TSTP Solution File: GEO059-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO059-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n010.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 06:17:48 EDT 2022

% Result   : Unsatisfiable 2.41s 2.60s
% Output   : Refutation 2.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : GEO059-3 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.14  % Command  : sos-script %s
% 0.15/0.36  % Computer : n010.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Sat Jun 18 14:08:38 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.15/0.39  ----- Otter 3.2, August 2001 -----
% 0.15/0.39  The process was started by sandbox2 on n010.cluster.edu,
% 0.15/0.39  Sat Jun 18 14:08:38 2022
% 0.15/0.39  The command was "./sos".  The process ID is 7082.
% 0.15/0.39  
% 0.15/0.39  set(prolog_style_variables).
% 0.15/0.39  set(auto).
% 0.15/0.39     dependent: set(auto1).
% 0.15/0.39     dependent: set(process_input).
% 0.15/0.39     dependent: clear(print_kept).
% 0.15/0.39     dependent: clear(print_new_demod).
% 0.15/0.39     dependent: clear(print_back_demod).
% 0.15/0.39     dependent: clear(print_back_sub).
% 0.15/0.39     dependent: set(control_memory).
% 0.15/0.39     dependent: assign(max_mem, 12000).
% 0.15/0.39     dependent: assign(pick_given_ratio, 4).
% 0.15/0.39     dependent: assign(stats_level, 1).
% 0.15/0.39     dependent: assign(pick_semantic_ratio, 3).
% 0.15/0.39     dependent: assign(sos_limit, 5000).
% 0.15/0.39     dependent: assign(max_weight, 60).
% 0.15/0.39  clear(print_given).
% 0.15/0.39  
% 0.15/0.39  list(usable).
% 0.15/0.39  
% 0.15/0.39  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.15/0.39  
% 0.15/0.39  This ia a non-Horn set with equality.  The strategy will be
% 0.15/0.39  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.15/0.39  unit deletion, with positive clauses in sos and nonpositive
% 0.15/0.39  clauses in usable.
% 0.15/0.39  
% 0.15/0.39     dependent: set(knuth_bendix).
% 0.15/0.39     dependent: set(para_from).
% 0.15/0.39     dependent: set(para_into).
% 0.15/0.39     dependent: clear(para_from_right).
% 0.15/0.39     dependent: clear(para_into_right).
% 0.15/0.39     dependent: set(para_from_vars).
% 0.15/0.39     dependent: set(eq_units_both_ways).
% 0.15/0.39     dependent: set(dynamic_demod_all).
% 0.15/0.39     dependent: set(dynamic_demod).
% 0.15/0.39     dependent: set(order_eq).
% 0.15/0.39     dependent: set(back_demod).
% 0.15/0.39     dependent: set(lrpo).
% 0.15/0.39     dependent: set(hyper_res).
% 0.15/0.39     dependent: set(unit_deletion).
% 0.15/0.39     dependent: set(factor).
% 0.15/0.39  
% 0.15/0.39  ------------> process usable:
% 0.15/0.39  
% 0.15/0.39  ------------> process sos:
% 0.15/0.39    Following clause subsumed by 54 during input processing: 0 [demod,57] {-} between(A,B,extension(A,B,A,B)).
% 0.15/0.39    Following clause subsumed by 55 during input processing: 0 [demod,57] {-} equidistant(A,extension(B,A,B,A),B,A).
% 0.15/0.39    Following clause subsumed by 63 during input processing: 0 [] {-} A=A.
% 0.15/0.39  53 back subsumes 50.
% 0.15/0.39  58 back subsumes 48.
% 0.15/0.39  58 back subsumes 35.
% 0.15/0.39    Following clause subsumed by 63 during input processing: 0 [copy,63,flip.1] {-} A=A.
% 0.15/0.39  63 back subsumes 49.
% 0.15/0.39  64 back subsumes 36.
% 0.15/0.39  
% 0.15/0.39  ======= end of input processing =======
% 0.77/0.96  
% 0.77/0.96  Model 1 (0.00 seconds, 0 Inserts)
% 0.77/0.96  
% 0.77/0.96  Stopped by limit on number of solutions
% 0.77/0.96  
% 0.77/0.96  
% 0.77/0.96  -------------- Softie stats --------------
% 0.77/0.96  
% 0.77/0.96  UPDATE_STOP: 300
% 0.77/0.96  SFINDER_TIME_LIMIT: 2
% 0.77/0.96  SHORT_CLAUSE_CUTOFF: 4
% 0.77/0.96  number of clauses in intial UL: 41
% 0.77/0.96  number of clauses initially in problem: 55
% 0.77/0.96  percentage of clauses intially in UL: 74
% 0.77/0.96  percentage of distinct symbols occuring in initial UL: 78
% 0.77/0.96  percent of all initial clauses that are short: 100
% 0.77/0.96  absolute distinct symbol count: 14
% 0.77/0.96     distinct predicate count: 3
% 0.77/0.96     distinct function count: 6
% 0.77/0.96     distinct constant count: 5
% 0.77/0.96  
% 0.77/0.96  ---------- no more Softie stats ----------
% 0.77/0.96  
% 0.77/0.96  
% 0.77/0.96  
% 0.77/0.96  Model 2 (0.00 seconds, 0 Inserts)
% 0.77/0.96  
% 0.77/0.96  Stopped by limit on number of solutions
% 0.77/0.96  
% 0.77/0.96  =========== start of search ===========
% 2.41/2.60  
% 2.41/2.60  -------- PROOF -------- 
% 2.41/2.60  % SZS status Unsatisfiable
% 2.41/2.60  % SZS output start Refutation
% 2.41/2.60  
% 2.41/2.60  Model 3 (0.00 seconds, 0 Inserts)
% 2.41/2.60  
% 2.41/2.60  Stopped by limit on number of solutions
% 2.41/2.60  
% 2.41/2.60  Model 4 (0.00 seconds, 0 Inserts)
% 2.41/2.60  
% 2.41/2.60  Stopped by limit on number of solutions
% 2.41/2.60  
% 2.41/2.60  Stopped by limit on insertions
% 2.41/2.60  
% 2.41/2.60  Model 5 [ 36 53 228902 ] (0.00 seconds, 250000 Inserts)
% 2.41/2.60  
% 2.41/2.60  ----> UNIT CONFLICT at   2.19 sec ----> 339 [binary,338.1,66.1] {+} $F.
% 2.41/2.60  
% 2.41/2.60  Length of proof is 3.  Level of proof is 2.
% 2.41/2.60  
% 2.41/2.60  ---------------- PROOF ----------------
% 2.41/2.60  % SZS status Unsatisfiable
% 2.41/2.60  % SZS output start Refutation
% 2.41/2.60  
% 2.41/2.60  21 [] {+} -equidistant(A,B,C,D)|equidistant(D,C,A,B).
% 2.41/2.60  23 [] {+} -equidistant(A,B,C,D)| -equidistant(C,D,E,F)|equidistant(A,B,E,F).
% 2.41/2.60  34 [] {-} -equidistant(v,u,v,reflection(reflection(u,v),v)).
% 2.41/2.60  55 [] {-} equidistant(A,extension(B,A,C,D),C,D).
% 2.41/2.60  57,56 [] {+} reflection(A,B)=extension(A,B,A,B).
% 2.41/2.60  66 [back_demod,34,demod,57,57] {+} -equidistant(v,u,v,extension(extension(u,v,u,v),v,extension(u,v,u,v),v)).
% 2.41/2.60  94 [hyper,55,21] {-} equidistant(A,B,C,extension(D,C,B,A)).
% 2.41/2.60  338 [hyper,94,23,94] {-} equidistant(A,B,C,extension(D,C,extension(E,F,B,A),F)).
% 2.41/2.60  339 [binary,338.1,66.1] {+} $F.
% 2.41/2.60  
% 2.41/2.60  % SZS output end Refutation
% 2.41/2.60  ------------ end of proof -------------
% 2.41/2.60  
% 2.41/2.60  
% 2.41/2.60  Search stopped by max_proofs option.
% 2.41/2.60  
% 2.41/2.60  
% 2.41/2.60  Search stopped by max_proofs option.
% 2.41/2.60  
% 2.41/2.60  ============ end of search ============
% 2.41/2.60  
% 2.41/2.60  ----------- soft-scott stats ----------
% 2.41/2.60  
% 2.41/2.60  true clauses given           5      (35.7%)
% 2.41/2.60  false clauses given          9
% 2.41/2.60  
% 2.41/2.60        FALSE     TRUE
% 2.41/2.60     8  0         10
% 2.41/2.60     9  3         2
% 2.41/2.60    10  1         2
% 2.41/2.60    11  0         1
% 2.41/2.60    12  0         3
% 2.41/2.60    13  20        2
% 2.41/2.60    14  4         4
% 2.41/2.60    15  0         3
% 2.41/2.60    16  0         6
% 2.41/2.60    17  8         9
% 2.41/2.60    18  0         7
% 2.41/2.60    19  0         5
% 2.41/2.60    20  0         11
% 2.41/2.60    21  4         5
% 2.41/2.60    22  2         2
% 2.41/2.60    23  0         5
% 2.41/2.60    24  4         4
% 2.41/2.60    25  2         4
% 2.41/2.60    26  0         1
% 2.41/2.60    27  2         1
% 2.41/2.60    28  0         6
% 2.41/2.60    29  14        4
% 2.41/2.60    30  4         1
% 2.41/2.60    31  4         2
% 2.41/2.60    32  2         3
% 2.41/2.60    33  0         4
% 2.41/2.60    34  12        0
% 2.41/2.60    35  0         1
% 2.41/2.60    36  4         1
% 2.41/2.60    37  0         3
% 2.41/2.60    38  0         5
% 2.41/2.60    39  4         1
% 2.41/2.60    42  0         1
% 2.41/2.60    43  4         1
% 2.41/2.60    44  4         0
% 2.41/2.60    45  1         2
% 2.41/2.60    46  2         0
% 2.41/2.60    47  2         0
% 2.41/2.60    49  0         1
% 2.41/2.60    50  4         0
% 2.41/2.60  tot:  111       123      (52.6% true)
% 2.41/2.60  
% 2.41/2.60  
% 2.41/2.60  Model 5 [ 36 -38 228902 ] (0.00 seconds, 250000 Inserts)
% 2.41/2.60  
% 2.41/2.60  That finishes the proof of the theorem.
% 2.41/2.60  
% 2.41/2.60  Process 7082 finished Sat Jun 18 14:08:40 2022
%------------------------------------------------------------------------------