TSTP Solution File: SET682+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET682+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n023.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 0.62s 0.79s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   87 (  19 unt;   0 def)
%            Number of atoms       :  292 (   8 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  333 ( 128   ~; 115   |;  31   &)
%                                         (  14 <=>;  45  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   6 con; 0-3 aty)
%            Number of variables   :  126 ( 113   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f547,plain,
    $false,
    inference(avatar_sat_refutation,[],[f169,f334,f546]) ).

fof(f546,plain,
    ( spl14_4
    | spl14_5 ),
    inference(avatar_contradiction_clause,[],[f545]) ).

fof(f545,plain,
    ( $false
    | spl14_4
    | spl14_5 ),
    inference(subsumption_resolution,[],[f541,f66]) ).

fof(f66,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24) ).

fof(f541,plain,
    ( ~ ilf_type(sK1,set_type)
    | spl14_4
    | spl14_5 ),
    inference(resolution,[],[f534,f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ~ empty(power_set(X0))
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ( ilf_type(power_set(X0),set_type)
        & ~ empty(power_set(X0)) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( ilf_type(power_set(X0),set_type)
        & ~ empty(power_set(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).

fof(f534,plain,
    ( empty(power_set(sK1))
    | spl14_4
    | spl14_5 ),
    inference(unit_resulting_resolution,[],[f66,f66,f360,f305,f71]) ).

fof(f71,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,[],[f32]) ).

fof(f32,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,[],[f31]) ).

fof(f31,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,[],[f4]) ).

fof(f4,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/sandbox2/benchmark/theBenchmark.p',p4) ).

fof(f305,plain,
    ilf_type(range_of(sK2),member_type(power_set(sK1))),
    inference(unit_resulting_resolution,[],[f66,f66,f303,f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,subset_type(X0)) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X1,subset_type(X0))
          <=> ilf_type(X1,member_type(power_set(X0))) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ilf_type(X1,subset_type(X0))
          <=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12) ).

fof(f303,plain,
    ilf_type(range_of(sK2),subset_type(sK1)),
    inference(subsumption_resolution,[],[f302,f66]) ).

fof(f302,plain,
    ( ilf_type(range_of(sK2),subset_type(sK1))
    | ~ ilf_type(sK0,set_type) ),
    inference(subsumption_resolution,[],[f301,f61]) ).

fof(f61,plain,
    ilf_type(sK2,relation_type(sK0,sK1)),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ! [X4] :
                      ( ~ member(X4,range(X0,X1,X2))
                      | ~ ilf_type(X4,member_type(X1)) )
                  & member(X3,domain(X0,X1,X2))
                  & ilf_type(X3,member_type(X0)) )
              & ilf_type(X2,relation_type(X0,X1)) )
          & ilf_type(X1,set_type)
          & ~ empty(X1) )
      & ilf_type(X0,set_type)
      & ~ empty(X0) ),
    inference(flattening,[],[f28]) ).

fof(f28,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ! [X4] :
                      ( ~ member(X4,range(X0,X1,X2))
                      | ~ ilf_type(X4,member_type(X1)) )
                  & member(X3,domain(X0,X1,X2))
                  & ilf_type(X3,member_type(X0)) )
              & ilf_type(X2,relation_type(X0,X1)) )
          & ilf_type(X1,set_type)
          & ~ empty(X1) )
      & ilf_type(X0,set_type)
      & ~ empty(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,negated_conjecture,
    ~ ! [X0] :
        ( ( ilf_type(X0,set_type)
          & ~ empty(X0) )
       => ! [X1] :
            ( ( ilf_type(X1,set_type)
              & ~ empty(X1) )
           => ! [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
               => ! [X3] :
                    ( ilf_type(X3,member_type(X0))
                   => ( member(X3,domain(X0,X1,X2))
                     => ? [X4] :
                          ( member(X4,range(X0,X1,X2))
                          & ilf_type(X4,member_type(X1)) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f25]) ).

fof(f25,conjecture,
    ! [X0] :
      ( ( ilf_type(X0,set_type)
        & ~ empty(X0) )
     => ! [X1] :
          ( ( ilf_type(X1,set_type)
            & ~ empty(X1) )
         => ! [X2] :
              ( ilf_type(X2,relation_type(X0,X1))
             => ! [X3] :
                  ( ilf_type(X3,member_type(X0))
                 => ( member(X3,domain(X0,X1,X2))
                   => ? [X4] :
                        ( member(X4,range(X0,X1,X2))
                        & ilf_type(X4,member_type(X1)) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_49) ).

fof(f301,plain,
    ( ilf_type(range_of(sK2),subset_type(sK1))
    | ~ ilf_type(sK2,relation_type(sK0,sK1))
    | ~ ilf_type(sK0,set_type) ),
    inference(subsumption_resolution,[],[f300,f66]) ).

fof(f300,plain,
    ( ilf_type(range_of(sK2),subset_type(sK1))
    | ~ ilf_type(sK1,set_type)
    | ~ ilf_type(sK2,relation_type(sK0,sK1))
    | ~ ilf_type(sK0,set_type) ),
    inference(superposition,[],[f79,f132]) ).

fof(f132,plain,
    range(sK0,sK1,sK2) = range_of(sK2),
    inference(unit_resulting_resolution,[],[f66,f66,f61,f80]) ).

fof(f80,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | range(X0,X1,X2) = range_of(X2) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( range(X0,X1,X2) = range_of(X2)
              | ~ ilf_type(X2,relation_type(X0,X1)) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,relation_type(X0,X1))
             => range(X0,X1,X2) = range_of(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).

fof(f79,plain,
    ! [X2,X0,X1] :
      ( ilf_type(range(X0,X1,X2),subset_type(X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ilf_type(range(X0,X1,X2),subset_type(X1))
              | ~ ilf_type(X2,relation_type(X0,X1)) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,relation_type(X0,X1))
             => ilf_type(range(X0,X1,X2),subset_type(X1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23) ).

fof(f360,plain,
    ( ~ member(range_of(sK2),power_set(sK1))
    | spl14_4
    | spl14_5 ),
    inference(unit_resulting_resolution,[],[f66,f66,f284,f66,f341,f87]) ).

fof(f87,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,power_set(X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ member(X2,X0)
      | member(X2,X1)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( ilf_type(X2,set_type)
               => ( member(X2,X0)
                 => member(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14) ).

fof(f341,plain,
    ( member(sK4(range_of(sK2)),range_of(sK2))
    | spl14_5 ),
    inference(unit_resulting_resolution,[],[f66,f167,f69]) ).

fof(f69,plain,
    ! [X0] :
      ( member(sK4(X0),X0)
      | ~ ilf_type(X0,set_type)
      | empty(X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0] :
      ( ( empty(X0)
      <=> ! [X1] :
            ( ~ member(X1,X0)
            | ~ ilf_type(X1,set_type) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( empty(X0)
      <=> ! [X1] :
            ( ilf_type(X1,set_type)
           => ~ member(X1,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6) ).

fof(f167,plain,
    ( ~ empty(range_of(sK2))
    | spl14_5 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f166,plain,
    ( spl14_5
  <=> empty(range_of(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).

fof(f284,plain,
    ( ~ member(sK4(range_of(sK2)),sK1)
    | spl14_4 ),
    inference(unit_resulting_resolution,[],[f62,f66,f66,f164,f70]) ).

fof(f70,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,[],[f32]) ).

fof(f164,plain,
    ( ~ ilf_type(sK4(range_of(sK2)),member_type(sK1))
    | spl14_4 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f162,plain,
    ( spl14_4
  <=> ilf_type(sK4(range_of(sK2)),member_type(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).

fof(f62,plain,
    ~ empty(sK1),
    inference(cnf_transformation,[],[f29]) ).

fof(f334,plain,
    ~ spl14_5,
    inference(avatar_split_clause,[],[f333,f166]) ).

fof(f333,plain,
    ~ empty(range_of(sK2)),
    inference(subsumption_resolution,[],[f332,f66]) ).

fof(f332,plain,
    ( ~ ilf_type(range_of(sK2),set_type)
    | ~ empty(range_of(sK2)) ),
    inference(subsumption_resolution,[],[f323,f66]) ).

fof(f323,plain,
    ( ~ ilf_type(sK12(sK2),set_type)
    | ~ ilf_type(range_of(sK2),set_type)
    | ~ empty(range_of(sK2)) ),
    inference(resolution,[],[f307,f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ member(X1,X0)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f307,plain,
    member(sK12(sK2),range_of(sK2)),
    inference(unit_resulting_resolution,[],[f271,f66,f194,f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ~ member(X0,domain_of(X1))
      | ~ ilf_type(X1,binary_relation_type)
      | ~ ilf_type(X0,set_type)
      | member(sK12(X1),range_of(X1)) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( member(X2,range_of(X1))
              & ilf_type(X2,set_type) )
          | ~ member(X0,domain_of(X1))
          | ~ ilf_type(X1,binary_relation_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( member(X2,range_of(X1))
              & ilf_type(X2,set_type) )
          | ~ member(X0,domain_of(X1))
          | ~ 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,domain_of(X1))
           => ? [X2] :
                ( member(X2,range_of(X1))
                & ilf_type(X2,set_type) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).

fof(f194,plain,
    member(sK4(domain_of(sK2)),domain_of(sK2)),
    inference(unit_resulting_resolution,[],[f66,f143,f69]) ).

fof(f143,plain,
    ~ empty(domain_of(sK2)),
    inference(forward_demodulation,[],[f138,f134]) ).

fof(f134,plain,
    domain(sK0,sK1,sK2) = domain_of(sK2),
    inference(unit_resulting_resolution,[],[f66,f66,f61,f78]) ).

fof(f78,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | domain(X0,X1,X2) = domain_of(X2) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( domain(X0,X1,X2) = domain_of(X2)
              | ~ ilf_type(X2,relation_type(X0,X1)) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,relation_type(X0,X1))
             => domain(X0,X1,X2) = domain_of(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).

fof(f138,plain,
    ~ empty(domain(sK0,sK1,sK2)),
    inference(unit_resulting_resolution,[],[f66,f66,f60,f67]) ).

fof(f60,plain,
    member(sK3,domain(sK0,sK1,sK2)),
    inference(cnf_transformation,[],[f29]) ).

fof(f271,plain,
    ilf_type(sK2,binary_relation_type),
    inference(unit_resulting_resolution,[],[f66,f267,f83]) ).

fof(f83,plain,
    ! [X0] :
      ( ilf_type(X0,binary_relation_type)
      | ~ ilf_type(X0,set_type)
      | ~ relation_like(X0) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0] :
      ( ( ilf_type(X0,binary_relation_type)
      <=> ( ilf_type(X0,set_type)
          & relation_like(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( ilf_type(X0,binary_relation_type)
      <=> ( ilf_type(X0,set_type)
          & relation_like(X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10) ).

fof(f267,plain,
    relation_like(sK2),
    inference(unit_resulting_resolution,[],[f66,f66,f131,f81]) ).

fof(f81,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,[],[f43]) ).

fof(f43,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,[],[f18]) ).

fof(f18,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/sandbox2/benchmark/theBenchmark.p',p18) ).

fof(f131,plain,
    ilf_type(sK2,subset_type(cross_product(sK0,sK1))),
    inference(unit_resulting_resolution,[],[f66,f66,f61,f102]) ).

fof(f102,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,[],[f56]) ).

fof(f56,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,[],[f27]) ).

fof(f27,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,[],[f2]) ).

fof(f2,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/sandbox2/benchmark/theBenchmark.p',p2) ).

fof(f169,plain,
    ( ~ spl14_4
    | spl14_5 ),
    inference(avatar_split_clause,[],[f160,f166,f162]) ).

fof(f160,plain,
    ( empty(range_of(sK2))
    | ~ ilf_type(sK4(range_of(sK2)),member_type(sK1)) ),
    inference(forward_demodulation,[],[f159,f132]) ).

fof(f159,plain,
    ( ~ ilf_type(sK4(range_of(sK2)),member_type(sK1))
    | empty(range(sK0,sK1,sK2)) ),
    inference(forward_demodulation,[],[f158,f132]) ).

fof(f158,plain,
    ( ~ ilf_type(sK4(range(sK0,sK1,sK2)),member_type(sK1))
    | empty(range(sK0,sK1,sK2)) ),
    inference(subsumption_resolution,[],[f155,f66]) ).

fof(f155,plain,
    ( ~ ilf_type(sK4(range(sK0,sK1,sK2)),member_type(sK1))
    | ~ ilf_type(range(sK0,sK1,sK2),set_type)
    | empty(range(sK0,sK1,sK2)) ),
    inference(resolution,[],[f58,f69]) ).

fof(f58,plain,
    ! [X4] :
      ( ~ member(X4,range(sK0,sK1,sK2))
      | ~ ilf_type(X4,member_type(sK1)) ),
    inference(cnf_transformation,[],[f29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SET682+3 : TPTP v8.2.0. Released v2.2.0.
% 0.06/0.13  % 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
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon May 20 13:29:53 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  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
% 0.62/0.78  % (30907)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)
% 0.62/0.78  % (30900)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)
% 0.62/0.78  % (30902)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.62/0.78  % (30901)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)
% 0.62/0.78  % (30907)Refutation not found, incomplete strategy% (30907)------------------------------
% 0.62/0.78  % (30907)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78  % (30907)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.78  
% 0.62/0.78  % (30907)Memory used [KB]: 1033
% 0.62/0.78  % (30907)Time elapsed: 0.002 s
% 0.62/0.78  % (30907)Instructions burned: 3 (million)
% 0.62/0.78  % (30907)------------------------------
% 0.62/0.78  % (30907)------------------------------
% 0.62/0.78  % (30906)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)
% 0.62/0.78  % (30908)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 (2995ds/55Mi)
% 0.62/0.79  % (30906)First to succeed.
% 0.62/0.79  % (30906)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30899"
% 0.62/0.79  % (30906)Refutation found. Thanks to Tanya!
% 0.62/0.79  % SZS status Theorem for theBenchmark
% 0.62/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.79  % (30906)------------------------------
% 0.62/0.79  % (30906)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (30906)Termination reason: Refutation
% 0.62/0.79  
% 0.62/0.79  % (30906)Memory used [KB]: 1191
% 0.62/0.79  % (30906)Time elapsed: 0.009 s
% 0.62/0.79  % (30906)Instructions burned: 24 (million)
% 0.62/0.79  % (30899)Success in time 0.434 s
% 0.62/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------