TSTP Solution File: SEU240+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU240+1 : TPTP v8.2.0. 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/sandbox2/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 : Tue May 21 03:46:00 EDT 2024

% Result   : Theorem 0.59s 0.76s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   79 (   2 unt;   0 def)
%            Number of atoms       :  378 (   0 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  504 ( 205   ~; 205   |;  68   &)
%                                         (  12 <=>;  12  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :  153 ( 120   !;  33   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f165,plain,
    $false,
    inference(avatar_sat_refutation,[],[f92,f97,f102,f106,f128,f164]) ).

fof(f164,plain,
    ( ~ spl9_1
    | spl9_2
    | ~ spl9_3
    | ~ spl9_4 ),
    inference(avatar_contradiction_clause,[],[f163]) ).

fof(f163,plain,
    ( $false
    | ~ spl9_1
    | spl9_2
    | ~ spl9_3
    | ~ spl9_4 ),
    inference(subsumption_resolution,[],[f162,f63]) ).

fof(f63,plain,
    relation(sK0),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( ( ( ~ in(ordered_pair(sK1,sK3),sK0)
        & in(ordered_pair(sK2,sK3),sK0)
        & in(ordered_pair(sK1,sK2),sK0) )
      | ~ transitive(sK0) )
    & ( ! [X4,X5,X6] :
          ( in(ordered_pair(X4,X6),sK0)
          | ~ in(ordered_pair(X5,X6),sK0)
          | ~ in(ordered_pair(X4,X5),sK0) )
      | transitive(sK0) )
    & relation(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f50,f52,f51]) ).

fof(f51,plain,
    ( ? [X0] :
        ( ( ? [X1,X2,X3] :
              ( ~ in(ordered_pair(X1,X3),X0)
              & in(ordered_pair(X2,X3),X0)
              & in(ordered_pair(X1,X2),X0) )
          | ~ transitive(X0) )
        & ( ! [X4,X5,X6] :
              ( in(ordered_pair(X4,X6),X0)
              | ~ in(ordered_pair(X5,X6),X0)
              | ~ in(ordered_pair(X4,X5),X0) )
          | transitive(X0) )
        & relation(X0) )
   => ( ( ? [X3,X2,X1] :
            ( ~ in(ordered_pair(X1,X3),sK0)
            & in(ordered_pair(X2,X3),sK0)
            & in(ordered_pair(X1,X2),sK0) )
        | ~ transitive(sK0) )
      & ( ! [X6,X5,X4] :
            ( in(ordered_pair(X4,X6),sK0)
            | ~ in(ordered_pair(X5,X6),sK0)
            | ~ in(ordered_pair(X4,X5),sK0) )
        | transitive(sK0) )
      & relation(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f52,plain,
    ( ? [X3,X2,X1] :
        ( ~ in(ordered_pair(X1,X3),sK0)
        & in(ordered_pair(X2,X3),sK0)
        & in(ordered_pair(X1,X2),sK0) )
   => ( ~ in(ordered_pair(sK1,sK3),sK0)
      & in(ordered_pair(sK2,sK3),sK0)
      & in(ordered_pair(sK1,sK2),sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ? [X0] :
      ( ( ? [X1,X2,X3] :
            ( ~ in(ordered_pair(X1,X3),X0)
            & in(ordered_pair(X2,X3),X0)
            & in(ordered_pair(X1,X2),X0) )
        | ~ transitive(X0) )
      & ( ! [X4,X5,X6] :
            ( in(ordered_pair(X4,X6),X0)
            | ~ in(ordered_pair(X5,X6),X0)
            | ~ in(ordered_pair(X4,X5),X0) )
        | transitive(X0) )
      & relation(X0) ),
    inference(rectify,[],[f49]) ).

fof(f49,plain,
    ? [X0] :
      ( ( ? [X1,X2,X3] :
            ( ~ in(ordered_pair(X1,X3),X0)
            & in(ordered_pair(X2,X3),X0)
            & in(ordered_pair(X1,X2),X0) )
        | ~ transitive(X0) )
      & ( ! [X1,X2,X3] :
            ( in(ordered_pair(X1,X3),X0)
            | ~ in(ordered_pair(X2,X3),X0)
            | ~ in(ordered_pair(X1,X2),X0) )
        | transitive(X0) )
      & relation(X0) ),
    inference(flattening,[],[f48]) ).

fof(f48,plain,
    ? [X0] :
      ( ( ? [X1,X2,X3] :
            ( ~ in(ordered_pair(X1,X3),X0)
            & in(ordered_pair(X2,X3),X0)
            & in(ordered_pair(X1,X2),X0) )
        | ~ transitive(X0) )
      & ( ! [X1,X2,X3] :
            ( in(ordered_pair(X1,X3),X0)
            | ~ in(ordered_pair(X2,X3),X0)
            | ~ in(ordered_pair(X1,X2),X0) )
        | transitive(X0) )
      & relation(X0) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f40,plain,
    ? [X0] :
      ( ( transitive(X0)
      <~> ! [X1,X2,X3] :
            ( in(ordered_pair(X1,X3),X0)
            | ~ in(ordered_pair(X2,X3),X0)
            | ~ in(ordered_pair(X1,X2),X0) ) )
      & relation(X0) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ? [X0] :
      ( ( transitive(X0)
      <~> ! [X1,X2,X3] :
            ( in(ordered_pair(X1,X3),X0)
            | ~ in(ordered_pair(X2,X3),X0)
            | ~ in(ordered_pair(X1,X2),X0) ) )
      & relation(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,negated_conjecture,
    ~ ! [X0] :
        ( relation(X0)
       => ( transitive(X0)
        <=> ! [X1,X2,X3] :
              ( ( in(ordered_pair(X2,X3),X0)
                & in(ordered_pair(X1,X2),X0) )
             => in(ordered_pair(X1,X3),X0) ) ) ),
    inference(negated_conjecture,[],[f25]) ).

fof(f25,conjecture,
    ! [X0] :
      ( relation(X0)
     => ( transitive(X0)
      <=> ! [X1,X2,X3] :
            ( ( in(ordered_pair(X2,X3),X0)
              & in(ordered_pair(X1,X2),X0) )
           => in(ordered_pair(X1,X3),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_wellord1) ).

fof(f162,plain,
    ( ~ relation(sK0)
    | ~ spl9_1
    | spl9_2
    | ~ spl9_3
    | ~ spl9_4 ),
    inference(subsumption_resolution,[],[f161,f86]) ).

fof(f86,plain,
    ( transitive(sK0)
    | ~ spl9_1 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f85,plain,
    ( spl9_1
  <=> transitive(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).

fof(f161,plain,
    ( ~ transitive(sK0)
    | ~ relation(sK0)
    | spl9_2
    | ~ spl9_3
    | ~ spl9_4 ),
    inference(subsumption_resolution,[],[f160,f136]) ).

fof(f136,plain,
    ( in(sK3,relation_field(sK0))
    | ~ spl9_3 ),
    inference(subsumption_resolution,[],[f132,f63]) ).

fof(f132,plain,
    ( in(sK3,relation_field(sK0))
    | ~ relation(sK0)
    | ~ spl9_3 ),
    inference(resolution,[],[f96,f76]) ).

fof(f76,plain,
    ! [X2,X0,X1] :
      ( ~ in(ordered_pair(X0,X1),X2)
      | in(X1,relation_field(X2))
      | ~ relation(X2) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( ( in(X1,relation_field(X2))
        & in(X0,relation_field(X2)) )
      | ~ in(ordered_pair(X0,X1),X2)
      | ~ relation(X2) ),
    inference(flattening,[],[f44]) ).

fof(f44,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,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1,X2] :
      ( relation(X2)
     => ( in(ordered_pair(X0,X1),X2)
       => ( in(X1,relation_field(X2))
          & in(X0,relation_field(X2)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_relat_1) ).

fof(f96,plain,
    ( in(ordered_pair(sK2,sK3),sK0)
    | ~ spl9_3 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f94,plain,
    ( spl9_3
  <=> in(ordered_pair(sK2,sK3),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).

fof(f160,plain,
    ( ~ in(sK3,relation_field(sK0))
    | ~ transitive(sK0)
    | ~ relation(sK0)
    | spl9_2
    | ~ spl9_3
    | ~ spl9_4 ),
    inference(subsumption_resolution,[],[f159,f145]) ).

fof(f145,plain,
    ( in(sK1,relation_field(sK0))
    | ~ spl9_4 ),
    inference(subsumption_resolution,[],[f141,f63]) ).

fof(f141,plain,
    ( in(sK1,relation_field(sK0))
    | ~ relation(sK0)
    | ~ spl9_4 ),
    inference(resolution,[],[f101,f75]) ).

fof(f75,plain,
    ! [X2,X0,X1] :
      ( ~ in(ordered_pair(X0,X1),X2)
      | in(X0,relation_field(X2))
      | ~ relation(X2) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f101,plain,
    ( in(ordered_pair(sK1,sK2),sK0)
    | ~ spl9_4 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f99,plain,
    ( spl9_4
  <=> in(ordered_pair(sK1,sK2),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).

fof(f159,plain,
    ( ~ in(sK1,relation_field(sK0))
    | ~ in(sK3,relation_field(sK0))
    | ~ transitive(sK0)
    | ~ relation(sK0)
    | spl9_2
    | ~ spl9_3
    | ~ spl9_4 ),
    inference(subsumption_resolution,[],[f158,f135]) ).

fof(f135,plain,
    ( in(sK2,relation_field(sK0))
    | ~ spl9_3 ),
    inference(subsumption_resolution,[],[f131,f63]) ).

fof(f131,plain,
    ( in(sK2,relation_field(sK0))
    | ~ relation(sK0)
    | ~ spl9_3 ),
    inference(resolution,[],[f96,f75]) ).

fof(f158,plain,
    ( ~ in(sK2,relation_field(sK0))
    | ~ in(sK1,relation_field(sK0))
    | ~ in(sK3,relation_field(sK0))
    | ~ transitive(sK0)
    | ~ relation(sK0)
    | spl9_2
    | ~ spl9_3
    | ~ spl9_4 ),
    inference(resolution,[],[f156,f71]) ).

fof(f71,plain,
    ! [X0] :
      ( is_transitive_in(X0,relation_field(X0))
      | ~ transitive(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0] :
      ( ( ( transitive(X0)
          | ~ is_transitive_in(X0,relation_field(X0)) )
        & ( is_transitive_in(X0,relation_field(X0))
          | ~ transitive(X0) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ( transitive(X0)
      <=> is_transitive_in(X0,relation_field(X0)) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( relation(X0)
     => ( transitive(X0)
      <=> is_transitive_in(X0,relation_field(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_relat_2) ).

fof(f156,plain,
    ( ! [X0] :
        ( ~ is_transitive_in(sK0,X0)
        | ~ in(sK2,X0)
        | ~ in(sK1,X0)
        | ~ in(sK3,X0) )
    | spl9_2
    | ~ spl9_3
    | ~ spl9_4 ),
    inference(subsumption_resolution,[],[f154,f96]) ).

fof(f154,plain,
    ( ! [X0] :
        ( ~ in(ordered_pair(sK2,sK3),sK0)
        | ~ in(sK3,X0)
        | ~ in(sK2,X0)
        | ~ in(sK1,X0)
        | ~ is_transitive_in(sK0,X0) )
    | spl9_2
    | ~ spl9_4 ),
    inference(resolution,[],[f153,f101]) ).

fof(f153,plain,
    ( ! [X0,X1] :
        ( ~ in(ordered_pair(sK1,X0),sK0)
        | ~ in(ordered_pair(X0,sK3),sK0)
        | ~ in(sK3,X1)
        | ~ in(X0,X1)
        | ~ in(sK1,X1)
        | ~ is_transitive_in(sK0,X1) )
    | spl9_2 ),
    inference(subsumption_resolution,[],[f130,f63]) ).

fof(f130,plain,
    ( ! [X0,X1] :
        ( ~ in(ordered_pair(X0,sK3),sK0)
        | ~ in(ordered_pair(sK1,X0),sK0)
        | ~ in(sK3,X1)
        | ~ in(X0,X1)
        | ~ in(sK1,X1)
        | ~ is_transitive_in(sK0,X1)
        | ~ relation(sK0) )
    | spl9_2 ),
    inference(resolution,[],[f91,f77]) ).

fof(f77,plain,
    ! [X0,X1,X6,X7,X5] :
      ( in(ordered_pair(X5,X7),X0)
      | ~ in(ordered_pair(X6,X7),X0)
      | ~ in(ordered_pair(X5,X6),X0)
      | ~ in(X7,X1)
      | ~ in(X6,X1)
      | ~ in(X5,X1)
      | ~ is_transitive_in(X0,X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( is_transitive_in(X0,X1)
            | ( ~ in(ordered_pair(sK6(X0,X1),sK8(X0,X1)),X0)
              & in(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X0)
              & in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X0)
              & in(sK8(X0,X1),X1)
              & in(sK7(X0,X1),X1)
              & in(sK6(X0,X1),X1) ) )
          & ( ! [X5,X6,X7] :
                ( in(ordered_pair(X5,X7),X0)
                | ~ in(ordered_pair(X6,X7),X0)
                | ~ in(ordered_pair(X5,X6),X0)
                | ~ in(X7,X1)
                | ~ in(X6,X1)
                | ~ in(X5,X1) )
            | ~ is_transitive_in(X0,X1) ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f60,f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ? [X2,X3,X4] :
          ( ~ in(ordered_pair(X2,X4),X0)
          & in(ordered_pair(X3,X4),X0)
          & in(ordered_pair(X2,X3),X0)
          & in(X4,X1)
          & in(X3,X1)
          & in(X2,X1) )
     => ( ~ in(ordered_pair(sK6(X0,X1),sK8(X0,X1)),X0)
        & in(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X0)
        & in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X0)
        & in(sK8(X0,X1),X1)
        & in(sK7(X0,X1),X1)
        & in(sK6(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( is_transitive_in(X0,X1)
            | ? [X2,X3,X4] :
                ( ~ in(ordered_pair(X2,X4),X0)
                & in(ordered_pair(X3,X4),X0)
                & in(ordered_pair(X2,X3),X0)
                & in(X4,X1)
                & in(X3,X1)
                & in(X2,X1) ) )
          & ( ! [X5,X6,X7] :
                ( in(ordered_pair(X5,X7),X0)
                | ~ in(ordered_pair(X6,X7),X0)
                | ~ in(ordered_pair(X5,X6),X0)
                | ~ in(X7,X1)
                | ~ in(X6,X1)
                | ~ in(X5,X1) )
            | ~ is_transitive_in(X0,X1) ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( is_transitive_in(X0,X1)
            | ? [X2,X3,X4] :
                ( ~ in(ordered_pair(X2,X4),X0)
                & in(ordered_pair(X3,X4),X0)
                & in(ordered_pair(X2,X3),X0)
                & in(X4,X1)
                & in(X3,X1)
                & in(X2,X1) ) )
          & ( ! [X2,X3,X4] :
                ( in(ordered_pair(X2,X4),X0)
                | ~ in(ordered_pair(X3,X4),X0)
                | ~ in(ordered_pair(X2,X3),X0)
                | ~ in(X4,X1)
                | ~ in(X3,X1)
                | ~ in(X2,X1) )
            | ~ is_transitive_in(X0,X1) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ! [X1] :
          ( is_transitive_in(X0,X1)
        <=> ! [X2,X3,X4] :
              ( in(ordered_pair(X2,X4),X0)
              | ~ in(ordered_pair(X3,X4),X0)
              | ~ in(ordered_pair(X2,X3),X0)
              | ~ in(X4,X1)
              | ~ in(X3,X1)
              | ~ in(X2,X1) ) )
      | ~ relation(X0) ),
    inference(flattening,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ! [X1] :
          ( is_transitive_in(X0,X1)
        <=> ! [X2,X3,X4] :
              ( in(ordered_pair(X2,X4),X0)
              | ~ in(ordered_pair(X3,X4),X0)
              | ~ in(ordered_pair(X2,X3),X0)
              | ~ in(X4,X1)
              | ~ in(X3,X1)
              | ~ in(X2,X1) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( is_transitive_in(X0,X1)
        <=> ! [X2,X3,X4] :
              ( ( in(ordered_pair(X3,X4),X0)
                & in(ordered_pair(X2,X3),X0)
                & in(X4,X1)
                & in(X3,X1)
                & in(X2,X1) )
             => in(ordered_pair(X2,X4),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_relat_2) ).

fof(f91,plain,
    ( ~ in(ordered_pair(sK1,sK3),sK0)
    | spl9_2 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f89,plain,
    ( spl9_2
  <=> in(ordered_pair(sK1,sK3),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).

fof(f128,plain,
    ( spl9_1
    | ~ spl9_5 ),
    inference(avatar_split_clause,[],[f127,f104,f85]) ).

fof(f104,plain,
    ( spl9_5
  <=> ! [X6,X4,X5] :
        ( in(ordered_pair(X4,X6),sK0)
        | ~ in(ordered_pair(X4,X5),sK0)
        | ~ in(ordered_pair(X5,X6),sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).

fof(f127,plain,
    ( transitive(sK0)
    | ~ spl9_5 ),
    inference(subsumption_resolution,[],[f123,f63]) ).

fof(f123,plain,
    ( transitive(sK0)
    | ~ relation(sK0)
    | ~ spl9_5 ),
    inference(resolution,[],[f122,f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ~ is_transitive_in(X0,relation_field(X0))
      | transitive(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f122,plain,
    ( ! [X0] : is_transitive_in(sK0,X0)
    | ~ spl9_5 ),
    inference(subsumption_resolution,[],[f121,f63]) ).

fof(f121,plain,
    ( ! [X0] :
        ( is_transitive_in(sK0,X0)
        | ~ relation(sK0) )
    | ~ spl9_5 ),
    inference(duplicate_literal_removal,[],[f119]) ).

fof(f119,plain,
    ( ! [X0] :
        ( is_transitive_in(sK0,X0)
        | is_transitive_in(sK0,X0)
        | ~ relation(sK0) )
    | ~ spl9_5 ),
    inference(resolution,[],[f117,f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( in(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X0)
      | is_transitive_in(X0,X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f117,plain,
    ( ! [X0] :
        ( ~ in(ordered_pair(sK7(sK0,X0),sK8(sK0,X0)),sK0)
        | is_transitive_in(sK0,X0) )
    | ~ spl9_5 ),
    inference(subsumption_resolution,[],[f116,f63]) ).

fof(f116,plain,
    ( ! [X0] :
        ( ~ in(ordered_pair(sK7(sK0,X0),sK8(sK0,X0)),sK0)
        | is_transitive_in(sK0,X0)
        | ~ relation(sK0) )
    | ~ spl9_5 ),
    inference(duplicate_literal_removal,[],[f114]) ).

fof(f114,plain,
    ( ! [X0] :
        ( ~ in(ordered_pair(sK7(sK0,X0),sK8(sK0,X0)),sK0)
        | is_transitive_in(sK0,X0)
        | is_transitive_in(sK0,X0)
        | ~ relation(sK0) )
    | ~ spl9_5 ),
    inference(resolution,[],[f112,f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X0)
      | is_transitive_in(X0,X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f112,plain,
    ( ! [X0,X1] :
        ( ~ in(ordered_pair(sK6(sK0,X0),X1),sK0)
        | ~ in(ordered_pair(X1,sK8(sK0,X0)),sK0)
        | is_transitive_in(sK0,X0) )
    | ~ spl9_5 ),
    inference(subsumption_resolution,[],[f109,f63]) ).

fof(f109,plain,
    ( ! [X0,X1] :
        ( ~ in(ordered_pair(sK6(sK0,X0),X1),sK0)
        | ~ in(ordered_pair(X1,sK8(sK0,X0)),sK0)
        | is_transitive_in(sK0,X0)
        | ~ relation(sK0) )
    | ~ spl9_5 ),
    inference(resolution,[],[f105,f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ~ in(ordered_pair(sK6(X0,X1),sK8(X0,X1)),X0)
      | is_transitive_in(X0,X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f105,plain,
    ( ! [X6,X4,X5] :
        ( in(ordered_pair(X4,X6),sK0)
        | ~ in(ordered_pair(X4,X5),sK0)
        | ~ in(ordered_pair(X5,X6),sK0) )
    | ~ spl9_5 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f106,plain,
    ( spl9_1
    | spl9_5 ),
    inference(avatar_split_clause,[],[f64,f104,f85]) ).

fof(f64,plain,
    ! [X6,X4,X5] :
      ( in(ordered_pair(X4,X6),sK0)
      | ~ in(ordered_pair(X5,X6),sK0)
      | ~ in(ordered_pair(X4,X5),sK0)
      | transitive(sK0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f102,plain,
    ( ~ spl9_1
    | spl9_4 ),
    inference(avatar_split_clause,[],[f65,f99,f85]) ).

fof(f65,plain,
    ( in(ordered_pair(sK1,sK2),sK0)
    | ~ transitive(sK0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f97,plain,
    ( ~ spl9_1
    | spl9_3 ),
    inference(avatar_split_clause,[],[f66,f94,f85]) ).

fof(f66,plain,
    ( in(ordered_pair(sK2,sK3),sK0)
    | ~ transitive(sK0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f92,plain,
    ( ~ spl9_1
    | ~ spl9_2 ),
    inference(avatar_split_clause,[],[f67,f89,f85]) ).

fof(f67,plain,
    ( ~ in(ordered_pair(sK1,sK3),sK0)
    | ~ transitive(sK0) ),
    inference(cnf_transformation,[],[f53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SEU240+1 : TPTP v8.2.0. Released v3.3.0.
% 0.11/0.12  % 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
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sun May 19 17:27:38 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.34  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/benchmark/theBenchmark.p
% 0.59/0.76  % (5991)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 theBenchmark for (2995ds/34Mi)
% 0.59/0.76  % (5994)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.59/0.76  % (5992)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 theBenchmark for (2995ds/51Mi)
% 0.59/0.76  % (5995)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 theBenchmark for (2995ds/34Mi)
% 0.59/0.76  % (5996)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.59/0.76  % (5997)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 theBenchmark for (2995ds/83Mi)
% 0.59/0.76  % (5998)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.59/0.76  % (5993)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.59/0.76  % (5994)Refutation not found, incomplete strategy% (5994)------------------------------
% 0.59/0.76  % (5994)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (5994)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (5994)Memory used [KB]: 976
% 0.59/0.76  % (5994)Time elapsed: 0.003 s
% 0.59/0.76  % (5994)Instructions burned: 2 (million)
% 0.59/0.76  % (5994)------------------------------
% 0.59/0.76  % (5994)------------------------------
% 0.59/0.76  % (5996)First to succeed.
% 0.59/0.76  % (5998)Also succeeded, but the first one will report.
% 0.59/0.76  % (5997)Also succeeded, but the first one will report.
% 0.59/0.76  % (5996)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5990"
% 0.59/0.76  % (5991)Also succeeded, but the first one will report.
% 0.59/0.76  % (5996)Refutation found. Thanks to Tanya!
% 0.59/0.76  % SZS status Theorem for theBenchmark
% 0.59/0.76  % SZS output start Proof for theBenchmark
% See solution above
% 0.59/0.76  % (5996)------------------------------
% 0.59/0.76  % (5996)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (5996)Termination reason: Refutation
% 0.59/0.76  
% 0.59/0.76  % (5996)Memory used [KB]: 1076
% 0.59/0.76  % (5996)Time elapsed: 0.006 s
% 0.59/0.76  % (5996)Instructions burned: 8 (million)
% 0.59/0.76  % (5990)Success in time 0.415 s
% 0.59/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------