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SOS---2.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO180+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n020.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 06:18:47 EDT 2022

% Result   : Theorem 11.82s 11.99s
% Output   : Refutation 11.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO180+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 11:40:18 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  ----- Otter 3.2, August 2001 -----
% 0.13/0.36  The process was started by sandbox on n020.cluster.edu,
% 0.13/0.36  Sat Jun 18 11:40:18 2022
% 0.13/0.36  The command was "./sos".  The process ID is 19290.
% 0.13/0.36  
% 0.13/0.36  set(prolog_style_variables).
% 0.13/0.36  set(auto).
% 0.13/0.36     dependent: set(auto1).
% 0.13/0.36     dependent: set(process_input).
% 0.13/0.36     dependent: clear(print_kept).
% 0.13/0.36     dependent: clear(print_new_demod).
% 0.13/0.36     dependent: clear(print_back_demod).
% 0.13/0.36     dependent: clear(print_back_sub).
% 0.13/0.36     dependent: set(control_memory).
% 0.13/0.36     dependent: assign(max_mem, 12000).
% 0.13/0.36     dependent: assign(pick_given_ratio, 4).
% 0.13/0.36     dependent: assign(stats_level, 1).
% 0.13/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36     dependent: assign(sos_limit, 5000).
% 0.13/0.36     dependent: assign(max_weight, 60).
% 0.13/0.36  clear(print_given).
% 0.13/0.36  
% 0.13/0.36  formula_list(usable).
% 0.13/0.36  
% 0.13/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.13/0.36  
% 0.13/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.13/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.36  clauses in usable.
% 0.13/0.36  
% 0.13/0.36     dependent: set(knuth_bendix).
% 0.13/0.36     dependent: set(para_from).
% 0.13/0.36     dependent: set(para_into).
% 0.13/0.36     dependent: clear(para_from_right).
% 0.13/0.36     dependent: clear(para_into_right).
% 0.13/0.36     dependent: set(para_from_vars).
% 0.13/0.36     dependent: set(eq_units_both_ways).
% 0.13/0.36     dependent: set(dynamic_demod_all).
% 0.13/0.36     dependent: set(dynamic_demod).
% 0.13/0.36     dependent: set(order_eq).
% 0.13/0.36     dependent: set(back_demod).
% 0.13/0.36     dependent: set(lrpo).
% 0.13/0.36     dependent: set(hyper_res).
% 0.13/0.36     dependent: set(unit_deletion).
% 0.13/0.36     dependent: set(factor).
% 0.13/0.36  
% 0.13/0.36  ------------> process usable:
% 0.13/0.36    Following clause subsumed by 15 during input processing: 0 [] {-} -distinct_lines(A,B)|apart_point_and_line(C,A)|apart_point_and_line(C,B)|convergent_lines(A,B).
% 0.13/0.36    Following clause subsumed by 6 during input processing: 0 [] {-} -convergent_lines(A,B)| -unorthogonal_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 0.13/0.36  28 back subsumes 27.
% 0.13/0.36  
% 0.13/0.36  ------------> process sos:
% 0.13/0.36    Following clause subsumed by 39 during input processing: 0 [] {-} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 0.13/0.36  
% 0.13/0.36  ======= end of input processing =======
% 0.13/0.40  
% 0.13/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.40  
% 0.13/0.40  Stopped by limit on number of solutions
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  -------------- Softie stats --------------
% 0.13/0.40  
% 0.13/0.40  UPDATE_STOP: 300
% 0.13/0.40  SFINDER_TIME_LIMIT: 2
% 0.13/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.40  number of clauses in intial UL: 37
% 0.13/0.40  number of clauses initially in problem: 45
% 0.13/0.40  percentage of clauses intially in UL: 82
% 0.13/0.40  percentage of distinct symbols occuring in initial UL: 100
% 0.13/0.40  percent of all initial clauses that are short: 100
% 0.13/0.40  absolute distinct symbol count: 19
% 0.13/0.40     distinct predicate count: 12
% 0.13/0.40     distinct function count: 4
% 0.13/0.40     distinct constant count: 3
% 0.13/0.40  
% 0.13/0.40  ---------- no more Softie stats ----------
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.40  
% 0.13/0.40  Stopped by limit on number of solutions
% 0.13/0.40  
% 0.13/0.40  =========== start of search ===========
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 3 [ 3 0 309 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 4 [ 1 0 764 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 5 [ 12 1 566 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 6 [ 12 1 803 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 7 [ 1 0 352 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 8 [ 13 1 225 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 9 [ 12 1 188 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 10 [ 3 0 605 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 11 [ 14 1 159 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 12 [ 16 1 585 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 13 [ 15 0 169 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 14 [ 15 1 154 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 15 [ 18 1 565 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 16 [ 21 1 485 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 17 [ 16 0 167 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 18 [ 23 0 683 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 19 [ 15 0 973 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 20 [ 51 1 253 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 21 [ 53 1 403 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 22 [ 49 0 430 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 23 [ 93 0 571 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 24 [ 62 1 307 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 25 [ 85 1 158 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 26 [ 127 1 151 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 27 [ 109 0 277 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 28 [ 105 0 421 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 29 [ 74 0 947 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 30 [ 133 1 153 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 31 [ 73 1 918 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 32 [ 161 1 910 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 33 [ 80 1 1353 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 34 [ 146 1 712 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 35 [ 171 1 859 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 36 [ 159 1 538 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 37 [ 241 1 646 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 38 [ 134 1 977 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 39 [ 222 1 670 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 40 [ 188 1 151 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 41 [ 149 0 186 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 42 [ 145 1 446 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 43 [ 282 0 585 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 44 [ 227 0 151 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 45 [ 191 0 746 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 46 [ 211 1 745 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 47 [ 486 1 1604 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 48 [ 362 0 428 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.65/11.84  Model 49 [ 329 1 2181 ] (0.00 seconds, 250000 Inserts)
% 11.65/11.84  
% 11.65/11.84  Stopped by limit on insertions
% 11.65/11.84  
% 11.82/11.99  Model 50
% 11.82/11.99  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 11.82/11.99   [ 233 0 154 ] (0.00 seconds, 250000 Inserts)
% 11.82/11.99  
% 11.82/11.99  ----> UNIT CONFLICT at  11.59 sec ----> 2471 [binary,2470.1,16.1] {-} $F.
% 11.82/11.99  
% 11.82/11.99  Length of proof is 3.  Level of proof is 3.
% 11.82/11.99  
% 11.82/11.99  ---------------- PROOF ----------------
% 11.82/11.99  % SZS status Theorem
% 11.82/11.99  % SZS output start Refutation
% 11.82/11.99  
% 11.82/11.99  15 [] {+} -distinct_lines(A,B)|convergent_lines(A,B).
% 11.82/11.99  16 [] {+} -convergent_lines(parallel_through_point(A,B),A).
% 11.82/11.99  17 [] {+} -apart_point_and_line(A,parallel_through_point(B,A)).
% 11.82/11.99  41 [] {+} equal_lines(A,B)|distinct_lines(A,B).
% 11.82/11.99  46 [] {-} apart_point_and_line($c1,line_connecting($c3,$c2)).
% 11.82/11.99  88 [para_from,41.1.1,17.1.2] {+} -apart_point_and_line(A,B)|distinct_lines(parallel_through_point(C,A),B).
% 11.82/11.99  2466 [hyper,88,46] {-} distinct_lines(parallel_through_point(A,$c1),line_connecting($c3,$c2)).
% 11.82/11.99  2470 [hyper,2466,15] {-} convergent_lines(parallel_through_point(A,$c1),line_connecting($c3,$c2)).
% 11.82/11.99  2471 [binary,2470.1,16.1] {-} $F.
% 11.82/11.99  
% 11.82/11.99  % SZS output end Refutation
% 11.82/11.99  ------------ end of proof -------------
% 11.82/11.99  
% 11.82/11.99  
% 11.82/11.99  Search stopped by max_proofs option.
% 11.82/11.99  
% 11.82/11.99  
% 11.82/11.99  Search stopped by max_proofs option.
% 11.82/11.99  
% 11.82/11.99  ============ end of search ============
% 11.82/11.99  
% 11.82/11.99  ----------- soft-scott stats ----------
% 11.82/11.99  
% 11.82/11.99  true clauses given          37      (26.1%)
% 11.82/11.99  false clauses given        105
% 11.82/11.99  
% 11.82/11.99        FALSE     TRUE
% 11.82/11.99     5  0         1
% 11.82/11.99     8  31        36
% 11.82/11.99     9  81        77
% 11.82/11.99    10  133       53
% 11.82/11.99    11  158       100
% 11.82/11.99    12  24        46
% 11.82/11.99    13  1         38
% 11.82/11.99    14  5         49
% 11.82/11.99    15  47        71
% 11.82/11.99    16  21        44
% 11.82/11.99    17  20        59
% 11.82/11.99    18  122       52
% 11.82/11.99    19  103       66
% 11.82/11.99    20  133       1
% 11.82/11.99    21  41        4
% 11.82/11.99    22  148       0
% 11.82/11.99    23  130       0
% 11.82/11.99    24  88        0
% 11.82/11.99    25  63        4
% 11.82/11.99    26  30        0
% 11.82/11.99    27  52        1
% 11.82/11.99    28  17        0
% 11.82/11.99    29  7         0
% 11.82/11.99    32  1         0
% 11.82/11.99  tot:  1456      702      (32.5% true)
% 11.82/11.99  
% 11.82/11.99  
% 11.82/11.99  Model 50 [ 233 0 154 ] (0.00 seconds, 250000 Inserts)
% 11.82/11.99  
% 11.82/11.99  That finishes the proof of the theorem.
% 11.82/11.99  
% 11.82/11.99  Process 19290 finished Sat Jun 18 11:40:30 2022
%------------------------------------------------------------------------------