578] {-} midp($c2,$c7,$c7).
% 44.10/44.34  32871 [hyper,23694,129,30237] {-} midp($c2,A,A).
% 44.10/44.34  32876 [hyper,23694,67] {-} coll(A,B,B).
% 44.10/44.34  32986 [hyper,23694,46,20720,1714] {-} midp($c2,$c7,$c2).
% 44.10/44.34  32990 [hyper,23694,46,15305,511] {-} midp($c3,$c5,$c3).
% 44.10/44.34  33135 [hyper,32871,69] {-} cong($c2,A,$c2,A).
% 44.10/44.34  33177 [hyper,32871,46,23694,351] {-} midp($c6,$c2,$c6).
% 44.10/44.34  33823 [hyper,32876,114] {-} coll(A,A,B).
% 44.10/44.34  34182 [hyper,32986,64,32871] {-} para($c7,A,$c2,A).
% 44.10/44.34  36051 [hyper,33823,3,33823] {-} coll(A,B,C).
% 44.10/44.34  38548 [hyper,36051,46,33177,23694] {-} midp(A,$c2,A).
% 44.10/44.34  38550 [hyper,36051,46,32990,23694] {-} midp(A,$c5,A).
% 44.10/44.34  38552 [hyper,36051,46,32986,23694] {-} midp(A,$c7,A).
% 44.10/44.34  38858 [hyper,38548,11] {-} midp(A,A,$c2).
% 44.10/44.34  39397 [hyper,38552,69] {-} cong(A,$c7,A,A).
% 44.10/44.34  39649 [hyper,38858,69] {-} cong(A,A,A,$c2).
% 44.10/44.34  39656 [hyper,38858,64,38550] {-} para(A,$c5,$c2,A).
% 44.10/44.34  40956 [hyper,10708,22,10092] {-} eqangle($c8,$c8,$c5,$c2,$c8,$c5,$c8,$c2).
% 44.10/44.34  64189 [hyper,33135,58,33135,10138] {-} perp($c5,$c2,$c2,$c2).
% 44.10/44.34  64190 [hyper,33135,57,33135] {-} perp($c2,$c2,A,B).
% 44.10/44.34  65789 [hyper,39649,25,39397] {-} cong(A,$c7,A,$c2).
% 44.10/44.34  74675 [hyper,64190,9,64189] {-} para($c5,$c2,A,B).
% 44.10/44.34  112327 [hyper,65789,68,36051] {-} midp(A,$c7,$c2).
% 44.10/44.34  112345 [hyper,112327,129,34182] {-} midp(A,B,B).
% 44.10/44.34  113326 [hyper,112345,46,39656,36051] {-} midp($c5,$c2,A).
% 44.10/44.34  119847 [hyper,113326,11] {-} midp($c5,A,$c2).
% 44.10/44.34  126938 [hyper,40956,21] {-} eqangle($c8,$c8,$c8,$c5,$c5,$c2,$c8,$c2).
% 44.10/44.34  127692 [hyper,74675,46,119847,36051] {-} midp($c2,A,B).
% 44.10/44.34  127862 [hyper,127692,64,127692] {-} para(A,B,C,D).
% 44.10/44.34  131090 [hyper,127862,40] {-} eqangle(A,B,C,D,E,F,C,D).
% 44.10/44.34  138726 [hyper,131090,22,126938] {-} eqangle(A,B,$c8,$c5,$c5,$c2,$c8,$c2).
% 44.10/44.34  142266 [hyper,138726,22,131090] {-} eqangle(A,B,$c8,$c5,C,D,$c8,$c2).
% 44.10/44.34  142267 [binary,142266.1,113.1] {-} $F.
% 44.10/44.34  
% 44.10/44.34  % SZS output end Refutation
% 44.10/44.34  ------------ end of proof -------------
% 44.10/44.34  
% 44.10/44.34  
% 44.10/44.34  Search stopped by max_proofs option.
% 44.10/44.34  
% 44.10/44.34  
% 44.10/44.34  Search stopped by max_proofs option.
% 44.10/44.34  
% 44.10/44.34  ============ end of search ============
% 44.10/44.34  
% 44.10/44.34  That finishes the proof of the theorem.
% 44.10/44.34  
% 44.10/44.34  Process 24030 finished Fri Jun 17 17:05:30 2022
%------------------------------------------------------------------------------