TSTP Solution File: SWC311-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC311-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n026.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 : Wed May  1 04:01:20 EDT 2024

% Result   : Unsatisfiable 0.60s 0.76s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   89 (   8 unt;   0 def)
%            Number of atoms       :  283 (  62 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  367 ( 173   ~; 180   |;   0   &)
%                                         (  14 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  15 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f577,plain,
    $false,
    inference(avatar_sat_refutation,[],[f254,f283,f284,f288,f289,f319,f322,f329,f331,f335,f355,f540,f543,f563,f565,f576]) ).

fof(f576,plain,
    spl0_16,
    inference(avatar_contradiction_clause,[],[f575]) ).

fof(f575,plain,
    ( $false
    | spl0_16 ),
    inference(resolution,[],[f308,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.3DfDkR8Ii0/Vampire---4.8_28897',clause8) ).

fof(f308,plain,
    ( ~ ssList(nil)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f306,plain,
    ( spl0_16
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f565,plain,
    ( ~ spl0_14
    | spl0_4
    | spl0_7 ),
    inference(avatar_split_clause,[],[f564,f264,f251,f298]) ).

fof(f298,plain,
    ( spl0_14
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f251,plain,
    ( spl0_4
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f264,plain,
    ( spl0_7
  <=> ssList(tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f564,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_7 ),
    inference(resolution,[],[f266,f75]) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.3DfDkR8Ii0/Vampire---4.8_28897',clause75) ).

fof(f266,plain,
    ( ~ ssList(tl(sk4))
    | spl0_7 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f563,plain,
    ( ~ spl0_7
    | ~ spl0_9
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f562,f362,f286,f260,f272,f264]) ).

fof(f272,plain,
    ( spl0_9
  <=> ssItem(hd(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f260,plain,
    ( spl0_6
  <=> sk3 = app(tl(sk4),cons(hd(sk4),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f286,plain,
    ( spl0_12
  <=> ! [X6,X7] :
        ( sk3 != app(X7,cons(X6,nil))
        | ~ ssItem(X6)
        | ~ ssList(X7)
        | sk4 != app(cons(X6,nil),X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f362,plain,
    ( spl0_18
  <=> sk4 = app(cons(hd(sk4),nil),tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f562,plain,
    ( ~ ssItem(hd(sk4))
    | ~ ssList(tl(sk4))
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f561]) ).

fof(f561,plain,
    ( sk3 != sk3
    | ~ ssItem(hd(sk4))
    | ~ ssList(tl(sk4))
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f560,f262]) ).

fof(f262,plain,
    ( sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f560,plain,
    ( ~ ssItem(hd(sk4))
    | ~ ssList(tl(sk4))
    | sk3 != app(tl(sk4),cons(hd(sk4),nil))
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f556]) ).

fof(f556,plain,
    ( sk4 != sk4
    | ~ ssItem(hd(sk4))
    | ~ ssList(tl(sk4))
    | sk3 != app(tl(sk4),cons(hd(sk4),nil))
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(superposition,[],[f287,f363]) ).

fof(f363,plain,
    ( sk4 = app(cons(hd(sk4),nil),tl(sk4))
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f287,plain,
    ( ! [X6,X7] :
        ( sk4 != app(cons(X6,nil),X7)
        | ~ ssItem(X6)
        | ~ ssList(X7)
        | sk3 != app(X7,cons(X6,nil)) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f543,plain,
    ( ~ spl0_14
    | spl0_4
    | spl0_34 ),
    inference(avatar_split_clause,[],[f542,f537,f251,f298]) ).

fof(f537,plain,
    ( spl0_34
  <=> sk4 = cons(hd(sk4),tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f542,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_34 ),
    inference(trivial_inequality_removal,[],[f541]) ).

fof(f541,plain,
    ( sk4 != sk4
    | nil = sk4
    | ~ ssList(sk4)
    | spl0_34 ),
    inference(superposition,[],[f539,f104]) ).

fof(f104,axiom,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.3DfDkR8Ii0/Vampire---4.8_28897',clause104) ).

fof(f539,plain,
    ( sk4 != cons(hd(sk4),tl(sk4))
    | spl0_34 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f540,plain,
    ( ~ spl0_9
    | ~ spl0_7
    | ~ spl0_34
    | spl0_18 ),
    inference(avatar_split_clause,[],[f526,f362,f537,f264,f272]) ).

fof(f526,plain,
    ( sk4 != cons(hd(sk4),tl(sk4))
    | ~ ssList(tl(sk4))
    | ~ ssItem(hd(sk4))
    | spl0_18 ),
    inference(superposition,[],[f364,f120]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.3DfDkR8Ii0/Vampire---4.8_28897',clause120) ).

fof(f364,plain,
    ( sk4 != app(cons(hd(sk4),nil),tl(sk4))
    | spl0_18 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f355,plain,
    ( ~ spl0_14
    | ~ spl0_16
    | spl0_4
    | spl0_10 ),
    inference(avatar_split_clause,[],[f352,f276,f251,f306,f298]) ).

fof(f276,plain,
    ( spl0_10
  <=> neq(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f352,plain,
    ( nil = sk4
    | ~ ssList(nil)
    | ~ ssList(sk4)
    | spl0_10 ),
    inference(resolution,[],[f100,f278]) ).

fof(f278,plain,
    ( ~ neq(nil,sk4)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.3DfDkR8Ii0/Vampire---4.8_28897',clause100) ).

fof(f335,plain,
    ( ~ spl0_14
    | spl0_4
    | spl0_9 ),
    inference(avatar_split_clause,[],[f332,f272,f251,f298]) ).

fof(f332,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_9 ),
    inference(resolution,[],[f274,f76]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.3DfDkR8Ii0/Vampire---4.8_28897',clause76) ).

fof(f274,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_9 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f331,plain,
    ( ~ spl0_9
    | ~ spl0_16
    | spl0_8 ),
    inference(avatar_split_clause,[],[f330,f268,f306,f272]) ).

fof(f268,plain,
    ( spl0_8
  <=> ssList(cons(hd(sk4),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f330,plain,
    ( ~ ssList(nil)
    | ~ ssItem(hd(sk4))
    | spl0_8 ),
    inference(resolution,[],[f86,f270]) ).

fof(f270,plain,
    ( ~ ssList(cons(hd(sk4),nil))
    | spl0_8 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.3DfDkR8Ii0/Vampire---4.8_28897',clause86) ).

fof(f329,plain,
    ( ~ spl0_8
    | ~ spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f324,f256,f264,f268]) ).

fof(f256,plain,
    ( spl0_5
  <=> ssList(app(tl(sk4),cons(hd(sk4),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f324,plain,
    ( ~ ssList(tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | spl0_5 ),
    inference(resolution,[],[f85,f258]) ).

fof(f258,plain,
    ( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.3DfDkR8Ii0/Vampire---4.8_28897',clause85) ).

fof(f322,plain,
    spl0_14,
    inference(avatar_contradiction_clause,[],[f321]) ).

fof(f321,plain,
    ( $false
    | spl0_14 ),
    inference(resolution,[],[f300,f199]) ).

fof(f199,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.3DfDkR8Ii0/Vampire---4.8_28897',co1_5) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/tmp/tmp.3DfDkR8Ii0/Vampire---4.8_28897',co1_2) ).

fof(f300,plain,
    ( ~ ssList(sk4)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f319,plain,
    ( ~ spl0_16
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f317,f280,f251,f306]) ).

fof(f280,plain,
    ( spl0_11
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f317,plain,
    ( ~ ssList(nil)
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(resolution,[],[f315,f237]) ).

fof(f237,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f210]) ).

fof(f210,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ neq(X0,X1)
      | X0 != X1 ),
    file('/export/starexec/sandbox/tmp/tmp.3DfDkR8Ii0/Vampire---4.8_28897',clause115) ).

fof(f315,plain,
    ( neq(nil,nil)
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(superposition,[],[f281,f252]) ).

fof(f252,plain,
    ( nil = sk4
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f281,plain,
    ( neq(sk4,nil)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f289,plain,
    ( ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f202,f280,f247]) ).

fof(f247,plain,
    ( spl0_3
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f202,plain,
    ( neq(sk4,nil)
    | nil != sk3 ),
    inference(definition_unfolding,[],[f196,f190,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.3DfDkR8Ii0/Vampire---4.8_28897',co1_6) ).

fof(f196,axiom,
    ( neq(sk2,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox/tmp/tmp.3DfDkR8Ii0/Vampire---4.8_28897',co1_11) ).

fof(f288,plain,
    ( spl0_4
    | spl0_12 ),
    inference(avatar_split_clause,[],[f201,f286,f251]) ).

fof(f201,plain,
    ! [X6,X7] :
      ( sk3 != app(X7,cons(X6,nil))
      | sk4 != app(cons(X6,nil),X7)
      | ~ ssList(X7)
      | ~ ssItem(X6)
      | nil = sk4 ),
    inference(definition_unfolding,[],[f195,f191,f190,f190]) ).

fof(f195,axiom,
    ! [X6,X7] :
      ( sk1 != app(X7,cons(X6,nil))
      | sk2 != app(cons(X6,nil),X7)
      | ~ ssList(X7)
      | ~ ssItem(X6)
      | nil = sk2 ),
    file('/export/starexec/sandbox/tmp/tmp.3DfDkR8Ii0/Vampire---4.8_28897',co1_10) ).

fof(f284,plain,
    ( spl0_4
    | spl0_11 ),
    inference(avatar_split_clause,[],[f200,f280,f251]) ).

fof(f200,plain,
    ( neq(sk4,nil)
    | nil = sk4 ),
    inference(definition_unfolding,[],[f194,f190,f190]) ).

fof(f194,axiom,
    ( neq(sk2,nil)
    | nil = sk2 ),
    file('/export/starexec/sandbox/tmp/tmp.3DfDkR8Ii0/Vampire---4.8_28897',co1_9) ).

fof(f283,plain,
    ( ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f232,f280,f276,f272,f268,f264,f260,f256]) ).

fof(f232,plain,
    ( ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ ssItem(hd(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(tl(sk4))
    | sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ ssList(app(tl(sk4),cons(hd(sk4),nil))) ),
    inference(duplicate_literal_removal,[],[f231]) ).

fof(f231,plain,
    ( ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ neq(nil,sk4)
    | ~ ssItem(hd(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(tl(sk4))
    | sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ ssList(app(tl(sk4),cons(hd(sk4),nil))) ),
    inference(equality_resolution,[],[f230]) ).

fof(f230,plain,
    ! [X7] :
      ( ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | ~ ssItem(hd(sk4))
      | tl(sk4) != X7
      | ~ ssList(cons(hd(sk4),nil))
      | ~ ssList(X7)
      | sk3 = app(X7,cons(hd(sk4),nil))
      | ~ ssList(app(X7,cons(hd(sk4),nil))) ),
    inference(equality_resolution,[],[f229]) ).

fof(f229,plain,
    ! [X6,X7] :
      ( ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | ~ ssItem(hd(sk4))
      | app(X7,cons(hd(sk4),nil)) != X6
      | tl(sk4) != X7
      | ~ ssList(cons(hd(sk4),nil))
      | ~ ssList(X7)
      | sk3 = X6
      | ~ ssList(X6) ),
    inference(equality_resolution,[],[f228]) ).

fof(f228,plain,
    ! [X8,X6,X7] :
      ( ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | cons(hd(sk4),nil) != X8
      | ~ ssItem(hd(sk4))
      | app(X7,X8) != X6
      | tl(sk4) != X7
      | ~ ssList(X8)
      | ~ ssList(X7)
      | sk3 = X6
      | ~ ssList(X6) ),
    inference(equality_resolution,[],[f193]) ).

fof(f193,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | hd(sk4) != X9
      | cons(X9,nil) != X8
      | ~ ssItem(X9)
      | app(X7,X8) != X6
      | tl(sk4) != X7
      | ~ ssList(X8)
      | ~ ssList(X7)
      | sk3 = X6
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.3DfDkR8Ii0/Vampire---4.8_28897',co1_8) ).

fof(f254,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f192,f251,f247]) ).

fof(f192,axiom,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox/tmp/tmp.3DfDkR8Ii0/Vampire---4.8_28897',co1_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : SWC311-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.15  % 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
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:40:19 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  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.3DfDkR8Ii0/Vampire---4.8_28897
% 0.53/0.75  % (29152)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 (2996ds/83Mi)
% 0.53/0.75  % (29153)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 (2996ds/56Mi)
% 0.53/0.75  % (29146)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 (2996ds/34Mi)
% 0.53/0.75  % (29148)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.75  % (29147)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 (2996ds/51Mi)
% 0.53/0.75  % (29151)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.53/0.75  % (29150)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 (2996ds/34Mi)
% 0.53/0.75  % (29149)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.60/0.75  % (29153)Refutation not found, incomplete strategy% (29153)------------------------------
% 0.60/0.75  % (29153)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75  % (29153)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75  
% 0.60/0.75  % (29153)Memory used [KB]: 1212
% 0.60/0.75  % (29153)Time elapsed: 0.005 s
% 0.60/0.75  % (29153)Instructions burned: 5 (million)
% 0.60/0.75  % (29153)------------------------------
% 0.60/0.75  % (29153)------------------------------
% 0.60/0.75  % (29154)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 (2996ds/55Mi)
% 0.60/0.76  % (29147)First to succeed.
% 0.60/0.76  % (29147)Refutation found. Thanks to Tanya!
% 0.60/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76  % (29147)------------------------------
% 0.60/0.76  % (29147)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (29147)Termination reason: Refutation
% 0.60/0.76  
% 0.60/0.76  % (29147)Memory used [KB]: 1336
% 0.60/0.76  % (29147)Time elapsed: 0.015 s
% 0.60/0.76  % (29147)Instructions burned: 22 (million)
% 0.60/0.76  % (29147)------------------------------
% 0.60/0.76  % (29147)------------------------------
% 0.60/0.76  % (29142)Success in time 0.391 s
% 0.60/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------