TSTP Solution File: SET060-6 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET060-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 05:15:04 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
% 0.07/0.13  % Problem  : SET060-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jul 11 03:05:52 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.38  ----- Otter 3.2, August 2001 -----
% 0.14/0.38  The process was started by sandbox on n004.cluster.edu,
% 0.14/0.38  Mon Jul 11 03:05:52 2022
% 0.14/0.38  The command was "./sos".  The process ID is 25076.
% 0.14/0.38  
% 0.14/0.38  set(prolog_style_variables).
% 0.14/0.38  set(auto).
% 0.14/0.38     dependent: set(auto1).
% 0.14/0.38     dependent: set(process_input).
% 0.14/0.38     dependent: clear(print_kept).
% 0.14/0.38     dependent: clear(print_new_demod).
% 0.14/0.38     dependent: clear(print_back_demod).
% 0.14/0.38     dependent: clear(print_back_sub).
% 0.14/0.38     dependent: set(control_memory).
% 0.14/0.38     dependent: assign(max_mem, 12000).
% 0.14/0.38     dependent: assign(pick_given_ratio, 4).
% 0.14/0.38     dependent: assign(stats_level, 1).
% 0.14/0.38     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.38     dependent: assign(sos_limit, 5000).
% 0.14/0.38     dependent: assign(max_weight, 60).
% 0.14/0.38  clear(print_given).
% 0.14/0.38  
% 0.14/0.38  list(usable).
% 0.14/0.38  
% 0.14/0.38  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.14/0.38  
% 0.14/0.38  This ia a non-Horn set with equality.  The strategy will be
% 0.14/0.38  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.14/0.38  unit deletion, with positive clauses in sos and nonpositive
% 0.14/0.38  clauses in usable.
% 0.14/0.38  
% 0.14/0.38     dependent: set(knuth_bendix).
% 0.14/0.38     dependent: set(para_from).
% 0.14/0.38     dependent: set(para_into).
% 0.14/0.38     dependent: clear(para_from_right).
% 0.14/0.38     dependent: clear(para_into_right).
% 0.14/0.38     dependent: set(para_from_vars).
% 0.14/0.38     dependent: set(eq_units_both_ways).
% 0.14/0.38     dependent: set(dynamic_demod_all).
% 0.14/0.38     dependent: set(dynamic_demod).
% 0.14/0.38     dependent: set(order_eq).
% 0.14/0.38     dependent: set(back_demod).
% 0.14/0.38     dependent: set(lrpo).
% 0.14/0.38     dependent: set(hyper_res).
% 0.14/0.38     dependent: set(unit_deletion).
% 0.14/0.38     dependent: set(factor).
% 0.14/0.38  
% 0.14/0.38  ------------> process usable:
% 0.14/0.38  
% 0.14/0.38  ------------> process sos:
% 0.14/0.38    Following clause subsumed by 135 during input processing: 0 [copy,135,flip.1] {-} A=A.
% 0.14/0.38  135 back subsumes 60.
% 0.14/0.38  
% 0.14/0.38  ======= end of input processing =======
% 0.59/0.81  
% 0.59/0.81  Model 1 (0.00 seconds, 0 Inserts)
% 0.59/0.81  
% 0.59/0.81  Stopped by limit on number of solutions
% 0.59/0.81  
% 0.59/0.81  
% 0.59/0.81  -------------- Softie stats --------------
% 0.59/0.81  
% 0.59/0.81  UPDATE_STOP: 300
% 0.59/0.81  SFINDER_TIME_LIMIT: 2
% 0.59/0.81  SHORT_CLAUSE_CUTOFF: 4
% 0.59/0.81  number of clauses in intial UL: 48
% 0.59/0.81  number of clauses initially in problem: 119
% 0.59/0.81  percentage of clauses intially in UL: 40
% 0.59/0.81  percentage of distinct symbols occuring in initial UL: 60
% 0.59/0.81  percent of all initial clauses that are short: 100
% 0.59/0.81  absolute distinct symbol count: 50
% 0.59/0.81     distinct predicate count: 10
% 0.59/0.81     distinct function count: 30
% 0.59/0.81     distinct constant count: 10
% 0.59/0.81  
% 0.59/0.81  ---------- no more Softie stats ----------
% 0.59/0.81  
% 0.59/0.81  
% 0.59/0.81  
% 0.59/0.81  Stopped by limit on insertions
% 0.59/0.81  
% 0.59/0.81  =========== 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  Stopped by limit on insertions
% 3.41/3.61  
% 3.41/3.61  Model 2 [ 1 2 10806 ] (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 3 [ 3 1 8094 ] (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  Stopped by limit on insertions
% 3.41/3.61  
% 3.41/3.61  Model 4 [ 2 1 5416 ] (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 5 [ 14 2 20791 ] (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 6 [ 9 1 9911 ] (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  Stopped by limit on insertions
% 3.41/3.61  
% 3.41/3.61  Stopped by limit on insertions
% 3.41/3.61  
% 3.41/3.61  Stopped by limit on insertions
% 3.41/3.61  
% 3.41/3.61  Stopped by limit on insertions
% 3.41/3.61  
% 3.41/3.61  Stopped by limit on insertions
% 3.41/3.61  
% 3.41/3.61  Model 7 [ 20 1 5627 ] (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 [ 18 1 7484 ] (0.00 seconds, 250000 Inserts)
% 3.41/3.61  
% 3.41/3.61  -----> EMPTY CLAUSE at   3.21 sec ----> 589 [hyper,485,18,484] {-} $F.
% 3.41/3.61  
% 3.41/3.61  Length of proof is 2.  Level of proof is 1.
% 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  15 [] {+} -member(A,intersection(B,C))|member(A,B).
% 3.41/3.61  16 [] {+} -member(A,intersection(B,C))|member(A,C).
% 3.41/3.61  18 [] {+} -member(A,complement(B))| -member(A,B).
% 3.41/3.61  134 [] {-} member(y,intersection(complement(x),x)).
% 3.41/3.61  484 [hyper,134,16] {+} member(y,x).
% 3.41/3.61  485 [hyper,134,15] {+} member(y,complement(x)).
% 3.41/3.61  589 [hyper,485,18,484] {-} $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           4      (18.2%)
% 3.41/3.61  false clauses given         18
% 3.41/3.61  
% 3.41/3.61        FALSE     TRUE
% 3.41/3.61     3  0         1
% 3.41/3.61     5  10        2
% 3.41/3.61     6  1         2
% 3.41/3.61     7  23        14
% 3.41/3.61     8  16        22
% 3.41/3.61     9  52        21
% 3.41/3.61    10  18        33
% 3.41/3.61    11  31        48
% 3.41/3.61    12  17        9
% 3.41/3.61    13  6         46
% 3.41/3.61    14  9         8
% 3.41/3.61    15  2         16
% 3.41/3.61    16  3         2
% 3.41/3.61    17  2         8
% 3.41/3.61    18  3         2
% 3.41/3.61    19  0         1
% 3.41/3.61    20  2         2
% 3.41/3.61    21  4         0
% 3.41/3.61    22  2         0
% 3.41/3.61    23  7         0
% 3.41/3.61    24  1         0
% 3.41/3.61    25  2         0
% 3.41/3.61    27  1         0
% 3.41/3.61    28  0         2
% 3.41/3.61  tot:  212       239      (53.0% true)
% 3.41/3.61  
% 3.41/3.61  
% 3.41/3.61  Model 8 [ 18 1 7484 ] (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 25076 finished Mon Jul 11 03:05:55 2022
%------------------------------------------------------------------------------