TSTP Solution File: GEO193+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO193+1 : 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 06:18:58 EDT 2022

% Result   : Theorem 13.83s 14.06s
% Output   : Refutation 13.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO193+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14  % Command  : sos-script %s
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Fri Jun 17 19:13:27 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.37  ----- Otter 3.2, August 2001 -----
% 0.14/0.37  The process was started by sandbox on n007.cluster.edu,
% 0.14/0.37  Fri Jun 17 19:13:27 2022
% 0.14/0.37  The command was "./sos".  The process ID is 23912.
% 0.14/0.37  
% 0.14/0.37  set(prolog_style_variables).
% 0.14/0.37  set(auto).
% 0.14/0.37     dependent: set(auto1).
% 0.14/0.37     dependent: set(process_input).
% 0.14/0.37     dependent: clear(print_kept).
% 0.14/0.37     dependent: clear(print_new_demod).
% 0.14/0.37     dependent: clear(print_back_demod).
% 0.14/0.37     dependent: clear(print_back_sub).
% 0.14/0.37     dependent: set(control_memory).
% 0.14/0.37     dependent: assign(max_mem, 12000).
% 0.14/0.37     dependent: assign(pick_given_ratio, 4).
% 0.14/0.37     dependent: assign(stats_level, 1).
% 0.14/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.37     dependent: assign(sos_limit, 5000).
% 0.14/0.37     dependent: assign(max_weight, 60).
% 0.14/0.37  clear(print_given).
% 0.14/0.37  
% 0.14/0.37  formula_list(usable).
% 0.14/0.37  
% 0.14/0.37  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 0.14/0.37  
% 0.14/0.37  This is a non-Horn set without equality.  The strategy
% 0.14/0.37  will be ordered hyper_res, ur_res, unit deletion, and
% 0.14/0.37  factoring, with satellites in sos and nuclei in usable.
% 0.14/0.37  
% 0.14/0.37     dependent: set(hyper_res).
% 0.14/0.37     dependent: set(factor).
% 0.14/0.37     dependent: set(unit_deletion).
% 0.14/0.37  
% 0.14/0.37  ------------> process usable:
% 0.14/0.37  
% 0.14/0.37  ------------> process sos:
% 0.14/0.37  
% 0.14/0.37  ======= end of input processing =======
% 0.14/0.39  
% 0.14/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.14/0.39  
% 0.14/0.39  Stopped by limit on number of solutions
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  -------------- Softie stats --------------
% 0.14/0.39  
% 0.14/0.39  UPDATE_STOP: 300
% 0.14/0.39  SFINDER_TIME_LIMIT: 2
% 0.14/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.14/0.39  number of clauses in intial UL: 15
% 0.14/0.39  number of clauses initially in problem: 19
% 0.14/0.39  percentage of clauses intially in UL: 78
% 0.14/0.39  percentage of distinct symbols occuring in initial UL: 100
% 0.14/0.39  percent of all initial clauses that are short: 100
% 0.14/0.39  absolute distinct symbol count: 9
% 0.14/0.39     distinct predicate count: 4
% 0.14/0.39     distinct function count: 2
% 0.14/0.39     distinct constant count: 3
% 0.14/0.39  
% 0.14/0.39  ---------- no more Softie stats ----------
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  =========== start of search ===========
% 13.83/14.06  
% 13.83/14.06  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 13.83/14.06  
% 13.83/14.06  Model 2 (0.00 seconds, 0 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on number of solutions
% 13.83/14.06  
% 13.83/14.06  Model 3 (0.00 seconds, 0 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on number of solutions
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 4 [ 1 0 89 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 5 [ 1 0 68 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 6 [ 1 0 162 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 7 [ 2 0 128 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 8 [ 2 0 91 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 9 [ 2 1 101 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 10 [ 3 1 115 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 11 [ 3 0 121 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 12 [ 3 0 70 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 13 [ 4 0 123 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 14 [ 4 0 100 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 15 [ 5 0 148 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 16 [ 27 0 73 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 17 [ 6 0 125 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 18 [ 6 0 63 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 19 [ 33 0 93 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 20 [ 7 0 63 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 21 [ 34 1 86 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 22 [ 8 1 143 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 23 [ 8 1 130 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 24 [ 9 1 70 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 25 [ 9 1 71 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 26 [ 9 0 63 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 27 [ 46 0 76 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 28 [ 10 0 66 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 29 [ 11 0 119 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 30 [ 11 0 79 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 31 [ 11 0 126 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 32 [ 53 1 321 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 33 [ 54 0 63 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 34 [ 12 0 143 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 35 [ 62 0 64 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 36 [ 13 0 230 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 37 [ 12 0 80 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 38 [ 14 0 68 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 39 [ 14 0 2147 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 40 [ 15 1 117 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 41 [ 15 1 63 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 42 [ 15 0 75 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  Model 43 [ 16 0 121 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  Stopped by limit on insertions
% 13.83/14.06  
% 13.83/14.06  -----> EMPTY CLAUSE at  13.65 sec ----> 1773 [hyper,1663,9,818,unit_del,3,3] {-} $F.
% 13.83/14.06  
% 13.83/14.06  Length of proof is 20.  Level of proof is 9.
% 13.83/14.06  
% 13.83/14.06  ---------------- PROOF ----------------
% 13.83/14.06  % SZS status Theorem
% 13.83/14.06  % SZS output start Refutation
% 13.83/14.06  
% 13.83/14.06  3 [] {+} -convergent_lines(A,A).
% 13.83/14.06  6 [] {+} -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 13.83/14.06  9 [] {+} -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),A).
% 13.83/14.06  10 [] {+} -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),B).
% 13.83/14.06  11 [] {+} -distinct_points(A,B)| -distinct_lines(C,D)|apart_point_and_line(A,C)|apart_point_and_line(A,D)|apart_point_and_line(B,C)|apart_point_and_line(B,D).
% 13.83/14.06  12 [] {+} -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 13.83/14.06  14 [] {+} -convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C).
% 13.83/14.06  15 [] {+} -apart_point_and_line(intersection_point($c1,$c2),$c3).
% 13.83/14.06  16 [] {+} convergent_lines($c3,$c2).
% 13.83/14.06  17 [] {+} convergent_lines($c1,$c2).
% 13.83/14.06  19 [] {-} apart_point_and_line(intersection_point($c3,$c2),$c1).
% 13.83/14.06  21 [hyper,16,6] {+} convergent_lines($c3,A)|convergent_lines($c2,A).
% 13.83/14.06  23 [hyper,17,6] {+} convergent_lines($c1,A)|convergent_lines($c2,A).
% 13.83/14.06  27 [hyper,19,12] {-} distinct_points(intersection_point($c3,$c2),A)|apart_point_and_line(A,$c1).
% 13.83/14.06  30 [hyper,21,6] {-} convergent_lines($c2,A)|convergent_lines($c3,B)|convergent_lines(A,B).
% 13.83/14.06  43 [hyper,23,6] {-} convergent_lines($c2,A)|convergent_lines($c1,B)|convergent_lines(A,B).
% 13.83/14.06  72 [hyper,30,3] {+} convergent_lines($c2,A)|convergent_lines(A,$c3).
% 13.83/14.06  77 [hyper,72,6] {-} convergent_lines(A,$c3)|convergent_lines($c2,B)|convergent_lines(A,B).
% 13.83/14.06  78 [hyper,72,14] {-} convergent_lines($c2,A)|distinct_lines($c3,B)|convergent_lines(A,B).
% 13.83/14.06  79 [factor,78.1.3,unit_del,3] {+} distinct_lines($c3,$c2).
% 13.83/14.06  85 [hyper,79,11,27] {-} apart_point_and_line(intersection_point($c3,$c2),$c3)|apart_point_and_line(intersection_point($c3,$c2),$c2)|apart_point_and_line(A,$c3)|apart_point_and_line(A,$c2)|apart_point_and_line(A,$c1).
% 13.83/14.06  100 [hyper,43,6] {-} convergent_lines($c2,A)|convergent_lines($c1,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 13.83/14.06  101 [factor,100.1.3,unit_del,3] {+} convergent_lines($c1,A)|convergent_lines(A,$c2).
% 13.83/14.06  163 [hyper,77,6] {-} convergent_lines(A,$c3)|convergent_lines(A,B)|convergent_lines($c2,C)|convergent_lines(B,C).
% 13.83/14.06  164 [hyper,77,3] {-} convergent_lines(A,$c3)|convergent_lines(A,$c2).
% 13.83/14.06  619 [hyper,85,9,164,unit_del,3] {-} apart_point_and_line(intersection_point($c3,$c2),$c2)|apart_point_and_line(A,$c3)|apart_point_and_line(A,$c2)|apart_point_and_line(A,$c1).
% 13.83/14.06  815 [hyper,100,6] {+} convergent_lines($c2,A)|convergent_lines($c1,B)|convergent_lines(B,C)|convergent_lines(A,D)|convergent_lines(C,D).
% 13.83/14.06  818 [factor,815.1.4,unit_del,3] {-} convergent_lines($c1,A)|convergent_lines(A,B)|convergent_lines(B,$c2).
% 13.83/14.06  889 [hyper,163,3] {-} convergent_lines(A,$c3)|convergent_lines(A,B)|convergent_lines(B,$c2).
% 13.83/14.06  1389 [hyper,619,10,889,unit_del,3,3] {-} apart_point_and_line(A,$c3)|apart_point_and_line(A,$c2)|apart_point_and_line(A,$c1).
% 13.83/14.06  1663 [hyper,1389,10,101,unit_del,15,3] {-} apart_point_and_line(intersection_point($c1,$c2),$c1).
% 13.83/14.06  1773 [hyper,1663,9,818,unit_del,3,3] {-} $F.
% 13.83/14.06  
% 13.83/14.06  % SZS output end Refutation
% 13.83/14.06  ------------ end of proof -------------
% 13.83/14.06  
% 13.83/14.06  
% 13.83/14.06  Search stopped by max_proofs option.
% 13.83/14.06  
% 13.83/14.06  
% 13.83/14.06  Search stopped by max_proofs option.
% 13.83/14.06  
% 13.83/14.06  ============ end of search ============
% 13.83/14.06  
% 13.83/14.06  ----------- soft-scott stats ----------
% 13.83/14.06  
% 13.83/14.06  true clauses given          51      (16.9%)
% 13.83/14.06  false clauses given        251
% 13.83/14.06  
% 13.83/14.06        FALSE     TRUE
% 13.83/14.06     5  1         0
% 13.83/14.06    10  6         2
% 13.83/14.06    12  6         84
% 13.83/14.06    13  16        8
% 13.83/14.06    14  0         4
% 13.83/14.06    15  158       68
% 13.83/14.06    16  24        16
% 13.83/14.06    17  0         4
% 13.83/14.06    19  16        22
% 13.83/14.06    22  5         2
% 13.83/14.06    23  6         8
% 13.83/14.06    25  33        27
% 13.83/14.06    26  37        39
% 13.83/14.06    28  156       54
% 13.83/14.06    29  105       24
% 13.83/14.06    31  102       20
% 13.83/14.06    32  3         11
% 13.83/14.06    33  1         8
% 13.83/14.06    36  14        5
% 13.83/14.06    39  7         2
% 13.83/14.06    41  1         0
% 13.83/14.06    42  6         2
% 13.83/14.06    44  1         0
% 13.83/14.06  tot:  704       410      (36.8% true)
% 13.83/14.06  
% 13.83/14.06  
% 13.83/14.06  Model 43 [ 16 -343 121 ] (0.00 seconds, 250000 Inserts)
% 13.83/14.06  
% 13.83/14.06  That finishes the proof of the theorem.
% 13.83/14.06  
% 13.83/14.06  Process 23912 finished Fri Jun 17 19:13:41 2022
%------------------------------------------------------------------------------