TSTP Solution File: FLD025-4 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : FLD025-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n022.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 02:27:41 EDT 2022

% Result   : Unsatisfiable 6.22s 6.39s
% Output   : Refutation 6.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : FLD025-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12  % Command  : sos-script %s
% 0.14/0.33  % Computer : n022.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Mon Jun  6 13:56:05 EDT 2022
% 0.14/0.33  % CPUTime  : 
% 0.14/0.35  ----- Otter 3.2, August 2001 -----
% 0.14/0.35  The process was started by sandbox on n022.cluster.edu,
% 0.14/0.35  Mon Jun  6 13:56:05 2022
% 0.14/0.35  The command was "./sos".  The process ID is 13230.
% 0.14/0.35  
% 0.14/0.35  set(prolog_style_variables).
% 0.14/0.35  set(auto).
% 0.14/0.35     dependent: set(auto1).
% 0.14/0.35     dependent: set(process_input).
% 0.14/0.35     dependent: clear(print_kept).
% 0.14/0.35     dependent: clear(print_new_demod).
% 0.14/0.35     dependent: clear(print_back_demod).
% 0.14/0.35     dependent: clear(print_back_sub).
% 0.14/0.35     dependent: set(control_memory).
% 0.14/0.35     dependent: assign(max_mem, 12000).
% 0.14/0.35     dependent: assign(pick_given_ratio, 4).
% 0.14/0.35     dependent: assign(stats_level, 1).
% 0.14/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.35     dependent: assign(sos_limit, 5000).
% 0.14/0.35     dependent: assign(max_weight, 60).
% 0.14/0.35  clear(print_given).
% 0.14/0.35  
% 0.14/0.35  list(usable).
% 0.14/0.35  
% 0.14/0.35  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 0.14/0.35  
% 0.14/0.35  This is a non-Horn set without equality.  The strategy
% 0.14/0.35  will be ordered hyper_res, ur_res, unit deletion, and
% 0.14/0.35  factoring, with satellites in sos and nuclei in usable.
% 0.14/0.35  
% 0.14/0.35     dependent: set(hyper_res).
% 0.14/0.35     dependent: set(factor).
% 0.14/0.35     dependent: set(unit_deletion).
% 0.14/0.35  
% 0.14/0.35  ------------> process usable:
% 0.14/0.35  
% 0.14/0.35  ------------> process sos:
% 0.14/0.35  
% 0.14/0.35  ======= end of input processing =======
% 0.20/0.43  
% 0.20/0.43  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.43  
% 0.20/0.43  Stopped by limit on number of solutions
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  -------------- Softie stats --------------
% 0.20/0.43  
% 0.20/0.43  UPDATE_STOP: 300
% 0.20/0.43  SFINDER_TIME_LIMIT: 2
% 0.20/0.43  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.43  number of clauses in intial UL: 48
% 0.20/0.43  number of clauses initially in problem: 58
% 0.20/0.43  percentage of clauses intially in UL: 82
% 0.20/0.43  percentage of distinct symbols occuring in initial UL: 86
% 0.20/0.43  percent of all initial clauses that are short: 100
% 0.20/0.43  absolute distinct symbol count: 15
% 0.20/0.43     distinct predicate count: 4
% 0.20/0.43     distinct function count: 4
% 0.20/0.43     distinct constant count: 7
% 0.20/0.43  
% 0.20/0.43  ---------- no more Softie stats ----------
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.43  
% 0.20/0.43  Stopped by limit on number of solutions
% 0.20/0.43  
% 0.20/0.43  =========== start of search ===========
% 3.04/3.20  
% 3.04/3.20  
% 3.04/3.20  Changing weight limit from 60 to 14.
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 3 [ 1 2 191 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 4 [ 2 2 156 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 5 [ 2 2 114 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 6 [ 2 1 164 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 7 [ 1 2 306 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 8 [ 3 2 243 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 9 [ 3 2 487 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 10 [ 3 1 181 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 11 [ 4 1 894 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 12 [ 3 1 376 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 13 [ 3 2 129 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 14 [ 11 1 170 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 15 [ 12 1 206 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 16 [ 4 1 125 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 17 [ 12 1 241 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 18 [ 5 1 203 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 19 [ 3 1 218 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 20 [ 5 1 8319 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 21 [ 5 3 43112 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 22 [ 5 1 506 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 23 [ 7 3 115915 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 24 [ 9 2 17276 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 25 [ 20 1 183 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 26 [ 7 2 931 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 27 [ 7 1 423 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 28 [ 18 1 153 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 29 [ 10 2 51357 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 30 [ 9 2 976 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 31 [ 9 2 42759 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Stopped by limit on insertions
% 3.04/3.20  
% 3.04/3.20  Model 32 [ 8 2 129 ] (0.00 seconds, 250000 Inserts)
% 3.04/3.20  
% 3.04/3.20  Resetting weight limit to 14 after 40 givens.
% 3.04/3.20  
% 5.15/5.34  
% 5.15/5.34  
% 5.15/5.34  Changing weight limit from 14 to 10.
% 5.15/5.34  
% 5.15/5.34  Stopped by limit on insertions
% 5.15/5.34  
% 5.15/5.34  Model 33 [ 9 1 281 ] (0.00 seconds, 250000 Inserts)
% 5.15/5.34  
% 5.15/5.34  Stopped by limit on insertions
% 5.15/5.34  
% 5.15/5.34  Model 34 [ 5 1 106 ] (0.00 seconds, 250000 Inserts)
% 5.15/5.34  
% 5.15/5.34  Stopped by limit on insertions
% 5.15/5.34  
% 5.15/5.34  Model 35 [ 28 1 149 ] (0.00 seconds, 250000 Inserts)
% 5.15/5.34  
% 5.15/5.34  Stopped by limit on insertions
% 5.15/5.34  
% 5.15/5.34  Model 36 [ 10 1 105 ] (0.00 seconds, 250000 Inserts)
% 5.15/5.34  
% 5.15/5.34  Stopped by limit on insertions
% 5.15/5.34  
% 5.15/5.34  Model 37 [ 3 1 449 ] (0.00 seconds, 250000 Inserts)
% 5.15/5.34  
% 5.15/5.34  Stopped by limit on insertions
% 5.15/5.34  
% 5.15/5.34  Model 38 [ 32 1 107 ] (0.00 seconds, 250000 Inserts)
% 5.15/5.34  
% 5.15/5.34  Stopped by limit on insertions
% 5.15/5.34  
% 5.15/5.34  Model 39 [ 7 2 124 ] (0.00 seconds, 250000 Inserts)
% 5.15/5.34  
% 5.15/5.34  Stopped by limit on insertions
% 5.15/5.34  
% 5.15/5.34  Model 40 [ 6 12 222573 ] (0.00 seconds, 250000 Inserts)
% 5.15/5.34  
% 5.15/5.34  Stopped by limit on insertions
% 5.15/5.34  
% 5.15/5.34  Model 41 [ 11 2 690 ] (0.00 seconds, 250000 Inserts)
% 5.15/5.34  
% 5.15/5.34  Stopped by limit on insertions
% 5.15/5.34  
% 5.15/5.34  Model 42 [ 4 6 49509 ] (0.00 seconds, 250000 Inserts)
% 5.15/5.34  
% 5.15/5.34  Stopped by limit on insertions
% 5.15/5.34  
% 5.15/5.34  Model 43 [ 12 2 1105 ] (0.00 seconds, 250000 Inserts)
% 5.15/5.34  
% 5.15/5.34  Stopped by limit on insertions
% 5.15/5.34  
% 5.15/5.34  Model 44 [ 12 1 902 ] (0.00 seconds, 250000 Inserts)
% 5.15/5.34  
% 5.15/5.34  Resetting weight limit to 10 after 55 givens.
% 5.15/5.34  
% 6.22/6.39  
% 6.22/6.39  
% 6.22/6.39  Changing weight limit from 10 to 11.
% 6.22/6.39  
% 6.22/6.39  Stopped by limit on insertions
% 6.22/6.39  
% 6.22/6.39  Model 45 [ 4 2 180 ] (0.00 seconds, 250000 Inserts)
% 6.22/6.39  
% 6.22/6.39  Stopped by limit on insertions
% 6.22/6.39  
% 6.22/6.39  Model 46 [ 13 1 125 ] (0.00 seconds, 250000 Inserts)
% 6.22/6.39  
% 6.22/6.39  Stopped by limit on insertions
% 6.22/6.39  
% 6.22/6.39  Stopped by limit on insertions
% 6.22/6.39  
% 6.22/6.39  Model 47 [ 32 1 126 ] (0.00 seconds, 250000 Inserts)
% 6.22/6.39  
% 6.22/6.39  Resetting weight limit to 11 after 60 givens.
% 6.22/6.39  
% 6.22/6.39  
% 6.22/6.39  -------- PROOF -------- 
% 6.22/6.39  % SZS status Unsatisfiable
% 6.22/6.39  % SZS output start Refutation
% 6.22/6.39  
% 6.22/6.39  ----> UNIT CONFLICT at   5.98 sec ----> 4501 [binary,4500.1,25.1] {+} $F.
% 6.22/6.39  
% 6.22/6.39  Length of proof is 6.  Level of proof is 3.
% 6.22/6.39  
% 6.22/6.39  ---------------- PROOF ----------------
% 6.22/6.39  % SZS status Unsatisfiable
% 6.22/6.39  % SZS output start Refutation
% 6.22/6.39  
% 6.22/6.39  6 [] {+} product(A,B,C)| -product(A,D,E)| -product(D,F,B)| -product(E,F,C).
% 6.22/6.39  7 [] {+} product(A,B,C)| -product(D,E,A)| -product(E,B,F)| -product(D,F,C).
% 6.22/6.39  8 [] {+} product(multiplicative_identity,A,A)| -defined(A).
% 6.22/6.39  10 [] {+} product(A,B,C)| -product(B,A,C).
% 6.22/6.39  25 [] {+} -product(d,b,u).
% 6.22/6.39  55 [] {+} defined(u).
% 6.22/6.39  56 [] {+} product(multiplicative_identity,a,b).
% 6.22/6.39  57 [] {+} product(multiplicative_identity,c,d).
% 6.22/6.39  58 [] {+} product(a,c,u).
% 6.22/6.39  154 [hyper,55,8] {+} product(multiplicative_identity,u,u).
% 6.22/6.39  260 [hyper,58,10] {+} product(c,a,u).
% 6.22/6.39  400 [hyper,56,10] {+} product(a,multiplicative_identity,b).
% 6.22/6.39  1995 [hyper,154,10] {+} product(u,multiplicative_identity,u).
% 6.22/6.39  3045 [hyper,260,7,57,154] {+} product(d,a,u).
% 6.22/6.39  4500 [hyper,3045,6,400,1995] {-} product(d,b,u).
% 6.22/6.39  4501 [binary,4500.1,25.1] {+} $F.
% 6.22/6.39  
% 6.22/6.39  % SZS output end Refutation
% 6.22/6.39  ------------ end of proof -------------
% 6.22/6.39  
% 6.22/6.39  
% 6.22/6.39  Search stopped by max_proofs option.
% 6.22/6.39  
% 6.22/6.39  
% 6.22/6.39  Search stopped by max_proofs option.
% 6.22/6.39  
% 6.22/6.39  ============ end of search ============
% 6.22/6.39  
% 6.22/6.39  ----------- soft-scott stats ----------
% 6.22/6.39  
% 6.22/6.39  true clauses given          12      (20.0%)
% 6.22/6.39  false clauses given         48
% 6.22/6.39  
% 6.22/6.39        FALSE     TRUE
% 6.22/6.39     4  91        10
% 6.22/6.39     5  224       8
% 6.22/6.39     6  653       66
% 6.22/6.39     7  487       21
% 6.22/6.39     8  774       85
% 6.22/6.39     9  19        11
% 6.22/6.39    10  180       110
% 6.22/6.39  tot:  2428      311      (11.4% true)
% 6.22/6.39  
% 6.22/6.39  
% 6.22/6.39  Model 47 [ 32 1 126 ] (0.00 seconds, 250000 Inserts)
% 6.22/6.39  
% 6.22/6.39  That finishes the proof of the theorem.
% 6.22/6.39  
% 6.22/6.39  Process 13230 finished Mon Jun  6 13:56:11 2022
%------------------------------------------------------------------------------