TSTP Solution File: SET242-6 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET242-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n018.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 : Tue Jul 19 05:17:01 EDT 2022

% Result   : Unsatisfiable 5.93s 6.17s
% Output   : Refutation 5.93s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET242-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jul  9 17:45:26 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.36  ----- Otter 3.2, August 2001 -----
% 0.19/0.36  The process was started by sandbox2 on n018.cluster.edu,
% 0.19/0.36  Sat Jul  9 17:45:26 2022
% 0.19/0.36  The command was "./sos".  The process ID is 4991.
% 0.19/0.36  
% 0.19/0.36  set(prolog_style_variables).
% 0.19/0.36  set(auto).
% 0.19/0.36     dependent: set(auto1).
% 0.19/0.36     dependent: set(process_input).
% 0.19/0.36     dependent: clear(print_kept).
% 0.19/0.36     dependent: clear(print_new_demod).
% 0.19/0.36     dependent: clear(print_back_demod).
% 0.19/0.36     dependent: clear(print_back_sub).
% 0.19/0.36     dependent: set(control_memory).
% 0.19/0.36     dependent: assign(max_mem, 12000).
% 0.19/0.36     dependent: assign(pick_given_ratio, 4).
% 0.19/0.36     dependent: assign(stats_level, 1).
% 0.19/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.36     dependent: assign(sos_limit, 5000).
% 0.19/0.36     dependent: assign(max_weight, 60).
% 0.19/0.36  clear(print_given).
% 0.19/0.36  
% 0.19/0.36  list(usable).
% 0.19/0.36  
% 0.19/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.19/0.36  
% 0.19/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.19/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.36  clauses in usable.
% 0.19/0.36  
% 0.19/0.36     dependent: set(knuth_bendix).
% 0.19/0.36     dependent: set(para_from).
% 0.19/0.36     dependent: set(para_into).
% 0.19/0.36     dependent: clear(para_from_right).
% 0.19/0.36     dependent: clear(para_into_right).
% 0.19/0.36     dependent: set(para_from_vars).
% 0.19/0.36     dependent: set(eq_units_both_ways).
% 0.19/0.36     dependent: set(dynamic_demod_all).
% 0.19/0.36     dependent: set(dynamic_demod).
% 0.19/0.36     dependent: set(order_eq).
% 0.19/0.36     dependent: set(back_demod).
% 0.19/0.36     dependent: set(lrpo).
% 0.19/0.36     dependent: set(hyper_res).
% 0.19/0.36     dependent: set(unit_deletion).
% 0.19/0.36     dependent: set(factor).
% 0.19/0.36  
% 0.19/0.36  ------------> process usable:
% 0.19/0.36  
% 0.19/0.36  ------------> process sos:
% 0.19/0.36    Following clause subsumed by 165 during input processing: 0 [copy,165,flip.1] {-} A=A.
% 0.19/0.36  165 back subsumes 74.
% 0.19/0.36  
% 0.19/0.36  ======= end of input processing =======
% 0.46/0.64  
% 0.46/0.64  Model 1 (0.00 seconds, 0 Inserts)
% 0.46/0.64  
% 0.46/0.64  Stopped by limit on number of solutions
% 0.46/0.64  
% 0.46/0.64  
% 0.46/0.64  -------------- Softie stats --------------
% 0.46/0.64  
% 0.46/0.64  UPDATE_STOP: 300
% 0.46/0.64  SFINDER_TIME_LIMIT: 2
% 0.46/0.64  SHORT_CLAUSE_CUTOFF: 4
% 0.46/0.64  number of clauses in intial UL: 60
% 0.46/0.64  number of clauses initially in problem: 146
% 0.46/0.64  percentage of clauses intially in UL: 41
% 0.46/0.64  percentage of distinct symbols occuring in initial UL: 67
% 0.46/0.64  percent of all initial clauses that are short: 100
% 0.46/0.64  absolute distinct symbol count: 61
% 0.46/0.64     distinct predicate count: 11
% 0.46/0.64     distinct function count: 34
% 0.46/0.64     distinct constant count: 16
% 0.46/0.64  
% 0.46/0.64  ---------- no more Softie stats ----------
% 0.46/0.64  
% 0.46/0.64  
% 0.46/0.64  
% 0.46/0.64  Stopped by limit on insertions
% 0.46/0.64  
% 0.46/0.64  =========== start of search ===========
% 5.93/6.17  
% 5.93/6.17  -------- PROOF -------- 
% 5.93/6.17  % SZS status Unsatisfiable
% 5.93/6.17  % SZS output start Refutation
% 5.93/6.17  
% 5.93/6.17  Stopped by limit on insertions
% 5.93/6.17  
% 5.93/6.17  Model 2 [ 1 4 33640 ] (0.00 seconds, 250000 Inserts)
% 5.93/6.17  
% 5.93/6.17  Stopped by limit on insertions
% 5.93/6.17  
% 5.93/6.17  Model 3 [ 2 0 2943 ] (0.00 seconds, 250000 Inserts)
% 5.93/6.17  
% 5.93/6.17  Stopped by limit on insertions
% 5.93/6.17  
% 5.93/6.17  Stopped by limit on insertions
% 5.93/6.17  
% 5.93/6.17  Stopped by limit on insertions
% 5.93/6.17  
% 5.93/6.17  Model 4 [ 14 2 8910 ] (0.00 seconds, 250000 Inserts)
% 5.93/6.17  
% 5.93/6.17  Stopped by limit on insertions
% 5.93/6.17  
% 5.93/6.17  Stopped by limit on insertions
% 5.93/6.17  
% 5.93/6.17  Stopped by limit on insertions
% 5.93/6.17  
% 5.93/6.17  Model 5 [ 17 2 21496 ] (0.00 seconds, 250000 Inserts)
% 5.93/6.17  
% 5.93/6.17  Stopped by limit on insertions
% 5.93/6.17  
% 5.93/6.17  Stopped by limit on insertions
% 5.93/6.17  
% 5.93/6.17  Stopped by limit on insertions
% 5.93/6.17  
% 5.93/6.17  Stopped by limit on insertions
% 5.93/6.17  
% 5.93/6.17  Stopped by limit on insertions
% 5.93/6.17  
% 5.93/6.17  Model 6 [ 18 2 15810 ] (0.00 seconds, 250000 Inserts)
% 5.93/6.17  
% 5.93/6.17  Stopped by limit on insertions
% 5.93/6.17  
% 5.93/6.17  Stopped by limit on insertions
% 5.93/6.17  
% 5.93/6.17  Stopped by limit on insertions
% 5.93/6.17  
% 5.93/6.17  Model 7 [ 9 2 21627 ] (0.00 seconds, 250000 Inserts)
% 5.93/6.17  
% 5.93/6.17  Stopped by limit on insertions
% 5.93/6.17  
% 5.93/6.17  Stopped by limit on insertions
% 5.93/6.17  
% 5.93/6.17  ----> UNIT CONFLICT at   5.79 sec ----> 861 [binary,860.1,73.1] {+} $F.
% 5.93/6.17  
% 5.93/6.17  Length of proof is 1.  Level of proof is 1.
% 5.93/6.17  
% 5.93/6.17  ---------------- PROOF ----------------
% 5.93/6.17  % SZS status Unsatisfiable
% 5.93/6.17  % SZS output start Refutation
% 5.93/6.17  
% 5.93/6.17  17 [] {+} -member(A,B)| -member(A,C)|member(A,intersection(B,C)).
% 5.93/6.17  73 [] {+} -member(z,restrict(xr,x,y)).
% 5.93/6.17  98,97 [] {-} intersection(A,cross_product(B,C))=restrict(A,B,C).
% 5.93/6.17  163 [] {+} member(z,xr).
% 5.93/6.17  164 [] {+} member(z,cross_product(x,y)).
% 5.93/6.17  860 [hyper,164,17,163,demod,98] {-} member(z,restrict(xr,x,y)).
% 5.93/6.17  861 [binary,860.1,73.1] {+} $F.
% 5.93/6.17  
% 5.93/6.17  % SZS output end Refutation
% 5.93/6.17  ------------ end of proof -------------
% 5.93/6.17  
% 5.93/6.17  
% 5.93/6.17  Search stopped by max_proofs option.
% 5.93/6.17  
% 5.93/6.17  
% 5.93/6.17  Search stopped by max_proofs option.
% 5.93/6.17  
% 5.93/6.17  ============ end of search ============
% 5.93/6.17  
% 5.93/6.17  ----------- soft-scott stats ----------
% 5.93/6.17  
% 5.93/6.17  true clauses given           4      (13.8%)
% 5.93/6.17  false clauses given         25
% 5.93/6.17  
% 5.93/6.17        FALSE     TRUE
% 5.93/6.17     5  0         13
% 5.93/6.17     6  2         6
% 5.93/6.17     7  14        43
% 5.93/6.17     8  18        32
% 5.93/6.17     9  65        57
% 5.93/6.17    10  24        49
% 5.93/6.17    11  79        53
% 5.93/6.17    12  3         12
% 5.93/6.17    13  31        78
% 5.93/6.17    14  8         5
% 5.93/6.17    15  7         27
% 5.93/6.17    16  1         3
% 5.93/6.17    17  4         12
% 5.93/6.17    18  3         2
% 5.93/6.17    19  4         1
% 5.93/6.17    20  3         3
% 5.93/6.17    21  4         0
% 5.93/6.17    22  3         1
% 5.93/6.17    23  6         1
% 5.93/6.17    24  0         1
% 5.93/6.17    25  2         0
% 5.93/6.17    26  4         1
% 5.93/6.17    27  1         0
% 5.93/6.17    28  0         2
% 5.93/6.17    42  1         0
% 5.93/6.17  tot:  287       402      (58.3% true)
% 5.93/6.17  
% 5.93/6.17  
% 5.93/6.17  Model 7 [ 9 -57 21627 ] (0.00 seconds, 250000 Inserts)
% 5.93/6.17  
% 5.93/6.17  That finishes the proof of the theorem.
% 5.93/6.17  
% 5.93/6.17  Process 4991 finished Sat Jul  9 17:45:32 2022
%------------------------------------------------------------------------------