TSTP Solution File: SET084-6 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET084-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n023.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 : Tue Jul 19 05:15:32 EDT 2022

% Result   : Unsatisfiable 5.23s 5.45s
% Output   : Refutation 5.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET084-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12  % Command  : sos-script %s
% 0.13/0.34  % Computer : n023.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 : Sun Jul 10 17:23:40 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 n023.cluster.edu,
% 0.13/0.36  Sun Jul 10 17:23:40 2022
% 0.13/0.36  The command was "./sos".  The process ID is 2880.
% 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=5.
% 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    Following clause subsumed by 140 during input processing: 0 [copy,140,flip.1] {-} A=A.
% 0.13/0.36  140 back subsumes 62.
% 0.13/0.36  
% 0.13/0.36  ======= end of input processing =======
% 0.37/0.61  
% 0.37/0.61  Model 1 (0.00 seconds, 0 Inserts)
% 0.37/0.61  
% 0.37/0.61  Stopped by limit on number of solutions
% 0.37/0.61  
% 0.37/0.61  
% 0.37/0.61  -------------- Softie stats --------------
% 0.37/0.61  
% 0.37/0.61  UPDATE_STOP: 300
% 0.37/0.61  SFINDER_TIME_LIMIT: 2
% 0.37/0.61  SHORT_CLAUSE_CUTOFF: 4
% 0.37/0.61  number of clauses in intial UL: 49
% 0.37/0.61  number of clauses initially in problem: 122
% 0.37/0.61  percentage of clauses intially in UL: 40
% 0.37/0.61  percentage of distinct symbols occuring in initial UL: 64
% 0.37/0.61  percent of all initial clauses that are short: 100
% 0.37/0.61  absolute distinct symbol count: 50
% 0.37/0.61     distinct predicate count: 10
% 0.37/0.61     distinct function count: 30
% 0.37/0.61     distinct constant count: 10
% 0.37/0.61  
% 0.37/0.61  ---------- no more Softie stats ----------
% 0.37/0.61  
% 0.37/0.61  
% 0.37/0.61  
% 0.37/0.61  Stopped by limit on insertions
% 0.37/0.61  
% 0.37/0.61  =========== start of search ===========
% 5.23/5.45  
% 5.23/5.45  -------- PROOF -------- 
% 5.23/5.45  % SZS status Unsatisfiable
% 5.23/5.45  % SZS output start Refutation
% 5.23/5.45  
% 5.23/5.45  Stopped by limit on insertions
% 5.23/5.45  
% 5.23/5.45  Model 2 [ 1 1 2442 ] (0.00 seconds, 250000 Inserts)
% 5.23/5.45  
% 5.23/5.45  Stopped by limit on insertions
% 5.23/5.45  
% 5.23/5.45  Model 3 [ 2 1 6107 ] (0.00 seconds, 250000 Inserts)
% 5.23/5.45  
% 5.23/5.45  Stopped by limit on insertions
% 5.23/5.45  
% 5.23/5.45  Stopped by limit on insertions
% 5.23/5.45  
% 5.23/5.45  Model 4 [ 1 1 5954 ] (0.00 seconds, 250000 Inserts)
% 5.23/5.45  
% 5.23/5.45  Stopped by limit on insertions
% 5.23/5.45  
% 5.23/5.45  Model 5 [ 5 1 9651 ] (0.00 seconds, 250000 Inserts)
% 5.23/5.45  
% 5.23/5.45  Stopped by limit on insertions
% 5.23/5.45  
% 5.23/5.45  Model 6 [ 15 1 2977 ] (0.00 seconds, 250000 Inserts)
% 5.23/5.45  
% 5.23/5.45  Stopped by limit on insertions
% 5.23/5.45  
% 5.23/5.45  Model 7 [ 16 1 3126 ] (0.00 seconds, 250000 Inserts)
% 5.23/5.45  
% 5.23/5.45  Stopped by limit on insertions
% 5.23/5.45  
% 5.23/5.45  Model 8 [ 8 2 26646 ] (0.00 seconds, 250000 Inserts)
% 5.23/5.45  
% 5.23/5.45  Stopped by limit on insertions
% 5.23/5.45  
% 5.23/5.45  Stopped by limit on insertions
% 5.23/5.45  
% 5.23/5.45  Stopped by limit on insertions
% 5.23/5.45  
% 5.23/5.45  Model 9 [ 5 1 9819 ] (0.00 seconds, 250000 Inserts)
% 5.23/5.45  
% 5.23/5.45  Stopped by limit on insertions
% 5.23/5.45  
% 5.23/5.45  Stopped by limit on insertions
% 5.23/5.45  
% 5.23/5.45  Model 10 [ 27 2 16911 ] (0.00 seconds, 250000 Inserts)
% 5.23/5.45  
% 5.23/5.45  Stopped by limit on insertions
% 5.23/5.45  
% 5.23/5.45  Model 11 [ 18 2 15390 ] (0.00 seconds, 250000 Inserts)
% 5.23/5.45  
% 5.23/5.45  Stopped by limit on insertions
% 5.23/5.45  
% 5.23/5.45  Stopped by limit on insertions
% 5.23/5.45  
% 5.23/5.45  Model 12 [ 33 1 713 ] (0.00 seconds, 250000 Inserts)
% 5.23/5.45  
% 5.23/5.45  Stopped by limit on insertions
% 5.23/5.45  
% 5.23/5.45  Model 13 [ 16 1 6126 ] (0.00 seconds, 250000 Inserts)
% 5.23/5.45  
% 5.23/5.45  Stopped by limit on insertions
% 5.23/5.45  
% 5.23/5.45  ----> UNIT CONFLICT at   5.05 sec ----> 922 [binary,920.1,61.1] {-} $F.
% 5.23/5.45  
% 5.23/5.45  Length of proof is 6.  Level of proof is 4.
% 5.23/5.45  
% 5.23/5.45  ---------------- PROOF ----------------
% 5.23/5.45  % SZS status Unsatisfiable
% 5.23/5.45  % SZS output start Refutation
% 5.23/5.45  
% 5.23/5.45  6 [] {+} -member(A,unordered_pair(B,C))|A=B|A=C.
% 5.23/5.45  8 [] {+} -member(A,universal_class)|member(A,unordered_pair(B,A)).
% 5.23/5.45  60 [] {-} x!=y.
% 5.23/5.45  61 [copy,60,flip.1] {+} y!=x.
% 5.23/5.45  63 [factor,6.2.3] {+} -member(A,unordered_pair(B,B))|A=B.
% 5.23/5.45  73 [] {-} unordered_pair(A,A)=singleton(A).
% 5.23/5.45  75,74 [copy,73,flip.1] {+} singleton(A)=unordered_pair(A,A).
% 5.23/5.45  136 [] {-} singleton(x)=singleton(y).
% 5.23/5.45  137 [copy,136,demod,75,75,flip.1] {-} unordered_pair(y,y)=unordered_pair(x,x).
% 5.23/5.45  139 [] {+} member(y,universal_class).
% 5.23/5.45  907 [para_from,137.1.1,8.2.2,unit_del,139] {-} member(y,unordered_pair(x,x)).
% 5.23/5.45  920 [hyper,907,63] {-} y=x.
% 5.23/5.45  922 [binary,920.1,61.1] {-} $F.
% 5.23/5.45  
% 5.23/5.45  % SZS output end Refutation
% 5.23/5.45  ------------ end of proof -------------
% 5.23/5.45  
% 5.23/5.45  
% 5.23/5.45  Search stopped by max_proofs option.
% 5.23/5.45  
% 5.23/5.45  
% 5.23/5.45  Search stopped by max_proofs option.
% 5.23/5.45  
% 5.23/5.45  ============ end of search ============
% 5.23/5.45  
% 5.23/5.45  ----------- soft-scott stats ----------
% 5.23/5.45  
% 5.23/5.45  true clauses given           3      (10.3%)
% 5.23/5.45  false clauses given         26
% 5.23/5.45  
% 5.23/5.45        FALSE     TRUE
% 5.23/5.45     5  0         14
% 5.23/5.45     6  0         5
% 5.23/5.45     7  11        36
% 5.23/5.45     8  7         33
% 5.23/5.45     9  33        56
% 5.23/5.45    10  6         48
% 5.23/5.45    11  33        61
% 5.23/5.45    12  10        23
% 5.23/5.45    13  26        57
% 5.23/5.45    14  11        22
% 5.23/5.45    15  15        30
% 5.23/5.45    16  10        5
% 5.23/5.45    17  7         25
% 5.23/5.45    18  8         5
% 5.23/5.45    19  7         8
% 5.23/5.45    20  10        1
% 5.23/5.45    21  9         5
% 5.23/5.45    22  7         3
% 5.23/5.45    23  10        3
% 5.23/5.45    24  1         3
% 5.23/5.45    25  2         0
% 5.23/5.45    26  6         0
% 5.23/5.45    27  1         23
% 5.23/5.45    28  0         2
% 5.23/5.45    29  1         10
% 5.23/5.45    30  0         6
% 5.23/5.45    31  2         10
% 5.23/5.45    32  0         11
% 5.23/5.45    33  0         3
% 5.23/5.45    34  0         9
% 5.23/5.45    36  0         1
% 5.23/5.45    37  0         1
% 5.23/5.45    39  0         1
% 5.23/5.45    46  0         2
% 5.23/5.45    48  0         4
% 5.23/5.45    50  0         2
% 5.23/5.45    55  0         1
% 5.23/5.45    57  0         2
% 5.23/5.45    59  0         1
% 5.23/5.45  tot:  233       532      (69.5% true)
% 5.23/5.45  
% 5.23/5.45  
% 5.23/5.45  Model 13 [ 16 -41 6126 ] (0.00 seconds, 250000 Inserts)
% 5.23/5.45  
% 5.23/5.45  That finishes the proof of the theorem.
% 5.23/5.45  
% 5.23/5.45  Process 2880 finished Sun Jul 10 17:23:45 2022
%------------------------------------------------------------------------------