TSTP Solution File: SET681+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET681+3 : TPTP v8.2.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n022.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 03:12:49 EDT 2024

% Result   : Theorem 0.66s 0.84s
% Output   : Refutation 0.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   87 (  10 unt;   0 def)
%            Number of atoms       :  325 (   4 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  405 ( 167   ~; 148   |;  34   &)
%                                         (  17 <=>;  37  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   7 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   7 con; 0-3 aty)
%            Number of variables   :  128 ( 114   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f747,plain,
    $false,
    inference(avatar_sat_refutation,[],[f148,f157,f262,f370,f380,f440,f738,f746]) ).

fof(f746,plain,
    ( spl20_9
    | ~ spl20_1 ),
    inference(avatar_split_clause,[],[f441,f141,f245]) ).

fof(f245,plain,
    ( spl20_9
  <=> member(sK3,range_of(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).

fof(f141,plain,
    ( spl20_1
  <=> member(sK3,range(sK1,sK0,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).

fof(f441,plain,
    ( member(sK3,range_of(sK2))
    | ~ spl20_1 ),
    inference(forward_demodulation,[],[f143,f219]) ).

fof(f219,plain,
    range(sK1,sK0,sK2) = range_of(sK2),
    inference(unit_resulting_resolution,[],[f78,f78,f73,f98]) ).

fof(f98,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | range_of(X2) = range(X0,X1,X2) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( range_of(X2) = range(X0,X1,X2)
              | ~ ilf_type(X2,relation_type(X0,X1)) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,relation_type(X0,X1))
             => range_of(X2) = range(X0,X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29) ).

fof(f73,plain,
    ilf_type(sK2,relation_type(sK1,sK0)),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( member(X3,range(X1,X0,X2))
                  <~> ? [X4] :
                        ( member(ordered_pair(X4,X3),X2)
                        & ilf_type(X4,member_type(X1)) ) )
                  & ilf_type(X3,member_type(X0)) )
              & ilf_type(X2,relation_type(X1,X0)) )
          & ilf_type(X1,set_type)
          & ~ empty(X1) )
      & ilf_type(X0,set_type)
      & ~ empty(X0) ),
    inference(flattening,[],[f35]) ).

fof(f35,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( member(X3,range(X1,X0,X2))
                  <~> ? [X4] :
                        ( member(ordered_pair(X4,X3),X2)
                        & ilf_type(X4,member_type(X1)) ) )
                  & ilf_type(X3,member_type(X0)) )
              & ilf_type(X2,relation_type(X1,X0)) )
          & ilf_type(X1,set_type)
          & ~ empty(X1) )
      & ilf_type(X0,set_type)
      & ~ empty(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X0] :
        ( ( ilf_type(X0,set_type)
          & ~ empty(X0) )
       => ! [X1] :
            ( ( ilf_type(X1,set_type)
              & ~ empty(X1) )
           => ! [X2] :
                ( ilf_type(X2,relation_type(X1,X0))
               => ! [X3] :
                    ( ilf_type(X3,member_type(X0))
                   => ( member(X3,range(X1,X0,X2))
                    <=> ? [X4] :
                          ( member(ordered_pair(X4,X3),X2)
                          & ilf_type(X4,member_type(X1)) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X0] :
      ( ( ilf_type(X0,set_type)
        & ~ empty(X0) )
     => ! [X1] :
          ( ( ilf_type(X1,set_type)
            & ~ empty(X1) )
         => ! [X2] :
              ( ilf_type(X2,relation_type(X1,X0))
             => ! [X3] :
                  ( ilf_type(X3,member_type(X0))
                 => ( member(X3,range(X1,X0,X2))
                  <=> ? [X4] :
                        ( member(ordered_pair(X4,X3),X2)
                        & ilf_type(X4,member_type(X1)) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_48) ).

fof(f78,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31) ).

fof(f143,plain,
    ( member(sK3,range(sK1,sK0,sK2))
    | ~ spl20_1 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f738,plain,
    ( ~ spl20_4
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(avatar_contradiction_clause,[],[f737]) ).

fof(f737,plain,
    ( $false
    | ~ spl20_4
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(subsumption_resolution,[],[f736,f519]) ).

fof(f519,plain,
    ( ~ sP18(sK14(sK3,sK2),sK2)
    | ~ spl20_4
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(unit_resulting_resolution,[],[f224,f78,f512,f136]) ).

fof(f136,plain,
    ! [X2,X0,X4] :
      ( ~ sP18(X2,X4)
      | member(X2,X0)
      | ~ ilf_type(X2,set_type)
      | sP19(X4,X0) ),
    inference(cnf_transformation,[],[f136_D]) ).

fof(f136_D,plain,
    ! [X0,X4] :
      ( ! [X2] :
          ( ~ sP18(X2,X4)
          | member(X2,X0)
          | ~ ilf_type(X2,set_type) )
    <=> ~ sP19(X4,X0) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).

fof(f512,plain,
    ( ~ member(sK14(sK3,sK2),sK1)
    | ~ spl20_4
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(unit_resulting_resolution,[],[f74,f78,f78,f483,f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ilf_type(X0,member_type(X1))
      | empty(X1)
      | ~ ilf_type(X1,set_type)
      | ~ member(X0,X1)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) )
          | ~ ilf_type(X1,set_type)
          | empty(X1) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) )
          | ~ ilf_type(X1,set_type)
          | empty(X1) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ( ilf_type(X1,set_type)
            & ~ empty(X1) )
         => ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8) ).

fof(f483,plain,
    ( ~ ilf_type(sK14(sK3,sK2),member_type(sK1))
    | ~ spl20_4
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(subsumption_resolution,[],[f482,f247]) ).

fof(f247,plain,
    ( member(sK3,range_of(sK2))
    | ~ spl20_9 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f482,plain,
    ( ~ ilf_type(sK14(sK3,sK2),member_type(sK1))
    | ~ member(sK3,range_of(sK2))
    | ~ spl20_4
    | ~ spl20_10 ),
    inference(subsumption_resolution,[],[f481,f78]) ).

fof(f481,plain,
    ( ~ ilf_type(sK14(sK3,sK2),member_type(sK1))
    | ~ ilf_type(sK3,set_type)
    | ~ member(sK3,range_of(sK2))
    | ~ spl20_4
    | ~ spl20_10 ),
    inference(subsumption_resolution,[],[f473,f250]) ).

fof(f250,plain,
    ( ilf_type(sK2,binary_relation_type)
    | ~ spl20_10 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f249,plain,
    ( spl20_10
  <=> ilf_type(sK2,binary_relation_type) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).

fof(f473,plain,
    ( ~ ilf_type(sK14(sK3,sK2),member_type(sK1))
    | ~ ilf_type(sK2,binary_relation_type)
    | ~ ilf_type(sK3,set_type)
    | ~ member(sK3,range_of(sK2))
    | ~ spl20_4 ),
    inference(resolution,[],[f156,f119]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( member(ordered_pair(sK14(X0,X1),X0),X1)
      | ~ ilf_type(X1,binary_relation_type)
      | ~ ilf_type(X0,set_type)
      | ~ member(X0,range_of(X1)) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,range_of(X1))
          <=> ? [X2] :
                ( member(ordered_pair(X2,X0),X1)
                & ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,binary_relation_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,binary_relation_type)
         => ( member(X0,range_of(X1))
          <=> ? [X2] :
                ( member(ordered_pair(X2,X0),X1)
                & ilf_type(X2,set_type) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).

fof(f156,plain,
    ( ! [X4] :
        ( ~ member(ordered_pair(X4,sK3),sK2)
        | ~ ilf_type(X4,member_type(sK1)) )
    | ~ spl20_4 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f155,plain,
    ( spl20_4
  <=> ! [X4] :
        ( ~ ilf_type(X4,member_type(sK1))
        | ~ member(ordered_pair(X4,sK3),sK2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).

fof(f74,plain,
    ~ empty(sK1),
    inference(cnf_transformation,[],[f36]) ).

fof(f224,plain,
    ~ sP19(sK2,sK1),
    inference(unit_resulting_resolution,[],[f78,f78,f73,f137]) ).

fof(f137,plain,
    ! [X0,X1,X4] :
      ( ~ ilf_type(X4,relation_type(X0,X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | ~ sP19(X4,X0) ),
    inference(general_splitting,[],[f135,f136_D]) ).

fof(f135,plain,
    ! [X2,X0,X1,X4] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X4,relation_type(X0,X1))
      | member(X2,X0)
      | ~ sP18(X2,X4) ),
    inference(general_splitting,[],[f87,f134_D]) ).

fof(f134,plain,
    ! [X2,X3,X4] :
      ( ~ member(ordered_pair(X2,X3),X4)
      | ~ ilf_type(X3,set_type)
      | sP18(X2,X4) ),
    inference(cnf_transformation,[],[f134_D]) ).

fof(f134_D,plain,
    ! [X4,X2] :
      ( ! [X3] :
          ( ~ member(ordered_pair(X2,X3),X4)
          | ~ ilf_type(X3,set_type) )
    <=> ~ sP18(X2,X4) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP18])]) ).

fof(f87,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X3,set_type)
      | ~ ilf_type(X4,relation_type(X0,X1))
      | ~ member(ordered_pair(X2,X3),X4)
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ( member(X3,X1)
                        & member(X2,X0) )
                      | ~ member(ordered_pair(X2,X3),X4)
                      | ~ ilf_type(X4,relation_type(X0,X1)) )
                  | ~ ilf_type(X3,set_type) )
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ( member(X3,X1)
                        & member(X2,X0) )
                      | ~ member(ordered_pair(X2,X3),X4)
                      | ~ ilf_type(X4,relation_type(X0,X1)) )
                  | ~ ilf_type(X3,set_type) )
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,set_type)
             => ! [X3] :
                  ( ilf_type(X3,set_type)
                 => ! [X4] :
                      ( ilf_type(X4,relation_type(X0,X1))
                     => ( member(ordered_pair(X2,X3),X4)
                       => ( member(X3,X1)
                          & member(X2,X0) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).

fof(f736,plain,
    ( sP18(sK14(sK3,sK2),sK2)
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(subsumption_resolution,[],[f726,f78]) ).

fof(f726,plain,
    ( ~ ilf_type(sK3,set_type)
    | sP18(sK14(sK3,sK2),sK2)
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(resolution,[],[f396,f134]) ).

fof(f396,plain,
    ( member(ordered_pair(sK14(sK3,sK2),sK3),sK2)
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(unit_resulting_resolution,[],[f250,f78,f247,f119]) ).

fof(f440,plain,
    ( spl20_1
    | ~ spl20_9 ),
    inference(avatar_contradiction_clause,[],[f439]) ).

fof(f439,plain,
    ( $false
    | spl20_1
    | ~ spl20_9 ),
    inference(subsumption_resolution,[],[f437,f247]) ).

fof(f437,plain,
    ( ~ member(sK3,range_of(sK2))
    | spl20_1 ),
    inference(superposition,[],[f142,f219]) ).

fof(f142,plain,
    ( ~ member(sK3,range(sK1,sK0,sK2))
    | spl20_1 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f380,plain,
    ( ~ spl20_12
    | spl20_10 ),
    inference(avatar_split_clause,[],[f294,f249,f266]) ).

fof(f266,plain,
    ( spl20_12
  <=> relation_like(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).

fof(f294,plain,
    ( ~ relation_like(sK2)
    | spl20_10 ),
    inference(unit_resulting_resolution,[],[f78,f251,f107]) ).

fof(f107,plain,
    ! [X0] :
      ( ilf_type(X0,binary_relation_type)
      | ~ ilf_type(X0,set_type)
      | ~ relation_like(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0] :
      ( ( ilf_type(X0,binary_relation_type)
      <=> ( ilf_type(X0,set_type)
          & relation_like(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( ilf_type(X0,binary_relation_type)
      <=> ( ilf_type(X0,set_type)
          & relation_like(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17) ).

fof(f251,plain,
    ( ~ ilf_type(sK2,binary_relation_type)
    | spl20_10 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f370,plain,
    spl20_12,
    inference(avatar_split_clause,[],[f353,f266]) ).

fof(f353,plain,
    relation_like(sK2),
    inference(unit_resulting_resolution,[],[f78,f78,f220,f105]) ).

fof(f105,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | relation_like(X2) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( relation_like(X2)
              | ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,subset_type(cross_product(X0,X1)))
             => relation_like(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26) ).

fof(f220,plain,
    ilf_type(sK2,subset_type(cross_product(sK1,sK0))),
    inference(unit_resulting_resolution,[],[f78,f78,f73,f122]) ).

fof(f122,plain,
    ! [X2,X0,X1] :
      ( ilf_type(X2,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ilf_type(X2,subset_type(cross_product(X0,X1)))
                | ~ ilf_type(X2,relation_type(X0,X1)) )
            & ! [X3] :
                ( ilf_type(X3,relation_type(X0,X1))
                | ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
               => ilf_type(X2,subset_type(cross_product(X0,X1))) )
            & ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X0,X1)))
               => ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X3] :
                ( ilf_type(X3,relation_type(X0,X1))
               => ilf_type(X3,subset_type(cross_product(X0,X1))) )
            & ! [X2] :
                ( ilf_type(X2,subset_type(cross_product(X0,X1)))
               => ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).

fof(f262,plain,
    ( spl20_9
    | ~ spl20_10
    | ~ spl20_2 ),
    inference(avatar_split_clause,[],[f261,f145,f249,f245]) ).

fof(f145,plain,
    ( spl20_2
  <=> member(ordered_pair(sK4,sK3),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).

fof(f261,plain,
    ( ~ ilf_type(sK2,binary_relation_type)
    | member(sK3,range_of(sK2))
    | ~ spl20_2 ),
    inference(subsumption_resolution,[],[f260,f78]) ).

fof(f260,plain,
    ( ~ ilf_type(sK2,binary_relation_type)
    | ~ ilf_type(sK4,set_type)
    | member(sK3,range_of(sK2))
    | ~ spl20_2 ),
    inference(subsumption_resolution,[],[f235,f78]) ).

fof(f235,plain,
    ( ~ ilf_type(sK3,set_type)
    | ~ ilf_type(sK2,binary_relation_type)
    | ~ ilf_type(sK4,set_type)
    | member(sK3,range_of(sK2))
    | ~ spl20_2 ),
    inference(resolution,[],[f147,f117]) ).

fof(f117,plain,
    ! [X2,X0,X1] :
      ( ~ member(ordered_pair(X0,X1),X2)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,binary_relation_type)
      | ~ ilf_type(X0,set_type)
      | member(X1,range_of(X2)) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( member(X1,range_of(X2))
                & member(X0,domain_of(X2)) )
              | ~ member(ordered_pair(X0,X1),X2)
              | ~ ilf_type(X2,binary_relation_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( member(X1,range_of(X2))
                & member(X0,domain_of(X2)) )
              | ~ member(ordered_pair(X0,X1),X2)
              | ~ ilf_type(X2,binary_relation_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,binary_relation_type)
             => ( member(ordered_pair(X0,X1),X2)
               => ( member(X1,range_of(X2))
                  & member(X0,domain_of(X2)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).

fof(f147,plain,
    ( member(ordered_pair(sK4,sK3),sK2)
    | ~ spl20_2 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f157,plain,
    ( ~ spl20_1
    | spl20_4 ),
    inference(avatar_split_clause,[],[f69,f155,f141]) ).

fof(f69,plain,
    ! [X4] :
      ( ~ ilf_type(X4,member_type(sK1))
      | ~ member(ordered_pair(X4,sK3),sK2)
      | ~ member(sK3,range(sK1,sK0,sK2)) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f148,plain,
    ( spl20_1
    | spl20_2 ),
    inference(avatar_split_clause,[],[f71,f145,f141]) ).

fof(f71,plain,
    ( member(ordered_pair(sK4,sK3),sK2)
    | member(sK3,range(sK1,sK0,sK2)) ),
    inference(cnf_transformation,[],[f36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem    : SET681+3 : TPTP v8.2.0. Released v2.2.0.
% 0.00/0.07  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.07/0.26  % Computer : n022.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit   : 300
% 0.07/0.26  % WCLimit    : 300
% 0.07/0.26  % DateTime   : Mon May 20 12:39:37 EDT 2024
% 0.07/0.26  % CPUTime    : 
% 0.07/0.26  This is a FOF_THM_RFO_SEQ problem
% 0.07/0.26  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.65/0.82  % (17042)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.65/0.82  % (17040)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 (2994ds/34Mi)
% 0.65/0.82  % (17041)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 (2994ds/51Mi)
% 0.65/0.82  % (17043)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.65/0.82  % (17044)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 (2994ds/34Mi)
% 0.65/0.82  % (17045)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.65/0.82  % (17046)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 (2994ds/83Mi)
% 0.65/0.82  % (17047)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 (2994ds/56Mi)
% 0.65/0.82  % (17045)Refutation not found, incomplete strategy% (17045)------------------------------
% 0.65/0.82  % (17045)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82  % (17045)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82  
% 0.65/0.82  % (17045)Memory used [KB]: 1061
% 0.65/0.82  % (17045)Time elapsed: 0.004 s
% 0.65/0.82  % (17045)Instructions burned: 5 (million)
% 0.65/0.82  % (17045)------------------------------
% 0.65/0.82  % (17045)------------------------------
% 0.65/0.83  % (17048)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)
% 0.65/0.84  % (17046)First to succeed.
% 0.65/0.84  % (17043)Instruction limit reached!
% 0.65/0.84  % (17043)------------------------------
% 0.65/0.84  % (17043)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.84  % (17043)Termination reason: Unknown
% 0.65/0.84  % (17046)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17039"
% 0.65/0.84  % (17044)Instruction limit reached!
% 0.65/0.84  % (17044)------------------------------
% 0.65/0.84  % (17044)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.84  % (17043)Termination phase: Saturation
% 0.65/0.84  
% 0.65/0.84  % (17043)Memory used [KB]: 1580
% 0.65/0.84  % (17044)Termination reason: Unknown
% 0.65/0.84  % (17044)Termination phase: Saturation
% 0.65/0.84  % (17043)Time elapsed: 0.020 s
% 0.66/0.84  
% 0.66/0.84  % (17044)Memory used [KB]: 1592
% 0.66/0.84  % (17043)Instructions burned: 33 (million)
% 0.66/0.84  % (17044)Time elapsed: 0.020 s
% 0.66/0.84  % (17043)------------------------------
% 0.66/0.84  % (17043)------------------------------
% 0.66/0.84  % (17044)Instructions burned: 34 (million)
% 0.66/0.84  % (17044)------------------------------
% 0.66/0.84  % (17044)------------------------------
% 0.66/0.84  % (17040)Instruction limit reached!
% 0.66/0.84  % (17040)------------------------------
% 0.66/0.84  % (17040)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.84  % (17040)Termination reason: Unknown
% 0.66/0.84  % (17040)Termination phase: Saturation
% 0.66/0.84  
% 0.66/0.84  % (17040)Memory used [KB]: 1354
% 0.66/0.84  % (17040)Time elapsed: 0.021 s
% 0.66/0.84  % (17040)Instructions burned: 34 (million)
% 0.66/0.84  % (17040)------------------------------
% 0.66/0.84  % (17040)------------------------------
% 0.66/0.84  % (17046)Refutation found. Thanks to Tanya!
% 0.66/0.84  % SZS status Theorem for theBenchmark
% 0.66/0.84  % SZS output start Proof for theBenchmark
% See solution above
% 0.66/0.84  % (17046)------------------------------
% 0.66/0.84  % (17046)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.84  % (17046)Termination reason: Refutation
% 0.66/0.84  
% 0.66/0.84  % (17046)Memory used [KB]: 1257
% 0.66/0.84  % (17046)Time elapsed: 0.019 s
% 0.66/0.84  % (17046)Instructions burned: 31 (million)
% 0.66/0.84  % (17039)Success in time 0.566 s
% 0.66/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------