TSTP Solution File: SET930+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET930+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n007.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 18:26:07 EDT 2022

% Result   : Theorem 5.60s 1.13s
% Output   : Refutation 5.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   88 (  11 unt;   0 def)
%            Number of atoms       :  257 ( 135 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  304 ( 135   ~; 110   |;  50   &)
%                                         (   7 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  136 ( 127   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2050,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1514,f1746,f1776,f2049]) ).

fof(f2049,plain,
    ( ~ spl5_1
    | spl5_2 ),
    inference(avatar_contradiction_clause,[],[f2048]) ).

fof(f2048,plain,
    ( $false
    | ~ spl5_1
    | spl5_2 ),
    inference(subsumption_resolution,[],[f2047,f43]) ).

fof(f43,plain,
    singleton(sK4) != set_difference(unordered_pair(sK3,sK4),sK2),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ( empty_set != set_difference(unordered_pair(sK3,sK4),sK2)
    & unordered_pair(sK3,sK4) != set_difference(unordered_pair(sK3,sK4),sK2)
    & set_difference(unordered_pair(sK3,sK4),sK2) != singleton(sK3)
    & singleton(sK4) != set_difference(unordered_pair(sK3,sK4),sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f27,f28]) ).

fof(f28,plain,
    ( ? [X0,X1,X2] :
        ( empty_set != set_difference(unordered_pair(X1,X2),X0)
        & unordered_pair(X1,X2) != set_difference(unordered_pair(X1,X2),X0)
        & singleton(X1) != set_difference(unordered_pair(X1,X2),X0)
        & set_difference(unordered_pair(X1,X2),X0) != singleton(X2) )
   => ( empty_set != set_difference(unordered_pair(sK3,sK4),sK2)
      & unordered_pair(sK3,sK4) != set_difference(unordered_pair(sK3,sK4),sK2)
      & set_difference(unordered_pair(sK3,sK4),sK2) != singleton(sK3)
      & singleton(sK4) != set_difference(unordered_pair(sK3,sK4),sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ? [X0,X1,X2] :
      ( empty_set != set_difference(unordered_pair(X1,X2),X0)
      & unordered_pair(X1,X2) != set_difference(unordered_pair(X1,X2),X0)
      & singleton(X1) != set_difference(unordered_pair(X1,X2),X0)
      & set_difference(unordered_pair(X1,X2),X0) != singleton(X2) ),
    inference(rectify,[],[f14]) ).

fof(f14,plain,
    ? [X0,X2,X1] :
      ( empty_set != set_difference(unordered_pair(X2,X1),X0)
      & unordered_pair(X2,X1) != set_difference(unordered_pair(X2,X1),X0)
      & set_difference(unordered_pair(X2,X1),X0) != singleton(X2)
      & singleton(X1) != set_difference(unordered_pair(X2,X1),X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,plain,
    ~ ! [X2,X0,X1] :
        ~ ( empty_set != set_difference(unordered_pair(X2,X1),X0)
          & unordered_pair(X2,X1) != set_difference(unordered_pair(X2,X1),X0)
          & set_difference(unordered_pair(X2,X1),X0) != singleton(X2)
          & singleton(X1) != set_difference(unordered_pair(X2,X1),X0) ),
    inference(rectify,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ ! [X2,X1,X0] :
        ~ ( empty_set != set_difference(unordered_pair(X0,X1),X2)
          & set_difference(unordered_pair(X0,X1),X2) != singleton(X0)
          & set_difference(unordered_pair(X0,X1),X2) != singleton(X1)
          & unordered_pair(X0,X1) != set_difference(unordered_pair(X0,X1),X2) ),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    ! [X2,X1,X0] :
      ~ ( empty_set != set_difference(unordered_pair(X0,X1),X2)
        & set_difference(unordered_pair(X0,X1),X2) != singleton(X0)
        & set_difference(unordered_pair(X0,X1),X2) != singleton(X1)
        & unordered_pair(X0,X1) != set_difference(unordered_pair(X0,X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t74_zfmisc_1) ).

fof(f2047,plain,
    ( singleton(sK4) = set_difference(unordered_pair(sK3,sK4),sK2)
    | ~ spl5_1
    | spl5_2 ),
    inference(forward_demodulation,[],[f2044,f47]) ).

fof(f47,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).

fof(f2044,plain,
    ( singleton(sK4) = set_difference(unordered_pair(sK4,sK3),sK2)
    | ~ spl5_1
    | spl5_2 ),
    inference(resolution,[],[f1836,f1750]) ).

fof(f1750,plain,
    ( ~ in(sK4,sK2)
    | ~ spl5_1 ),
    inference(trivial_inequality_removal,[],[f1749]) ).

fof(f1749,plain,
    ( singleton(sK4) != singleton(sK4)
    | ~ in(sK4,sK2)
    | ~ spl5_1 ),
    inference(superposition,[],[f145,f1509]) ).

fof(f1509,plain,
    ( set_difference(singleton(sK4),sK2) = singleton(sK4)
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f1507]) ).

fof(f1507,plain,
    ( spl5_1
  <=> set_difference(singleton(sK4),sK2) = singleton(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f145,plain,
    ! [X4,X5] :
      ( set_difference(singleton(X4),X5) != singleton(X4)
      | ~ in(X4,X5) ),
    inference(superposition,[],[f39,f142]) ).

fof(f142,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(forward_demodulation,[],[f138,f119]) ).

fof(f119,plain,
    ! [X0] : singleton(X0) = set_difference(unordered_pair(X0,X0),X0),
    inference(trivial_inequality_removal,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( singleton(X0) != singleton(X0)
      | singleton(X0) = set_difference(unordered_pair(X0,X0),X0) ),
    inference(equality_factoring,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( singleton(X1) = set_difference(unordered_pair(X1,X1),X0)
      | singleton(X0) = set_difference(unordered_pair(X0,X0),X1) ),
    inference(resolution,[],[f59,f52]) ).

fof(f52,plain,
    ! [X2,X1] :
      ( in(X1,X2)
      | singleton(X1) = set_difference(unordered_pair(X1,X1),X2) ),
    inference(equality_resolution,[],[f49]) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( set_difference(unordered_pair(X0,X1),X2) = singleton(X0)
      | in(X0,X2)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( ( ( ~ in(X0,X2)
          & ( X0 = X1
            | in(X1,X2) ) )
        | set_difference(unordered_pair(X0,X1),X2) != singleton(X0) )
      & ( set_difference(unordered_pair(X0,X1),X2) = singleton(X0)
        | in(X0,X2)
        | ( X0 != X1
          & ~ in(X1,X2) ) ) ),
    inference(rectify,[],[f31]) ).

fof(f31,plain,
    ! [X2,X1,X0] :
      ( ( ( ~ in(X2,X0)
          & ( X1 = X2
            | in(X1,X0) ) )
        | set_difference(unordered_pair(X2,X1),X0) != singleton(X2) )
      & ( set_difference(unordered_pair(X2,X1),X0) = singleton(X2)
        | in(X2,X0)
        | ( X1 != X2
          & ~ in(X1,X0) ) ) ),
    inference(flattening,[],[f30]) ).

fof(f30,plain,
    ! [X2,X1,X0] :
      ( ( ( ~ in(X2,X0)
          & ( X1 = X2
            | in(X1,X0) ) )
        | set_difference(unordered_pair(X2,X1),X0) != singleton(X2) )
      & ( set_difference(unordered_pair(X2,X1),X0) = singleton(X2)
        | in(X2,X0)
        | ( X1 != X2
          & ~ in(X1,X0) ) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X2,X1,X0] :
      ( ( ~ in(X2,X0)
        & ( X1 = X2
          | in(X1,X0) ) )
    <=> set_difference(unordered_pair(X2,X1),X0) = singleton(X2) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X1,X0] :
      ( set_difference(unordered_pair(X0,X1),X2) = singleton(X0)
    <=> ( ( X0 = X1
          | in(X1,X2) )
        & ~ in(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l39_zfmisc_1) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | singleton(X0) = set_difference(unordered_pair(X0,X0),X1) ),
    inference(resolution,[],[f52,f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(rectify,[],[f15]) ).

fof(f15,plain,
    ! [X1,X0] :
      ( ~ in(X0,X1)
      | ~ in(X1,X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => ~ in(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

fof(f138,plain,
    ! [X0] : unordered_pair(X0,X0) = set_difference(unordered_pair(X0,X0),X0),
    inference(resolution,[],[f134,f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | unordered_pair(X0,X0) = set_difference(unordered_pair(X0,X0),X1) ),
    inference(factoring,[],[f41]) ).

fof(f41,plain,
    ! [X2,X0,X1] :
      ( in(X2,X0)
      | in(X1,X0)
      | unordered_pair(X1,X2) = set_difference(unordered_pair(X1,X2),X0) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( ( unordered_pair(X1,X2) = set_difference(unordered_pair(X1,X2),X0)
        | in(X2,X0)
        | in(X1,X0) )
      & ( ( ~ in(X2,X0)
          & ~ in(X1,X0) )
        | unordered_pair(X1,X2) != set_difference(unordered_pair(X1,X2),X0) ) ),
    inference(rectify,[],[f23]) ).

fof(f23,plain,
    ! [X0,X2,X1] :
      ( ( unordered_pair(X2,X1) = set_difference(unordered_pair(X2,X1),X0)
        | in(X1,X0)
        | in(X2,X0) )
      & ( ( ~ in(X1,X0)
          & ~ in(X2,X0) )
        | unordered_pair(X2,X1) != set_difference(unordered_pair(X2,X1),X0) ) ),
    inference(flattening,[],[f22]) ).

fof(f22,plain,
    ! [X0,X2,X1] :
      ( ( unordered_pair(X2,X1) = set_difference(unordered_pair(X2,X1),X0)
        | in(X1,X0)
        | in(X2,X0) )
      & ( ( ~ in(X1,X0)
          & ~ in(X2,X0) )
        | unordered_pair(X2,X1) != set_difference(unordered_pair(X2,X1),X0) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0,X2,X1] :
      ( unordered_pair(X2,X1) = set_difference(unordered_pair(X2,X1),X0)
    <=> ( ~ in(X1,X0)
        & ~ in(X2,X0) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X2,X1,X0] :
      ( ( ~ in(X1,X2)
        & ~ in(X0,X2) )
    <=> unordered_pair(X0,X1) = set_difference(unordered_pair(X0,X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t72_zfmisc_1) ).

fof(f134,plain,
    ! [X7] : ~ in(X7,X7),
    inference(trivial_inequality_removal,[],[f131]) ).

fof(f131,plain,
    ! [X7] :
      ( ~ in(X7,X7)
      | singleton(X7) != singleton(X7) ),
    inference(superposition,[],[f51,f119]) ).

fof(f51,plain,
    ! [X2,X0,X1] :
      ( set_difference(unordered_pair(X0,X1),X2) != singleton(X0)
      | ~ in(X0,X2) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( unordered_pair(X1,X2) != set_difference(unordered_pair(X1,X2),X0)
      | ~ in(X1,X0) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f1836,plain,
    ( ! [X1] :
        ( in(X1,sK2)
        | singleton(X1) = set_difference(unordered_pair(X1,sK3),sK2) )
    | spl5_2 ),
    inference(resolution,[],[f1829,f48]) ).

fof(f48,plain,
    ! [X2,X0,X1] :
      ( ~ in(X1,X2)
      | in(X0,X2)
      | set_difference(unordered_pair(X0,X1),X2) = singleton(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f1829,plain,
    ( in(sK3,sK2)
    | spl5_2 ),
    inference(trivial_inequality_removal,[],[f1817]) ).

fof(f1817,plain,
    ( in(sK3,sK2)
    | empty_set != empty_set
    | spl5_2 ),
    inference(superposition,[],[f143,f1789]) ).

fof(f1789,plain,
    ( empty_set = set_difference(singleton(sK3),sK2)
    | spl5_2 ),
    inference(trivial_inequality_removal,[],[f1786]) ).

fof(f1786,plain,
    ( empty_set = set_difference(singleton(sK3),sK2)
    | singleton(sK3) != singleton(sK3)
    | spl5_2 ),
    inference(superposition,[],[f1512,f1492]) ).

fof(f1492,plain,
    ! [X6,X7] :
      ( set_difference(singleton(X6),X7) = singleton(X6)
      | empty_set = set_difference(singleton(X6),X7) ),
    inference(duplicate_literal_removal,[],[f1427]) ).

fof(f1427,plain,
    ! [X6,X7] :
      ( set_difference(singleton(X6),X7) = singleton(X6)
      | set_difference(singleton(X6),X7) = singleton(X6)
      | empty_set = set_difference(singleton(X6),X7) ),
    inference(superposition,[],[f310,f142]) ).

fof(f310,plain,
    ! [X8,X6,X7] :
      ( empty_set = set_difference(unordered_pair(X8,X6),X7)
      | singleton(X8) = set_difference(singleton(X8),X7)
      | set_difference(singleton(X6),X7) = singleton(X6) ),
    inference(forward_demodulation,[],[f306,f142]) ).

fof(f306,plain,
    ! [X8,X6,X7] :
      ( empty_set = set_difference(unordered_pair(X8,X6),X7)
      | unordered_pair(X8,X8) = set_difference(unordered_pair(X8,X8),X7)
      | set_difference(singleton(X6),X7) = singleton(X6) ),
    inference(resolution,[],[f156,f81]) ).

fof(f156,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,X1)
      | set_difference(singleton(X2),X1) = singleton(X2)
      | empty_set = set_difference(unordered_pair(X0,X2),X1) ),
    inference(forward_demodulation,[],[f67,f142]) ).

fof(f67,plain,
    ! [X2,X0,X1] :
      ( set_difference(unordered_pair(X2,X2),X1) = singleton(X2)
      | ~ in(X0,X1)
      | empty_set = set_difference(unordered_pair(X0,X2),X1) ),
    inference(resolution,[],[f34,f52]) ).

fof(f34,plain,
    ! [X2,X0,X1] :
      ( ~ in(X2,X1)
      | ~ in(X0,X1)
      | empty_set = set_difference(unordered_pair(X0,X2),X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X0,X1)
          & in(X2,X1) )
        | empty_set != set_difference(unordered_pair(X0,X2),X1) )
      & ( empty_set = set_difference(unordered_pair(X0,X2),X1)
        | ~ in(X0,X1)
        | ~ in(X2,X1) ) ),
    inference(rectify,[],[f17]) ).

fof(f17,plain,
    ! [X0,X2,X1] :
      ( ( ( in(X0,X2)
          & in(X1,X2) )
        | empty_set != set_difference(unordered_pair(X0,X1),X2) )
      & ( empty_set = set_difference(unordered_pair(X0,X1),X2)
        | ~ in(X0,X2)
        | ~ in(X1,X2) ) ),
    inference(flattening,[],[f16]) ).

fof(f16,plain,
    ! [X0,X2,X1] :
      ( ( ( in(X0,X2)
          & in(X1,X2) )
        | empty_set != set_difference(unordered_pair(X0,X1),X2) )
      & ( empty_set = set_difference(unordered_pair(X0,X1),X2)
        | ~ in(X0,X2)
        | ~ in(X1,X2) ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X2,X1] :
      ( ( in(X0,X2)
        & in(X1,X2) )
    <=> empty_set = set_difference(unordered_pair(X0,X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t73_zfmisc_1) ).

fof(f1512,plain,
    ( set_difference(singleton(sK3),sK2) != singleton(sK3)
    | spl5_2 ),
    inference(avatar_component_clause,[],[f1511]) ).

fof(f1511,plain,
    ( spl5_2
  <=> set_difference(singleton(sK3),sK2) = singleton(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( empty_set != set_difference(singleton(X0),X1)
      | in(X0,X1) ),
    inference(superposition,[],[f35,f142]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( empty_set != set_difference(unordered_pair(X0,X2),X1)
      | in(X2,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f1776,plain,
    ( ~ spl5_1
    | ~ spl5_2 ),
    inference(avatar_contradiction_clause,[],[f1775]) ).

fof(f1775,plain,
    ( $false
    | ~ spl5_1
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f1752,f45]) ).

fof(f45,plain,
    unordered_pair(sK3,sK4) != set_difference(unordered_pair(sK3,sK4),sK2),
    inference(cnf_transformation,[],[f29]) ).

fof(f1752,plain,
    ( unordered_pair(sK3,sK4) = set_difference(unordered_pair(sK3,sK4),sK2)
    | ~ spl5_1
    | ~ spl5_2 ),
    inference(resolution,[],[f1750,f1524]) ).

fof(f1524,plain,
    ( ! [X0] :
        ( in(X0,sK2)
        | unordered_pair(sK3,X0) = set_difference(unordered_pair(sK3,X0),sK2) )
    | ~ spl5_2 ),
    inference(resolution,[],[f1523,f41]) ).

fof(f1523,plain,
    ( ~ in(sK3,sK2)
    | ~ spl5_2 ),
    inference(trivial_inequality_removal,[],[f1522]) ).

fof(f1522,plain,
    ( singleton(sK3) != singleton(sK3)
    | ~ in(sK3,sK2)
    | ~ spl5_2 ),
    inference(superposition,[],[f145,f1513]) ).

fof(f1513,plain,
    ( set_difference(singleton(sK3),sK2) = singleton(sK3)
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f1511]) ).

fof(f1746,plain,
    ( spl5_1
    | ~ spl5_2 ),
    inference(avatar_split_clause,[],[f1728,f1511,f1507]) ).

fof(f1728,plain,
    ( set_difference(singleton(sK4),sK2) = singleton(sK4)
    | ~ spl5_2 ),
    inference(trivial_inequality_removal,[],[f1706]) ).

fof(f1706,plain,
    ( singleton(sK3) != singleton(sK3)
    | set_difference(singleton(sK4),sK2) = singleton(sK4)
    | ~ spl5_2 ),
    inference(superposition,[],[f44,f1534]) ).

fof(f1534,plain,
    ( ! [X6] :
        ( singleton(sK3) = set_difference(unordered_pair(sK3,X6),sK2)
        | set_difference(singleton(X6),sK2) = singleton(X6) )
    | ~ spl5_2 ),
    inference(resolution,[],[f1523,f314]) ).

fof(f314,plain,
    ! [X2,X0,X1] :
      ( in(X0,X1)
      | set_difference(singleton(X2),X1) = singleton(X2)
      | singleton(X0) = set_difference(unordered_pair(X0,X2),X1) ),
    inference(forward_demodulation,[],[f68,f142]) ).

fof(f68,plain,
    ! [X2,X0,X1] :
      ( in(X0,X1)
      | singleton(X0) = set_difference(unordered_pair(X0,X2),X1)
      | set_difference(unordered_pair(X2,X2),X1) = singleton(X2) ),
    inference(resolution,[],[f48,f52]) ).

fof(f44,plain,
    set_difference(unordered_pair(sK3,sK4),sK2) != singleton(sK3),
    inference(cnf_transformation,[],[f29]) ).

fof(f1514,plain,
    ( spl5_1
    | spl5_2 ),
    inference(avatar_split_clause,[],[f1495,f1511,f1507]) ).

fof(f1495,plain,
    ( set_difference(singleton(sK3),sK2) = singleton(sK3)
    | set_difference(singleton(sK4),sK2) = singleton(sK4) ),
    inference(trivial_inequality_removal,[],[f1489]) ).

fof(f1489,plain,
    ( set_difference(singleton(sK4),sK2) = singleton(sK4)
    | set_difference(singleton(sK3),sK2) = singleton(sK3)
    | empty_set != empty_set ),
    inference(superposition,[],[f46,f310]) ).

fof(f46,plain,
    empty_set != set_difference(unordered_pair(sK3,sK4),sK2),
    inference(cnf_transformation,[],[f29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET930+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 14:16:16 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.45  % (4942)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.45  % (4950)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.46  % (4942)Instruction limit reached!
% 0.19/0.46  % (4942)------------------------------
% 0.19/0.46  % (4942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46  % (4942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46  % (4942)Termination reason: Unknown
% 0.19/0.46  % (4942)Termination phase: Saturation
% 0.19/0.46  
% 0.19/0.46  % (4942)Memory used [KB]: 5500
% 0.19/0.46  % (4942)Time elapsed: 0.065 s
% 0.19/0.46  % (4942)Instructions burned: 7 (million)
% 0.19/0.46  % (4942)------------------------------
% 0.19/0.46  % (4942)------------------------------
% 0.19/0.51  % (4946)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51  % (4945)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (4958)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52  % (4957)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52  % (4937)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52  % (4950)Instruction limit reached!
% 0.19/0.52  % (4950)------------------------------
% 0.19/0.52  % (4950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (4950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (4950)Termination reason: Unknown
% 0.19/0.52  % (4950)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (4950)Memory used [KB]: 1279
% 0.19/0.52  % (4950)Time elapsed: 0.127 s
% 0.19/0.52  % (4950)Instructions burned: 76 (million)
% 0.19/0.52  % (4950)------------------------------
% 0.19/0.52  % (4950)------------------------------
% 0.19/0.53  % (4939)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.53  % (4949)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.32/0.53  % (4935)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.32/0.53  % (4964)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.32/0.53  % (4938)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.53  TRYING [1]
% 1.32/0.53  % (4943)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.32/0.53  % (4943)Instruction limit reached!
% 1.32/0.53  % (4943)------------------------------
% 1.32/0.53  % (4943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53  % (4943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53  % (4943)Termination reason: Unknown
% 1.32/0.53  % (4943)Termination phase: Saturation
% 1.32/0.53  
% 1.32/0.53  % (4943)Memory used [KB]: 5373
% 1.32/0.53  % (4943)Time elapsed: 0.128 s
% 1.32/0.53  % (4943)Instructions burned: 2 (million)
% 1.32/0.53  % (4943)------------------------------
% 1.32/0.53  % (4943)------------------------------
% 1.32/0.53  % (4940)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.32/0.53  % (4961)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.32/0.54  % (4959)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.32/0.54  % (4955)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.32/0.54  % (4941)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.54  TRYING [1]
% 1.32/0.54  TRYING [2]
% 1.32/0.54  TRYING [3]
% 1.32/0.54  % (4936)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.32/0.54  % (4963)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.32/0.54  % (4951)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.32/0.54  % (4956)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.32/0.54  % (4936)Refutation not found, incomplete strategy% (4936)------------------------------
% 1.32/0.54  % (4936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.54  % (4936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.54  % (4936)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.54  
% 1.32/0.54  % (4936)Memory used [KB]: 5373
% 1.32/0.54  % (4936)Time elapsed: 0.136 s
% 1.32/0.54  % (4936)Instructions burned: 4 (million)
% 1.32/0.54  % (4936)------------------------------
% 1.32/0.54  % (4936)------------------------------
% 1.32/0.54  % (4953)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.32/0.54  % (4954)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.32/0.55  TRYING [2]
% 1.32/0.55  TRYING [3]
% 1.32/0.55  % (4947)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.32/0.55  % (4962)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.32/0.55  % (4948)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.32/0.55  % (4960)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.32/0.55  % (4965)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.32/0.55  % (4944)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.55  TRYING [4]
% 1.57/0.56  % (4952)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.57/0.56  TRYING [1]
% 1.57/0.56  TRYING [2]
% 1.57/0.56  TRYING [3]
% 1.57/0.57  TRYING [4]
% 1.57/0.58  % (4937)Instruction limit reached!
% 1.57/0.58  % (4937)------------------------------
% 1.57/0.58  % (4937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.58  % (4937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.58  % (4937)Termination reason: Unknown
% 1.57/0.58  % (4937)Termination phase: Saturation
% 1.57/0.58  
% 1.57/0.58  % (4937)Memory used [KB]: 1023
% 1.57/0.58  % (4937)Time elapsed: 0.164 s
% 1.57/0.58  % (4937)Instructions burned: 37 (million)
% 1.57/0.58  % (4937)------------------------------
% 1.57/0.58  % (4937)------------------------------
% 1.57/0.58  TRYING [4]
% 1.57/0.59  % (4939)Instruction limit reached!
% 1.57/0.59  % (4939)------------------------------
% 1.57/0.59  % (4939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.59  % (4939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.59  % (4939)Termination reason: Unknown
% 1.57/0.59  % (4939)Termination phase: Saturation
% 1.57/0.59  
% 1.57/0.59  % (4939)Memory used [KB]: 5628
% 1.57/0.59  % (4939)Time elapsed: 0.171 s
% 1.57/0.59  % (4939)Instructions burned: 53 (million)
% 1.57/0.59  % (4939)------------------------------
% 1.57/0.59  % (4939)------------------------------
% 1.57/0.59  % (4945)Instruction limit reached!
% 1.57/0.59  % (4945)------------------------------
% 1.57/0.59  % (4945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.59  % (4945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.59  % (4945)Termination reason: Unknown
% 1.57/0.59  % (4945)Termination phase: Saturation
% 1.57/0.59  
% 1.57/0.59  % (4945)Memory used [KB]: 5628
% 1.57/0.59  % (4945)Time elapsed: 0.178 s
% 1.57/0.59  % (4945)Instructions burned: 51 (million)
% 1.57/0.59  % (4945)------------------------------
% 1.57/0.59  % (4945)------------------------------
% 1.57/0.59  % (4940)Instruction limit reached!
% 1.57/0.59  % (4940)------------------------------
% 1.57/0.59  % (4940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.59  % (4940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.59  % (4940)Termination reason: Unknown
% 1.57/0.59  % (4940)Termination phase: Saturation
% 1.57/0.59  
% 1.57/0.59  % (4940)Memory used [KB]: 5756
% 1.57/0.59  % (4940)Time elapsed: 0.178 s
% 1.57/0.59  % (4940)Instructions burned: 49 (million)
% 1.57/0.59  % (4940)------------------------------
% 1.57/0.59  % (4940)------------------------------
% 1.57/0.60  % (4941)Instruction limit reached!
% 1.57/0.60  % (4941)------------------------------
% 1.57/0.60  % (4941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.60  % (4941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.60  % (4941)Termination reason: Unknown
% 1.57/0.60  % (4941)Termination phase: Finite model building SAT solving
% 1.57/0.60  
% 1.57/0.60  % (4941)Memory used [KB]: 6908
% 1.57/0.60  % (4941)Time elapsed: 0.158 s
% 1.57/0.60  % (4941)Instructions burned: 52 (million)
% 1.57/0.60  % (4941)------------------------------
% 1.57/0.60  % (4941)------------------------------
% 1.57/0.61  TRYING [5]
% 1.57/0.62  % (4938)Instruction limit reached!
% 1.57/0.62  % (4938)------------------------------
% 1.57/0.62  % (4938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.62  % (4938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.62  % (4938)Termination reason: Unknown
% 1.57/0.62  % (4938)Termination phase: Saturation
% 1.57/0.62  
% 1.57/0.62  % (4938)Memory used [KB]: 5756
% 1.57/0.62  % (4938)Time elapsed: 0.200 s
% 1.57/0.62  % (4938)Instructions burned: 51 (million)
% 1.57/0.62  % (4938)------------------------------
% 1.57/0.62  % (4938)------------------------------
% 1.57/0.62  % (4944)Instruction limit reached!
% 1.57/0.62  % (4944)------------------------------
% 1.57/0.62  % (4944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.62  % (4944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.62  % (4944)Termination reason: Unknown
% 1.57/0.62  % (4944)Termination phase: Saturation
% 1.57/0.62  
% 1.57/0.62  % (4944)Memory used [KB]: 1279
% 1.57/0.62  % (4944)Time elapsed: 0.221 s
% 1.57/0.62  % (4944)Instructions burned: 52 (million)
% 1.57/0.62  % (4944)------------------------------
% 1.57/0.62  % (4944)------------------------------
% 1.57/0.63  % (4966)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 1.57/0.64  TRYING [5]
% 2.15/0.64  % (4949)Instruction limit reached!
% 2.15/0.64  % (4949)------------------------------
% 2.15/0.64  % (4949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.64  % (4949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.64  % (4949)Termination reason: Unknown
% 2.15/0.64  % (4949)Termination phase: Saturation
% 2.15/0.64  
% 2.15/0.64  % (4949)Memory used [KB]: 6140
% 2.15/0.64  % (4949)Time elapsed: 0.034 s
% 2.15/0.64  % (4949)Instructions burned: 69 (million)
% 2.15/0.64  % (4949)------------------------------
% 2.15/0.64  % (4949)------------------------------
% 2.15/0.65  % (4952)Instruction limit reached!
% 2.15/0.65  % (4952)------------------------------
% 2.15/0.65  % (4952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.65  % (4952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.65  % (4952)Termination reason: Unknown
% 2.15/0.65  % (4952)Termination phase: Finite model building constraint generation
% 2.15/0.66  
% 2.15/0.66  % (4952)Memory used [KB]: 6908
% 2.15/0.66  % (4952)Time elapsed: 0.250 s
% 2.15/0.66  % (4952)Instructions burned: 63 (million)
% 2.15/0.66  % (4952)------------------------------
% 2.15/0.66  % (4952)------------------------------
% 2.15/0.66  % (4961)Instruction limit reached!
% 2.15/0.66  % (4961)------------------------------
% 2.15/0.66  % (4961)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.66  % (4961)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.66  % (4961)Termination reason: Unknown
% 2.15/0.66  % (4961)Termination phase: Saturation
% 2.15/0.66  
% 2.15/0.66  % (4961)Memory used [KB]: 6140
% 2.15/0.66  % (4961)Time elapsed: 0.033 s
% 2.15/0.66  % (4961)Instructions burned: 69 (million)
% 2.15/0.66  % (4961)------------------------------
% 2.15/0.66  % (4961)------------------------------
% 2.15/0.67  % (4953)Instruction limit reached!
% 2.15/0.67  % (4953)------------------------------
% 2.15/0.67  % (4953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.67  % (4967)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.39/0.68  % (4954)Instruction limit reached!
% 2.39/0.68  % (4954)------------------------------
% 2.39/0.68  % (4954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.68  % (4953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.68  % (4953)Termination reason: Unknown
% 2.39/0.68  % (4953)Termination phase: Saturation
% 2.39/0.69  
% 2.39/0.69  % (4953)Memory used [KB]: 5756
% 2.39/0.69  % (4953)Time elapsed: 0.261 s
% 2.39/0.69  % (4953)Instructions burned: 102 (million)
% 2.39/0.69  % (4953)------------------------------
% 2.39/0.69  % (4953)------------------------------
% 2.39/0.69  % (4948)Instruction limit reached!
% 2.39/0.69  % (4948)------------------------------
% 2.39/0.69  % (4948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.70  % (4946)Instruction limit reached!
% 2.39/0.70  % (4946)------------------------------
% 2.39/0.70  % (4946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.70  % (4946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.70  % (4946)Termination reason: Unknown
% 2.39/0.70  % (4946)Termination phase: Saturation
% 2.39/0.70  
% 2.39/0.70  % (4946)Memory used [KB]: 5884
% 2.39/0.70  % (4946)Time elapsed: 0.283 s
% 2.39/0.70  % (4946)Instructions burned: 100 (million)
% 2.39/0.70  % (4946)------------------------------
% 2.39/0.70  % (4946)------------------------------
% 2.39/0.70  % (4954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.70  % (4954)Termination reason: Unknown
% 2.39/0.70  % (4954)Termination phase: Saturation
% 2.39/0.70  
% 2.39/0.70  % (4954)Memory used [KB]: 1151
% 2.39/0.70  % (4954)Time elapsed: 0.283 s
% 2.39/0.70  % (4954)Instructions burned: 101 (million)
% 2.39/0.70  % (4954)------------------------------
% 2.39/0.70  % (4954)------------------------------
% 2.39/0.70  % (4969)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.39/0.71  % (4948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.71  % (4948)Termination reason: Unknown
% 2.39/0.71  % (4948)Termination phase: Saturation
% 2.39/0.71  
% 2.39/0.71  % (4948)Memory used [KB]: 5884
% 2.39/0.71  % (4948)Time elapsed: 0.295 s
% 2.39/0.71  % (4948)Instructions burned: 99 (million)
% 2.39/0.71  % (4948)------------------------------
% 2.39/0.71  % (4948)------------------------------
% 2.39/0.71  % (4951)Instruction limit reached!
% 2.39/0.71  % (4951)------------------------------
% 2.39/0.71  % (4951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.71  % (4951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.71  % (4951)Termination reason: Unknown
% 2.39/0.71  % (4951)Termination phase: Saturation
% 2.39/0.71  
% 2.39/0.71  % (4951)Memory used [KB]: 6140
% 2.39/0.71  % (4951)Time elapsed: 0.275 s
% 2.39/0.71  % (4951)Instructions burned: 100 (million)
% 2.39/0.71  % (4951)------------------------------
% 2.39/0.71  % (4951)------------------------------
% 2.39/0.71  % (4947)Instruction limit reached!
% 2.39/0.71  % (4947)------------------------------
% 2.39/0.71  % (4947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.71  % (4947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.71  % (4947)Termination reason: Unknown
% 2.39/0.71  % (4947)Termination phase: Saturation
% 2.39/0.71  
% 2.39/0.71  % (4947)Memory used [KB]: 5884
% 2.39/0.71  % (4947)Time elapsed: 0.297 s
% 2.39/0.71  % (4947)Instructions burned: 102 (million)
% 2.39/0.71  % (4947)------------------------------
% 2.39/0.71  % (4947)------------------------------
% 2.39/0.72  % (4971)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.39/0.72  % (4970)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.39/0.72  % (4968)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.39/0.73  % (4956)Instruction limit reached!
% 2.39/0.73  % (4956)------------------------------
% 2.39/0.73  % (4956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.73  % (4956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.73  % (4956)Termination reason: Unknown
% 2.39/0.73  % (4956)Termination phase: Saturation
% 2.39/0.73  
% 2.39/0.73  % (4956)Memory used [KB]: 5884
% 2.39/0.73  % (4956)Time elapsed: 0.331 s
% 2.39/0.73  % (4956)Instructions burned: 138 (million)
% 2.39/0.73  % (4956)------------------------------
% 2.39/0.73  % (4956)------------------------------
% 2.39/0.74  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.62/0.74  % (4972)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.62/0.74  % (4974)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.62/0.74  % (4974)Refutation not found, incomplete strategy% (4974)------------------------------
% 2.62/0.74  % (4974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.74  % (4974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.74  % (4974)Termination reason: Refutation not found, incomplete strategy
% 2.62/0.74  
% 2.62/0.74  % (4974)Memory used [KB]: 5373
% 2.62/0.74  % (4974)Time elapsed: 0.087 s
% 2.62/0.74  % (4974)Instructions burned: 3 (million)
% 2.62/0.74  % (4974)------------------------------
% 2.62/0.74  % (4974)------------------------------
% 2.62/0.75  % (4973)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.70/0.76  % (4975)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.70/0.76  TRYING [6]
% 2.70/0.77  % (4976)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.70/0.77  % (4962)Instruction limit reached!
% 2.70/0.77  % (4962)------------------------------
% 2.70/0.77  % (4962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.77  % (4962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.77  % (4962)Termination reason: Unknown
% 2.70/0.77  % (4962)Termination phase: Saturation
% 2.70/0.77  
% 2.70/0.77  % (4962)Memory used [KB]: 1407
% 2.70/0.77  % (4962)Time elapsed: 0.369 s
% 2.70/0.77  % (4962)Instructions burned: 178 (million)
% 2.70/0.77  % (4962)------------------------------
% 2.70/0.77  % (4962)------------------------------
% 2.70/0.79  % (4978)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4958Mi)
% 2.70/0.79  % (4981)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.70/0.79  % (4955)Instruction limit reached!
% 2.70/0.79  % (4955)------------------------------
% 2.70/0.79  % (4955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.79  % (4955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.79  % (4955)Termination reason: Unknown
% 2.70/0.79  % (4955)Termination phase: Saturation
% 2.70/0.79  
% 2.70/0.79  % (4955)Memory used [KB]: 5884
% 2.70/0.79  % (4955)Time elapsed: 0.391 s
% 2.70/0.79  % (4955)Instructions burned: 178 (million)
% 2.70/0.79  % (4955)------------------------------
% 2.70/0.79  % (4955)------------------------------
% 2.70/0.80  % (4977)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.87/0.82  % (4979)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.87/0.82  % (4972)Instruction limit reached!
% 2.87/0.82  % (4972)------------------------------
% 2.87/0.82  % (4972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.82  % (4972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.82  % (4972)Termination reason: Unknown
% 2.87/0.82  % (4972)Termination phase: Saturation
% 2.87/0.82  
% 2.87/0.82  % (4972)Memory used [KB]: 6140
% 2.87/0.82  % (4972)Time elapsed: 0.030 s
% 2.87/0.82  % (4972)Instructions burned: 68 (million)
% 2.87/0.82  % (4972)------------------------------
% 2.87/0.82  % (4972)------------------------------
% 2.87/0.82  % (4980)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.87/0.82  % (4982)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.87/0.83  % (4967)Instruction limit reached!
% 2.87/0.83  % (4967)------------------------------
% 2.87/0.83  % (4967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.83  % (4967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.83  % (4967)Termination reason: Unknown
% 2.87/0.83  % (4967)Termination phase: Saturation
% 2.87/0.83  
% 2.87/0.83  % (4967)Memory used [KB]: 5756
% 2.87/0.83  % (4967)Time elapsed: 0.250 s
% 2.87/0.83  % (4967)Instructions burned: 90 (million)
% 2.87/0.83  % (4967)------------------------------
% 2.87/0.83  % (4967)------------------------------
% 2.87/0.84  % (4983)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 2.87/0.86  % (4986)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4585Mi)
% 3.09/0.86  % (4984)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.09/0.86  % (4985)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2891Mi)
% 3.09/0.86  % (4966)Instruction limit reached!
% 3.09/0.86  % (4966)------------------------------
% 3.09/0.86  % (4966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.09/0.87  % (4966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.09/0.87  % (4966)Termination reason: Unknown
% 3.09/0.87  % (4966)Termination phase: Saturation
% 3.09/0.87  
% 3.09/0.87  % (4966)Memory used [KB]: 1791
% 3.09/0.87  % (4966)Time elapsed: 0.248 s
% 3.09/0.87  % (4966)Instructions burned: 211 (million)
% 3.09/0.87  % (4966)------------------------------
% 3.09/0.87  % (4966)------------------------------
% 3.09/0.90  % (4975)Instruction limit reached!
% 3.09/0.90  % (4975)------------------------------
% 3.09/0.90  % (4975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.09/0.90  % (4975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.09/0.90  % (4975)Termination reason: Unknown
% 3.09/0.90  % (4975)Termination phase: Saturation
% 3.09/0.90  
% 3.09/0.90  % (4975)Memory used [KB]: 5884
% 3.09/0.90  % (4975)Time elapsed: 0.228 s
% 3.09/0.90  % (4975)Instructions burned: 90 (million)
% 3.09/0.90  % (4975)------------------------------
% 3.09/0.90  % (4975)------------------------------
% 3.09/0.91  % (4992)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.09/0.92  % (5007)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.09/0.92  % (5024)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/8004Mi)
% 3.09/0.93  % (4982)Instruction limit reached!
% 3.09/0.93  % (4982)------------------------------
% 3.09/0.93  % (4982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.09/0.93  % (4982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.09/0.93  % (4982)Termination reason: Unknown
% 3.09/0.93  % (4982)Termination phase: Saturation
% 3.09/0.93  
% 3.09/0.93  % (4982)Memory used [KB]: 6140
% 3.09/0.93  % (4982)Time elapsed: 0.031 s
% 3.09/0.93  % (4982)Instructions burned: 70 (million)
% 3.09/0.93  % (4982)------------------------------
% 3.09/0.93  % (4982)------------------------------
% 3.53/0.96  % (4965)Instruction limit reached!
% 3.53/0.96  % (4965)------------------------------
% 3.53/0.96  % (4965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.53/0.96  % (4965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.53/0.96  % (4965)Termination reason: Unknown
% 3.53/0.96  % (4965)Termination phase: Saturation
% 3.53/0.96  
% 3.53/0.96  % (4965)Memory used [KB]: 6908
% 3.53/0.96  % (4965)Time elapsed: 0.410 s
% 3.53/0.96  % (4965)Instructions burned: 388 (million)
% 3.53/0.96  % (4965)------------------------------
% 3.53/0.96  % (4965)------------------------------
% 3.53/0.96  % (5029)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/9965Mi)
% 3.53/0.97  % (4964)Instruction limit reached!
% 3.53/0.97  % (4964)------------------------------
% 3.53/0.97  % (4964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.53/0.97  % (4964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.53/0.97  % (4964)Termination reason: Unknown
% 3.53/0.97  % (4964)Termination phase: Saturation
% 3.53/0.97  
% 3.53/0.97  % (4964)Memory used [KB]: 6140
% 3.53/0.97  % (4964)Time elapsed: 0.569 s
% 3.53/0.97  % (4964)Instructions burned: 358 (million)
% 3.53/0.97  % (4964)------------------------------
% 3.53/0.97  % (4964)------------------------------
% 3.53/0.97  % (5045)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9877Mi)
% 3.63/1.03  % (5056)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9902Mi)
% 3.63/1.03  % (4992)Instruction limit reached!
% 3.63/1.03  % (4992)------------------------------
% 3.63/1.03  % (4992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.63/1.03  % (4992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.63/1.03  % (4992)Termination reason: Unknown
% 3.63/1.03  % (4992)Termination phase: Saturation
% 3.63/1.03  
% 3.63/1.03  % (4992)Memory used [KB]: 5756
% 3.63/1.03  % (4992)Time elapsed: 0.225 s
% 3.63/1.03  % (4992)Instructions burned: 91 (million)
% 3.63/1.03  % (4992)------------------------------
% 3.63/1.03  % (4992)------------------------------
% 3.72/1.07  % (5106)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9989Mi)
% 5.60/1.07  % (4958)Instruction limit reached!
% 5.60/1.07  % (4958)------------------------------
% 5.60/1.07  % (4958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.60/1.07  % (4958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.60/1.07  % (4958)Termination reason: Unknown
% 5.60/1.07  % (4958)Termination phase: Saturation
% 5.60/1.07  
% 5.60/1.07  % (4963)Instruction limit reached!
% 5.60/1.07  % (4963)------------------------------
% 5.60/1.07  % (4963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.60/1.07  % (4958)Memory used [KB]: 6268
% 5.60/1.07  % (4958)Time elapsed: 0.601 s
% 5.60/1.07  % (4958)Instructions burned: 468 (million)
% 5.60/1.07  % (4963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.60/1.07  % (4958)------------------------------
% 5.60/1.07  % (4958)------------------------------
% 5.60/1.07  % (4963)Termination reason: Unknown
% 5.60/1.07  % (4963)Termination phase: Saturation
% 5.60/1.07  
% 5.60/1.07  % (4963)Memory used [KB]: 6524
% 5.60/1.07  % (4963)Time elapsed: 0.674 s
% 5.60/1.07  % (4963)Instructions burned: 439 (million)
% 5.60/1.07  % (4963)------------------------------
% 5.60/1.07  % (4963)------------------------------
% 5.60/1.08  % (5086)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 5.60/1.09  % (5112)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9707Mi)
% 5.60/1.10  % (4986)First to succeed.
% 5.60/1.11  % (4959)Instruction limit reached!
% 5.60/1.11  % (4959)------------------------------
% 5.60/1.11  % (4959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.60/1.11  % (4959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.60/1.11  % (4959)Termination reason: Unknown
% 5.60/1.11  % (4959)Termination phase: Saturation
% 5.60/1.11  
% 5.60/1.11  % (4959)Memory used [KB]: 6396
% 5.60/1.11  % (4959)Time elapsed: 0.675 s
% 5.60/1.11  % (4959)Instructions burned: 482 (million)
% 5.60/1.11  % (4959)------------------------------
% 5.60/1.11  % (4959)------------------------------
% 5.60/1.13  % (4986)Refutation found. Thanks to Tanya!
% 5.60/1.13  % SZS status Theorem for theBenchmark
% 5.60/1.13  % SZS output start Proof for theBenchmark
% See solution above
% 5.60/1.13  % (4986)------------------------------
% 5.60/1.13  % (4986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.60/1.13  % (4986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.60/1.13  % (4986)Termination reason: Refutation
% 5.60/1.13  
% 5.60/1.13  % (4986)Memory used [KB]: 6268
% 5.60/1.13  % (4986)Time elapsed: 0.312 s
% 5.60/1.13  % (4986)Instructions burned: 170 (million)
% 5.60/1.13  % (4986)------------------------------
% 5.60/1.13  % (4986)------------------------------
% 5.60/1.13  % (4934)Success in time 0.773 s
%------------------------------------------------------------------------------