TSTP Solution File: SET951+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET951+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n008.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 09:09:08 EDT 2024

% Result   : Theorem 1.07s 0.88s
% Output   : Refutation 1.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  114 (  10 unt;   0 def)
%            Number of atoms       :  421 (  76 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  507 ( 200   ~; 198   |;  79   &)
%                                         (  24 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  15 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   5 con; 0-3 aty)
%            Number of variables   :  225 ( 188   !;  37   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f449,plain,
    $false,
    inference(avatar_sat_refutation,[],[f72,f77,f107,f122,f283,f288,f313,f350,f370,f380,f410,f417,f438,f439,f448]) ).

fof(f448,plain,
    ( ~ spl14_4
    | spl14_13 ),
    inference(avatar_contradiction_clause,[],[f447]) ).

fof(f447,plain,
    ( $false
    | ~ spl14_4
    | spl14_13 ),
    inference(subsumption_resolution,[],[f446,f106]) ).

fof(f106,plain,
    ( in(sK2,cartesian_product2(sK3,sK4))
    | ~ spl14_4 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f104,plain,
    ( spl14_4
  <=> in(sK2,cartesian_product2(sK3,sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).

fof(f446,plain,
    ( ~ in(sK2,cartesian_product2(sK3,sK4))
    | spl14_13 ),
    inference(resolution,[],[f312,f156]) ).

fof(f156,plain,
    ! [X2,X0,X1] :
      ( in(sK12(X2,X1,X0),X2)
      | ~ in(X0,cartesian_product2(X1,X2)) ),
    inference(resolution,[],[f53,f67]) ).

fof(f67,plain,
    ! [X0,X1] : sP1(X1,X0,cartesian_product2(X0,X1)),
    inference(equality_resolution,[],[f60]) ).

fof(f60,plain,
    ! [X2,X0,X1] :
      ( sP1(X1,X0,X2)
      | cartesian_product2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( ( cartesian_product2(X0,X1) = X2
        | ~ sP1(X1,X0,X2) )
      & ( sP1(X1,X0,X2)
        | cartesian_product2(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( cartesian_product2(X0,X1) = X2
    <=> sP1(X1,X0,X2) ),
    inference(definition_folding,[],[f4,f21]) ).

fof(f21,plain,
    ! [X1,X0,X2] :
      ( sP1(X1,X0,X2)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ? [X4,X5] :
              ( ordered_pair(X4,X5) = X3
              & in(X5,X1)
              & in(X4,X0) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( cartesian_product2(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ? [X4,X5] :
              ( ordered_pair(X4,X5) = X3
              & in(X5,X1)
              & in(X4,X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.A5pzqqb53w/Vampire---4.8_3774',d2_zfmisc_1) ).

fof(f53,plain,
    ! [X2,X0,X1,X8] :
      ( ~ sP1(X0,X1,X2)
      | ~ in(X8,X2)
      | in(sK12(X0,X1,X8),X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( ( sP1(X0,X1,X2)
        | ( ( ! [X4,X5] :
                ( ordered_pair(X4,X5) != sK8(X0,X1,X2)
                | ~ in(X5,X0)
                | ~ in(X4,X1) )
            | ~ in(sK8(X0,X1,X2),X2) )
          & ( ( sK8(X0,X1,X2) = ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2))
              & in(sK10(X0,X1,X2),X0)
              & in(sK9(X0,X1,X2),X1) )
            | in(sK8(X0,X1,X2),X2) ) ) )
      & ( ! [X8] :
            ( ( in(X8,X2)
              | ! [X9,X10] :
                  ( ordered_pair(X9,X10) != X8
                  | ~ in(X10,X0)
                  | ~ in(X9,X1) ) )
            & ( ( ordered_pair(sK11(X0,X1,X8),sK12(X0,X1,X8)) = X8
                & in(sK12(X0,X1,X8),X0)
                & in(sK11(X0,X1,X8),X1) )
              | ~ in(X8,X2) ) )
        | ~ sP1(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12])],[f32,f35,f34,f33]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ! [X4,X5] :
                ( ordered_pair(X4,X5) != X3
                | ~ in(X5,X0)
                | ~ in(X4,X1) )
            | ~ in(X3,X2) )
          & ( ? [X6,X7] :
                ( ordered_pair(X6,X7) = X3
                & in(X7,X0)
                & in(X6,X1) )
            | in(X3,X2) ) )
     => ( ( ! [X5,X4] :
              ( ordered_pair(X4,X5) != sK8(X0,X1,X2)
              | ~ in(X5,X0)
              | ~ in(X4,X1) )
          | ~ in(sK8(X0,X1,X2),X2) )
        & ( ? [X7,X6] :
              ( ordered_pair(X6,X7) = sK8(X0,X1,X2)
              & in(X7,X0)
              & in(X6,X1) )
          | in(sK8(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( ? [X7,X6] :
          ( ordered_pair(X6,X7) = sK8(X0,X1,X2)
          & in(X7,X0)
          & in(X6,X1) )
     => ( sK8(X0,X1,X2) = ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2))
        & in(sK10(X0,X1,X2),X0)
        & in(sK9(X0,X1,X2),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ! [X0,X1,X8] :
      ( ? [X11,X12] :
          ( ordered_pair(X11,X12) = X8
          & in(X12,X0)
          & in(X11,X1) )
     => ( ordered_pair(sK11(X0,X1,X8),sK12(X0,X1,X8)) = X8
        & in(sK12(X0,X1,X8),X0)
        & in(sK11(X0,X1,X8),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( ( sP1(X0,X1,X2)
        | ? [X3] :
            ( ( ! [X4,X5] :
                  ( ordered_pair(X4,X5) != X3
                  | ~ in(X5,X0)
                  | ~ in(X4,X1) )
              | ~ in(X3,X2) )
            & ( ? [X6,X7] :
                  ( ordered_pair(X6,X7) = X3
                  & in(X7,X0)
                  & in(X6,X1) )
              | in(X3,X2) ) ) )
      & ( ! [X8] :
            ( ( in(X8,X2)
              | ! [X9,X10] :
                  ( ordered_pair(X9,X10) != X8
                  | ~ in(X10,X0)
                  | ~ in(X9,X1) ) )
            & ( ? [X11,X12] :
                  ( ordered_pair(X11,X12) = X8
                  & in(X12,X0)
                  & in(X11,X1) )
              | ~ in(X8,X2) ) )
        | ~ sP1(X0,X1,X2) ) ),
    inference(rectify,[],[f31]) ).

fof(f31,plain,
    ! [X1,X0,X2] :
      ( ( sP1(X1,X0,X2)
        | ? [X3] :
            ( ( ! [X4,X5] :
                  ( ordered_pair(X4,X5) != X3
                  | ~ in(X5,X1)
                  | ~ in(X4,X0) )
              | ~ in(X3,X2) )
            & ( ? [X4,X5] :
                  ( ordered_pair(X4,X5) = X3
                  & in(X5,X1)
                  & in(X4,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ! [X4,X5] :
                  ( ordered_pair(X4,X5) != X3
                  | ~ in(X5,X1)
                  | ~ in(X4,X0) ) )
            & ( ? [X4,X5] :
                  ( ordered_pair(X4,X5) = X3
                  & in(X5,X1)
                  & in(X4,X0) )
              | ~ in(X3,X2) ) )
        | ~ sP1(X1,X0,X2) ) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f312,plain,
    ( ~ in(sK12(sK4,sK3,sK2),sK4)
    | spl14_13 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f310,plain,
    ( spl14_13
  <=> in(sK12(sK4,sK3,sK2),sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).

fof(f439,plain,
    ( sK12(sK4,sK3,sK2) != sK12(sK6,sK5,sK2)
    | ~ in(sK12(sK6,sK5,sK2),sK6)
    | in(sK12(sK4,sK3,sK2),sK6) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f438,plain,
    ( spl14_25
    | ~ spl14_8
    | ~ spl14_24 ),
    inference(avatar_split_clause,[],[f433,f407,f280,f435]) ).

fof(f435,plain,
    ( spl14_25
  <=> sK12(sK4,sK3,sK2) = sK12(sK6,sK5,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).

fof(f280,plain,
    ( spl14_8
  <=> sK2 = ordered_pair(sK11(sK4,sK3,sK2),sK12(sK4,sK3,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).

fof(f407,plain,
    ( spl14_24
  <=> sK2 = ordered_pair(sK11(sK4,sK3,sK2),sK12(sK6,sK5,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_24])]) ).

fof(f433,plain,
    ( sK12(sK4,sK3,sK2) = sK12(sK6,sK5,sK2)
    | ~ spl14_8
    | ~ spl14_24 ),
    inference(trivial_inequality_removal,[],[f432]) ).

fof(f432,plain,
    ( sK2 != sK2
    | sK12(sK4,sK3,sK2) = sK12(sK6,sK5,sK2)
    | ~ spl14_8
    | ~ spl14_24 ),
    inference(superposition,[],[f291,f409]) ).

fof(f409,plain,
    ( sK2 = ordered_pair(sK11(sK4,sK3,sK2),sK12(sK6,sK5,sK2))
    | ~ spl14_24 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f291,plain,
    ( ! [X0,X1] :
        ( ordered_pair(X0,X1) != sK2
        | sK12(sK4,sK3,sK2) = X1 )
    | ~ spl14_8 ),
    inference(superposition,[],[f41,f282]) ).

fof(f282,plain,
    ( sK2 = ordered_pair(sK11(sK4,sK3,sK2),sK12(sK4,sK3,sK2))
    | ~ spl14_8 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f41,plain,
    ! [X2,X3,X0,X1] :
      ( ordered_pair(X0,X1) != ordered_pair(X2,X3)
      | X1 = X3 ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1,X2,X3] :
      ( ( X1 = X3
        & X0 = X2 )
      | ordered_pair(X0,X1) != ordered_pair(X2,X3) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1,X2,X3] :
      ( ordered_pair(X0,X1) = ordered_pair(X2,X3)
     => ( X1 = X3
        & X0 = X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.A5pzqqb53w/Vampire---4.8_3774',t33_zfmisc_1) ).

fof(f417,plain,
    ( spl14_10
    | ~ spl14_6
    | ~ spl14_20 ),
    inference(avatar_split_clause,[],[f416,f367,f119,f298]) ).

fof(f298,plain,
    ( spl14_10
  <=> in(sK11(sK4,sK3,sK2),sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).

fof(f119,plain,
    ( spl14_6
  <=> in(sK2,cartesian_product2(sK5,sK6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).

fof(f367,plain,
    ( spl14_20
  <=> sK11(sK4,sK3,sK2) = sK11(sK6,sK5,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_20])]) ).

fof(f416,plain,
    ( in(sK11(sK4,sK3,sK2),sK5)
    | ~ spl14_6
    | ~ spl14_20 ),
    inference(subsumption_resolution,[],[f398,f121]) ).

fof(f121,plain,
    ( in(sK2,cartesian_product2(sK5,sK6))
    | ~ spl14_6 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f398,plain,
    ( in(sK11(sK4,sK3,sK2),sK5)
    | ~ in(sK2,cartesian_product2(sK5,sK6))
    | ~ spl14_20 ),
    inference(superposition,[],[f150,f369]) ).

fof(f369,plain,
    ( sK11(sK4,sK3,sK2) = sK11(sK6,sK5,sK2)
    | ~ spl14_20 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f150,plain,
    ! [X2,X0,X1] :
      ( in(sK11(X2,X1,X0),X1)
      | ~ in(X0,cartesian_product2(X1,X2)) ),
    inference(resolution,[],[f52,f67]) ).

fof(f52,plain,
    ! [X2,X0,X1,X8] :
      ( ~ sP1(X0,X1,X2)
      | ~ in(X8,X2)
      | in(sK11(X0,X1,X8),X1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f410,plain,
    ( spl14_24
    | ~ spl14_9
    | ~ spl14_20 ),
    inference(avatar_split_clause,[],[f396,f367,f285,f407]) ).

fof(f285,plain,
    ( spl14_9
  <=> sK2 = ordered_pair(sK11(sK6,sK5,sK2),sK12(sK6,sK5,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).

fof(f396,plain,
    ( sK2 = ordered_pair(sK11(sK4,sK3,sK2),sK12(sK6,sK5,sK2))
    | ~ spl14_9
    | ~ spl14_20 ),
    inference(backward_demodulation,[],[f287,f369]) ).

fof(f287,plain,
    ( sK2 = ordered_pair(sK11(sK6,sK5,sK2),sK12(sK6,sK5,sK2))
    | ~ spl14_9 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f380,plain,
    ( ~ spl14_6
    | spl14_16 ),
    inference(avatar_contradiction_clause,[],[f379]) ).

fof(f379,plain,
    ( $false
    | ~ spl14_6
    | spl14_16 ),
    inference(subsumption_resolution,[],[f378,f121]) ).

fof(f378,plain,
    ( ~ in(sK2,cartesian_product2(sK5,sK6))
    | spl14_16 ),
    inference(resolution,[],[f333,f156]) ).

fof(f333,plain,
    ( ~ in(sK12(sK6,sK5,sK2),sK6)
    | spl14_16 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f331,plain,
    ( spl14_16
  <=> in(sK12(sK6,sK5,sK2),sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).

fof(f370,plain,
    ( spl14_20
    | ~ spl14_8
    | ~ spl14_9 ),
    inference(avatar_split_clause,[],[f365,f285,f280,f367]) ).

fof(f365,plain,
    ( sK11(sK4,sK3,sK2) = sK11(sK6,sK5,sK2)
    | ~ spl14_8
    | ~ spl14_9 ),
    inference(trivial_inequality_removal,[],[f364]) ).

fof(f364,plain,
    ( sK2 != sK2
    | sK11(sK4,sK3,sK2) = sK11(sK6,sK5,sK2)
    | ~ spl14_8
    | ~ spl14_9 ),
    inference(superposition,[],[f289,f287]) ).

fof(f289,plain,
    ( ! [X0,X1] :
        ( ordered_pair(X0,X1) != sK2
        | sK11(sK4,sK3,sK2) = X0 )
    | ~ spl14_8 ),
    inference(superposition,[],[f40,f282]) ).

fof(f40,plain,
    ! [X2,X3,X0,X1] :
      ( ordered_pair(X0,X1) != ordered_pair(X2,X3)
      | X0 = X2 ),
    inference(cnf_transformation,[],[f17]) ).

fof(f350,plain,
    ( ~ spl14_4
    | spl14_11 ),
    inference(avatar_contradiction_clause,[],[f349]) ).

fof(f349,plain,
    ( $false
    | ~ spl14_4
    | spl14_11 ),
    inference(subsumption_resolution,[],[f348,f106]) ).

fof(f348,plain,
    ( ~ in(sK2,cartesian_product2(sK3,sK4))
    | spl14_11 ),
    inference(resolution,[],[f304,f150]) ).

fof(f304,plain,
    ( ~ in(sK11(sK4,sK3,sK2),sK3)
    | spl14_11 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f302,plain,
    ( spl14_11
  <=> in(sK11(sK4,sK3,sK2),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).

fof(f313,plain,
    ( ~ spl14_10
    | ~ spl14_11
    | ~ spl14_12
    | ~ spl14_13
    | spl14_2
    | ~ spl14_8 ),
    inference(avatar_split_clause,[],[f296,f280,f74,f310,f306,f302,f298]) ).

fof(f306,plain,
    ( spl14_12
  <=> in(sK12(sK4,sK3,sK2),sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).

fof(f74,plain,
    ( spl14_2
  <=> sP13(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).

fof(f296,plain,
    ( ~ in(sK12(sK4,sK3,sK2),sK4)
    | ~ in(sK12(sK4,sK3,sK2),sK6)
    | ~ in(sK11(sK4,sK3,sK2),sK3)
    | ~ in(sK11(sK4,sK3,sK2),sK5)
    | spl14_2
    | ~ spl14_8 ),
    inference(subsumption_resolution,[],[f293,f76]) ).

fof(f76,plain,
    ( ~ sP13(sK2)
    | spl14_2 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f293,plain,
    ( sP13(sK2)
    | ~ in(sK12(sK4,sK3,sK2),sK4)
    | ~ in(sK12(sK4,sK3,sK2),sK6)
    | ~ in(sK11(sK4,sK3,sK2),sK3)
    | ~ in(sK11(sK4,sK3,sK2),sK5)
    | ~ spl14_8 ),
    inference(superposition,[],[f144,f282]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( sP13(ordered_pair(X1,X0))
      | ~ in(X0,sK4)
      | ~ in(X0,sK6)
      | ~ in(X1,sK3)
      | ~ in(X1,sK5) ),
    inference(resolution,[],[f136,f132]) ).

fof(f132,plain,
    ! [X2,X0,X1] :
      ( in(X0,set_intersection2(X2,X1))
      | ~ in(X0,X2)
      | ~ in(X0,X1) ),
    inference(resolution,[],[f45,f65]) ).

fof(f65,plain,
    ! [X0,X1] : sP0(X1,X0,set_intersection2(X0,X1)),
    inference(equality_resolution,[],[f49]) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( sP0(X1,X0,X2)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) = X2
        | ~ sP0(X1,X0,X2) )
      & ( sP0(X1,X0,X2)
        | set_intersection2(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( set_intersection2(X0,X1) = X2
    <=> sP0(X1,X0,X2) ),
    inference(definition_folding,[],[f5,f19]) ).

fof(f19,plain,
    ! [X1,X0,X2] :
      ( sP0(X1,X0,X2)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            & in(X3,X0) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( set_intersection2(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.A5pzqqb53w/Vampire---4.8_3774',d3_xboole_0) ).

fof(f45,plain,
    ! [X2,X0,X1,X4] :
      ( ~ sP0(X0,X1,X2)
      | ~ in(X4,X0)
      | ~ in(X4,X1)
      | in(X4,X2) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ( ( ~ in(sK7(X0,X1,X2),X0)
            | ~ in(sK7(X0,X1,X2),X1)
            | ~ in(sK7(X0,X1,X2),X2) )
          & ( ( in(sK7(X0,X1,X2),X0)
              & in(sK7(X0,X1,X2),X1) )
            | in(sK7(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ~ in(X4,X0)
              | ~ in(X4,X1) )
            & ( ( in(X4,X0)
                & in(X4,X1) )
              | ~ in(X4,X2) ) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f27,f28]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ in(X3,X0)
            | ~ in(X3,X1)
            | ~ in(X3,X2) )
          & ( ( in(X3,X0)
              & in(X3,X1) )
            | in(X3,X2) ) )
     => ( ( ~ in(sK7(X0,X1,X2),X0)
          | ~ in(sK7(X0,X1,X2),X1)
          | ~ in(sK7(X0,X1,X2),X2) )
        & ( ( in(sK7(X0,X1,X2),X0)
            & in(sK7(X0,X1,X2),X1) )
          | in(sK7(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | ~ in(X3,X1)
              | ~ in(X3,X2) )
            & ( ( in(X3,X0)
                & in(X3,X1) )
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ~ in(X4,X0)
              | ~ in(X4,X1) )
            & ( ( in(X4,X0)
                & in(X4,X1) )
              | ~ in(X4,X2) ) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f26]) ).

fof(f26,plain,
    ! [X1,X0,X2] :
      ( ( sP0(X1,X0,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) ) )
        | ~ sP0(X1,X0,X2) ) ),
    inference(flattening,[],[f25]) ).

fof(f25,plain,
    ! [X1,X0,X2] :
      ( ( sP0(X1,X0,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) ) )
        | ~ sP0(X1,X0,X2) ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( ~ in(X1,set_intersection2(sK3,sK5))
      | ~ in(X0,sK6)
      | ~ in(X0,sK4)
      | sP13(ordered_pair(X1,X0)) ),
    inference(resolution,[],[f132,f64]) ).

fof(f64,plain,
    ! [X6,X5] :
      ( ~ in(X6,set_intersection2(sK4,sK6))
      | ~ in(X5,set_intersection2(sK3,sK5))
      | sP13(ordered_pair(X5,X6)) ),
    inference(inequality_splitting,[],[f39,f63]) ).

fof(f63,plain,
    ~ sP13(sK2),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP13])]) ).

fof(f39,plain,
    ! [X6,X5] :
      ( ~ in(X6,set_intersection2(sK4,sK6))
      | ~ in(X5,set_intersection2(sK3,sK5))
      | ordered_pair(X5,X6) != sK2 ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ( ! [X5,X6] :
        ( ~ in(X6,set_intersection2(sK4,sK6))
        | ~ in(X5,set_intersection2(sK3,sK5))
        | ordered_pair(X5,X6) != sK2 )
    & in(sK2,set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK6))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6])],[f16,f23]) ).

fof(f23,plain,
    ( ? [X0,X1,X2,X3,X4] :
        ( ! [X5,X6] :
            ( ~ in(X6,set_intersection2(X2,X4))
            | ~ in(X5,set_intersection2(X1,X3))
            | ordered_pair(X5,X6) != X0 )
        & in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) )
   => ( ! [X6,X5] :
          ( ~ in(X6,set_intersection2(sK4,sK6))
          | ~ in(X5,set_intersection2(sK3,sK5))
          | ordered_pair(X5,X6) != sK2 )
      & in(sK2,set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK6))) ) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ! [X5,X6] :
          ( ~ in(X6,set_intersection2(X2,X4))
          | ~ in(X5,set_intersection2(X1,X3))
          | ordered_pair(X5,X6) != X0 )
      & in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4] :
        ~ ( ! [X5,X6] :
              ~ ( in(X6,set_intersection2(X2,X4))
                & in(X5,set_intersection2(X1,X3))
                & ordered_pair(X5,X6) = X0 )
          & in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
    inference(negated_conjecture,[],[f11]) ).

fof(f11,conjecture,
    ! [X0,X1,X2,X3,X4] :
      ~ ( ! [X5,X6] :
            ~ ( in(X6,set_intersection2(X2,X4))
              & in(X5,set_intersection2(X1,X3))
              & ordered_pair(X5,X6) = X0 )
        & in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
    file('/export/starexec/sandbox/tmp/tmp.A5pzqqb53w/Vampire---4.8_3774',t104_zfmisc_1) ).

fof(f288,plain,
    ( spl14_9
    | ~ spl14_6 ),
    inference(avatar_split_clause,[],[f269,f119,f285]) ).

fof(f269,plain,
    ( sK2 = ordered_pair(sK11(sK6,sK5,sK2),sK12(sK6,sK5,sK2))
    | ~ spl14_6 ),
    inference(resolution,[],[f259,f121]) ).

fof(f259,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,cartesian_product2(X1,X2))
      | ordered_pair(sK11(X2,X1,X0),sK12(X2,X1,X0)) = X0 ),
    inference(resolution,[],[f54,f67]) ).

fof(f54,plain,
    ! [X2,X0,X1,X8] :
      ( ~ sP1(X0,X1,X2)
      | ~ in(X8,X2)
      | ordered_pair(sK11(X0,X1,X8),sK12(X0,X1,X8)) = X8 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f283,plain,
    ( spl14_8
    | ~ spl14_4 ),
    inference(avatar_split_clause,[],[f268,f104,f280]) ).

fof(f268,plain,
    ( sK2 = ordered_pair(sK11(sK4,sK3,sK2),sK12(sK4,sK3,sK2))
    | ~ spl14_4 ),
    inference(resolution,[],[f259,f106]) ).

fof(f122,plain,
    ( spl14_6
    | ~ spl14_1 ),
    inference(avatar_split_clause,[],[f114,f69,f119]) ).

fof(f69,plain,
    ( spl14_1
  <=> in(sK2,set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK6))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f114,plain,
    ( in(sK2,cartesian_product2(sK5,sK6))
    | ~ spl14_1 ),
    inference(resolution,[],[f97,f71]) ).

fof(f71,plain,
    ( in(sK2,set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK6)))
    | ~ spl14_1 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f97,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,set_intersection2(X1,X2))
      | in(X0,X2) ),
    inference(resolution,[],[f43,f85]) ).

fof(f85,plain,
    ! [X0,X1] : sP0(X1,X0,set_intersection2(X1,X0)),
    inference(superposition,[],[f65,f51]) ).

fof(f51,plain,
    ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.A5pzqqb53w/Vampire---4.8_3774',commutativity_k3_xboole_0) ).

fof(f43,plain,
    ! [X2,X0,X1,X4] :
      ( ~ sP0(X0,X1,X2)
      | ~ in(X4,X2)
      | in(X4,X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f107,plain,
    ( spl14_4
    | ~ spl14_1 ),
    inference(avatar_split_clause,[],[f99,f69,f104]) ).

fof(f99,plain,
    ( in(sK2,cartesian_product2(sK3,sK4))
    | ~ spl14_1 ),
    inference(resolution,[],[f96,f71]) ).

fof(f96,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,set_intersection2(X1,X2))
      | in(X0,X1) ),
    inference(resolution,[],[f43,f65]) ).

fof(f77,plain,
    ~ spl14_2,
    inference(avatar_split_clause,[],[f63,f74]) ).

fof(f72,plain,
    spl14_1,
    inference(avatar_split_clause,[],[f38,f69]) ).

fof(f38,plain,
    in(sK2,set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK6))),
    inference(cnf_transformation,[],[f24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SET951+1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.15  % 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
% 0.16/0.36  % Computer : n008.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % 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   : Fri May  3 16:26:53 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  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.A5pzqqb53w/Vampire---4.8_3774
% 0.61/0.76  % (4181)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)
% 0.61/0.76  % (4174)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)
% 0.61/0.76  % (4176)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76  % (4177)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)
% 0.61/0.76  % (4175)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)
% 0.61/0.76  % (4179)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)
% 0.61/0.76  % (4178)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)
% 0.61/0.76  % (4180)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)
% 0.61/0.76  % (4181)Refutation not found, incomplete strategy% (4181)------------------------------
% 0.61/0.76  % (4181)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (4181)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (4181)Memory used [KB]: 1046
% 0.61/0.76  % (4181)Time elapsed: 0.002 s
% 0.61/0.76  % (4181)Instructions burned: 4 (million)
% 0.61/0.77  % (4181)------------------------------
% 0.61/0.77  % (4181)------------------------------
% 0.61/0.77  % (4178)Refutation not found, incomplete strategy% (4178)------------------------------
% 0.61/0.77  % (4178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (4178)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (4178)Memory used [KB]: 1058
% 0.61/0.77  % (4178)Time elapsed: 0.004 s
% 0.61/0.77  % (4178)Instructions burned: 5 (million)
% 0.61/0.77  % (4182)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)
% 0.61/0.77  % (4178)------------------------------
% 0.61/0.77  % (4178)------------------------------
% 0.61/0.77  % (4184)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)
% 0.61/0.78  % (4177)Instruction limit reached!
% 0.61/0.78  % (4177)------------------------------
% 0.61/0.78  % (4177)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (4177)Termination reason: Unknown
% 0.61/0.78  % (4177)Termination phase: Saturation
% 0.61/0.78  
% 0.61/0.78  % (4177)Memory used [KB]: 1519
% 0.61/0.78  % (4177)Time elapsed: 0.019 s
% 0.61/0.78  % (4177)Instructions burned: 33 (million)
% 0.61/0.78  % (4177)------------------------------
% 0.61/0.78  % (4177)------------------------------
% 0.61/0.78  % (4174)Instruction limit reached!
% 0.61/0.78  % (4174)------------------------------
% 0.61/0.78  % (4174)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (4174)Termination reason: Unknown
% 0.61/0.78  % (4174)Termination phase: Saturation
% 0.61/0.78  
% 0.61/0.78  % (4174)Memory used [KB]: 1243
% 0.61/0.78  % (4174)Time elapsed: 0.021 s
% 0.61/0.78  % (4174)Instructions burned: 35 (million)
% 0.61/0.78  % (4174)------------------------------
% 0.61/0.78  % (4174)------------------------------
% 0.61/0.79  % (4182)Instruction limit reached!
% 0.61/0.79  % (4182)------------------------------
% 0.61/0.79  % (4182)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (4182)Termination reason: Unknown
% 0.61/0.79  % (4182)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (4182)Memory used [KB]: 1694
% 0.61/0.79  % (4182)Time elapsed: 0.019 s
% 0.61/0.79  % (4182)Instructions burned: 56 (million)
% 0.61/0.79  % (4182)------------------------------
% 0.61/0.79  % (4182)------------------------------
% 0.61/0.79  % (4191)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)
% 0.61/0.79  % (4194)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)
% 0.61/0.79  % (4198)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)
% 0.61/0.79  % (4179)Instruction limit reached!
% 0.61/0.79  % (4179)------------------------------
% 0.61/0.79  % (4179)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (4179)Termination reason: Unknown
% 0.61/0.79  % (4179)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (4179)Memory used [KB]: 1344
% 0.61/0.79  % (4179)Time elapsed: 0.026 s
% 0.61/0.79  % (4179)Instructions burned: 45 (million)
% 0.61/0.79  % (4179)------------------------------
% 0.61/0.79  % (4179)------------------------------
% 0.61/0.79  % (4198)Refutation not found, incomplete strategy% (4198)------------------------------
% 0.61/0.79  % (4198)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (4198)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (4198)Memory used [KB]: 1063
% 0.61/0.79  % (4198)Time elapsed: 0.004 s
% 0.61/0.79  % (4198)Instructions burned: 10 (million)
% 0.61/0.79  % (4198)------------------------------
% 0.61/0.79  % (4198)------------------------------
% 0.61/0.79  % (4175)Instruction limit reached!
% 0.61/0.79  % (4175)------------------------------
% 0.61/0.79  % (4175)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (4175)Termination reason: Unknown
% 0.61/0.79  % (4175)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (4175)Memory used [KB]: 1434
% 0.61/0.79  % (4175)Time elapsed: 0.030 s
% 0.61/0.79  % (4175)Instructions burned: 51 (million)
% 0.61/0.79  % (4175)------------------------------
% 0.61/0.79  % (4175)------------------------------
% 0.61/0.79  % (4202)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.61/0.79  % (4205)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.61/0.80  % (4207)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.61/0.80  % (4184)Instruction limit reached!
% 0.61/0.80  % (4184)------------------------------
% 0.61/0.80  % (4184)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (4184)Termination reason: Unknown
% 0.61/0.80  % (4184)Termination phase: Saturation
% 0.61/0.80  
% 0.61/0.80  % (4184)Memory used [KB]: 1385
% 0.61/0.80  % (4184)Time elapsed: 0.028 s
% 0.61/0.80  % (4184)Instructions burned: 51 (million)
% 0.61/0.80  % (4184)------------------------------
% 0.61/0.80  % (4184)------------------------------
% 0.61/0.80  % (4209)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.61/0.81  % (4176)Instruction limit reached!
% 0.61/0.81  % (4176)------------------------------
% 0.61/0.81  % (4176)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (4176)Termination reason: Unknown
% 0.61/0.81  % (4176)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (4176)Memory used [KB]: 1724
% 0.61/0.81  % (4176)Time elapsed: 0.045 s
% 0.61/0.81  % (4176)Instructions burned: 78 (million)
% 0.61/0.81  % (4176)------------------------------
% 0.61/0.81  % (4176)------------------------------
% 0.61/0.81  % (4180)Instruction limit reached!
% 0.61/0.81  % (4180)------------------------------
% 0.61/0.81  % (4180)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (4180)Termination reason: Unknown
% 0.61/0.81  % (4180)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (4180)Memory used [KB]: 1893
% 0.61/0.81  % (4180)Time elapsed: 0.047 s
% 0.61/0.81  % (4180)Instructions burned: 83 (million)
% 0.61/0.81  % (4180)------------------------------
% 0.61/0.81  % (4180)------------------------------
% 0.61/0.81  % (4216)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.61/0.81  % (4217)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.89/0.82  % (4202)Instruction limit reached!
% 0.89/0.82  % (4202)------------------------------
% 0.89/0.82  % (4202)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.82  % (4202)Termination reason: Unknown
% 0.89/0.82  % (4202)Termination phase: Saturation
% 0.89/0.82  
% 0.89/0.82  % (4202)Memory used [KB]: 1588
% 0.89/0.82  % (4202)Time elapsed: 0.024 s
% 0.89/0.82  % (4202)Instructions burned: 42 (million)
% 0.89/0.82  % (4202)------------------------------
% 0.89/0.82  % (4202)------------------------------
% 0.89/0.82  % (4194)Instruction limit reached!
% 0.89/0.82  % (4194)------------------------------
% 0.89/0.82  % (4194)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.82  % (4194)Termination reason: Unknown
% 0.89/0.82  % (4194)Termination phase: Saturation
% 0.89/0.82  
% 0.89/0.82  % (4194)Memory used [KB]: 1741
% 0.89/0.82  % (4194)Time elapsed: 0.033 s
% 0.89/0.82  % (4194)Instructions burned: 52 (million)
% 0.89/0.82  % (4194)------------------------------
% 0.89/0.82  % (4194)------------------------------
% 0.89/0.82  % (4223)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.89/0.82  % (4229)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.89/0.84  % (4223)Instruction limit reached!
% 0.89/0.84  % (4223)------------------------------
% 0.89/0.84  % (4223)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.84  % (4223)Termination reason: Unknown
% 0.89/0.84  % (4223)Termination phase: Saturation
% 0.89/0.84  
% 0.89/0.84  % (4223)Memory used [KB]: 1141
% 0.89/0.84  % (4223)Time elapsed: 0.020 s
% 0.89/0.84  % (4223)Instructions burned: 33 (million)
% 0.89/0.84  % (4223)------------------------------
% 0.89/0.84  % (4223)------------------------------
% 0.89/0.84  % (4239)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.89/0.85  % (4217)Instruction limit reached!
% 0.89/0.85  % (4217)------------------------------
% 0.89/0.85  % (4217)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.85  % (4217)Termination reason: Unknown
% 0.89/0.85  % (4217)Termination phase: Saturation
% 0.89/0.85  
% 0.89/0.85  % (4217)Memory used [KB]: 1719
% 0.89/0.85  % (4217)Time elapsed: 0.037 s
% 0.89/0.85  % (4217)Instructions burned: 62 (million)
% 0.89/0.85  % (4217)------------------------------
% 0.89/0.85  % (4217)------------------------------
% 0.89/0.85  % (4248)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.89/0.86  % (4207)Instruction limit reached!
% 0.89/0.86  % (4207)------------------------------
% 0.89/0.86  % (4207)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.86  % (4207)Termination reason: Unknown
% 0.89/0.86  % (4207)Termination phase: Saturation
% 0.89/0.86  
% 0.89/0.86  % (4207)Memory used [KB]: 1590
% 0.89/0.86  % (4207)Time elapsed: 0.061 s
% 0.89/0.86  % (4207)Instructions burned: 118 (million)
% 0.89/0.86  % (4207)------------------------------
% 0.89/0.86  % (4207)------------------------------
% 1.07/0.86  % (4255)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 1.07/0.86  % (4216)Instruction limit reached!
% 1.07/0.86  % (4216)------------------------------
% 1.07/0.86  % (4216)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.86  % (4216)Termination reason: Unknown
% 1.07/0.86  % (4216)Termination phase: Saturation
% 1.07/0.86  
% 1.07/0.86  % (4216)Memory used [KB]: 1650
% 1.07/0.86  % (4216)Time elapsed: 0.052 s
% 1.07/0.86  % (4216)Instructions burned: 93 (million)
% 1.07/0.86  % (4216)------------------------------
% 1.07/0.86  % (4216)------------------------------
% 1.07/0.87  % (4205)Instruction limit reached!
% 1.07/0.87  % (4205)------------------------------
% 1.07/0.87  % (4205)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.87  % (4205)Termination reason: Unknown
% 1.07/0.87  % (4205)Termination phase: Saturation
% 1.07/0.87  
% 1.07/0.87  % (4205)Memory used [KB]: 2211
% 1.07/0.87  % (4205)Time elapsed: 0.073 s
% 1.07/0.87  % (4205)Instructions burned: 243 (million)
% 1.07/0.87  % (4205)------------------------------
% 1.07/0.87  % (4205)------------------------------
% 1.07/0.87  % (4260)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2995ds/102Mi)
% 1.07/0.87  % (4261)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 1.07/0.87  % (4239)Instruction limit reached!
% 1.07/0.87  % (4239)------------------------------
% 1.07/0.87  % (4239)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.87  % (4239)Termination reason: Unknown
% 1.07/0.87  % (4239)Termination phase: Saturation
% 1.07/0.87  
% 1.07/0.87  % (4239)Memory used [KB]: 1876
% 1.07/0.87  % (4239)Time elapsed: 0.031 s
% 1.07/0.87  % (4239)Instructions burned: 56 (million)
% 1.07/0.87  % (4239)------------------------------
% 1.07/0.87  % (4239)------------------------------
% 1.07/0.88  % (4209)Instruction limit reached!
% 1.07/0.88  % (4209)------------------------------
% 1.07/0.88  % (4209)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.88  % (4209)Termination reason: Unknown
% 1.07/0.88  % (4209)Termination phase: Saturation
% 1.07/0.88  
% 1.07/0.88  % (4209)Memory used [KB]: 2029
% 1.07/0.88  % (4209)Time elapsed: 0.075 s
% 1.07/0.88  % (4209)Instructions burned: 144 (million)
% 1.07/0.88  % (4209)------------------------------
% 1.07/0.88  % (4209)------------------------------
% 1.07/0.88  % (4263)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 1.07/0.88  % (4248)Instruction limit reached!
% 1.07/0.88  % (4248)------------------------------
% 1.07/0.88  % (4248)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.88  % (4248)Termination reason: Unknown
% 1.07/0.88  % (4248)Termination phase: Saturation
% 1.07/0.88  
% 1.07/0.88  % (4248)Memory used [KB]: 1554
% 1.07/0.88  % (4248)Time elapsed: 0.026 s
% 1.07/0.88  % (4248)Instructions burned: 54 (million)
% 1.07/0.88  % (4248)------------------------------
% 1.07/0.88  % (4248)------------------------------
% 1.07/0.88  % (4266)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 1.07/0.88  % (4261)Instruction limit reached!
% 1.07/0.88  % (4261)------------------------------
% 1.07/0.88  % (4261)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.88  % (4261)Termination reason: Unknown
% 1.07/0.88  % (4261)Termination phase: Saturation
% 1.07/0.88  
% 1.07/0.88  % (4261)Memory used [KB]: 1320
% 1.07/0.88  % (4261)Time elapsed: 0.034 s
% 1.07/0.88  % (4261)Instructions burned: 36 (million)
% 1.07/0.88  % (4261)------------------------------
% 1.07/0.88  % (4261)------------------------------
% 1.07/0.88  % (4260)First to succeed.
% 1.07/0.88  % (4268)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 1.07/0.88  % (4268)Refutation not found, incomplete strategy% (4268)------------------------------
% 1.07/0.88  % (4268)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.88  % (4268)Termination reason: Refutation not found, incomplete strategy
% 1.07/0.88  
% 1.07/0.88  % (4268)Memory used [KB]: 1045
% 1.07/0.88  % (4268)Time elapsed: 0.025 s
% 1.07/0.88  % (4268)Instructions burned: 3 (million)
% 1.07/0.88  % (4270)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 1.07/0.88  % (4260)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4020"
% 1.07/0.88  % (4268)------------------------------
% 1.07/0.88  % (4268)------------------------------
% 1.07/0.88  % (4260)Refutation found. Thanks to Tanya!
% 1.07/0.88  % SZS status Theorem for Vampire---4
% 1.07/0.88  % SZS output start Proof for Vampire---4
% See solution above
% 1.07/0.89  % (4260)------------------------------
% 1.07/0.89  % (4260)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.89  % (4260)Termination reason: Refutation
% 1.07/0.89  
% 1.07/0.89  % (4260)Memory used [KB]: 1280
% 1.07/0.89  % (4260)Time elapsed: 0.039 s
% 1.07/0.89  % (4260)Instructions burned: 30 (million)
% 1.07/0.89  % (4020)Success in time 0.52 s
% 1.07/0.89  % Vampire---4.8 exiting
%------------------------------------------------------------------------------