TSTP Solution File: FLD055-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : FLD055-3 : 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 02:27:53 EDT 2022

% Result   : Unsatisfiable 4.83s 5.08s
% Output   : Refutation 4.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : FLD055-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.09  % Command  : sos-script %s
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 600
% 0.08/0.28  % DateTime : Mon Jun  6 10:53:49 EDT 2022
% 0.08/0.28  % CPUTime  : 
% 0.08/0.30  ----- Otter 3.2, August 2001 -----
% 0.08/0.30  The process was started by sandbox on n032.cluster.edu,
% 0.08/0.30  Mon Jun  6 10:53:49 2022
% 0.08/0.30  The command was "./sos".  The process ID is 32068.
% 0.08/0.30  
% 0.08/0.30  set(prolog_style_variables).
% 0.08/0.30  set(auto).
% 0.08/0.30     dependent: set(auto1).
% 0.08/0.30     dependent: set(process_input).
% 0.08/0.30     dependent: clear(print_kept).
% 0.08/0.30     dependent: clear(print_new_demod).
% 0.08/0.30     dependent: clear(print_back_demod).
% 0.08/0.30     dependent: clear(print_back_sub).
% 0.08/0.30     dependent: set(control_memory).
% 0.08/0.30     dependent: assign(max_mem, 12000).
% 0.08/0.30     dependent: assign(pick_given_ratio, 4).
% 0.08/0.30     dependent: assign(stats_level, 1).
% 0.08/0.30     dependent: assign(pick_semantic_ratio, 3).
% 0.08/0.30     dependent: assign(sos_limit, 5000).
% 0.08/0.30     dependent: assign(max_weight, 60).
% 0.08/0.30  clear(print_given).
% 0.08/0.30  
% 0.08/0.30  list(usable).
% 0.08/0.30  
% 0.08/0.30  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 0.08/0.30  
% 0.08/0.30  This is a non-Horn set without equality.  The strategy
% 0.08/0.30  will be ordered hyper_res, ur_res, unit deletion, and
% 0.08/0.30  factoring, with satellites in sos and nuclei in usable.
% 0.08/0.30  
% 0.08/0.30     dependent: set(hyper_res).
% 0.08/0.30     dependent: set(factor).
% 0.08/0.30     dependent: set(unit_deletion).
% 0.08/0.30  
% 0.08/0.30  ------------> process usable:
% 0.08/0.30  
% 0.08/0.30  ------------> process sos:
% 0.08/0.30  
% 0.08/0.30  ======= end of input processing =======
% 0.13/0.35  
% 0.13/0.35  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.35  
% 0.13/0.35  Stopped by limit on number of solutions
% 0.13/0.35  
% 0.13/0.35  
% 0.13/0.35  -------------- Softie stats --------------
% 0.13/0.35  
% 0.13/0.35  UPDATE_STOP: 300
% 0.13/0.35  SFINDER_TIME_LIMIT: 2
% 0.13/0.35  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.35  number of clauses in intial UL: 48
% 0.13/0.35  number of clauses initially in problem: 55
% 0.13/0.35  percentage of clauses intially in UL: 87
% 0.13/0.35  percentage of distinct symbols occuring in initial UL: 92
% 0.13/0.35  percent of all initial clauses that are short: 100
% 0.13/0.35  absolute distinct symbol count: 13
% 0.13/0.35     distinct predicate count: 4
% 0.13/0.35     distinct function count: 4
% 0.13/0.35     distinct constant count: 5
% 0.13/0.35  
% 0.13/0.35  ---------- no more Softie stats ----------
% 0.13/0.35  
% 0.13/0.35  
% 0.13/0.35  
% 0.13/0.35  Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.35  
% 0.13/0.35  Stopped by limit on number of solutions
% 0.13/0.35  
% 0.13/0.35  =========== start of search ===========
% 4.60/4.87  
% 4.60/4.87  
% 4.60/4.87  Changing weight limit from 60 to 14.
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 3 [ 1 2 109 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 4 [ 1 2 178 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 5 [ 2 1 237 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 6 [ 2 1 103 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 7 [ 2 1 369 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 8 [ 4 2 105 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 9 [ 4 2 123 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 10 [ 4 1 144 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 11 [ 3 1 106 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 12 [ 8 1 201 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 13 [ 5 1 437 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 14 [ 4 1 308 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 15 [ 4 1 189 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 16 [ 5 1 391 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 17 [ 5 1 136 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 18 [ 5 1 155 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 19 [ 3 2 21274 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 20 [ 6 2 7288 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 21 [ 6 2 108 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 22 [ 3 4 112842 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 23 [ 18 1 247 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 24 [ 5 1 347 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 25 [ 4 1 498 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 26 [ 23 2 200 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 27 [ 8 5 98608 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 28 [ 7 1 652 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 29 [ 7 1 260 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 30 [ 24 1 118 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 31 [ 6 1 110 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 32 [ 9 1 133 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 33 [ 24 1 149 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 34 [ 9 1 315 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 35 [ 30 1 105 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 36 [ 10 1 447 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 37 [ 25 1 144 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 38 [ 12 1 112 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 39 [ 33 2 104 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Stopped by limit on insertions
% 4.60/4.87  
% 4.60/4.87  Model 40 [ 10 1 108 ] (0.00 seconds, 250000 Inserts)
% 4.60/4.87  
% 4.60/4.87  Resetting weight limit to 14 after 50 givens.
% 4.60/4.87  
% 4.83/5.08  
% 4.83/5.08  -------- PROOF -------- 
% 4.83/5.08  % SZS status Unsatisfiable
% 4.83/5.08  % SZS output start Refutation
% 4.83/5.08  
% 4.83/5.08  Stopped by limit on insertions
% 4.83/5.08  
% 4.83/5.08  Model 41 [ 12 1 122 ] (0.00 seconds, 250000 Inserts)
% 4.83/5.08  
% 4.83/5.08  ----> UNIT CONFLICT at   4.73 sec ----> 3074 [binary,3073.1,25.1] {-} $F.
% 4.83/5.08  
% 4.83/5.08  Length of proof is 4.  Level of proof is 3.
% 4.83/5.08  
% 4.83/5.08  ---------------- PROOF ----------------
% 4.83/5.08  % SZS status Unsatisfiable
% 4.83/5.08  % SZS output start Refutation
% 4.83/5.08  
% 4.83/5.08  3 [] {+} sum(additive_identity,A,A)| -defined(A).
% 4.83/5.08  5 [] {+} sum(A,B,C)| -sum(B,A,C).
% 4.83/5.08  22 [] {+} less_or_equal(A,B)| -less_or_equal(C,D)| -sum(C,E,A)| -sum(D,E,B).
% 4.83/5.08  25 [] {+} -less_or_equal(a,c).
% 4.83/5.08  51 [] {+} defined(a).
% 4.83/5.08  54 [] {+} less_or_equal(a,b).
% 4.83/5.08  55 [] {+} sum(additive_identity,b,c).
% 4.83/5.08  115 [hyper,51,3] {+} sum(additive_identity,a,a).
% 4.83/5.08  200 [hyper,55,5] {+} sum(b,additive_identity,c).
% 4.83/5.08  2003 [hyper,115,5] {+} sum(a,additive_identity,a).
% 4.83/5.08  3073 [hyper,2003,22,54,200] {-} less_or_equal(a,c).
% 4.83/5.08  3074 [binary,3073.1,25.1] {-} $F.
% 4.83/5.08  
% 4.83/5.08  % SZS output end Refutation
% 4.83/5.08  ------------ end of proof -------------
% 4.83/5.08  
% 4.83/5.08  
% 4.83/5.08  Search stopped by max_proofs option.
% 4.83/5.08  
% 4.83/5.08  
% 4.83/5.08  Search stopped by max_proofs option.
% 4.83/5.08  
% 4.83/5.08  ============ end of search ============
% 4.83/5.08  
% 4.83/5.08  ----------- soft-scott stats ----------
% 4.83/5.08  
% 4.83/5.08  true clauses given          10      (19.2%)
% 4.83/5.08  false clauses given         42
% 4.83/5.08  
% 4.83/5.08        FALSE     TRUE
% 4.83/5.08     4  1         44
% 4.83/5.08     5  2         129
% 4.83/5.08     6  13        417
% 4.83/5.08     7  1         327
% 4.83/5.08     8  0         610
% 4.83/5.08     9  0         24
% 4.83/5.08    10  0         434
% 4.83/5.08    11  0         13
% 4.83/5.08    12  0         379
% 4.83/5.08    14  0         483
% 4.83/5.08  tot:  17        2860      (99.4% true)
% 4.83/5.08  
% 4.83/5.08  
% 4.83/5.08  Model 41 [ 12 1 122 ] (0.00 seconds, 250000 Inserts)
% 4.83/5.08  
% 4.83/5.08  That finishes the proof of the theorem.
% 4.83/5.08  
% 4.83/5.08  Process 32068 finished Mon Jun  6 10:53:54 2022
%------------------------------------------------------------------------------