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SOS---2.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO198+1 : TPTP v8.1.0. Released v3.3.0.
% 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 06:19:02 EDT 2022

% Result   : Theorem 73.41s 73.59s
% Output   : Refutation 73.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GEO198+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Sat Jun 18 18:59:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.35  ----- Otter 3.2, August 2001 -----
% 0.12/0.35  The process was started by sandbox on n025.cluster.edu,
% 0.12/0.35  Sat Jun 18 18:59:58 2022
% 0.12/0.35  The command was "./sos".  The process ID is 12542.
% 0.12/0.35  
% 0.12/0.35  set(prolog_style_variables).
% 0.12/0.35  set(auto).
% 0.12/0.35     dependent: set(auto1).
% 0.12/0.35     dependent: set(process_input).
% 0.12/0.35     dependent: clear(print_kept).
% 0.12/0.35     dependent: clear(print_new_demod).
% 0.12/0.35     dependent: clear(print_back_demod).
% 0.12/0.35     dependent: clear(print_back_sub).
% 0.12/0.35     dependent: set(control_memory).
% 0.12/0.35     dependent: assign(max_mem, 12000).
% 0.12/0.35     dependent: assign(pick_given_ratio, 4).
% 0.12/0.35     dependent: assign(stats_level, 1).
% 0.12/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35     dependent: assign(sos_limit, 5000).
% 0.12/0.35     dependent: assign(max_weight, 60).
% 0.12/0.35  clear(print_given).
% 0.12/0.35  
% 0.12/0.35  formula_list(usable).
% 0.12/0.35  
% 0.12/0.35  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 0.12/0.35  
% 0.12/0.35  This is a non-Horn set without equality.  The strategy
% 0.12/0.35  will be ordered hyper_res, ur_res, unit deletion, and
% 0.12/0.35  factoring, with satellites in sos and nuclei in usable.
% 0.12/0.35  
% 0.12/0.35     dependent: set(hyper_res).
% 0.12/0.35     dependent: set(factor).
% 0.12/0.35     dependent: set(unit_deletion).
% 0.12/0.35  
% 0.12/0.35  ------------> process usable:
% 0.12/0.35  
% 0.12/0.35  ------------> process sos:
% 0.12/0.35  
% 0.12/0.35  ======= end of input processing =======
% 0.12/0.38  
% 0.12/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.38  
% 0.12/0.38  Stopped by limit on number of solutions
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  -------------- Softie stats --------------
% 0.12/0.38  
% 0.12/0.38  UPDATE_STOP: 300
% 0.12/0.38  SFINDER_TIME_LIMIT: 2
% 0.12/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.38  number of clauses in intial UL: 15
% 0.12/0.38  number of clauses initially in problem: 19
% 0.12/0.38  percentage of clauses intially in UL: 78
% 0.12/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.38  percent of all initial clauses that are short: 100
% 0.12/0.38  absolute distinct symbol count: 9
% 0.12/0.38     distinct predicate count: 4
% 0.12/0.38     distinct function count: 2
% 0.12/0.38     distinct constant count: 3
% 0.12/0.38  
% 0.12/0.38  ---------- no more Softie stats ----------
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.38  
% 0.12/0.38  Stopped by limit on number of solutions
% 0.12/0.38  
% 0.12/0.38  =========== start of search ===========
% 73.41/73.59  
% 73.41/73.59  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 73.41/73.59  
% 73.41/73.59  Model 3 (0.00 seconds, 0 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on number of solutions
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 4 [ 1 1 89 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 5 [ 1 0 63 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 6 [ 1 1 155 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 7 [ 2 0 121 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 8 [ 2 0 107 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 9 [ 2 1 126 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 10 [ 3 1 63 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 11 [ 3 1 72 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 12 [ 3 0 117 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 13 [ 4 0 124 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 14 [ 4 0 72 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 15 [ 4 0 3848 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 16 [ 5 1 125 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 17 [ 30 1 81 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 18 [ 5 1 123 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 19 [ 6 1 75 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 20 [ 35 0 374 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 21 [ 36 0 79 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 22 [ 36 0 63 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 23 [ 7 1 96 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 24 [ 7 0 68 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 25 [ 8 1 70 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 26 [ 42 1 82 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 27 [ 8 0 164 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 28 [ 9 1 152 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 29 [ 9 0 90 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 30 [ 10 0 67 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 31 [ 10 0 75 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 32 [ 12 0 119 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 33 [ 11 0 121 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 34 [ 12 0 130 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 35 [ 12 1 78 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 36 [ 55 1 112 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 37 [ 13 1 93 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 38 [ 11 0 67 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 39 [ 13 1 63 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 40 [ 14 1 113 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 41 [ 62 0 63 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 42 [ 15 1 123 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 43 [ 15 1 126 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  Model 44 [ 16 1 128 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  Stopped by limit on insertions
% 73.41/73.59  
% 73.41/73.59  ----> UNIT CONFLICT at  73.20 sec ----> 3378 [binary,3377.1,3.1] {-} $F.
% 73.41/73.59  
% 73.41/73.59  Length of proof is 22.  Level of proof is 10.
% 73.41/73.59  
% 73.41/73.59  ---------------- PROOF ----------------
% 73.41/73.59  % SZS status Theorem
% 73.41/73.59  % SZS output start Refutation
% 73.41/73.59  
% 73.41/73.59  3 [] {+} -convergent_lines(A,A).
% 73.41/73.59  6 [] {+} -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 73.41/73.59  9 [] {+} -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),A).
% 73.41/73.59  10 [] {+} -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),B).
% 73.41/73.59  11 [] {+} -distinct_points(A,B)| -distinct_lines(C,D)|apart_point_and_line(A,C)|apart_point_and_line(A,D)|apart_point_and_line(B,C)|apart_point_and_line(B,D).
% 73.41/73.59  12 [] {+} -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 73.41/73.59  14 [] {+} -convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C).
% 73.41/73.59  15 [] {+} -apart_point_and_line(intersection_point($c3,$c2),$c1).
% 73.41/73.59  16 [] {+} convergent_lines($c3,$c2).
% 73.41/73.59  18 [] {+} convergent_lines($c3,$c1).
% 73.41/73.59  19 [] {-} apart_point_and_line(intersection_point($c3,$c1),$c2).
% 73.41/73.59  21 [hyper,16,6] {+} convergent_lines($c3,A)|convergent_lines($c2,A).
% 73.41/73.59  23 [hyper,18,6] {+} convergent_lines($c3,A)|convergent_lines($c1,A).
% 73.41/73.59  27 [hyper,19,12] {-} distinct_points(intersection_point($c3,$c1),A)|apart_point_and_line(A,$c2).
% 73.41/73.59  32 [hyper,21,6] {-} convergent_lines($c2,A)|convergent_lines($c3,B)|convergent_lines(A,B).
% 73.41/73.59  43 [hyper,23,6] {-} convergent_lines($c1,A)|convergent_lines($c3,B)|convergent_lines(A,B).
% 73.41/73.59  72 [hyper,32,3] {-} convergent_lines($c2,A)|convergent_lines(A,$c3).
% 73.41/73.59  77 [hyper,72,6] {-} convergent_lines(A,$c3)|convergent_lines($c2,B)|convergent_lines(A,B).
% 73.41/73.59  118 [hyper,43,3] {+} convergent_lines($c1,A)|convergent_lines(A,$c3).
% 73.41/73.59  120 [hyper,43,6] {-} convergent_lines($c1,A)|convergent_lines($c3,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 73.41/73.59  124 [hyper,118,14] {-} convergent_lines($c1,A)|distinct_lines($c3,B)|convergent_lines(A,B).
% 73.41/73.59  125 [factor,124.1.3,unit_del,3] {+} distinct_lines($c3,$c1).
% 73.41/73.59  128 [hyper,125,11,27] {-} apart_point_and_line(intersection_point($c3,$c1),$c3)|apart_point_and_line(intersection_point($c3,$c1),$c1)|apart_point_and_line(A,$c3)|apart_point_and_line(A,$c1)|apart_point_and_line(A,$c2).
% 73.41/73.59  153 [hyper,77,6] {-} convergent_lines(A,$c3)|convergent_lines(A,B)|convergent_lines($c2,C)|convergent_lines(B,C).
% 73.41/73.59  154 [hyper,77,3] {+} convergent_lines(A,$c3)|convergent_lines(A,$c2).
% 73.41/73.59  624 [hyper,120,6] {+} convergent_lines($c1,A)|convergent_lines($c3,B)|convergent_lines(B,C)|convergent_lines(A,D)|convergent_lines(C,D).
% 73.41/73.59  627 [factor,624.1.4,unit_del,3] {-} convergent_lines($c3,A)|convergent_lines(A,B)|convergent_lines(B,$c1).
% 73.41/73.59  734 [hyper,128,9,627,unit_del,3,3] {-} apart_point_and_line(intersection_point($c3,$c1),$c1)|apart_point_and_line(A,$c3)|apart_point_and_line(A,$c1)|apart_point_and_line(A,$c2).
% 73.41/73.59  881 [hyper,153,3] {-} convergent_lines(A,$c3)|convergent_lines(A,B)|convergent_lines(B,$c2).
% 73.41/73.59  887 [hyper,881,6] {-} convergent_lines(A,$c3)|convergent_lines(B,$c2)|convergent_lines(A,C)|convergent_lines(B,C).
% 73.41/73.59  3006 [hyper,734,10,627,unit_del,3,3] {-} apart_point_and_line(A,$c3)|apart_point_and_line(A,$c1)|apart_point_and_line(A,$c2).
% 73.41/73.59  3240 [hyper,3006,9,154,unit_del,15,3] {-} apart_point_and_line(intersection_point($c3,$c2),$c2).
% 73.41/73.59  3377 [hyper,3240,10,887,unit_del,3,factor_simp] {-} convergent_lines(A,$c2).
% 73.41/73.59  3378 [binary,3377.1,3.1] {-} $F.
% 73.41/73.59  
% 73.41/73.59  % SZS output end Refutation
% 73.41/73.59  ------------ end of proof -------------
% 73.41/73.59  
% 73.41/73.59  
% 73.41/73.59  Search stopped by max_proofs option.
% 73.41/73.59  
% 73.41/73.59  
% 73.41/73.59  Search stopped by max_proofs option.
% 73.41/73.59  
% 73.41/73.59  ============ end of search ============
% 73.41/73.59  
% 73.41/73.59  ----------- soft-scott stats ----------
% 73.41/73.59  
% 73.41/73.59  true clauses given          47      (15.4%)
% 73.41/73.59  false clauses given        258
% 73.41/73.59  
% 73.41/73.59        FALSE     TRUE
% 73.41/73.59     5  1         0
% 73.41/73.59     9  0         2
% 73.41/73.59    10  8         0
% 73.41/73.59    12  6         83
% 73.41/73.59    13  24        0
% 73.41/73.59    14  4         0
% 73.41/73.59    15  158       71
% 73.41/73.59    16  40        0
% 73.41/73.59    17  8         0
% 73.41/73.59    19  38        0
% 73.41/73.59    22  7         0
% 73.41/73.59    23  29        0
% 73.41/73.59    25  70        0
% 73.41/73.59    26  190       0
% 73.41/73.59    28  234       0
% 73.41/73.59    29  435       0
% 73.41/73.59    31  268       0
% 73.41/73.59    32  329       0
% 73.41/73.59    33  10        0
% 73.41/73.59    34  178       0
% 73.41/73.59    36  27        0
% 73.41/73.59    37  56        0
% 73.41/73.59    39  32        0
% 73.41/73.59    40  71        1
% 73.41/73.59    42  26        0
% 73.41/73.59    43  101       0
% 73.41/73.59    45  14        0
% 73.41/73.59    46  84        0
% 73.41/73.59    48  3         0
% 73.41/73.59    51  1         0
% 73.41/73.59    53  2         0
% 73.41/73.59    54  1         0
% 73.41/73.59    59  2         0
% 73.41/73.59  tot:  2457      157      (6.0% true)
% 73.41/73.59  
% 73.41/73.59  
% 73.41/73.59  Model 44 [ 16 -6239 128 ] (0.00 seconds, 250000 Inserts)
% 73.41/73.59  
% 73.41/73.59  That finishes the proof of the theorem.
% 73.41/73.59  
% 73.41/73.59  Process 12542 finished Sat Jun 18 19:01:11 2022
%------------------------------------------------------------------------------