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SOS---2.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO220+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n014.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 06:19:20 EDT 2022

% Result   : Theorem 10.79s 11.00s
% Output   : Refutation 10.79s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : GEO220+3 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14  % Command  : sos-script %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Fri Jun 17 19:59:49 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.37  ----- Otter 3.2, August 2001 -----
% 0.13/0.37  The process was started by sandbox on n014.cluster.edu,
% 0.13/0.37  Fri Jun 17 19:59:49 2022
% 0.13/0.37  The command was "./sos".  The process ID is 2054.
% 0.13/0.37  
% 0.13/0.37  set(prolog_style_variables).
% 0.13/0.37  set(auto).
% 0.13/0.37     dependent: set(auto1).
% 0.13/0.37     dependent: set(process_input).
% 0.13/0.37     dependent: clear(print_kept).
% 0.13/0.37     dependent: clear(print_new_demod).
% 0.13/0.37     dependent: clear(print_back_demod).
% 0.13/0.37     dependent: clear(print_back_sub).
% 0.13/0.37     dependent: set(control_memory).
% 0.13/0.37     dependent: assign(max_mem, 12000).
% 0.13/0.37     dependent: assign(pick_given_ratio, 4).
% 0.13/0.37     dependent: assign(stats_level, 1).
% 0.13/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37     dependent: assign(sos_limit, 5000).
% 0.13/0.37     dependent: assign(max_weight, 60).
% 0.13/0.37  clear(print_given).
% 0.13/0.37  
% 0.13/0.37  formula_list(usable).
% 0.13/0.37  
% 0.13/0.37  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.13/0.37  
% 0.13/0.37  This ia a non-Horn set with equality.  The strategy will be
% 0.13/0.37  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.37  unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.37  clauses in usable.
% 0.13/0.37  
% 0.13/0.37     dependent: set(knuth_bendix).
% 0.13/0.37     dependent: set(para_from).
% 0.13/0.37     dependent: set(para_into).
% 0.13/0.37     dependent: clear(para_from_right).
% 0.13/0.37     dependent: clear(para_into_right).
% 0.13/0.37     dependent: set(para_from_vars).
% 0.13/0.37     dependent: set(eq_units_both_ways).
% 0.13/0.37     dependent: set(dynamic_demod_all).
% 0.13/0.37     dependent: set(dynamic_demod).
% 0.13/0.37     dependent: set(order_eq).
% 0.13/0.37     dependent: set(back_demod).
% 0.13/0.37     dependent: set(lrpo).
% 0.13/0.37     dependent: set(hyper_res).
% 0.13/0.37     dependent: set(unit_deletion).
% 0.13/0.37     dependent: set(factor).
% 0.13/0.37  
% 0.13/0.37  ------------> process usable:
% 0.13/0.37    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).
% 0.13/0.37    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).
% 0.13/0.37  28 back subsumes 27.
% 0.13/0.37  
% 0.13/0.37  ------------> process sos:
% 0.13/0.37    Following clause subsumed by 39 during input processing: 0 [] {-} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 0.13/0.37  
% 0.13/0.37  ======= end of input processing =======
% 0.13/0.41  
% 0.13/0.41  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.41  
% 0.13/0.41  Stopped by limit on number of solutions
% 0.13/0.41  
% 0.13/0.41  
% 0.13/0.41  -------------- Softie stats --------------
% 0.13/0.41  
% 0.13/0.41  UPDATE_STOP: 300
% 0.13/0.41  SFINDER_TIME_LIMIT: 2
% 0.13/0.41  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.41  number of clauses in intial UL: 37
% 0.13/0.41  number of clauses initially in problem: 45
% 0.13/0.41  percentage of clauses intially in UL: 82
% 0.13/0.41  percentage of distinct symbols occuring in initial UL: 94
% 0.13/0.41  percent of all initial clauses that are short: 100
% 0.13/0.41  absolute distinct symbol count: 19
% 0.13/0.41     distinct predicate count: 12
% 0.13/0.41     distinct function count: 4
% 0.13/0.41     distinct constant count: 3
% 0.13/0.41  
% 0.13/0.41  ---------- no more Softie stats ----------
% 0.13/0.41  
% 0.13/0.41  
% 0.13/0.41  
% 0.13/0.41  Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.41  
% 0.13/0.41  Stopped by limit on number of solutions
% 0.13/0.41  
% 0.13/0.41  =========== start of search ===========
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 3 [ 3 1 743 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Model 4 (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on number of solutions
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 5 [ 4 0 155 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Model 6 (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on number of solutions
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 7 [ 5 1 344 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Model 8 (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on number of solutions
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 9 [ 2 0 300 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 10 [ 2 1 1445 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 11 [ 15 0 805 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 12 [ 2 0 1002 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 13 [ 16 1 271 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 14 [ 18 1 559 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 15 [ 14 1 774 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 16 [ 15 0 158 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 17 [ 21 1 417 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 18 [ 16 1 715 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 19 [ 5 0 171 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 20 [ 28 0 6855 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 21 [ 28 0 373 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 22 [ 10 0 157 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 23 [ 16 1 173 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 24 [ 14 0 685 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 25 [ 29 0 490 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 26 [ 31 1 620 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 27 [ 44 0 849 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 28 [ 31 1 639 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 29 [ 24 1 1085 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 30 [ 19 0 201 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 31 [ 53 1 310 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 32 [ 37 0 842 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 33 [ 67 1 1139 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 34 [ 54 1 455 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 35 [ 56 1 448 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 36 [ 46 1 790 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 37 [ 36 1 247 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 38 [ 52 1 843 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 39 [ 25 0 151 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 40 [ 62 1 619 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 41 [ 32 1 739 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 42 [ 81 1 194 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 43 [ 41 0 692 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 44 [ 70 1 486 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 45 [ 72 1 835 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 46 [ 73 1 737 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 47 [ 76 0 430 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 48 [ 90 1 988 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/10.99  Model 49 [ 56 1 162 ] (0.00 seconds, 250000 Inserts)
% 10.79/10.99  
% 10.79/10.99  Stopped by limit on insertions
% 10.79/10.99  
% 10.79/11.00  Model 50 [ 127 1 309 ] (0.00 seconds, 2500
% 10.79/11.00  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 10.79/11.00  00 Inserts)
% 10.79/11.00  
% 10.79/11.00  ----> UNIT CONFLICT at  10.58 sec ----> 536 [binary,535.1,2.1] {-} $F.
% 10.79/11.00  
% 10.79/11.00  Length of proof is 6.  Level of proof is 4.
% 10.79/11.00  
% 10.79/11.00  ---------------- PROOF ----------------
% 10.79/11.00  % SZS status Theorem
% 10.79/11.00  % SZS output start Refutation
% 10.79/11.00  
% 10.79/11.00  2 [] {+} -distinct_lines(A,A).
% 10.79/11.00  28 [] {+} unorthogonal_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C).
% 10.79/11.00  37 [] {+} -orthogonal_lines(A,B)| -unorthogonal_lines(A,B).
% 10.79/11.00  38 [] {+} -parallel_lines($c2,$c1).
% 10.79/11.00  41 [] {+} equal_lines(A,B)|distinct_lines(A,B).
% 10.79/11.00  42 [] {+} parallel_lines(A,B)|convergent_lines(A,B).
% 10.79/11.00  45 [] {+} orthogonal_lines($c3,$c2).
% 10.79/11.00  46 [] {+} orthogonal_lines($c3,$c1).
% 10.79/11.00  86 [para_from,41.1.1,46.1.2] {+} orthogonal_lines($c3,A)|distinct_lines($c1,A).
% 10.79/11.00  88 [para_from,41.1.1,45.1.2] {+} orthogonal_lines($c3,A)|distinct_lines($c2,A).
% 10.79/11.00  103 [hyper,42,38] {+} convergent_lines($c2,$c1).
% 10.79/11.00  108 [hyper,103,28] {+} unorthogonal_lines(A,$c2)|unorthogonal_lines(A,$c1).
% 10.79/11.00  513 [hyper,108,37,86,unit_del,2] {+} unorthogonal_lines($c3,$c2).
% 10.79/11.00  535 [hyper,513,37,88] {-} distinct_lines($c2,$c2).
% 10.79/11.00  536 [binary,535.1,2.1] {-} $F.
% 10.79/11.00  
% 10.79/11.00  % SZS output end Refutation
% 10.79/11.00  ------------ end of proof -------------
% 10.79/11.00  
% 10.79/11.00  
% 10.79/11.00  Search stopped by max_proofs option.
% 10.79/11.00  
% 10.79/11.00  
% 10.79/11.00  Search stopped by max_proofs option.
% 10.79/11.00  
% 10.79/11.00  ============ end of search ============
% 10.79/11.00  
% 10.79/11.00  ----------- soft-scott stats ----------
% 10.79/11.00  
% 10.79/11.00  true clauses given           7      (11.3%)
% 10.79/11.00  false clauses given         55
% 10.79/11.00  
% 10.79/11.00        FALSE     TRUE
% 10.79/11.00     3  0         1
% 10.79/11.00     5  2         0
% 10.79/11.00     6  48        4
% 10.79/11.00     7  4         0
% 10.79/11.00     8  56        4
% 10.79/11.00     9  126       34
% 10.79/11.00    11  5         12
% 10.79/11.00    12  17        14
% 10.79/11.00    13  4         2
% 10.79/11.00    14  2         4
% 10.79/11.00    15  28        3
% 10.79/11.00    16  4         1
% 10.79/11.00    18  24        0
% 10.79/11.00    19  10        0
% 10.79/11.00    20  1         0
% 10.79/11.00  tot:  331       79      (19.3% true)
% 10.79/11.00  
% 10.79/11.00  
% 10.79/11.00  Model 50 [ 127 1 309 ] (0.00 seconds, 250000 Inserts)
% 10.79/11.00  
% 10.79/11.00  That finishes the proof of the theorem.
% 10.79/11.00  
% 10.79/11.00  Process 2054 finished Fri Jun 17 20:00:00 2022
%------------------------------------------------------------------------------