TSTP Solution File: FLD065-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : FLD065-3 : 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 02:27:57 EDT 2022

% Result   : Unsatisfiable 3.63s 3.90s
% Output   : Refutation 3.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : FLD065-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13  % 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 : Tue Jun  7 00:57:51 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 n021.cluster.edu,
% 0.13/0.36  Tue Jun  7 00:57:51 2022
% 0.13/0.36  The command was "./sos".  The process ID is 12207.
% 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 =======
% 0.19/0.44  
% 0.19/0.44  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.44  
% 0.19/0.44  Stopped by limit on number of solutions
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  -------------- Softie stats --------------
% 0.19/0.44  
% 0.19/0.44  UPDATE_STOP: 300
% 0.19/0.44  SFINDER_TIME_LIMIT: 2
% 0.19/0.44  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.44  number of clauses in intial UL: 48
% 0.19/0.44  number of clauses initially in problem: 52
% 0.19/0.44  percentage of clauses intially in UL: 92
% 0.19/0.44  percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.44  percent of all initial clauses that are short: 100
% 0.19/0.44  absolute distinct symbol count: 11
% 0.19/0.44     distinct predicate count: 4
% 0.19/0.44     distinct function count: 4
% 0.19/0.44     distinct constant count: 3
% 0.19/0.44  
% 0.19/0.44  ---------- no more Softie stats ----------
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.44  
% 0.19/0.44  Stopped by limit on number of solutions
% 0.19/0.44  
% 0.19/0.44  =========== start of search ===========
% 3.63/3.90  
% 3.63/3.90  -------- PROOF -------- 
% 3.63/3.90  % SZS status Unsatisfiable
% 3.63/3.90  % SZS output start Refutation
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 3 [ 2 2 274 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 4 [ 2 2 514 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 5 [ 2 1 193 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 6 [ 2 2 1129 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 7 [ 2 1 1061 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 8 [ 4 1 208 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 9 [ 2 1 414 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 10 [ 2 2 460 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 11 [ 4 2 237 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 12 [ 2 11 194400 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 13 [ 2 1 806 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 14 [ 2 1 469 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 15 [ 12 1 146 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 16 [ 5 1 106 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 17 [ 17 1 222 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 18 [ 17 1 144 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 19 [ 4 1 216 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 20 [ 18 2 349 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 21 [ 4 5 57597 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 22 [ 19 1 245 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 23 [ 20 1 111 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 24 [ 6 1 177 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 25 [ 7 2 107 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  Stopped by limit on insertions
% 3.63/3.90  
% 3.63/3.90  Model 26 [ 22 1 226 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  ----> UNIT CONFLICT at   3.50 sec ----> 1485 [binary,1484.1,25.1] {+} $F.
% 3.63/3.90  
% 3.63/3.90  Length of proof is 3.  Level of proof is 2.
% 3.63/3.90  
% 3.63/3.90  ---------------- PROOF ----------------
% 3.63/3.90  % SZS status Unsatisfiable
% 3.63/3.90  % SZS output start Refutation
% 3.63/3.90  
% 3.63/3.90  3 [] {+} sum(additive_identity,A,A)| -defined(A).
% 3.63/3.90  4 [] {+} sum(additive_inverse(A),A,additive_identity)| -defined(A).
% 3.63/3.90  22 [] {+} less_or_equal(A,B)| -less_or_equal(C,D)| -sum(C,E,A)| -sum(D,E,B).
% 3.63/3.90  25 [] {+} -less_or_equal(additive_identity,a).
% 3.63/3.90  51 [] {-} defined(a).
% 3.63/3.90  52 [] {+} less_or_equal(additive_inverse(a),additive_identity).
% 3.63/3.90  111 [hyper,51,4] {+} sum(additive_inverse(a),a,additive_identity).
% 3.63/3.90  112 [hyper,51,3] {+} sum(additive_identity,a,a).
% 3.63/3.90  1484 [hyper,112,22,52,111] {-} less_or_equal(additive_identity,a).
% 3.63/3.90  1485 [binary,1484.1,25.1] {+} $F.
% 3.63/3.90  
% 3.63/3.90  % SZS output end Refutation
% 3.63/3.90  ------------ end of proof -------------
% 3.63/3.90  
% 3.63/3.90  
% 3.63/3.90  Search stopped by max_proofs option.
% 3.63/3.90  
% 3.63/3.90  
% 3.63/3.90  Search stopped by max_proofs option.
% 3.63/3.90  
% 3.63/3.90  ============ end of search ============
% 3.63/3.90  
% 3.63/3.90  ----------- soft-scott stats ----------
% 3.63/3.90  
% 3.63/3.90  true clauses given           7      (20.6%)
% 3.63/3.90  false clauses given         27
% 3.63/3.90  
% 3.63/3.90        FALSE     TRUE
% 3.63/3.90     4  11        2
% 3.63/3.90     5  53        3
% 3.63/3.90     6  169       9
% 3.63/3.90     7  147       4
% 3.63/3.90     8  304       5
% 3.63/3.90     9  12        4
% 3.63/3.90    10  150       35
% 3.63/3.90    11  9         1
% 3.63/3.90    12  135       32
% 3.63/3.90    14  211       86
% 3.63/3.90    15  9         1
% 3.63/3.90  tot:  1210      182      (13.1% true)
% 3.63/3.90  
% 3.63/3.90  
% 3.63/3.90  Model 26 [ 22 1 226 ] (0.00 seconds, 250000 Inserts)
% 3.63/3.90  
% 3.63/3.90  That finishes the proof of the theorem.
% 3.63/3.90  
% 3.63/3.90  Process 12207 finished Tue Jun  7 00:57:54 2022
%------------------------------------------------------------------------------