TSTP Solution File: FLD013-4 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : FLD013-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n032.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 02:27:36 EDT 2022

% Result   : Unsatisfiable 10.14s 10.33s
% Output   : Refutation 10.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : FLD013-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.10  % Command  : sos-script %s
% 0.10/0.28  % Computer : n032.cluster.edu
% 0.10/0.28  % Model    : x86_64 x86_64
% 0.10/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28  % Memory   : 8042.1875MB
% 0.10/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28  % CPULimit : 300
% 0.10/0.28  % WCLimit  : 600
% 0.10/0.28  % DateTime : Mon Jun  6 19:12:35 EDT 2022
% 0.10/0.28  % CPUTime  : 
% 0.13/0.30  ----- Otter 3.2, August 2001 -----
% 0.13/0.30  The process was started by sandbox2 on n032.cluster.edu,
% 0.13/0.30  Mon Jun  6 19:12:35 2022
% 0.13/0.30  The command was "./sos".  The process ID is 28685.
% 0.13/0.30  
% 0.13/0.30  set(prolog_style_variables).
% 0.13/0.30  set(auto).
% 0.13/0.30     dependent: set(auto1).
% 0.13/0.30     dependent: set(process_input).
% 0.13/0.30     dependent: clear(print_kept).
% 0.13/0.30     dependent: clear(print_new_demod).
% 0.13/0.30     dependent: clear(print_back_demod).
% 0.13/0.30     dependent: clear(print_back_sub).
% 0.13/0.30     dependent: set(control_memory).
% 0.13/0.30     dependent: assign(max_mem, 12000).
% 0.13/0.30     dependent: assign(pick_given_ratio, 4).
% 0.13/0.30     dependent: assign(stats_level, 1).
% 0.13/0.30     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.30     dependent: assign(sos_limit, 5000).
% 0.13/0.30     dependent: assign(max_weight, 60).
% 0.13/0.30  clear(print_given).
% 0.13/0.30  
% 0.13/0.30  list(usable).
% 0.13/0.30  
% 0.13/0.30  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 0.13/0.30  
% 0.13/0.30  This is a non-Horn set without equality.  The strategy
% 0.13/0.30  will be ordered hyper_res, ur_res, unit deletion, and
% 0.13/0.30  factoring, with satellites in sos and nuclei in usable.
% 0.13/0.30  
% 0.13/0.30     dependent: set(hyper_res).
% 0.13/0.30     dependent: set(factor).
% 0.13/0.30     dependent: set(unit_deletion).
% 0.13/0.30  
% 0.13/0.30  ------------> process usable:
% 0.13/0.30  
% 0.13/0.30  ------------> process sos:
% 0.13/0.30  
% 0.13/0.30  ======= end of input processing =======
% 0.13/0.36  
% 0.13/0.36  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.36  
% 0.13/0.36  Stopped by limit on number of solutions
% 0.13/0.36  
% 0.13/0.36  
% 0.13/0.36  -------------- Softie stats --------------
% 0.13/0.36  
% 0.13/0.36  UPDATE_STOP: 300
% 0.13/0.36  SFINDER_TIME_LIMIT: 2
% 0.13/0.36  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.36  number of clauses in intial UL: 48
% 0.13/0.36  number of clauses initially in problem: 58
% 0.13/0.36  percentage of clauses intially in UL: 82
% 0.13/0.36  percentage of distinct symbols occuring in initial UL: 86
% 0.13/0.36  percent of all initial clauses that are short: 100
% 0.13/0.36  absolute distinct symbol count: 15
% 0.13/0.36     distinct predicate count: 4
% 0.13/0.36     distinct function count: 4
% 0.13/0.36     distinct constant count: 7
% 0.13/0.36  
% 0.13/0.36  ---------- no more Softie stats ----------
% 0.13/0.36  
% 0.13/0.36  
% 0.13/0.36  
% 0.13/0.36  Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.36  
% 0.13/0.36  Stopped by limit on number of solutions
% 0.13/0.36  
% 0.13/0.36  =========== start of search ===========
% 5.10/5.31  
% 5.10/5.31  
% 5.10/5.31  Changing weight limit from 60 to 12.
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 3 [ 1 2 111 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 4 [ 1 1 108 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 5 [ 1 1 173 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 6 [ 1 2 162 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 7 [ 2 2 349 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 8 [ 2 1 1121 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 9 [ 2 1 119 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 10 [ 5 2 111 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 11 [ 2 1 118 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 12 [ 9 1 265 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 13 [ 3 1 122 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 14 [ 3 2 115 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 15 [ 2 1 216 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 16 [ 2 1 270 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 17 [ 4 1 153 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 18 [ 12 1 166 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 19 [ 5 2 157 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 20 [ 4 1 532 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 21 [ 4 2 371 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 22 [ 2 5 195984 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 23 [ 2 1 118 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 24 [ 5 6 204243 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 25 [ 17 2 127 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 26 [ 9 6 165513 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 27 [ 7 1 110 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 28 [ 2 2 116 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 29 [ 8 1 106 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 30 [ 22 2 300 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 31 [ 3 1 153 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 32 [ 4 1 210 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 33 [ 12 9 201812 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 34 [ 10 1 513 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 35 [ 23 1 217 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 36 [ 28 1 105 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 37 [ 3 8 134048 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 38 [ 13 4 54252 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 39 [ 10 6 95578 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Stopped by limit on insertions
% 5.10/5.31  
% 5.10/5.31  Model 40 [ 3 1 139 ] (0.00 seconds, 250000 Inserts)
% 5.10/5.31  
% 5.10/5.31  Resetting weight limit to 12 after 50 givens.
% 5.10/5.31  
% 5.85/6.05  
% 5.85/6.05  
% 5.85/6.05  Changing weight limit from 12 to 13.
% 5.85/6.05  
% 5.85/6.05  Stopped by limit on insertions
% 5.85/6.05  
% 5.85/6.05  Model 41 [ 12 1 107 ] (0.00 seconds, 250000 Inserts)
% 5.85/6.05  
% 5.85/6.05  Stopped by limit on insertions
% 5.85/6.05  
% 5.85/6.05  Model 42 [ 15 7 102927 ] (0.00 seconds, 250000 Inserts)
% 5.85/6.05  
% 5.85/6.05  Stopped by limit on insertions
% 5.85/6.05  
% 5.85/6.05  Model 43 [ 36 2 265 ] (0.00 seconds, 250000 Inserts)
% 5.85/6.05  
% 5.85/6.05  Stopped by limit on insertions
% 5.85/6.05  
% 5.85/6.05  Model 44 [ 15 2 4416 ] (0.00 seconds, 250000 Inserts)
% 5.85/6.05  
% 5.85/6.05  Resetting weight limit to 13 after 55 givens.
% 5.85/6.05  
% 7.03/7.26  
% 7.03/7.26  
% 7.03/7.26  Changing weight limit from 13 to 12.
% 7.03/7.26  
% 7.03/7.26  Stopped by limit on insertions
% 7.03/7.26  
% 7.03/7.26  Model 45 [ 40 1 201 ] (0.00 seconds, 250000 Inserts)
% 7.03/7.26  
% 7.03/7.26  Stopped by limit on insertions
% 7.03/7.26  
% 7.03/7.26  Model 46 [ 11 1 106 ] (0.00 seconds, 250000 Inserts)
% 7.03/7.26  
% 7.03/7.26  Stopped by limit on insertions
% 7.03/7.26  
% 7.03/7.26  Model 47 [ 11 2 261 ] (0.00 seconds, 250000 Inserts)
% 7.03/7.26  
% 7.03/7.26  Stopped by limit on insertions
% 7.03/7.26  
% 7.03/7.26  Model 48 [ 43 2 162 ] (0.00 seconds, 250000 Inserts)
% 7.03/7.26  
% 7.03/7.26  Stopped by limit on insertions
% 7.03/7.26  
% 7.03/7.26  Model 49 [ 9 1 1788 ] (0.00 seconds, 250000 Inserts)
% 7.03/7.26  
% 7.03/7.26  Resetting weight limit to 12 after 60 givens.
% 7.03/7.26  
% 9.10/9.29  
% 9.10/9.29  
% 9.10/9.29  Changing weight limit from 12 to 10.
% 9.10/9.29  
% 9.10/9.29  Stopped by limit on insertions
% 9.10/9.29  
% 9.10/9.29  Model 50 [ 35 1 159 ] (0.00 seconds, 250000 Inserts)
% 9.10/9.29  
% 9.10/9.29  Stopped by limit on insertions
% 9.10/9.29  
% 9.10/9.29  Model 51 [ 10 2 615 ] (0.00 seconds, 250000 Inserts)
% 9.10/9.29  
% 9.10/9.29  Stopped by limit on insertions
% 9.10/9.29  
% 9.10/9.29  Model 52 [ 11 9 106145 ] (0.00 seconds, 250000 Inserts)
% 9.10/9.29  
% 9.10/9.29  Stopped by limit on insertions
% 9.10/9.29  
% 9.10/9.29  Model 53 [ 11 2 125 ] (0.00 seconds, 250000 Inserts)
% 9.10/9.29  
% 9.10/9.29  Stopped by limit on insertions
% 9.10/9.29  
% 9.10/9.29  Model 54 [ 36 1 270 ] (0.00 seconds, 250000 Inserts)
% 9.10/9.29  
% 9.10/9.29  Stopped by limit on insertions
% 9.10/9.29  
% 9.10/9.29  Model 55 [ 21 2 715 ] (0.00 seconds, 250000 Inserts)
% 9.10/9.29  
% 9.10/9.29  Stopped by limit on insertions
% 9.10/9.29  
% 9.10/9.29  Stopped by limit on insertions
% 9.10/9.29  
% 9.10/9.29  Model 56 [ 12 1 299 ] (0.00 seconds, 250000 Inserts)
% 9.10/9.29  
% 9.10/9.29  Stopped by limit on insertions
% 9.10/9.29  
% 9.10/9.29  Model 57 [ 11 1 136 ] (0.00 seconds, 250000 Inserts)
% 9.10/9.29  
% 9.10/9.29  Resetting weight limit to 10 after 70 givens.
% 9.10/9.29  
% 10.14/10.33  
% 10.14/10.33  -------- PROOF -------- 
% 10.14/10.33  % SZS status Unsatisfiable
% 10.14/10.33  % SZS output start Refutation
% 10.14/10.33  
% 10.14/10.33  Stopped by limit on insertions
% 10.14/10.33  
% 10.14/10.33  Model 58 [ 11 26 239930 ] (0.00 seconds, 250000 Inserts)
% 10.14/10.33  
% 10.14/10.33  Stopped by limit on insertions
% 10.14/10.33  
% 10.14/10.33  Model 59 [ 7 1 323 ] (0.00 seconds, 250000 Inserts)
% 10.14/10.33  
% 10.14/10.33  Stopped by limit on insertions
% 10.14/10.33  
% 10.14/10.33  Model 60 [ 54 2 254 ] (0.00 seconds, 250000 Inserts)
% 10.14/10.33  
% 10.14/10.33  ----> UNIT CONFLICT at   9.97 sec ----> 6244 [binary,6243.1,25.1] {+} $F.
% 10.14/10.33  
% 10.14/10.33  Length of proof is 6.  Level of proof is 4.
% 10.14/10.33  
% 10.14/10.33  ---------------- PROOF ----------------
% 10.14/10.33  % SZS status Unsatisfiable
% 10.14/10.33  % SZS output start Refutation
% 10.14/10.33  
% 10.14/10.33  2 [] {+} sum(A,B,C)| -sum(D,E,A)| -sum(E,B,F)| -sum(D,F,C).
% 10.14/10.33  3 [] {+} sum(additive_identity,A,A)| -defined(A).
% 10.14/10.33  5 [] {+} sum(A,B,C)| -sum(B,A,C).
% 10.14/10.33  25 [] {+} -sum(d,b,u).
% 10.14/10.33  52 [] {+} defined(b).
% 10.14/10.33  55 [] {+} defined(u).
% 10.14/10.33  56 [] {+} sum(additive_identity,a,b).
% 10.14/10.33  57 [] {+} sum(additive_identity,c,d).
% 10.14/10.33  58 [] {+} sum(a,c,u).
% 10.14/10.33  203 [hyper,52,3] {+} sum(additive_identity,b,b).
% 10.14/10.33  324 [hyper,55,3] {-} sum(additive_identity,u,u).
% 10.14/10.33  484 [hyper,57,5] {+} sum(c,additive_identity,d).
% 10.14/10.33  1998 [hyper,324,2,56,58] {+} sum(b,c,u).
% 10.14/10.33  2394 [hyper,1998,5] {+} sum(c,b,u).
% 10.14/10.33  6243 [hyper,2394,2,484,203] {-} sum(d,b,u).
% 10.14/10.33  6244 [binary,6243.1,25.1] {+} $F.
% 10.14/10.33  
% 10.14/10.33  % SZS output end Refutation
% 10.14/10.33  ------------ end of proof -------------
% 10.14/10.33  
% 10.14/10.33  
% 10.14/10.33  Search stopped by max_proofs option.
% 10.14/10.33  
% 10.14/10.33  
% 10.14/10.33  Search stopped by max_proofs option.
% 10.14/10.33  
% 10.14/10.33  ============ end of search ============
% 10.14/10.33  
% 10.14/10.33  ----------- soft-scott stats ----------
% 10.14/10.33  
% 10.14/10.33  true clauses given          10      (13.5%)
% 10.14/10.33  false clauses given         64
% 10.14/10.33  
% 10.14/10.33        FALSE     TRUE
% 10.14/10.33     4  89        3
% 10.14/10.33     5  236       7
% 10.14/10.33     6  950       26
% 10.14/10.33     7  758       11
% 10.14/10.33     8  745       72
% 10.14/10.33     9  0         2
% 10.14/10.33    10  76        15
% 10.14/10.33  tot:  2854      136      (4.5% true)
% 10.14/10.33  
% 10.14/10.33  
% 10.14/10.33  Model 60 [ 54 2 254 ] (0.00 seconds, 250000 Inserts)
% 10.14/10.33  
% 10.14/10.33  That finishes the proof of the theorem.
% 10.14/10.33  
% 10.14/10.33  Process 28685 finished Mon Jun  6 19:12:45 2022
%------------------------------------------------------------------------------