TSTP Solution File: SEU201+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU201+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:27:20 EDT 2022

% Result   : Theorem 1.42s 0.57s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  104 (   7 unt;   0 def)
%            Number of atoms       :  462 (  50 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  594 ( 236   ~; 249   |;  75   &)
%                                         (  18 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   4 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   2 con; 0-3 aty)
%            Number of variables   :  263 ( 231   !;  32   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f675,plain,
    $false,
    inference(avatar_sat_refutation,[],[f276,f379,f393,f397,f398,f674]) ).

fof(f674,plain,
    ( spl17_3
    | ~ spl17_4
    | ~ spl17_5 ),
    inference(avatar_contradiction_clause,[],[f673]) ).

fof(f673,plain,
    ( $false
    | spl17_3
    | ~ spl17_4
    | ~ spl17_5 ),
    inference(subsumption_resolution,[],[f672,f275]) ).

fof(f275,plain,
    ( in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),sK0)
    | ~ spl17_4 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f273,plain,
    ( spl17_4
  <=> in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).

fof(f672,plain,
    ( ~ in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),sK0)
    | spl17_3
    | ~ spl17_5 ),
    inference(subsumption_resolution,[],[f671,f148]) ).

fof(f148,plain,
    relation(sK1),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ( set_intersection2(relation_rng(sK1),sK0) != relation_rng(relation_rng_restriction(sK0,sK1))
    & relation(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f79,f95]) ).

fof(f95,plain,
    ( ? [X0,X1] :
        ( relation_rng(relation_rng_restriction(X0,X1)) != set_intersection2(relation_rng(X1),X0)
        & relation(X1) )
   => ( set_intersection2(relation_rng(sK1),sK0) != relation_rng(relation_rng_restriction(sK0,sK1))
      & relation(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f79,plain,
    ? [X0,X1] :
      ( relation_rng(relation_rng_restriction(X0,X1)) != set_intersection2(relation_rng(X1),X0)
      & relation(X1) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,negated_conjecture,
    ~ ! [X1,X0] :
        ( relation(X1)
       => relation_rng(relation_rng_restriction(X0,X1)) = set_intersection2(relation_rng(X1),X0) ),
    inference(negated_conjecture,[],[f40]) ).

fof(f40,conjecture,
    ! [X1,X0] :
      ( relation(X1)
     => relation_rng(relation_rng_restriction(X0,X1)) = set_intersection2(relation_rng(X1),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t119_relat_1) ).

fof(f671,plain,
    ( ~ relation(sK1)
    | ~ in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),sK0)
    | spl17_3
    | ~ spl17_5 ),
    inference(subsumption_resolution,[],[f668,f293]) ).

fof(f293,plain,
    ( in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),relation_rng(sK1))
    | ~ spl17_5 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f292,plain,
    ( spl17_5
  <=> in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),relation_rng(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).

fof(f668,plain,
    ( ~ in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),relation_rng(sK1))
    | ~ relation(sK1)
    | ~ in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),sK0)
    | spl17_3 ),
    inference(resolution,[],[f406,f270]) ).

fof(f270,plain,
    ( ~ in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),relation_rng(relation_rng_restriction(sK0,sK1)))
    | spl17_3 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f269,plain,
    ( spl17_3
  <=> in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),relation_rng(relation_rng_restriction(sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).

fof(f406,plain,
    ! [X2,X0,X1] :
      ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
      | ~ relation(X2)
      | ~ in(X0,relation_rng(X2))
      | ~ in(X0,X1) ),
    inference(duplicate_literal_removal,[],[f403]) ).

fof(f403,plain,
    ! [X2,X0,X1] :
      ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
      | ~ relation(X2)
      | ~ in(X0,X1)
      | ~ relation(X2)
      | ~ in(X0,relation_rng(X2)) ),
    inference(resolution,[],[f310,f232]) ).

fof(f232,plain,
    ! [X2,X0] :
      ( in(unordered_pair(unordered_pair(sK12(X0,X2),X2),singleton(sK12(X0,X2))),X0)
      | ~ in(X2,relation_rng(X0))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f220]) ).

fof(f220,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | in(unordered_pair(unordered_pair(sK12(X0,X2),X2),singleton(sK12(X0,X2))),X0)
      | ~ in(X2,X1)
      | relation_rng(X0) != X1 ),
    inference(definition_unfolding,[],[f202,f167]) ).

fof(f167,plain,
    ! [X0,X1] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).

fof(f202,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | in(ordered_pair(sK12(X0,X2),X2),X0)
      | ~ in(X2,X1)
      | relation_rng(X0) != X1 ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
                & ( in(ordered_pair(sK12(X0,X2),X2),X0)
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 )
          & ( relation_rng(X0) = X1
            | ( ( ! [X6] : ~ in(ordered_pair(X6,sK13(X0,X1)),X0)
                | ~ in(sK13(X0,X1),X1) )
              & ( in(ordered_pair(sK14(X0,X1),sK13(X0,X1)),X0)
                | in(sK13(X0,X1),X1) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14])],[f135,f138,f137,f136]) ).

fof(f136,plain,
    ! [X0,X2] :
      ( ? [X4] : in(ordered_pair(X4,X2),X0)
     => in(ordered_pair(sK12(X0,X2),X2),X0) ),
    introduced(choice_axiom,[]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( ( ! [X6] : ~ in(ordered_pair(X6,X5),X0)
            | ~ in(X5,X1) )
          & ( ? [X7] : in(ordered_pair(X7,X5),X0)
            | in(X5,X1) ) )
     => ( ( ! [X6] : ~ in(ordered_pair(X6,sK13(X0,X1)),X0)
          | ~ in(sK13(X0,X1),X1) )
        & ( ? [X7] : in(ordered_pair(X7,sK13(X0,X1)),X0)
          | in(sK13(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( ? [X7] : in(ordered_pair(X7,sK13(X0,X1)),X0)
     => in(ordered_pair(sK14(X0,X1),sK13(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f135,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
                & ( ? [X4] : in(ordered_pair(X4,X2),X0)
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 )
          & ( relation_rng(X0) = X1
            | ? [X5] :
                ( ( ! [X6] : ~ in(ordered_pair(X6,X5),X0)
                  | ~ in(X5,X1) )
                & ( ? [X7] : in(ordered_pair(X7,X5),X0)
                  | in(X5,X1) ) ) ) ) ),
    inference(rectify,[],[f134]) ).

fof(f134,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [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_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | in(X2,X1) ) ) ) ) ),
    inference(nnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) )
        <=> relation_rng(X0) = X1 ) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) )
        <=> relation_rng(X0) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).

fof(f310,plain,
    ! [X10,X11,X8,X9] :
      ( ~ in(unordered_pair(unordered_pair(X11,X9),singleton(X11)),X8)
      | ~ in(X9,X10)
      | ~ relation(X8)
      | in(X9,relation_rng(relation_rng_restriction(X10,X8))) ),
    inference(subsumption_resolution,[],[f305,f147]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( relation(relation_rng_restriction(X0,X1))
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( relation(relation_rng_restriction(X0,X1))
      | ~ relation(X1) ),
    inference(rectify,[],[f84]) ).

fof(f84,plain,
    ! [X1,X0] :
      ( relation(relation_rng_restriction(X1,X0))
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( relation(X0)
     => relation(relation_rng_restriction(X1,X0)) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X1,X0] :
      ( relation(X1)
     => relation(relation_rng_restriction(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).

fof(f305,plain,
    ! [X10,X11,X8,X9] :
      ( ~ in(unordered_pair(unordered_pair(X11,X9),singleton(X11)),X8)
      | ~ in(X9,X10)
      | in(X9,relation_rng(relation_rng_restriction(X10,X8)))
      | ~ relation(X8)
      | ~ relation(relation_rng_restriction(X10,X8)) ),
    inference(resolution,[],[f299,f231]) ).

fof(f231,plain,
    ! [X2,X3,X0] :
      ( ~ in(unordered_pair(unordered_pair(X3,X2),singleton(X3)),X0)
      | ~ relation(X0)
      | in(X2,relation_rng(X0)) ),
    inference(equality_resolution,[],[f219]) ).

fof(f219,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X0)
      | in(X2,X1)
      | ~ in(unordered_pair(unordered_pair(X3,X2),singleton(X3)),X0)
      | relation_rng(X0) != X1 ),
    inference(definition_unfolding,[],[f203,f167]) ).

fof(f203,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X0)
      | in(X2,X1)
      | ~ in(ordered_pair(X3,X2),X0)
      | relation_rng(X0) != X1 ),
    inference(cnf_transformation,[],[f139]) ).

fof(f299,plain,
    ! [X3,X0,X1,X4] :
      ( in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_rng_restriction(X0,X1))
      | ~ relation(X1)
      | ~ in(X4,X0)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1) ),
    inference(subsumption_resolution,[],[f230,f147]) ).

fof(f230,plain,
    ! [X3,X0,X1,X4] :
      ( in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_rng_restriction(X0,X1))
      | ~ relation(X1)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1)
      | ~ in(X4,X0)
      | ~ relation(relation_rng_restriction(X0,X1)) ),
    inference(equality_resolution,[],[f215]) ).

fof(f215,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X2)
      | in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
      | ~ in(X4,X0)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1)
      | relation_rng_restriction(X0,X1) != X2
      | ~ relation(X1) ),
    inference(definition_unfolding,[],[f192,f167,f167]) ).

fof(f192,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X2)
      | in(ordered_pair(X3,X4),X2)
      | ~ in(X4,X0)
      | ~ in(ordered_pair(X3,X4),X1)
      | relation_rng_restriction(X0,X1) != X2
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ relation(X2)
          | ( ( ! [X3,X4] :
                  ( ( ( in(X4,X0)
                      & in(ordered_pair(X3,X4),X1) )
                    | ~ in(ordered_pair(X3,X4),X2) )
                  & ( in(ordered_pair(X3,X4),X2)
                    | ~ in(X4,X0)
                    | ~ in(ordered_pair(X3,X4),X1) ) )
              | relation_rng_restriction(X0,X1) != X2 )
            & ( relation_rng_restriction(X0,X1) = X2
              | ( ( ~ in(ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2)),X2)
                  | ~ in(sK10(X0,X1,X2),X0)
                  | ~ in(ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2)),X1) )
                & ( in(ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2)),X2)
                  | ( in(sK10(X0,X1,X2),X0)
                    & in(ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2)),X1) ) ) ) ) ) )
      | ~ relation(X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f128,f129]) ).

fof(f129,plain,
    ! [X0,X1,X2] :
      ( ? [X5,X6] :
          ( ( ~ in(ordered_pair(X5,X6),X2)
            | ~ in(X6,X0)
            | ~ in(ordered_pair(X5,X6),X1) )
          & ( in(ordered_pair(X5,X6),X2)
            | ( in(X6,X0)
              & in(ordered_pair(X5,X6),X1) ) ) )
     => ( ( ~ in(ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2)),X2)
          | ~ in(sK10(X0,X1,X2),X0)
          | ~ in(ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2)),X1) )
        & ( in(ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2)),X2)
          | ( in(sK10(X0,X1,X2),X0)
            & in(ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2)),X1) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ relation(X2)
          | ( ( ! [X3,X4] :
                  ( ( ( in(X4,X0)
                      & in(ordered_pair(X3,X4),X1) )
                    | ~ in(ordered_pair(X3,X4),X2) )
                  & ( in(ordered_pair(X3,X4),X2)
                    | ~ in(X4,X0)
                    | ~ in(ordered_pair(X3,X4),X1) ) )
              | relation_rng_restriction(X0,X1) != X2 )
            & ( relation_rng_restriction(X0,X1) = X2
              | ? [X5,X6] :
                  ( ( ~ in(ordered_pair(X5,X6),X2)
                    | ~ in(X6,X0)
                    | ~ in(ordered_pair(X5,X6),X1) )
                  & ( in(ordered_pair(X5,X6),X2)
                    | ( in(X6,X0)
                      & in(ordered_pair(X5,X6),X1) ) ) ) ) ) )
      | ~ relation(X1) ),
    inference(rectify,[],[f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ relation(X2)
          | ( ( ! [X3,X4] :
                  ( ( ( in(X4,X0)
                      & in(ordered_pair(X3,X4),X1) )
                    | ~ in(ordered_pair(X3,X4),X2) )
                  & ( in(ordered_pair(X3,X4),X2)
                    | ~ in(X4,X0)
                    | ~ in(ordered_pair(X3,X4),X1) ) )
              | relation_rng_restriction(X0,X1) != X2 )
            & ( relation_rng_restriction(X0,X1) = X2
              | ? [X3,X4] :
                  ( ( ~ in(ordered_pair(X3,X4),X2)
                    | ~ in(X4,X0)
                    | ~ in(ordered_pair(X3,X4),X1) )
                  & ( in(ordered_pair(X3,X4),X2)
                    | ( in(X4,X0)
                      & in(ordered_pair(X3,X4),X1) ) ) ) ) ) )
      | ~ relation(X1) ),
    inference(flattening,[],[f126]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ relation(X2)
          | ( ( ! [X3,X4] :
                  ( ( ( in(X4,X0)
                      & in(ordered_pair(X3,X4),X1) )
                    | ~ in(ordered_pair(X3,X4),X2) )
                  & ( in(ordered_pair(X3,X4),X2)
                    | ~ in(X4,X0)
                    | ~ in(ordered_pair(X3,X4),X1) ) )
              | relation_rng_restriction(X0,X1) != X2 )
            & ( relation_rng_restriction(X0,X1) = X2
              | ? [X3,X4] :
                  ( ( ~ in(ordered_pair(X3,X4),X2)
                    | ~ in(X4,X0)
                    | ~ in(ordered_pair(X3,X4),X1) )
                  & ( in(ordered_pair(X3,X4),X2)
                    | ( in(X4,X0)
                      & in(ordered_pair(X3,X4),X1) ) ) ) ) ) )
      | ~ relation(X1) ),
    inference(nnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ relation(X2)
          | ( ! [X3,X4] :
                ( ( in(X4,X0)
                  & in(ordered_pair(X3,X4),X1) )
              <=> in(ordered_pair(X3,X4),X2) )
          <=> relation_rng_restriction(X0,X1) = X2 ) )
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => ! [X2] :
          ( relation(X2)
         => ( ! [X3,X4] :
                ( ( in(X4,X0)
                  & in(ordered_pair(X3,X4),X1) )
              <=> in(ordered_pair(X3,X4),X2) )
          <=> relation_rng_restriction(X0,X1) = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_relat_1) ).

fof(f398,plain,
    ( spl17_5
    | spl17_3 ),
    inference(avatar_split_clause,[],[f277,f269,f292]) ).

fof(f277,plain,
    ( in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),relation_rng(relation_rng_restriction(sK0,sK1)))
    | in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),relation_rng(sK1)) ),
    inference(resolution,[],[f242,f235]) ).

fof(f235,plain,
    ~ sQ16_eqProxy(set_intersection2(relation_rng(sK1),sK0),relation_rng(relation_rng_restriction(sK0,sK1))),
    inference(equality_proxy_replacement,[],[f149,f233]) ).

fof(f233,plain,
    ! [X0,X1] :
      ( sQ16_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ16_eqProxy])]) ).

fof(f149,plain,
    set_intersection2(relation_rng(sK1),sK0) != relation_rng(relation_rng_restriction(sK0,sK1)),
    inference(cnf_transformation,[],[f96]) ).

fof(f242,plain,
    ! [X2,X0,X1] :
      ( sQ16_eqProxy(set_intersection2(X0,X1),X2)
      | in(sK7(X0,X1,X2),X0)
      | in(sK7(X0,X1,X2),X2) ),
    inference(equality_proxy_replacement,[],[f180,f233]) ).

fof(f180,plain,
    ! [X2,X0,X1] :
      ( set_intersection2(X0,X1) = X2
      | in(sK7(X0,X1,X2),X0)
      | in(sK7(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) = X2
        | ( ( ~ in(sK7(X0,X1,X2),X1)
            | ~ in(sK7(X0,X1,X2),X0)
            | ~ in(sK7(X0,X1,X2),X2) )
          & ( ( in(sK7(X0,X1,X2),X1)
              & in(sK7(X0,X1,X2),X0) )
            | in(sK7(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ~ in(X4,X1)
              | ~ in(X4,X0) )
            & ( ( in(X4,X1)
                & in(X4,X0) )
              | ~ in(X4,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f118,f119]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ in(X3,X1)
            | ~ in(X3,X0)
            | ~ in(X3,X2) )
          & ( ( in(X3,X1)
              & in(X3,X0) )
            | in(X3,X2) ) )
     => ( ( ~ in(sK7(X0,X1,X2),X1)
          | ~ in(sK7(X0,X1,X2),X0)
          | ~ in(sK7(X0,X1,X2),X2) )
        & ( ( in(sK7(X0,X1,X2),X1)
            & in(sK7(X0,X1,X2),X0) )
          | in(sK7(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f118,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(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_intersection2(X0,X1) != X2 ) ),
    inference(rectify,[],[f117]) ).

fof(f117,plain,
    ! [X2,X0,X1] :
      ( ( set_intersection2(X2,X0) = X1
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | ~ in(X3,X2)
              | ~ in(X3,X1) )
            & ( ( in(X3,X0)
                & in(X3,X2) )
              | in(X3,X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( in(X3,X0)
                & in(X3,X2) )
              | ~ in(X3,X1) ) )
        | set_intersection2(X2,X0) != X1 ) ),
    inference(flattening,[],[f116]) ).

fof(f116,plain,
    ! [X2,X0,X1] :
      ( ( set_intersection2(X2,X0) = X1
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | ~ in(X3,X2)
              | ~ in(X3,X1) )
            & ( ( in(X3,X0)
                & in(X3,X2) )
              | in(X3,X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( in(X3,X0)
                & in(X3,X2) )
              | ~ in(X3,X1) ) )
        | set_intersection2(X2,X0) != X1 ) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X2,X0,X1] :
      ( set_intersection2(X2,X0) = X1
    <=> ! [X3] :
          ( in(X3,X1)
        <=> ( in(X3,X0)
            & in(X3,X2) ) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X1,X2,X0] :
      ( ! [X3] :
          ( ( in(X3,X0)
            & in(X3,X1) )
        <=> in(X3,X2) )
    <=> set_intersection2(X0,X1) = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).

fof(f397,plain,
    ( ~ spl17_5
    | ~ spl17_3
    | ~ spl17_4 ),
    inference(avatar_split_clause,[],[f396,f273,f269,f292]) ).

fof(f396,plain,
    ( ~ in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),relation_rng(relation_rng_restriction(sK0,sK1)))
    | ~ in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),relation_rng(sK1))
    | ~ spl17_4 ),
    inference(subsumption_resolution,[],[f289,f275]) ).

fof(f289,plain,
    ( ~ in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),relation_rng(sK1))
    | ~ in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),sK0)
    | ~ in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),relation_rng(relation_rng_restriction(sK0,sK1))) ),
    inference(resolution,[],[f240,f235]) ).

fof(f240,plain,
    ! [X2,X0,X1] :
      ( sQ16_eqProxy(set_intersection2(X0,X1),X2)
      | ~ in(sK7(X0,X1,X2),X1)
      | ~ in(sK7(X0,X1,X2),X2)
      | ~ in(sK7(X0,X1,X2),X0) ),
    inference(equality_proxy_replacement,[],[f182,f233]) ).

fof(f182,plain,
    ! [X2,X0,X1] :
      ( set_intersection2(X0,X1) = X2
      | ~ in(sK7(X0,X1,X2),X1)
      | ~ in(sK7(X0,X1,X2),X0)
      | ~ in(sK7(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f393,plain,
    ( ~ spl17_3
    | spl17_5 ),
    inference(avatar_contradiction_clause,[],[f392]) ).

fof(f392,plain,
    ( $false
    | ~ spl17_3
    | spl17_5 ),
    inference(subsumption_resolution,[],[f391,f148]) ).

fof(f391,plain,
    ( ~ relation(sK1)
    | ~ spl17_3
    | spl17_5 ),
    inference(resolution,[],[f390,f197]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t118_relat_1) ).

fof(f390,plain,
    ( ~ subset(relation_rng(relation_rng_restriction(sK0,sK1)),relation_rng(sK1))
    | ~ spl17_3
    | spl17_5 ),
    inference(resolution,[],[f294,f353]) ).

fof(f353,plain,
    ( ! [X15] :
        ( in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),X15)
        | ~ subset(relation_rng(relation_rng_restriction(sK0,sK1)),X15) )
    | ~ spl17_3 ),
    inference(resolution,[],[f153,f271]) ).

fof(f271,plain,
    ( in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),relation_rng(relation_rng_restriction(sK0,sK1)))
    | ~ spl17_3 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f153,plain,
    ! [X2,X0,X1] :
      ( ~ in(X2,X0)
      | ~ subset(X0,X1)
      | in(X2,X1) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ( ~ in(sK3(X0,X1),X1)
          & in(sK3(X0,X1),X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f100,f101]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ~ in(X3,X1)
          & in(X3,X0) )
     => ( ~ in(sK3(X0,X1),X1)
        & in(sK3(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ? [X3] :
            ( ~ in(X3,X1)
            & in(X3,X0) ) ) ),
    inference(rectify,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) ) ),
    inference(nnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) )
    <=> subset(X0,X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X1,X0] :
      ( ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) )
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

fof(f294,plain,
    ( ~ in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),relation_rng(sK1))
    | spl17_5 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f379,plain,
    ( spl17_4
    | ~ spl17_3 ),
    inference(avatar_split_clause,[],[f376,f269,f273]) ).

fof(f376,plain,
    ( in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),sK0)
    | ~ spl17_3 ),
    inference(subsumption_resolution,[],[f374,f148]) ).

fof(f374,plain,
    ( ~ relation(sK1)
    | in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),sK0)
    | ~ spl17_3 ),
    inference(resolution,[],[f284,f271]) ).

fof(f284,plain,
    ! [X2,X0,X1] :
      ( ~ in(X1,relation_rng(relation_rng_restriction(X2,X0)))
      | ~ relation(X0)
      | in(X1,X2) ),
    inference(subsumption_resolution,[],[f283,f147]) ).

fof(f283,plain,
    ! [X2,X0,X1] :
      ( in(X1,X2)
      | ~ in(X1,relation_rng(relation_rng_restriction(X2,X0)))
      | ~ relation(X0)
      | ~ relation(relation_rng_restriction(X2,X0)) ),
    inference(resolution,[],[f282,f232]) ).

fof(f282,plain,
    ! [X3,X0,X1,X4] :
      ( ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_rng_restriction(X0,X1))
      | ~ relation(X1)
      | in(X4,X0) ),
    inference(subsumption_resolution,[],[f228,f147]) ).

fof(f228,plain,
    ! [X3,X0,X1,X4] :
      ( ~ relation(relation_rng_restriction(X0,X1))
      | in(X4,X0)
      | ~ relation(X1)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_rng_restriction(X0,X1)) ),
    inference(equality_resolution,[],[f213]) ).

fof(f213,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X2)
      | in(X4,X0)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
      | relation_rng_restriction(X0,X1) != X2
      | ~ relation(X1) ),
    inference(definition_unfolding,[],[f194,f167]) ).

fof(f194,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X2)
      | in(X4,X0)
      | ~ in(ordered_pair(X3,X4),X2)
      | relation_rng_restriction(X0,X1) != X2
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f276,plain,
    ( spl17_3
    | spl17_4 ),
    inference(avatar_split_clause,[],[f267,f273,f269]) ).

fof(f267,plain,
    ( in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),sK0)
    | in(sK7(relation_rng(sK1),sK0,relation_rng(relation_rng_restriction(sK0,sK1))),relation_rng(relation_rng_restriction(sK0,sK1))) ),
    inference(resolution,[],[f241,f235]) ).

fof(f241,plain,
    ! [X2,X0,X1] :
      ( sQ16_eqProxy(set_intersection2(X0,X1),X2)
      | in(sK7(X0,X1,X2),X2)
      | in(sK7(X0,X1,X2),X1) ),
    inference(equality_proxy_replacement,[],[f181,f233]) ).

fof(f181,plain,
    ! [X2,X0,X1] :
      ( set_intersection2(X0,X1) = X2
      | in(sK7(X0,X1,X2),X1)
      | in(sK7(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f120]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SEU201+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35  % Computer : n024.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   : Tue Aug 30 14:52:19 EDT 2022
% 0.15/0.36  % CPUTime    : 
% 0.22/0.51  % (21203)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.22/0.51  % (21223)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.51  % (21202)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.23/0.52  % (21214)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.23/0.52  % (21215)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.23/0.52  % (21214)Instruction limit reached!
% 1.23/0.52  % (21214)------------------------------
% 1.23/0.52  % (21214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.52  % (21212)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.23/0.53  % (21203)Instruction limit reached!
% 1.23/0.53  % (21203)------------------------------
% 1.23/0.53  % (21203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.53  % (21228)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.23/0.53  % (21209)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.23/0.53  % (21200)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.23/0.53  % (21214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.53  % (21214)Termination reason: Unknown
% 1.23/0.53  % (21214)Termination phase: Saturation
% 1.23/0.53  
% 1.23/0.53  % (21214)Memory used [KB]: 6140
% 1.23/0.53  % (21214)Time elapsed: 0.101 s
% 1.23/0.53  % (21214)Instructions burned: 7 (million)
% 1.23/0.53  % (21214)------------------------------
% 1.23/0.53  % (21214)------------------------------
% 1.23/0.53  % (21200)Refutation not found, incomplete strategy% (21200)------------------------------
% 1.23/0.53  % (21200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.53  % (21200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.53  % (21200)Termination reason: Refutation not found, incomplete strategy
% 1.23/0.53  
% 1.23/0.53  % (21200)Memory used [KB]: 6012
% 1.23/0.53  % (21200)Time elapsed: 0.117 s
% 1.23/0.53  % (21200)Instructions burned: 4 (million)
% 1.23/0.53  % (21200)------------------------------
% 1.23/0.53  % (21200)------------------------------
% 1.23/0.54  % (21208)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.23/0.54  % (21209)Refutation not found, incomplete strategy% (21209)------------------------------
% 1.23/0.54  % (21209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.54  % (21205)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.23/0.54  % (21206)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.42/0.54  % (21209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54  % (21209)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.54  
% 1.42/0.54  % (21209)Memory used [KB]: 6140
% 1.42/0.54  % (21209)Time elapsed: 0.122 s
% 1.42/0.54  % (21209)Instructions burned: 8 (million)
% 1.42/0.54  % (21209)------------------------------
% 1.42/0.54  % (21209)------------------------------
% 1.42/0.54  % (21222)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.42/0.54  % (21203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54  % (21203)Termination reason: Unknown
% 1.42/0.54  % (21203)Termination phase: Saturation
% 1.42/0.54  
% 1.42/0.54  % (21203)Memory used [KB]: 6140
% 1.42/0.54  % (21203)Time elapsed: 0.109 s
% 1.42/0.54  % (21203)Instructions burned: 13 (million)
% 1.42/0.54  % (21203)------------------------------
% 1.42/0.54  % (21203)------------------------------
% 1.42/0.54  % (21225)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.54  % (21218)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.42/0.54  % (21199)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.42/0.55  % (21220)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.55  % (21226)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.42/0.55  % (21224)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.42/0.55  % (21217)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.42/0.55  % (21217)Instruction limit reached!
% 1.42/0.55  % (21217)------------------------------
% 1.42/0.55  % (21217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55  % (21217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55  % (21217)Termination reason: Unknown
% 1.42/0.55  % (21217)Termination phase: Saturation
% 1.42/0.55  
% 1.42/0.55  % (21217)Memory used [KB]: 1407
% 1.42/0.55  % (21217)Time elapsed: 0.003 s
% 1.42/0.55  % (21217)Instructions burned: 2 (million)
% 1.42/0.55  % (21217)------------------------------
% 1.42/0.55  % (21217)------------------------------
% 1.42/0.56  % (21201)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.42/0.56  % (21210)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.42/0.56  % (21216)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.42/0.56  % (21201)Instruction limit reached!
% 1.42/0.56  % (21201)------------------------------
% 1.42/0.56  % (21201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (21201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (21201)Termination reason: Unknown
% 1.42/0.56  % (21201)Termination phase: Saturation
% 1.42/0.56  
% 1.42/0.56  % (21201)Memory used [KB]: 1535
% 1.42/0.56  % (21201)Time elapsed: 0.003 s
% 1.42/0.56  % (21201)Instructions burned: 4 (million)
% 1.42/0.56  % (21201)------------------------------
% 1.42/0.56  % (21201)------------------------------
% 1.42/0.56  % (21216)Instruction limit reached!
% 1.42/0.56  % (21216)------------------------------
% 1.42/0.56  % (21216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (21216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (21216)Termination reason: Unknown
% 1.42/0.56  % (21216)Termination phase: Function definition elimination
% 1.42/0.56  
% 1.42/0.56  % (21216)Memory used [KB]: 1535
% 1.42/0.56  % (21216)Time elapsed: 0.003 s
% 1.42/0.56  % (21216)Instructions burned: 3 (million)
% 1.42/0.56  % (21216)------------------------------
% 1.42/0.56  % (21216)------------------------------
% 1.42/0.56  % (21204)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.42/0.56  % (21207)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.42/0.56  % (21210)Instruction limit reached!
% 1.42/0.56  % (21210)------------------------------
% 1.42/0.56  % (21210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (21210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (21210)Termination reason: Unknown
% 1.42/0.56  % (21210)Termination phase: Saturation
% 1.42/0.56  
% 1.42/0.56  % (21210)Memory used [KB]: 6140
% 1.42/0.56  % (21210)Time elapsed: 0.112 s
% 1.42/0.56  % (21210)Instructions burned: 8 (million)
% 1.42/0.56  % (21210)------------------------------
% 1.42/0.56  % (21210)------------------------------
% 1.42/0.57  % (21227)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.42/0.57  % (21218)Instruction limit reached!
% 1.42/0.57  % (21218)------------------------------
% 1.42/0.57  % (21218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57  % (21218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.57  % (21218)Termination reason: Unknown
% 1.42/0.57  % (21218)Termination phase: Saturation
% 1.42/0.57  
% 1.42/0.57  % (21218)Memory used [KB]: 6268
% 1.42/0.57  % (21218)Time elapsed: 0.110 s
% 1.42/0.57  % (21218)Instructions burned: 12 (million)
% 1.42/0.57  % (21218)------------------------------
% 1.42/0.57  % (21218)------------------------------
% 1.42/0.57  % (21223)First to succeed.
% 1.42/0.57  % (21228)Instruction limit reached!
% 1.42/0.57  % (21228)------------------------------
% 1.42/0.57  % (21228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57  % (21228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.57  % (21228)Termination reason: Unknown
% 1.42/0.57  % (21228)Termination phase: Saturation
% 1.42/0.57  
% 1.42/0.57  % (21228)Memory used [KB]: 6268
% 1.42/0.57  % (21228)Time elapsed: 0.157 s
% 1.42/0.57  % (21228)Instructions burned: 24 (million)
% 1.42/0.57  % (21228)------------------------------
% 1.42/0.57  % (21228)------------------------------
% 1.42/0.57  % (21223)Refutation found. Thanks to Tanya!
% 1.42/0.57  % SZS status Theorem for theBenchmark
% 1.42/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.57  % (21223)------------------------------
% 1.42/0.57  % (21223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57  % (21223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.57  % (21223)Termination reason: Refutation
% 1.42/0.57  
% 1.42/0.57  % (21223)Memory used [KB]: 6268
% 1.42/0.57  % (21223)Time elapsed: 0.137 s
% 1.42/0.57  % (21223)Instructions burned: 22 (million)
% 1.42/0.57  % (21223)------------------------------
% 1.42/0.57  % (21223)------------------------------
% 1.42/0.57  % (21198)Success in time 0.199 s
%------------------------------------------------------------------------------