↑ Up

SOS---2.0.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GRA014+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n025.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 07:22:02 EDT 2022

% Result   : Theorem 4.56s 4.75s
% Output   : Refutation 4.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GRA014+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n025.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 : Tue May 31 04:00:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  ----- Otter 3.2, August 2001 -----
% 0.12/0.34  The process was started by sandbox on n025.cluster.edu,
% 0.12/0.34  Tue May 31 04:00:12 2022
% 0.12/0.34  The command was "./sos".  The process ID is 26881.
% 0.12/0.34  
% 0.12/0.34  set(prolog_style_variables).
% 0.12/0.34  set(auto).
% 0.12/0.34     dependent: set(auto1).
% 0.12/0.34     dependent: set(process_input).
% 0.12/0.34     dependent: clear(print_kept).
% 0.12/0.34     dependent: clear(print_new_demod).
% 0.12/0.34     dependent: clear(print_back_demod).
% 0.12/0.34     dependent: clear(print_back_sub).
% 0.12/0.34     dependent: set(control_memory).
% 0.12/0.34     dependent: assign(max_mem, 12000).
% 0.12/0.34     dependent: assign(pick_given_ratio, 4).
% 0.12/0.34     dependent: assign(stats_level, 1).
% 0.12/0.34     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.34     dependent: assign(sos_limit, 5000).
% 0.12/0.34     dependent: assign(max_weight, 60).
% 0.12/0.34  clear(print_given).
% 0.12/0.34  
% 0.12/0.34  formula_list(usable).
% 0.12/0.34  
% 0.12/0.34  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 0.12/0.34  
% 0.12/0.34  This is a non-Horn set without equality.  The strategy
% 0.12/0.34  will be ordered hyper_res, ur_res, unit deletion, and
% 0.12/0.34  factoring, with satellites in sos and nuclei in usable.
% 0.12/0.34  
% 0.12/0.34     dependent: set(hyper_res).
% 0.12/0.34     dependent: set(factor).
% 0.12/0.34     dependent: set(unit_deletion).
% 0.12/0.34  
% 0.12/0.34  ------------> process usable:
% 0.12/0.34  
% 0.12/0.34  ------------> process sos:
% 0.12/0.34  
% 0.12/0.34  ======= end of input processing =======
% 0.12/0.36  
% 0.12/0.36  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.36  
% 0.12/0.36  Stopped by limit on number of solutions
% 0.12/0.36  
% 0.12/0.36  
% 0.12/0.36  -------------- Softie stats --------------
% 0.12/0.36  
% 0.12/0.36  UPDATE_STOP: 300
% 0.12/0.36  SFINDER_TIME_LIMIT: 2
% 0.12/0.36  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.36  number of clauses in intial UL: 7
% 0.12/0.36  number of clauses initially in problem: 12
% 0.12/0.36  percentage of clauses intially in UL: 58
% 0.12/0.36  percentage of distinct symbols occuring in initial UL: 40
% 0.12/0.36  percent of all initial clauses that are short: 100
% 0.12/0.36  absolute distinct symbol count: 10
% 0.12/0.36     distinct predicate count: 3
% 0.12/0.36     distinct function count: 0
% 0.12/0.36     distinct constant count: 7
% 0.12/0.36  
% 0.12/0.36  ---------- no more Softie stats ----------
% 0.12/0.36  
% 0.12/0.36  
% 0.12/0.36  
% 0.12/0.36  =========== start of search ===========
% 4.56/4.75  
% 4.56/4.75  -------- PROOF -------- 
% 4.56/4.75  % SZS status Theorem
% 4.56/4.75  % SZS output start Refutation
% 4.56/4.75  
% 4.56/4.75  Model 2 (0.00 seconds, 0 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on number of solutions
% 4.56/4.75  
% 4.56/4.75  Model 3 (0.00 seconds, 0 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on number of solutions
% 4.56/4.75  
% 4.56/4.75  Model 4 [ 1 0 66 ] (0.00 seconds, 128902 Inserts)
% 4.56/4.75  
% 4.56/4.75  Model 5 [ 1 0 82 ] (0.00 seconds, 243783 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 6 [ 1 1 402 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Model 7 [ 1 0 633 ] (0.00 seconds, 63703 Inserts)
% 4.56/4.75  
% 4.56/4.75  Model 8 [ 2 0 279 ] (0.00 seconds, 119768 Inserts)
% 4.56/4.75  
% 4.56/4.75  Model 9 [ 3 0 961 ] (0.00 seconds, 165013 Inserts)
% 4.56/4.75  
% 4.56/4.75  Model 10 [ 3 0 2440 ] (0.00 seconds, 181087 Inserts)
% 4.56/4.75  
% 4.56/4.75  Model 11 [ 3 0 407 ] (0.00 seconds, 107608 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 12 [ 4 0 253 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 13 [ 4 1 308 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 14 [ 4 1 1117 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 15 [ 4 1 1754 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 16 [ 4 1 623 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 17 [ 4 1 2327 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 18 [ 5 0 591 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 19 [ 5 1 1632 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 20 [ 5 0 616 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 21 [ 5 1 2590 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 22 [ 5 0 2626 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 23 [ 5 1 8653 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Model 24 [ 5 0 1174 ] (0.00 seconds, 230516 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 25 [ 6 0 3796 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 26 [ 6 1 838 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 27 [ 6 1 8179 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  ----> UNIT CONFLICT at   4.32 sec ----> 1374 [binary,1373.1,5.1] {-} $F.
% 4.56/4.75  
% 4.56/4.75  Length of proof is 155.  Level of proof is 28.
% 4.56/4.75  
% 4.56/4.75  ---------------- PROOF ----------------
% 4.56/4.75  % SZS status Theorem
% 4.56/4.75  % SZS output start Refutation
% 4.56/4.75  
% 4.56/4.75  1 [] {+} -red(A,B)| -red(B,C)| -red(A,C)|goal.
% 4.56/4.75  2 [] {+} -green(A,B)| -green(B,C)| -green(A,C)|goal.
% 4.56/4.75  3 [] {+} -less_than(A,B)| -less_than(B,C)|less_than(A,C).
% 4.56/4.75  4 [] {+} -less_than(A,B)|red(A,B)|green(A,B).
% 4.56/4.75  5 [] {+} -goal.
% 4.56/4.75  8 [] {+} less_than(n1,n2).
% 4.56/4.75  9 [] {+} less_than(n2,n3).
% 4.56/4.75  10 [] {+} less_than(n3,n4).
% 4.56/4.75  11 [] {+} less_than(n4,n5).
% 4.56/4.75  12 [] {+} less_than(n5,n6).
% 4.56/4.75  13 [hyper,8,4] {+} red(n1,n2)|green(n1,n2).
% 4.56/4.75  14 [hyper,9,4] {+} red(n2,n3)|green(n2,n3).
% 4.56/4.75  15 [hyper,9,3,8] {+} less_than(n1,n3).
% 4.56/4.75  16 [hyper,10,4] {+} red(n3,n4)|green(n3,n4).
% 4.56/4.75  17 [hyper,10,3,9] {+} less_than(n2,n4).
% 4.56/4.75  18 [hyper,11,4] {+} red(n4,n5)|green(n4,n5).
% 4.56/4.75  19 [hyper,11,3,10] {+} less_than(n3,n5).
% 4.56/4.75  20 [hyper,12,4] {+} red(n5,n6)|green(n5,n6).
% 4.56/4.75  21 [hyper,12,3,11] {+} less_than(n4,n6).
% 4.56/4.75  22 [hyper,15,4] {+} red(n1,n3)|green(n1,n3).
% 4.56/4.75  23 [hyper,15,3,10] {+} less_than(n1,n4).
% 4.56/4.75  24 [hyper,17,4] {+} red(n2,n4)|green(n2,n4).
% 4.56/4.75  25 [hyper,17,3,11] {+} less_than(n2,n5).
% 4.56/4.75  26 [hyper,19,4] {+} red(n3,n5)|green(n3,n5).
% 4.56/4.75  27 [hyper,19,3,15] {+} less_than(n1,n5).
% 4.56/4.75  28 [hyper,19,3,12] {+} less_than(n3,n6).
% 4.56/4.75  29 [hyper,21,4] {+} red(n4,n6)|green(n4,n6).
% 4.56/4.75  30 [hyper,21,3,17] {+} less_than(n2,n6).
% 4.56/4.75  31 [hyper,23,4] {+} red(n1,n4)|green(n1,n4).
% 4.56/4.75  32 [hyper,23,3,21] {+} less_than(n1,n6).
% 4.56/4.75  33 [hyper,25,4] {+} red(n2,n5)|green(n2,n5).
% 4.56/4.75  34 [hyper,28,4] {+} red(n3,n6)|green(n3,n6).
% 4.56/4.75  35 [hyper,27,4] {+} red(n1,n5)|green(n1,n5).
% 4.56/4.75  36 [hyper,26,1,16,18,unit_del,5] {+} green(n3,n5)|green(n3,n4)|green(n4,n5).
% 4.56/4.75  37 [hyper,30,4] {+} red(n2,n6)|green(n2,n6).
% 4.56/4.75  38 [hyper,22,1,13,14,unit_del,5] {-} green(n1,n3)|green(n1,n2)|green(n2,n3).
% 4.56/4.75  39 [hyper,32,4] {+} red(n1,n6)|green(n1,n6).
% 4.56/4.75  40 [hyper,24,1,14,16,unit_del,5] {-} green(n2,n4)|green(n2,n3)|green(n3,n4).
% 4.56/4.75  41 [hyper,29,1,18,20,unit_del,5] {+} green(n4,n6)|green(n4,n5)|green(n5,n6).
% 4.56/4.75  42 [hyper,31,1,22,16,unit_del,5] {-} green(n1,n4)|green(n1,n3)|green(n3,n4).
% 4.56/4.75  43 [hyper,31,1,13,24,unit_del,5] {-} green(n1,n4)|green(n1,n2)|green(n2,n4).
% 4.56/4.75  44 [hyper,33,1,24,18,unit_del,5] {+} green(n2,n5)|green(n2,n4)|green(n4,n5).
% 4.56/4.75  45 [hyper,33,1,14,26,unit_del,5] {+} green(n2,n5)|green(n2,n3)|green(n3,n5).
% 4.56/4.75  46 [hyper,34,1,26,20,unit_del,5] {+} green(n3,n6)|green(n3,n5)|green(n5,n6).
% 4.56/4.75  47 [hyper,34,1,16,29,unit_del,5] {+} green(n3,n6)|green(n3,n4)|green(n4,n6).
% 4.56/4.75  48 [hyper,42,2,38,40,unit_del,5,factor_simp,factor_simp,factor_simp] {-} green(n1,n3)|green(n3,n4)|green(n2,n3).
% 4.56/4.75  49 [hyper,35,1,31,18,unit_del,5] {+} green(n1,n5)|green(n1,n4)|green(n4,n5).
% 4.56/4.75  50 [hyper,35,1,22,26,unit_del,5] {+} green(n1,n5)|green(n1,n3)|green(n3,n5).
% 4.56/4.75  51 [hyper,35,1,13,33,unit_del,5] {+} green(n1,n5)|green(n1,n2)|green(n2,n5).
% 4.56/4.75  52 [hyper,43,2,38,40,unit_del,5,factor_simp,factor_simp,factor_simp] {-} green(n1,n2)|green(n2,n4)|green(n2,n3).
% 4.56/4.75  53 [hyper,43,2,40,42,unit_del,5,factor_simp,factor_simp,factor_simp] {-} green(n1,n4)|green(n2,n4)|green(n3,n4).
% 4.56/4.75  54 [hyper,43,2,38,42,unit_del,5,factor_simp,factor_simp,factor_simp] {-} green(n1,n4)|green(n1,n2)|green(n1,n3).
% 4.56/4.75  55 [hyper,37,1,33,20,unit_del,5] {+} green(n2,n6)|green(n2,n5)|green(n5,n6).
% 4.56/4.75  56 [hyper,37,1,24,29,unit_del,5] {+} green(n2,n6)|green(n2,n4)|green(n4,n6).
% 4.56/4.75  57 [hyper,37,1,14,34,unit_del,5] {+} green(n2,n6)|green(n2,n3)|green(n3,n6).
% 4.56/4.75  58 [hyper,39,1,35,20,unit_del,5] {+} green(n1,n6)|green(n1,n5)|green(n5,n6).
% 4.56/4.75  59 [hyper,39,1,31,29,unit_del,5] {+} green(n1,n6)|green(n1,n4)|green(n4,n6).
% 4.56/4.75  60 [hyper,39,1,22,34,unit_del,5] {+} green(n1,n6)|green(n1,n3)|green(n3,n6).
% 4.56/4.75  61 [hyper,39,1,13,37,unit_del,5] {+} green(n1,n6)|green(n1,n2)|green(n2,n6).
% 4.56/4.75  64 [hyper,44,2,40,36,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n2,n4)|green(n4,n5)|green(n3,n4).
% 4.56/4.75  68 [hyper,45,2,52,41,unit_del,5,factor_simp] {+} green(n2,n3)|green(n3,n5)|green(n1,n2)|green(n4,n6)|green(n5,n6).
% 4.56/4.75  71 [hyper,45,2,40,36,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n2,n3)|green(n3,n5)|green(n3,n4).
% 4.56/4.75  73 [hyper,45,2,36,44,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n2,n5)|green(n3,n5)|green(n4,n5).
% 4.56/4.75  77 [hyper,45,2,40,44,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n2,n5)|green(n2,n3)|green(n2,n4).
% 4.56/4.75  82 [hyper,46,2,36,41,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n3,n5)|green(n5,n6)|green(n4,n5).
% 4.56/4.75  94 [hyper,47,2,41,46,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n3,n6)|green(n4,n6)|green(n5,n6).
% 4.56/4.75  107 [hyper,49,2,43,44,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n4)|green(n4,n5)|green(n2,n4).
% 4.56/4.75  109 [hyper,49,2,42,36,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n4)|green(n4,n5)|green(n3,n4).
% 4.56/4.75  134 [hyper,50,2,36,49,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n5)|green(n3,n5)|green(n4,n5).
% 4.56/4.75  140 [hyper,50,2,42,49,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n5)|green(n1,n3)|green(n1,n4).
% 4.56/4.75  149 [hyper,51,2,43,44,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n2)|green(n2,n5)|green(n2,n4).
% 4.56/4.75  153 [hyper,51,2,44,49,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n5)|green(n2,n5)|green(n4,n5).
% 4.56/4.75  160 [hyper,51,2,43,49,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n5)|green(n1,n2)|green(n1,n4).
% 4.56/4.75  161 [hyper,51,2,38,50,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n5)|green(n1,n2)|green(n1,n3).
% 4.56/4.75  165 [hyper,55,2,45,46,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n2,n5)|green(n5,n6)|green(n3,n5).
% 4.56/4.75  197 [hyper,56,2,40,47,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n2,n4)|green(n4,n6)|green(n3,n4).
% 4.56/4.75  205 [hyper,56,2,41,55,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n2,n6)|green(n4,n6)|green(n5,n6).
% 4.56/4.75  216 [hyper,57,2,45,46,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n2,n3)|green(n3,n6)|green(n3,n5).
% 4.56/4.75  218 [hyper,57,2,40,47,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n2,n3)|green(n3,n6)|green(n3,n4).
% 4.56/4.75  222 [hyper,57,2,46,55,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n2,n6)|green(n3,n6)|green(n5,n6).
% 4.56/4.75  230 [hyper,57,2,45,55,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n2,n6)|green(n2,n3)|green(n2,n5).
% 4.56/4.75  231 [hyper,57,2,40,56,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n2,n6)|green(n2,n3)|green(n2,n4).
% 4.56/4.75  238 [hyper,58,2,51,55,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n5)|green(n5,n6)|green(n2,n5).
% 4.56/4.75  241 [hyper,58,2,50,46,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n5)|green(n5,n6)|green(n3,n5).
% 4.56/4.75  244 [hyper,58,2,49,41,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n5)|green(n5,n6)|green(n4,n5).
% 4.56/4.75  299 [hyper,59,2,43,56,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n4)|green(n4,n6)|green(n2,n4).
% 4.56/4.75  300 [hyper,59,2,42,47,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n4)|green(n4,n6)|green(n3,n4).
% 4.56/4.75  309 [hyper,59,2,41,58,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n6)|green(n4,n6)|green(n5,n6).
% 4.56/4.75  311 [hyper,59,2,49,58,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n6)|green(n1,n4)|green(n1,n5).
% 4.56/4.75  334 [hyper,60,2,50,46,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n3)|green(n3,n6)|green(n3,n5).
% 4.56/4.75  340 [hyper,60,2,47,59,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n6)|green(n3,n6)|green(n4,n6).
% 4.56/4.75  341 [hyper,60,2,46,58,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n6)|green(n3,n6)|green(n5,n6).
% 4.56/4.75  345 [hyper,60,2,50,58,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n6)|green(n1,n3)|green(n1,n5).
% 4.56/4.75  348 [hyper,60,2,42,59,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n6)|green(n1,n3)|green(n1,n4).
% 4.56/4.75  359 [hyper,61,2,51,55,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n2)|green(n2,n6)|green(n2,n5).
% 4.56/4.75  365 [hyper,61,2,57,60,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n6)|green(n2,n6)|green(n3,n6).
% 4.56/4.75  367 [hyper,61,2,55,58,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n6)|green(n2,n6)|green(n5,n6).
% 4.56/4.75  373 [hyper,61,2,51,58,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n6)|green(n1,n2)|green(n1,n5).
% 4.56/4.75  377 [hyper,61,2,43,59,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n6)|green(n1,n2)|green(n1,n4).
% 4.56/4.75  378 [hyper,61,2,38,60,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n1,n6)|green(n1,n2)|green(n1,n3).
% 4.56/4.75  383 [hyper,64,2,53,58,unit_del,5,factor_simp,factor_simp] {+} green(n2,n4)|green(n3,n4)|green(n1,n6)|green(n5,n6).
% 4.56/4.75  400 [hyper,71,2,68,46,unit_del,5,factor_simp,factor_simp,factor_simp,factor_simp] {+} green(n2,n3)|green(n3,n5)|green(n1,n2)|green(n5,n6).
% 4.56/4.75  434 [hyper,82,2,54,50,unit_del,5,factor_simp,factor_simp] {+} green(n3,n5)|green(n5,n6)|green(n1,n2)|green(n1,n3).
% 4.56/4.75  577 [hyper,153,2,57,134,unit_del,5,factor_simp,factor_simp] {+} green(n1,n5)|green(n4,n5)|green(n2,n6)|green(n3,n6).
% 4.56/4.75  1053 [hyper,383,2,309,367,unit_del,5,factor_simp,factor_simp,factor_simp,factor_simp] {+} green(n3,n4)|green(n1,n6)|green(n5,n6).
% 4.56/4.75  1055 [hyper,383,2,53,197,unit_del,5,factor_simp,factor_simp,factor_simp,factor_simp] {-} green(n2,n4)|green(n3,n4)|green(n5,n6).
% 4.56/4.75  1058 [hyper,400,2,54,160,unit_del,5,factor_simp,factor_simp,factor_simp] {-} green(n2,n3)|green(n1,n2)|green(n5,n6)|green(n1,n4).
% 4.56/4.75  1059 [hyper,400,2,165,241,unit_del,5,factor_simp,factor_simp,factor_simp,factor_simp] {+} green(n2,n3)|green(n3,n5)|green(n5,n6).
% 4.56/4.75  1061 [hyper,1055,2,244,238,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n3,n4)|green(n5,n6)|green(n1,n5).
% 4.56/4.75  1062 [hyper,1055,2,94,222,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n3,n4)|green(n5,n6)|green(n3,n6).
% 4.56/4.75  1063 [hyper,1055,2,82,165,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n3,n4)|green(n5,n6)|green(n3,n5).
% 4.56/4.75  1065 [hyper,1055,2,205,222,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n2,n4)|green(n5,n6)|green(n2,n6).
% 4.56/4.75  1069 [hyper,1055,2,64,197,unit_del,5,factor_simp,factor_simp,factor_simp,factor_simp] {-} green(n2,n4)|green(n3,n4).
% 4.56/4.75  1070 [hyper,1069,2,378,348,unit_del,5,factor_simp,factor_simp] {+} green(n3,n4)|green(n1,n6)|green(n1,n3).
% 4.56/4.75  1071 [hyper,1069,2,373,311,unit_del,5,factor_simp,factor_simp] {+} green(n3,n4)|green(n1,n6)|green(n1,n5).
% 4.56/4.75  1072 [hyper,1069,2,161,140,unit_del,5,factor_simp,factor_simp] {+} green(n3,n4)|green(n1,n5)|green(n1,n3).
% 4.56/4.75  1073 [hyper,1069,2,340,365,unit_del,5,factor_simp,factor_simp] {+} green(n3,n4)|green(n1,n6)|green(n3,n6).
% 4.56/4.75  1083 [hyper,1058,2,160,377,unit_del,5,factor_simp,factor_simp,factor_simp,factor_simp] {-} green(n2,n3)|green(n1,n2)|green(n1,n4).
% 4.56/4.75  1088 [hyper,1053,2,309,341,unit_del,5,factor_simp,factor_simp,factor_simp,factor_simp] {+} green(n1,n6)|green(n5,n6).
% 4.56/4.75  1090 [hyper,1053,2,48,218,unit_del,5,factor_simp,factor_simp,factor_simp] {-} green(n3,n4)|green(n5,n6)|green(n2,n3).
% 4.56/4.75  1099 [hyper,1090,2,71,218,unit_del,5,factor_simp,factor_simp,factor_simp,factor_simp] {-} green(n3,n4)|green(n2,n3).
% 4.56/4.75  1104 [hyper,1099,2,38,1083,unit_del,5,factor_simp,factor_simp,factor_simp] {-} green(n2,n3)|green(n1,n2).
% 4.56/4.75  1120 [hyper,1088,2,1104,231,unit_del,5,factor_simp] {-} green(n5,n6)|green(n2,n3)|green(n2,n4).
% 4.56/4.75  1129 [hyper,1120,2,77,231,unit_del,5,factor_simp,factor_simp,factor_simp,factor_simp] {-} green(n2,n3)|green(n2,n4).
% 4.56/4.75  1136 [hyper,1129,2,1104,49,unit_del,5,factor_simp] {-} green(n2,n3)|green(n1,n5)|green(n4,n5).
% 4.56/4.75  1144 [hyper,1061,2,244,241,unit_del,5,factor_simp,factor_simp,factor_simp,factor_simp] {+} green(n5,n6)|green(n1,n5).
% 4.56/4.75  1150 [hyper,1062,2,42,1088,unit_del,5,factor_simp,factor_simp] {-} green(n3,n4)|green(n5,n6)|green(n1,n4).
% 4.56/4.75  1155 [hyper,1150,2,109,300,unit_del,5,factor_simp,factor_simp,factor_simp,factor_simp] {-} green(n3,n4)|green(n1,n4).
% 4.56/4.75  1157 [hyper,434,2,1129,149,unit_del,5,factor_simp,factor_simp] {-} green(n5,n6)|green(n1,n2)|green(n1,n3)|green(n2,n4).
% 4.56/4.75  1163 [hyper,1155,2,1104,43,unit_del,5,factor_simp,factor_simp] {-} green(n1,n4)|green(n1,n2).
% 4.56/4.75  1185 [hyper,1157,2,161,378,unit_del,5,factor_simp,factor_simp,factor_simp,factor_simp] {-} green(n1,n2)|green(n1,n3)|green(n2,n4).
% 4.56/4.75  1188 [hyper,1185,2,1069,1163,unit_del,5,factor_simp,factor_simp] {-} green(n1,n2)|green(n2,n4).
% 4.56/4.75  1205 [hyper,1065,2,1188,1088,unit_del,5,factor_simp,factor_simp] {-} green(n2,n4)|green(n5,n6).
% 4.56/4.75  1206 [hyper,1205,2,1059,1063,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n5,n6)|green(n3,n5).
% 4.56/4.75  1210 [hyper,1205,2,107,299,unit_del,5,factor_simp,factor_simp,factor_simp] {-} green(n2,n4)|green(n1,n4).
% 4.56/4.75  1230 [hyper,1071,2,345,311,unit_del,5,factor_simp,factor_simp,factor_simp,factor_simp] {+} green(n1,n6)|green(n1,n5).
% 4.56/4.75  1245 [hyper,1073,2,1155,47,unit_del,5,factor_simp,factor_simp,factor_simp] {+} green(n3,n4)|green(n3,n6).
% 4.56/4.75  1252 [hyper,1245,2,1104,1188,unit_del,5,factor_simp] {+} green(n3,n6)|green(n1,n2).
% 4.56/4.75  1257 [hyper,1245,2,1072,1230,unit_del,5,factor_simp,factor_simp] {+} green(n3,n4)|green(n1,n5).
% 4.56/4.75  1259 [hyper,1252,2,1104,359,unit_del,5,factor_simp,factor_simp] {+} green(n1,n2)|green(n2,n5).
% 4.56/4.75  1260 [hyper,1252,2,1104,61,unit_del,5,factor_simp,factor_simp] {+} green(n1,n2)|green(n1,n6).
% 4.56/4.75  1264 [hyper,1252,2,216,334,unit_del,5,factor_simp,factor_simp,factor_simp] {-} green(n3,n6)|green(n3,n5).
% 4.56/4.75  1275 [hyper,1259,2,55,1088,unit_del,5,factor_simp,factor_simp] {-} green(n2,n5)|green(n5,n6).
% 4.56/4.75  1276 [hyper,1259,2,1104,1206,unit_del,5,factor_simp] {-} green(n1,n2)|green(n5,n6).
% 4.56/4.75  1278 [hyper,577,2,1252,1230,unit_del,5,factor_simp,factor_simp] {-} green(n1,n5)|green(n4,n5)|green(n3,n6).
% 4.56/4.75  1279 [hyper,577,2,134,1144,unit_del,5,factor_simp,factor_simp,factor_simp] {-} green(n1,n5)|green(n4,n5)|green(n2,n6).
% 4.56/4.75  1280 [hyper,1276,2,1205,1155,unit_del,5,factor_simp] {-} green(n5,n6)|green(n3,n4).
% 4.56/4.75  1283 [hyper,1280,2,1257,1070,unit_del,5,factor_simp,factor_simp] {-} green(n3,n4)|green(n1,n3).
% 4.56/4.75  1284 [hyper,1283,2,1104,1188,unit_del,5,factor_simp] {-} green(n1,n3)|green(n1,n2).
% 4.56/4.75  1292 [hyper,1260,2,1284,1252,unit_del,5,factor_simp,factor_simp] {+} green(n1,n2).
% 4.56/4.75  1293 [hyper,1292,2,1099,1283,unit_del,5,factor_simp] {+} green(n3,n4).
% 4.56/4.75  1295 [hyper,1292,2,73,134,unit_del,5,factor_simp,factor_simp] {+} green(n3,n5)|green(n4,n5).
% 4.56/4.75  1297 [hyper,1264,2,50,1230,unit_del,5,factor_simp,factor_simp] {+} green(n3,n5)|green(n1,n5).
% 4.56/4.75  1299 [hyper,1264,2,60,1230,unit_del,5,factor_simp,factor_simp] {-} green(n3,n6)|green(n1,n6).
% 4.56/4.75  1300 [hyper,1275,2,1292,1144,unit_del,5,factor_simp] {+} green(n5,n6).
% 4.56/4.75  1309 [hyper,1136,2,1129,230,unit_del,5,factor_simp,factor_simp] {-} green(n2,n3)|green(n1,n5)|green(n2,n6).
% 4.56/4.75  1316 [hyper,1279,2,1136,1278,unit_del,5,factor_simp,factor_simp,factor_simp,factor_simp] {-} green(n1,n5)|green(n4,n5).
% 4.56/4.75  1337 [hyper,1309,2,1292,1230,unit_del,5,factor_simp] {-} green(n2,n3)|green(n1,n5).
% 4.56/4.75  1339 [hyper,1337,2,1292,45,unit_del,5,factor_simp] {-} green(n2,n3)|green(n3,n5).
% 4.56/4.75  1358 [hyper,1297,2,1293,1316,unit_del,5,factor_simp] {+} green(n1,n5).
% 4.56/4.75  1362 [hyper,1299,2,1358,1300,unit_del,5] {+} green(n3,n6).
% 4.56/4.75  1367 [hyper,1362,2,1295,1300,unit_del,5] {+} green(n4,n5).
% 4.56/4.75  1368 [hyper,1367,2,1210,1358,unit_del,5] {+} green(n2,n4).
% 4.56/4.75  1369 [hyper,1339,2,1293,1367,unit_del,5] {+} green(n2,n3).
% 4.56/4.75  1373 [hyper,1368,2,1369,1293] {-} goal.
% 4.56/4.75  1374 [binary,1373.1,5.1] {-} $F.
% 4.56/4.75  
% 4.56/4.75  % SZS output end Refutation
% 4.56/4.75  ------------ end of proof -------------
% 4.56/4.75  
% 4.56/4.75  
% 4.56/4.75  Search stopped by max_proofs option.
% 4.56/4.75  
% 4.56/4.75  
% 4.56/4.75  Search stopped by max_proofs option.
% 4.56/4.75  
% 4.56/4.75  ============ end of search ============
% 4.56/4.75  
% 4.56/4.75  ----------- soft-scott stats ----------
% 4.56/4.75  
% 4.56/4.75  true clauses given         135      (62.2%)
% 4.56/4.75  false clauses given         82
% 4.56/4.75  
% 4.56/4.75        FALSE     TRUE
% 4.56/4.75     6  7         4
% 4.56/4.75     9  1         0
% 4.56/4.75  tot:  8         4      (33.3% true)
% 4.56/4.75  
% 4.56/4.75  
% 4.56/4.75  Model 27 [ 6 1 8179 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  That finishes the proof of the theorem.
% 4.56/4.75  
% 4.56/4.75  Process 26881 finished Tue May 31 04:00:17 2022
%------------------------------------------------------------------------------