TSTP Solution File: FLD059-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : FLD059-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n019.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 02:27:55 EDT 2022

% Result   : Unsatisfiable 13.66s 13.89s
% Output   : Refutation 13.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : FLD059-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n019.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 13:15:55 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 n019.cluster.edu,
% 0.13/0.36  Mon Jun  6 13:15:55 2022
% 0.13/0.36  The command was "./sos".  The process ID is 15323.
% 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 =======
% 0.20/0.44  
% 0.20/0.44  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.44  
% 0.20/0.44  Stopped by limit on number of solutions
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  -------------- Softie stats --------------
% 0.20/0.44  
% 0.20/0.44  UPDATE_STOP: 300
% 0.20/0.44  SFINDER_TIME_LIMIT: 2
% 0.20/0.44  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.44  number of clauses in intial UL: 48
% 0.20/0.44  number of clauses initially in problem: 52
% 0.20/0.44  percentage of clauses intially in UL: 92
% 0.20/0.44  percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.44  percent of all initial clauses that are short: 100
% 0.20/0.44  absolute distinct symbol count: 11
% 0.20/0.44     distinct predicate count: 4
% 0.20/0.44     distinct function count: 4
% 0.20/0.44     distinct constant count: 3
% 0.20/0.44  
% 0.20/0.44  ---------- no more Softie stats ----------
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.44  
% 0.20/0.44  Stopped by limit on number of solutions
% 0.20/0.44  
% 0.20/0.44  =========== start of search ===========
% 4.92/5.12  
% 4.92/5.12  
% 4.92/5.12  Changing weight limit from 60 to 14.
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 3 [ 2 2 739 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 4 [ 2 1 493 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 5 [ 2 3 49942 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 6 [ 2 2 38522 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 7 [ 3 1 354 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 8 [ 4 1 394 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 9 [ 3 1 187 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 10 [ 3 1 391 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 11 [ 3 1 651 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 12 [ 3 2 543 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 13 [ 4 1 528 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 14 [ 4 2 185 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 15 [ 11 2 344 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 16 [ 7 1 174 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 17 [ 6 2 260 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 18 [ 6 2 126 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 19 [ 5 7 82276 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 20 [ 5 1 489 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 21 [ 12 4 54626 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 22 [ 3 3 23709 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 23 [ 4 8 247366 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 24 [ 6 1 1810 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 25 [ 23 1 105 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 26 [ 26 2 103 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 27 [ 3 4 33107 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Stopped by limit on insertions
% 4.92/5.12  
% 4.92/5.12  Model 28 [ 6 1 9202 ] (0.00 seconds, 250000 Inserts)
% 4.92/5.12  
% 4.92/5.12  Resetting weight limit to 14 after 40 givens.
% 4.92/5.12  
% 8.09/8.28  
% 8.09/8.28  
% 8.09/8.28  Changing weight limit from 14 to 15.
% 8.09/8.28  
% 8.09/8.28  Stopped by limit on insertions
% 8.09/8.28  
% 8.09/8.28  Model 29 [ 5 2 8633 ] (0.00 seconds, 250000 Inserts)
% 8.09/8.28  
% 8.09/8.28  Stopped by limit on insertions
% 8.09/8.28  
% 8.09/8.28  Model 30 [ 8 2 2018 ] (0.00 seconds, 250000 Inserts)
% 8.09/8.28  
% 8.09/8.28  Stopped by limit on insertions
% 8.09/8.28  
% 8.09/8.28  Stopped by limit on insertions
% 8.09/8.28  
% 8.09/8.28  Model 31 [ 28 3 23069 ] (0.00 seconds, 250000 Inserts)
% 8.09/8.28  
% 8.09/8.28  Stopped by limit on insertions
% 8.09/8.28  
% 8.09/8.28  Model 32 [ 8 2 185 ] (0.00 seconds, 250000 Inserts)
% 8.09/8.28  
% 8.09/8.28  Stopped by limit on insertions
% 8.09/8.28  
% 8.09/8.28  Model 33 [ 9 2 1118 ] (0.00 seconds, 250000 Inserts)
% 8.09/8.28  
% 8.09/8.28  Stopped by limit on insertions
% 8.09/8.28  
% 8.09/8.28  Model 34 [ 9 2 49424 ] (0.00 seconds, 250000 Inserts)
% 8.09/8.28  
% 8.09/8.28  Stopped by limit on insertions
% 8.09/8.28  
% 8.09/8.28  Model 35 [ 31 9 42787 ] (0.00 seconds, 250000 Inserts)
% 8.09/8.28  
% 8.09/8.28  Stopped by limit on insertions
% 8.09/8.28  
% 8.09/8.28  Model 36 [ 32 2 727 ] (0.00 seconds, 250000 Inserts)
% 8.09/8.28  
% 8.09/8.28  Stopped by limit on insertions
% 8.09/8.28  
% 8.09/8.28  Model 37 [ 10 1 140 ] (0.00 seconds, 250000 Inserts)
% 8.09/8.28  
% 8.09/8.28  Stopped by limit on insertions
% 8.09/8.28  
% 8.09/8.28  Model 38 [ 34 2 2414 ] (0.00 seconds, 250000 Inserts)
% 8.09/8.28  
% 8.09/8.28  Stopped by limit on insertions
% 8.09/8.28  
% 8.09/8.28  Model 39 [ 11 7 202988 ] (0.00 seconds, 250000 Inserts)
% 8.09/8.28  
% 8.09/8.28  Stopped by limit on insertions
% 8.09/8.28  
% 8.09/8.28  Model 40 [ 16 2 74312 ] (0.00 seconds, 250000 Inserts)
% 8.09/8.28  
% 8.09/8.28  Stopped by limit on insertions
% 8.09/8.28  
% 8.09/8.28  Model 41 [ 14 1 714 ] (0.00 seconds, 250000 Inserts)
% 8.09/8.28  
% 8.09/8.28  Stopped by limit on insertions
% 8.09/8.28  
% 8.09/8.28  Model 42 [ 8 2 1910 ] (0.00 seconds, 250000 Inserts)
% 8.09/8.28  
% 8.09/8.28  Stopped by limit on insertions
% 8.09/8.28  
% 8.09/8.28  Model 43 [ 33 26 236369 ] (0.00 seconds, 250000 Inserts)
% 8.09/8.28  
% 8.09/8.28  Resetting weight limit to 15 after 60 givens.
% 8.09/8.28  
% 8.99/9.16  
% 8.99/9.16  
% 8.99/9.16  Changing weight limit from 15 to 14.
% 8.99/9.16  
% 8.99/9.16  Stopped by limit on insertions
% 8.99/9.16  
% 8.99/9.16  Model 44 [ 47 2 29975 ] (0.00 seconds, 250000 Inserts)
% 8.99/9.16  
% 8.99/9.16  Stopped by limit on insertions
% 8.99/9.16  
% 8.99/9.16  Model 45 [ 40 2 838 ] (0.00 seconds, 250000 Inserts)
% 8.99/9.16  
% 8.99/9.16  Stopped by limit on insertions
% 8.99/9.16  
% 8.99/9.16  Model 46 [ 25 8 220550 ] (0.00 seconds, 250000 Inserts)
% 8.99/9.16  
% 8.99/9.16  Stopped by limit on insertions
% 8.99/9.16  
% 8.99/9.16  Model 47 [ 15 2 102 ] (0.00 seconds, 250000 Inserts)
% 8.99/9.16  
% 8.99/9.16  Resetting weight limit to 14 after 65 givens.
% 8.99/9.16  
% 13.66/13.89  
% 13.66/13.89  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 48 [ 10 3 8375 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 49 [ 14 2 769 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 50 [ 42 1 1105 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 51 [ 15 4 39832 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 52 [ 46 2 39547 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 53 [ 9 16 82297 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 54 [ 47 2 29687 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 55 [ 18 1 101 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 56 [ 17 1 902 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 57 [ 29 5 57392 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 58 [ 15 11 131951 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 59 [ 12 1 409 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 60 [ 10 13 49535 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 61 [ 15 1 302 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 62 [ 46 2 104 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 63 [ 11 19 72236 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 64 [ 29 2 278 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 65 [ 50 2 2759 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 66 [ 29 18 79510 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 67 [ 17 1 185 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  Stopped by limit on insertions
% 13.66/13.89  
% 13.66/13.89  Model 68 [ 63 3 59186 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  ----> UNIT CONFLICT at  13.46 sec ----> 12146 [binary,12145.1,25.1] {+} $F.
% 13.66/13.89  
% 13.66/13.89  Length of proof is 5.  Level of proof is 4.
% 13.66/13.89  
% 13.66/13.89  ---------------- PROOF ----------------
% 13.66/13.89  % SZS status Unsatisfiable
% 13.66/13.89  % SZS output start Refutation
% 13.66/13.89  
% 13.66/13.89  3 [] {+} sum(additive_identity,A,A)| -defined(A).
% 13.66/13.89  17 [] {+} sum(A,B,add(A,B))| -defined(A)| -defined(B).
% 13.66/13.89  20 [] {+} less_or_equal(A,B)| -less_or_equal(A,C)| -less_or_equal(C,B).
% 13.66/13.89  22 [] {+} less_or_equal(A,B)| -less_or_equal(C,D)| -sum(C,E,A)| -sum(D,E,B).
% 13.66/13.89  25 [] {+} -less_or_equal(additive_identity,add(a,a)).
% 13.66/13.89  41 [factor,17.2.3] {+} sum(A,A,add(A,A))| -defined(A).
% 13.66/13.89  51 [] {-} defined(a).
% 13.66/13.89  52 [] {+} less_or_equal(additive_identity,a).
% 13.66/13.89  86 [hyper,51,41] {+} sum(a,a,add(a,a)).
% 13.66/13.89  111 [hyper,51,3] {+} sum(additive_identity,a,a).
% 13.66/13.89  7371 [hyper,86,22,52,111] {+} less_or_equal(a,add(a,a)).
% 13.66/13.89  12145 [hyper,7371,20,52] {-} less_or_equal(additive_identity,add(a,a)).
% 13.66/13.89  12146 [binary,12145.1,25.1] {+} $F.
% 13.66/13.89  
% 13.66/13.89  % SZS output end Refutation
% 13.66/13.89  ------------ end of proof -------------
% 13.66/13.89  
% 13.66/13.89  
% 13.66/13.89  Search stopped by max_proofs option.
% 13.66/13.89  
% 13.66/13.89  
% 13.66/13.89  Search stopped by max_proofs option.
% 13.66/13.89  
% 13.66/13.89  ============ end of search ============
% 13.66/13.89  
% 13.66/13.89  ----------- soft-scott stats ----------
% 13.66/13.89  
% 13.66/13.89  true clauses given          15      (12.7%)
% 13.66/13.89  false clauses given        103
% 13.66/13.89  
% 13.66/13.89        FALSE     TRUE
% 13.66/13.89     5  30        1
% 13.66/13.89     6  361       15
% 13.66/13.89     7  743       8
% 13.66/13.89     8  1396      100
% 13.66/13.89     9  446       3
% 13.66/13.89    10  459       9
% 13.66/13.89    11  1         0
% 13.66/13.89    12  46        9
% 13.66/13.89    13  2         0
% 13.66/13.89    14  20        20
% 13.66/13.89  tot:  3504      165      (4.5% true)
% 13.66/13.89  
% 13.66/13.89  
% 13.66/13.89  Model 68 [ 63 3 59186 ] (0.00 seconds, 250000 Inserts)
% 13.66/13.89  
% 13.66/13.89  That finishes the proof of the theorem.
% 13.66/13.89  
% 13.66/13.89  Process 15323 finished Mon Jun  6 13:16:08 2022
%------------------------------------------------------------------------------