TSTP Solution File: GEO182+3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO182+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n008.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 06:18:49 EDT 2022

% Result   : Theorem 17.05s 17.26s
% Output   : Refutation 17.05s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO182+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n008.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 03:44:07 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 n008.cluster.edu,
% 0.12/0.35  Sat Jun 18 03:44:07 2022
% 0.12/0.35  The command was "./sos".  The process ID is 31408.
% 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=1, symmetry=0, max_lits=6.
% 0.12/0.35  
% 0.12/0.35  This ia a non-Horn set with equality.  The strategy will be
% 0.12/0.35  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.35  unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.35  clauses in usable.
% 0.12/0.35  
% 0.12/0.35     dependent: set(knuth_bendix).
% 0.12/0.35     dependent: set(para_from).
% 0.12/0.35     dependent: set(para_into).
% 0.12/0.35     dependent: clear(para_from_right).
% 0.12/0.35     dependent: clear(para_into_right).
% 0.12/0.35     dependent: set(para_from_vars).
% 0.12/0.35     dependent: set(eq_units_both_ways).
% 0.12/0.35     dependent: set(dynamic_demod_all).
% 0.12/0.35     dependent: set(dynamic_demod).
% 0.12/0.35     dependent: set(order_eq).
% 0.12/0.35     dependent: set(back_demod).
% 0.12/0.35     dependent: set(lrpo).
% 0.12/0.35     dependent: set(hyper_res).
% 0.12/0.35     dependent: set(unit_deletion).
% 0.12/0.35     dependent: set(factor).
% 0.12/0.35  
% 0.12/0.35  ------------> process usable:
% 0.12/0.35    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).
% 0.12/0.35    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).
% 0.12/0.35  28 back subsumes 27.
% 0.12/0.35  
% 0.12/0.35  ------------> process sos:
% 0.12/0.35    Following clause subsumed by 39 during input processing: 0 [] {-} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 0.12/0.35  
% 0.12/0.35  ======= end of input processing =======
% 0.18/0.39  
% 0.18/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.39  
% 0.18/0.39  Stopped by limit on number of solutions
% 0.18/0.39  
% 0.18/0.39  
% 0.18/0.39  -------------- Softie stats --------------
% 0.18/0.39  
% 0.18/0.39  UPDATE_STOP: 300
% 0.18/0.39  SFINDER_TIME_LIMIT: 2
% 0.18/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.39  number of clauses in intial UL: 37
% 0.18/0.39  number of clauses initially in problem: 45
% 0.18/0.39  percentage of clauses intially in UL: 82
% 0.18/0.39  percentage of distinct symbols occuring in initial UL: 100
% 0.18/0.39  percent of all initial clauses that are short: 100
% 0.18/0.39  absolute distinct symbol count: 19
% 0.18/0.39     distinct predicate count: 12
% 0.18/0.39     distinct function count: 4
% 0.18/0.39     distinct constant count: 3
% 0.18/0.39  
% 0.18/0.39  ---------- no more Softie stats ----------
% 0.18/0.39  
% 0.18/0.39  
% 0.18/0.39  
% 0.18/0.39  Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.39  
% 0.18/0.39  Stopped by limit on number of solutions
% 0.18/0.39  
% 0.18/0.39  =========== start of search ===========
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 3 [ 3 1 303 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 4 [ 1 1 762 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 5 [ 12 0 723 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 6 [ 12 0 629 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 7 [ 12 0 762 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 8 [ 1 0 285 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 9 [ 5 0 220 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 10 [ 12 1 295 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 11 [ 17 1 922 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 12 [ 14 0 590 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 13 [ 7 0 698 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 14 [ 15 0 156 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 15 [ 11 1 562 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 16 [ 18 0 438 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 17 [ 18 1 717 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 18 [ 11 1 615 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 19 [ 32 0 321 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 20 [ 19 0 568 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 21 [ 52 0 362 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 22 [ 49 1 565 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 23 [ 65 0 151 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 24 [ 67 0 313 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 25 [ 79 0 470 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 26 [ 56 0 723 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 27 [ 83 1 568 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 28 [ 80 1 847 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 29 [ 97 0 657 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 30 [ 110 0 308 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 31 [ 86 0 576 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 32 [ 142 1 586 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 33 [ 50 0 671 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 34 [ 188 1 573 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 35 [ 82 0 565 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 36 [ 138 0 563 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 37 [ 155 1 1205 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 38 [ 137 0 1013 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 39 [ 168 1 291 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 40 [ 248 0 606 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 41 [ 152 1 1056 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 42 [ 139 1 670 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 43 [ 263 1 151 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 44 [ 263 1 421 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 45 [ 194 1 897 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 46 [ 184 1 759 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 47 [ 286 1 1377 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 13.97/14.19  Model 48 [ 444 0 1809 ] (0.00 seconds, 250000 Inserts)
% 13.97/14.19  
% 13.97/14.19  Stopped by limit on insertions
% 13.97/14.19  
% 17.05/17.26  Model 49 [ 233 1 1222 ] (0.00 seco
% 17.05/17.26  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 17.05/17.26  nds, 250000 Inserts)
% 17.05/17.26  
% 17.05/17.26  Stopped by limit on insertions
% 17.05/17.26  
% 17.05/17.26  Model 50 [ 365 1 313 ] (0.00 seconds, 250000 Inserts)
% 17.05/17.26  
% 17.05/17.26  Stopped by limit on insertions
% 17.05/17.26  
% 17.05/17.26  Model 51 [ 271 1 1274 ] (0.00 seconds, 250000 Inserts)
% 17.05/17.26  
% 17.05/17.26  Stopped by limit on insertions
% 17.05/17.26  
% 17.05/17.26  Model 52 [ 386 0 158 ] (0.00 seconds, 250000 Inserts)
% 17.05/17.26  
% 17.05/17.26  Stopped by limit on insertions
% 17.05/17.26  
% 17.05/17.26  Model 53 [ 407 1 151 ] (0.00 seconds, 250000 Inserts)
% 17.05/17.26  
% 17.05/17.26  ----> UNIT CONFLICT at  16.88 sec ----> 2591 [binary,2590.1,16.1] {+} $F.
% 17.05/17.26  
% 17.05/17.26  Length of proof is 3.  Level of proof is 3.
% 17.05/17.26  
% 17.05/17.26  ---------------- PROOF ----------------
% 17.05/17.26  % SZS status Theorem
% 17.05/17.26  % SZS output start Refutation
% 17.05/17.26  
% 17.05/17.26  15 [] {+} -distinct_lines(A,B)|convergent_lines(A,B).
% 17.05/17.26  16 [] {+} -convergent_lines(parallel_through_point(A,B),A).
% 17.05/17.26  17 [] {+} -apart_point_and_line(A,parallel_through_point(B,A)).
% 17.05/17.26  41 [] {+} equal_lines(A,B)|distinct_lines(A,B).
% 17.05/17.26  46 [] {-} apart_point_and_line($c1,line_connecting($c3,$c2)).
% 17.05/17.26  88 [para_from,41.1.1,17.1.2] {+} -apart_point_and_line(A,B)|distinct_lines(parallel_through_point(C,A),B).
% 17.05/17.26  2586 [hyper,88,46] {-} distinct_lines(parallel_through_point(A,$c1),line_connecting($c3,$c2)).
% 17.05/17.26  2590 [hyper,2586,15] {-} convergent_lines(parallel_through_point(A,$c1),line_connecting($c3,$c2)).
% 17.05/17.26  2591 [binary,2590.1,16.1] {+} $F.
% 17.05/17.26  
% 17.05/17.26  % SZS output end Refutation
% 17.05/17.26  ------------ end of proof -------------
% 17.05/17.26  
% 17.05/17.26  
% 17.05/17.26  Search stopped by max_proofs option.
% 17.05/17.26  
% 17.05/17.26  
% 17.05/17.26  Search stopped by max_proofs option.
% 17.05/17.26  
% 17.05/17.26  ============ end of search ============
% 17.05/17.26  
% 17.05/17.26  ----------- soft-scott stats ----------
% 17.05/17.26  
% 17.05/17.26  true clauses given          33      (23.2%)
% 17.05/17.26  false clauses given        109
% 17.05/17.26  
% 17.05/17.26        FALSE     TRUE
% 17.05/17.26     5  0         2
% 17.05/17.26     8  42        38
% 17.05/17.26     9  88        72
% 17.05/17.26    10  180       39
% 17.05/17.26    11  165       71
% 17.05/17.26    12  30        47
% 17.05/17.26    13  5         34
% 17.05/17.26    14  10        44
% 17.05/17.26    15  37        23
% 17.05/17.26    16  7         35
% 17.05/17.26    17  22        66
% 17.05/17.26    18  120       2
% 17.05/17.26    19  114       24
% 17.05/17.26    20  158       1
% 17.05/17.26    21  51        8
% 17.05/17.26    22  200       0
% 17.05/17.26    23  165       0
% 17.05/17.26    24  124       0
% 17.05/17.26    25  85        4
% 17.05/17.26    26  45        0
% 17.05/17.26    27  83        1
% 17.05/17.26    28  28        0
% 17.05/17.26    29  9         1
% 17.05/17.26    32  1         0
% 17.05/17.26  tot:  1769      512      (22.4% true)
% 17.05/17.26  
% 17.05/17.26  
% 17.05/17.26  Model 53 [ 407 1 151 ] (0.00 seconds, 250000 Inserts)
% 17.05/17.26  
% 17.05/17.26  That finishes the proof of the theorem.
% 17.05/17.26  
% 17.05/17.26  Process 31408 finished Sat Jun 18 03:44:24 2022
%------------------------------------------------------------------------------