TSTP Solution File: GEO058-2 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO058-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n013.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 06:17:47 EDT 2022

% Result   : Unsatisfiable 3.41s 3.61s
% Output   : Refutation 3.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO058-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n013.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 14:56:14 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 n013.cluster.edu,
% 0.13/0.36  Sat Jun 18 14:56:14 2022
% 0.13/0.36  The command was "./sos".  The process ID is 6062.
% 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  list(usable).
% 0.13/0.36  
% 0.13/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.13/0.36  
% 0.13/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.13/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.36  clauses in usable.
% 0.13/0.36  
% 0.13/0.36     dependent: set(knuth_bendix).
% 0.13/0.36     dependent: set(para_from).
% 0.13/0.36     dependent: set(para_into).
% 0.13/0.36     dependent: clear(para_from_right).
% 0.13/0.36     dependent: clear(para_into_right).
% 0.13/0.36     dependent: set(para_from_vars).
% 0.13/0.36     dependent: set(eq_units_both_ways).
% 0.13/0.36     dependent: set(dynamic_demod_all).
% 0.13/0.36     dependent: set(dynamic_demod).
% 0.13/0.36     dependent: set(order_eq).
% 0.13/0.36     dependent: set(back_demod).
% 0.13/0.36     dependent: set(lrpo).
% 0.13/0.36     dependent: set(hyper_res).
% 0.13/0.36     dependent: set(unit_deletion).
% 0.13/0.36     dependent: set(factor).
% 0.13/0.36  
% 0.13/0.36  ------------> process usable:
% 0.13/0.36  
% 0.13/0.36  ------------> process sos:
% 0.13/0.36  36 back subsumes 33.
% 0.13/0.36    Following clause subsumed by 44 during input processing: 0 [copy,44,flip.1] {-} A=A.
% 0.13/0.36  
% 0.13/0.36  ======= end of input processing =======
% 0.69/0.88  
% 0.69/0.88  Model 1 (0.00 seconds, 0 Inserts)
% 0.69/0.88  
% 0.69/0.88  Stopped by limit on number of solutions
% 0.69/0.88  
% 0.69/0.88  
% 0.69/0.88  -------------- Softie stats --------------
% 0.69/0.88  
% 0.69/0.88  UPDATE_STOP: 300
% 0.69/0.88  SFINDER_TIME_LIMIT: 2
% 0.69/0.88  SHORT_CLAUSE_CUTOFF: 4
% 0.69/0.88  number of clauses in intial UL: 33
% 0.69/0.88  number of clauses initially in problem: 41
% 0.69/0.88  percentage of clauses intially in UL: 80
% 0.69/0.88  percentage of distinct symbols occuring in initial UL: 85
% 0.69/0.88  percent of all initial clauses that are short: 100
% 0.69/0.88  absolute distinct symbol count: 14
% 0.69/0.88     distinct predicate count: 3
% 0.69/0.88     distinct function count: 6
% 0.69/0.88     distinct constant count: 5
% 0.69/0.88  
% 0.69/0.88  ---------- no more Softie stats ----------
% 0.69/0.88  
% 0.69/0.88  
% 0.69/0.88  
% 0.69/0.88  Model 2 (0.00 seconds, 0 Inserts)
% 0.69/0.88  
% 0.69/0.88  Stopped by limit on number of solutions
% 0.69/0.88  
% 0.69/0.88  =========== start of search ===========
% 3.41/3.61  
% 3.41/3.61  -------- PROOF -------- 
% 3.41/3.61  % SZS status Unsatisfiable
% 3.41/3.61  % SZS output start Refutation
% 3.41/3.61  
% 3.41/3.61  Model 3 (0.00 seconds, 0 Inserts)
% 3.41/3.61  
% 3.41/3.61  Stopped by limit on number of solutions
% 3.41/3.61  
% 3.41/3.61  Stopped by limit on insertions
% 3.41/3.61  
% 3.41/3.61  Model 4 [ 3 47 197585 ] (0.00 seconds, 250000 Inserts)
% 3.41/3.61  
% 3.41/3.61  Model 5 (0.00 seconds, 250000 Inserts)
% 3.41/3.61  
% 3.41/3.61  Stopped by limit on number of solutions
% 3.41/3.61  
% 3.41/3.61  Stopped by limit on insertions
% 3.41/3.61  
% 3.41/3.61  Model 6 [ 39 36 152264 ] (0.00 seconds, 250000 Inserts)
% 3.41/3.61  
% 3.41/3.61  Stopped by limit on insertions
% 3.41/3.61  
% 3.41/3.61  Model 7 [ 95 29 130715 ] (0.00 seconds, 250000 Inserts)
% 3.41/3.61  
% 3.41/3.61  Stopped by limit on insertions
% 3.41/3.61  
% 3.41/3.61  Model 8 [ 102 4 11448 ] (0.00 seconds, 250000 Inserts)
% 3.41/3.61  
% 3.41/3.61  ----> UNIT CONFLICT at   3.22 sec ----> 310 [binary,308.1,17.1] {-} $F.
% 3.41/3.61  
% 3.41/3.61  Length of proof is 7.  Level of proof is 4.
% 3.41/3.61  
% 3.41/3.61  ---------------- PROOF ----------------
% 3.41/3.61  % SZS status Unsatisfiable
% 3.41/3.61  % SZS output start Refutation
% 3.41/3.61  
% 3.41/3.61  1 [] {+} -equidistant(A,B,C,D)| -equidistant(A,B,E,F)|equidistant(C,D,E,F).
% 3.41/3.61  2 [] {+} -equidistant(A,B,C,C)|A=B.
% 3.41/3.61  16 [] {-} u!=v.
% 3.41/3.61  17 [copy,16,flip.1] {+} v!=u.
% 3.41/3.61  18 [factor,1.1.2] {+} -equidistant(A,B,C,D)|equidistant(C,D,C,D).
% 3.41/3.61  36 [] {+} equidistant(A,B,B,A).
% 3.41/3.61  38 [] {+} equidistant(A,extension(B,A,C,D),C,D).
% 3.41/3.61  40,39 [] {-} reflection(A,B)=extension(A,B,A,B).
% 3.41/3.61  41 [] {-} v=reflection(u,v).
% 3.41/3.61  42 [copy,41,demod,40,flip.1] {+} extension(u,v,u,v)=v.
% 3.41/3.61  45 [hyper,36,18] {+} equidistant(A,B,A,B).
% 3.41/3.61  161 [para_into,38.1.2,42.1.1] {+} equidistant(v,v,u,v).
% 3.41/3.61  182 [hyper,161,1,45] {-} equidistant(u,v,v,v).
% 3.41/3.61  308 [hyper,182,2,flip.1] {-} v=u.
% 3.41/3.61  310 [binary,308.1,17.1] {-} $F.
% 3.41/3.61  
% 3.41/3.61  % SZS output end Refutation
% 3.41/3.61  ------------ end of proof -------------
% 3.41/3.61  
% 3.41/3.61  
% 3.41/3.61  Search stopped by max_proofs option.
% 3.41/3.61  
% 3.41/3.61  
% 3.41/3.61  Search stopped by max_proofs option.
% 3.41/3.61  
% 3.41/3.61  ============ end of search ============
% 3.41/3.61  
% 3.41/3.61  ----------- soft-scott stats ----------
% 3.41/3.61  
% 3.41/3.61  true clauses given           1      (11.1%)
% 3.41/3.61  false clauses given          8
% 3.41/3.61  
% 3.41/3.61        FALSE     TRUE
% 3.41/3.61     7  1         1
% 3.41/3.61     8  0         4
% 3.41/3.61     9  8         7
% 3.41/3.61    10  4         0
% 3.41/3.61    11  0         5
% 3.41/3.61    12  0         5
% 3.41/3.61    13  3         4
% 3.41/3.61    14  2         5
% 3.41/3.61    15  1         0
% 3.41/3.61    16  3         6
% 3.41/3.61    17  2         7
% 3.41/3.61    18  7         2
% 3.41/3.61    19  1         0
% 3.41/3.61    20  2         10
% 3.41/3.61    21  0         7
% 3.41/3.61    22  9         7
% 3.41/3.61    23  4         4
% 3.41/3.61    24  4         9
% 3.41/3.61    25  0         6
% 3.41/3.61    26  0         10
% 3.41/3.61    27  8         2
% 3.41/3.61    28  0         1
% 3.41/3.61    29  1         8
% 3.41/3.61    30  3         1
% 3.41/3.61    31  0         6
% 3.41/3.61    32  4         6
% 3.41/3.61    33  3         10
% 3.41/3.61    34  4         4
% 3.41/3.61    35  2         8
% 3.41/3.61    36  1         2
% 3.41/3.61    37  2         3
% 3.41/3.61    38  2         4
% 3.41/3.61    39  2         0
% 3.41/3.61    40  0         5
% 3.41/3.61    41  0         1
% 3.41/3.61    42  1         0
% 3.41/3.61    43  2         0
% 3.41/3.61    44  1         1
% 3.41/3.61    45  0         2
% 3.41/3.61    49  0         1
% 3.41/3.61    50  0         1
% 3.41/3.61  tot:  87        165      (65.5% true)
% 3.41/3.61  
% 3.41/3.61  
% 3.41/3.61  Model 8 [ 102 -26 11448 ] (0.00 seconds, 250000 Inserts)
% 3.41/3.61  
% 3.41/3.61  That finishes the proof of the theorem.
% 3.41/3.61  
% 3.41/3.61  Process 6062 finished Sat Jun 18 14:56:17 2022
%------------------------------------------------------------------------------