TSTP Solution File: RNG047+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG047+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : 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 : Sun May  5 08:53:49 EDT 2024

% Result   : Theorem 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   75 (  15 unt;   0 def)
%            Number of atoms       :  234 ( 107 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  257 (  98   ~; 108   |;  36   &)
%                                         (   5 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   66 (  58   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f501,plain,
    $false,
    inference(avatar_sat_refutation,[],[f112,f144,f500]) ).

fof(f500,plain,
    ( ~ spl2_1
    | ~ spl2_3 ),
    inference(avatar_contradiction_clause,[],[f499]) ).

fof(f499,plain,
    ( $false
    | ~ spl2_1
    | ~ spl2_3 ),
    inference(subsumption_resolution,[],[f498,f63]) ).

fof(f63,plain,
    aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
    inference(flattening,[],[f36]) ).

fof(f36,negated_conjecture,
    aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
    inference(negated_conjecture,[],[f35]) ).

fof(f35,conjecture,
    aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)),
    file('/export/starexec/sandbox/tmp/tmp.csWSR1JBkZ/Vampire---4.8_20135',m__) ).

fof(f498,plain,
    ( aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt))
    | ~ spl2_1
    | ~ spl2_3 ),
    inference(forward_demodulation,[],[f497,f451]) ).

fof(f451,plain,
    ( aDimensionOf0(sziznziztdt0(xs)) = sK1(aDimensionOf0(xs))
    | ~ spl2_1 ),
    inference(subsumption_resolution,[],[f445,f101]) ).

fof(f101,plain,
    ( aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f100,plain,
    ( spl2_1
  <=> aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f445,plain,
    ( aDimensionOf0(sziznziztdt0(xs)) = sK1(aDimensionOf0(xs))
    | ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
    inference(superposition,[],[f140,f92]) ).

fof(f92,plain,
    aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))),
    inference(subsumption_resolution,[],[f89,f79]) ).

fof(f79,plain,
    sz00 != aDimensionOf0(xs),
    inference(superposition,[],[f62,f61]) ).

fof(f61,plain,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    ( sz00 != aDimensionOf0(xt)
    & aDimensionOf0(xs) = aDimensionOf0(xt) ),
    file('/export/starexec/sandbox/tmp/tmp.csWSR1JBkZ/Vampire---4.8_20135',m__1329_01) ).

fof(f62,plain,
    sz00 != aDimensionOf0(xt),
    inference(cnf_transformation,[],[f34]) ).

fof(f89,plain,
    ( sz00 = aDimensionOf0(xs)
    | aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) ),
    inference(resolution,[],[f77,f59]) ).

fof(f59,plain,
    aVector0(xs),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,axiom,
    ( aVector0(xt)
    & aVector0(xs) ),
    file('/export/starexec/sandbox/tmp/tmp.csWSR1JBkZ/Vampire---4.8_20135',m__1329) ).

fof(f77,plain,
    ! [X0] :
      ( ~ aVector0(X0)
      | sz00 = aDimensionOf0(X0)
      | aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) ),
    inference(equality_resolution,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
      | sziznziztdt0(X0) != X1
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( sziznziztdt0(X0) = X1
            | ( sdtlbdtrb0(X1,sK0(X0,X1)) != sdtlbdtrb0(X0,sK0(X0,X1))
              & aNaturalNumber0(sK0(X0,X1)) )
            | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
            | ~ aVector0(X1) )
          & ( ( ! [X3] :
                  ( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
                  | ~ aNaturalNumber0(X3) )
              & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
              & aVector0(X1) )
            | sziznziztdt0(X0) != X1 ) )
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f54,f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
          & aNaturalNumber0(X2) )
     => ( sdtlbdtrb0(X1,sK0(X0,X1)) != sdtlbdtrb0(X0,sK0(X0,X1))
        & aNaturalNumber0(sK0(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f54,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( sziznziztdt0(X0) = X1
            | ? [X2] :
                ( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
                & aNaturalNumber0(X2) )
            | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
            | ~ aVector0(X1) )
          & ( ( ! [X3] :
                  ( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
                  | ~ aNaturalNumber0(X3) )
              & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
              & aVector0(X1) )
            | sziznziztdt0(X0) != X1 ) )
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(rectify,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( sziznziztdt0(X0) = X1
            | ? [X2] :
                ( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
                & aNaturalNumber0(X2) )
            | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
            | ~ aVector0(X1) )
          & ( ( ! [X2] :
                  ( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
                  | ~ aNaturalNumber0(X2) )
              & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
              & aVector0(X1) )
            | sziznziztdt0(X0) != X1 ) )
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( sziznziztdt0(X0) = X1
            | ? [X2] :
                ( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
                & aNaturalNumber0(X2) )
            | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
            | ~ aVector0(X1) )
          & ( ( ! [X2] :
                  ( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
                  | ~ aNaturalNumber0(X2) )
              & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
              & aVector0(X1) )
            | sziznziztdt0(X0) != X1 ) )
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(nnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ! [X1] :
          ( sziznziztdt0(X0) = X1
        <=> ( ! [X2] :
                ( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
                | ~ aNaturalNumber0(X2) )
            & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
            & aVector0(X1) ) )
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X0] :
      ( ! [X1] :
          ( sziznziztdt0(X0) = X1
        <=> ( ! [X2] :
                ( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
                | ~ aNaturalNumber0(X2) )
            & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
            & aVector0(X1) ) )
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0] :
      ( aVector0(X0)
     => ( sz00 != aDimensionOf0(X0)
       => ! [X1] :
            ( sziznziztdt0(X0) = X1
          <=> ( ! [X2] :
                  ( aNaturalNumber0(X2)
                 => sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
              & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
              & aVector0(X1) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.csWSR1JBkZ/Vampire---4.8_20135',mDefInit) ).

fof(f140,plain,
    ! [X0] :
      ( sK1(szszuzczcdt0(X0)) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f139,f72]) ).

fof(f72,plain,
    ! [X0] :
      ( aNaturalNumber0(szszuzczcdt0(X0))
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ( sz00 != szszuzczcdt0(X0)
        & aNaturalNumber0(szszuzczcdt0(X0)) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 != szszuzczcdt0(X0)
        & aNaturalNumber0(szszuzczcdt0(X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.csWSR1JBkZ/Vampire---4.8_20135',mSuccNat) ).

fof(f139,plain,
    ! [X0] :
      ( sK1(szszuzczcdt0(X0)) = X0
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(szszuzczcdt0(X0)) ),
    inference(subsumption_resolution,[],[f136,f73]) ).

fof(f73,plain,
    ! [X0] :
      ( sz00 != szszuzczcdt0(X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f136,plain,
    ! [X0] :
      ( sK1(szszuzczcdt0(X0)) = X0
      | ~ aNaturalNumber0(X0)
      | sz00 = szszuzczcdt0(X0)
      | ~ aNaturalNumber0(szszuzczcdt0(X0)) ),
    inference(equality_resolution,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( szszuzczcdt0(X1) != X0
      | sK1(X0) = X1
      | ~ aNaturalNumber0(X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f84,f70]) ).

fof(f70,plain,
    ! [X0] :
      ( aNaturalNumber0(sK1(X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ( szszuzczcdt0(sK1(X0)) = X0
        & aNaturalNumber0(sK1(X0)) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f48,f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ? [X1] :
          ( szszuzczcdt0(X1) = X0
          & aNaturalNumber0(X1) )
     => ( szszuzczcdt0(sK1(X0)) = X0
        & aNaturalNumber0(sK1(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ! [X0] :
      ( ? [X1] :
          ( szszuzczcdt0(X1) = X0
          & aNaturalNumber0(X1) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ? [X1] :
          ( szszuzczcdt0(X1) = X0
          & aNaturalNumber0(X1) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ( sz00 != X0
        & aNaturalNumber0(X0) )
     => ? [X1] :
          ( szszuzczcdt0(X1) = X0
          & aNaturalNumber0(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.csWSR1JBkZ/Vampire---4.8_20135',mNatExtr) ).

fof(f84,plain,
    ! [X0,X1] :
      ( szszuzczcdt0(X1) != X0
      | sK1(X0) = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(sK1(X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(superposition,[],[f75,f71]) ).

fof(f71,plain,
    ! [X0] :
      ( szszuzczcdt0(sK1(X0)) = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( szszuzczcdt0(X0) != szszuzczcdt0(X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( X0 = X1
      | szszuzczcdt0(X0) != szszuzczcdt0(X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( X0 = X1
      | szszuzczcdt0(X0) != szszuzczcdt0(X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
       => X0 = X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.csWSR1JBkZ/Vampire---4.8_20135',mSuccEqu) ).

fof(f497,plain,
    ( aDimensionOf0(sziznziztdt0(xt)) = sK1(aDimensionOf0(xs))
    | ~ spl2_3 ),
    inference(subsumption_resolution,[],[f491,f125]) ).

fof(f125,plain,
    ( aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f124,plain,
    ( spl2_3
  <=> aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f491,plain,
    ( aDimensionOf0(sziznziztdt0(xt)) = sK1(aDimensionOf0(xs))
    | ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))) ),
    inference(superposition,[],[f140,f94]) ).

fof(f94,plain,
    aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))),
    inference(forward_demodulation,[],[f93,f61]) ).

fof(f93,plain,
    aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))),
    inference(subsumption_resolution,[],[f90,f62]) ).

fof(f90,plain,
    ( sz00 = aDimensionOf0(xt)
    | aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) ),
    inference(resolution,[],[f77,f60]) ).

fof(f60,plain,
    aVector0(xt),
    inference(cnf_transformation,[],[f33]) ).

fof(f144,plain,
    spl2_3,
    inference(avatar_contradiction_clause,[],[f143]) ).

fof(f143,plain,
    ( $false
    | spl2_3 ),
    inference(subsumption_resolution,[],[f142,f60]) ).

fof(f142,plain,
    ( ~ aVector0(xt)
    | spl2_3 ),
    inference(subsumption_resolution,[],[f141,f62]) ).

fof(f141,plain,
    ( sz00 = aDimensionOf0(xt)
    | ~ aVector0(xt)
    | spl2_3 ),
    inference(resolution,[],[f132,f78]) ).

fof(f78,plain,
    ! [X0] :
      ( aVector0(sziznziztdt0(X0))
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(equality_resolution,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( aVector0(X1)
      | sziznziztdt0(X0) != X1
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f132,plain,
    ( ~ aVector0(sziznziztdt0(xt))
    | spl2_3 ),
    inference(resolution,[],[f126,f69]) ).

fof(f69,plain,
    ! [X0] :
      ( aNaturalNumber0(aDimensionOf0(X0))
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( aNaturalNumber0(aDimensionOf0(X0))
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0] :
      ( aVector0(X0)
     => aNaturalNumber0(aDimensionOf0(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.csWSR1JBkZ/Vampire---4.8_20135',mDimNat) ).

fof(f126,plain,
    ( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))
    | spl2_3 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f112,plain,
    spl2_1,
    inference(avatar_contradiction_clause,[],[f111]) ).

fof(f111,plain,
    ( $false
    | spl2_1 ),
    inference(subsumption_resolution,[],[f110,f59]) ).

fof(f110,plain,
    ( ~ aVector0(xs)
    | spl2_1 ),
    inference(subsumption_resolution,[],[f109,f79]) ).

fof(f109,plain,
    ( sz00 = aDimensionOf0(xs)
    | ~ aVector0(xs)
    | spl2_1 ),
    inference(resolution,[],[f108,f78]) ).

fof(f108,plain,
    ( ~ aVector0(sziznziztdt0(xs))
    | spl2_1 ),
    inference(resolution,[],[f102,f69]) ).

fof(f102,plain,
    ( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
    | spl2_1 ),
    inference(avatar_component_clause,[],[f100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : RNG047+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15  % 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 : n011.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   : Fri May  3 18:20:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ 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.csWSR1JBkZ/Vampire---4.8_20135
% 0.59/0.75  % (20471)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)
% 0.59/0.75  % (20474)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)
% 0.59/0.75  % (20475)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)
% 0.59/0.75  % (20473)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (20472)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)
% 0.59/0.75  % (20476)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)
% 0.59/0.75  % (20477)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)
% 0.59/0.75  % (20471)Refutation not found, incomplete strategy% (20471)------------------------------
% 0.59/0.75  % (20471)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (20471)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (20471)Memory used [KB]: 1071
% 0.59/0.75  % (20471)Time elapsed: 0.003 s
% 0.59/0.75  % (20471)Instructions burned: 5 (million)
% 0.59/0.75  % (20478)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)
% 0.59/0.75  % (20471)------------------------------
% 0.59/0.75  % (20471)------------------------------
% 0.59/0.75  % (20476)Refutation not found, incomplete strategy% (20476)------------------------------
% 0.59/0.75  % (20476)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (20476)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (20476)Memory used [KB]: 1047
% 0.59/0.75  % (20476)Time elapsed: 0.004 s
% 0.59/0.75  % (20476)Instructions burned: 3 (million)
% 0.59/0.75  % (20475)Refutation not found, incomplete strategy% (20475)------------------------------
% 0.59/0.75  % (20475)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (20475)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (20475)Memory used [KB]: 1090
% 0.59/0.75  % (20475)Time elapsed: 0.004 s
% 0.59/0.75  % (20475)Instructions burned: 5 (million)
% 0.59/0.75  % (20476)------------------------------
% 0.59/0.75  % (20476)------------------------------
% 0.59/0.75  % (20475)------------------------------
% 0.59/0.75  % (20475)------------------------------
% 0.59/0.75  % (20478)Refutation not found, incomplete strategy% (20478)------------------------------
% 0.59/0.75  % (20478)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (20478)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (20478)Memory used [KB]: 1031
% 0.59/0.75  % (20478)Time elapsed: 0.003 s
% 0.59/0.75  % (20478)Instructions burned: 3 (million)
% 0.59/0.75  % (20478)------------------------------
% 0.59/0.75  % (20478)------------------------------
% 0.59/0.75  % (20479)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)
% 0.59/0.75  % (20481)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 (2996ds/208Mi)
% 0.59/0.76  % (20482)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 (2996ds/52Mi)
% 0.61/0.76  % (20474)Instruction limit reached!
% 0.61/0.76  % (20474)------------------------------
% 0.61/0.76  % (20474)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (20474)Termination reason: Unknown
% 0.61/0.76  % (20474)Termination phase: Saturation
% 0.61/0.76  
% 0.61/0.76  % (20474)Memory used [KB]: 1380
% 0.61/0.76  % (20474)Time elapsed: 0.017 s
% 0.61/0.76  % (20474)Instructions burned: 34 (million)
% 0.61/0.76  % (20474)------------------------------
% 0.61/0.76  % (20474)------------------------------
% 0.61/0.77  % (20473)First to succeed.
% 0.61/0.77  % (20480)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 (2996ds/50Mi)
% 0.61/0.77  % (20473)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20380"
% 0.61/0.77  % (20483)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 (2996ds/518Mi)
% 0.61/0.77  % (20473)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Theorem for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (20473)------------------------------
% 0.61/0.77  % (20473)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (20473)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (20473)Memory used [KB]: 1207
% 0.61/0.77  % (20473)Time elapsed: 0.020 s
% 0.61/0.77  % (20473)Instructions burned: 30 (million)
% 0.61/0.77  % (20380)Success in time 0.398 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------