TSTP Solution File: FLD059-4 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : FLD059-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n020.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 8.72s 8.88s
% Output   : Refutation 8.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : FLD059-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14  % Command  : sos-script %s
% 0.16/0.36  % Computer : n020.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 600
% 0.16/0.36  % DateTime : Mon Jun  6 23:09:22 EDT 2022
% 0.16/0.36  % CPUTime  : 
% 0.16/0.38  ----- Otter 3.2, August 2001 -----
% 0.16/0.38  The process was started by sandbox on n020.cluster.edu,
% 0.16/0.38  Mon Jun  6 23:09:22 2022
% 0.16/0.38  The command was "./sos".  The process ID is 26281.
% 0.16/0.38  
% 0.16/0.38  set(prolog_style_variables).
% 0.16/0.38  set(auto).
% 0.16/0.38     dependent: set(auto1).
% 0.16/0.38     dependent: set(process_input).
% 0.16/0.38     dependent: clear(print_kept).
% 0.16/0.38     dependent: clear(print_new_demod).
% 0.16/0.38     dependent: clear(print_back_demod).
% 0.16/0.38     dependent: clear(print_back_sub).
% 0.16/0.38     dependent: set(control_memory).
% 0.16/0.38     dependent: assign(max_mem, 12000).
% 0.16/0.38     dependent: assign(pick_given_ratio, 4).
% 0.16/0.38     dependent: assign(stats_level, 1).
% 0.16/0.38     dependent: assign(pick_semantic_ratio, 3).
% 0.16/0.38     dependent: assign(sos_limit, 5000).
% 0.16/0.38     dependent: assign(max_weight, 60).
% 0.16/0.38  clear(print_given).
% 0.16/0.38  
% 0.16/0.38  list(usable).
% 0.16/0.38  
% 0.16/0.38  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 0.16/0.38  
% 0.16/0.38  This is a non-Horn set without equality.  The strategy
% 0.16/0.38  will be ordered hyper_res, ur_res, unit deletion, and
% 0.16/0.38  factoring, with satellites in sos and nuclei in usable.
% 0.16/0.38  
% 0.16/0.38     dependent: set(hyper_res).
% 0.16/0.38     dependent: set(factor).
% 0.16/0.38     dependent: set(unit_deletion).
% 0.16/0.38  
% 0.16/0.38  ------------> process usable:
% 0.16/0.38  
% 0.16/0.38  ------------> process sos:
% 0.16/0.38  
% 0.16/0.38  ======= end of input processing =======
% 0.23/0.47  
% 0.23/0.47  Model 1 (0.00 seconds, 0 Inserts)
% 0.23/0.47  
% 0.23/0.47  Stopped by limit on number of solutions
% 0.23/0.47  
% 0.23/0.47  
% 0.23/0.47  -------------- Softie stats --------------
% 0.23/0.47  
% 0.23/0.47  UPDATE_STOP: 300
% 0.23/0.47  SFINDER_TIME_LIMIT: 2
% 0.23/0.47  SHORT_CLAUSE_CUTOFF: 4
% 0.23/0.47  number of clauses in intial UL: 48
% 0.23/0.47  number of clauses initially in problem: 54
% 0.23/0.47  percentage of clauses intially in UL: 88
% 0.23/0.47  percentage of distinct symbols occuring in initial UL: 91
% 0.23/0.47  percent of all initial clauses that are short: 100
% 0.23/0.47  absolute distinct symbol count: 12
% 0.23/0.47     distinct predicate count: 4
% 0.23/0.47     distinct function count: 4
% 0.23/0.47     distinct constant count: 4
% 0.23/0.47  
% 0.23/0.47  ---------- no more Softie stats ----------
% 0.23/0.47  
% 0.23/0.47  
% 0.23/0.47  
% 0.23/0.47  Model 2 (0.00 seconds, 0 Inserts)
% 0.23/0.47  
% 0.23/0.47  Stopped by limit on number of solutions
% 0.23/0.47  
% 0.23/0.47  =========== start of search ===========
% 5.96/6.14  
% 5.96/6.14  
% 5.96/6.14  Changing weight limit from 60 to 15.
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 3 [ 1 2 199 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 4 [ 2 2 588 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 5 [ 2 2 231 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 6 [ 6 2 309 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 7 [ 2 2 172 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 8 [ 3 3 43489 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 9 [ 5 1 263 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 10 [ 3 8 185408 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 11 [ 6 1 433 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 12 [ 11 1 103 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 13 [ 4 1 8400 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 14 [ 11 2 108 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 15 [ 3 1 884 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 16 [ 5 1 8358 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 17 [ 5 2 203 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 18 [ 5 1 333 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 19 [ 3 1 161 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 20 [ 3 2 16605 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 21 [ 6 2 702 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 22 [ 6 2 202 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 23 [ 20 2 223 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 24 [ 11 2 20303 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 25 [ 19 1 159 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 26 [ 6 3 16607 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 27 [ 3 4 27426 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 28 [ 24 1 384 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 29 [ 4 1 316 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 30 [ 29 1 147 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 31 [ 8 1 254 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 32 [ 30 2 103 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 33 [ 9 2 1592 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 34 [ 8 12 111524 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 35 [ 12 16 191131 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 36 [ 9 1 266 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 37 [ 33 2 267 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 38 [ 8 2 221 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Stopped by limit on insertions
% 5.96/6.14  
% 5.96/6.14  Model 39 [ 36 1 113 ] (0.00 seconds, 250000 Inserts)
% 5.96/6.14  
% 5.96/6.14  Resetting weight limit to 15 after 50 givens.
% 5.96/6.14  
% 8.72/8.88  
% 8.72/8.88  -------- PROOF -------- 
% 8.72/8.88  % SZS status Unsatisfiable
% 8.72/8.88  % SZS output start Refutation
% 8.72/8.88  
% 8.72/8.88  Stopped by limit on insertions
% 8.72/8.88  
% 8.72/8.88  Model 40 [ 30 2 499 ] (0.00 seconds, 250000 Inserts)
% 8.72/8.88  
% 8.72/8.88  Stopped by limit on insertions
% 8.72/8.88  
% 8.72/8.88  Model 41 [ 15 2 381 ] (0.00 seconds, 250000 Inserts)
% 8.72/8.88  
% 8.72/8.88  Stopped by limit on insertions
% 8.72/8.88  
% 8.72/8.88  Model 42 [ 9 1 102 ] (0.00 seconds, 250000 Inserts)
% 8.72/8.88  
% 8.72/8.88  Stopped by limit on insertions
% 8.72/8.88  
% 8.72/8.88  Model 43 [ 8 1 395 ] (0.00 seconds, 250000 Inserts)
% 8.72/8.88  
% 8.72/8.88  Stopped by limit on insertions
% 8.72/8.88  
% 8.72/8.88  Model 44 [ 35 1 164 ] (0.00 seconds, 250000 Inserts)
% 8.72/8.88  
% 8.72/8.88  Stopped by limit on insertions
% 8.72/8.88  
% 8.72/8.88  Model 45 [ 35 2 210 ] (0.00 seconds, 250000 Inserts)
% 8.72/8.88  
% 8.72/8.88  Stopped by limit on insertions
% 8.72/8.88  
% 8.72/8.88  Model 46 [ 12 2 4714 ] (0.00 seconds, 250000 Inserts)
% 8.72/8.88  
% 8.72/8.88  Stopped by limit on insertions
% 8.72/8.88  
% 8.72/8.88  Model 47 [ 10 2 128 ] (0.00 seconds, 250000 Inserts)
% 8.72/8.88  
% 8.72/8.88  Stopped by limit on insertions
% 8.72/8.88  
% 8.72/8.88  Model 48 [ 11 10 100057 ] (0.00 seconds, 250000 Inserts)
% 8.72/8.88  
% 8.72/8.88  Stopped by limit on insertions
% 8.72/8.88  
% 8.72/8.88  Model 49 [ 16 3 30200 ] (0.00 seconds, 250000 Inserts)
% 8.72/8.88  
% 8.72/8.88  Stopped by limit on insertions
% 8.72/8.88  
% 8.72/8.88  Model 50 [ 9 1 333 ] (0.00 seconds, 250000 Inserts)
% 8.72/8.88  
% 8.72/8.88  Stopped by limit on insertions
% 8.72/8.88  
% 8.72/8.88  Model 51 [ 37 2 144 ] (0.00 seconds, 250000 Inserts)
% 8.72/8.88  
% 8.72/8.88  ----> UNIT CONFLICT at   8.44 sec ----> 4949 [binary,4948.1,25.1] {+} $F.
% 8.72/8.88  
% 8.72/8.88  Length of proof is 3.  Level of proof is 3.
% 8.72/8.88  
% 8.72/8.88  ---------------- PROOF ----------------
% 8.72/8.88  % SZS status Unsatisfiable
% 8.72/8.88  % SZS output start Refutation
% 8.72/8.88  
% 8.72/8.88  3 [] {+} sum(additive_identity,A,A)| -defined(A).
% 8.72/8.88  20 [] {+} less_or_equal(A,B)| -less_or_equal(A,C)| -less_or_equal(C,B).
% 8.72/8.88  22 [] {+} less_or_equal(A,B)| -less_or_equal(C,D)| -sum(C,E,A)| -sum(D,E,B).
% 8.72/8.88  25 [] {+} -less_or_equal(additive_identity,u).
% 8.72/8.88  51 [] {+} defined(a).
% 8.72/8.88  53 [] {+} less_or_equal(additive_identity,a).
% 8.72/8.88  54 [] {+} sum(a,a,u).
% 8.72/8.88  113 [hyper,51,3] {+} sum(additive_identity,a,a).
% 8.72/8.88  4946 [hyper,113,22,53,54] {+} less_or_equal(a,u).
% 8.72/8.88  4948 [hyper,4946,20,53] {-} less_or_equal(additive_identity,u).
% 8.72/8.88  4949 [binary,4948.1,25.1] {+} $F.
% 8.72/8.88  
% 8.72/8.88  % SZS output end Refutation
% 8.72/8.88  ------------ end of proof -------------
% 8.72/8.88  
% 8.72/8.88  
% 8.72/8.88  Search stopped by max_proofs option.
% 8.72/8.88  
% 8.72/8.88  
% 8.72/8.88  Search stopped by max_proofs option.
% 8.72/8.88  
% 8.72/8.88  ============ end of search ============
% 8.72/8.88  
% 8.72/8.88  ----------- soft-scott stats ----------
% 8.72/8.88  
% 8.72/8.88  true clauses given          10      (15.9%)
% 8.72/8.88  false clauses given         53
% 8.72/8.88  
% 8.72/8.88        FALSE     TRUE
% 8.72/8.88     4  15        1
% 8.72/8.88     5  89        12
% 8.72/8.88     6  447       28
% 8.72/8.88     7  387       36
% 8.72/8.88     8  1231      72
% 8.72/8.88     9  6         25
% 8.72/8.88    10  336       185
% 8.72/8.88    11  6         16
% 8.72/8.88    12  238       118
% 8.72/8.88    14  139       46
% 8.72/8.88    15  3         0
% 8.72/8.88  tot:  2897      539      (15.7% true)
% 8.72/8.88  
% 8.72/8.88  
% 8.72/8.88  Model 51 [ 37 2 144 ] (0.00 seconds, 250000 Inserts)
% 8.72/8.88  
% 8.72/8.88  That finishes the proof of the theorem.
% 8.72/8.88  
% 8.72/8.88  Process 26281 finished Mon Jun  6 23:09:30 2022
%------------------------------------------------------------------------------