TSTP Solution File: SET629+3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET629+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n006.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 05:19:37 EDT 2022

% Result   : Theorem 8.55s 8.74s
% Output   : Refutation 8.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET629+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul 10 09:56:51 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.36  ----- Otter 3.2, August 2001 -----
% 0.12/0.36  The process was started by sandbox2 on n006.cluster.edu,
% 0.12/0.36  Sun Jul 10 09:56:51 2022
% 0.12/0.36  The command was "./sos".  The process ID is 27819.
% 0.12/0.36  
% 0.12/0.36  set(prolog_style_variables).
% 0.12/0.36  set(auto).
% 0.12/0.36     dependent: set(auto1).
% 0.12/0.36     dependent: set(process_input).
% 0.12/0.36     dependent: clear(print_kept).
% 0.12/0.36     dependent: clear(print_new_demod).
% 0.12/0.36     dependent: clear(print_back_demod).
% 0.12/0.36     dependent: clear(print_back_sub).
% 0.12/0.36     dependent: set(control_memory).
% 0.12/0.36     dependent: assign(max_mem, 12000).
% 0.12/0.36     dependent: assign(pick_given_ratio, 4).
% 0.12/0.36     dependent: assign(stats_level, 1).
% 0.12/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36     dependent: assign(sos_limit, 5000).
% 0.12/0.36     dependent: assign(max_weight, 60).
% 0.12/0.36  clear(print_given).
% 0.12/0.36  
% 0.12/0.36  formula_list(usable).
% 0.12/0.36  
% 0.12/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 0.12/0.36  
% 0.12/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.12/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.36  clauses in usable.
% 0.12/0.36  
% 0.12/0.36     dependent: set(knuth_bendix).
% 0.12/0.36     dependent: set(para_from).
% 0.12/0.36     dependent: set(para_into).
% 0.12/0.36     dependent: clear(para_from_right).
% 0.12/0.36     dependent: clear(para_into_right).
% 0.12/0.36     dependent: set(para_from_vars).
% 0.12/0.36     dependent: set(eq_units_both_ways).
% 0.12/0.36     dependent: set(dynamic_demod_all).
% 0.12/0.36     dependent: set(dynamic_demod).
% 0.12/0.36     dependent: set(order_eq).
% 0.12/0.36     dependent: set(back_demod).
% 0.12/0.36     dependent: set(lrpo).
% 0.12/0.36     dependent: set(hyper_res).
% 0.12/0.36     dependent: set(unit_deletion).
% 0.12/0.36     dependent: set(factor).
% 0.12/0.36  
% 0.12/0.36  ------------> process usable:
% 0.12/0.36  
% 0.12/0.36  ------------> process sos:
% 0.12/0.36    Following clause subsumed by 20 during input processing: 0 [copy,20,flip.1] {-} intersection(A,B)=intersection(B,A).
% 0.12/0.36    Following clause subsumed by 22 during input processing: 0 [copy,22,flip.1] {-} A=A.
% 0.12/0.36  22 back subsumes 18.
% 0.12/0.36  
% 0.12/0.36  ======= end of input processing =======
% 0.38/0.56  
% 0.38/0.56  Model 1 (0.00 seconds, 0 Inserts)
% 0.38/0.56  
% 0.38/0.56  Stopped by limit on number of solutions
% 0.38/0.56  
% 0.38/0.56  
% 0.38/0.56  -------------- Softie stats --------------
% 0.38/0.56  
% 0.38/0.56  UPDATE_STOP: 300
% 0.38/0.56  SFINDER_TIME_LIMIT: 2
% 0.38/0.56  SHORT_CLAUSE_CUTOFF: 4
% 0.38/0.56  number of clauses in intial UL: 17
% 0.38/0.56  number of clauses initially in problem: 21
% 0.38/0.56  percentage of clauses intially in UL: 80
% 0.38/0.56  percentage of distinct symbols occuring in initial UL: 100
% 0.38/0.56  percent of all initial clauses that are short: 100
% 0.38/0.56  absolute distinct symbol count: 10
% 0.38/0.56     distinct predicate count: 4
% 0.38/0.56     distinct function count: 4
% 0.38/0.56     distinct constant count: 2
% 0.38/0.56  
% 0.38/0.56  ---------- no more Softie stats ----------
% 0.38/0.56  
% 0.38/0.56  
% 0.38/0.56  
% 0.38/0.56  Stopped by limit on insertions
% 0.38/0.56  
% 0.38/0.56  =========== start of search ===========
% 8.55/8.74  
% 8.55/8.74  -------- PROOF -------- 
% 8.55/8.74  % SZS status Theorem
% 8.55/8.74  % SZS output start Refutation
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 2 [ 2 0 1270 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 3 [ 2 0 342 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 4 [ 2 1 528 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 5 [ 3 0 1129 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 6 [ 6 0 1068 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 7 [ 6 1 411 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 8 [ 6 0 115 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 9 [ 6 1 263 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 10 [ 8 0 3067 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 11 [ 8 1 9960 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 12 [ 8 0 237 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 13 [ 9 0 163 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 14 [ 9 2 20914 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 15 [ 13 1 3979 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 16 [ 11 1 7982 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 17 [ 12 1 139 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 18 [ 12 11 122787 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 19 [ 14 0 515 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 20 [ 16 0 2002 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 21 [ 22 0 2180 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 22 [ 23 0 688 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 23 [ 24 1 4333 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 24 [ 25 3 32133 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 25 [ 25 3 24526 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 26 [ 26 1 5749 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Model 27 [ 26 0 1164 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  Stopped by limit on insertions
% 8.55/8.74  
% 8.55/8.74  ----> UNIT CONFLICT at   8.35 sec ----> 854 [binary,853.1,15.1] {-} $F.
% 8.55/8.74  
% 8.55/8.74  Length of proof is 6.  Level of proof is 4.
% 8.55/8.74  
% 8.55/8.74  ---------------- PROOF ----------------
% 8.55/8.74  % SZS status Theorem
% 8.55/8.74  % SZS output start Refutation
% 8.55/8.74  
% 8.55/8.74  2 [] {+} -member(A,intersection(B,C))|member(A,C).
% 8.55/8.74  5 [] {+} -member(A,difference(B,C))| -member(A,C).
% 8.55/8.74  7 [] {+} -intersect(A,B)|member($f1(A,B),A).
% 8.55/8.74  8 [] {+} -intersect(A,B)|member($f1(A,B),B).
% 8.55/8.74  10 [] {+} -disjoint(A,B)| -intersect(A,B).
% 8.55/8.74  11 [] {+} -intersect(A,B)|intersect(B,A).
% 8.55/8.74  15 [] {+} -disjoint(intersection($c2,$c1),difference($c2,$c1)).
% 8.55/8.74  19 [] {-} disjoint(A,B)|intersect(A,B).
% 8.55/8.74  23 [hyper,19,11] {-} disjoint(A,B)|intersect(B,A).
% 8.55/8.74  24 [hyper,19,8] {+} disjoint(A,B)|member($f1(A,B),B).
% 8.55/8.74  25 [hyper,19,7] {+} disjoint(A,B)|member($f1(A,B),A).
% 8.55/8.74  35 [hyper,24,2] {+} disjoint(A,intersection(B,C))|member($f1(A,intersection(B,C)),C).
% 8.55/8.74  669 [hyper,35,5,25,factor_simp] {+} disjoint(difference(A,B),intersection(C,B)).
% 8.55/8.74  853 [hyper,669,10,23] {-} disjoint(intersection(A,B),difference(C,B)).
% 8.55/8.74  854 [binary,853.1,15.1] {-} $F.
% 8.55/8.74  
% 8.55/8.74  % SZS output end Refutation
% 8.55/8.74  ------------ end of proof -------------
% 8.55/8.74  
% 8.55/8.74  
% 8.55/8.74  Search stopped by max_proofs option.
% 8.55/8.74  
% 8.55/8.74  
% 8.55/8.74  Search stopped by max_proofs option.
% 8.55/8.74  
% 8.55/8.74  ============ end of search ============
% 8.55/8.74  
% 8.55/8.74  ----------- soft-scott stats ----------
% 8.55/8.74  
% 8.55/8.74  true clauses given          11      (20.8%)
% 8.55/8.74  false clauses given         42
% 8.55/8.74  
% 8.55/8.74        FALSE     TRUE
% 8.55/8.74     7  0         4
% 8.55/8.74     8  6         6
% 8.55/8.74     9  3         4
% 8.55/8.74    10  29        20
% 8.55/8.74    11  3         1
% 8.55/8.74    12  41        16
% 8.55/8.74    13  4         5
% 8.55/8.74    14  22        21
% 8.55/8.74    15  15        7
% 8.55/8.74    16  9         24
% 8.55/8.74    17  8         22
% 8.55/8.74    18  8         9
% 8.55/8.74    19  17        27
% 8.55/8.74    20  4         11
% 8.55/8.74    21  15        29
% 8.55/8.74    22  18        38
% 8.55/8.74    23  0         1
% 8.55/8.74    24  5         12
% 8.55/8.74    25  8         30
% 8.55/8.74    26  0         12
% 8.55/8.74    27  3         11
% 8.55/8.74    28  0         6
% 8.55/8.74    29  5         16
% 8.55/8.74    30  6         28
% 8.55/8.74    32  1         7
% 8.55/8.74    33  4         7
% 8.55/8.74    34  0         6
% 8.55/8.74    35  0         10
% 8.55/8.74    36  0         10
% 8.55/8.74    37  0         3
% 8.55/8.74    38  0         4
% 8.55/8.74    39  0         4
% 8.55/8.74    40  0         5
% 8.55/8.74    43  0         3
% 8.55/8.74    44  0         3
% 8.55/8.74    45  0         3
% 8.55/8.74    47  0         2
% 8.55/8.74    48  0         2
% 8.55/8.74    49  0         2
% 8.55/8.74    52  0         3
% 8.55/8.74  tot:  234       434      (65.0% true)
% 8.55/8.74  
% 8.55/8.74  
% 8.55/8.74  Model 27 [ 26 -139 1164 ] (0.00 seconds, 250000 Inserts)
% 8.55/8.74  
% 8.55/8.74  That finishes the proof of the theorem.
% 8.55/8.74  
% 8.55/8.74  Process 27819 finished Sun Jul 10 09:56:59 2022
%------------------------------------------------------------------------------