TSTP Solution File: SET009-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET009-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n014.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 05:14:02 EDT 2022

% Result   : Unsatisfiable 0.60s 0.78s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n014.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 08:08:20 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 sandbox2 on n014.cluster.edu,
% 0.13/0.36  Sun Jul 10 08:08:20 2022
% 0.13/0.36  The command was "./sos".  The process ID is 11166.
% 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=4.
% 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  
% 0.13/0.36  ======= end of input processing =======
% 0.20/0.40  
% 0.20/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.40  
% 0.20/0.40  Stopped by limit on number of solutions
% 0.20/0.40  
% 0.20/0.40  
% 0.20/0.40  -------------- Softie stats --------------
% 0.20/0.40  
% 0.20/0.40  UPDATE_STOP: 300
% 0.20/0.40  SFINDER_TIME_LIMIT: 2
% 0.20/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.40  number of clauses in intial UL: 15
% 0.20/0.40  number of clauses initially in problem: 21
% 0.20/0.40  percentage of clauses intially in UL: 71
% 0.20/0.40  percentage of distinct symbols occuring in initial UL: 72
% 0.20/0.40  percent of all initial clauses that are short: 100
% 0.20/0.40  absolute distinct symbol count: 11
% 0.20/0.40     distinct predicate count: 4
% 0.20/0.40     distinct function count: 2
% 0.20/0.40     distinct constant count: 5
% 0.20/0.40  
% 0.20/0.40  ---------- no more Softie stats ----------
% 0.20/0.40  
% 0.20/0.40  
% 0.20/0.40  
% 0.20/0.40  Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.40  
% 0.20/0.40  Stopped by limit on number of solutions
% 0.20/0.40  
% 0.20/0.40  =========== start of search ===========
% 0.60/0.78  
% 0.60/0.78  -------- PROOF -------- 
% 0.60/0.78  % SZS status Unsatisfiable
% 0.60/0.78  % SZS output start Refutation
% 0.60/0.78  
% 0.60/0.78  Model 3 (0.00 seconds, 0 Inserts)
% 0.60/0.78  
% 0.60/0.78  Stopped by limit on number of solutions
% 0.60/0.78  
% 0.60/0.78  Model 4 (0.00 seconds, 0 Inserts)
% 0.60/0.78  
% 0.60/0.78  Stopped by limit on number of solutions
% 0.60/0.78  
% 0.60/0.78  Stopped by limit on insertions
% 0.60/0.78  
% 0.60/0.78  Model 5 [ 2 0 157 ] (0.00 seconds, 250000 Inserts)
% 0.60/0.78  
% 0.60/0.78  Stopped by limit on insertions
% 0.60/0.78  
% 0.60/0.78  Model 6 [ 3 1 110 ] (0.00 seconds, 250000 Inserts)
% 0.60/0.78  
% 0.60/0.78  Stopped by limit on insertions
% 0.60/0.78  
% 0.60/0.78  Model 7 [ 5 1 1251 ] (0.00 seconds, 250000 Inserts)
% 0.60/0.78  
% 0.60/0.78  Stopped by limit on insertions
% 0.60/0.78  
% 0.60/0.78  Model 8 [ 3 0 118 ] (0.00 seconds, 250000 Inserts)
% 0.60/0.78  
% 0.60/0.78  -----> EMPTY CLAUSE at   0.39 sec ----> 308 [hyper,297,7,23,19] {-} $F.
% 0.60/0.78  
% 0.60/0.78  Length of proof is 5.  Level of proof is 5.
% 0.60/0.78  
% 0.60/0.78  ---------------- PROOF ----------------
% 0.60/0.78  % SZS status Unsatisfiable
% 0.60/0.78  % SZS output start Refutation
% 0.60/0.78  
% 0.60/0.78  1 [] {+} -member(A,B)| -subset(B,C)|member(A,C).
% 0.60/0.78  2 [] {+} -member(member_of_1_not_of_2(A,B),B)|subset(A,B).
% 0.60/0.78  6 [] {+} -difference(A,B,C)| -member(D,C)|member(D,A).
% 0.60/0.78  7 [] {+} -member(A,B)| -member(A,C)| -difference(D,B,C).
% 0.60/0.78  8 [] {+} -member(A,B)| -difference(B,C,D)|member(A,D)|member(A,C).
% 0.60/0.78  11 [] {+} -subset(bDa,bDd).
% 0.60/0.78  16 [] {+} subset(A,B)|member(member_of_1_not_of_2(A,B),A).
% 0.60/0.78  18 [] {+} subset(d,a).
% 0.60/0.78  19 [] {+} difference(b,a,bDa).
% 0.60/0.78  20 [] {+} difference(b,d,bDd).
% 0.60/0.78  23 [hyper,16,11] {+} member(member_of_1_not_of_2(bDa,bDd),bDa).
% 0.60/0.78  35 [hyper,23,6,19] {-} member(member_of_1_not_of_2(bDa,bDd),b).
% 0.60/0.78  72 [hyper,35,8,20] {-} member(member_of_1_not_of_2(bDa,bDd),bDd)|member(member_of_1_not_of_2(bDa,bDd),d).
% 0.60/0.78  293 [hyper,72,2,unit_del,11] {-} member(member_of_1_not_of_2(bDa,bDd),d).
% 0.60/0.78  297 [hyper,293,1,18] {-} member(member_of_1_not_of_2(bDa,bDd),a).
% 0.60/0.78  308 [hyper,297,7,23,19] {-} $F.
% 0.60/0.78  
% 0.60/0.78  % SZS output end Refutation
% 0.60/0.78  ------------ end of proof -------------
% 0.60/0.78  
% 0.60/0.78  
% 0.60/0.78  Search stopped by max_proofs option.
% 0.60/0.78  
% 0.60/0.78  
% 0.60/0.78  Search stopped by max_proofs option.
% 0.60/0.78  
% 0.60/0.78  ============ end of search ============
% 0.60/0.78  
% 0.60/0.78  ----------- soft-scott stats ----------
% 0.60/0.78  
% 0.60/0.78  true clauses given           6      (20.0%)
% 0.60/0.78  false clauses given         24
% 0.60/0.78  
% 0.60/0.78        FALSE     TRUE
% 0.60/0.78     5  0         1
% 0.60/0.78     9  0         2
% 0.60/0.78    10  3         17
% 0.60/0.78    11  3         9
% 0.60/0.78    13  1         14
% 0.60/0.78    14  5         7
% 0.60/0.78    15  16        15
% 0.60/0.78    16  24        27
% 0.60/0.78    17  2         0
% 0.60/0.78    18  2         9
% 0.60/0.78    19  8         9
% 0.60/0.78    20  12        23
% 0.60/0.78    21  0         5
% 0.60/0.78    22  3         4
% 0.60/0.78    23  2         0
% 0.60/0.78    24  2         2
% 0.60/0.78    25  0         2
% 0.60/0.78    26  0         3
% 0.60/0.78    27  0         2
% 0.60/0.78    30  2         0
% 0.60/0.78    32  0         5
% 0.60/0.78    35  0         2
% 0.60/0.78    38  0         3
% 0.60/0.78  tot:  85        161      (65.4% true)
% 0.60/0.78  
% 0.60/0.78  
% 0.60/0.78  Model 8 [ 3 0 118 ] (0.00 seconds, 250000 Inserts)
% 0.60/0.78  
% 0.60/0.78  That finishes the proof of the theorem.
% 0.60/0.78  
% 0.60/0.78  Process 11166 finished Sun Jul 10 08:08:20 2022
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