TSTP Solution File: GEO190+2 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO190+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n006.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 06:18:55 EDT 2022

% Result   : Theorem 2.13s 2.34s
% Output   : Refutation 2.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO190+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n006.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 06:50:55 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 n006.cluster.edu,
% 0.13/0.36  Sat Jun 18 06:50:55 2022
% 0.13/0.36  The command was "./sos".  The process ID is 19042.
% 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=0, symmetry=0, max_lits=6.
% 0.13/0.36  
% 0.13/0.36  This is a non-Horn set without equality.  The strategy
% 0.13/0.36  will be ordered hyper_res, ur_res, unit deletion, and
% 0.13/0.36  factoring, with satellites in sos and nuclei in usable.
% 0.13/0.36  
% 0.13/0.36     dependent: set(hyper_res).
% 0.13/0.36     dependent: set(factor).
% 0.13/0.36     dependent: set(unit_deletion).
% 0.13/0.36  
% 0.13/0.36  ------------> process usable:
% 0.13/0.36  
% 0.13/0.36  ------------> process sos:
% 0.13/0.36  
% 0.13/0.36  ======= end of input processing =======
% 0.13/0.38  
% 0.13/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.38  
% 0.13/0.38  Stopped by limit on number of solutions
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  -------------- Softie stats --------------
% 0.13/0.38  
% 0.13/0.38  UPDATE_STOP: 300
% 0.13/0.38  SFINDER_TIME_LIMIT: 2
% 0.13/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.38  number of clauses in intial UL: 15
% 0.13/0.38  number of clauses initially in problem: 19
% 0.13/0.38  percentage of clauses intially in UL: 78
% 0.13/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.13/0.38  percent of all initial clauses that are short: 100
% 0.13/0.38  absolute distinct symbol count: 9
% 0.13/0.38     distinct predicate count: 4
% 0.13/0.38     distinct function count: 2
% 0.13/0.38     distinct constant count: 3
% 0.13/0.38  
% 0.13/0.38  ---------- no more Softie stats ----------
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  =========== start of search ===========
% 2.13/2.34  
% 2.13/2.34  -------- PROOF -------- 
% 2.13/2.34  % SZS status Theorem
% 2.13/2.34  % SZS output start Refutation
% 2.13/2.34  
% 2.13/2.34  Model 2 (0.00 seconds, 0 Inserts)
% 2.13/2.34  
% 2.13/2.34  Stopped by limit on number of solutions
% 2.13/2.34  
% 2.13/2.34  Model 3 (0.00 seconds, 0 Inserts)
% 2.13/2.34  
% 2.13/2.34  Stopped by limit on number of solutions
% 2.13/2.34  
% 2.13/2.34  Stopped by limit on insertions
% 2.13/2.34  
% 2.13/2.34  Model 4 [ 1 1 64 ] (0.00 seconds, 250000 Inserts)
% 2.13/2.34  
% 2.13/2.34  Stopped by limit on insertions
% 2.13/2.34  
% 2.13/2.34  Model 5 [ 1 0 67 ] (0.00 seconds, 250000 Inserts)
% 2.13/2.34  
% 2.13/2.34  Stopped by limit on insertions
% 2.13/2.34  
% 2.13/2.34  Model 6 [ 1 0 63 ] (0.00 seconds, 250000 Inserts)
% 2.13/2.34  
% 2.13/2.34  Stopped by limit on insertions
% 2.13/2.34  
% 2.13/2.34  Model 7 [ 2 0 119 ] (0.00 seconds, 250000 Inserts)
% 2.13/2.34  
% 2.13/2.34  Stopped by limit on insertions
% 2.13/2.34  
% 2.13/2.34  Model 8 [ 2 1 74 ] (0.00 seconds, 250000 Inserts)
% 2.13/2.34  
% 2.13/2.34  Stopped by limit on insertions
% 2.13/2.34  
% 2.13/2.34  Model 9 [ 2 0 82 ] (0.00 seconds, 250000 Inserts)
% 2.13/2.34  
% 2.13/2.34  Stopped by limit on insertions
% 2.13/2.34  
% 2.13/2.34  Stopped by limit on insertions
% 2.13/2.34  
% 2.13/2.34  Stopped by limit on insertions
% 2.13/2.34  
% 2.13/2.34  Model 10 [ 3 0 74 ] (0.00 seconds, 250000 Inserts)
% 2.13/2.34  
% 2.13/2.34  Stopped by limit on insertions
% 2.13/2.34  
% 2.13/2.34  Model 11 [ 3 1 100 ] (0.00 seconds, 250000 Inserts)
% 2.13/2.34  
% 2.13/2.34  Stopped by limit on insertions
% 2.13/2.34  
% 2.13/2.34  Model 12 [ 4 0 69 ] (0.00 seconds, 250000 Inserts)
% 2.13/2.34  
% 2.13/2.34  Stopped by limit on insertions
% 2.13/2.34  
% 2.13/2.34  Model 13 [ 4 0 81 ] (0.00 seconds, 250000 Inserts)
% 2.13/2.34  
% 2.13/2.34  Stopped by limit on insertions
% 2.13/2.34  
% 2.13/2.34  Model 14 [ 5 0 66 ] (0.00 seconds, 250000 Inserts)
% 2.13/2.34  
% 2.13/2.34  Stopped by limit on insertions
% 2.13/2.34  
% 2.13/2.34  Model 15 [ 5 1 68 ] (0.00 seconds, 250000 Inserts)
% 2.13/2.34  
% 2.13/2.34  Stopped by limit on insertions
% 2.13/2.34  
% 2.13/2.34  -----> EMPTY CLAUSE at   1.95 sec ----> 917 [hyper,774,7,63,unit_del,1,1] {-} $F.
% 2.13/2.34  
% 2.13/2.34  Length of proof is 11.  Level of proof is 8.
% 2.13/2.34  
% 2.13/2.34  ---------------- PROOF ----------------
% 2.13/2.34  % SZS status Theorem
% 2.13/2.34  % SZS output start Refutation
% 2.13/2.34  
% 2.13/2.34  1 [] {+} -distinct_points(A,A).
% 2.13/2.34  4 [] {+} -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 2.13/2.34  7 [] {+} -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,A).
% 2.13/2.34  8 [] {+} -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,B).
% 2.13/2.34  11 [] {+} -distinct_points(A,B)| -distinct_lines(C,D)|apart_point_and_line(A,C)|apart_point_and_line(A,D)|apart_point_and_line(B,C)|apart_point_and_line(B,D).
% 2.13/2.34  13 [] {+} -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 2.13/2.34  15 [] {+} -apart_point_and_line($c1,line_connecting($c3,$c2)).
% 2.13/2.34  16 [] {+} distinct_points($c3,$c2).
% 2.13/2.34  19 [] {-} apart_point_and_line($c1,line_connecting($c2,$c3)).
% 2.13/2.34  20 [hyper,16,4] {+} distinct_points($c3,A)|distinct_points($c2,A).
% 2.13/2.34  23 [hyper,19,13] {-} distinct_lines(line_connecting($c2,$c3),A)|apart_point_and_line($c1,A).
% 2.13/2.34  25 [hyper,20,4] {-} distinct_points($c2,A)|distinct_points($c3,B)|distinct_points(A,B).
% 2.13/2.34  26 [hyper,20,1] {+} distinct_points($c2,$c3).
% 2.13/2.34  34 [hyper,23,11,26] {-} apart_point_and_line($c1,A)|apart_point_and_line($c2,line_connecting($c2,$c3))|apart_point_and_line($c2,A)|apart_point_and_line($c3,line_connecting($c2,$c3))|apart_point_and_line($c3,A).
% 2.13/2.34  50 [hyper,25,1] {-} distinct_points($c2,A)|distinct_points(A,$c3).
% 2.13/2.34  58 [hyper,50,4] {-} distinct_points(A,$c3)|distinct_points($c2,B)|distinct_points(A,B).
% 2.13/2.34  63 [hyper,58,1] {+} distinct_points(A,$c3)|distinct_points(A,$c2).
% 2.13/2.34  129 [hyper,34,7,63,unit_del,1,1] {-} apart_point_and_line($c1,A)|apart_point_and_line($c2,A)|apart_point_and_line($c3,line_connecting($c2,$c3))|apart_point_and_line($c3,A).
% 2.13/2.34  550 [hyper,129,8,63,unit_del,1,1] {-} apart_point_and_line($c1,A)|apart_point_and_line($c2,A)|apart_point_and_line($c3,A).
% 2.13/2.34  774 [hyper,550,8,16,unit_del,15,1] {-} apart_point_and_line($c3,line_connecting($c3,$c2)).
% 2.13/2.34  917 [hyper,774,7,63,unit_del,1,1] {-} $F.
% 2.13/2.34  
% 2.13/2.34  % SZS output end Refutation
% 2.13/2.34  ------------ end of proof -------------
% 2.13/2.34  
% 2.13/2.34  
% 2.13/2.34  Search stopped by max_proofs option.
% 2.13/2.34  
% 2.13/2.34  
% 2.13/2.34  Search stopped by max_proofs option.
% 2.13/2.34  
% 2.13/2.34  ============ end of search ============
% 2.13/2.34  
% 2.13/2.34  ----------- soft-scott stats ----------
% 2.13/2.34  
% 2.13/2.34  true clauses given           7      (11.3%)
% 2.13/2.34  false clauses given         55
% 2.13/2.34  
% 2.13/2.34        FALSE     TRUE
% 2.13/2.34     5  1         0
% 2.13/2.34    10  8         0
% 2.13/2.34    12  6         15
% 2.13/2.34    13  36        0
% 2.13/2.34    14  4         0
% 2.13/2.34    15  24        4
% 2.13/2.34    16  52        0
% 2.13/2.34    18  2         0
% 2.13/2.34    19  40        0
% 2.13/2.34    22  3         0
% 2.13/2.34    23  6         0
% 2.13/2.34    25  17        0
% 2.13/2.34    26  23        0
% 2.13/2.34    28  36        0
% 2.13/2.34    29  27        0
% 2.13/2.34    31  14        0
% 2.13/2.34    32  6         0
% 2.13/2.34    33  1         0
% 2.13/2.34    36  6         0
% 2.13/2.34    39  4         0
% 2.13/2.34    41  1         0
% 2.13/2.34    42  4         0
% 2.13/2.34    44  2         0
% 2.13/2.34  tot:  323       19      (5.6% true)
% 2.13/2.34  
% 2.13/2.34  
% 2.13/2.34  Model 15 [ 5 -59 68 ] (0.00 seconds, 250000 Inserts)
% 2.13/2.34  
% 2.13/2.34  That finishes the proof of the theorem.
% 2.13/2.34  
% 2.13/2.34  Process 19042 finished Sat Jun 18 06:50:57 2022
%------------------------------------------------------------------------------