TSTP Solution File: GEO180+2 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO180+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n018.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 2.48s 2.70s
% Output   : Refutation 2.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO180+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n018.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 06:02:32 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 sandbox2 on n018.cluster.edu,
% 0.12/0.35  Sat Jun 18 06:02:33 2022
% 0.12/0.35  The command was "./sos".  The process ID is 11750.
% 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  
% 0.12/0.35  ------------> process sos:
% 0.12/0.35  
% 0.12/0.35  ======= end of input processing =======
% 0.18/0.37  
% 0.18/0.37  Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.37  
% 0.18/0.37  Stopped by limit on number of solutions
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  -------------- Softie stats --------------
% 0.18/0.37  
% 0.18/0.37  UPDATE_STOP: 300
% 0.18/0.37  SFINDER_TIME_LIMIT: 2
% 0.18/0.37  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.37  number of clauses in intial UL: 15
% 0.18/0.37  number of clauses initially in problem: 17
% 0.18/0.37  percentage of clauses intially in UL: 88
% 0.18/0.37  percentage of distinct symbols occuring in initial UL: 100
% 0.18/0.37  percent of all initial clauses that are short: 100
% 0.18/0.37  absolute distinct symbol count: 9
% 0.18/0.37     distinct predicate count: 4
% 0.18/0.37     distinct function count: 2
% 0.18/0.37     distinct constant count: 3
% 0.18/0.37  
% 0.18/0.37  ---------- no more Softie stats ----------
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  =========== start of search ===========
% 2.48/2.70  
% 2.48/2.70  -------- PROOF -------- 
% 2.48/2.70  % SZS status Theorem
% 2.48/2.70  % SZS output start Refutation
% 2.48/2.70  
% 2.48/2.70  Model 2 (0.00 seconds, 0 Inserts)
% 2.48/2.70  
% 2.48/2.70  Stopped by limit on number of solutions
% 2.48/2.70  
% 2.48/2.70  Model 3 (0.00 seconds, 0 Inserts)
% 2.48/2.70  
% 2.48/2.70  Stopped by limit on number of solutions
% 2.48/2.70  
% 2.48/2.70  Stopped by limit on insertions
% 2.48/2.70  
% 2.48/2.70  Model 4 [ 1 0 67 ] (0.00 seconds, 250000 Inserts)
% 2.48/2.70  
% 2.48/2.70  Stopped by limit on insertions
% 2.48/2.70  
% 2.48/2.70  Model 5 [ 1 1 73 ] (0.00 seconds, 250000 Inserts)
% 2.48/2.70  
% 2.48/2.70  Stopped by limit on insertions
% 2.48/2.70  
% 2.48/2.70  Model 6 [ 1 0 63 ] (0.00 seconds, 250000 Inserts)
% 2.48/2.70  
% 2.48/2.70  Stopped by limit on insertions
% 2.48/2.70  
% 2.48/2.70  Model 7 [ 2 1 72 ] (0.00 seconds, 250000 Inserts)
% 2.48/2.70  
% 2.48/2.70  Stopped by limit on insertions
% 2.48/2.70  
% 2.48/2.70  Model 8 [ 2 0 68 ] (0.00 seconds, 250000 Inserts)
% 2.48/2.70  
% 2.48/2.70  Stopped by limit on insertions
% 2.48/2.70  
% 2.48/2.70  Model 9 [ 2 7 206752 ] (0.00 seconds, 250000 Inserts)
% 2.48/2.70  
% 2.48/2.70  Model 10 (0.00 seconds, 250000 Inserts)
% 2.48/2.70  
% 2.48/2.70  Stopped by limit on number of solutions
% 2.48/2.70  
% 2.48/2.70  Stopped by limit on insertions
% 2.48/2.70  
% 2.48/2.70  Model 11 [ 3 0 76 ] (0.00 seconds, 250000 Inserts)
% 2.48/2.70  
% 2.48/2.70  -----> EMPTY CLAUSE at   2.33 sec ----> 883 [hyper,723,8,63,unit_del,1,1] {-} $F.
% 2.48/2.70  
% 2.48/2.70  Length of proof is 14.  Level of proof is 7.
% 2.48/2.70  
% 2.48/2.70  ---------------- PROOF ----------------
% 2.48/2.70  % SZS status Theorem
% 2.48/2.70  % SZS output start Refutation
% 2.48/2.70  
% 2.48/2.70  1 [] {+} -distinct_points(A,A).
% 2.48/2.70  4 [] {+} -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 2.48/2.70  7 [] {+} -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,A).
% 2.48/2.70  8 [] {+} -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,B).
% 2.48/2.70  11 [] {+} -distinct_points(A,B)| -distinct_lines(C,D)|apart_point_and_line(A,C)|apart_point_and_line(A,D)|apart_point_and_line(B,C)|apart_point_and_line(B,D).
% 2.48/2.70  13 [] {+} -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 2.48/2.70  15 [] {+} -apart_point_and_line($c3,line_connecting($c1,$c2)).
% 2.48/2.70  16 [] {+} distinct_points($c3,$c2).
% 2.48/2.70  17 [] {-} apart_point_and_line($c1,line_connecting($c3,$c2)).
% 2.48/2.70  18 [hyper,16,4] {+} distinct_points($c3,A)|distinct_points($c2,A).
% 2.48/2.70  19 [hyper,17,13] {-} distinct_lines(line_connecting($c3,$c2),A)|apart_point_and_line($c1,A).
% 2.48/2.70  21 [hyper,17,8,16] {+} distinct_points($c1,$c2).
% 2.48/2.70  24 [hyper,18,4] {-} distinct_points($c2,A)|distinct_points($c3,B)|distinct_points(A,B).
% 2.48/2.70  27 [hyper,21,4] {+} distinct_points($c1,A)|distinct_points($c2,A).
% 2.48/2.70  30 [hyper,19,11,16] {-} apart_point_and_line($c1,A)|apart_point_and_line($c3,line_connecting($c3,$c2))|apart_point_and_line($c3,A)|apart_point_and_line($c2,line_connecting($c3,$c2))|apart_point_and_line($c2,A).
% 2.48/2.70  35 [hyper,27,4] {-} distinct_points($c2,A)|distinct_points($c1,B)|distinct_points(A,B).
% 2.48/2.70  45 [hyper,24,4] {+} distinct_points($c2,A)|distinct_points($c3,B)|distinct_points(A,C)|distinct_points(B,C).
% 2.48/2.70  46 [factor,45.1.3,unit_del,1] {+} distinct_points($c3,A)|distinct_points(A,$c2).
% 2.48/2.70  62 [hyper,35,4] {-} distinct_points($c2,A)|distinct_points($c1,B)|distinct_points(A,C)|distinct_points(B,C).
% 2.48/2.70  63 [factor,62.1.3,unit_del,1] {+} distinct_points($c1,A)|distinct_points(A,$c2).
% 2.48/2.70  244 [hyper,30,7,46,unit_del,1,1] {-} apart_point_and_line($c1,A)|apart_point_and_line($c3,A)|apart_point_and_line($c2,line_connecting($c3,$c2))|apart_point_and_line($c2,A).
% 2.48/2.70  641 [hyper,244,8,46,unit_del,1,1] {-} apart_point_and_line($c1,A)|apart_point_and_line($c3,A)|apart_point_and_line($c2,A).
% 2.48/2.70  723 [hyper,641,7,21,unit_del,15,1] {+} apart_point_and_line($c2,line_connecting($c1,$c2)).
% 2.48/2.70  883 [hyper,723,8,63,unit_del,1,1] {-} $F.
% 2.48/2.70  
% 2.48/2.70  % SZS output end Refutation
% 2.48/2.70  ------------ end of proof -------------
% 2.48/2.70  
% 2.48/2.70  
% 2.48/2.70  Search stopped by max_proofs option.
% 2.48/2.70  
% 2.48/2.70  
% 2.48/2.70  Search stopped by max_proofs option.
% 2.48/2.70  
% 2.48/2.70  ============ end of search ============
% 2.48/2.70  
% 2.48/2.70  ----------- soft-scott stats ----------
% 2.48/2.70  
% 2.48/2.70  true clauses given          11      (23.4%)
% 2.48/2.70  false clauses given         36
% 2.48/2.70  
% 2.48/2.70        FALSE     TRUE
% 2.48/2.70     5  0         1
% 2.48/2.70     9  2         4
% 2.48/2.70    10  6         2
% 2.48/2.70    12  10        7
% 2.48/2.70    13  20        10
% 2.48/2.70    14  2         0
% 2.48/2.70    15  2         4
% 2.48/2.70    16  16        8
% 2.48/2.70    17  12        0
% 2.48/2.70    18  5         0
% 2.48/2.70    19  4         0
% 2.48/2.70    21  5         1
% 2.48/2.70    22  3         0
% 2.48/2.70    23  14        0
% 2.48/2.70    24  2         2
% 2.48/2.70    25  17        0
% 2.48/2.70    26  64        0
% 2.48/2.70    28  34        0
% 2.48/2.70    29  76        0
% 2.48/2.70    31  41        0
% 2.48/2.70    32  26        0
% 2.48/2.70    33  3         0
% 2.48/2.70    34  30        0
% 2.48/2.70    36  13        0
% 2.48/2.70    39  17        0
% 2.48/2.70    41  2         0
% 2.48/2.70    42  23        0
% 2.48/2.70    44  5         0
% 2.48/2.70    45  12        0
% 2.48/2.70    47  3         0
% 2.48/2.70  tot:  469       39      (7.7% true)
% 2.48/2.70  
% 2.48/2.70  
% 2.48/2.70  Model 11 [ 3 0 76 ] (0.00 seconds, 250000 Inserts)
% 2.48/2.70  
% 2.48/2.70  That finishes the proof of the theorem.
% 2.48/2.70  
% 2.48/2.70  Process 11750 finished Sat Jun 18 06:02:35 2022
%------------------------------------------------------------------------------