TSTP Solution File: SEU290+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU290+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n017.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 : Thu Aug 31 17:57:38 EDT 2023

% Result   : Theorem 0.24s 0.46s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   73 (  14 unt;   0 def)
%            Number of atoms       :  286 (  83 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  329 ( 116   ~; 114   |;  66   &)
%                                         (  17 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   5 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   7 con; 0-3 aty)
%            Number of variables   :  135 (; 109   !;  26   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f611,plain,
    $false,
    inference(avatar_sat_refutation,[],[f551,f554,f596,f604,f609]) ).

fof(f609,plain,
    ~ spl26_8,
    inference(avatar_contradiction_clause,[],[f608]) ).

fof(f608,plain,
    ( $false
    | ~ spl26_8 ),
    inference(subsumption_resolution,[],[f607,f238]) ).

fof(f238,plain,
    ~ in(sF24,sF25),
    inference(definition_folding,[],[f148,f237,f236]) ).

fof(f236,plain,
    apply(sK3,sK2) = sF24,
    introduced(function_definition,[]) ).

fof(f237,plain,
    relation_rng(sK3) = sF25,
    introduced(function_definition,[]) ).

fof(f148,plain,
    ~ in(apply(sK3,sK2),relation_rng(sK3)),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ( ~ in(apply(sK3,sK2),relation_rng(sK3))
    & empty_set != sK1
    & in(sK2,sK0)
    & relation_of2_as_subset(sK3,sK0,sK1)
    & quasi_total(sK3,sK0,sK1)
    & function(sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f66,f99]) ).

fof(f99,plain,
    ( ? [X0,X1,X2,X3] :
        ( ~ in(apply(X3,X2),relation_rng(X3))
        & empty_set != X1
        & in(X2,X0)
        & relation_of2_as_subset(X3,X0,X1)
        & quasi_total(X3,X0,X1)
        & function(X3) )
   => ( ~ in(apply(sK3,sK2),relation_rng(sK3))
      & empty_set != sK1
      & in(sK2,sK0)
      & relation_of2_as_subset(sK3,sK0,sK1)
      & quasi_total(sK3,sK0,sK1)
      & function(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f66,plain,
    ? [X0,X1,X2,X3] :
      ( ~ in(apply(X3,X2),relation_rng(X3))
      & empty_set != X1
      & in(X2,X0)
      & relation_of2_as_subset(X3,X0,X1)
      & quasi_total(X3,X0,X1)
      & function(X3) ),
    inference(flattening,[],[f65]) ).

fof(f65,plain,
    ? [X0,X1,X2,X3] :
      ( ~ in(apply(X3,X2),relation_rng(X3))
      & empty_set != X1
      & in(X2,X0)
      & relation_of2_as_subset(X3,X0,X1)
      & quasi_total(X3,X0,X1)
      & function(X3) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( relation_of2_as_subset(X3,X0,X1)
          & quasi_total(X3,X0,X1)
          & function(X3) )
       => ( in(X2,X0)
         => ( in(apply(X3,X2),relation_rng(X3))
            | empty_set = X1 ) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( relation_of2_as_subset(X3,X0,X1)
        & quasi_total(X3,X0,X1)
        & function(X3) )
     => ( in(X2,X0)
       => ( in(apply(X3,X2),relation_rng(X3))
          | empty_set = X1 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Qyk8OTjQyU/Vampire---4.8_13803',t6_funct_2) ).

fof(f607,plain,
    ( in(sF24,sF25)
    | ~ spl26_8 ),
    inference(forward_demodulation,[],[f605,f236]) ).

fof(f605,plain,
    ( in(apply(sK3,sK2),sF25)
    | ~ spl26_8 ),
    inference(resolution,[],[f595,f146]) ).

fof(f146,plain,
    in(sK2,sK0),
    inference(cnf_transformation,[],[f100]) ).

fof(f595,plain,
    ( ! [X0] :
        ( ~ in(X0,sK0)
        | in(apply(sK3,X0),sF25) )
    | ~ spl26_8 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f594,plain,
    ( spl26_8
  <=> ! [X0] :
        ( in(apply(sK3,X0),sF25)
        | ~ in(X0,sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_8])]) ).

fof(f604,plain,
    spl26_7,
    inference(avatar_contradiction_clause,[],[f602]) ).

fof(f602,plain,
    ( $false
    | spl26_7 ),
    inference(resolution,[],[f599,f145]) ).

fof(f145,plain,
    relation_of2_as_subset(sK3,sK0,sK1),
    inference(cnf_transformation,[],[f100]) ).

fof(f599,plain,
    ( ! [X0,X1] : ~ relation_of2_as_subset(sK3,X0,X1)
    | spl26_7 ),
    inference(resolution,[],[f597,f194]) ).

fof(f194,plain,
    ! [X2,X0,X1] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1,X2] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
     => element(X2,powerset(cartesian_product2(X0,X1))) ),
    file('/export/starexec/sandbox2/tmp/tmp.Qyk8OTjQyU/Vampire---4.8_13803',dt_m2_relset_1) ).

fof(f597,plain,
    ( ! [X0,X1] : ~ element(sK3,powerset(cartesian_product2(X0,X1)))
    | spl26_7 ),
    inference(resolution,[],[f592,f203]) ).

fof(f203,plain,
    ! [X2,X0,X1] :
      ( relation(X2)
      | ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1,X2] :
      ( relation(X2)
      | ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
     => relation(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.Qyk8OTjQyU/Vampire---4.8_13803',cc1_relset_1) ).

fof(f592,plain,
    ( ~ relation(sK3)
    | spl26_7 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f590,plain,
    ( spl26_7
  <=> relation(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).

fof(f596,plain,
    ( ~ spl26_7
    | spl26_8
    | ~ spl26_6 ),
    inference(avatar_split_clause,[],[f566,f548,f594,f590]) ).

fof(f548,plain,
    ( spl26_6
  <=> sK0 = relation_dom(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_6])]) ).

fof(f566,plain,
    ( ! [X0] :
        ( in(apply(sK3,X0),sF25)
        | ~ in(X0,sK0)
        | ~ relation(sK3) )
    | ~ spl26_6 ),
    inference(forward_demodulation,[],[f565,f237]) ).

fof(f565,plain,
    ( ! [X0] :
        ( ~ in(X0,sK0)
        | in(apply(sK3,X0),relation_rng(sK3))
        | ~ relation(sK3) )
    | ~ spl26_6 ),
    inference(subsumption_resolution,[],[f559,f143]) ).

fof(f143,plain,
    function(sK3),
    inference(cnf_transformation,[],[f100]) ).

fof(f559,plain,
    ( ! [X0] :
        ( ~ in(X0,sK0)
        | in(apply(sK3,X0),relation_rng(sK3))
        | ~ function(sK3)
        | ~ relation(sK3) )
    | ~ spl26_6 ),
    inference(superposition,[],[f228,f550]) ).

fof(f550,plain,
    ( sK0 = relation_dom(sK3)
    | ~ spl26_6 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f228,plain,
    ! [X0,X6] :
      ( ~ in(X6,relation_dom(X0))
      | in(apply(X0,X6),relation_rng(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f227]) ).

fof(f227,plain,
    ! [X0,X1,X6] :
      ( in(apply(X0,X6),X1)
      | ~ in(X6,relation_dom(X0))
      | relation_rng(X0) != X1
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f168]) ).

fof(f168,plain,
    ! [X0,X1,X6,X5] :
      ( in(X5,X1)
      | apply(X0,X6) != X5
      | ~ in(X6,relation_dom(X0))
      | relation_rng(X0) != X1
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ( ( ! [X3] :
                    ( apply(X0,X3) != sK5(X0,X1)
                    | ~ in(X3,relation_dom(X0)) )
                | ~ in(sK5(X0,X1),X1) )
              & ( ( sK5(X0,X1) = apply(X0,sK6(X0,X1))
                  & in(sK6(X0,X1),relation_dom(X0)) )
                | in(sK5(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] :
                      ( apply(X0,X6) != X5
                      | ~ in(X6,relation_dom(X0)) ) )
                & ( ( apply(X0,sK7(X0,X5)) = X5
                    & in(sK7(X0,X5),relation_dom(X0)) )
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f104,f107,f106,f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] :
                ( apply(X0,X3) != X2
                | ~ in(X3,relation_dom(X0)) )
            | ~ in(X2,X1) )
          & ( ? [X4] :
                ( apply(X0,X4) = X2
                & in(X4,relation_dom(X0)) )
            | in(X2,X1) ) )
     => ( ( ! [X3] :
              ( apply(X0,X3) != sK5(X0,X1)
              | ~ in(X3,relation_dom(X0)) )
          | ~ in(sK5(X0,X1),X1) )
        & ( ? [X4] :
              ( apply(X0,X4) = sK5(X0,X1)
              & in(X4,relation_dom(X0)) )
          | in(sK5(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( apply(X0,X4) = sK5(X0,X1)
          & in(X4,relation_dom(X0)) )
     => ( sK5(X0,X1) = apply(X0,sK6(X0,X1))
        & in(sK6(X0,X1),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f107,plain,
    ! [X0,X5] :
      ( ? [X7] :
          ( apply(X0,X7) = X5
          & in(X7,relation_dom(X0)) )
     => ( apply(X0,sK7(X0,X5)) = X5
        & in(sK7(X0,X5),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f104,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] :
                      ( apply(X0,X3) != X2
                      | ~ in(X3,relation_dom(X0)) )
                  | ~ in(X2,X1) )
                & ( ? [X4] :
                      ( apply(X0,X4) = X2
                      & in(X4,relation_dom(X0)) )
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] :
                      ( apply(X0,X6) != X5
                      | ~ in(X6,relation_dom(X0)) ) )
                & ( ? [X7] :
                      ( apply(X0,X7) = X5
                      & in(X7,relation_dom(X0)) )
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(rectify,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] :
                      ( apply(X0,X3) != X2
                      | ~ in(X3,relation_dom(X0)) )
                  | ~ in(X2,X1) )
                & ( ? [X3] :
                      ( apply(X0,X3) = X2
                      & in(X3,relation_dom(X0)) )
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] :
                      ( apply(X0,X3) != X2
                      | ~ in(X3,relation_dom(X0)) ) )
                & ( ? [X3] :
                      ( apply(X0,X3) = X2
                      & in(X3,relation_dom(X0)) )
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( apply(X0,X3) = X2
                  & in(X3,relation_dom(X0)) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( apply(X0,X3) = X2
                  & in(X3,relation_dom(X0)) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( apply(X0,X3) = X2
                  & in(X3,relation_dom(X0)) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Qyk8OTjQyU/Vampire---4.8_13803',d5_funct_1) ).

fof(f554,plain,
    spl26_5,
    inference(avatar_contradiction_clause,[],[f553]) ).

fof(f553,plain,
    ( $false
    | spl26_5 ),
    inference(subsumption_resolution,[],[f552,f145]) ).

fof(f552,plain,
    ( ~ relation_of2_as_subset(sK3,sK0,sK1)
    | spl26_5 ),
    inference(resolution,[],[f546,f205]) ).

fof(f205,plain,
    ! [X2,X0,X1] :
      ( relation_of2(X2,X0,X1)
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,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,[],[f45]) ).

fof(f45,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
    <=> relation_of2(X2,X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.Qyk8OTjQyU/Vampire---4.8_13803',redefinition_m2_relset_1) ).

fof(f546,plain,
    ( ~ relation_of2(sK3,sK0,sK1)
    | spl26_5 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f544,plain,
    ( spl26_5
  <=> relation_of2(sK3,sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_5])]) ).

fof(f551,plain,
    ( ~ spl26_5
    | spl26_6 ),
    inference(avatar_split_clause,[],[f540,f548,f544]) ).

fof(f540,plain,
    ( sK0 = relation_dom(sK3)
    | ~ relation_of2(sK3,sK0,sK1) ),
    inference(superposition,[],[f539,f201]) ).

fof(f201,plain,
    ! [X2,X0,X1] :
      ( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
      | ~ relation_of2(X2,X0,X1) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1,X2] :
      ( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
      | ~ relation_of2(X2,X0,X1) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,axiom,
    ! [X0,X1,X2] :
      ( relation_of2(X2,X0,X1)
     => relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.Qyk8OTjQyU/Vampire---4.8_13803',redefinition_k4_relset_1) ).

fof(f539,plain,
    sK0 = relation_dom_as_subset(sK0,sK1,sK3),
    inference(subsumption_resolution,[],[f538,f145]) ).

fof(f538,plain,
    ( sK0 = relation_dom_as_subset(sK0,sK1,sK3)
    | ~ relation_of2_as_subset(sK3,sK0,sK1) ),
    inference(subsumption_resolution,[],[f534,f147]) ).

fof(f147,plain,
    empty_set != sK1,
    inference(cnf_transformation,[],[f100]) ).

fof(f534,plain,
    ( sK0 = relation_dom_as_subset(sK0,sK1,sK3)
    | empty_set = sK1
    | ~ relation_of2_as_subset(sK3,sK0,sK1) ),
    inference(resolution,[],[f195,f144]) ).

fof(f144,plain,
    quasi_total(sK3,sK0,sK1),
    inference(cnf_transformation,[],[f100]) ).

fof(f195,plain,
    ! [X2,X0,X1] :
      ( ~ quasi_total(X2,X0,X1)
      | relation_dom_as_subset(X0,X1,X2) = X0
      | empty_set = X1
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0,X1,X2] :
      ( ( ( ( ( quasi_total(X2,X0,X1)
              | empty_set != X2 )
            & ( empty_set = X2
              | ~ quasi_total(X2,X0,X1) ) )
          | empty_set = X0
          | empty_set != X1 )
        & ( ( ( quasi_total(X2,X0,X1)
              | relation_dom_as_subset(X0,X1,X2) != X0 )
            & ( relation_dom_as_subset(X0,X1,X2) = X0
              | ~ quasi_total(X2,X0,X1) ) )
          | ( empty_set != X0
            & empty_set = X1 ) ) )
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(nnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1,X2] :
      ( ( ( ( quasi_total(X2,X0,X1)
          <=> empty_set = X2 )
          | empty_set = X0
          | empty_set != X1 )
        & ( ( quasi_total(X2,X0,X1)
          <=> relation_dom_as_subset(X0,X1,X2) = X0 )
          | ( empty_set != X0
            & empty_set = X1 ) ) )
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(flattening,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1,X2] :
      ( ( ( ( quasi_total(X2,X0,X1)
          <=> empty_set = X2 )
          | empty_set = X0
          | empty_set != X1 )
        & ( ( quasi_total(X2,X0,X1)
          <=> relation_dom_as_subset(X0,X1,X2) = X0 )
          | ( empty_set != X0
            & empty_set = X1 ) ) )
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
     => ( ( empty_set = X1
         => ( ( quasi_total(X2,X0,X1)
            <=> empty_set = X2 )
            | empty_set = X0 ) )
        & ( ( empty_set = X1
           => empty_set = X0 )
         => ( quasi_total(X2,X0,X1)
          <=> relation_dom_as_subset(X0,X1,X2) = X0 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Qyk8OTjQyU/Vampire---4.8_13803',d1_funct_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SEU290+1 : TPTP v8.1.2. Released v3.3.0.
% 0.16/0.16  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37  % Computer : n017.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Wed Aug 23 12:41:23 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.38  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.Qyk8OTjQyU/Vampire---4.8_13803
% 0.16/0.38  % (13930)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44  % (13931)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.24/0.44  % (13934)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.24/0.44  % (13933)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.24/0.44  % (13932)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.24/0.44  % (13936)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.24/0.44  % (13937)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.24/0.44  % (13935)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.24/0.46  % (13936)First to succeed.
% 0.24/0.46  % (13936)Refutation found. Thanks to Tanya!
% 0.24/0.46  % SZS status Theorem for Vampire---4
% 0.24/0.46  % SZS output start Proof for Vampire---4
% See solution above
% 0.24/0.46  % (13936)------------------------------
% 0.24/0.46  % (13936)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.46  % (13936)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.46  % (13936)Termination reason: Refutation
% 0.24/0.46  
% 0.24/0.46  % (13936)Memory used [KB]: 5756
% 0.24/0.46  % (13936)Time elapsed: 0.020 s
% 0.24/0.46  % (13936)------------------------------
% 0.24/0.46  % (13936)------------------------------
% 0.24/0.46  % (13930)Success in time 0.081 s
% 0.24/0.46  % Vampire---4.8 exiting
%------------------------------------------------------------------------------