TSTP Solution File: SET019-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET019-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n019.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 05:14:20 EDT 2022

% Result   : Unsatisfiable 10.01s 10.25s
% Output   : Refutation 10.01s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SET019-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul 10 23:44:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.39  ----- Otter 3.2, August 2001 -----
% 0.12/0.39  The process was started by sandbox on n019.cluster.edu,
% 0.12/0.39  Sun Jul 10 23:44:08 2022
% 0.12/0.39  The command was "./sos".  The process ID is 8409.
% 0.12/0.39  
% 0.12/0.39  set(prolog_style_variables).
% 0.12/0.39  set(auto).
% 0.12/0.39     dependent: set(auto1).
% 0.12/0.39     dependent: set(process_input).
% 0.12/0.39     dependent: clear(print_kept).
% 0.12/0.39     dependent: clear(print_new_demod).
% 0.12/0.39     dependent: clear(print_back_demod).
% 0.12/0.39     dependent: clear(print_back_sub).
% 0.12/0.39     dependent: set(control_memory).
% 0.12/0.39     dependent: assign(max_mem, 12000).
% 0.12/0.39     dependent: assign(pick_given_ratio, 4).
% 0.12/0.39     dependent: assign(stats_level, 1).
% 0.12/0.39     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.39     dependent: assign(sos_limit, 5000).
% 0.12/0.39     dependent: assign(max_weight, 60).
% 0.12/0.39  clear(print_given).
% 0.12/0.39  
% 0.12/0.39  list(usable).
% 0.12/0.39  
% 0.12/0.39  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.12/0.39  
% 0.12/0.39  This ia a non-Horn set with equality.  The strategy will be
% 0.12/0.39  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.39  unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.39  clauses in usable.
% 0.12/0.39  
% 0.12/0.39     dependent: set(knuth_bendix).
% 0.12/0.39     dependent: set(para_from).
% 0.12/0.39     dependent: set(para_into).
% 0.12/0.39     dependent: clear(para_from_right).
% 0.12/0.39     dependent: clear(para_into_right).
% 0.12/0.39     dependent: set(para_from_vars).
% 0.12/0.39     dependent: set(eq_units_both_ways).
% 0.12/0.39     dependent: set(dynamic_demod_all).
% 0.12/0.39     dependent: set(dynamic_demod).
% 0.12/0.39     dependent: set(order_eq).
% 0.12/0.39     dependent: set(back_demod).
% 0.12/0.39     dependent: set(lrpo).
% 0.12/0.39     dependent: set(hyper_res).
% 0.12/0.39     dependent: set(unit_deletion).
% 0.12/0.39     dependent: set(factor).
% 0.12/0.39  
% 0.12/0.39  ------------> process usable:
% 0.12/0.39  
% 0.12/0.39  ------------> process sos:
% 0.12/0.39    Following clause subsumed by 248 during input processing: 0 [copy,248,flip.1] {-} A=A.
% 0.12/0.39  248 back subsumes 172.
% 0.12/0.39  248 back subsumes 135.
% 0.12/0.39  
% 0.12/0.39  ======= end of input processing =======
% 0.19/0.56  
% 0.19/0.56  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.56  
% 0.19/0.56  Stopped by limit on number of solutions
% 0.19/0.56  
% 0.19/0.56  
% 0.19/0.56  -------------- Softie stats --------------
% 0.19/0.56  
% 0.19/0.56  UPDATE_STOP: 300
% 0.19/0.56  SFINDER_TIME_LIMIT: 2
% 0.19/0.56  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.56  number of clauses in intial UL: 109
% 0.19/0.56  number of clauses initially in problem: 221
% 0.19/0.56  percentage of clauses intially in UL: 49
% 0.19/0.56  percentage of distinct symbols occuring in initial UL: 86
% 0.19/0.56  percent of all initial clauses that are short: 100
% 0.19/0.56  absolute distinct symbol count: 75
% 0.19/0.56     distinct predicate count: 14
% 0.19/0.56     distinct function count: 53
% 0.19/0.56     distinct constant count: 8
% 0.19/0.56  
% 0.19/0.56  ---------- no more Softie stats ----------
% 0.19/0.56  
% 0.19/0.56  
% 0.19/0.56  
% 0.19/0.56  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.56  
% 0.19/0.56  Stopped by limit on number of solutions
% 0.19/0.56  
% 0.19/0.56  =========== start of search ===========
% 10.01/10.25  
% 10.01/10.25  -------- PROOF -------- 
% 10.01/10.25  % SZS status Unsatisfiable
% 10.01/10.25  % SZS output start Refutation
% 10.01/10.25  
% 10.01/10.25  Model 3 (0.00 seconds, 0 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on number of solutions
% 10.01/10.25  
% 10.01/10.25  Model 4 (0.00 seconds, 0 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on number of solutions
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 5 [ 1 5 28339 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 6 [ 4 1 1372 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 7 [ 7 1 1386 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 8 [ 5 2 3490 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 9 [ 3 2 8337 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 10 [ 11 3 18928 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 11 [ 10 1 1378 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 12 [ 12 1 1375 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 13 [ 12 4 19353 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 14 [ 14 1 1583 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 15 [ 11 4 11998 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 16 [ 13 8 38365 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 17 [ 13 6 26026 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 18 [ 15 2 2818 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 19 [ 16 7 30955 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 20 [ 14 1 1381 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 21 [ 14 3 13063 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 22 [ 14 5 25557 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 23 [ 20 3 17849 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 24 [ 21 1 2952 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 25 [ 17 9 49884 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 26 [ 17 1 1388 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 27 [ 22 3 13781 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 28 [ 18 2 7108 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 29 [ 23 6 29341 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 30 [ 20 8 31914 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 31 [ 28 13 69282 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 32 [ 23 5 20820 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 33 [ 33 4 21383 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 34 [ 30 7 32850 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 35 [ 33 3 8564 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 36 [ 27 3 8846 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 37 [ 31 7 34606 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  Stopped by limit on insertions
% 10.01/10.25  
% 10.01/10.25  Model 38 [ 24 1 1366 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  ----> UNIT CONFLICT at   9.85 sec ----> 1883 [binary,1881.1,134.1] {+} $F.
% 10.01/10.25  
% 10.01/10.25  Length of proof is 6.  Level of proof is 3.
% 10.01/10.25  
% 10.01/10.25  ---------------- PROOF ----------------
% 10.01/10.25  % SZS status Unsatisfiable
% 10.01/10.25  % SZS output start Refutation
% 10.01/10.25  
% 10.01/10.25  2 [] {+} -member(f1(A,B),A)| -member(f1(A,B),B)|A=B.
% 10.01/10.25  64 [] {+} -subset(A,B)| -member(C,A)|member(C,B).
% 10.01/10.25  133 [] {-} a!=b.
% 10.01/10.25  134 [copy,133,flip.1] {+} b!=a.
% 10.01/10.25  212 [] {-} member(f1(A,B),A)|member(f1(A,B),B)|A=B.
% 10.01/10.25  246 [] {+} subset(b,a).
% 10.01/10.25  247 [] {+} subset(a,b).
% 10.01/10.25  844 [hyper,247,64,212] {-} member(f1(A,a),b)|member(f1(A,a),A)|A=a.
% 10.01/10.25  846 [factor,844.1.2,unit_del,134] {+} member(f1(b,a),b).
% 10.01/10.25  868 [hyper,246,64,212] {+} member(f1(b,A),a)|member(f1(b,A),A)|b=A.
% 10.01/10.25  870 [factor,868.1.2,unit_del,134] {+} member(f1(b,a),a).
% 10.01/10.25  1881 [hyper,870,2,846] {-} b=a.
% 10.01/10.25  1883 [binary,1881.1,134.1] {+} $F.
% 10.01/10.25  
% 10.01/10.25  % SZS output end Refutation
% 10.01/10.25  ------------ end of proof -------------
% 10.01/10.25  
% 10.01/10.25  
% 10.01/10.25  Search stopped by max_proofs option.
% 10.01/10.25  
% 10.01/10.25  
% 10.01/10.25  Search stopped by max_proofs option.
% 10.01/10.25  
% 10.01/10.25  ============ end of search ============
% 10.01/10.25  
% 10.01/10.25  ----------- soft-scott stats ----------
% 10.01/10.25  
% 10.01/10.25  true clauses given           5      (10.0%)
% 10.01/10.25  false clauses given         45
% 10.01/10.25  
% 10.01/10.25        FALSE     TRUE
% 10.01/10.25     4  0         8
% 10.01/10.25     5  7         37
% 10.01/10.25     6  16        20
% 10.01/10.25     7  21        43
% 10.01/10.25     8  30        70
% 10.01/10.25     9  34        97
% 10.01/10.25    10  12        53
% 10.01/10.25    11  11        75
% 10.01/10.25    12  35        103
% 10.01/10.25    13  31        110
% 10.01/10.25    14  21        72
% 10.01/10.25    15  37        42
% 10.01/10.25    16  17        40
% 10.01/10.25    17  45        19
% 10.01/10.25    18  30        19
% 10.01/10.25    19  22        13
% 10.01/10.25    20  13        28
% 10.01/10.25    21  20        24
% 10.01/10.25    22  18        34
% 10.01/10.25    23  13        16
% 10.01/10.25    24  11        22
% 10.01/10.25    25  3         8
% 10.01/10.25    26  9         16
% 10.01/10.25    27  13        23
% 10.01/10.25    28  5         13
% 10.01/10.25    29  1         8
% 10.01/10.25    30  0         6
% 10.01/10.25    31  0         4
% 10.01/10.25    32  0         4
% 10.01/10.25    33  5         5
% 10.01/10.25    34  0         2
% 10.01/10.25    36  2         7
% 10.01/10.25    37  1         1
% 10.01/10.25    38  14        7
% 10.01/10.25    40  12        2
% 10.01/10.25    41  0         2
% 10.01/10.25    42  2         0
% 10.01/10.25    43  0         1
% 10.01/10.25    44  0         3
% 10.01/10.25    45  1         3
% 10.01/10.25    47  0         1
% 10.01/10.25    52  0         4
% 10.01/10.25    55  0         4
% 10.01/10.25    56  0         1
% 10.01/10.25  tot:  512       1070      (67.6% true)
% 10.01/10.25  
% 10.01/10.25  
% 10.01/10.25  Model 38 [ 24 1 1366 ] (0.00 seconds, 250000 Inserts)
% 10.01/10.25  
% 10.01/10.25  That finishes the proof of the theorem.
% 10.01/10.25  
% 10.01/10.25  Process 8409 finished Sun Jul 10 23:44:18 2022
%------------------------------------------------------------------------------