TSTP Solution File: SET681+3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET681+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : n014.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 18:21:52 EDT 2022

% Result   : Theorem 1.42s 0.58s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  132 (  14 unt;   0 def)
%            Number of atoms       :  594 (   3 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives :  746 ( 284   ~; 268   |; 124   &)
%                                         (  25 <=>;  43  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   22 (  20 usr;  17 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   7 con; 0-3 aty)
%            Number of variables   :  205 ( 148   !;  57   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2951,plain,
    $false,
    inference(avatar_sat_refutation,[],[f198,f219,f455,f469,f474,f479,f541,f551,f575,f650,f661,f677,f769,f771,f783,f786,f2946,f2950]) ).

fof(f2950,plain,
    ( ~ spl16_28
    | ~ spl16_26
    | spl16_48
    | ~ spl16_35
    | ~ spl16_55 ),
    inference(avatar_split_clause,[],[f2947,f2944,f548,f780,f435,f444]) ).

fof(f444,plain,
    ( spl16_28
  <=> ilf_type(sK11,set_type) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_28])]) ).

fof(f435,plain,
    ( spl16_26
  <=> ilf_type(sK12,set_type) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_26])]) ).

fof(f780,plain,
    ( spl16_48
  <=> member(sK3(sK14,sK13),sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_48])]) ).

fof(f548,plain,
    ( spl16_35
  <=> ilf_type(sK13,relation_type(sK12,sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_35])]) ).

fof(f2944,plain,
    ( spl16_55
  <=> ! [X4,X5] :
        ( member(sK3(sK14,sK13),X5)
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(sK13,relation_type(X5,X4))
        | ~ ilf_type(X4,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_55])]) ).

fof(f2947,plain,
    ( member(sK3(sK14,sK13),sK12)
    | ~ ilf_type(sK12,set_type)
    | ~ ilf_type(sK11,set_type)
    | ~ spl16_35
    | ~ spl16_55 ),
    inference(resolution,[],[f2945,f549]) ).

fof(f549,plain,
    ( ilf_type(sK13,relation_type(sK12,sK11))
    | ~ spl16_35 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f2945,plain,
    ( ! [X4,X5] :
        ( ~ ilf_type(sK13,relation_type(X5,X4))
        | ~ ilf_type(X4,set_type)
        | member(sK3(sK14,sK13),X5)
        | ~ ilf_type(X5,set_type) )
    | ~ spl16_55 ),
    inference(avatar_component_clause,[],[f2944]) ).

fof(f2946,plain,
    ( ~ spl16_34
    | ~ spl16_33
    | spl16_55
    | ~ spl16_22
    | ~ spl16_47 ),
    inference(avatar_split_clause,[],[f2940,f776,f331,f2944,f528,f532]) ).

fof(f532,plain,
    ( spl16_34
  <=> member(sK14,range_of(sK13)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_34])]) ).

fof(f528,plain,
    ( spl16_33
  <=> ilf_type(sK13,binary_relation_type) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_33])]) ).

fof(f331,plain,
    ( spl16_22
  <=> ilf_type(sK14,set_type) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_22])]) ).

fof(f776,plain,
    ( spl16_47
  <=> ilf_type(sK3(sK14,sK13),set_type) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_47])]) ).

fof(f2940,plain,
    ( ! [X4,X5] :
        ( ~ ilf_type(sK14,set_type)
        | member(sK3(sK14,sK13),X5)
        | ~ ilf_type(X4,set_type)
        | ~ ilf_type(sK13,relation_type(X5,X4))
        | ~ ilf_type(sK13,binary_relation_type)
        | ~ ilf_type(X5,set_type)
        | ~ member(sK14,range_of(sK13)) )
    | ~ spl16_47 ),
    inference(resolution,[],[f643,f777]) ).

fof(f777,plain,
    ( ilf_type(sK3(sK14,sK13),set_type)
    | ~ spl16_47 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f643,plain,
    ! [X2,X3,X4,X5] :
      ( ~ ilf_type(sK3(X2,X3),set_type)
      | ~ ilf_type(X3,binary_relation_type)
      | ~ ilf_type(X5,set_type)
      | ~ member(X2,range_of(X3))
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X3,relation_type(X4,X5))
      | ~ ilf_type(X4,set_type)
      | member(sK3(X2,X3),X4) ),
    inference(duplicate_literal_removal,[],[f640]) ).

fof(f640,plain,
    ! [X2,X3,X4,X5] :
      ( ~ ilf_type(sK3(X2,X3),set_type)
      | ~ ilf_type(X2,set_type)
      | member(sK3(X2,X3),X4)
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X4,set_type)
      | ~ ilf_type(X3,relation_type(X4,X5))
      | ~ ilf_type(X5,set_type)
      | ~ member(X2,range_of(X3))
      | ~ ilf_type(X3,binary_relation_type) ),
    inference(resolution,[],[f142,f131]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( member(ordered_pair(sK3(X0,X1),X0),X1)
      | ~ member(X0,range_of(X1))
      | ~ ilf_type(X1,binary_relation_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,binary_relation_type)
          | ( ( member(X0,range_of(X1))
              | ! [X2] :
                  ( ~ member(ordered_pair(X2,X0),X1)
                  | ~ ilf_type(X2,set_type) ) )
            & ( ( member(ordered_pair(sK3(X0,X1),X0),X1)
                & ilf_type(sK3(X0,X1),set_type) )
              | ~ member(X0,range_of(X1)) ) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f80,f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( member(ordered_pair(X3,X0),X1)
          & ilf_type(X3,set_type) )
     => ( member(ordered_pair(sK3(X0,X1),X0),X1)
        & ilf_type(sK3(X0,X1),set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f80,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,binary_relation_type)
          | ( ( member(X0,range_of(X1))
              | ! [X2] :
                  ( ~ member(ordered_pair(X2,X0),X1)
                  | ~ ilf_type(X2,set_type) ) )
            & ( ? [X3] :
                  ( member(ordered_pair(X3,X0),X1)
                  & ilf_type(X3,set_type) )
              | ~ member(X0,range_of(X1)) ) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,binary_relation_type)
          | ( ( member(X0,range_of(X1))
              | ! [X2] :
                  ( ~ member(ordered_pair(X2,X0),X1)
                  | ~ ilf_type(X2,set_type) ) )
            & ( ? [X2] :
                  ( member(ordered_pair(X2,X0),X1)
                  & ilf_type(X2,set_type) )
              | ~ member(X0,range_of(X1)) ) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,binary_relation_type)
          | ( member(X0,range_of(X1))
          <=> ? [X2] :
                ( member(ordered_pair(X2,X0),X1)
                & ilf_type(X2,set_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/sandbox2/benchmark/theBenchmark.p',p1) ).

fof(f142,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ member(ordered_pair(X2,X3),X4)
      | member(X2,X0)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X4,relation_type(X0,X1))
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X3,set_type) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ ilf_type(X2,set_type)
              | ! [X3] :
                  ( ~ ilf_type(X3,set_type)
                  | ! [X4] :
                      ( ( member(X3,X1)
                        & member(X2,X0) )
                      | ~ member(ordered_pair(X2,X3),X4)
                      | ~ ilf_type(X4,relation_type(X0,X1)) ) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f50]) ).

fof(f50,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/sandbox2/benchmark/theBenchmark.p',p3) ).

fof(f786,plain,
    spl16_47,
    inference(avatar_contradiction_clause,[],[f785]) ).

fof(f785,plain,
    ( $false
    | spl16_47 ),
    inference(resolution,[],[f778,f138]) ).

fof(f138,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31) ).

fof(f778,plain,
    ( ~ ilf_type(sK3(sK14,sK13),set_type)
    | spl16_47 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f783,plain,
    ( ~ spl16_26
    | ~ spl16_47
    | ~ spl16_48
    | spl16_9
    | spl16_45 ),
    inference(avatar_split_clause,[],[f774,f674,f235,f780,f776,f435]) ).

fof(f235,plain,
    ( spl16_9
  <=> empty(sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_9])]) ).

fof(f674,plain,
    ( spl16_45
  <=> ilf_type(sK3(sK14,sK13),member_type(sK12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_45])]) ).

fof(f774,plain,
    ( empty(sK12)
    | ~ member(sK3(sK14,sK13),sK12)
    | ~ ilf_type(sK3(sK14,sK13),set_type)
    | ~ ilf_type(sK12,set_type)
    | spl16_45 ),
    inference(resolution,[],[f676,f169]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ilf_type(X0,member_type(X1))
      | ~ member(X0,X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | empty(X1) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( ( ilf_type(X0,member_type(X1))
              | ~ member(X0,X1) )
            & ( member(X0,X1)
              | ~ ilf_type(X0,member_type(X1)) ) )
          | empty(X1) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) )
          | empty(X1) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) )
          | empty(X1)
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ( ~ empty(X1)
            & ilf_type(X1,set_type) )
         => ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8) ).

fof(f676,plain,
    ( ~ ilf_type(sK3(sK14,sK13),member_type(sK12))
    | spl16_45 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f771,plain,
    ( spl16_33
    | ~ spl16_46 ),
    inference(avatar_contradiction_clause,[],[f770]) ).

fof(f770,plain,
    ( $false
    | spl16_33
    | ~ spl16_46 ),
    inference(resolution,[],[f767,f584]) ).

fof(f584,plain,
    ( ~ relation_like(sK13)
    | spl16_33 ),
    inference(resolution,[],[f530,f263]) ).

fof(f263,plain,
    ! [X0] :
      ( ilf_type(X0,binary_relation_type)
      | ~ relation_like(X0) ),
    inference(resolution,[],[f190,f138]) ).

fof(f190,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ~ relation_like(X0)
      | ilf_type(X0,binary_relation_type) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X0] :
      ( ~ relation_like(X0)
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X0,set_type)
      | ilf_type(X0,binary_relation_type) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ( ilf_type(X0,binary_relation_type)
          | ~ ilf_type(X0,set_type)
          | ~ relation_like(X0) )
        & ( ( ilf_type(X0,set_type)
            & relation_like(X0) )
          | ~ ilf_type(X0,binary_relation_type) ) ) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ( ilf_type(X0,binary_relation_type)
          | ~ ilf_type(X0,set_type)
          | ~ relation_like(X0) )
        & ( ( ilf_type(X0,set_type)
            & relation_like(X0) )
          | ~ ilf_type(X0,binary_relation_type) ) ) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ilf_type(X0,binary_relation_type)
      <=> ( ilf_type(X0,set_type)
          & relation_like(X0) ) ) ),
    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/sandbox2/benchmark/theBenchmark.p',p17) ).

fof(f530,plain,
    ( ~ ilf_type(sK13,binary_relation_type)
    | spl16_33 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f767,plain,
    ( relation_like(sK13)
    | ~ spl16_46 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f765,plain,
    ( spl16_46
  <=> relation_like(sK13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_46])]) ).

fof(f769,plain,
    ( spl16_46
    | ~ spl16_28
    | ~ spl16_26
    | ~ spl16_35 ),
    inference(avatar_split_clause,[],[f760,f548,f435,f444,f765]) ).

fof(f760,plain,
    ( ~ ilf_type(sK12,set_type)
    | ~ ilf_type(sK11,set_type)
    | relation_like(sK13)
    | ~ spl16_35 ),
    inference(resolution,[],[f496,f549]) ).

fof(f496,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,relation_type(X1,X0))
      | relation_like(X2)
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type) ),
    inference(duplicate_literal_removal,[],[f495]) ).

fof(f495,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,relation_type(X1,X0))
      | ~ ilf_type(X1,set_type)
      | relation_like(X2)
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type) ),
    inference(resolution,[],[f134,f152]) ).

fof(f152,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
      | relation_like(X2)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ! [X2] :
              ( relation_like(X2)
              | ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
          | ~ ilf_type(X1,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/sandbox2/benchmark/theBenchmark.p',p26) ).

fof(f134,plain,
    ! [X3,X0,X1] :
      ( ilf_type(X3,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X3,relation_type(X0,X1)) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
                | ilf_type(X2,relation_type(X0,X1)) )
            & ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X0,X1)))
                | ~ ilf_type(X3,relation_type(X0,X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f36]) ).

fof(f36,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X3] :
                ( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
                | ilf_type(X3,relation_type(X0,X1)) )
            & ! [X2] :
                ( ilf_type(X2,subset_type(cross_product(X0,X1)))
                | ~ ilf_type(X2,relation_type(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)
         => ( ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X0,X1)))
               => ilf_type(X3,relation_type(X0,X1)) )
            & ! [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
               => ilf_type(X2,subset_type(cross_product(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/sandbox2/benchmark/theBenchmark.p',p6) ).

fof(f677,plain,
    ( ~ spl16_34
    | ~ spl16_45
    | ~ spl16_22
    | ~ spl16_33
    | ~ spl16_2 ),
    inference(avatar_split_clause,[],[f672,f196,f528,f331,f674,f532]) ).

fof(f196,plain,
    ( spl16_2
  <=> ! [X4] :
        ( ~ member(ordered_pair(X4,sK14),sK13)
        | ~ ilf_type(X4,member_type(sK12)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).

fof(f672,plain,
    ( ~ ilf_type(sK13,binary_relation_type)
    | ~ ilf_type(sK14,set_type)
    | ~ ilf_type(sK3(sK14,sK13),member_type(sK12))
    | ~ member(sK14,range_of(sK13))
    | ~ spl16_2 ),
    inference(resolution,[],[f197,f131]) ).

fof(f197,plain,
    ( ! [X4] :
        ( ~ member(ordered_pair(X4,sK14),sK13)
        | ~ ilf_type(X4,member_type(sK12)) )
    | ~ spl16_2 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f661,plain,
    spl16_35,
    inference(avatar_contradiction_clause,[],[f660]) ).

fof(f660,plain,
    ( $false
    | spl16_35 ),
    inference(resolution,[],[f550,f182]) ).

fof(f182,plain,
    ilf_type(sK13,relation_type(sK12,sK11)),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ( ~ empty(sK12)
    & ilf_type(sK13,relation_type(sK12,sK11))
    & ilf_type(sK14,member_type(sK11))
    & ( ~ member(sK14,range(sK12,sK11,sK13))
      | ! [X4] :
          ( ~ ilf_type(X4,member_type(sK12))
          | ~ member(ordered_pair(X4,sK14),sK13) ) )
    & ( member(sK14,range(sK12,sK11,sK13))
      | ( ilf_type(sK15,member_type(sK12))
        & member(ordered_pair(sK15,sK14),sK13) ) )
    & ilf_type(sK12,set_type)
    & ilf_type(sK11,set_type)
    & ~ empty(sK11) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15])],[f112,f117,f116,f115,f114,f113]) ).

fof(f113,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ~ empty(X1)
            & ? [X2] :
                ( ilf_type(X2,relation_type(X1,X0))
                & ? [X3] :
                    ( ilf_type(X3,member_type(X0))
                    & ( ~ member(X3,range(X1,X0,X2))
                      | ! [X4] :
                          ( ~ ilf_type(X4,member_type(X1))
                          | ~ member(ordered_pair(X4,X3),X2) ) )
                    & ( member(X3,range(X1,X0,X2))
                      | ? [X5] :
                          ( ilf_type(X5,member_type(X1))
                          & member(ordered_pair(X5,X3),X2) ) ) ) )
            & ilf_type(X1,set_type) )
        & ilf_type(X0,set_type)
        & ~ empty(X0) )
   => ( ? [X1] :
          ( ~ empty(X1)
          & ? [X2] :
              ( ilf_type(X2,relation_type(X1,sK11))
              & ? [X3] :
                  ( ilf_type(X3,member_type(sK11))
                  & ( ~ member(X3,range(X1,sK11,X2))
                    | ! [X4] :
                        ( ~ ilf_type(X4,member_type(X1))
                        | ~ member(ordered_pair(X4,X3),X2) ) )
                  & ( member(X3,range(X1,sK11,X2))
                    | ? [X5] :
                        ( ilf_type(X5,member_type(X1))
                        & member(ordered_pair(X5,X3),X2) ) ) ) )
          & ilf_type(X1,set_type) )
      & ilf_type(sK11,set_type)
      & ~ empty(sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f114,plain,
    ( ? [X1] :
        ( ~ empty(X1)
        & ? [X2] :
            ( ilf_type(X2,relation_type(X1,sK11))
            & ? [X3] :
                ( ilf_type(X3,member_type(sK11))
                & ( ~ member(X3,range(X1,sK11,X2))
                  | ! [X4] :
                      ( ~ ilf_type(X4,member_type(X1))
                      | ~ member(ordered_pair(X4,X3),X2) ) )
                & ( member(X3,range(X1,sK11,X2))
                  | ? [X5] :
                      ( ilf_type(X5,member_type(X1))
                      & member(ordered_pair(X5,X3),X2) ) ) ) )
        & ilf_type(X1,set_type) )
   => ( ~ empty(sK12)
      & ? [X2] :
          ( ilf_type(X2,relation_type(sK12,sK11))
          & ? [X3] :
              ( ilf_type(X3,member_type(sK11))
              & ( ~ member(X3,range(sK12,sK11,X2))
                | ! [X4] :
                    ( ~ ilf_type(X4,member_type(sK12))
                    | ~ member(ordered_pair(X4,X3),X2) ) )
              & ( member(X3,range(sK12,sK11,X2))
                | ? [X5] :
                    ( ilf_type(X5,member_type(sK12))
                    & member(ordered_pair(X5,X3),X2) ) ) ) )
      & ilf_type(sK12,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f115,plain,
    ( ? [X2] :
        ( ilf_type(X2,relation_type(sK12,sK11))
        & ? [X3] :
            ( ilf_type(X3,member_type(sK11))
            & ( ~ member(X3,range(sK12,sK11,X2))
              | ! [X4] :
                  ( ~ ilf_type(X4,member_type(sK12))
                  | ~ member(ordered_pair(X4,X3),X2) ) )
            & ( member(X3,range(sK12,sK11,X2))
              | ? [X5] :
                  ( ilf_type(X5,member_type(sK12))
                  & member(ordered_pair(X5,X3),X2) ) ) ) )
   => ( ilf_type(sK13,relation_type(sK12,sK11))
      & ? [X3] :
          ( ilf_type(X3,member_type(sK11))
          & ( ~ member(X3,range(sK12,sK11,sK13))
            | ! [X4] :
                ( ~ ilf_type(X4,member_type(sK12))
                | ~ member(ordered_pair(X4,X3),sK13) ) )
          & ( member(X3,range(sK12,sK11,sK13))
            | ? [X5] :
                ( ilf_type(X5,member_type(sK12))
                & member(ordered_pair(X5,X3),sK13) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f116,plain,
    ( ? [X3] :
        ( ilf_type(X3,member_type(sK11))
        & ( ~ member(X3,range(sK12,sK11,sK13))
          | ! [X4] :
              ( ~ ilf_type(X4,member_type(sK12))
              | ~ member(ordered_pair(X4,X3),sK13) ) )
        & ( member(X3,range(sK12,sK11,sK13))
          | ? [X5] :
              ( ilf_type(X5,member_type(sK12))
              & member(ordered_pair(X5,X3),sK13) ) ) )
   => ( ilf_type(sK14,member_type(sK11))
      & ( ~ member(sK14,range(sK12,sK11,sK13))
        | ! [X4] :
            ( ~ ilf_type(X4,member_type(sK12))
            | ~ member(ordered_pair(X4,sK14),sK13) ) )
      & ( member(sK14,range(sK12,sK11,sK13))
        | ? [X5] :
            ( ilf_type(X5,member_type(sK12))
            & member(ordered_pair(X5,sK14),sK13) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f117,plain,
    ( ? [X5] :
        ( ilf_type(X5,member_type(sK12))
        & member(ordered_pair(X5,sK14),sK13) )
   => ( ilf_type(sK15,member_type(sK12))
      & member(ordered_pair(sK15,sK14),sK13) ) ),
    introduced(choice_axiom,[]) ).

fof(f112,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ empty(X1)
          & ? [X2] :
              ( ilf_type(X2,relation_type(X1,X0))
              & ? [X3] :
                  ( ilf_type(X3,member_type(X0))
                  & ( ~ member(X3,range(X1,X0,X2))
                    | ! [X4] :
                        ( ~ ilf_type(X4,member_type(X1))
                        | ~ member(ordered_pair(X4,X3),X2) ) )
                  & ( member(X3,range(X1,X0,X2))
                    | ? [X5] :
                        ( ilf_type(X5,member_type(X1))
                        & member(ordered_pair(X5,X3),X2) ) ) ) )
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type)
      & ~ empty(X0) ),
    inference(rectify,[],[f111]) ).

fof(f111,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ empty(X1)
          & ? [X2] :
              ( ilf_type(X2,relation_type(X1,X0))
              & ? [X3] :
                  ( ilf_type(X3,member_type(X0))
                  & ( ~ member(X3,range(X1,X0,X2))
                    | ! [X4] :
                        ( ~ ilf_type(X4,member_type(X1))
                        | ~ member(ordered_pair(X4,X3),X2) ) )
                  & ( member(X3,range(X1,X0,X2))
                    | ? [X4] :
                        ( ilf_type(X4,member_type(X1))
                        & member(ordered_pair(X4,X3),X2) ) ) ) )
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type)
      & ~ empty(X0) ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ empty(X1)
          & ? [X2] :
              ( ilf_type(X2,relation_type(X1,X0))
              & ? [X3] :
                  ( ilf_type(X3,member_type(X0))
                  & ( ~ member(X3,range(X1,X0,X2))
                    | ! [X4] :
                        ( ~ ilf_type(X4,member_type(X1))
                        | ~ member(ordered_pair(X4,X3),X2) ) )
                  & ( member(X3,range(X1,X0,X2))
                    | ? [X4] :
                        ( ilf_type(X4,member_type(X1))
                        & member(ordered_pair(X4,X3),X2) ) ) ) )
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type)
      & ~ empty(X0) ),
    inference(nnf_transformation,[],[f67]) ).

fof(f67,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ empty(X1)
          & ? [X2] :
              ( ilf_type(X2,relation_type(X1,X0))
              & ? [X3] :
                  ( ilf_type(X3,member_type(X0))
                  & ( ? [X4] :
                        ( ilf_type(X4,member_type(X1))
                        & member(ordered_pair(X4,X3),X2) )
                  <~> member(X3,range(X1,X0,X2)) ) ) )
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type)
      & ~ empty(X0) ),
    inference(flattening,[],[f66]) ).

fof(f66,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ilf_type(X2,relation_type(X1,X0))
              & ? [X3] :
                  ( ilf_type(X3,member_type(X0))
                  & ( ? [X4] :
                        ( ilf_type(X4,member_type(X1))
                        & member(ordered_pair(X4,X3),X2) )
                  <~> member(X3,range(X1,X0,X2)) ) ) )
          & ilf_type(X1,set_type)
          & ~ empty(X1) )
      & ~ empty(X0)
      & ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f33]) ).

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

fof(f32,conjecture,
    ! [X0] :
      ( ( ~ empty(X0)
        & ilf_type(X0,set_type) )
     => ! [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] :
                        ( ilf_type(X4,member_type(X1))
                        & member(ordered_pair(X4,X3),X2) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_48) ).

fof(f550,plain,
    ( ~ ilf_type(sK13,relation_type(sK12,sK11))
    | spl16_35 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f650,plain,
    ( ~ spl16_28
    | ~ spl16_35
    | spl16_34
    | ~ spl16_26
    | ~ spl16_1 ),
    inference(avatar_split_clause,[],[f649,f192,f435,f532,f548,f444]) ).

fof(f192,plain,
    ( spl16_1
  <=> member(sK14,range(sK12,sK11,sK13)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).

fof(f649,plain,
    ( ~ ilf_type(sK12,set_type)
    | member(sK14,range_of(sK13))
    | ~ ilf_type(sK13,relation_type(sK12,sK11))
    | ~ ilf_type(sK11,set_type)
    | ~ spl16_1 ),
    inference(superposition,[],[f193,f163]) ).

fof(f163,plain,
    ! [X2,X0,X1] :
      ( range_of(X2) = range(X0,X1,X2)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ! [X2] :
              ( ~ ilf_type(X2,relation_type(X0,X1))
              | range_of(X2) = range(X0,X1,X2) )
          | ~ ilf_type(X1,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/sandbox2/benchmark/theBenchmark.p',p29) ).

fof(f193,plain,
    ( member(sK14,range(sK12,sK11,sK13))
    | ~ spl16_1 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f575,plain,
    ( ~ spl16_33
    | spl16_34
    | ~ spl16_22
    | ~ spl16_21
    | ~ spl16_7 ),
    inference(avatar_split_clause,[],[f570,f216,f327,f331,f532,f528]) ).

fof(f327,plain,
    ( spl16_21
  <=> ilf_type(sK15,set_type) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_21])]) ).

fof(f216,plain,
    ( spl16_7
  <=> member(ordered_pair(sK15,sK14),sK13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).

fof(f570,plain,
    ( ~ ilf_type(sK15,set_type)
    | ~ ilf_type(sK14,set_type)
    | member(sK14,range_of(sK13))
    | ~ ilf_type(sK13,binary_relation_type)
    | ~ spl16_7 ),
    inference(resolution,[],[f171,f218]) ).

fof(f218,plain,
    ( member(ordered_pair(sK15,sK14),sK13)
    | ~ spl16_7 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f171,plain,
    ! [X2,X0,X1] :
      ( ~ member(ordered_pair(X0,X1),X2)
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X2,binary_relation_type)
      | ~ ilf_type(X1,set_type)
      | member(X1,range_of(X2)) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ! [X2] :
              ( ~ member(ordered_pair(X0,X1),X2)
              | ( member(X1,range_of(X2))
                & member(X0,domain_of(X2)) )
              | ~ ilf_type(X2,binary_relation_type) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f43]) ).

fof(f43,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/sandbox2/benchmark/theBenchmark.p',p2) ).

fof(f551,plain,
    ( ~ spl16_35
    | ~ spl16_34
    | ~ spl16_28
    | ~ spl16_26
    | spl16_1 ),
    inference(avatar_split_clause,[],[f544,f192,f435,f444,f532,f548]) ).

fof(f544,plain,
    ( ~ ilf_type(sK12,set_type)
    | ~ ilf_type(sK11,set_type)
    | ~ member(sK14,range_of(sK13))
    | ~ ilf_type(sK13,relation_type(sK12,sK11))
    | spl16_1 ),
    inference(superposition,[],[f194,f163]) ).

fof(f194,plain,
    ( ~ member(sK14,range(sK12,sK11,sK13))
    | spl16_1 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f541,plain,
    spl16_22,
    inference(avatar_contradiction_clause,[],[f540]) ).

fof(f540,plain,
    ( $false
    | spl16_22 ),
    inference(resolution,[],[f333,f138]) ).

fof(f333,plain,
    ( ~ ilf_type(sK14,set_type)
    | spl16_22 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f479,plain,
    ~ spl16_9,
    inference(avatar_contradiction_clause,[],[f475]) ).

fof(f475,plain,
    ( $false
    | ~ spl16_9 ),
    inference(resolution,[],[f236,f183]) ).

fof(f183,plain,
    ~ empty(sK12),
    inference(cnf_transformation,[],[f118]) ).

fof(f236,plain,
    ( empty(sK12)
    | ~ spl16_9 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f474,plain,
    spl16_26,
    inference(avatar_contradiction_clause,[],[f471]) ).

fof(f471,plain,
    ( $false
    | spl16_26 ),
    inference(resolution,[],[f437,f177]) ).

fof(f177,plain,
    ilf_type(sK12,set_type),
    inference(cnf_transformation,[],[f118]) ).

fof(f437,plain,
    ( ~ ilf_type(sK12,set_type)
    | spl16_26 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f469,plain,
    spl16_21,
    inference(avatar_contradiction_clause,[],[f468]) ).

fof(f468,plain,
    ( $false
    | spl16_21 ),
    inference(resolution,[],[f329,f138]) ).

fof(f329,plain,
    ( ~ ilf_type(sK15,set_type)
    | spl16_21 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f455,plain,
    spl16_28,
    inference(avatar_contradiction_clause,[],[f452]) ).

fof(f452,plain,
    ( $false
    | spl16_28 ),
    inference(resolution,[],[f446,f176]) ).

fof(f176,plain,
    ilf_type(sK11,set_type),
    inference(cnf_transformation,[],[f118]) ).

fof(f446,plain,
    ( ~ ilf_type(sK11,set_type)
    | spl16_28 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f219,plain,
    ( spl16_7
    | spl16_1 ),
    inference(avatar_split_clause,[],[f178,f192,f216]) ).

fof(f178,plain,
    ( member(sK14,range(sK12,sK11,sK13))
    | member(ordered_pair(sK15,sK14),sK13) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f198,plain,
    ( ~ spl16_1
    | spl16_2 ),
    inference(avatar_split_clause,[],[f180,f196,f192]) ).

fof(f180,plain,
    ! [X4] :
      ( ~ member(ordered_pair(X4,sK14),sK13)
      | ~ member(sK14,range(sK12,sK11,sK13))
      | ~ ilf_type(X4,member_type(sK12)) ),
    inference(cnf_transformation,[],[f118]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET681+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 14:14:48 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  % (31823)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)
% 0.21/0.49  % (31831)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.50  % (31831)Instruction limit reached!
% 0.21/0.50  % (31831)------------------------------
% 0.21/0.50  % (31831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (31831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (31831)Termination reason: Unknown
% 0.21/0.50  % (31831)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (31831)Memory used [KB]: 6012
% 0.21/0.50  % (31831)Time elapsed: 0.005 s
% 0.21/0.50  % (31831)Instructions burned: 4 (million)
% 0.21/0.50  % (31831)------------------------------
% 0.21/0.50  % (31831)------------------------------
% 0.21/0.50  % (31839)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.21/0.52  % (31829)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.21/0.52  % (31817)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.21/0.52  % (31821)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)
% 1.21/0.53  % (31818)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)
% 1.21/0.53  % (31830)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)
% 1.21/0.53  % (31828)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)
% 1.21/0.53  % (31819)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)
% 1.21/0.53  % (31844)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)
% 1.21/0.53  % (31836)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  % (31820)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)
% 1.42/0.54  % (31822)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)
% 1.42/0.54  % (31823)Instruction limit reached!
% 1.42/0.54  % (31823)------------------------------
% 1.42/0.54  % (31823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54  % (31823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54  % (31823)Termination reason: Unknown
% 1.42/0.54  % (31823)Termination phase: Saturation
% 1.42/0.54  
% 1.42/0.54  % (31823)Memory used [KB]: 6396
% 1.42/0.54  % (31823)Time elapsed: 0.137 s
% 1.42/0.54  % (31823)Instructions burned: 39 (million)
% 1.42/0.54  % (31823)------------------------------
% 1.42/0.54  % (31823)------------------------------
% 1.42/0.54  % (31841)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)
% 1.42/0.54  % (31836)Instruction limit reached!
% 1.42/0.54  % (31836)------------------------------
% 1.42/0.54  % (31836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54  % (31836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54  % (31836)Termination reason: Unknown
% 1.42/0.54  % (31836)Termination phase: Saturation
% 1.42/0.54  
% 1.42/0.54  % (31836)Memory used [KB]: 6268
% 1.42/0.54  % (31836)Time elapsed: 0.134 s
% 1.42/0.54  % (31836)Instructions burned: 11 (million)
% 1.42/0.54  % (31836)------------------------------
% 1.42/0.54  % (31836)------------------------------
% 1.42/0.54  % (31837)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.42/0.54  % (31838)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)
% 1.42/0.54  % (31842)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)
% 1.42/0.54  % (31833)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)
% 1.42/0.54  % (31825)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)
% 1.42/0.54  % (31829)Instruction limit reached!
% 1.42/0.54  % (31829)------------------------------
% 1.42/0.54  % (31829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54  % (31829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54  % (31829)Termination reason: Unknown
% 1.42/0.54  % (31829)Termination phase: Saturation
% 1.42/0.54  
% 1.42/0.54  % (31829)Memory used [KB]: 1663
% 1.42/0.54  % (31829)Time elapsed: 0.140 s
% 1.42/0.54  % (31829)Instructions burned: 16 (million)
% 1.42/0.54  % (31829)------------------------------
% 1.42/0.54  % (31829)------------------------------
% 1.42/0.55  % (31824)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)
% 1.42/0.55  % (31845)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)
% 1.42/0.55  % (31846)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)
% 1.42/0.55  % (31843)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)
% 1.42/0.55  % (31845)Instruction limit reached!
% 1.42/0.55  % (31845)------------------------------
% 1.42/0.55  % (31845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55  % (31845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55  % (31845)Termination reason: Unknown
% 1.42/0.55  % (31845)Termination phase: Saturation
% 1.42/0.55  
% 1.42/0.55  % (31845)Memory used [KB]: 6140
% 1.42/0.55  % (31845)Time elapsed: 0.148 s
% 1.42/0.55  % (31845)Instructions burned: 8 (million)
% 1.42/0.55  % (31845)------------------------------
% 1.42/0.55  % (31845)------------------------------
% 1.42/0.55  % (31827)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)
% 1.42/0.55  % (31818)Refutation not found, incomplete strategy% (31818)------------------------------
% 1.42/0.55  % (31818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55  % (31818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55  % (31818)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.55  
% 1.42/0.55  % (31818)Memory used [KB]: 6140
% 1.42/0.55  % (31818)Time elapsed: 0.126 s
% 1.42/0.55  % (31818)Instructions burned: 7 (million)
% 1.42/0.55  % (31818)------------------------------
% 1.42/0.55  % (31818)------------------------------
% 1.42/0.55  % (31821)Instruction limit reached!
% 1.42/0.55  % (31821)------------------------------
% 1.42/0.55  % (31821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55  % (31821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55  % (31821)Termination reason: Unknown
% 1.42/0.55  % (31821)Termination phase: Saturation
% 1.42/0.55  
% 1.42/0.55  % (31821)Memory used [KB]: 6140
% 1.42/0.55  % (31821)Time elapsed: 0.150 s
% 1.42/0.55  % (31821)Instructions burned: 13 (million)
% 1.42/0.55  % (31821)------------------------------
% 1.42/0.55  % (31821)------------------------------
% 1.42/0.55  % (31840)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)
% 1.42/0.55  % (31826)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)
% 1.42/0.55  % (31828)Instruction limit reached!
% 1.42/0.55  % (31828)------------------------------
% 1.42/0.55  % (31828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55  % (31828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55  % (31828)Termination reason: Unknown
% 1.42/0.55  % (31828)Termination phase: Saturation
% 1.42/0.55  
% 1.42/0.55  % (31828)Memory used [KB]: 6140
% 1.42/0.55  % (31828)Time elapsed: 0.141 s
% 1.42/0.55  % (31828)Instructions burned: 8 (million)
% 1.42/0.55  % (31828)------------------------------
% 1.42/0.55  % (31828)------------------------------
% 1.42/0.55  % (31819)Instruction limit reached!
% 1.42/0.55  % (31819)------------------------------
% 1.42/0.55  % (31819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55  % (31819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55  % (31819)Termination reason: Unknown
% 1.42/0.55  % (31819)Termination phase: Property scanning
% 1.42/0.55  
% 1.42/0.55  % (31819)Memory used [KB]: 1535
% 1.42/0.55  % (31819)Time elapsed: 0.003 s
% 1.42/0.55  % (31819)Instructions burned: 4 (million)
% 1.42/0.55  % (31819)------------------------------
% 1.42/0.55  % (31819)------------------------------
% 1.42/0.56  % (31835)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)
% 1.42/0.56  % (31835)Instruction limit reached!
% 1.42/0.56  % (31835)------------------------------
% 1.42/0.56  % (31835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (31835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (31835)Termination reason: Unknown
% 1.42/0.56  % (31835)Termination phase: Saturation
% 1.42/0.56  
% 1.42/0.56  % (31835)Memory used [KB]: 1535
% 1.42/0.56  % (31835)Time elapsed: 0.003 s
% 1.42/0.56  % (31835)Instructions burned: 3 (million)
% 1.42/0.56  % (31835)------------------------------
% 1.42/0.56  % (31835)------------------------------
% 1.42/0.56  % (31834)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.42/0.56  % (31834)Instruction limit reached!
% 1.42/0.56  % (31834)------------------------------
% 1.42/0.56  % (31834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (31834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (31834)Termination reason: Unknown
% 1.42/0.56  % (31834)Termination phase: Preprocessing 3
% 1.42/0.56  
% 1.42/0.56  % (31834)Memory used [KB]: 1407
% 1.42/0.56  % (31834)Time elapsed: 0.002 s
% 1.42/0.56  % (31834)Instructions burned: 3 (million)
% 1.42/0.56  % (31834)------------------------------
% 1.42/0.56  % (31834)------------------------------
% 1.42/0.56  % (31832)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)
% 1.42/0.56  % (31820)Refutation not found, incomplete strategy% (31820)------------------------------
% 1.42/0.56  % (31820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (31820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (31820)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.56  
% 1.42/0.56  % (31820)Memory used [KB]: 6140
% 1.42/0.56  % (31820)Time elapsed: 0.138 s
% 1.42/0.56  % (31820)Instructions burned: 11 (million)
% 1.42/0.56  % (31820)------------------------------
% 1.42/0.56  % (31820)------------------------------
% 1.42/0.56  % (31832)Instruction limit reached!
% 1.42/0.56  % (31832)------------------------------
% 1.42/0.56  % (31832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (31832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (31832)Termination reason: Unknown
% 1.42/0.56  % (31832)Termination phase: Saturation
% 1.42/0.56  
% 1.42/0.56  % (31832)Memory used [KB]: 6140
% 1.42/0.56  % (31832)Time elapsed: 0.157 s
% 1.42/0.56  % (31832)Instructions burned: 7 (million)
% 1.42/0.56  % (31832)------------------------------
% 1.42/0.56  % (31832)------------------------------
% 1.42/0.56  % (31822)Instruction limit reached!
% 1.42/0.56  % (31822)------------------------------
% 1.42/0.56  % (31822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (31822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (31822)Termination reason: Unknown
% 1.42/0.56  % (31822)Termination phase: Saturation
% 1.42/0.56  
% 1.42/0.56  % (31822)Memory used [KB]: 1663
% 1.42/0.56  % (31822)Time elapsed: 0.137 s
% 1.42/0.56  % (31822)Instructions burned: 15 (million)
% 1.42/0.56  % (31822)------------------------------
% 1.42/0.56  % (31822)------------------------------
% 1.42/0.57  % (31827)Instruction limit reached!
% 1.42/0.57  % (31827)------------------------------
% 1.42/0.57  % (31827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57  % (31827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.57  % (31827)Termination reason: Unknown
% 1.42/0.57  % (31827)Termination phase: Saturation
% 1.42/0.57  
% 1.42/0.57  % (31827)Memory used [KB]: 6140
% 1.42/0.57  % (31827)Time elapsed: 0.151 s
% 1.42/0.57  % (31827)Instructions burned: 12 (million)
% 1.42/0.57  % (31827)------------------------------
% 1.42/0.57  % (31827)------------------------------
% 1.42/0.57  % (31839)First to succeed.
% 1.42/0.58  % (31839)Refutation found. Thanks to Tanya!
% 1.42/0.58  % SZS status Theorem for theBenchmark
% 1.42/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.58  % (31839)------------------------------
% 1.42/0.58  % (31839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.58  % (31839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.58  % (31839)Termination reason: Refutation
% 1.42/0.58  
% 1.42/0.58  % (31839)Memory used [KB]: 7164
% 1.42/0.58  % (31839)Time elapsed: 0.177 s
% 1.42/0.58  % (31839)Instructions burned: 67 (million)
% 1.42/0.58  % (31839)------------------------------
% 1.42/0.58  % (31839)------------------------------
% 1.42/0.58  % (31816)Success in time 0.216 s
%------------------------------------------------------------------------------