TSTP Solution File: NUM007-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.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  : 300s
% DateTime : Sun May  5 08:07:12 EDT 2024

% Result   : Unsatisfiable 1.41s 0.95s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   93 (  16 unt;   0 def)
%            Number of atoms       :  228 (   4 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  252 ( 117   ~; 126   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  10 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   64 (  64   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3041,plain,
    $false,
    inference(avatar_sat_refutation,[],[f88,f119,f137,f159,f183,f2632,f2989,f2999,f3028,f3038]) ).

fof(f3038,plain,
    ( ~ spl2_1
    | ~ spl2_2
    | spl2_11 ),
    inference(avatar_contradiction_clause,[],[f3037]) ).

fof(f3037,plain,
    ( $false
    | ~ spl2_1
    | ~ spl2_2
    | spl2_11 ),
    inference(subsumption_resolution,[],[f3036,f30]) ).

fof(f30,plain,
    ~ lcm(a,b,quotient(sF0,c)),
    inference(backward_demodulation,[],[f28,f27]) ).

fof(f27,plain,
    quotient(sF0,c) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f28,plain,
    ~ lcm(a,b,sF1),
    inference(definition_folding,[],[f25,f27,f26]) ).

fof(f26,plain,
    multiply(a,b) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f25,axiom,
    ~ lcm(a,b,quotient(multiply(a,b),c)),
    file('/export/starexec/sandbox/tmp/tmp.C9FKViiF0P/Vampire---4.8_20685',prove_lcm) ).

fof(f3036,plain,
    ( lcm(a,b,quotient(sF0,c))
    | ~ spl2_1
    | ~ spl2_2
    | spl2_11 ),
    inference(subsumption_resolution,[],[f3035,f78]) ).

fof(f78,plain,
    ( divides(a,quotient(sF0,c))
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f77,plain,
    ( spl2_1
  <=> divides(a,quotient(sF0,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f3035,plain,
    ( ~ divides(a,quotient(sF0,c))
    | lcm(a,b,quotient(sF0,c))
    | ~ spl2_2
    | spl2_11 ),
    inference(subsumption_resolution,[],[f3029,f82]) ).

fof(f82,plain,
    ( divides(b,quotient(sF0,c))
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f81,plain,
    ( spl2_2
  <=> divides(b,quotient(sF0,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f3029,plain,
    ( ~ divides(b,quotient(sF0,c))
    | ~ divides(a,quotient(sF0,c))
    | lcm(a,b,quotient(sF0,c))
    | spl2_11 ),
    inference(resolution,[],[f2430,f50]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( divides(X1,k(X1,X0,X2))
      | ~ divides(X0,X2)
      | ~ divides(X1,X2)
      | lcm(X1,X0,X2) ),
    inference(superposition,[],[f16,f19]) ).

fof(f19,axiom,
    ! [X2,X0,X1] : k(X0,X2,X1) = k(X2,X0,X1),
    file('/export/starexec/sandbox/tmp/tmp.C9FKViiF0P/Vampire---4.8_20685',commutativity_of_k) ).

fof(f16,axiom,
    ! [X2,X3,X0] :
      ( divides(X0,k(X2,X0,X3))
      | ~ divides(X2,X3)
      | ~ divides(X0,X3)
      | lcm(X0,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.C9FKViiF0P/Vampire---4.8_20685',lcm1) ).

fof(f2430,plain,
    ( ~ divides(a,k(a,b,quotient(sF0,c)))
    | spl2_11 ),
    inference(avatar_component_clause,[],[f2428]) ).

fof(f2428,plain,
    ( spl2_11
  <=> divides(a,k(a,b,quotient(sF0,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).

fof(f3028,plain,
    ( ~ spl2_11
    | spl2_13 ),
    inference(avatar_split_clause,[],[f3020,f2629,f2428]) ).

fof(f2629,plain,
    ( spl2_13
  <=> divides(sF0,multiply(b,k(a,b,quotient(sF0,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).

fof(f3020,plain,
    ( ~ divides(a,k(a,b,quotient(sF0,c)))
    | spl2_13 ),
    inference(resolution,[],[f2631,f99]) ).

fof(f99,plain,
    ! [X0] :
      ( divides(sF0,multiply(b,X0))
      | ~ divides(a,X0) ),
    inference(superposition,[],[f37,f26]) ).

fof(f37,plain,
    ! [X2,X0,X1] :
      ( divides(multiply(X1,X0),multiply(X0,X2))
      | ~ divides(X1,X2) ),
    inference(superposition,[],[f4,f21]) ).

fof(f21,axiom,
    ! [X2,X0] : multiply(X0,X2) = multiply(X2,X0),
    file('/export/starexec/sandbox/tmp/tmp.C9FKViiF0P/Vampire---4.8_20685',commutativity_of_multiply) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( divides(multiply(X0,X2),multiply(X0,X1))
      | ~ divides(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.C9FKViiF0P/Vampire---4.8_20685',divides_and_multiply) ).

fof(f2631,plain,
    ( ~ divides(sF0,multiply(b,k(a,b,quotient(sF0,c))))
    | spl2_13 ),
    inference(avatar_component_clause,[],[f2629]) ).

fof(f2999,plain,
    ( ~ spl2_1
    | ~ spl2_2
    | spl2_9 ),
    inference(avatar_contradiction_clause,[],[f2998]) ).

fof(f2998,plain,
    ( $false
    | ~ spl2_1
    | ~ spl2_2
    | spl2_9 ),
    inference(subsumption_resolution,[],[f2997,f30]) ).

fof(f2997,plain,
    ( lcm(a,b,quotient(sF0,c))
    | ~ spl2_1
    | ~ spl2_2
    | spl2_9 ),
    inference(subsumption_resolution,[],[f2996,f78]) ).

fof(f2996,plain,
    ( ~ divides(a,quotient(sF0,c))
    | lcm(a,b,quotient(sF0,c))
    | ~ spl2_2
    | spl2_9 ),
    inference(subsumption_resolution,[],[f2990,f82]) ).

fof(f2990,plain,
    ( ~ divides(b,quotient(sF0,c))
    | ~ divides(a,quotient(sF0,c))
    | lcm(a,b,quotient(sF0,c))
    | spl2_9 ),
    inference(resolution,[],[f2414,f71]) ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( divides(X0,k(X1,X0,X2))
      | ~ divides(X0,X2)
      | ~ divides(X1,X2)
      | lcm(X1,X0,X2) ),
    inference(superposition,[],[f17,f19]) ).

fof(f17,axiom,
    ! [X2,X3,X0] :
      ( divides(X2,k(X2,X0,X3))
      | ~ divides(X2,X3)
      | ~ divides(X0,X3)
      | lcm(X0,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.C9FKViiF0P/Vampire---4.8_20685',lcm2) ).

fof(f2414,plain,
    ( ~ divides(b,k(a,b,quotient(sF0,c)))
    | spl2_9 ),
    inference(avatar_component_clause,[],[f2412]) ).

fof(f2412,plain,
    ( spl2_9
  <=> divides(b,k(a,b,quotient(sF0,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f2989,plain,
    ( ~ spl2_9
    | spl2_12 ),
    inference(avatar_split_clause,[],[f2633,f2625,f2412]) ).

fof(f2625,plain,
    ( spl2_12
  <=> divides(sF0,multiply(a,k(a,b,quotient(sF0,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).

fof(f2633,plain,
    ( ~ divides(b,k(a,b,quotient(sF0,c)))
    | spl2_12 ),
    inference(resolution,[],[f2627,f36]) ).

fof(f36,plain,
    ! [X0] :
      ( divides(sF0,multiply(a,X0))
      | ~ divides(b,X0) ),
    inference(superposition,[],[f4,f26]) ).

fof(f2627,plain,
    ( ~ divides(sF0,multiply(a,k(a,b,quotient(sF0,c))))
    | spl2_12 ),
    inference(avatar_component_clause,[],[f2625]) ).

fof(f2632,plain,
    ( ~ spl2_12
    | ~ spl2_13
    | spl2_3
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f810,f116,f85,f2629,f2625]) ).

fof(f85,plain,
    ( spl2_3
  <=> divides(quotient(sF0,c),k(a,b,quotient(sF0,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f116,plain,
    ( spl2_5
  <=> divides(c,sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f810,plain,
    ( ~ divides(sF0,multiply(b,k(a,b,quotient(sF0,c))))
    | ~ divides(sF0,multiply(a,k(a,b,quotient(sF0,c))))
    | spl2_3
    | ~ spl2_5 ),
    inference(forward_demodulation,[],[f809,f21]) ).

fof(f809,plain,
    ( ~ divides(sF0,multiply(a,k(a,b,quotient(sF0,c))))
    | ~ divides(sF0,multiply(k(a,b,quotient(sF0,c)),b))
    | spl2_3
    | ~ spl2_5 ),
    inference(forward_demodulation,[],[f805,f21]) ).

fof(f805,plain,
    ( ~ divides(sF0,multiply(k(a,b,quotient(sF0,c)),a))
    | ~ divides(sF0,multiply(k(a,b,quotient(sF0,c)),b))
    | spl2_3
    | ~ spl2_5 ),
    inference(resolution,[],[f227,f58]) ).

fof(f58,plain,
    ! [X0] : gcd(multiply(X0,a),multiply(X0,b),multiply(c,X0)),
    inference(superposition,[],[f48,f21]) ).

fof(f48,plain,
    ! [X0] : gcd(multiply(X0,a),multiply(X0,b),multiply(X0,c)),
    inference(resolution,[],[f15,f24]) ).

fof(f24,axiom,
    gcd(a,b,c),
    file('/export/starexec/sandbox/tmp/tmp.C9FKViiF0P/Vampire---4.8_20685',c_is_gcd_of_a_and_b) ).

fof(f15,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ gcd(X0,X2,X3)
      | gcd(multiply(X1,X0),multiply(X1,X2),multiply(X1,X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.C9FKViiF0P/Vampire---4.8_20685',property_of_gcd) ).

fof(f227,plain,
    ( ! [X0,X1] :
        ( ~ gcd(X1,X0,multiply(c,k(a,b,quotient(sF0,c))))
        | ~ divides(sF0,X1)
        | ~ divides(sF0,X0) )
    | spl2_3
    | ~ spl2_5 ),
    inference(resolution,[],[f189,f11]) ).

fof(f11,axiom,
    ! [X2,X3,X0,X4] :
      ( divides(X4,X3)
      | ~ divides(X4,X2)
      | ~ divides(X4,X0)
      | ~ gcd(X0,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.C9FKViiF0P/Vampire---4.8_20685',gcd1) ).

fof(f189,plain,
    ( ~ divides(sF0,multiply(c,k(a,b,quotient(sF0,c))))
    | spl2_3
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f184,f117]) ).

fof(f117,plain,
    ( divides(c,sF0)
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f184,plain,
    ( ~ divides(c,sF0)
    | ~ divides(sF0,multiply(c,k(a,b,quotient(sF0,c))))
    | spl2_3 ),
    inference(resolution,[],[f87,f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( divides(quotient(X0,X2),X1)
      | ~ divides(X2,X0)
      | ~ divides(X0,multiply(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.C9FKViiF0P/Vampire---4.8_20685',divides_quotient_multiply3) ).

fof(f87,plain,
    ( ~ divides(quotient(sF0,c),k(a,b,quotient(sF0,c)))
    | spl2_3 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f183,plain,
    ( spl2_2
    | ~ spl2_5 ),
    inference(avatar_contradiction_clause,[],[f181]) ).

fof(f181,plain,
    ( $false
    | spl2_2
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f62,f169]) ).

fof(f169,plain,
    ( ! [X0] : ~ gcd(sF0,X0,multiply(b,c))
    | spl2_2
    | ~ spl2_5 ),
    inference(resolution,[],[f165,f10]) ).

fof(f10,axiom,
    ! [X2,X3,X0] :
      ( divides(X3,X0)
      | ~ gcd(X0,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.C9FKViiF0P/Vampire---4.8_20685',gcd_divides2) ).

fof(f165,plain,
    ( ~ divides(multiply(b,c),sF0)
    | spl2_2
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f160,f117]) ).

fof(f160,plain,
    ( ~ divides(c,sF0)
    | ~ divides(multiply(b,c),sF0)
    | spl2_2 ),
    inference(resolution,[],[f83,f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( divides(X0,quotient(X2,X1))
      | ~ divides(X1,X2)
      | ~ divides(multiply(X0,X1),X2) ),
    file('/export/starexec/sandbox/tmp/tmp.C9FKViiF0P/Vampire---4.8_20685',divides_quotient_multiply2) ).

fof(f83,plain,
    ( ~ divides(b,quotient(sF0,c))
    | spl2_2 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f62,plain,
    gcd(sF0,multiply(b,b),multiply(b,c)),
    inference(superposition,[],[f53,f26]) ).

fof(f53,plain,
    ! [X0] : gcd(multiply(a,X0),multiply(X0,b),multiply(X0,c)),
    inference(superposition,[],[f48,f21]) ).

fof(f159,plain,
    ( ~ spl2_4
    | spl2_5 ),
    inference(avatar_contradiction_clause,[],[f158]) ).

fof(f158,plain,
    ( $false
    | ~ spl2_4
    | spl2_5 ),
    inference(subsumption_resolution,[],[f153,f31]) ).

fof(f31,plain,
    ! [X0,X1] : divides(X0,multiply(X1,X0)),
    inference(superposition,[],[f3,f21]) ).

fof(f3,axiom,
    ! [X2,X0] : divides(X0,multiply(X0,X2)),
    file('/export/starexec/sandbox/tmp/tmp.C9FKViiF0P/Vampire---4.8_20685',operand_divides_product) ).

fof(f153,plain,
    ( ~ divides(c,multiply(a,c))
    | ~ spl2_4
    | spl2_5 ),
    inference(resolution,[],[f140,f113]) ).

fof(f113,plain,
    ( divides(multiply(a,c),sF0)
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f112,plain,
    ( spl2_4
  <=> divides(multiply(a,c),sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f140,plain,
    ( ! [X0] :
        ( ~ divides(X0,sF0)
        | ~ divides(c,X0) )
    | spl2_5 ),
    inference(resolution,[],[f118,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( divides(X0,X1)
      | ~ divides(X0,X2)
      | ~ divides(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.C9FKViiF0P/Vampire---4.8_20685',transitivity_of_divides) ).

fof(f118,plain,
    ( ~ divides(c,sF0)
    | spl2_5 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f137,plain,
    spl2_4,
    inference(avatar_contradiction_clause,[],[f135]) ).

fof(f135,plain,
    ( $false
    | spl2_4 ),
    inference(subsumption_resolution,[],[f24,f133]) ).

fof(f133,plain,
    ( ! [X0] : ~ gcd(X0,b,c)
    | spl2_4 ),
    inference(resolution,[],[f123,f9]) ).

fof(f9,axiom,
    ! [X2,X3,X0] :
      ( divides(X3,X2)
      | ~ gcd(X0,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.C9FKViiF0P/Vampire---4.8_20685',gcd_divides1) ).

fof(f123,plain,
    ( ~ divides(c,b)
    | spl2_4 ),
    inference(resolution,[],[f114,f39]) ).

fof(f39,plain,
    ! [X0] :
      ( divides(multiply(a,X0),sF0)
      | ~ divides(X0,b) ),
    inference(superposition,[],[f4,f26]) ).

fof(f114,plain,
    ( ~ divides(multiply(a,c),sF0)
    | spl2_4 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f119,plain,
    ( ~ spl2_4
    | ~ spl2_5
    | spl2_1 ),
    inference(avatar_split_clause,[],[f89,f77,f116,f112]) ).

fof(f89,plain,
    ( ~ divides(c,sF0)
    | ~ divides(multiply(a,c),sF0)
    | spl2_1 ),
    inference(resolution,[],[f79,f7]) ).

fof(f79,plain,
    ( ~ divides(a,quotient(sF0,c))
    | spl2_1 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f88,plain,
    ( ~ spl2_1
    | ~ spl2_2
    | ~ spl2_3 ),
    inference(avatar_split_clause,[],[f75,f85,f81,f77]) ).

fof(f75,plain,
    ( ~ divides(quotient(sF0,c),k(a,b,quotient(sF0,c)))
    | ~ divides(b,quotient(sF0,c))
    | ~ divides(a,quotient(sF0,c)) ),
    inference(forward_demodulation,[],[f73,f19]) ).

fof(f73,plain,
    ( ~ divides(b,quotient(sF0,c))
    | ~ divides(a,quotient(sF0,c))
    | ~ divides(quotient(sF0,c),k(b,a,quotient(sF0,c))) ),
    inference(resolution,[],[f18,f30]) ).

fof(f18,axiom,
    ! [X2,X3,X0] :
      ( lcm(X0,X2,X3)
      | ~ divides(X2,X3)
      | ~ divides(X0,X3)
      | ~ divides(X3,k(X2,X0,X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.C9FKViiF0P/Vampire---4.8_20685',lcm3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : NUM007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.31  % Computer : n004.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit   : 300
% 0.12/0.31  % WCLimit    : 300
% 0.12/0.31  % DateTime   : Fri May  3 15:25:37 EDT 2024
% 0.12/0.31  % CPUTime    : 
% 0.12/0.31  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.17/0.32  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.C9FKViiF0P/Vampire---4.8_20685
% 0.60/0.79  % (20795)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79  % (20797)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.79  % (20796)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.79  % (20794)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.79  % (20798)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.79  % (20799)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.79  % (20793)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.79  % (20800)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.79  % (20798)Refutation not found, incomplete strategy% (20798)------------------------------
% 0.60/0.79  % (20798)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (20798)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (20798)Memory used [KB]: 968
% 0.60/0.79  % (20798)Time elapsed: 0.003 s
% 0.60/0.79  % (20798)Instructions burned: 2 (million)
% 0.60/0.79  % (20798)------------------------------
% 0.60/0.79  % (20798)------------------------------
% 0.60/0.80  % (20801)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.81  % (20796)Instruction limit reached!
% 0.60/0.81  % (20796)------------------------------
% 0.60/0.81  % (20796)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (20796)Termination reason: Unknown
% 0.60/0.81  % (20796)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (20796)Memory used [KB]: 1404
% 0.60/0.81  % (20796)Time elapsed: 0.018 s
% 0.60/0.81  % (20796)Instructions burned: 33 (million)
% 0.60/0.81  % (20796)------------------------------
% 0.60/0.81  % (20796)------------------------------
% 0.60/0.81  % (20793)Instruction limit reached!
% 0.60/0.81  % (20793)------------------------------
% 0.60/0.81  % (20793)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (20793)Termination reason: Unknown
% 0.60/0.81  % (20793)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (20793)Memory used [KB]: 1173
% 0.60/0.81  % (20793)Time elapsed: 0.018 s
% 0.60/0.81  % (20793)Instructions burned: 35 (million)
% 0.60/0.81  % (20793)------------------------------
% 0.60/0.81  % (20793)------------------------------
% 0.60/0.81  % (20797)Instruction limit reached!
% 0.60/0.81  % (20797)------------------------------
% 0.60/0.81  % (20797)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (20797)Termination reason: Unknown
% 0.60/0.81  % (20797)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (20797)Memory used [KB]: 1285
% 0.60/0.81  % (20797)Time elapsed: 0.020 s
% 0.60/0.81  % (20797)Instructions burned: 34 (million)
% 0.60/0.81  % (20797)------------------------------
% 0.60/0.81  % (20797)------------------------------
% 0.60/0.81  % (20802)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.81  % (20803)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.81  % (20804)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.60/0.82  % (20794)Instruction limit reached!
% 0.60/0.82  % (20794)------------------------------
% 0.60/0.82  % (20794)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (20794)Termination reason: Unknown
% 0.60/0.82  % (20794)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (20794)Memory used [KB]: 1243
% 0.60/0.82  % (20794)Time elapsed: 0.028 s
% 0.60/0.82  % (20794)Instructions burned: 51 (million)
% 0.60/0.82  % (20794)------------------------------
% 0.60/0.82  % (20794)------------------------------
% 0.72/0.82  % (20800)Instruction limit reached!
% 0.72/0.82  % (20800)------------------------------
% 0.72/0.82  % (20800)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.82  % (20800)Termination reason: Unknown
% 0.72/0.82  % (20800)Termination phase: Saturation
% 0.72/0.82  
% 0.72/0.82  % (20800)Memory used [KB]: 1338
% 0.72/0.82  % (20800)Time elapsed: 0.029 s
% 0.72/0.82  % (20800)Instructions burned: 57 (million)
% 0.72/0.82  % (20800)------------------------------
% 0.72/0.82  % (20800)------------------------------
% 0.72/0.82  % (20805)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.72/0.82  % (20806)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.72/0.83  % (20801)Instruction limit reached!
% 0.72/0.83  % (20801)------------------------------
% 0.72/0.83  % (20801)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.83  % (20801)Termination reason: Unknown
% 0.72/0.83  % (20801)Termination phase: Saturation
% 0.72/0.83  
% 0.72/0.83  % (20801)Memory used [KB]: 1570
% 0.72/0.83  % (20801)Time elapsed: 0.030 s
% 0.72/0.83  % (20801)Instructions burned: 56 (million)
% 0.72/0.83  % (20801)------------------------------
% 0.72/0.83  % (20801)------------------------------
% 0.72/0.83  % (20807)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2994ds/243Mi)
% 0.72/0.83  % (20795)Instruction limit reached!
% 0.72/0.83  % (20795)------------------------------
% 0.72/0.83  % (20795)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.83  % (20795)Termination reason: Unknown
% 0.72/0.83  % (20795)Termination phase: Saturation
% 0.72/0.83  
% 0.72/0.83  % (20795)Memory used [KB]: 1623
% 0.72/0.83  % (20795)Time elapsed: 0.043 s
% 0.72/0.83  % (20795)Instructions burned: 79 (million)
% 0.72/0.83  % (20795)------------------------------
% 0.72/0.83  % (20795)------------------------------
% 0.72/0.84  % (20799)Instruction limit reached!
% 0.72/0.84  % (20799)------------------------------
% 0.72/0.84  % (20799)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.84  % (20799)Termination reason: Unknown
% 0.72/0.84  % (20799)Termination phase: Saturation
% 0.72/0.84  
% 0.72/0.84  % (20799)Memory used [KB]: 1822
% 0.72/0.84  % (20799)Time elapsed: 0.044 s
% 0.72/0.84  % (20799)Instructions burned: 85 (million)
% 0.72/0.84  % (20799)------------------------------
% 0.72/0.84  % (20799)------------------------------
% 0.72/0.84  % (20802)Instruction limit reached!
% 0.72/0.84  % (20802)------------------------------
% 0.72/0.84  % (20802)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.84  % (20802)Termination reason: Unknown
% 0.72/0.84  % (20802)Termination phase: Saturation
% 0.72/0.84  
% 0.72/0.84  % (20802)Memory used [KB]: 1427
% 0.72/0.84  % (20802)Time elapsed: 0.026 s
% 0.72/0.84  % (20802)Instructions burned: 50 (million)
% 0.72/0.84  % (20802)------------------------------
% 0.72/0.84  % (20802)------------------------------
% 0.72/0.84  % (20808)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2994ds/117Mi)
% 0.72/0.84  % (20809)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2994ds/143Mi)
% 0.72/0.84  % (20810)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2994ds/93Mi)
% 0.72/0.84  % (20804)Instruction limit reached!
% 0.72/0.84  % (20804)------------------------------
% 0.72/0.84  % (20804)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.84  % (20804)Termination reason: Unknown
% 0.72/0.84  % (20804)Termination phase: Saturation
% 0.72/0.84  
% 0.72/0.84  % (20804)Memory used [KB]: 1411
% 0.72/0.84  % (20804)Time elapsed: 0.030 s
% 0.72/0.84  % (20804)Instructions burned: 52 (million)
% 0.72/0.84  % (20804)------------------------------
% 0.72/0.84  % (20804)------------------------------
% 0.72/0.85  % (20811)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2994ds/62Mi)
% 0.72/0.85  % (20806)Instruction limit reached!
% 0.72/0.85  % (20806)------------------------------
% 0.72/0.85  % (20806)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.85  % (20806)Termination reason: Unknown
% 0.72/0.85  % (20806)Termination phase: Saturation
% 0.72/0.85  
% 0.72/0.85  % (20806)Memory used [KB]: 1368
% 0.72/0.85  % (20806)Time elapsed: 0.024 s
% 0.72/0.85  % (20806)Instructions burned: 42 (million)
% 0.72/0.85  % (20806)------------------------------
% 0.72/0.85  % (20806)------------------------------
% 0.72/0.85  % (20812)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2994ds/32Mi)
% 0.96/0.87  % (20812)Instruction limit reached!
% 0.96/0.87  % (20812)------------------------------
% 0.96/0.87  % (20812)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.87  % (20812)Termination reason: Unknown
% 0.96/0.87  % (20812)Termination phase: Saturation
% 0.96/0.87  
% 0.96/0.87  % (20812)Memory used [KB]: 1150
% 0.96/0.87  % (20812)Time elapsed: 0.019 s
% 0.96/0.87  % (20812)Instructions burned: 33 (million)
% 0.96/0.87  % (20812)------------------------------
% 0.96/0.87  % (20812)------------------------------
% 0.96/0.87  % (20813)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2994ds/1919Mi)
% 0.96/0.88  % (20811)Instruction limit reached!
% 0.96/0.88  % (20811)------------------------------
% 0.96/0.88  % (20811)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.88  % (20811)Termination reason: Unknown
% 0.96/0.88  % (20811)Termination phase: Saturation
% 0.96/0.88  
% 0.96/0.88  % (20811)Memory used [KB]: 1994
% 0.96/0.88  % (20811)Time elapsed: 0.034 s
% 0.96/0.88  % (20811)Instructions burned: 63 (million)
% 0.96/0.88  % (20811)------------------------------
% 0.96/0.88  % (20811)------------------------------
% 0.96/0.88  % (20814)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 0.96/0.89  % (20810)Instruction limit reached!
% 0.96/0.89  % (20810)------------------------------
% 0.96/0.89  % (20810)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.89  % (20810)Termination reason: Unknown
% 0.96/0.89  % (20810)Termination phase: Saturation
% 0.96/0.89  
% 0.96/0.89  % (20810)Memory used [KB]: 1579
% 0.96/0.89  % (20810)Time elapsed: 0.049 s
% 0.96/0.89  % (20810)Instructions burned: 94 (million)
% 0.96/0.89  % (20810)------------------------------
% 0.96/0.89  % (20810)------------------------------
% 0.96/0.89  % (20815)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 0.96/0.89  % (20808)Instruction limit reached!
% 0.96/0.89  % (20808)------------------------------
% 0.96/0.89  % (20808)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.89  % (20808)Termination reason: Unknown
% 0.96/0.89  % (20808)Termination phase: Saturation
% 0.96/0.89  
% 0.96/0.89  % (20808)Memory used [KB]: 1696
% 0.96/0.89  % (20808)Time elapsed: 0.058 s
% 0.96/0.89  % (20808)Instructions burned: 118 (million)
% 0.96/0.89  % (20808)------------------------------
% 0.96/0.89  % (20808)------------------------------
% 0.96/0.90  % (20816)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 0.96/0.91  % (20809)Instruction limit reached!
% 0.96/0.91  % (20809)------------------------------
% 0.96/0.91  % (20809)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.91  % (20809)Termination reason: Unknown
% 0.96/0.91  % (20809)Termination phase: Saturation
% 0.96/0.91  
% 0.96/0.91  % (20809)Memory used [KB]: 1724
% 0.96/0.91  % (20809)Time elapsed: 0.071 s
% 0.96/0.91  % (20809)Instructions burned: 143 (million)
% 0.96/0.91  % (20809)------------------------------
% 0.96/0.91  % (20809)------------------------------
% 0.96/0.91  % (20803)Instruction limit reached!
% 0.96/0.91  % (20803)------------------------------
% 0.96/0.91  % (20803)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.91  % (20803)Termination reason: Unknown
% 0.96/0.91  % (20803)Termination phase: Saturation
% 0.96/0.91  
% 0.96/0.91  % (20803)Memory used [KB]: 1945
% 0.96/0.91  % (20803)Time elapsed: 0.096 s
% 0.96/0.91  % (20803)Instructions burned: 209 (million)
% 0.96/0.91  % (20803)------------------------------
% 0.96/0.91  % (20803)------------------------------
% 0.96/0.91  % (20814)Instruction limit reached!
% 0.96/0.91  % (20814)------------------------------
% 0.96/0.91  % (20814)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.91  % (20814)Termination reason: Unknown
% 0.96/0.91  % (20814)Termination phase: Saturation
% 0.96/0.91  
% 0.96/0.91  % (20814)Memory used [KB]: 1698
% 0.96/0.91  % (20814)Time elapsed: 0.031 s
% 0.96/0.91  % (20814)Instructions burned: 55 (million)
% 0.96/0.91  % (20814)------------------------------
% 0.96/0.91  % (20814)------------------------------
% 0.96/0.91  % (20817)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2994ds/102Mi)
% 0.96/0.91  % (20818)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2994ds/35Mi)
% 0.96/0.91  % (20819)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 0.96/0.92  % (20815)Instruction limit reached!
% 0.96/0.92  % (20815)------------------------------
% 0.96/0.92  % (20815)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.92  % (20815)Termination reason: Unknown
% 0.96/0.92  % (20815)Termination phase: Saturation
% 0.96/0.92  
% 0.96/0.92  % (20815)Memory used [KB]: 1463
% 0.96/0.92  % (20815)Time elapsed: 0.028 s
% 0.96/0.92  % (20815)Instructions burned: 53 (million)
% 0.96/0.92  % (20815)------------------------------
% 0.96/0.92  % (20815)------------------------------
% 0.96/0.92  % (20820)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 0.96/0.92  % (20816)Instruction limit reached!
% 0.96/0.92  % (20816)------------------------------
% 0.96/0.92  % (20816)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.92  % (20816)Termination reason: Unknown
% 0.96/0.92  % (20816)Termination phase: Saturation
% 0.96/0.92  
% 0.96/0.92  % (20816)Memory used [KB]: 1991
% 0.96/0.92  % (20816)Time elapsed: 0.027 s
% 0.96/0.92  % (20816)Instructions burned: 46 (million)
% 0.96/0.92  % (20816)------------------------------
% 0.96/0.92  % (20816)------------------------------
% 0.96/0.93  % (20821)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2994ds/161Mi)
% 0.96/0.93  % (20818)Instruction limit reached!
% 0.96/0.93  % (20818)------------------------------
% 0.96/0.93  % (20818)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.93  % (20818)Termination reason: Unknown
% 0.96/0.93  % (20818)Termination phase: Saturation
% 0.96/0.93  
% 0.96/0.93  % (20818)Memory used [KB]: 1323
% 0.96/0.93  % (20818)Time elapsed: 0.021 s
% 0.96/0.93  % (20818)Instructions burned: 35 (million)
% 0.96/0.93  % (20818)------------------------------
% 0.96/0.93  % (20818)------------------------------
% 0.96/0.93  % (20822)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2994ds/69Mi)
% 1.41/0.94  % (20807)First to succeed.
% 1.41/0.94  % (20807)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20792"
% 1.41/0.95  % (20807)Refutation found. Thanks to Tanya!
% 1.41/0.95  % SZS status Unsatisfiable for Vampire---4
% 1.41/0.95  % SZS output start Proof for Vampire---4
% See solution above
% 1.41/0.95  % (20807)------------------------------
% 1.41/0.95  % (20807)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.41/0.95  % (20807)Termination reason: Refutation
% 1.41/0.95  
% 1.41/0.95  % (20807)Memory used [KB]: 2016
% 1.41/0.95  % (20807)Time elapsed: 0.117 s
% 1.41/0.95  % (20807)Instructions burned: 231 (million)
% 1.41/0.95  % (20792)Success in time 0.614 s
% 1.41/0.95  % Vampire---4.8 exiting
%------------------------------------------------------------------------------