TSTP Solution File: SET586+3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET586+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n019.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 05:19:05 EDT 2022

% Result   : Theorem 1.06s 1.27s
% Output   : Refutation 1.06s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SET586+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13  % Command  : sos-script %s
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jul 11 07:27:23 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.36  ----- Otter 3.2, August 2001 -----
% 0.14/0.36  The process was started by sandbox2 on n019.cluster.edu,
% 0.14/0.36  Mon Jul 11 07:27:23 2022
% 0.14/0.36  The command was "./sos".  The process ID is 31016.
% 0.14/0.36  
% 0.14/0.36  set(prolog_style_variables).
% 0.14/0.36  set(auto).
% 0.14/0.36     dependent: set(auto1).
% 0.14/0.36     dependent: set(process_input).
% 0.14/0.36     dependent: clear(print_kept).
% 0.14/0.36     dependent: clear(print_new_demod).
% 0.14/0.36     dependent: clear(print_back_demod).
% 0.14/0.36     dependent: clear(print_back_sub).
% 0.14/0.36     dependent: set(control_memory).
% 0.14/0.36     dependent: assign(max_mem, 12000).
% 0.14/0.36     dependent: assign(pick_given_ratio, 4).
% 0.14/0.36     dependent: assign(stats_level, 1).
% 0.14/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.36     dependent: assign(sos_limit, 5000).
% 0.14/0.36     dependent: assign(max_weight, 60).
% 0.14/0.36  clear(print_given).
% 0.14/0.36  
% 0.14/0.36  formula_list(usable).
% 0.14/0.36  
% 0.14/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 0.14/0.36  
% 0.14/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.14/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.14/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.14/0.36  clauses in usable.
% 0.14/0.36  
% 0.14/0.36     dependent: set(knuth_bendix).
% 0.14/0.36     dependent: set(para_from).
% 0.14/0.36     dependent: set(para_into).
% 0.14/0.36     dependent: clear(para_from_right).
% 0.14/0.36     dependent: clear(para_into_right).
% 0.14/0.36     dependent: set(para_from_vars).
% 0.14/0.36     dependent: set(eq_units_both_ways).
% 0.14/0.36     dependent: set(dynamic_demod_all).
% 0.14/0.36     dependent: set(dynamic_demod).
% 0.14/0.36     dependent: set(order_eq).
% 0.14/0.36     dependent: set(back_demod).
% 0.14/0.36     dependent: set(lrpo).
% 0.14/0.36     dependent: set(hyper_res).
% 0.14/0.36     dependent: set(unit_deletion).
% 0.14/0.36     dependent: set(factor).
% 0.14/0.36  
% 0.14/0.36  ------------> process usable:
% 0.14/0.36  
% 0.14/0.36  ------------> process sos:
% 0.14/0.36    Following clause subsumed by 13 during input processing: 0 [copy,13,flip.1] {-} intersection(A,B)=intersection(B,A).
% 0.14/0.36    Following clause subsumed by 17 during input processing: 0 [copy,17,flip.1] {-} A=A.
% 0.14/0.36  17 back subsumes 11.
% 0.14/0.36  
% 0.14/0.36  ======= end of input processing =======
% 0.14/0.39  
% 0.14/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.14/0.39  
% 0.14/0.39  Stopped by limit on number of solutions
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  -------------- Softie stats --------------
% 0.14/0.39  
% 0.14/0.39  UPDATE_STOP: 300
% 0.14/0.39  SFINDER_TIME_LIMIT: 2
% 0.14/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.14/0.39  number of clauses in intial UL: 10
% 0.14/0.39  number of clauses initially in problem: 16
% 0.14/0.39  percentage of clauses intially in UL: 62
% 0.14/0.39  percentage of distinct symbols occuring in initial UL: 100
% 0.14/0.39  percent of all initial clauses that are short: 100
% 0.14/0.39  absolute distinct symbol count: 9
% 0.14/0.39     distinct predicate count: 3
% 0.14/0.39     distinct function count: 3
% 0.14/0.39     distinct constant count: 3
% 0.14/0.39  
% 0.14/0.39  ---------- no more Softie stats ----------
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  Model 2 (0.00 seconds, 0 Inserts)
% 0.14/0.39  
% 0.14/0.39  Stopped by limit on number of solutions
% 0.14/0.39  
% 0.14/0.39  =========== start of search ===========
% 1.06/1.27  
% 1.06/1.27  -------- PROOF -------- 
% 1.06/1.27  % SZS status Theorem
% 1.06/1.27  % SZS output start Refutation
% 1.06/1.27  
% 1.06/1.27  Stopped by limit on insertions
% 1.06/1.27  
% 1.06/1.27  Model 3 [ 1 0 195 ] (0.00 seconds, 250000 Inserts)
% 1.06/1.27  
% 1.06/1.27  Stopped by limit on insertions
% 1.06/1.27  
% 1.06/1.27  Model 4 [ 2 0 138 ] (0.00 seconds, 250000 Inserts)
% 1.06/1.27  
% 1.06/1.27  Stopped by limit on insertions
% 1.06/1.27  
% 1.06/1.27  Model 5 [ 1 1 153 ] (0.00 seconds, 250000 Inserts)
% 1.06/1.27  
% 1.06/1.27  ----> UNIT CONFLICT at   0.89 sec ----> 4305 [binary,4304.1,9.1] {-} $F.
% 1.06/1.27  
% 1.06/1.27  Length of proof is 6.  Level of proof is 5.
% 1.06/1.27  
% 1.06/1.27  ---------------- PROOF ----------------
% 1.06/1.27  % SZS status Theorem
% 1.06/1.27  % SZS output start Refutation
% 1.06/1.27  
% 1.06/1.27  1 [] {+} -member(A,intersection(B,C))|member(A,B).
% 1.06/1.27  2 [] {+} -member(A,intersection(B,C))|member(A,C).
% 1.06/1.27  3 [] {+} member(A,intersection(B,C))| -member(A,B)| -member(A,C).
% 1.06/1.27  4 [] {+} -subset(A,B)| -member(C,A)|member(C,B).
% 1.06/1.27  5 [] {+} subset(A,B)| -member($f1(A,B),B).
% 1.06/1.27  9 [] {+} -subset(intersection($c3,$c1),intersection($c2,$c1)).
% 1.06/1.27  12 [] {+} subset(A,B)|member($f1(A,B),A).
% 1.06/1.27  16 [] {+} subset($c3,$c2).
% 1.06/1.27  18 [hyper,12,9] {-} member($f1(intersection($c3,$c1),intersection($c2,$c1)),intersection($c3,$c1)).
% 1.06/1.27  71 [hyper,18,2] {-} member($f1(intersection($c3,$c1),intersection($c2,$c1)),$c1).
% 1.06/1.27  72 [hyper,18,1] {-} member($f1(intersection($c3,$c1),intersection($c2,$c1)),$c3).
% 1.06/1.27  131 [hyper,72,4,16] {+} member($f1(intersection($c3,$c1),intersection($c2,$c1)),$c2).
% 1.06/1.27  3550 [hyper,131,3,71] {-} member($f1(intersection($c3,$c1),intersection($c2,$c1)),intersection($c2,$c1)).
% 1.06/1.27  4304 [hyper,3550,5] {-} subset(intersection($c3,$c1),intersection($c2,$c1)).
% 1.06/1.27  4305 [binary,4304.1,9.1] {-} $F.
% 1.06/1.27  
% 1.06/1.27  % SZS output end Refutation
% 1.06/1.27  ------------ end of proof -------------
% 1.06/1.27  
% 1.06/1.27  
% 1.06/1.27  Search stopped by max_proofs option.
% 1.06/1.27  
% 1.06/1.27  
% 1.06/1.27  Search stopped by max_proofs option.
% 1.06/1.27  
% 1.06/1.27  ============ end of search ============
% 1.06/1.27  
% 1.06/1.27  ----------- soft-scott stats ----------
% 1.06/1.27  
% 1.06/1.27  true clauses given          22      (37.3%)
% 1.06/1.27  false clauses given         37
% 1.06/1.27  
% 1.06/1.27        FALSE     TRUE
% 1.06/1.27     9  0         6
% 1.06/1.27    10  0         2
% 1.06/1.27    11  7         4
% 1.06/1.27    12  0         28
% 1.06/1.27    13  94        15
% 1.06/1.27    14  20        42
% 1.06/1.27    15  121       33
% 1.06/1.27    16  38        50
% 1.06/1.27    17  56        113
% 1.06/1.27    18  22        55
% 1.06/1.27    19  64        220
% 1.06/1.27    20  24        51
% 1.06/1.27    21  231       381
% 1.06/1.27    22  61        74
% 1.06/1.27    23  303       295
% 1.06/1.27    24  32        93
% 1.06/1.27    25  152       195
% 1.06/1.27    26  37        102
% 1.06/1.27    27  95        96
% 1.06/1.27    28  10        53
% 1.06/1.27    29  73        41
% 1.06/1.27    30  8         31
% 1.06/1.27    31  24        74
% 1.06/1.27    32  49        42
% 1.06/1.27    33  23        99
% 1.06/1.27    34  46        22
% 1.06/1.27    35  4         39
% 1.06/1.27    36  15        35
% 1.06/1.27    37  4         27
% 1.06/1.27    38  0         7
% 1.06/1.27    39  0         17
% 1.06/1.27    40  6         15
% 1.06/1.27    41  0         22
% 1.06/1.27    42  0         18
% 1.06/1.27    43  0         11
% 1.06/1.27    44  0         19
% 1.06/1.27    45  0         13
% 1.06/1.27    46  0         10
% 1.06/1.27    49  0         5
% 1.06/1.27    50  0         1
% 1.06/1.27    52  0         6
% 1.06/1.27    54  0         4
% 1.06/1.27    56  0         10
% 1.06/1.27    57  0         2
% 1.06/1.27    58  0         19
% 1.06/1.27    60  0         4
% 1.06/1.27  tot:  1619      2501      (60.7% true)
% 1.06/1.27  
% 1.06/1.27  
% 1.06/1.27  Model 5 [ 1 1 153 ] (0.00 seconds, 250000 Inserts)
% 1.06/1.27  
% 1.06/1.27  That finishes the proof of the theorem.
% 1.06/1.27  
% 1.06/1.27  Process 31016 finished Mon Jul 11 07:27:24 2022
%------------------------------------------------------------------------------