TSTP Solution File: SEU046+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU046+1 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Tue May 21 03:44:33 EDT 2024

% Result   : Theorem 0.81s 0.94s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   68 (   6 unt;   0 def)
%            Number of atoms       :  314 (  27 equ)
%            Maximal formula atoms :   22 (   4 avg)
%            Number of connectives :  388 ( 142   ~; 143   |;  72   &)
%                                         (  15 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-3 aty)
%            Number of variables   :  114 (  97   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f315,plain,
    $false,
    inference(avatar_sat_refutation,[],[f201,f225,f253,f266,f313,f314]) ).

fof(f314,plain,
    ( spl17_1
    | ~ spl17_5 ),
    inference(avatar_split_clause,[],[f287,f222,f194]) ).

fof(f194,plain,
    ( spl17_1
  <=> subset(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).

fof(f222,plain,
    ( spl17_5
  <=> in(sK0(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15)),relation_dom(sK15)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).

fof(f287,plain,
    ( subset(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15))
    | ~ spl17_5 ),
    inference(resolution,[],[f224,f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ~ in(sK0(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK0(X0,X1),X1)
          & in(sK0(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f77,f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK0(X0,X1),X1)
        & in(sK0(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f224,plain,
    ( in(sK0(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15)),relation_dom(sK15))
    | ~ spl17_5 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f313,plain,
    spl17_2,
    inference(avatar_contradiction_clause,[],[f312]) ).

fof(f312,plain,
    ( $false
    | spl17_2 ),
    inference(subsumption_resolution,[],[f309,f173]) ).

fof(f173,plain,
    relation(sK15),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ( ( ~ subset(relation_rng(relation_rng_restriction(sK14,sK15)),relation_rng(sK15))
      | ~ subset(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15)) )
    & function(sK15)
    & relation(sK15) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f74,f109]) ).

fof(f109,plain,
    ( ? [X0,X1] :
        ( ( ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
          | ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) )
        & function(X1)
        & relation(X1) )
   => ( ( ~ subset(relation_rng(relation_rng_restriction(sK14,sK15)),relation_rng(sK15))
        | ~ subset(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15)) )
      & function(sK15)
      & relation(sK15) ) ),
    introduced(choice_axiom,[]) ).

fof(f74,plain,
    ? [X0,X1] :
      ( ( ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
        | ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) )
      & function(X1)
      & relation(X1) ),
    inference(flattening,[],[f73]) ).

fof(f73,plain,
    ? [X0,X1] :
      ( ( ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
        | ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) )
      & function(X1)
      & relation(X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( function(X1)
          & relation(X1) )
       => ( subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
          & subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ) ),
    inference(negated_conjecture,[],[f37]) ).

fof(f37,conjecture,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ( subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
        & subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t89_funct_1) ).

fof(f309,plain,
    ( ~ relation(sK15)
    | spl17_2 ),
    inference(resolution,[],[f200,f154]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t118_relat_1) ).

fof(f200,plain,
    ( ~ subset(relation_rng(relation_rng_restriction(sK14,sK15)),relation_rng(sK15))
    | spl17_2 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f198,plain,
    ( spl17_2
  <=> subset(relation_rng(relation_rng_restriction(sK14,sK15)),relation_rng(sK15)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).

fof(f266,plain,
    spl17_4,
    inference(avatar_contradiction_clause,[],[f265]) ).

fof(f265,plain,
    ( $false
    | spl17_4 ),
    inference(subsumption_resolution,[],[f264,f173]) ).

fof(f264,plain,
    ( ~ relation(sK15)
    | spl17_4 ),
    inference(subsumption_resolution,[],[f262,f174]) ).

fof(f174,plain,
    function(sK15),
    inference(cnf_transformation,[],[f110]) ).

fof(f262,plain,
    ( ~ function(sK15)
    | ~ relation(sK15)
    | spl17_4 ),
    inference(resolution,[],[f220,f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( function(relation_rng_restriction(X0,X1))
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ( function(relation_rng_restriction(X0,X1))
        & relation(relation_rng_restriction(X0,X1)) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ( function(relation_rng_restriction(X0,X1))
        & relation(relation_rng_restriction(X0,X1)) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ( function(relation_rng_restriction(X0,X1))
        & relation(relation_rng_restriction(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_funct_1) ).

fof(f220,plain,
    ( ~ function(relation_rng_restriction(sK14,sK15))
    | spl17_4 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f218,plain,
    ( spl17_4
  <=> function(relation_rng_restriction(sK14,sK15)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).

fof(f253,plain,
    spl17_3,
    inference(avatar_contradiction_clause,[],[f252]) ).

fof(f252,plain,
    ( $false
    | spl17_3 ),
    inference(subsumption_resolution,[],[f247,f173]) ).

fof(f247,plain,
    ( ~ relation(sK15)
    | spl17_3 ),
    inference(resolution,[],[f216,f119]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( relation(relation_rng_restriction(X0,X1))
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( relation(relation_rng_restriction(X0,X1))
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => relation(relation_rng_restriction(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).

fof(f216,plain,
    ( ~ relation(relation_rng_restriction(sK14,sK15))
    | spl17_3 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f214,plain,
    ( spl17_3
  <=> relation(relation_rng_restriction(sK14,sK15)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).

fof(f225,plain,
    ( ~ spl17_3
    | ~ spl17_4
    | spl17_5
    | spl17_1 ),
    inference(avatar_split_clause,[],[f212,f194,f222,f218,f214]) ).

fof(f212,plain,
    ( in(sK0(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15)),relation_dom(sK15))
    | ~ function(relation_rng_restriction(sK14,sK15))
    | ~ relation(relation_rng_restriction(sK14,sK15))
    | spl17_1 ),
    inference(subsumption_resolution,[],[f211,f173]) ).

fof(f211,plain,
    ( in(sK0(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15)),relation_dom(sK15))
    | ~ relation(sK15)
    | ~ function(relation_rng_restriction(sK14,sK15))
    | ~ relation(relation_rng_restriction(sK14,sK15))
    | spl17_1 ),
    inference(subsumption_resolution,[],[f204,f174]) ).

fof(f204,plain,
    ( in(sK0(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15)),relation_dom(sK15))
    | ~ function(sK15)
    | ~ relation(sK15)
    | ~ function(relation_rng_restriction(sK14,sK15))
    | ~ relation(relation_rng_restriction(sK14,sK15))
    | spl17_1 ),
    inference(resolution,[],[f203,f180]) ).

fof(f180,plain,
    ! [X2,X0,X6] :
      ( ~ in(X6,relation_dom(relation_rng_restriction(X0,X2)))
      | in(X6,relation_dom(X2))
      | ~ function(X2)
      | ~ relation(X2)
      | ~ function(relation_rng_restriction(X0,X2))
      | ~ relation(relation_rng_restriction(X0,X2)) ),
    inference(equality_resolution,[],[f163]) ).

fof(f163,plain,
    ! [X2,X0,X1,X6] :
      ( in(X6,relation_dom(X2))
      | ~ in(X6,relation_dom(X1))
      | relation_rng_restriction(X0,X2) != X1
      | ~ function(X2)
      | ~ relation(X2)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( relation_rng_restriction(X0,X2) = X1
              | ( apply(X2,sK12(X1,X2)) != apply(X1,sK12(X1,X2))
                & in(sK12(X1,X2),relation_dom(X1)) )
              | ( ( ~ in(apply(X2,sK13(X0,X1,X2)),X0)
                  | ~ in(sK13(X0,X1,X2),relation_dom(X2))
                  | ~ in(sK13(X0,X1,X2),relation_dom(X1)) )
                & ( ( in(apply(X2,sK13(X0,X1,X2)),X0)
                    & in(sK13(X0,X1,X2),relation_dom(X2)) )
                  | in(sK13(X0,X1,X2),relation_dom(X1)) ) ) )
            & ( ( ! [X5] :
                    ( apply(X2,X5) = apply(X1,X5)
                    | ~ in(X5,relation_dom(X1)) )
                & ! [X6] :
                    ( ( in(X6,relation_dom(X1))
                      | ~ in(apply(X2,X6),X0)
                      | ~ in(X6,relation_dom(X2)) )
                    & ( ( in(apply(X2,X6),X0)
                        & in(X6,relation_dom(X2)) )
                      | ~ in(X6,relation_dom(X1)) ) ) )
              | relation_rng_restriction(X0,X2) != X1 ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f105,f107,f106]) ).

fof(f106,plain,
    ! [X1,X2] :
      ( ? [X3] :
          ( apply(X2,X3) != apply(X1,X3)
          & in(X3,relation_dom(X1)) )
     => ( apply(X2,sK12(X1,X2)) != apply(X1,sK12(X1,X2))
        & in(sK12(X1,X2),relation_dom(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f107,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( ( ~ in(apply(X2,X4),X0)
            | ~ in(X4,relation_dom(X2))
            | ~ in(X4,relation_dom(X1)) )
          & ( ( in(apply(X2,X4),X0)
              & in(X4,relation_dom(X2)) )
            | in(X4,relation_dom(X1)) ) )
     => ( ( ~ in(apply(X2,sK13(X0,X1,X2)),X0)
          | ~ in(sK13(X0,X1,X2),relation_dom(X2))
          | ~ in(sK13(X0,X1,X2),relation_dom(X1)) )
        & ( ( in(apply(X2,sK13(X0,X1,X2)),X0)
            & in(sK13(X0,X1,X2),relation_dom(X2)) )
          | in(sK13(X0,X1,X2),relation_dom(X1)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( relation_rng_restriction(X0,X2) = X1
              | ? [X3] :
                  ( apply(X2,X3) != apply(X1,X3)
                  & in(X3,relation_dom(X1)) )
              | ? [X4] :
                  ( ( ~ in(apply(X2,X4),X0)
                    | ~ in(X4,relation_dom(X2))
                    | ~ in(X4,relation_dom(X1)) )
                  & ( ( in(apply(X2,X4),X0)
                      & in(X4,relation_dom(X2)) )
                    | in(X4,relation_dom(X1)) ) ) )
            & ( ( ! [X5] :
                    ( apply(X2,X5) = apply(X1,X5)
                    | ~ in(X5,relation_dom(X1)) )
                & ! [X6] :
                    ( ( in(X6,relation_dom(X1))
                      | ~ in(apply(X2,X6),X0)
                      | ~ in(X6,relation_dom(X2)) )
                    & ( ( in(apply(X2,X6),X0)
                        & in(X6,relation_dom(X2)) )
                      | ~ in(X6,relation_dom(X1)) ) ) )
              | relation_rng_restriction(X0,X2) != X1 ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(rectify,[],[f104]) ).

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

fof(f103,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( relation_rng_restriction(X0,X2) = X1
              | ? [X3] :
                  ( apply(X2,X3) != apply(X1,X3)
                  & in(X3,relation_dom(X1)) )
              | ? [X4] :
                  ( ( ~ in(apply(X2,X4),X0)
                    | ~ in(X4,relation_dom(X2))
                    | ~ in(X4,relation_dom(X1)) )
                  & ( ( in(apply(X2,X4),X0)
                      & in(X4,relation_dom(X2)) )
                    | in(X4,relation_dom(X1)) ) ) )
            & ( ( ! [X3] :
                    ( apply(X2,X3) = apply(X1,X3)
                    | ~ in(X3,relation_dom(X1)) )
                & ! [X4] :
                    ( ( in(X4,relation_dom(X1))
                      | ~ in(apply(X2,X4),X0)
                      | ~ in(X4,relation_dom(X2)) )
                    & ( ( in(apply(X2,X4),X0)
                        & in(X4,relation_dom(X2)) )
                      | ~ in(X4,relation_dom(X1)) ) ) )
              | relation_rng_restriction(X0,X2) != X1 ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(nnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( relation_rng_restriction(X0,X2) = X1
          <=> ( ! [X3] :
                  ( apply(X2,X3) = apply(X1,X3)
                  | ~ in(X3,relation_dom(X1)) )
              & ! [X4] :
                  ( in(X4,relation_dom(X1))
                <=> ( in(apply(X2,X4),X0)
                    & in(X4,relation_dom(X2)) ) ) ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( relation_rng_restriction(X0,X2) = X1
          <=> ( ! [X3] :
                  ( apply(X2,X3) = apply(X1,X3)
                  | ~ in(X3,relation_dom(X1)) )
              & ! [X4] :
                  ( in(X4,relation_dom(X1))
                <=> ( in(apply(X2,X4),X0)
                    & in(X4,relation_dom(X2)) ) ) ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( relation_rng_restriction(X0,X2) = X1
          <=> ( ! [X3] :
                  ( in(X3,relation_dom(X1))
                 => apply(X2,X3) = apply(X1,X3) )
              & ! [X4] :
                  ( in(X4,relation_dom(X1))
                <=> ( in(apply(X2,X4),X0)
                    & in(X4,relation_dom(X2)) ) ) ) ) ) ),
    inference(rectify,[],[f36]) ).

fof(f36,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( relation_rng_restriction(X0,X2) = X1
          <=> ( ! [X3] :
                  ( in(X3,relation_dom(X1))
                 => apply(X2,X3) = apply(X1,X3) )
              & ! [X3] :
                  ( in(X3,relation_dom(X1))
                <=> ( in(apply(X2,X3),X0)
                    & in(X3,relation_dom(X2)) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t85_funct_1) ).

fof(f203,plain,
    ( in(sK0(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15)),relation_dom(relation_rng_restriction(sK14,sK15)))
    | spl17_1 ),
    inference(resolution,[],[f196,f117]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | in(sK0(X0,X1),X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f196,plain,
    ( ~ subset(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15))
    | spl17_1 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f201,plain,
    ( ~ spl17_1
    | ~ spl17_2 ),
    inference(avatar_split_clause,[],[f175,f198,f194]) ).

fof(f175,plain,
    ( ~ subset(relation_rng(relation_rng_restriction(sK14,sK15)),relation_rng(sK15))
    | ~ subset(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15)) ),
    inference(cnf_transformation,[],[f110]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU046+1 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.15  % 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
% 0.15/0.39  % Computer : n024.cluster.edu
% 0.15/0.39  % Model    : x86_64 x86_64
% 0.15/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39  % Memory   : 8042.1875MB
% 0.15/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39  % CPULimit   : 300
% 0.15/0.39  % WCLimit    : 300
% 0.15/0.39  % DateTime   : Sun May 19 16:32:23 EDT 2024
% 0.15/0.39  % CPUTime    : 
% 0.15/0.39  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.40  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
% 0.74/0.90  % (22632)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.74/0.90  % (22630)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)
% 0.74/0.90  % (22633)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)
% 0.74/0.90  % (22631)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)
% 0.74/0.90  % (22634)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)
% 0.74/0.90  % (22635)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)
% 0.74/0.90  % (22636)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)
% 0.74/0.90  % (22637)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)
% 0.74/0.90  % (22635)Refutation not found, incomplete strategy% (22635)------------------------------
% 0.74/0.90  % (22635)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.90  % (22635)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.90  
% 0.74/0.90  % (22635)Memory used [KB]: 1033
% 0.74/0.90  % (22635)Time elapsed: 0.003 s
% 0.74/0.90  % (22635)Instructions burned: 3 (million)
% 0.74/0.91  % (22635)------------------------------
% 0.74/0.91  % (22635)------------------------------
% 0.74/0.91  % (22638)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 theBenchmark for (2994ds/55Mi)
% 0.74/0.92  % (22630)Instruction limit reached!
% 0.74/0.92  % (22630)------------------------------
% 0.74/0.92  % (22630)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.92  % (22630)Termination reason: Unknown
% 0.74/0.92  % (22630)Termination phase: Saturation
% 0.74/0.92  
% 0.74/0.92  % (22630)Memory used [KB]: 1166
% 0.74/0.92  % (22630)Time elapsed: 0.017 s
% 0.74/0.92  % (22630)Instructions burned: 34 (million)
% 0.74/0.92  % (22630)------------------------------
% 0.74/0.92  % (22630)------------------------------
% 0.74/0.92  % (22639)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 theBenchmark for (2994ds/50Mi)
% 0.74/0.92  % (22633)Instruction limit reached!
% 0.74/0.92  % (22633)------------------------------
% 0.74/0.92  % (22633)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.92  % (22633)Termination reason: Unknown
% 0.74/0.92  % (22633)Termination phase: Saturation
% 0.74/0.92  % (22634)Instruction limit reached!
% 0.74/0.92  % (22634)------------------------------
% 0.74/0.92  % (22634)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.92  
% 0.74/0.92  % (22633)Memory used [KB]: 1646
% 0.74/0.92  % (22633)Time elapsed: 0.021 s
% 0.74/0.92  % (22633)Instructions burned: 34 (million)
% 0.74/0.92  % (22633)------------------------------
% 0.74/0.92  % (22633)------------------------------
% 0.74/0.92  % (22634)Termination reason: Unknown
% 0.74/0.92  % (22634)Termination phase: Saturation
% 0.74/0.92  
% 0.74/0.92  % (22634)Memory used [KB]: 1522
% 0.74/0.92  % (22634)Time elapsed: 0.021 s
% 0.74/0.92  % (22634)Instructions burned: 35 (million)
% 0.74/0.92  % (22634)------------------------------
% 0.74/0.92  % (22634)------------------------------
% 0.74/0.93  % (22640)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.74/0.93  % (22641)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 theBenchmark for (2994ds/52Mi)
% 0.81/0.93  % (22631)Instruction limit reached!
% 0.81/0.93  % (22631)------------------------------
% 0.81/0.93  % (22631)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.93  % (22631)Termination reason: Unknown
% 0.81/0.93  % (22631)Termination phase: Saturation
% 0.81/0.93  
% 0.81/0.93  % (22631)Memory used [KB]: 1404
% 0.81/0.93  % (22631)Time elapsed: 0.029 s
% 0.81/0.93  % (22631)Instructions burned: 53 (million)
% 0.81/0.93  % (22631)------------------------------
% 0.81/0.93  % (22631)------------------------------
% 0.81/0.93  % (22637)Instruction limit reached!
% 0.81/0.93  % (22637)------------------------------
% 0.81/0.93  % (22637)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.93  % (22637)Termination reason: Unknown
% 0.81/0.93  % (22637)Termination phase: Saturation
% 0.81/0.93  
% 0.81/0.93  % (22637)Memory used [KB]: 1668
% 0.81/0.93  % (22637)Time elapsed: 0.030 s
% 0.81/0.93  % (22637)Instructions burned: 57 (million)
% 0.81/0.93  % (22637)------------------------------
% 0.81/0.93  % (22637)------------------------------
% 0.81/0.93  % (22642)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 theBenchmark for (2994ds/518Mi)
% 0.81/0.94  % (22643)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 theBenchmark for (2994ds/42Mi)
% 0.81/0.94  % (22642)Refutation not found, incomplete strategy% (22642)------------------------------
% 0.81/0.94  % (22642)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.94  % (22642)Termination reason: Refutation not found, incomplete strategy
% 0.81/0.94  
% 0.81/0.94  % (22642)Memory used [KB]: 1120
% 0.81/0.94  % (22642)Time elapsed: 0.004 s
% 0.81/0.94  % (22642)Instructions burned: 5 (million)
% 0.81/0.94  % (22642)------------------------------
% 0.81/0.94  % (22642)------------------------------
% 0.81/0.94  % (22638)Instruction limit reached!
% 0.81/0.94  % (22638)------------------------------
% 0.81/0.94  % (22638)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.94  % (22638)Termination reason: Unknown
% 0.81/0.94  % (22638)Termination phase: Saturation
% 0.81/0.94  
% 0.81/0.94  % (22638)Memory used [KB]: 1574
% 0.81/0.94  % (22638)Time elapsed: 0.031 s
% 0.81/0.94  % (22638)Instructions burned: 55 (million)
% 0.81/0.94  % (22638)------------------------------
% 0.81/0.94  % (22638)------------------------------
% 0.81/0.94  % (22643)First to succeed.
% 0.81/0.94  % (22644)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 theBenchmark for (2994ds/243Mi)
% 0.81/0.94  % (22643)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22629"
% 0.81/0.94  % (22645)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2994ds/117Mi)
% 0.81/0.94  % (22643)Refutation found. Thanks to Tanya!
% 0.81/0.94  % SZS status Theorem for theBenchmark
% 0.81/0.94  % SZS output start Proof for theBenchmark
% See solution above
% 0.81/0.94  % (22643)------------------------------
% 0.81/0.94  % (22643)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.94  % (22643)Termination reason: Refutation
% 0.81/0.94  
% 0.81/0.94  % (22643)Memory used [KB]: 1174
% 0.81/0.94  % (22643)Time elapsed: 0.007 s
% 0.81/0.94  % (22643)Instructions burned: 11 (million)
% 0.81/0.94  % (22629)Success in time 0.534 s
% 0.81/0.94  % Vampire---4.8 exiting
%------------------------------------------------------------------------------