TSTP Solution File: SEU210+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU210+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n011.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 03:50:42 EDT 2024

% Result   : Theorem 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   66 (  11 unt;   0 def)
%            Number of atoms       :  245 (  31 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  298 ( 119   ~; 102   |;  57   &)
%                                         (   9 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   2 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :  141 ( 114   !;  27   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f580,plain,
    $false,
    inference(avatar_sat_refutation,[],[f191,f579]) ).

fof(f579,plain,
    ~ spl14_2,
    inference(avatar_contradiction_clause,[],[f578]) ).

fof(f578,plain,
    ( $false
    | ~ spl14_2 ),
    inference(subsumption_resolution,[],[f577,f95]) ).

fof(f95,plain,
    empty_set != sK0,
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ( empty_set = relation_inverse_image(sK1,sK0)
    & subset(sK0,relation_rng(sK1))
    & empty_set != sK0
    & relation(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f44,f63]) ).

fof(f63,plain,
    ( ? [X0,X1] :
        ( empty_set = relation_inverse_image(X1,X0)
        & subset(X0,relation_rng(X1))
        & empty_set != X0
        & relation(X1) )
   => ( empty_set = relation_inverse_image(sK1,sK0)
      & subset(sK0,relation_rng(sK1))
      & empty_set != sK0
      & relation(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f44,plain,
    ? [X0,X1] :
      ( empty_set = relation_inverse_image(X1,X0)
      & subset(X0,relation_rng(X1))
      & empty_set != X0
      & relation(X1) ),
    inference(flattening,[],[f43]) ).

fof(f43,plain,
    ? [X0,X1] :
      ( empty_set = relation_inverse_image(X1,X0)
      & subset(X0,relation_rng(X1))
      & empty_set != X0
      & relation(X1) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X0,X1] :
        ( relation(X1)
       => ~ ( empty_set = relation_inverse_image(X1,X0)
            & subset(X0,relation_rng(X1))
            & empty_set != X0 ) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X0,X1] :
      ( relation(X1)
     => ~ ( empty_set = relation_inverse_image(X1,X0)
          & subset(X0,relation_rng(X1))
          & empty_set != X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.40dK4LJH90/Vampire---4.8_27517',t174_relat_1) ).

fof(f577,plain,
    ( empty_set = sK0
    | ~ spl14_2 ),
    inference(forward_demodulation,[],[f557,f547]) ).

fof(f547,plain,
    ( empty_set = relation_rng(empty_set)
    | ~ spl14_2 ),
    inference(resolution,[],[f239,f228]) ).

fof(f228,plain,
    ( ! [X0] : ~ in(X0,empty_set)
    | ~ spl14_2 ),
    inference(subsumption_resolution,[],[f226,f94]) ).

fof(f94,plain,
    relation(sK1),
    inference(cnf_transformation,[],[f64]) ).

fof(f226,plain,
    ( ! [X0] :
        ( ~ in(X0,empty_set)
        | ~ relation(sK1) )
    | ~ spl14_2 ),
    inference(superposition,[],[f201,f97]) ).

fof(f97,plain,
    empty_set = relation_inverse_image(sK1,sK0),
    inference(cnf_transformation,[],[f64]) ).

fof(f201,plain,
    ( ! [X0,X1] :
        ( ~ in(X0,relation_inverse_image(X1,sK0))
        | ~ relation(X1) )
    | ~ spl14_2 ),
    inference(resolution,[],[f157,f119]) ).

fof(f119,plain,
    ! [X2,X0,X1] :
      ( in(sK5(X0,X1,X2),X1)
      | ~ in(X0,relation_inverse_image(X2,X1))
      | ~ relation(X2) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X0,relation_inverse_image(X2,X1))
          | ! [X3] :
              ( ~ in(X3,X1)
              | ~ in(ordered_pair(X0,X3),X2)
              | ~ in(X3,relation_rng(X2)) ) )
        & ( ( in(sK5(X0,X1,X2),X1)
            & in(ordered_pair(X0,sK5(X0,X1,X2)),X2)
            & in(sK5(X0,X1,X2),relation_rng(X2)) )
          | ~ in(X0,relation_inverse_image(X2,X1)) ) )
      | ~ relation(X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f75,f76]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( in(X4,X1)
          & in(ordered_pair(X0,X4),X2)
          & in(X4,relation_rng(X2)) )
     => ( in(sK5(X0,X1,X2),X1)
        & in(ordered_pair(X0,sK5(X0,X1,X2)),X2)
        & in(sK5(X0,X1,X2),relation_rng(X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X0,relation_inverse_image(X2,X1))
          | ! [X3] :
              ( ~ in(X3,X1)
              | ~ in(ordered_pair(X0,X3),X2)
              | ~ in(X3,relation_rng(X2)) ) )
        & ( ? [X4] :
              ( in(X4,X1)
              & in(ordered_pair(X0,X4),X2)
              & in(X4,relation_rng(X2)) )
          | ~ in(X0,relation_inverse_image(X2,X1)) ) )
      | ~ relation(X2) ),
    inference(rectify,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X0,relation_inverse_image(X2,X1))
          | ! [X3] :
              ( ~ in(X3,X1)
              | ~ in(ordered_pair(X0,X3),X2)
              | ~ in(X3,relation_rng(X2)) ) )
        & ( ? [X3] :
              ( in(X3,X1)
              & in(ordered_pair(X0,X3),X2)
              & in(X3,relation_rng(X2)) )
          | ~ in(X0,relation_inverse_image(X2,X1)) ) )
      | ~ relation(X2) ),
    inference(nnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( ( in(X0,relation_inverse_image(X2,X1))
      <=> ? [X3] :
            ( in(X3,X1)
            & in(ordered_pair(X0,X3),X2)
            & in(X3,relation_rng(X2)) ) )
      | ~ relation(X2) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0,X1,X2] :
      ( relation(X2)
     => ( in(X0,relation_inverse_image(X2,X1))
      <=> ? [X3] :
            ( in(X3,X1)
            & in(ordered_pair(X0,X3),X2)
            & in(X3,relation_rng(X2)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.40dK4LJH90/Vampire---4.8_27517',t166_relat_1) ).

fof(f157,plain,
    ( ! [X0] : ~ in(X0,sK0)
    | ~ spl14_2 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f156,plain,
    ( spl14_2
  <=> ! [X0] : ~ in(X0,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).

fof(f239,plain,
    ( ! [X0] :
        ( in(sK11(empty_set,X0),X0)
        | relation_rng(empty_set) = X0 )
    | ~ spl14_2 ),
    inference(subsumption_resolution,[],[f232,f115]) ).

fof(f115,plain,
    relation(empty_set),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,axiom,
    ( relation(empty_set)
    & empty(empty_set) ),
    file('/export/starexec/sandbox/tmp/tmp.40dK4LJH90/Vampire---4.8_27517',fc4_relat_1) ).

fof(f232,plain,
    ( ! [X0] :
        ( relation_rng(empty_set) = X0
        | in(sK11(empty_set,X0),X0)
        | ~ relation(empty_set) )
    | ~ spl14_2 ),
    inference(resolution,[],[f228,f138]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( in(ordered_pair(sK12(X0,X1),sK11(X0,X1)),X0)
      | relation_rng(X0) = X1
      | in(sK11(X0,X1),X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ( ( ! [X3] : ~ in(ordered_pair(X3,sK11(X0,X1)),X0)
                | ~ in(sK11(X0,X1),X1) )
              & ( in(ordered_pair(sK12(X0,X1),sK11(X0,X1)),X0)
                | in(sK11(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( in(ordered_pair(sK13(X0,X5),X5),X0)
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f89,f92,f91,f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
            | ~ in(X2,X1) )
          & ( ? [X4] : in(ordered_pair(X4,X2),X0)
            | in(X2,X1) ) )
     => ( ( ! [X3] : ~ in(ordered_pair(X3,sK11(X0,X1)),X0)
          | ~ in(sK11(X0,X1),X1) )
        & ( ? [X4] : in(ordered_pair(X4,sK11(X0,X1)),X0)
          | in(sK11(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ? [X4] : in(ordered_pair(X4,sK11(X0,X1)),X0)
     => in(ordered_pair(sK12(X0,X1),sK11(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f92,plain,
    ! [X0,X5] :
      ( ? [X7] : in(ordered_pair(X7,X5),X0)
     => in(ordered_pair(sK13(X0,X5),X5),X0) ),
    introduced(choice_axiom,[]) ).

fof(f89,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( ? [X4] : in(ordered_pair(X4,X2),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( ? [X7] : in(ordered_pair(X7,X5),X0)
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f88]) ).

fof(f88,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.40dK4LJH90/Vampire---4.8_27517',d5_relat_1) ).

fof(f557,plain,
    ( sK0 = relation_rng(empty_set)
    | ~ spl14_2 ),
    inference(resolution,[],[f239,f157]) ).

fof(f191,plain,
    spl14_2,
    inference(avatar_split_clause,[],[f190,f156]) ).

fof(f190,plain,
    ! [X0] : ~ in(X0,sK0),
    inference(subsumption_resolution,[],[f188,f116]) ).

fof(f116,plain,
    empty(empty_set),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    empty(empty_set),
    file('/export/starexec/sandbox/tmp/tmp.40dK4LJH90/Vampire---4.8_27517',fc1_xboole_0) ).

fof(f188,plain,
    ! [X0] :
      ( ~ in(X0,sK0)
      | ~ empty(empty_set) ),
    inference(resolution,[],[f186,f133]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ empty(X1) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,axiom,
    ! [X0,X1] :
      ~ ( empty(X1)
        & in(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.40dK4LJH90/Vampire---4.8_27517',t7_boole) ).

fof(f186,plain,
    ! [X0] :
      ( in(sK13(sK1,X0),empty_set)
      | ~ in(X0,sK0) ),
    inference(subsumption_resolution,[],[f185,f142]) ).

fof(f142,plain,
    ! [X0] :
      ( in(X0,relation_rng(sK1))
      | ~ in(X0,sK0) ),
    inference(resolution,[],[f96,f110]) ).

fof(f110,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK4(X0,X1),X1)
          & in(sK4(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f71,f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK4(X0,X1),X1)
        & in(sK4(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.40dK4LJH90/Vampire---4.8_27517',d3_tarski) ).

fof(f96,plain,
    subset(sK0,relation_rng(sK1)),
    inference(cnf_transformation,[],[f64]) ).

fof(f185,plain,
    ! [X0] :
      ( ~ in(X0,sK0)
      | in(sK13(sK1,X0),empty_set)
      | ~ in(X0,relation_rng(sK1)) ),
    inference(subsumption_resolution,[],[f182,f94]) ).

fof(f182,plain,
    ! [X0] :
      ( ~ in(X0,sK0)
      | in(sK13(sK1,X0),empty_set)
      | ~ in(X0,relation_rng(sK1))
      | ~ relation(sK1) ),
    inference(resolution,[],[f145,f141]) ).

fof(f141,plain,
    ! [X0,X5] :
      ( in(ordered_pair(sK13(X0,X5),X5),X0)
      | ~ in(X5,relation_rng(X0))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f136]) ).

fof(f136,plain,
    ! [X0,X1,X5] :
      ( in(ordered_pair(sK13(X0,X5),X5),X0)
      | ~ in(X5,X1)
      | relation_rng(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ~ in(ordered_pair(X0,X1),sK1)
      | ~ in(X1,sK0)
      | in(X0,empty_set) ),
    inference(subsumption_resolution,[],[f144,f142]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( in(X0,empty_set)
      | ~ in(X1,sK0)
      | ~ in(ordered_pair(X0,X1),sK1)
      | ~ in(X1,relation_rng(sK1)) ),
    inference(subsumption_resolution,[],[f143,f94]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( in(X0,empty_set)
      | ~ in(X1,sK0)
      | ~ in(ordered_pair(X0,X1),sK1)
      | ~ in(X1,relation_rng(sK1))
      | ~ relation(sK1) ),
    inference(superposition,[],[f120,f97]) ).

fof(f120,plain,
    ! [X2,X3,X0,X1] :
      ( in(X0,relation_inverse_image(X2,X1))
      | ~ in(X3,X1)
      | ~ in(ordered_pair(X0,X3),X2)
      | ~ in(X3,relation_rng(X2))
      | ~ relation(X2) ),
    inference(cnf_transformation,[],[f77]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU210+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14  % 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
% 0.14/0.36  % Computer : n011.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 16:14:31 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.40dK4LJH90/Vampire---4.8_27517
% 0.55/0.73  % (27631)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)
% 0.55/0.73  % (27632)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)
% 0.55/0.73  % (27625)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)
% 0.55/0.73  % (27626)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)
% 0.55/0.73  % (27628)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)
% 0.55/0.73  % (27627)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73  % (27629)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)
% 0.55/0.74  % (27630)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)
% 0.55/0.74  % (27628)Refutation not found, incomplete strategy% (27628)------------------------------
% 0.55/0.74  % (27628)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (27628)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (27628)Memory used [KB]: 1054
% 0.55/0.74  % (27628)Time elapsed: 0.004 s
% 0.55/0.74  % (27628)Instructions burned: 4 (million)
% 0.55/0.74  % (27628)------------------------------
% 0.55/0.74  % (27628)------------------------------
% 0.55/0.75  % (27630)First to succeed.
% 0.55/0.75  % (27630)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Theorem for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (27630)------------------------------
% 0.55/0.75  % (27630)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (27630)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (27630)Memory used [KB]: 1228
% 0.55/0.75  % (27630)Time elapsed: 0.015 s
% 0.55/0.75  % (27630)Instructions burned: 21 (million)
% 0.55/0.75  % (27630)------------------------------
% 0.55/0.75  % (27630)------------------------------
% 0.55/0.75  % (27624)Success in time 0.372 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------