TSTP Solution File: SEU098+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU098+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n025.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 03:50:03 EDT 2024

% Result   : Theorem 0.63s 0.81s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   83 (  11 unt;   0 def)
%            Number of atoms       :  252 (  15 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  286 ( 117   ~; 118   |;  32   &)
%                                         (   5 <=>;  12  =>;   0  <=;   2 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   3 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-4 aty)
%            Number of variables   :  102 (  97   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f587,plain,
    $false,
    inference(avatar_sat_refutation,[],[f370,f371,f552,f586]) ).

fof(f586,plain,
    ( ~ spl28_1
    | spl28_2 ),
    inference(avatar_contradiction_clause,[],[f585]) ).

fof(f585,plain,
    ( $false
    | ~ spl28_1
    | spl28_2 ),
    inference(subsumption_resolution,[],[f584,f213]) ).

fof(f213,plain,
    relation(sK0),
    inference(cnf_transformation,[],[f156]) ).

fof(f156,plain,
    ( ( ~ finite(sK0)
      | ~ finite(relation_dom(sK0)) )
    & ( finite(sK0)
      | finite(relation_dom(sK0)) )
    & function(sK0)
    & relation(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f154,f155]) ).

fof(f155,plain,
    ( ? [X0] :
        ( ( ~ finite(X0)
          | ~ finite(relation_dom(X0)) )
        & ( finite(X0)
          | finite(relation_dom(X0)) )
        & function(X0)
        & relation(X0) )
   => ( ( ~ finite(sK0)
        | ~ finite(relation_dom(sK0)) )
      & ( finite(sK0)
        | finite(relation_dom(sK0)) )
      & function(sK0)
      & relation(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f154,plain,
    ? [X0] :
      ( ( ~ finite(X0)
        | ~ finite(relation_dom(X0)) )
      & ( finite(X0)
        | finite(relation_dom(X0)) )
      & function(X0)
      & relation(X0) ),
    inference(flattening,[],[f153]) ).

fof(f153,plain,
    ? [X0] :
      ( ( ~ finite(X0)
        | ~ finite(relation_dom(X0)) )
      & ( finite(X0)
        | finite(relation_dom(X0)) )
      & function(X0)
      & relation(X0) ),
    inference(nnf_transformation,[],[f101]) ).

fof(f101,plain,
    ? [X0] :
      ( ( finite(relation_dom(X0))
      <~> finite(X0) )
      & function(X0)
      & relation(X0) ),
    inference(flattening,[],[f100]) ).

fof(f100,plain,
    ? [X0] :
      ( ( finite(relation_dom(X0))
      <~> finite(X0) )
      & function(X0)
      & relation(X0) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,negated_conjecture,
    ~ ! [X0] :
        ( ( function(X0)
          & relation(X0) )
       => ( finite(relation_dom(X0))
        <=> finite(X0) ) ),
    inference(negated_conjecture,[],[f73]) ).

fof(f73,conjecture,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ( finite(relation_dom(X0))
      <=> finite(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.sKuVeGUywP/Vampire---4.8_10314',t29_finset_1) ).

fof(f584,plain,
    ( ~ relation(sK0)
    | ~ spl28_1
    | spl28_2 ),
    inference(subsumption_resolution,[],[f583,f214]) ).

fof(f214,plain,
    function(sK0),
    inference(cnf_transformation,[],[f156]) ).

fof(f583,plain,
    ( ~ function(sK0)
    | ~ relation(sK0)
    | ~ spl28_1
    | spl28_2 ),
    inference(subsumption_resolution,[],[f579,f364]) ).

fof(f364,plain,
    ( finite(relation_dom(sK0))
    | ~ spl28_1 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f363,plain,
    ( spl28_1
  <=> finite(relation_dom(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl28_1])]) ).

fof(f579,plain,
    ( ~ finite(relation_dom(sK0))
    | ~ function(sK0)
    | ~ relation(sK0)
    | ~ spl28_1
    | spl28_2 ),
    inference(resolution,[],[f577,f233]) ).

fof(f233,plain,
    ! [X0] :
      ( finite(relation_rng(X0))
      | ~ finite(relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( finite(relation_rng(X0))
      | ~ finite(relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( finite(relation_rng(X0))
      | ~ finite(relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ( finite(relation_dom(X0))
       => finite(relation_rng(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.sKuVeGUywP/Vampire---4.8_10314',t26_finset_1) ).

fof(f577,plain,
    ( ~ finite(relation_rng(sK0))
    | ~ spl28_1
    | spl28_2 ),
    inference(subsumption_resolution,[],[f573,f364]) ).

fof(f573,plain,
    ( ~ finite(relation_rng(sK0))
    | ~ finite(relation_dom(sK0))
    | spl28_2 ),
    inference(resolution,[],[f564,f258]) ).

fof(f258,plain,
    ! [X0,X1] :
      ( finite(cartesian_product2(X0,X1))
      | ~ finite(X1)
      | ~ finite(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( finite(cartesian_product2(X0,X1))
      | ~ finite(X1)
      | ~ finite(X0) ),
    inference(flattening,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( finite(cartesian_product2(X0,X1))
      | ~ finite(X1)
      | ~ finite(X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,axiom,
    ! [X0,X1] :
      ( ( finite(X1)
        & finite(X0) )
     => finite(cartesian_product2(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.sKuVeGUywP/Vampire---4.8_10314',t19_finset_1) ).

fof(f564,plain,
    ( ~ finite(cartesian_product2(relation_dom(sK0),relation_rng(sK0)))
    | spl28_2 ),
    inference(subsumption_resolution,[],[f563,f213]) ).

fof(f563,plain,
    ( ~ finite(cartesian_product2(relation_dom(sK0),relation_rng(sK0)))
    | ~ relation(sK0)
    | spl28_2 ),
    inference(resolution,[],[f559,f234]) ).

fof(f234,plain,
    ! [X0] :
      ( subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0] :
      ( subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( relation(X0)
     => subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
    file('/export/starexec/sandbox2/tmp/tmp.sKuVeGUywP/Vampire---4.8_10314',t21_relat_1) ).

fof(f559,plain,
    ( ! [X0] :
        ( ~ subset(sK0,X0)
        | ~ finite(X0) )
    | spl28_2 ),
    inference(resolution,[],[f369,f268]) ).

fof(f268,plain,
    ! [X0,X1] :
      ( finite(X0)
      | ~ finite(X1)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( finite(X0)
      | ~ finite(X1)
      | ~ subset(X0,X1) ),
    inference(flattening,[],[f130]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( finite(X0)
      | ~ finite(X1)
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,axiom,
    ! [X0,X1] :
      ( ( finite(X1)
        & subset(X0,X1) )
     => finite(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.sKuVeGUywP/Vampire---4.8_10314',t13_finset_1) ).

fof(f369,plain,
    ( ~ finite(sK0)
    | spl28_2 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f367,plain,
    ( spl28_2
  <=> finite(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl28_2])]) ).

fof(f552,plain,
    ( spl28_1
    | ~ spl28_2 ),
    inference(avatar_contradiction_clause,[],[f551]) ).

fof(f551,plain,
    ( $false
    | spl28_1
    | ~ spl28_2 ),
    inference(subsumption_resolution,[],[f550,f213]) ).

fof(f550,plain,
    ( ~ relation(sK0)
    | spl28_1
    | ~ spl28_2 ),
    inference(subsumption_resolution,[],[f549,f214]) ).

fof(f549,plain,
    ( ~ function(sK0)
    | ~ relation(sK0)
    | spl28_1
    | ~ spl28_2 ),
    inference(subsumption_resolution,[],[f546,f368]) ).

fof(f368,plain,
    ( finite(sK0)
    | ~ spl28_2 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f546,plain,
    ( ~ finite(sK0)
    | ~ function(sK0)
    | ~ relation(sK0)
    | spl28_1 ),
    inference(resolution,[],[f544,f365]) ).

fof(f365,plain,
    ( ~ finite(relation_dom(sK0))
    | spl28_1 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f544,plain,
    ! [X0] :
      ( finite(relation_dom(X0))
      | ~ finite(X0)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(subsumption_resolution,[],[f543,f361]) ).

fof(f361,plain,
    ! [X0,X1] : relation(first_projection_as_func_of(X0,X1)),
    inference(definition_unfolding,[],[f313,f272]) ).

fof(f272,plain,
    ! [X0,X1] : first_projection(X0,X1) = first_projection_as_func_of(X0,X1),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,axiom,
    ! [X0,X1] : first_projection(X0,X1) = first_projection_as_func_of(X0,X1),
    file('/export/starexec/sandbox2/tmp/tmp.sKuVeGUywP/Vampire---4.8_10314',redefinition_k9_funct_3) ).

fof(f313,plain,
    ! [X0,X1] : relation(first_projection(X0,X1)),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( function(first_projection(X0,X1))
      & relation(first_projection(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.sKuVeGUywP/Vampire---4.8_10314',dt_k7_funct_3) ).

fof(f543,plain,
    ! [X0] :
      ( finite(relation_dom(X0))
      | ~ finite(X0)
      | ~ relation(first_projection_as_func_of(relation_dom(X0),relation_rng(X0)))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(subsumption_resolution,[],[f536,f262]) ).

fof(f262,plain,
    ! [X0,X1] : function(first_projection_as_func_of(X0,X1)),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( relation_of2_as_subset(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0)
      & quasi_total(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0)
      & function(first_projection_as_func_of(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.sKuVeGUywP/Vampire---4.8_10314',dt_k9_funct_3) ).

fof(f536,plain,
    ! [X0] :
      ( finite(relation_dom(X0))
      | ~ finite(X0)
      | ~ function(first_projection_as_func_of(relation_dom(X0),relation_rng(X0)))
      | ~ relation(first_projection_as_func_of(relation_dom(X0),relation_rng(X0)))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(superposition,[],[f315,f532]) ).

fof(f532,plain,
    ! [X0] :
      ( relation_dom(X0) = relation_image(first_projection_as_func_of(relation_dom(X0),relation_rng(X0)),X0)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(backward_demodulation,[],[f235,f531]) ).

fof(f531,plain,
    ! [X2,X0,X1] : function_image(cartesian_product2(X0,X1),X0,first_projection_as_func_of(X0,X1),X2) = relation_image(first_projection_as_func_of(X0,X1),X2),
    inference(subsumption_resolution,[],[f530,f264]) ).

fof(f264,plain,
    ! [X0,X1] : relation_of2_as_subset(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0),
    inference(cnf_transformation,[],[f16]) ).

fof(f530,plain,
    ! [X2,X0,X1] :
      ( function_image(cartesian_product2(X0,X1),X0,first_projection_as_func_of(X0,X1),X2) = relation_image(first_projection_as_func_of(X0,X1),X2)
      | ~ relation_of2_as_subset(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0) ),
    inference(resolution,[],[f507,f299]) ).

fof(f299,plain,
    ! [X2,X0,X1] :
      ( relation_of2(X2,X0,X1)
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f192,plain,
    ! [X0,X1,X2] :
      ( ( relation_of2_as_subset(X2,X0,X1)
        | ~ relation_of2(X2,X0,X1) )
      & ( relation_of2(X2,X0,X1)
        | ~ relation_of2_as_subset(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f64,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
    <=> relation_of2(X2,X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.sKuVeGUywP/Vampire---4.8_10314',redefinition_m2_relset_1) ).

fof(f507,plain,
    ! [X2,X0,X1] :
      ( ~ relation_of2(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0)
      | function_image(cartesian_product2(X0,X1),X0,first_projection_as_func_of(X0,X1),X2) = relation_image(first_projection_as_func_of(X0,X1),X2) ),
    inference(subsumption_resolution,[],[f506,f262]) ).

fof(f506,plain,
    ! [X2,X0,X1] :
      ( ~ relation_of2(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0)
      | function_image(cartesian_product2(X0,X1),X0,first_projection_as_func_of(X0,X1),X2) = relation_image(first_projection_as_func_of(X0,X1),X2)
      | ~ function(first_projection_as_func_of(X0,X1)) ),
    inference(resolution,[],[f273,f263]) ).

fof(f263,plain,
    ! [X0,X1] : quasi_total(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0),
    inference(cnf_transformation,[],[f16]) ).

fof(f273,plain,
    ! [X2,X3,X0,X1] :
      ( ~ quasi_total(X2,X0,X1)
      | ~ relation_of2(X2,X0,X1)
      | function_image(X0,X1,X2,X3) = relation_image(X2,X3)
      | ~ function(X2) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0,X1,X2,X3] :
      ( function_image(X0,X1,X2,X3) = relation_image(X2,X3)
      | ~ relation_of2(X2,X0,X1)
      | ~ quasi_total(X2,X0,X1)
      | ~ function(X2) ),
    inference(flattening,[],[f134]) ).

fof(f134,plain,
    ! [X0,X1,X2,X3] :
      ( function_image(X0,X1,X2,X3) = relation_image(X2,X3)
      | ~ relation_of2(X2,X0,X1)
      | ~ quasi_total(X2,X0,X1)
      | ~ function(X2) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,axiom,
    ! [X0,X1,X2,X3] :
      ( ( relation_of2(X2,X0,X1)
        & quasi_total(X2,X0,X1)
        & function(X2) )
     => function_image(X0,X1,X2,X3) = relation_image(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.sKuVeGUywP/Vampire---4.8_10314',redefinition_k2_funct_2) ).

fof(f235,plain,
    ! [X0] :
      ( relation_dom(X0) = function_image(cartesian_product2(relation_dom(X0),relation_rng(X0)),relation_dom(X0),first_projection_as_func_of(relation_dom(X0),relation_rng(X0)),X0)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( relation_dom(X0) = function_image(cartesian_product2(relation_dom(X0),relation_rng(X0)),relation_dom(X0),first_projection_as_func_of(relation_dom(X0),relation_rng(X0)),X0)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( relation_dom(X0) = function_image(cartesian_product2(relation_dom(X0),relation_rng(X0)),relation_dom(X0),first_projection_as_func_of(relation_dom(X0),relation_rng(X0)),X0)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => relation_dom(X0) = function_image(cartesian_product2(relation_dom(X0),relation_rng(X0)),relation_dom(X0),first_projection_as_func_of(relation_dom(X0),relation_rng(X0)),X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.sKuVeGUywP/Vampire---4.8_10314',t100_funct_3) ).

fof(f315,plain,
    ! [X0,X1] :
      ( finite(relation_image(X1,X0))
      | ~ finite(X0)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( finite(relation_image(X1,X0))
      | ~ finite(X0)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f143]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( finite(relation_image(X1,X0))
      | ~ finite(X0)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ( finite(X0)
       => finite(relation_image(X1,X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.sKuVeGUywP/Vampire---4.8_10314',t17_finset_1) ).

fof(f371,plain,
    ( spl28_1
    | spl28_2 ),
    inference(avatar_split_clause,[],[f215,f367,f363]) ).

fof(f215,plain,
    ( finite(sK0)
    | finite(relation_dom(sK0)) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f370,plain,
    ( ~ spl28_1
    | ~ spl28_2 ),
    inference(avatar_split_clause,[],[f216,f367,f363]) ).

fof(f216,plain,
    ( ~ finite(sK0)
    | ~ finite(relation_dom(sK0)) ),
    inference(cnf_transformation,[],[f156]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem    : SEU098+1 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n025.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
% 0.20/0.36  % CPULimit   : 300
% 0.20/0.36  % WCLimit    : 300
% 0.20/0.36  % DateTime   : Tue Apr 30 16:24:26 EDT 2024
% 0.20/0.36  % CPUTime    : 
% 0.20/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.20/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.sKuVeGUywP/Vampire---4.8_10314
% 0.63/0.80  % (10506)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)
% 0.63/0.80  % (10511)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)
% 0.63/0.80  % (10507)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)
% 0.63/0.80  % (10509)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)
% 0.63/0.80  % (10512)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)
% 0.63/0.80  % (10508)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.80  % (10513)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)
% 0.63/0.80  % (10510)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)
% 0.63/0.80  % (10511)Refutation not found, incomplete strategy% (10511)------------------------------
% 0.63/0.80  % (10511)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (10511)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (10511)Memory used [KB]: 1054
% 0.63/0.80  % (10511)Time elapsed: 0.003 s
% 0.63/0.80  % (10511)Instructions burned: 3 (million)
% 0.63/0.80  % (10511)------------------------------
% 0.63/0.80  % (10511)------------------------------
% 0.63/0.80  % (10506)Refutation not found, incomplete strategy% (10506)------------------------------
% 0.63/0.80  % (10506)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (10513)Refutation not found, incomplete strategy% (10513)------------------------------
% 0.63/0.80  % (10513)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (10513)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (10513)Memory used [KB]: 1055
% 0.63/0.80  % (10513)Time elapsed: 0.003 s
% 0.63/0.80  % (10513)Instructions burned: 3 (million)
% 0.63/0.80  % (10513)------------------------------
% 0.63/0.80  % (10513)------------------------------
% 0.63/0.80  % (10506)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (10506)Memory used [KB]: 1073
% 0.63/0.80  % (10506)Time elapsed: 0.004 s
% 0.63/0.80  % (10506)Instructions burned: 4 (million)
% 0.63/0.80  % (10506)------------------------------
% 0.63/0.80  % (10506)------------------------------
% 0.63/0.80  % (10510)Refutation not found, incomplete strategy% (10510)------------------------------
% 0.63/0.80  % (10510)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (10510)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (10510)Memory used [KB]: 1161
% 0.63/0.80  % (10510)Time elapsed: 0.006 s
% 0.63/0.80  % (10510)Instructions burned: 7 (million)
% 0.63/0.80  % (10510)------------------------------
% 0.63/0.80  % (10510)------------------------------
% 0.63/0.81  % (10515)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)
% 0.63/0.81  % (10514)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)
% 0.63/0.81  % (10516)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)
% 0.63/0.81  % (10516)Refutation not found, incomplete strategy% (10516)------------------------------
% 0.63/0.81  % (10516)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  % (10516)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81  
% 0.63/0.81  % (10516)Memory used [KB]: 1074
% 0.63/0.81  % (10516)Time elapsed: 0.004 s
% 0.63/0.81  % (10516)Instructions burned: 4 (million)
% 0.63/0.81  % (10516)------------------------------
% 0.63/0.81  % (10516)------------------------------
% 0.63/0.81  % (10517)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)
% 0.63/0.81  % (10508)First to succeed.
% 0.63/0.81  % (10520)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)
% 0.63/0.81  % (10508)Refutation found. Thanks to Tanya!
% 0.63/0.81  % SZS status Theorem for Vampire---4
% 0.63/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.82  % (10508)------------------------------
% 0.63/0.82  % (10508)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82  % (10508)Termination reason: Refutation
% 0.63/0.82  
% 0.63/0.82  % (10508)Memory used [KB]: 1246
% 0.63/0.82  % (10508)Time elapsed: 0.015 s
% 0.63/0.82  % (10508)Instructions burned: 19 (million)
% 0.63/0.82  % (10508)------------------------------
% 0.63/0.82  % (10508)------------------------------
% 0.63/0.82  % (10480)Success in time 0.443 s
% 0.63/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------