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SOS---2.0.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : FLD024-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n027.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 02:27:40 EDT 2022

% Result   : Unsatisfiable 3.46s 3.68s
% Output   : Refutation 3.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : FLD024-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n027.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 18:12:09 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 n027.cluster.edu,
% 0.13/0.36  Mon Jun  6 18:12:09 2022
% 0.13/0.36  The command was "./sos".  The process ID is 9556.
% 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: 53
% 0.19/0.44  percentage of clauses intially in UL: 90
% 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: 12
% 0.19/0.44     distinct predicate count: 4
% 0.19/0.44     distinct function count: 4
% 0.19/0.44     distinct constant count: 4
% 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 ===========
% 3.46/3.68  
% 3.46/3.68  -------- PROOF -------- 
% 3.46/3.68  % SZS status Unsatisfiable
% 3.46/3.68  % SZS output start Refutation
% 3.46/3.68  
% 3.46/3.68  Stopped by limit on insertions
% 3.46/3.68  
% 3.46/3.68  Model 3 [ 1 1 250 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.68  
% 3.46/3.68  Stopped by limit on insertions
% 3.46/3.68  
% 3.46/3.68  Model 4 [ 2 2 106 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.68  
% 3.46/3.68  Stopped by limit on insertions
% 3.46/3.68  
% 3.46/3.68  Model 5 [ 2 2 400 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.68  
% 3.46/3.68  Stopped by limit on insertions
% 3.46/3.68  
% 3.46/3.68  Model 6 [ 2 2 346 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.68  
% 3.46/3.68  Stopped by limit on insertions
% 3.46/3.68  
% 3.46/3.68  Model 7 [ 3 2 121 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.68  
% 3.46/3.68  Stopped by limit on insertions
% 3.46/3.68  
% 3.46/3.68  Model 8 [ 2 2 102 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.68  
% 3.46/3.68  Stopped by limit on insertions
% 3.46/3.68  
% 3.46/3.68  Model 9 [ 2 1 191 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.68  
% 3.46/3.68  Stopped by limit on insertions
% 3.46/3.68  
% 3.46/3.68  Model 10 [ 4 1 430 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.68  
% 3.46/3.68  Stopped by limit on insertions
% 3.46/3.68  
% 3.46/3.68  Model 11 [ 2 1 103 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.68  
% 3.46/3.68  Stopped by limit on insertions
% 3.46/3.68  
% 3.46/3.68  Model 12 [ 2 2 103 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.68  
% 3.46/3.68  Stopped by limit on insertions
% 3.46/3.68  
% 3.46/3.68  Model 13 [ 3 1 354 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.68  
% 3.46/3.68  Stopped by limit on insertions
% 3.46/3.68  
% 3.46/3.68  Model 14 [ 4 2 104 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.68  
% 3.46/3.68  Stopped by limit on insertions
% 3.46/3.68  
% 3.46/3.68  Model 15 [ 4 1 123 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.68  
% 3.46/3.68  Stopped by limit on insertions
% 3.46/3.68  
% 3.46/3.68  Model 16 [ 4 2 126 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.68  
% 3.46/3.68  Stopped by limit on insertions
% 3.46/3.68  
% 3.46/3.68  Model 17 [ 16 2 193 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.68  
% 3.46/3.68  Stopped by limit on insertions
% 3.46/3.68  
% 3.46/3.68  Model 18 [ 17 2 110 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.68  
% 3.46/3.68  Stopped by limit on insertions
% 3.46/3.68  
% 3.46/3.68  Model 19 [ 4 2 103 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.68  
% 3.46/3.68  Stopped by limit on insertions
% 3.46/3.68  
% 3.46/3.68  Model 20 [ 2 1 3619 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.68  
% 3.46/3.68  Stopped by limit on insertions
% 3.46/3.68  
% 3.46/3.68  Model 21 [ 18 2 270 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.68  
% 3.46/3.69  Stopped by limit on insertions
% 3.46/3.69  
% 3.46/3.69  Model 22 [ 4 2 251 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.69  
% 3.46/3.69  Stopped by limit on insertions
% 3.46/3.69  
% 3.46/3.69  Model 23 [ 6 1 107 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.69  
% 3.46/3.69  Stopped by limit on insertions
% 3.46/3.69  
% 3.46/3.69  Model 24 [ 20 1 203 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.69  
% 3.46/3.69  Stopped by limit on insertions
% 3.46/3.69  
% 3.46/3.69  Model 25 [ 4 1 106 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.69  
% 3.46/3.69  Stopped by limit on insertions
% 3.46/3.69  
% 3.46/3.69  Model 26 [ 8 1 492 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.69  
% 3.46/3.69  Stopped by limit on insertions
% 3.46/3.69  
% 3.46/3.69  Model 27 [ 18 2 193 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.69  
% 3.46/3.69  Stopped by limit on insertions
% 3.46/3.69  
% 3.46/3.69  Model 28 [ 9 3 38565 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.69  
% 3.46/3.69  Stopped by limit on insertions
% 3.46/3.69  
% 3.46/3.69  Model 29 [ 3 2 167 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.69  
% 3.46/3.69  Stopped by limit on insertions
% 3.46/3.69  
% 3.46/3.69  Model 30 [ 13 2 25500 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.69  
% 3.46/3.69  Stopped by limit on insertions
% 3.46/3.69  
% 3.46/3.69  Model 31 [ 3 1 147 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.69  
% 3.46/3.69  Stopped by limit on insertions
% 3.46/3.69  
% 3.46/3.69  Model 32 [ 6 4 102185 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.69  
% 3.46/3.69  Stopped by limit on insertions
% 3.46/3.69  
% 3.46/3.69  Model 33 [ 3 1 111 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.69  
% 3.46/3.69  Stopped by limit on insertions
% 3.46/3.69  
% 3.46/3.69  Model 34 [ 22 2 211 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.69  
% 3.46/3.69  Stopped by limit on insertions
% 3.46/3.69  
% 3.46/3.69  Model 35 [ 27 2 107 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.69  
% 3.46/3.69  Stopped by limit on insertions
% 3.46/3.69  
% 3.46/3.69  Model 36 [ 8 2 821 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.69  
% 3.46/3.69  Stopped by limit on insertions
% 3.46/3.69  
% 3.46/3.69  Model 37 [ 27 1 418 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.69  
% 3.46/3.69  ----> UNIT CONFLICT at   3.29 sec ----> 2618 [binary,2617.1,25.1] {-} $F.
% 3.46/3.69  
% 3.46/3.69  Length of proof is 4.  Level of proof is 3.
% 3.46/3.69  
% 3.46/3.69  ---------------- PROOF ----------------
% 3.46/3.69  % SZS status Unsatisfiable
% 3.46/3.69  % SZS output start Refutation
% 3.46/3.69  
% 3.46/3.69  2 [] {+} sum(A,B,C)| -sum(D,E,A)| -sum(E,B,F)| -sum(D,F,C).
% 3.46/3.69  3 [] {+} sum(additive_identity,A,A)| -defined(A).
% 3.46/3.69  4 [] {+} sum(additive_inverse(A),A,additive_identity)| -defined(A).
% 3.46/3.69  5 [] {+} sum(A,B,C)| -sum(B,A,C).
% 3.46/3.69  25 [] {+} -sum(additive_identity,a,b).
% 3.46/3.69  51 [] {+} defined(a).
% 3.46/3.69  52 [] {+} defined(b).
% 3.46/3.69  53 [] {-} sum(b,additive_inverse(a),additive_identity).
% 3.46/3.69  113 [hyper,52,3] {+} sum(additive_identity,b,b).
% 3.46/3.69  150 [hyper,51,4] {+} sum(additive_inverse(a),a,additive_identity).
% 3.46/3.69  1316 [hyper,113,5] {+} sum(b,additive_identity,b).
% 3.46/3.69  2617 [hyper,1316,2,53,150] {-} sum(additive_identity,a,b).
% 3.46/3.69  2618 [binary,2617.1,25.1] {-} $F.
% 3.46/3.69  
% 3.46/3.69  % SZS output end Refutation
% 3.46/3.69  ------------ end of proof -------------
% 3.46/3.69  
% 3.46/3.69  
% 3.46/3.69  Search stopped by max_proofs option.
% 3.46/3.69  
% 3.46/3.69  
% 3.46/3.69  Search stopped by max_proofs option.
% 3.46/3.69  
% 3.46/3.69  ============ end of search ============
% 3.46/3.69  
% 3.46/3.69  ----------- soft-scott stats ----------
% 3.46/3.69  
% 3.46/3.69  true clauses given           5      (11.6%)
% 3.46/3.69  false clauses given         38
% 3.46/3.69  
% 3.46/3.69        FALSE     TRUE
% 3.46/3.69     4  24        1
% 3.46/3.69     5  88        5
% 3.46/3.69     6  286       40
% 3.46/3.69     7  249       17
% 3.46/3.69     8  472       90
% 3.46/3.69     9  18        4
% 3.46/3.69    10  73        264
% 3.46/3.69    11  13        0
% 3.46/3.69    12  52        251
% 3.46/3.69    14  104       451
% 3.46/3.69    15  0         13
% 3.46/3.69  tot:  1379      1136      (45.2% true)
% 3.46/3.69  
% 3.46/3.69  
% 3.46/3.69  Model 37 [ 27 1 418 ] (0.00 seconds, 250000 Inserts)
% 3.46/3.69  
% 3.46/3.69  That finishes the proof of the theorem.
% 3.46/3.69  
% 3.46/3.69  Process 9556 finished Mon Jun  6 18:12:13 2022
%------------------------------------------------------------------------------