TSTP Solution File: SWC229-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC229-1 : 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 : n014.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 04:00:44 EDT 2024

% Result   : Unsatisfiable 0.61s 0.84s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   90 (  17 unt;   0 def)
%            Number of atoms       :  273 (  46 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  360 ( 177   ~; 169   |;   0   &)
%                                         (  14 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   22 (  20 usr;  15 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   60 (  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f639,plain,
    $false,
    inference(avatar_sat_refutation,[],[f253,f288,f290,f303,f364,f377,f401,f422,f432,f577,f597,f616,f619,f635,f638]) ).

fof(f638,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | spl0_22
    | ~ spl0_21
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f637,f399,f362,f371,f265,f261]) ).

fof(f261,plain,
    ( spl0_5
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f265,plain,
    ( spl0_6
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f371,plain,
    ( spl0_22
  <=> ! [X0] :
        ( cons(X0,nil) != sk3
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f362,plain,
    ( spl0_21
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | memberP(nil,sk5(X1,nil,X0))
        | ~ ssList(X1)
        | app(cons(X0,nil),X1) != sk3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f399,plain,
    ( spl0_27
  <=> ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk3
        | ssItem(sk5(X1,nil,X0))
        | ~ ssList(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f637,plain,
    ( ! [X0] :
        ( cons(X0,nil) != sk3
        | ~ ssList(nil)
        | ~ ssItem(X0)
        | ~ ssList(sk3) )
    | ~ spl0_21
    | ~ spl0_27 ),
    inference(inner_rewriting,[],[f404]) ).

fof(f404,plain,
    ( ! [X0] :
        ( cons(X0,nil) != sk3
        | ~ ssList(nil)
        | ~ ssItem(X0)
        | ~ ssList(cons(X0,nil)) )
    | ~ spl0_21
    | ~ spl0_27 ),
    inference(superposition,[],[f403,f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.TJz5FSTJ8a/Vampire---4.8_5883',clause73) ).

fof(f403,plain,
    ( ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk3
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | ~ spl0_21
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f402]) ).

fof(f402,plain,
    ( ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk3
        | ~ ssList(X1)
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | app(cons(X0,nil),X1) != sk3
        | ~ ssItem(X0) )
    | ~ spl0_21
    | ~ spl0_27 ),
    inference(resolution,[],[f400,f366]) ).

fof(f366,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(sk5(X1,nil,X0))
        | ~ ssList(X1)
        | app(cons(X0,nil),X1) != sk3
        | ~ ssItem(X0) )
    | ~ spl0_21 ),
    inference(resolution,[],[f363,f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.TJz5FSTJ8a/Vampire---4.8_5883',clause71) ).

fof(f363,plain,
    ( ! [X0,X1] :
        ( memberP(nil,sk5(X1,nil,X0))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | app(cons(X0,nil),X1) != sk3 )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f400,plain,
    ( ! [X0,X1] :
        ( ssItem(sk5(X1,nil,X0))
        | app(cons(X0,nil),X1) != sk3
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f635,plain,
    ~ spl0_59,
    inference(avatar_contradiction_clause,[],[f634]) ).

fof(f634,plain,
    ( $false
    | ~ spl0_59 ),
    inference(trivial_inequality_removal,[],[f631]) ).

fof(f631,plain,
    ( nil != nil
    | ~ spl0_59 ),
    inference(superposition,[],[f202,f615]) ).

fof(f615,plain,
    ( nil = sk3
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f613,plain,
    ( spl0_59
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f202,plain,
    nil != sk3,
    inference(definition_unfolding,[],[f193,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.TJz5FSTJ8a/Vampire---4.8_5883',co1_6) ).

fof(f193,axiom,
    nil != sk1,
    file('/export/starexec/sandbox/tmp/tmp.TJz5FSTJ8a/Vampire---4.8_5883',co1_8) ).

fof(f619,plain,
    spl0_31,
    inference(avatar_contradiction_clause,[],[f618]) ).

fof(f618,plain,
    ( $false
    | spl0_31 ),
    inference(resolution,[],[f473,f47]) ).

fof(f47,axiom,
    ! [X0] : ssItem(skaf44(X0)),
    file('/export/starexec/sandbox/tmp/tmp.TJz5FSTJ8a/Vampire---4.8_5883',clause47) ).

fof(f473,plain,
    ( ~ ssItem(skaf44(sk3))
    | spl0_31 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f471,plain,
    ( spl0_31
  <=> ssItem(skaf44(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f616,plain,
    ( spl0_59
    | ~ spl0_5
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f611,f429,f261,f613]) ).

fof(f429,plain,
    ( spl0_30
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f611,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | ~ spl0_30 ),
    inference(resolution,[],[f605,f80]) ).

fof(f80,axiom,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.TJz5FSTJ8a/Vampire---4.8_5883',clause80) ).

fof(f605,plain,
    ( segmentP(nil,sk3)
    | ~ spl0_30 ),
    inference(superposition,[],[f192,f431]) ).

fof(f431,plain,
    ( nil = sk4
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f192,axiom,
    segmentP(sk4,sk3),
    file('/export/starexec/sandbox/tmp/tmp.TJz5FSTJ8a/Vampire---4.8_5883',co1_7) ).

fof(f597,plain,
    spl0_29,
    inference(avatar_contradiction_clause,[],[f596]) ).

fof(f596,plain,
    ( $false
    | spl0_29 ),
    inference(resolution,[],[f427,f201]) ).

fof(f201,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.TJz5FSTJ8a/Vampire---4.8_5883',co1_5) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/tmp/tmp.TJz5FSTJ8a/Vampire---4.8_5883',co1_2) ).

fof(f427,plain,
    ( ~ ssList(sk4)
    | spl0_29 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f425,plain,
    ( spl0_29
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f577,plain,
    ( ~ spl0_31
    | ~ spl0_22
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f466,f419,f371,f471]) ).

fof(f419,plain,
    ( spl0_28
  <=> sk3 = cons(skaf44(sk3),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f466,plain,
    ( ~ ssItem(skaf44(sk3))
    | ~ spl0_22
    | ~ spl0_28 ),
    inference(trivial_inequality_removal,[],[f458]) ).

fof(f458,plain,
    ( sk3 != sk3
    | ~ ssItem(skaf44(sk3))
    | ~ spl0_22
    | ~ spl0_28 ),
    inference(superposition,[],[f372,f421]) ).

fof(f421,plain,
    ( sk3 = cons(skaf44(sk3),nil)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f372,plain,
    ( ! [X0] :
        ( cons(X0,nil) != sk3
        | ~ ssItem(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f432,plain,
    ( ~ spl0_6
    | ~ spl0_29
    | spl0_30
    | spl0_4 ),
    inference(avatar_split_clause,[],[f423,f250,f429,f425,f265]) ).

fof(f250,plain,
    ( spl0_4
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f423,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | ~ ssList(nil)
    | spl0_4 ),
    inference(resolution,[],[f252,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.TJz5FSTJ8a/Vampire---4.8_5883',clause100) ).

fof(f252,plain,
    ( ~ neq(sk4,nil)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f422,plain,
    ( spl0_28
    | ~ spl0_5
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f417,f246,f261,f419]) ).

fof(f246,plain,
    ( spl0_3
  <=> singletonP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f417,plain,
    ( ~ ssList(sk3)
    | sk3 = cons(skaf44(sk3),nil)
    | ~ spl0_3 ),
    inference(resolution,[],[f101,f248]) ).

fof(f248,plain,
    ( singletonP(sk3)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f101,axiom,
    ! [X0] :
      ( ~ singletonP(X0)
      | ~ ssList(X0)
      | cons(skaf44(X0),nil) = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.TJz5FSTJ8a/Vampire---4.8_5883',clause101) ).

fof(f401,plain,
    ( ~ spl0_6
    | spl0_27
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f397,f375,f399,f265]) ).

fof(f375,plain,
    ( spl0_23
  <=> ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk3
        | ~ ssList(cons(X0,nil))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | ssItem(sk5(X1,nil,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f397,plain,
    ( ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk3
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | ssItem(sk5(X1,nil,X0))
        | ~ ssList(nil) )
    | ~ spl0_23 ),
    inference(duplicate_literal_removal,[],[f396]) ).

fof(f396,plain,
    ( ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk3
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | ssItem(sk5(X1,nil,X0))
        | ~ ssList(nil)
        | ~ ssItem(X0) )
    | ~ spl0_23 ),
    inference(resolution,[],[f376,f86]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.TJz5FSTJ8a/Vampire---4.8_5883',clause86) ).

fof(f376,plain,
    ( ! [X0,X1] :
        ( ~ ssList(cons(X0,nil))
        | app(cons(X0,nil),X1) != sk3
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | ssItem(sk5(X1,nil,X0)) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f377,plain,
    ( ~ spl0_6
    | spl0_23 ),
    inference(avatar_split_clause,[],[f291,f375,f265]) ).

fof(f291,plain,
    ! [X0,X1] :
      ( app(cons(X0,nil),X1) != sk3
      | ssItem(sk5(X1,nil,X0))
      | ~ ssList(X1)
      | ~ ssList(nil)
      | ~ ssItem(X0)
      | ~ ssList(cons(X0,nil)) ),
    inference(superposition,[],[f203,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.TJz5FSTJ8a/Vampire---4.8_5883',clause74) ).

fof(f203,plain,
    ! [X8,X6,X7] :
      ( sk3 != app(app(X7,cons(X6,nil)),X8)
      | ssItem(sk5(X8,X7,X6))
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f194,f191]) ).

fof(f194,axiom,
    ! [X8,X6,X7] :
      ( ssItem(sk5(X8,X7,X6))
      | sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.TJz5FSTJ8a/Vampire---4.8_5883',co1_9) ).

fof(f364,plain,
    ( spl0_21
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f345,f301,f265,f362]) ).

fof(f301,plain,
    ( spl0_11
  <=> ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk3
        | ~ ssList(cons(X0,nil))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | memberP(nil,sk5(X1,nil,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f345,plain,
    ( ! [X0,X1] :
        ( ~ ssList(nil)
        | ~ ssItem(X0)
        | app(cons(X0,nil),X1) != sk3
        | ~ ssList(X1)
        | memberP(nil,sk5(X1,nil,X0)) )
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f344]) ).

fof(f344,plain,
    ( ! [X0,X1] :
        ( ~ ssList(nil)
        | ~ ssItem(X0)
        | app(cons(X0,nil),X1) != sk3
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | memberP(nil,sk5(X1,nil,X0)) )
    | ~ spl0_11 ),
    inference(resolution,[],[f86,f302]) ).

fof(f302,plain,
    ( ! [X0,X1] :
        ( ~ ssList(cons(X0,nil))
        | app(cons(X0,nil),X1) != sk3
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | memberP(nil,sk5(X1,nil,X0)) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f303,plain,
    ( ~ spl0_6
    | spl0_11 ),
    inference(avatar_split_clause,[],[f292,f301,f265]) ).

fof(f292,plain,
    ! [X0,X1] :
      ( app(cons(X0,nil),X1) != sk3
      | memberP(nil,sk5(X1,nil,X0))
      | ~ ssList(X1)
      | ~ ssList(nil)
      | ~ ssItem(X0)
      | ~ ssList(cons(X0,nil)) ),
    inference(superposition,[],[f204,f74]) ).

fof(f204,plain,
    ! [X8,X6,X7] :
      ( sk3 != app(app(X7,cons(X6,nil)),X8)
      | memberP(X7,sk5(X8,X7,X6))
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f195,f191]) ).

fof(f195,axiom,
    ! [X8,X6,X7] :
      ( memberP(X7,sk5(X8,X7,X6))
      | sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.TJz5FSTJ8a/Vampire---4.8_5883',co1_10) ).

fof(f290,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f289]) ).

fof(f289,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f267,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.TJz5FSTJ8a/Vampire---4.8_5883',clause8) ).

fof(f267,plain,
    ( ~ ssList(nil)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f288,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f287]) ).

fof(f287,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f263,f200]) ).

fof(f200,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.TJz5FSTJ8a/Vampire---4.8_5883',co1_1) ).

fof(f263,plain,
    ( ~ ssList(sk3)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f253,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f199,f250,f246]) ).

fof(f199,axiom,
    ( ~ neq(sk4,nil)
    | singletonP(sk3) ),
    file('/export/starexec/sandbox/tmp/tmp.TJz5FSTJ8a/Vampire---4.8_5883',co1_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWC229-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % 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
% 0.13/0.33  % Computer : n014.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Apr 30 18:11:03 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.13/0.33  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.33  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.TJz5FSTJ8a/Vampire---4.8_5883
% 0.61/0.82  % (5998)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)
% 0.61/0.82  % (5997)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)
% 0.61/0.82  % (5996)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.82  % (5995)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)
% 0.61/0.82  % (5994)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)
% 0.61/0.82  % (5999)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)
% 0.61/0.82  % (6000)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)
% 0.61/0.82  % (6001)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)
% 0.61/0.83  % (5995)First to succeed.
% 0.61/0.84  % (5995)Refutation found. Thanks to Tanya!
% 0.61/0.84  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.84  % (5995)------------------------------
% 0.61/0.84  % (5995)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84  % (5995)Termination reason: Refutation
% 0.61/0.84  
% 0.61/0.84  % (5995)Memory used [KB]: 1356
% 0.61/0.84  % (5995)Time elapsed: 0.014 s
% 0.61/0.84  % (5995)Instructions burned: 22 (million)
% 0.61/0.84  % (5995)------------------------------
% 0.61/0.84  % (5995)------------------------------
% 0.61/0.84  % (5991)Success in time 0.498 s
% 0.61/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------