TSTP Solution File: LCL688+1.001 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL688+1.001 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sun Jul 17 14:32:20 EDT 2022

% Result   : Theorem 160.23s 160.43s
% Output   : Refutation 160.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL688+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul  3 09:18:03 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.37  ----- Otter 3.2, August 2001 -----
% 0.12/0.37  The process was started by sandbox on n010.cluster.edu,
% 0.12/0.37  Sun Jul  3 09:18:03 2022
% 0.12/0.37  The command was "./sos".  The process ID is 6167.
% 0.12/0.37  
% 0.12/0.37  set(prolog_style_variables).
% 0.12/0.37  set(auto).
% 0.12/0.37     dependent: set(auto1).
% 0.12/0.37     dependent: set(process_input).
% 0.12/0.37     dependent: clear(print_kept).
% 0.12/0.37     dependent: clear(print_new_demod).
% 0.12/0.37     dependent: clear(print_back_demod).
% 0.12/0.37     dependent: clear(print_back_sub).
% 0.12/0.37     dependent: set(control_memory).
% 0.12/0.37     dependent: assign(max_mem, 12000).
% 0.12/0.37     dependent: assign(pick_given_ratio, 4).
% 0.12/0.37     dependent: assign(stats_level, 1).
% 0.12/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.37     dependent: assign(sos_limit, 5000).
% 0.12/0.37     dependent: assign(max_weight, 60).
% 0.12/0.37  clear(print_given).
% 0.12/0.37  
% 0.12/0.37  formula_list(usable).
% 0.12/0.37  
% 0.12/0.37  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=8.
% 0.12/0.37  
% 0.12/0.37  This is a non-Horn set without equality.  The strategy
% 0.12/0.37  will be ordered hyper_res, ur_res, unit deletion, and
% 0.12/0.37  factoring, with satellites in sos and nuclei in usable.
% 0.12/0.37  
% 0.12/0.37     dependent: set(hyper_res).
% 0.12/0.37     dependent: set(factor).
% 0.12/0.37     dependent: set(unit_deletion).
% 0.12/0.37  
% 0.12/0.37  ------------> process usable:
% 0.12/0.37  
% 0.12/0.37  ------------> process sos:
% 0.12/0.37  
% 0.12/0.37  ======= end of input processing =======
% 0.18/0.43  
% 0.18/0.43  Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.43  
% 0.18/0.43  Stopped by limit on number of solutions
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  -------------- Softie stats --------------
% 0.18/0.43  
% 0.18/0.43  UPDATE_STOP: 300
% 0.18/0.43  SFINDER_TIME_LIMIT: 2
% 0.18/0.43  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.43  number of clauses in intial UL: 139
% 0.18/0.43  number of clauses initially in problem: 144
% 0.18/0.43  percentage of clauses intially in UL: 96
% 0.18/0.43  percentage of distinct symbols occuring in initial UL: 94
% 0.18/0.43  percent of all initial clauses that are short: 100
% 0.18/0.43  absolute distinct symbol count: 18
% 0.18/0.43     distinct predicate count: 5
% 0.18/0.43     distinct function count: 7
% 0.18/0.43     distinct constant count: 6
% 0.18/0.43  
% 0.18/0.43  ---------- no more Softie stats ----------
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.43  
% 0.18/0.43  Stopped by limit on number of solutions
% 0.18/0.43  
% 0.18/0.43  =========== start of search ===========
% 4.75/4.98  
% 4.75/4.98  Model 3 (0.00 seconds, 0 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on number of solutions
% 4.75/4.98  
% 4.75/4.98  Model 4 (0.00 seconds, 0 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on number of solutions
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 5 [ 1 0 1011 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 6 [ 3 0 3890 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 7 [ 2 1 6911 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 8 [ 2 0 4997 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 9 [ 3 1 3360 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 10 [ 4 0 1384 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 11 [ 3 0 404 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 12 [ 3 1 1436 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 13 [ 3 0 409 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 14 [ 6 1 286 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 15 [ 6 0 538 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 16 [ 6 1 8533 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 17 [ 5 1 2664 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 18 [ 5 1 2079 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 19 [ 11 0 1179 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 20 [ 9 0 5905 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 21 [ 6 0 798 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 22 [ 14 1 2392 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 23 [ 11 1 1878 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 24 [ 5 1 1900 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 25 [ 7 1 2067 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 26 [ 9 1 741 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 27 [ 7 1 479 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 28 [ 9 0 372 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 29 [ 14 0 2024 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 30 [ 4 1 1873 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 31 [ 9 0 3244 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 32 [ 6 0 471 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 33 [ 16 1 1547 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 34 [ 7 0 414 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 35 [ 11 1 4733 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 36 [ 10 1 359 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 37 [ 8 0 564 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 38 [ 6 1 1711 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 39 [ 8 1 2270 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 40 [ 13 0 4754 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 41 [ 17 1 795 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 42 [ 18 1 2345 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 43 [ 12 0 337 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 44 [ 17 1 1995 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 45 [ 22 1 2149 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 46 [ 15 0 337 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 4.75/4.98  Model 47 [ 28 0 487 ] (0.00 seconds, 250000 Inserts)
% 4.75/4.98  
% 4.75/4.98  Stopped by limit on insertions
% 4.75/4.98  
% 10.13/10.39  Model 48 [ 14 1 642 ] (0.00
% 10.13/10.39  
% 10.13/10.39  Changing weight limit from 60 to 56.
% 10.13/10.39   seconds, 250000 Inserts)
% 10.13/10.39  
% 10.13/10.39  Stopped by limit on insertions
% 10.13/10.39  
% 10.13/10.39  Stopped by limit on insertions
% 10.13/10.39  
% 10.13/10.39  Model 49 [ 25 1 1661 ] (0.00 seconds, 250000 Inserts)
% 10.13/10.39  
% 10.13/10.39  Stopped by limit on insertions
% 10.13/10.39  
% 10.13/10.39  Model 50 [ 14 1 3769 ] (0.00 seconds, 250000 Inserts)
% 10.13/10.39  
% 10.13/10.39  Stopped by limit on insertions
% 10.13/10.39  
% 10.13/10.39  Model 51 [ 11 1 2199 ] (0.00 seconds, 250000 Inserts)
% 10.13/10.39  
% 10.13/10.39  Stopped by limit on insertions
% 10.13/10.39  
% 10.13/10.39  Model 52 [ 18 1 963 ] (0.00 seconds, 250000 Inserts)
% 10.13/10.39  
% 10.13/10.39  Stopped by limit on insertions
% 10.13/10.39  
% 10.13/10.39  Model 53 [ 23 1 1217 ] (0.00 seconds, 250000 Inserts)
% 10.13/10.39  
% 10.13/10.39  Stopped by limit on insertions
% 10.13/10.39  
% 10.13/10.39  Model 54 [ 37 0 5130 ] (0.00 seconds, 250000 Inserts)
% 10.13/10.39  
% 10.13/10.39  Stopped by limit on insertions
% 10.13/10.39  
% 10.13/10.39  Model 55 [ 34 1 1129 ] (0.00 seconds, 250000 Inserts)
% 10.13/10.39  
% 10.13/10.39  Stopped by limit on insertions
% 10.13/10.39  
% 10.13/10.39  Model 56 [ 16 1 1928 ] (0.00 seconds, 250000 Inserts)
% 10.13/10.39  
% 10.13/10.39  Stopped by limit on insertions
% 10.13/10.39  
% 10.13/10.39  Model 57 [ 21 0 1810 ] (0.00 seconds, 250000 Inserts)
% 10.13/10.39  
% 10.13/10.39  Resetting weight limit to 56 after 375 givens.
% 10.13/10.39  
% 10.43/10.71  
% 10.43/10.71  
% 10.43/10.71  Changing weight limit from 56 to 57.
% 10.43/10.71  
% 10.43/10.71  Stopped by limit on insertions
% 10.43/10.71  
% 10.43/10.71  Model 58 [ 18 1 756 ] (0.00 seconds, 250000 Inserts)
% 10.43/10.71  
% 10.43/10.71  Resetting weight limit to 57 after 385 givens.
% 10.43/10.71  
% 10.52/10.75  
% 10.52/10.75  
% 10.52/10.75  Changing weight limit from 57 to 58.
% 10.52/10.75  
% 10.52/10.75  Resetting weight limit to 58 after 390 givens.
% 10.52/10.75  
% 10.63/10.86  
% 10.63/10.86  
% 10.63/10.86  Changing weight limit from 58 to 54.
% 10.63/10.86  
% 10.63/10.86  Resetting weight limit to 54 after 395 givens.
% 10.63/10.86  
% 11.02/11.28  
% 11.02/11.28  
% 11.02/11.28  Changing weight limit from 54 to 55.
% 11.02/11.28  
% 11.02/11.28  Resetting weight limit to 55 after 410 givens.
% 11.02/11.28  
% 11.22/11.44  
% 11.22/11.44  
% 11.22/11.44  Changing weight limit from 55 to 54.
% 11.22/11.44  
% 11.22/11.44  Resetting weight limit to 54 after 415 givens.
% 11.22/11.44  
% 11.52/11.78  
% 11.52/11.78  
% 11.52/11.78  Changing weight limit from 54 to 55.
% 11.52/11.78  
% 11.52/11.78  Resetting weight limit to 55 after 425 givens.
% 11.52/11.78  
% 11.73/11.91  
% 11.73/11.91  
% 11.73/11.91  Changing weight limit from 55 to 54.
% 11.73/11.91  
% 11.73/11.91  Resetting weight limit to 54 after 430 givens.
% 11.73/11.91  
% 18.02/18.21  
% 18.02/18.21  
% 18.02/18.21  Changing weight limit from 54 to 55.
% 18.02/18.21  
% 18.02/18.21  Modelling stopped after 300 given clauses and 0.00 seconds
% 18.02/18.21  
% 18.02/18.21  
% 18.02/18.21  Resetting weight limit to 55 after 605 givens.
% 18.02/18.21  
% 18.13/18.32  
% 18.13/18.32  
% 18.13/18.32  Changing weight limit from 55 to 54.
% 18.13/18.32  
% 18.13/18.32  Resetting weight limit to 54 after 610 givens.
% 18.13/18.32  
% 19.52/19.71  
% 19.52/19.71  
% 19.52/19.71  Changing weight limit from 54 to 55.
% 19.52/19.71  
% 19.52/19.71  Resetting weight limit to 55 after 650 givens.
% 19.52/19.71  
% 19.73/19.91  
% 19.73/19.91  
% 19.73/19.91  Changing weight limit from 55 to 54.
% 19.73/19.91  
% 19.73/19.91  Resetting weight limit to 54 after 655 givens.
% 19.73/19.91  
% 24.70/24.95  
% 24.70/24.95  
% 24.70/24.95  Changing weight limit from 54 to 55.
% 24.70/24.95  
% 24.70/24.95  Resetting weight limit to 55 after 735 givens.
% 24.70/24.95  
% 25.09/25.28  
% 25.09/25.28  
% 25.09/25.28  Changing weight limit from 55 to 54.
% 25.09/25.28  
% 25.09/25.28  Resetting weight limit to 54 after 740 givens.
% 25.09/25.28  
% 25.70/25.89  
% 25.70/25.89  
% 25.70/25.89  Changing weight limit from 54 to 55.
% 25.70/25.89  
% 25.70/25.89  Resetting weight limit to 55 after 745 givens.
% 25.70/25.89  
% 25.83/26.07  
% 25.83/26.07  
% 25.83/26.07  Changing weight limit from 55 to 54.
% 25.83/26.07  
% 25.83/26.07  Resetting weight limit to 54 after 750 givens.
% 25.83/26.07  
% 160.23/160.43  
% 160.23/160.43  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 160.23/160.43  
% 160.23/160.43  -----> EMPTY CLAUSE at 159.85 sec ----> 30317 [hyper,30254,22,175] {-} $F.
% 160.23/160.43  
% 160.23/160.43  Length of proof is 9.  Level of proof is 7.
% 160.23/160.43  
% 160.23/160.43  ---------------- PROOF ----------------
% 160.23/160.43  % SZS status Theorem
% 160.23/160.43  % SZS output start Refutation
% 160.23/160.43  
% 160.23/160.43  1 [] {+} -r1(A,B)| -r1(B,C)|r1(A,C).
% 160.23/160.43  3 [] {+} -r1($c6,A)| -r1(A,B)|r1(B,$f2(A,B)).
% 160.23/160.43  6 [] {+} -r1($c6,A)| -r1(A,B)|p2($f2(A,B)).
% 160.23/160.43  11 [] {+} -r1($c6,A)| -r1(A,B)| -r1(B,C)|p2(C)| -p2(B)| -r1(B,D)|r1(D,$f4(A,B,D)).
% 160.23/160.43  12 [] {+} -r1($c6,A)| -r1(A,B)| -r1(B,C)|p2(C)| -p2(B)| -r1(B,D)| -r1($f4(A,B,D),E)| -p2(E).
% 160.23/160.43  21 [] {+} -r1($c5,A)|r1(A,$f6(A)).
% 160.23/160.43  22 [] {+} -r1($c5,A)| -p2($f6(A)).
% 160.23/160.43  140 [] {+} r1(A,A).
% 160.23/160.43  144 [] {+} r1($c6,$c5).
% 160.23/160.43  171 [hyper,144,6,140] {+} p2($f2($c6,$c5)).
% 160.23/160.43  175 [hyper,144,3,140] {+} r1($c5,$f2($c6,$c5)).
% 160.23/160.43  209 [hyper,175,21] {+} r1($f2($c6,$c5),$f6($f2($c6,$c5))).
% 160.23/160.43  966 [hyper,209,11,144,175,171,140] {-} p2($f6($f2($c6,$c5)))|r1($f2($c6,$c5),$f4($c5,$f2($c6,$c5),$f2($c6,$c5))).
% 160.23/160.43  21509 [hyper,966,22,175] {-} r1($f2($c6,$c5),$f4($c5,$f2($c6,$c5),$f2($c6,$c5))).
% 160.23/160.43  21749 [hyper,21509,1,175] {-} r1($c5,$f4($c5,$f2($c6,$c5),$f2($c6,$c5))).
% 160.23/160.43  21751 [hyper,21749,6,144] {-} p2($f2($c5,$f4($c5,$f2($c6,$c5),$f2($c6,$c5)))).
% 160.23/160.43  21753 [hyper,21749,3,144] {-} r1($f4($c5,$f2($c6,$c5),$f2($c6,$c5)),$f2($c5,$f4($c5,$f2($c6,$c5),$f2($c6,$c5)))).
% 160.23/160.43  30254 [hyper,21753,12,144,175,209,171,140,21751] {-} p2($f6($f2($c6,$c5))).
% 160.23/160.43  30317 [hyper,30254,22,175] {-} $F.
% 160.23/160.43  
% 160.23/160.43  % SZS output end Refutation
% 160.23/160.43  ------------ end of proof -------------
% 160.23/160.43  
% 160.23/160.43  
% 160.23/160.43  Search stopped by max_proofs option.
% 160.23/160.43  
% 160.23/160.43  
% 160.23/160.43  Search stopped by max_proofs option.
% 160.23/160.43  
% 160.23/160.43  ============ end of search ============
% 160.23/160.43  
% 160.23/160.43  ----------- soft-scott stats ----------
% 160.23/160.43  
% 160.23/160.43  true clauses given         629      (37.1%)
% 160.23/160.43  false clauses given       1068
% 160.23/160.43  
% 160.23/160.43        FALSE     TRUE
% 160.23/160.43     6  0         1
% 160.23/160.43     9  0         83
% 160.23/160.43    10  0         78
% 160.23/160.43    11  0         139
% 160.23/160.43    12  1         105
% 160.23/160.43    13  0         180
% 160.23/160.43    14  1         70
% 160.23/160.43    15  0         83
% 160.23/160.43    16  1         67
% 160.23/160.43    17  0         136
% 160.23/160.43    18  0         62
% 160.23/160.43    19  11        52
% 160.23/160.43    20  34        76
% 160.23/160.43    21  86        224
% 160.23/160.43    22  20        221
% 160.23/160.43    23  31        127
% 160.23/160.43    24  41        170
% 160.23/160.43    25  68        179
% 160.23/160.43    26  25        336
% 160.23/160.43    27  77        51
% 160.23/160.43    28  34        11
% 160.23/160.43    29  47        2
% 160.23/160.43    30  31        1
% 160.23/160.43    31  31        0
% 160.23/160.43    32  27        1
% 160.23/160.43    33  66        0
% 160.23/160.43    34  16        3
% 160.23/160.43    35  29        0
% 160.23/160.43    36  76        3
% 160.23/160.43    37  21        0
% 160.23/160.43    38  25        2
% 160.23/160.43    39  69        0
% 160.23/160.43    40  84        0
% 160.23/160.43    41  35        0
% 160.23/160.43    42  22        0
% 160.23/160.43    43  36        0
% 160.23/160.43    44  99        0
% 160.23/160.43    45  11        0
% 160.23/160.43    46  24        0
% 160.23/160.43    47  18        0
% 160.23/160.43    48  120       0
% 160.23/160.43    49  35        0
% 160.23/160.43    50  33        2
% 160.23/160.43    51  15        0
% 160.23/160.43    52  128       0
% 160.23/160.43    54  58        5
% 160.23/160.43  tot:  1586      2470      (60.9% true)
% 160.23/160.43  
% 160.23/160.43  
% 160.23/160.43  Model 58 [ 18 1 756 ] (0.01 seconds, 250000 Inserts)
% 160.23/160.43  
% 160.23/160.43  That finishes the proof of the theorem.
% 160.23/160.43  
% 160.23/160.43  Process 6167 finished Sun Jul  3 09:20:43 2022
%------------------------------------------------------------------------------