TSTP Solution File: GEO046-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO046-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n016.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 06:17:41 EDT 2022

% Result   : Unsatisfiable 4.30s 4.50s
% Output   : Refutation 4.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO046-3 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command  : sos-script %s
% 0.12/0.33  % Computer : n016.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 : Fri Jun 17 17:17:36 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.36  ----- Otter 3.2, August 2001 -----
% 0.12/0.36  The process was started by sandbox on n016.cluster.edu,
% 0.12/0.36  Fri Jun 17 17:17:36 2022
% 0.12/0.36  The command was "./sos".  The process ID is 25622.
% 0.12/0.36  
% 0.12/0.36  set(prolog_style_variables).
% 0.12/0.36  set(auto).
% 0.12/0.36     dependent: set(auto1).
% 0.12/0.36     dependent: set(process_input).
% 0.12/0.36     dependent: clear(print_kept).
% 0.12/0.36     dependent: clear(print_new_demod).
% 0.12/0.36     dependent: clear(print_back_demod).
% 0.12/0.36     dependent: clear(print_back_sub).
% 0.12/0.36     dependent: set(control_memory).
% 0.12/0.36     dependent: assign(max_mem, 12000).
% 0.12/0.36     dependent: assign(pick_given_ratio, 4).
% 0.12/0.36     dependent: assign(stats_level, 1).
% 0.12/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36     dependent: assign(sos_limit, 5000).
% 0.12/0.36     dependent: assign(max_weight, 60).
% 0.12/0.36  clear(print_given).
% 0.12/0.36  
% 0.12/0.36  list(usable).
% 0.12/0.36  
% 0.12/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.12/0.36  
% 0.12/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.12/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.36  clauses in usable.
% 0.12/0.36  
% 0.12/0.36     dependent: set(knuth_bendix).
% 0.12/0.36     dependent: set(para_from).
% 0.12/0.36     dependent: set(para_into).
% 0.12/0.36     dependent: clear(para_from_right).
% 0.12/0.36     dependent: clear(para_into_right).
% 0.12/0.36     dependent: set(para_from_vars).
% 0.12/0.36     dependent: set(eq_units_both_ways).
% 0.12/0.36     dependent: set(dynamic_demod_all).
% 0.12/0.36     dependent: set(dynamic_demod).
% 0.12/0.36     dependent: set(order_eq).
% 0.12/0.36     dependent: set(back_demod).
% 0.12/0.36     dependent: set(lrpo).
% 0.12/0.36     dependent: set(hyper_res).
% 0.12/0.36     dependent: set(unit_deletion).
% 0.12/0.36     dependent: set(factor).
% 0.12/0.36  
% 0.12/0.36  ------------> process usable:
% 0.12/0.36    Following clause subsumed by 36 during input processing: 0 [] {-} -between(A,B,C)| -between(B,A,C)|A=B|B=C.
% 0.12/0.36    Following clause subsumed by 37 during input processing: 0 [] {-} -between(A,B,C)| -between(A,C,B)|A=B|B=C.
% 0.12/0.36  
% 0.12/0.36  ------------> process sos:
% 0.12/0.36    Following clause subsumed by 64 during input processing: 0 [demod,67] {-} between(A,B,extension(A,B,A,B)).
% 0.12/0.36    Following clause subsumed by 65 during input processing: 0 [demod,67] {-} equidistant(A,extension(B,A,B,A),B,A).
% 0.12/0.36    Following clause subsumed by 73 during input processing: 0 [] {-} A=A.
% 0.12/0.36  63 back subsumes 60.
% 0.12/0.36  68 back subsumes 55.
% 0.12/0.36  68 back subsumes 42.
% 0.12/0.36    Following clause subsumed by 73 during input processing: 0 [copy,73,flip.1] {-} A=A.
% 0.12/0.36  73 back subsumes 58.
% 0.12/0.36  73 back subsumes 57.
% 0.12/0.36  73 back subsumes 56.
% 0.12/0.36  74 back subsumes 43.
% 0.12/0.36  81 back subsumes 59.
% 0.12/0.36  81 back subsumes 47.
% 0.12/0.36  81 back subsumes 46.
% 0.12/0.36  82 back subsumes 48.
% 0.12/0.36  
% 0.12/0.36  ======= end of input processing =======
% 0.82/1.03  
% 0.82/1.03  Model 1 (0.00 seconds, 0 Inserts)
% 0.82/1.03  
% 0.82/1.03  Stopped by limit on number of solutions
% 0.82/1.03  
% 0.82/1.03  
% 0.82/1.03  -------------- Softie stats --------------
% 0.82/1.03  
% 0.82/1.03  UPDATE_STOP: 300
% 0.82/1.03  SFINDER_TIME_LIMIT: 2
% 0.82/1.03  SHORT_CLAUSE_CUTOFF: 4
% 0.82/1.03  number of clauses in intial UL: 46
% 0.82/1.03  number of clauses initially in problem: 65
% 0.82/1.03  percentage of clauses intially in UL: 70
% 0.82/1.03  percentage of distinct symbols occuring in initial UL: 87
% 0.82/1.03  percent of all initial clauses that are short: 100
% 0.82/1.03  absolute distinct symbol count: 16
% 0.82/1.03     distinct predicate count: 3
% 0.82/1.03     distinct function count: 6
% 0.82/1.03     distinct constant count: 7
% 0.82/1.03  
% 0.82/1.03  ---------- no more Softie stats ----------
% 0.82/1.03  
% 0.82/1.03  
% 0.82/1.03  
% 0.82/1.03  Model 2 (0.00 seconds, 0 Inserts)
% 0.82/1.03  
% 0.82/1.03  Stopped by limit on number of solutions
% 0.82/1.03  
% 0.82/1.03  =========== start of search ===========
% 4.30/4.50  
% 4.30/4.50  -------- PROOF -------- 
% 4.30/4.50  % SZS status Unsatisfiable
% 4.30/4.50  % SZS output start Refutation
% 4.30/4.50  
% 4.30/4.50  Model 3 (0.00 seconds, 0 Inserts)
% 4.30/4.50  
% 4.30/4.50  Stopped by limit on number of solutions
% 4.30/4.50  
% 4.30/4.50  Stopped by limit on insertions
% 4.30/4.50  
% 4.30/4.50  Model 4 [ 1 24 97653 ] (0.00 seconds, 250000 Inserts)
% 4.30/4.50  
% 4.30/4.50  Stopped by limit on insertions
% 4.30/4.50  
% 4.30/4.50  Model 5 [ 1 23 95521 ] (0.00 seconds, 250000 Inserts)
% 4.30/4.50  
% 4.30/4.50  Stopped by limit on insertions
% 4.30/4.50  
% 4.30/4.50  Model 6 [ 8 20 82412 ] (0.00 seconds, 250000 Inserts)
% 4.30/4.50  
% 4.30/4.50  Stopped by limit on insertions
% 4.30/4.50  
% 4.30/4.50  Model 7 [ 2 26 109089 ] (0.00 seconds, 250000 Inserts)
% 4.30/4.50  
% 4.30/4.50  Stopped by limit on insertions
% 4.30/4.50  
% 4.30/4.50  Model 8 [ 2 59 136625 ] (0.00 seconds, 250000 Inserts)
% 4.30/4.50  
% 4.30/4.50  Stopped by limit on insertions
% 4.30/4.50  
% 4.30/4.50  Model 9 [ 40 20 93795 ] (0.00 seconds, 250000 Inserts)
% 4.30/4.50  
% 4.30/4.50  Stopped by limit on insertions
% 4.30/4.50  
% 4.30/4.50  ----> UNIT CONFLICT at   4.11 sec ----> 849 [binary,848.1,41.1] {-} $F.
% 4.30/4.50  
% 4.30/4.50  Length of proof is 6.  Level of proof is 5.
% 4.30/4.50  
% 4.30/4.50  ---------------- PROOF ----------------
% 4.30/4.50  % SZS status Unsatisfiable
% 4.30/4.50  % SZS output start Refutation
% 4.30/4.50  
% 4.30/4.50  35 [] {+} -between(A,B,C)|between(C,B,A).
% 4.30/4.50  38 [] {+} -between(A,B,C)| -between(A,C,D)|between(B,C,D).
% 4.30/4.50  40 [] {+} -between(A,B,C)| -between(B,C,D)|between(A,B,D)|B=C.
% 4.30/4.50  41 [] {+} -between(u,w,x).
% 4.30/4.50  83 [] {+} between(u,v,x).
% 4.30/4.50  84 [] {+} between(v,w,x).
% 4.30/4.50  91 [hyper,83,35] {+} between(x,v,u).
% 4.30/4.50  154 [hyper,84,35] {+} between(x,w,v).
% 4.30/4.50  346 [hyper,154,38,91] {+} between(w,v,u).
% 4.30/4.50  568 [hyper,346,40,154] {-} between(x,w,u)|w=v.
% 4.30/4.50  841 [para_from,568.2.1,41.1.2,unit_del,83] {-} between(x,w,u).
% 4.30/4.50  848 [hyper,841,35] {-} between(u,w,x).
% 4.30/4.50  849 [binary,848.1,41.1] {-} $F.
% 4.30/4.50  
% 4.30/4.50  % SZS output end Refutation
% 4.30/4.50  ------------ end of proof -------------
% 4.30/4.50  
% 4.30/4.50  
% 4.30/4.50  Search stopped by max_proofs option.
% 4.30/4.50  
% 4.30/4.50  
% 4.30/4.50  Search stopped by max_proofs option.
% 4.30/4.50  
% 4.30/4.50  ============ end of search ============
% 4.30/4.50  
% 4.30/4.50  ----------- soft-scott stats ----------
% 4.30/4.50  
% 4.30/4.50  true clauses given           4      (26.7%)
% 4.30/4.50  false clauses given         11
% 4.30/4.50  
% 4.30/4.50        FALSE     TRUE
% 4.30/4.50     4  0         1
% 4.30/4.50     7  0         1
% 4.30/4.50     8  8         13
% 4.30/4.50     9  36        58
% 4.30/4.50    10  5         21
% 4.30/4.50    11  10        22
% 4.30/4.50    12  29        69
% 4.30/4.50    13  4         8
% 4.30/4.50    14  2         1
% 4.30/4.50    15  9         15
% 4.30/4.50    16  17        36
% 4.30/4.50    17  14        37
% 4.30/4.50    18  1         4
% 4.30/4.50    19  6         3
% 4.30/4.50    20  12        50
% 4.30/4.50    21  15        20
% 4.30/4.50    22  7         11
% 4.30/4.50    23  4         23
% 4.30/4.50    24  6         3
% 4.30/4.50    25  6         4
% 4.30/4.50    26  6         13
% 4.30/4.50    27  1         16
% 4.30/4.50    28  0         4
% 4.30/4.50    29  9         5
% 4.30/4.50    30  2         3
% 4.30/4.50    31  8         10
% 4.30/4.50    33  0         3
% 4.30/4.50    34  6         0
% 4.30/4.50    35  0         1
% 4.30/4.50    36  1         0
% 4.30/4.50    37  6         10
% 4.30/4.50    38  0         1
% 4.30/4.50    39  2         1
% 4.30/4.50    40  3         0
% 4.30/4.50    42  1         1
% 4.30/4.50    43  1         1
% 4.30/4.50    44  1         0
% 4.30/4.50    45  0         1
% 4.30/4.50    46  1         0
% 4.30/4.50    47  1         0
% 4.30/4.50    49  0         1
% 4.30/4.50    50  1         0
% 4.30/4.50  tot:  241       471      (66.2% true)
% 4.30/4.50  
% 4.30/4.50  
% 4.30/4.50  Model 9 [ 40 -22 93795 ] (0.00 seconds, 250000 Inserts)
% 4.30/4.50  
% 4.30/4.50  That finishes the proof of the theorem.
% 4.30/4.50  
% 4.30/4.50  Process 25622 finished Fri Jun 17 17:17:40 2022
%------------------------------------------------------------------------------