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SOS---2.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO194+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n022.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 06:18:59 EDT 2022

% Result   : Theorem 36.64s 36.83s
% Output   : Refutation 36.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO194+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jun 18 11:29:47 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.36  ----- Otter 3.2, August 2001 -----
% 0.14/0.36  The process was started by sandbox on n022.cluster.edu,
% 0.14/0.36  Sat Jun 18 11:29:47 2022
% 0.14/0.36  The command was "./sos".  The process ID is 2921.
% 0.14/0.36  
% 0.14/0.36  set(prolog_style_variables).
% 0.14/0.36  set(auto).
% 0.14/0.36     dependent: set(auto1).
% 0.14/0.36     dependent: set(process_input).
% 0.14/0.36     dependent: clear(print_kept).
% 0.14/0.36     dependent: clear(print_new_demod).
% 0.14/0.36     dependent: clear(print_back_demod).
% 0.14/0.36     dependent: clear(print_back_sub).
% 0.14/0.36     dependent: set(control_memory).
% 0.14/0.36     dependent: assign(max_mem, 12000).
% 0.14/0.36     dependent: assign(pick_given_ratio, 4).
% 0.14/0.36     dependent: assign(stats_level, 1).
% 0.14/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.36     dependent: assign(sos_limit, 5000).
% 0.14/0.36     dependent: assign(max_weight, 60).
% 0.14/0.36  clear(print_given).
% 0.14/0.36  
% 0.14/0.36  formula_list(usable).
% 0.14/0.36  
% 0.14/0.36  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 0.14/0.36  
% 0.14/0.36  This is a non-Horn set without equality.  The strategy
% 0.14/0.36  will be ordered hyper_res, ur_res, unit deletion, and
% 0.14/0.36  factoring, with satellites in sos and nuclei in usable.
% 0.14/0.36  
% 0.14/0.36     dependent: set(hyper_res).
% 0.14/0.36     dependent: set(factor).
% 0.14/0.36     dependent: set(unit_deletion).
% 0.14/0.36  
% 0.14/0.36  ------------> process usable:
% 0.14/0.36  
% 0.14/0.36  ------------> process sos:
% 0.14/0.36  
% 0.14/0.36  ======= end of input processing =======
% 0.20/0.38  
% 0.20/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.38  
% 0.20/0.38  Stopped by limit on number of solutions
% 0.20/0.38  
% 0.20/0.38  
% 0.20/0.38  -------------- Softie stats --------------
% 0.20/0.38  
% 0.20/0.38  UPDATE_STOP: 300
% 0.20/0.38  SFINDER_TIME_LIMIT: 2
% 0.20/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.38  number of clauses in intial UL: 15
% 0.20/0.38  number of clauses initially in problem: 19
% 0.20/0.38  percentage of clauses intially in UL: 78
% 0.20/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.38  percent of all initial clauses that are short: 100
% 0.20/0.38  absolute distinct symbol count: 9
% 0.20/0.38     distinct predicate count: 4
% 0.20/0.38     distinct function count: 2
% 0.20/0.38     distinct constant count: 3
% 0.20/0.38  
% 0.20/0.38  ---------- no more Softie stats ----------
% 0.20/0.38  
% 0.20/0.38  
% 0.20/0.38  
% 0.20/0.38  =========== start of search ===========
% 36.64/36.83  
% 36.64/36.83  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 36.64/36.83  
% 36.64/36.83  Model 2 (0.00 seconds, 0 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on number of solutions
% 36.64/36.83  
% 36.64/36.83  Model 3 (0.00 seconds, 0 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on number of solutions
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 4 [ 1 1 112 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 5 [ 1 0 164 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 6 [ 1 0 63 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 7 [ 2 0 126 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 8 [ 2 1 132 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 9 [ 3 0 163 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 10 [ 3 1 63 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 11 [ 3 0 69 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 12 [ 4 1 116 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 13 [ 4 1 135 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 14 [ 5 1 122 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 15 [ 5 0 73 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 16 [ 5 0 436 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 17 [ 6 0 120 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 18 [ 6 1 77 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 19 [ 6 1 92 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 20 [ 7 0 123 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 21 [ 7 0 63 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 22 [ 38 1 64 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 23 [ 7 0 71 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 24 [ 8 1 70 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 25 [ 8 0 79 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 26 [ 9 0 117 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 27 [ 9 0 126 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 28 [ 9 1 71 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 29 [ 10 0 83 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 30 [ 10 1 588 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 31 [ 10 0 99 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 32 [ 57 1 79 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 33 [ 11 1 170 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 34 [ 12 1 71 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 35 [ 44 0 83 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 36 [ 12 0 119 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 37 [ 13 1 63 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 38 [ 13 0 63 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 39 [ 13 0 75 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 40 [ 12 1 121 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  Stopped by limit on insertions
% 36.64/36.83  
% 36.64/36.83  Model 41 [ 49 1 63 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  -----> EMPTY CLAUSE at  36.44 sec ----> 3077 [hyper,2894,10,926,unit_del,3,3] {-} $F.
% 36.64/36.83  
% 36.64/36.83  Length of proof is 22.  Level of proof is 9.
% 36.64/36.83  
% 36.64/36.83  ---------------- PROOF ----------------
% 36.64/36.83  % SZS status Theorem
% 36.64/36.83  % SZS output start Refutation
% 36.64/36.83  
% 36.64/36.83  3 [] {+} -convergent_lines(A,A).
% 36.64/36.83  6 [] {+} -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 36.64/36.83  9 [] {+} -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),A).
% 36.64/36.83  10 [] {+} -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),B).
% 36.64/36.83  11 [] {+} -distinct_points(A,B)| -distinct_lines(C,D)|apart_point_and_line(A,C)|apart_point_and_line(A,D)|apart_point_and_line(B,C)|apart_point_and_line(B,D).
% 36.64/36.83  12 [] {+} -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 36.64/36.83  14 [] {+} -convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C).
% 36.64/36.83  15 [] {+} -apart_point_and_line(intersection_point($c3,$c1),$c2).
% 36.64/36.83  16 [] {+} convergent_lines($c3,$c2).
% 36.64/36.83  18 [] {+} convergent_lines($c3,$c1).
% 36.64/36.83  19 [] {-} apart_point_and_line(intersection_point($c3,$c2),$c1).
% 36.64/36.83  21 [hyper,16,6] {+} convergent_lines($c3,A)|convergent_lines($c2,A).
% 36.64/36.83  23 [hyper,18,6] {+} convergent_lines($c3,A)|convergent_lines($c1,A).
% 36.64/36.83  25 [hyper,19,12] {-} distinct_points(intersection_point($c3,$c2),A)|apart_point_and_line(A,$c1).
% 36.64/36.83  30 [hyper,21,6] {-} convergent_lines($c2,A)|convergent_lines($c3,B)|convergent_lines(A,B).
% 36.64/36.83  43 [hyper,23,6] {-} convergent_lines($c1,A)|convergent_lines($c3,B)|convergent_lines(A,B).
% 36.64/36.83  69 [hyper,30,3] {-} convergent_lines($c2,A)|convergent_lines(A,$c3).
% 36.64/36.83  74 [hyper,69,6] {-} convergent_lines(A,$c3)|convergent_lines($c2,B)|convergent_lines(A,B).
% 36.64/36.83  75 [hyper,69,14] {-} convergent_lines($c2,A)|distinct_lines($c3,B)|convergent_lines(A,B).
% 36.64/36.83  76 [factor,75.1.3,unit_del,3] {+} distinct_lines($c3,$c2).
% 36.64/36.83  77 [hyper,76,11,25] {-} apart_point_and_line(intersection_point($c3,$c2),$c3)|apart_point_and_line(intersection_point($c3,$c2),$c2)|apart_point_and_line(A,$c3)|apart_point_and_line(A,$c2)|apart_point_and_line(A,$c1).
% 36.64/36.83  120 [hyper,43,3] {+} convergent_lines($c1,A)|convergent_lines(A,$c3).
% 36.64/36.83  122 [hyper,43,6] {+} convergent_lines($c1,A)|convergent_lines($c3,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 36.64/36.83  130 [hyper,120,6] {-} convergent_lines(A,$c3)|convergent_lines($c1,B)|convergent_lines(A,B).
% 36.64/36.83  143 [hyper,74,6] {-} convergent_lines(A,$c3)|convergent_lines(A,B)|convergent_lines($c2,C)|convergent_lines(B,C).
% 36.64/36.83  144 [hyper,74,3] {+} convergent_lines(A,$c3)|convergent_lines(A,$c2).
% 36.64/36.83  230 [hyper,130,3] {+} convergent_lines(A,$c3)|convergent_lines(A,$c1).
% 36.64/36.83  492 [hyper,77,9,144,unit_del,3] {-} apart_point_and_line(intersection_point($c3,$c2),$c2)|apart_point_and_line(A,$c3)|apart_point_and_line(A,$c2)|apart_point_and_line(A,$c1).
% 36.64/36.83  835 [hyper,143,3] {-} convergent_lines(A,$c3)|convergent_lines(A,B)|convergent_lines(B,$c2).
% 36.64/36.83  923 [hyper,122,6] {-} convergent_lines($c1,A)|convergent_lines($c3,B)|convergent_lines(B,C)|convergent_lines(A,D)|convergent_lines(C,D).
% 36.64/36.83  926 [factor,923.1.4,unit_del,3] {+} convergent_lines($c3,A)|convergent_lines(A,B)|convergent_lines(B,$c1).
% 36.64/36.83  2677 [hyper,492,10,835,unit_del,3,3] {-} apart_point_and_line(A,$c3)|apart_point_and_line(A,$c2)|apart_point_and_line(A,$c1).
% 36.64/36.83  2894 [hyper,2677,9,230,unit_del,15,3] {+} apart_point_and_line(intersection_point($c3,$c1),$c1).
% 36.64/36.83  3077 [hyper,2894,10,926,unit_del,3,3] {-} $F.
% 36.64/36.83  
% 36.64/36.83  % SZS output end Refutation
% 36.64/36.83  ------------ end of proof -------------
% 36.64/36.83  
% 36.64/36.83  
% 36.64/36.83  Search stopped by max_proofs option.
% 36.64/36.83  
% 36.64/36.83  
% 36.64/36.83  Search stopped by max_proofs option.
% 36.64/36.83  
% 36.64/36.83  ============ end of search ============
% 36.64/36.83  
% 36.64/36.83  ----------- soft-scott stats ----------
% 36.64/36.83  
% 36.64/36.83  true clauses given          58      (20.2%)
% 36.64/36.83  false clauses given        229
% 36.64/36.83  
% 36.64/36.83        FALSE     TRUE
% 36.64/36.83     5  0         1
% 36.64/36.83     9  1         0
% 36.64/36.83    10  0         8
% 36.64/36.83    12  67        30
% 36.64/36.83    13  0         24
% 36.64/36.83    14  0         4
% 36.64/36.83    15  203       0
% 36.64/36.83    16  0         40
% 36.64/36.83    17  0         8
% 36.64/36.83    18  4         0
% 36.64/36.83    19  0         38
% 36.64/36.83    22  0         7
% 36.64/36.83    23  0         29
% 36.64/36.83    25  0         77
% 36.64/36.83    26  0         188
% 36.64/36.83    28  0         247
% 36.64/36.83    29  0         409
% 36.64/36.83    31  0         315
% 36.64/36.83    32  0         301
% 36.64/36.83    33  0         11
% 36.64/36.83    34  0         199
% 36.64/36.83    35  0         12
% 36.64/36.83    36  0         35
% 36.64/36.83    37  0         8
% 36.64/36.83    39  0         54
% 36.64/36.83    42  0         52
% 36.64/36.83    44  0         5
% 36.64/36.83    45  0         38
% 36.64/36.83    47  0         8
% 36.64/36.83    48  0         12
% 36.64/36.83    50  0         4
% 36.64/36.83  tot:  275       2164      (88.7% true)
% 36.64/36.83  
% 36.64/36.83  
% 36.64/36.83  Model 41 [ 49 1 63 ] (0.00 seconds, 250000 Inserts)
% 36.64/36.83  
% 36.64/36.83  That finishes the proof of the theorem.
% 36.64/36.83  
% 36.64/36.83  Process 2921 finished Sat Jun 18 11:30:23 2022
%------------------------------------------------------------------------------