TSTP Solution File: GEO215+2 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO215+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n007.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 06:19:16 EDT 2022

% Result   : Theorem 2.10s 2.29s
% Output   : Refutation 2.10s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO215+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n007.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 13:49:43 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  ----- Otter 3.2, August 2001 -----
% 0.12/0.35  The process was started by sandbox on n007.cluster.edu,
% 0.12/0.35  Sat Jun 18 13:49:43 2022
% 0.12/0.35  The command was "./sos".  The process ID is 26291.
% 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    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  
% 0.12/0.35  ------------> process sos:
% 0.12/0.35  
% 0.12/0.35  ======= end of input processing =======
% 0.12/0.39  
% 0.12/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.39  
% 0.12/0.39  Stopped by limit on number of solutions
% 0.12/0.39  
% 0.12/0.39  
% 0.12/0.39  -------------- Softie stats --------------
% 0.12/0.39  
% 0.12/0.39  UPDATE_STOP: 300
% 0.12/0.39  SFINDER_TIME_LIMIT: 2
% 0.12/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.39  number of clauses in intial UL: 25
% 0.12/0.39  number of clauses initially in problem: 27
% 0.12/0.39  percentage of clauses intially in UL: 92
% 0.12/0.39  percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.39  percent of all initial clauses that are short: 100
% 0.12/0.39  absolute distinct symbol count: 12
% 0.12/0.39     distinct predicate count: 5
% 0.12/0.39     distinct function count: 4
% 0.12/0.39     distinct constant count: 3
% 0.12/0.39  
% 0.12/0.39  ---------- no more Softie stats ----------
% 0.12/0.39  
% 0.12/0.39  
% 0.12/0.39  
% 0.12/0.39  Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.39  
% 0.12/0.39  Stopped by limit on number of solutions
% 0.12/0.39  
% 0.12/0.39  =========== start of search ===========
% 2.10/2.29  
% 2.10/2.29  -------- PROOF -------- 
% 2.10/2.29  % SZS status Theorem
% 2.10/2.29  % SZS output start Refutation
% 2.10/2.29  
% 2.10/2.29  Stopped by limit on insertions
% 2.10/2.29  
% 2.10/2.29  Model 3 [ 5 1 525 ] (0.00 seconds, 250000 Inserts)
% 2.10/2.29  
% 2.10/2.29  Stopped by limit on insertions
% 2.10/2.29  
% 2.10/2.29  Model 4 [ 1 1 1322 ] (0.00 seconds, 250000 Inserts)
% 2.10/2.29  
% 2.10/2.29  Stopped by limit on insertions
% 2.10/2.29  
% 2.10/2.29  Model 5 [ 20 1 541 ] (0.00 seconds, 250000 Inserts)
% 2.10/2.29  
% 2.10/2.29  Stopped by limit on insertions
% 2.10/2.29  
% 2.10/2.29  Model 6 [ 13 0 333 ] (0.00 seconds, 250000 Inserts)
% 2.10/2.29  
% 2.10/2.29  Stopped by limit on insertions
% 2.10/2.29  
% 2.10/2.29  Model 7 [ 22 1 115 ] (0.00 seconds, 250000 Inserts)
% 2.10/2.29  
% 2.10/2.29  Stopped by limit on insertions
% 2.10/2.29  
% 2.10/2.29  Model 8 [ 12 5 207244 ] (0.00 seconds, 250000 Inserts)
% 2.10/2.29  
% 2.10/2.29  Stopped by limit on insertions
% 2.10/2.29  
% 2.10/2.29  Model 9 [ 32 1 189 ] (0.00 seconds, 250000 Inserts)
% 2.10/2.29  
% 2.10/2.29  Stopped by limit on insertions
% 2.10/2.29  
% 2.10/2.29  Model 10 [ 19 1 636 ] (0.00 seconds, 250000 Inserts)
% 2.10/2.29  
% 2.10/2.29  Stopped by limit on insertions
% 2.10/2.29  
% 2.10/2.29  Model 11 [ 40 1 166 ] (0.00 seconds, 250000 Inserts)
% 2.10/2.29  
% 2.10/2.29  Stopped by limit on insertions
% 2.10/2.29  
% 2.10/2.29  Model 12 [ 27 0 342 ] (0.00 seconds, 250000 Inserts)
% 2.10/2.29  
% 2.10/2.29  Stopped by limit on insertions
% 2.10/2.29  
% 2.10/2.29  -----> EMPTY CLAUSE at   1.92 sec ----> 304 [hyper,290,9,60,unit_del,1,3] {-} $F.
% 2.10/2.29  
% 2.10/2.29  Length of proof is 8.  Level of proof is 5.
% 2.10/2.29  
% 2.10/2.29  ---------------- PROOF ----------------
% 2.10/2.29  % SZS status Theorem
% 2.10/2.29  % SZS output start Refutation
% 2.10/2.29  
% 2.10/2.29  1 [] {+} -distinct_points(A,A).
% 2.10/2.29  3 [] {+} -convergent_lines(A,A).
% 2.10/2.29  6 [] {+} -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 2.10/2.29  9 [] {+} -convergent_lines(A,B)| -apart_point_and_line(C,A)|distinct_points(C,intersection_point(A,B)).
% 2.10/2.29  10 [] {+} -convergent_lines(A,B)| -apart_point_and_line(C,B)|distinct_points(C,intersection_point(A,B)).
% 2.10/2.29  14 [] {+} -convergent_lines(A,B)|distinct_lines(A,B).
% 2.10/2.29  23 [] {+} -distinct_lines(A,B)|apart_point_and_line(C,A)|apart_point_and_line(C,B)|unorthogonal_lines(A,D)|unorthogonal_lines(B,D).
% 2.10/2.29  24 [] {+} -unorthogonal_lines($c3,$c1).
% 2.10/2.29  25 [] {+} -unorthogonal_lines($c2,$c1).
% 2.10/2.29  27 [] {-} convergent_lines($c3,$c2).
% 2.10/2.29  31 [hyper,27,14] {+} distinct_lines($c3,$c2).
% 2.10/2.29  32 [hyper,27,6] {-} convergent_lines($c3,A)|convergent_lines($c2,A).
% 2.10/2.29  33 [hyper,31,23] {+} apart_point_and_line(A,$c3)|apart_point_and_line(A,$c2)|unorthogonal_lines($c3,B)|unorthogonal_lines($c2,B).
% 2.10/2.29  42 [hyper,32,6] {-} convergent_lines($c2,A)|convergent_lines($c3,B)|convergent_lines(A,B).
% 2.10/2.29  51 [hyper,33,24,unit_del,25] {+} apart_point_and_line(A,$c3)|apart_point_and_line(A,$c2).
% 2.10/2.29  60 [hyper,42,3] {-} convergent_lines($c2,A)|convergent_lines(A,$c3).
% 2.10/2.29  87 [hyper,51,10,60,unit_del,3] {-} apart_point_and_line(A,$c2)|distinct_points(A,intersection_point($c2,$c3)).
% 2.10/2.29  290 [hyper,87,1] {-} apart_point_and_line(intersection_point($c2,$c3),$c2).
% 2.10/2.29  304 [hyper,290,9,60,unit_del,1,3] {-} $F.
% 2.10/2.29  
% 2.10/2.29  % SZS output end Refutation
% 2.10/2.29  ------------ end of proof -------------
% 2.10/2.29  
% 2.10/2.29  
% 2.10/2.29  Search stopped by max_proofs option.
% 2.10/2.29  
% 2.10/2.29  
% 2.10/2.29  Search stopped by max_proofs option.
% 2.10/2.29  
% 2.10/2.29  ============ end of search ============
% 2.10/2.29  
% 2.10/2.29  ----------- soft-scott stats ----------
% 2.10/2.29  
% 2.10/2.29  true clauses given          15      (31.2%)
% 2.10/2.29  false clauses given         33
% 2.10/2.29  
% 2.10/2.29        FALSE     TRUE
% 2.10/2.29     6  0         5
% 2.10/2.29     7  0         1
% 2.10/2.29     8  8         9
% 2.10/2.29     9  12        13
% 2.10/2.29    10  3         4
% 2.10/2.29    11  13        4
% 2.10/2.29    12  5         1
% 2.10/2.29    13  3         6
% 2.10/2.29    14  4         0
% 2.10/2.29    15  4         11
% 2.10/2.29    16  3         1
% 2.10/2.29    17  1         0
% 2.10/2.29    18  2         17
% 2.10/2.29    19  2         8
% 2.10/2.29    20  1         9
% 2.10/2.29    21  4         15
% 2.10/2.29    22  6         7
% 2.10/2.29    23  5         5
% 2.10/2.29    24  0         9
% 2.10/2.29    26  1         1
% 2.10/2.29    27  2         1
% 2.10/2.29  tot:  79        127      (61.7% true)
% 2.10/2.29  
% 2.10/2.29  
% 2.10/2.29  Model 12 [ 27 -23 342 ] (0.00 seconds, 250000 Inserts)
% 2.10/2.29  
% 2.10/2.29  That finishes the proof of the theorem.
% 2.10/2.29  
% 2.10/2.29  Process 26291 finished Sat Jun 18 13:49:45 2022
%------------------------------------------------------------------------------