TSTP Solution File: SET024-4 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET024-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n004.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 05:14:28 EDT 2022

% Result   : Unsatisfiable 4.73s 4.93s
% Output   : Refutation 4.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET024-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n004.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 : Sat Jul  9 20:14:22 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.38  ----- Otter 3.2, August 2001 -----
% 0.12/0.38  The process was started by sandbox2 on n004.cluster.edu,
% 0.12/0.38  Sat Jul  9 20:14:22 2022
% 0.12/0.38  The command was "./sos".  The process ID is 27850.
% 0.12/0.38  
% 0.12/0.38  set(prolog_style_variables).
% 0.12/0.38  set(auto).
% 0.12/0.38     dependent: set(auto1).
% 0.12/0.38     dependent: set(process_input).
% 0.12/0.38     dependent: clear(print_kept).
% 0.12/0.38     dependent: clear(print_new_demod).
% 0.12/0.38     dependent: clear(print_back_demod).
% 0.12/0.38     dependent: clear(print_back_sub).
% 0.12/0.38     dependent: set(control_memory).
% 0.12/0.38     dependent: assign(max_mem, 12000).
% 0.12/0.38     dependent: assign(pick_given_ratio, 4).
% 0.12/0.38     dependent: assign(stats_level, 1).
% 0.12/0.38     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.38     dependent: assign(sos_limit, 5000).
% 0.12/0.38     dependent: assign(max_weight, 60).
% 0.12/0.38  clear(print_given).
% 0.12/0.38  
% 0.12/0.38  list(usable).
% 0.12/0.38  
% 0.12/0.38  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.12/0.38  
% 0.12/0.38  This ia a non-Horn set with equality.  The strategy will be
% 0.12/0.38  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.38  unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.38  clauses in usable.
% 0.12/0.38  
% 0.12/0.38     dependent: set(knuth_bendix).
% 0.12/0.38     dependent: set(para_from).
% 0.12/0.38     dependent: set(para_into).
% 0.12/0.38     dependent: clear(para_from_right).
% 0.12/0.38     dependent: clear(para_into_right).
% 0.12/0.38     dependent: set(para_from_vars).
% 0.12/0.38     dependent: set(eq_units_both_ways).
% 0.12/0.38     dependent: set(dynamic_demod_all).
% 0.12/0.38     dependent: set(dynamic_demod).
% 0.12/0.38     dependent: set(order_eq).
% 0.12/0.38     dependent: set(back_demod).
% 0.12/0.38     dependent: set(lrpo).
% 0.12/0.38     dependent: set(hyper_res).
% 0.12/0.38     dependent: set(unit_deletion).
% 0.12/0.38     dependent: set(factor).
% 0.12/0.38  
% 0.12/0.38  ------------> process usable:
% 0.12/0.38  
% 0.12/0.38  ------------> process sos:
% 0.12/0.38    Following clause subsumed by 229 during input processing: 0 [copy,229,flip.1] {-} A=A.
% 0.12/0.38  229 back subsumes 131.
% 0.12/0.38  
% 0.12/0.38  ======= end of input processing =======
% 0.19/0.52  
% 0.19/0.52  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.52  
% 0.19/0.52  Stopped by limit on number of solutions
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  -------------- Softie stats --------------
% 0.19/0.52  
% 0.19/0.52  UPDATE_STOP: 300
% 0.19/0.52  SFINDER_TIME_LIMIT: 2
% 0.19/0.52  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.52  number of clauses in intial UL: 107
% 0.19/0.52  number of clauses initially in problem: 209
% 0.19/0.52  percentage of clauses intially in UL: 51
% 0.19/0.52  percentage of distinct symbols occuring in initial UL: 85
% 0.19/0.52  percent of all initial clauses that are short: 100
% 0.19/0.52  absolute distinct symbol count: 74
% 0.19/0.52     distinct predicate count: 14
% 0.19/0.52     distinct function count: 53
% 0.19/0.52     distinct constant count: 7
% 0.19/0.52  
% 0.19/0.52  ---------- no more Softie stats ----------
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.52  
% 0.19/0.52  Stopped by limit on number of solutions
% 0.19/0.52  
% 0.19/0.52  =========== start of search ===========
% 4.73/4.93  
% 4.73/4.93  -------- PROOF -------- 
% 4.73/4.93  % SZS status Unsatisfiable
% 4.73/4.93  % SZS output start Refutation
% 4.73/4.93  
% 4.73/4.93  Model 3 (0.00 seconds, 0 Inserts)
% 4.73/4.93  
% 4.73/4.93  Stopped by limit on number of solutions
% 4.73/4.93  
% 4.73/4.93  Model 4 (0.00 seconds, 0 Inserts)
% 4.73/4.93  
% 4.73/4.93  Stopped by limit on number of solutions
% 4.73/4.93  
% 4.73/4.93  Model 5 (0.00 seconds, 0 Inserts)
% 4.73/4.93  
% 4.73/4.93  Stopped by limit on number of solutions
% 4.73/4.93  
% 4.73/4.93  Stopped by limit on insertions
% 4.73/4.93  
% 4.73/4.93  Model 6 [ 3 2 6086 ] (0.00 seconds, 250000 Inserts)
% 4.73/4.93  
% 4.73/4.93  Stopped by limit on insertions
% 4.73/4.93  
% 4.73/4.93  Model 7 [ 3 1 1370 ] (0.00 seconds, 250000 Inserts)
% 4.73/4.93  
% 4.73/4.93  Stopped by limit on insertions
% 4.73/4.93  
% 4.73/4.93  Model 8 [ 4 3 8719 ] (0.00 seconds, 250000 Inserts)
% 4.73/4.93  
% 4.73/4.93  Stopped by limit on insertions
% 4.73/4.93  
% 4.73/4.93  Model 9 [ 8 5 14201 ] (0.00 seconds, 250000 Inserts)
% 4.73/4.93  
% 4.73/4.93  Stopped by limit on insertions
% 4.73/4.93  
% 4.73/4.93  Model 10 [ 10 3 12467 ] (0.00 seconds, 250000 Inserts)
% 4.73/4.93  
% 4.73/4.93  Stopped by limit on insertions
% 4.73/4.93  
% 4.73/4.93  Model 11 [ 9 3 8718 ] (0.00 seconds, 250000 Inserts)
% 4.73/4.93  
% 4.73/4.93  Stopped by limit on insertions
% 4.73/4.93  
% 4.73/4.93  Model 12 [ 11 1 1368 ] (0.00 seconds, 250000 Inserts)
% 4.73/4.93  
% 4.73/4.93  Stopped by limit on insertions
% 4.73/4.93  
% 4.73/4.93  Model 13 [ 9 3 8759 ] (0.00 seconds, 250000 Inserts)
% 4.73/4.93  
% 4.73/4.93  Stopped by limit on insertions
% 4.73/4.93  
% 4.73/4.93  Stopped by limit on insertions
% 4.73/4.93  
% 4.73/4.93  Model 14 [ 12 3 6377 ] (0.00 seconds, 250000 Inserts)
% 4.73/4.93  
% 4.73/4.93  Stopped by limit on insertions
% 4.73/4.93  
% 4.73/4.93  Model 15 [ 13 1 4301 ] (0.00 seconds, 250000 Inserts)
% 4.73/4.93  
% 4.73/4.93  Stopped by limit on insertions
% 4.73/4.93  
% 4.73/4.93  Model 16 [ 13 1 1364 ] (0.00 seconds, 250000 Inserts)
% 4.73/4.93  
% 4.73/4.93  Stopped by limit on insertions
% 4.73/4.93  
% 4.73/4.93  Model 17 [ 12 4 15938 ] (0.00 seconds, 250000 Inserts)
% 4.73/4.93  
% 4.73/4.93  ----> UNIT CONFLICT at   4.53 sec ----> 1146 [binary,1145.1,230.1] {-} $F.
% 4.73/4.93  
% 4.73/4.93  Length of proof is 2.  Level of proof is 1.
% 4.73/4.93  
% 4.73/4.93  ---------------- PROOF ----------------
% 4.73/4.93  % SZS status Unsatisfiable
% 4.73/4.93  % SZS output start Refutation
% 4.73/4.93  
% 4.73/4.93  5 [] {+} member(A,non_ordered_pair(B,C))| -little_set(A)|A!=C.
% 4.73/4.93  130 [] {-} -member(a,singleton_set(a)).
% 4.73/4.93  197,196 [] {+} singleton_set(A)=non_ordered_pair(A,A).
% 4.73/4.93  228 [] {+} little_set(a).
% 4.73/4.93  229 [] {+} A=A.
% 4.73/4.93  230 [back_demod,130,demod,197] {+} -member(a,non_ordered_pair(a,a)).
% 4.73/4.93  1145 [hyper,229,5,228] {-} member(a,non_ordered_pair(A,a)).
% 4.73/4.93  1146 [binary,1145.1,230.1] {-} $F.
% 4.73/4.93  
% 4.73/4.93  % SZS output end Refutation
% 4.73/4.93  ------------ end of proof -------------
% 4.73/4.93  
% 4.73/4.93  
% 4.73/4.93  Search stopped by max_proofs option.
% 4.73/4.93  
% 4.73/4.93  
% 4.73/4.93  Search stopped by max_proofs option.
% 4.73/4.93  
% 4.73/4.93  ============ end of search ============
% 4.73/4.93  
% 4.73/4.93  ----------- soft-scott stats ----------
% 4.73/4.93  
% 4.73/4.93  true clauses given           5      (20.0%)
% 4.73/4.93  false clauses given         20
% 4.73/4.93  
% 4.73/4.93        FALSE     TRUE
% 4.73/4.93     3  0         5
% 4.73/4.93     4  2         7
% 4.73/4.93     5  7         16
% 4.73/4.93     6  3         12
% 4.73/4.93     7  6         21
% 4.73/4.93     8  15        35
% 4.73/4.93     9  14        36
% 4.73/4.93    10  7         29
% 4.73/4.93    11  8         33
% 4.73/4.93    12  15        71
% 4.73/4.93    13  17        39
% 4.73/4.93    14  12        39
% 4.73/4.93    15  11        24
% 4.73/4.93    16  5         24
% 4.73/4.93    17  31        19
% 4.73/4.93    18  13        13
% 4.73/4.93    19  8         11
% 4.73/4.93    20  6         22
% 4.73/4.93    21  17        24
% 4.73/4.93    22  5         29
% 4.73/4.93    23  16        7
% 4.73/4.93    24  1         14
% 4.73/4.93    25  1         7
% 4.73/4.93    26  6         12
% 4.73/4.93    27  8         12
% 4.73/4.93    28  5         10
% 4.73/4.93    29  0         8
% 4.73/4.93    30  2         4
% 4.73/4.93    31  0         3
% 4.73/4.93    32  0         4
% 4.73/4.93    33  0         4
% 4.73/4.93    34  1         1
% 4.73/4.93    36  9         0
% 4.73/4.93    37  1         1
% 4.73/4.93    38  20        1
% 4.73/4.93    40  13        1
% 4.73/4.93    41  0         2
% 4.73/4.93    42  2         0
% 4.73/4.93    43  0         1
% 4.73/4.93    44  0         3
% 4.73/4.93    45  0         2
% 4.73/4.93    47  0         1
% 4.73/4.93    52  0         4
% 4.73/4.93    55  0         4
% 4.73/4.93    56  0         1
% 4.73/4.93  tot:  287       616      (68.2% true)
% 4.73/4.93  
% 4.73/4.93  
% 4.73/4.93  Model 17 [ 12 4 15938 ] (0.00 seconds, 250000 Inserts)
% 4.73/4.93  
% 4.73/4.93  That finishes the proof of the theorem.
% 4.73/4.93  
% 4.73/4.93  Process 27850 finished Sat Jul  9 20:14:27 2022
%------------------------------------------------------------------------------