TSTP Solution File: FLD069-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : FLD069-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n021.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 : Sat Jul 16 02:27:59 EDT 2022

% Result   : Unsatisfiable 4.56s 4.75s
% Output   : Refutation 4.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : FLD069-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n021.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 : Mon Jun  6 20:26:35 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  ----- Otter 3.2, August 2001 -----
% 0.13/0.36  The process was started by sandbox2 on n021.cluster.edu,
% 0.13/0.36  Mon Jun  6 20:26:35 2022
% 0.13/0.36  The command was "./sos".  The process ID is 14567.
% 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=0, symmetry=0, max_lits=5.
% 0.13/0.36  
% 0.13/0.36  This is a non-Horn set without equality.  The strategy
% 0.13/0.36  will be ordered hyper_res, ur_res, unit deletion, and
% 0.13/0.36  factoring, with satellites in sos and nuclei in usable.
% 0.13/0.36  
% 0.13/0.36     dependent: set(hyper_res).
% 0.13/0.36     dependent: set(factor).
% 0.13/0.36     dependent: set(unit_deletion).
% 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 =======
% 0.19/0.45  
% 0.19/0.45  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.45  
% 0.19/0.45  Stopped by limit on number of solutions
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  -------------- Softie stats --------------
% 0.19/0.45  
% 0.19/0.45  UPDATE_STOP: 300
% 0.19/0.45  SFINDER_TIME_LIMIT: 2
% 0.19/0.45  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.45  number of clauses in intial UL: 48
% 0.19/0.45  number of clauses initially in problem: 55
% 0.19/0.45  percentage of clauses intially in UL: 87
% 0.19/0.45  percentage of distinct symbols occuring in initial UL: 91
% 0.19/0.45  percent of all initial clauses that are short: 100
% 0.19/0.45  absolute distinct symbol count: 12
% 0.19/0.45     distinct predicate count: 4
% 0.19/0.45     distinct function count: 4
% 0.19/0.45     distinct constant count: 4
% 0.19/0.45  
% 0.19/0.45  ---------- no more Softie stats ----------
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.45  
% 0.19/0.45  Stopped by limit on number of solutions
% 0.19/0.45  
% 0.19/0.45  =========== start of search ===========
% 4.56/4.75  
% 4.56/4.75  -------- PROOF -------- 
% 4.56/4.75  % SZS status Unsatisfiable
% 4.56/4.75  % SZS output start Refutation
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 3 [ 1 1 172 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 4 [ 2 2 663 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 5 [ 2 1 418 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 6 [ 5 1 321 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 7 [ 3 2 16644 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 8 [ 4 1 140 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 9 [ 3 1 167 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 10 [ 4 1 244 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 11 [ 3 1 215 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 12 [ 3 1 432 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 13 [ 5 2 10371 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 14 [ 4 2 138 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 15 [ 6 1 10779 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 16 [ 4 1 269 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 17 [ 6 1 170 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 18 [ 16 1 188 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 19 [ 4 3 63624 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 20 [ 6 2 619 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 21 [ 5 1 148 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 22 [ 21 1 104 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 23 [ 5 4 48213 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 24 [ 7 2 27787 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 25 [ 4 2 212 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 26 [ 22 1 169 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 27 [ 21 1 280 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 28 [ 8 2 111 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 29 [ 20 1 146 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 30 [ 8 2 16819 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 31 [ 9 1 183 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 32 [ 26 1 191 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 33 [ 10 4 63527 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  Stopped by limit on insertions
% 4.56/4.75  
% 4.56/4.75  Model 34 [ 29 1 2455 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  ----> UNIT CONFLICT at   4.36 sec ----> 2212 [binary,2211.1,25.1] {+} $F.
% 4.56/4.75  
% 4.56/4.75  Length of proof is 3.  Level of proof is 3.
% 4.56/4.75  
% 4.56/4.75  ---------------- PROOF ----------------
% 4.56/4.75  % SZS status Unsatisfiable
% 4.56/4.75  % SZS output start Refutation
% 4.56/4.75  
% 4.56/4.75  3 [] {+} sum(additive_identity,A,A)| -defined(A).
% 4.56/4.75  19 [] {+} sum(additive_identity,A,B)| -less_or_equal(A,B)| -less_or_equal(B,A).
% 4.56/4.75  22 [] {+} less_or_equal(A,B)| -less_or_equal(C,D)| -sum(C,E,A)| -sum(D,E,B).
% 4.56/4.75  25 [] {+} -sum(additive_identity,b,additive_identity).
% 4.56/4.75  52 [] {-} defined(b).
% 4.56/4.75  53 [] {+} less_or_equal(additive_identity,a).
% 4.56/4.75  54 [] {+} less_or_equal(additive_identity,b).
% 4.56/4.75  55 [] {+} sum(a,b,additive_identity).
% 4.56/4.75  151 [hyper,52,3] {+} sum(additive_identity,b,b).
% 4.56/4.75  2010 [hyper,151,22,53,55] {+} less_or_equal(b,additive_identity).
% 4.56/4.75  2211 [hyper,2010,19,54] {-} sum(additive_identity,b,additive_identity).
% 4.56/4.75  2212 [binary,2211.1,25.1] {+} $F.
% 4.56/4.75  
% 4.56/4.75  % SZS output end Refutation
% 4.56/4.75  ------------ end of proof -------------
% 4.56/4.75  
% 4.56/4.75  
% 4.56/4.75  Search stopped by max_proofs option.
% 4.56/4.75  
% 4.56/4.75  
% 4.56/4.75  Search stopped by max_proofs option.
% 4.56/4.75  
% 4.56/4.75  ============ end of search ============
% 4.56/4.75  
% 4.56/4.75  ----------- soft-scott stats ----------
% 4.56/4.75  
% 4.56/4.75  true clauses given           8      (18.6%)
% 4.56/4.75  false clauses given         35
% 4.56/4.75  
% 4.56/4.75        FALSE     TRUE
% 4.56/4.75     4  30        1
% 4.56/4.75     5  102       6
% 4.56/4.75     6  276       19
% 4.56/4.75     7  254       8
% 4.56/4.75     8  381       35
% 4.56/4.75     9  12        7
% 4.56/4.75    10  218       81
% 4.56/4.75    11  7         4
% 4.56/4.75    12  212       92
% 4.56/4.75    14  247       107
% 4.56/4.75    15  7         4
% 4.56/4.75  tot:  1746      364      (17.3% true)
% 4.56/4.75  
% 4.56/4.75  
% 4.56/4.75  Model 34 [ 29 1 2455 ] (0.00 seconds, 250000 Inserts)
% 4.56/4.75  
% 4.56/4.75  That finishes the proof of the theorem.
% 4.56/4.75  
% 4.56/4.75  Process 14567 finished Mon Jun  6 20:26:40 2022
%------------------------------------------------------------------------------