TSTP Solution File: SEU180+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU180+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 : n013.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 09:20:47 EDT 2024

% Result   : Theorem 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   62 (   7 unt;   0 def)
%            Number of atoms       :  277 (  32 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  340 ( 125   ~; 130   |;  58   &)
%                                         (  12 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   3 con; 0-3 aty)
%            Number of variables   :  157 ( 118   !;  39   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f156,plain,
    $false,
    inference(avatar_sat_refutation,[],[f122,f138,f155]) ).

fof(f155,plain,
    spl13_2,
    inference(avatar_contradiction_clause,[],[f154]) ).

fof(f154,plain,
    ( $false
    | spl13_2 ),
    inference(subsumption_resolution,[],[f153,f129]) ).

fof(f129,plain,
    in(sK1,relation_rng(sK2)),
    inference(subsumption_resolution,[],[f125,f76]) ).

fof(f76,plain,
    relation(sK2),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( ( ~ in(sK1,relation_field(sK2))
      | ~ in(sK0,relation_field(sK2)) )
    & in(ordered_pair(sK0,sK1),sK2)
    & relation(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f40,f51]) ).

fof(f51,plain,
    ( ? [X0,X1,X2] :
        ( ( ~ in(X1,relation_field(X2))
          | ~ in(X0,relation_field(X2)) )
        & in(ordered_pair(X0,X1),X2)
        & relation(X2) )
   => ( ( ~ in(sK1,relation_field(sK2))
        | ~ in(sK0,relation_field(sK2)) )
      & in(ordered_pair(sK0,sK1),sK2)
      & relation(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ? [X0,X1,X2] :
      ( ( ~ in(X1,relation_field(X2))
        | ~ in(X0,relation_field(X2)) )
      & in(ordered_pair(X0,X1),X2)
      & relation(X2) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ? [X0,X1,X2] :
      ( ( ~ in(X1,relation_field(X2))
        | ~ in(X0,relation_field(X2)) )
      & in(ordered_pair(X0,X1),X2)
      & relation(X2) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( relation(X2)
       => ( in(ordered_pair(X0,X1),X2)
         => ( in(X1,relation_field(X2))
            & in(X0,relation_field(X2)) ) ) ),
    inference(negated_conjecture,[],[f33]) ).

fof(f33,conjecture,
    ! [X0,X1,X2] :
      ( relation(X2)
     => ( in(ordered_pair(X0,X1),X2)
       => ( in(X1,relation_field(X2))
          & in(X0,relation_field(X2)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.QEMwoZQJX2/Vampire---4.8_19620',t30_relat_1) ).

fof(f125,plain,
    ( in(sK1,relation_rng(sK2))
    | ~ relation(sK2) ),
    inference(resolution,[],[f77,f112]) ).

fof(f112,plain,
    ! [X0,X6,X5] :
      ( ~ in(ordered_pair(X6,X5),X0)
      | in(X5,relation_rng(X0))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1,X6,X5] :
      ( in(X5,X1)
      | ~ in(ordered_pair(X6,X5),X0)
      | relation_rng(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ( ( ! [X3] : ~ in(ordered_pair(X3,sK10(X0,X1)),X0)
                | ~ in(sK10(X0,X1),X1) )
              & ( in(ordered_pair(sK11(X0,X1),sK10(X0,X1)),X0)
                | in(sK10(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( in(ordered_pair(sK12(X0,X5),X5),X0)
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f71,f74,f73,f72]) ).

fof(f72,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,sK10(X0,X1)),X0)
          | ~ in(sK10(X0,X1),X1) )
        & ( ? [X4] : in(ordered_pair(X4,sK10(X0,X1)),X0)
          | in(sK10(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ? [X4] : in(ordered_pair(X4,sK10(X0,X1)),X0)
     => in(ordered_pair(sK11(X0,X1),sK10(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f74,plain,
    ! [X0,X5] :
      ( ? [X7] : in(ordered_pair(X7,X5),X0)
     => in(ordered_pair(sK12(X0,X5),X5),X0) ),
    introduced(choice_axiom,[]) ).

fof(f71,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,[],[f70]) ).

fof(f70,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,[],[f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,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.QEMwoZQJX2/Vampire---4.8_19620',d5_relat_1) ).

fof(f77,plain,
    in(ordered_pair(sK0,sK1),sK2),
    inference(cnf_transformation,[],[f52]) ).

fof(f153,plain,
    ( ~ in(sK1,relation_rng(sK2))
    | spl13_2 ),
    inference(resolution,[],[f146,f107]) ).

fof(f107,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_union2(X0,X1))
      | ~ in(X4,X1) ),
    inference(equality_resolution,[],[f82]) ).

fof(f82,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(X4,X1)
      | set_union2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ( ( ( ~ in(sK3(X0,X1,X2),X1)
              & ~ in(sK3(X0,X1,X2),X0) )
            | ~ in(sK3(X0,X1,X2),X2) )
          & ( in(sK3(X0,X1,X2),X1)
            | in(sK3(X0,X1,X2),X0)
            | in(sK3(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ( ~ in(X4,X1)
                & ~ in(X4,X0) ) )
            & ( in(X4,X1)
              | in(X4,X0)
              | ~ in(X4,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f55,f56]) ).

fof(f56,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ( ~ in(X3,X1)
              & ~ in(X3,X0) )
            | ~ in(X3,X2) )
          & ( in(X3,X1)
            | in(X3,X0)
            | in(X3,X2) ) )
     => ( ( ( ~ in(sK3(X0,X1,X2),X1)
            & ~ in(sK3(X0,X1,X2),X0) )
          | ~ in(sK3(X0,X1,X2),X2) )
        & ( in(sK3(X0,X1,X2),X1)
          | in(sK3(X0,X1,X2),X0)
          | in(sK3(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ( ~ in(X4,X1)
                & ~ in(X4,X0) ) )
            & ( in(X4,X1)
              | in(X4,X0)
              | ~ in(X4,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(rectify,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X0)
              | ~ in(X3,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(flattening,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X0)
              | ~ in(X3,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( set_union2(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            | in(X3,X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.QEMwoZQJX2/Vampire---4.8_19620',d2_xboole_0) ).

fof(f146,plain,
    ( ~ in(sK1,set_union2(relation_dom(sK2),relation_rng(sK2)))
    | spl13_2 ),
    inference(subsumption_resolution,[],[f145,f76]) ).

fof(f145,plain,
    ( ~ in(sK1,set_union2(relation_dom(sK2),relation_rng(sK2)))
    | ~ relation(sK2)
    | spl13_2 ),
    inference(superposition,[],[f121,f91]) ).

fof(f91,plain,
    ! [X0] :
      ( relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0))
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( relation(X0)
     => relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.QEMwoZQJX2/Vampire---4.8_19620',d6_relat_1) ).

fof(f121,plain,
    ( ~ in(sK1,relation_field(sK2))
    | spl13_2 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f119,plain,
    ( spl13_2
  <=> in(sK1,relation_field(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

fof(f138,plain,
    spl13_1,
    inference(avatar_contradiction_clause,[],[f137]) ).

fof(f137,plain,
    ( $false
    | spl13_1 ),
    inference(subsumption_resolution,[],[f135,f130]) ).

fof(f130,plain,
    in(sK0,relation_dom(sK2)),
    inference(subsumption_resolution,[],[f126,f76]) ).

fof(f126,plain,
    ( in(sK0,relation_dom(sK2))
    | ~ relation(sK2) ),
    inference(resolution,[],[f77,f110]) ).

fof(f110,plain,
    ! [X0,X6,X5] :
      ( ~ in(ordered_pair(X5,X6),X0)
      | in(X5,relation_dom(X0))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1,X6,X5] :
      ( in(X5,X1)
      | ~ in(ordered_pair(X5,X6),X0)
      | relation_dom(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_dom(X0) = X1
            | ( ( ! [X3] : ~ in(ordered_pair(sK7(X0,X1),X3),X0)
                | ~ in(sK7(X0,X1),X1) )
              & ( in(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X0)
                | in(sK7(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
                & ( in(ordered_pair(X5,sK9(X0,X5)),X0)
                  | ~ in(X5,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f65,f68,f67,f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
            | ~ in(X2,X1) )
          & ( ? [X4] : in(ordered_pair(X2,X4),X0)
            | in(X2,X1) ) )
     => ( ( ! [X3] : ~ in(ordered_pair(sK7(X0,X1),X3),X0)
          | ~ in(sK7(X0,X1),X1) )
        & ( ? [X4] : in(ordered_pair(sK7(X0,X1),X4),X0)
          | in(sK7(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ? [X4] : in(ordered_pair(sK7(X0,X1),X4),X0)
     => in(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f68,plain,
    ! [X0,X5] :
      ( ? [X7] : in(ordered_pair(X5,X7),X0)
     => in(ordered_pair(X5,sK9(X0,X5)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f65,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_dom(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( ? [X4] : in(ordered_pair(X2,X4),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
                & ( ? [X7] : in(ordered_pair(X5,X7),X0)
                  | ~ in(X5,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_dom(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
                & ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.QEMwoZQJX2/Vampire---4.8_19620',d4_relat_1) ).

fof(f135,plain,
    ( ~ in(sK0,relation_dom(sK2))
    | spl13_1 ),
    inference(resolution,[],[f124,f108]) ).

fof(f108,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_union2(X0,X1))
      | ~ in(X4,X0) ),
    inference(equality_resolution,[],[f81]) ).

fof(f81,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(X4,X0)
      | set_union2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f124,plain,
    ( ~ in(sK0,set_union2(relation_dom(sK2),relation_rng(sK2)))
    | spl13_1 ),
    inference(subsumption_resolution,[],[f123,f76]) ).

fof(f123,plain,
    ( ~ in(sK0,set_union2(relation_dom(sK2),relation_rng(sK2)))
    | ~ relation(sK2)
    | spl13_1 ),
    inference(superposition,[],[f117,f91]) ).

fof(f117,plain,
    ( ~ in(sK0,relation_field(sK2))
    | spl13_1 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl13_1
  <=> in(sK0,relation_field(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).

fof(f122,plain,
    ( ~ spl13_1
    | ~ spl13_2 ),
    inference(avatar_split_clause,[],[f78,f119,f115]) ).

fof(f78,plain,
    ( ~ in(sK1,relation_field(sK2))
    | ~ in(sK0,relation_field(sK2)) ),
    inference(cnf_transformation,[],[f52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU180+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14  % 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
% 0.15/0.35  % Computer : n013.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 11:01:34 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35  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.QEMwoZQJX2/Vampire---4.8_19620
% 0.56/0.74  % (20031)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)
% 0.56/0.74  % (20024)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)
% 0.56/0.74  % (20027)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)
% 0.56/0.74  % (20026)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74  % (20025)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)
% 0.56/0.74  % (20028)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)
% 0.56/0.74  % (20029)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)
% 0.56/0.74  % (20030)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)
% 0.56/0.74  % (20029)First to succeed.
% 0.56/0.74  % (20028)Refutation not found, incomplete strategy% (20028)------------------------------
% 0.56/0.74  % (20028)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (20028)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (20028)Memory used [KB]: 1061
% 0.56/0.74  % (20028)Time elapsed: 0.005 s
% 0.56/0.74  % (20028)Instructions burned: 5 (million)
% 0.56/0.74  % (20028)------------------------------
% 0.56/0.74  % (20028)------------------------------
% 0.56/0.74  % (20029)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19862"
% 0.56/0.74  % (20029)Refutation found. Thanks to Tanya!
% 0.56/0.74  % SZS status Theorem for Vampire---4
% 0.56/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.74  % (20029)------------------------------
% 0.56/0.74  % (20029)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (20029)Termination reason: Refutation
% 0.56/0.74  
% 0.56/0.74  % (20029)Memory used [KB]: 1070
% 0.56/0.74  % (20029)Time elapsed: 0.006 s
% 0.56/0.74  % (20029)Instructions burned: 7 (million)
% 0.56/0.74  % (19862)Success in time 0.378 s
% 0.56/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------