TSTP Solution File: SEU238+3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU238+3 : 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_uns --cores 0 -t %d %s

% Computer : n019.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 18:27:52 EDT 2022

% Result   : Theorem 1.48s 0.56s
% Output   : Refutation 1.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   83 (   4 unt;   0 def)
%            Number of atoms       :  302 (  29 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  363 ( 144   ~; 127   |;  56   &)
%                                         (  14 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   5 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   99 (  87   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f629,plain,
    $false,
    inference(avatar_sat_refutation,[],[f277,f278,f279,f371,f628]) ).

fof(f628,plain,
    ( ~ spl16_1
    | spl16_4 ),
    inference(avatar_contradiction_clause,[],[f627]) ).

fof(f627,plain,
    ( $false
    | ~ spl16_1
    | spl16_4 ),
    inference(subsumption_resolution,[],[f626,f566]) ).

fof(f566,plain,
    ( subset(succ(sK10(sK4)),sK4)
    | spl16_4 ),
    inference(unit_resulting_resolution,[],[f188,f378,f444,f220]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( ~ ordinal_subset(X0,X1)
      | ~ ordinal(X0)
      | subset(X0,X1)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ( ( subset(X0,X1)
          | ~ ordinal_subset(X0,X1) )
        & ( ordinal_subset(X0,X1)
          | ~ subset(X0,X1) ) )
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(rectify,[],[f142]) ).

fof(f142,plain,
    ! [X1,X0] :
      ( ( ( subset(X1,X0)
          | ~ ordinal_subset(X1,X0) )
        & ( ordinal_subset(X1,X0)
          | ~ subset(X1,X0) ) )
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(nnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X1,X0] :
      ( ( subset(X1,X0)
      <=> ordinal_subset(X1,X0) )
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(flattening,[],[f92]) ).

fof(f92,plain,
    ! [X1,X0] :
      ( ( subset(X1,X0)
      <=> ordinal_subset(X1,X0) )
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X1,X0] :
      ( ( ordinal(X1)
        & ordinal(X0) )
     => ( subset(X1,X0)
      <=> ordinal_subset(X1,X0) ) ),
    inference(rectify,[],[f38]) ).

fof(f38,axiom,
    ! [X1,X0] :
      ( ( ordinal(X0)
        & ordinal(X1) )
     => ( subset(X0,X1)
      <=> ordinal_subset(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).

fof(f444,plain,
    ( ordinal_subset(succ(sK10(sK4)),sK4)
    | spl16_4 ),
    inference(unit_resulting_resolution,[],[f188,f372,f373,f202]) ).

fof(f202,plain,
    ! [X0,X1] :
      ( ordinal_subset(succ(X0),X1)
      | ~ in(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ordinal_subset(succ(X0),X1)
              | ~ in(X0,X1) )
            & ( in(X0,X1)
              | ~ ordinal_subset(succ(X0),X1) ) )
          | ~ ordinal(X1) )
      | ~ ordinal(X0) ),
    inference(nnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ordinal_subset(succ(X0),X1)
          <=> in(X0,X1) )
          | ~ ordinal(X1) )
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,axiom,
    ! [X0] :
      ( ordinal(X0)
     => ! [X1] :
          ( ordinal(X1)
         => ( ordinal_subset(succ(X0),X1)
          <=> in(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_ordinal1) ).

fof(f373,plain,
    ( in(sK10(sK4),sK4)
    | spl16_4 ),
    inference(unit_resulting_resolution,[],[f188,f275,f226]) ).

fof(f226,plain,
    ! [X0] :
      ( in(sK10(X0),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ( ( ! [X1] :
              ( ~ ordinal(X1)
              | ~ in(X1,X0)
              | in(succ(X1),X0) )
          | ~ being_limit_ordinal(X0) )
        & ( being_limit_ordinal(X0)
          | ( ordinal(sK10(X0))
            & in(sK10(X0),X0)
            & ~ in(succ(sK10(X0)),X0) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f146,f147]) ).

fof(f147,plain,
    ! [X0] :
      ( ? [X2] :
          ( ordinal(X2)
          & in(X2,X0)
          & ~ in(succ(X2),X0) )
     => ( ordinal(sK10(X0))
        & in(sK10(X0),X0)
        & ~ in(succ(sK10(X0)),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ( ( ! [X1] :
              ( ~ ordinal(X1)
              | ~ in(X1,X0)
              | in(succ(X1),X0) )
          | ~ being_limit_ordinal(X0) )
        & ( being_limit_ordinal(X0)
          | ? [X2] :
              ( ordinal(X2)
              & in(X2,X0)
              & ~ in(succ(X2),X0) ) ) ) ),
    inference(rectify,[],[f145]) ).

fof(f145,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ( ( ! [X1] :
              ( ~ ordinal(X1)
              | ~ in(X1,X0)
              | in(succ(X1),X0) )
          | ~ being_limit_ordinal(X0) )
        & ( being_limit_ordinal(X0)
          | ? [X1] :
              ( ordinal(X1)
              & in(X1,X0)
              & ~ in(succ(X1),X0) ) ) ) ),
    inference(nnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ( ! [X1] :
            ( ~ ordinal(X1)
            | ~ in(X1,X0)
            | in(succ(X1),X0) )
      <=> being_limit_ordinal(X0) ) ),
    inference(flattening,[],[f104]) ).

fof(f104,plain,
    ! [X0] :
      ( ( being_limit_ordinal(X0)
      <=> ! [X1] :
            ( in(succ(X1),X0)
            | ~ in(X1,X0)
            | ~ ordinal(X1) ) )
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,axiom,
    ! [X0] :
      ( ordinal(X0)
     => ( being_limit_ordinal(X0)
      <=> ! [X1] :
            ( ordinal(X1)
           => ( in(X1,X0)
             => in(succ(X1),X0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_ordinal1) ).

fof(f275,plain,
    ( ~ being_limit_ordinal(sK4)
    | spl16_4 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f274,plain,
    ( spl16_4
  <=> being_limit_ordinal(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).

fof(f372,plain,
    ( ordinal(sK10(sK4))
    | spl16_4 ),
    inference(unit_resulting_resolution,[],[f188,f275,f227]) ).

fof(f227,plain,
    ! [X0] :
      ( ordinal(sK10(X0))
      | ~ ordinal(X0)
      | being_limit_ordinal(X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f378,plain,
    ( ordinal(succ(sK10(sK4)))
    | spl16_4 ),
    inference(unit_resulting_resolution,[],[f372,f194]) ).

fof(f194,plain,
    ! [X0] :
      ( ordinal(succ(X0))
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ( ordinal(succ(X0))
        & ~ empty(succ(X0))
        & epsilon_connected(succ(X0))
        & epsilon_transitive(succ(X0)) )
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ordinal(X0)
     => ( ordinal(succ(X0))
        & ~ empty(succ(X0))
        & epsilon_connected(succ(X0))
        & epsilon_transitive(succ(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_ordinal1) ).

fof(f188,plain,
    ordinal(sK4),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ( ordinal(sK4)
    & ( ( ! [X1] :
            ( succ(X1) != sK4
            | ~ ordinal(X1) )
        & ~ being_limit_ordinal(sK4) )
      | ( ordinal(sK5)
        & succ(sK5) = sK4
        & being_limit_ordinal(sK4) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f79,f128,f127]) ).

fof(f127,plain,
    ( ? [X0] :
        ( ordinal(X0)
        & ( ( ! [X1] :
                ( succ(X1) != X0
                | ~ ordinal(X1) )
            & ~ being_limit_ordinal(X0) )
          | ( ? [X2] :
                ( ordinal(X2)
                & succ(X2) = X0 )
            & being_limit_ordinal(X0) ) ) )
   => ( ordinal(sK4)
      & ( ( ! [X1] :
              ( succ(X1) != sK4
              | ~ ordinal(X1) )
          & ~ being_limit_ordinal(sK4) )
        | ( ? [X2] :
              ( ordinal(X2)
              & succ(X2) = sK4 )
          & being_limit_ordinal(sK4) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ( ? [X2] :
        ( ordinal(X2)
        & succ(X2) = sK4 )
   => ( ordinal(sK5)
      & succ(sK5) = sK4 ) ),
    introduced(choice_axiom,[]) ).

fof(f79,plain,
    ? [X0] :
      ( ordinal(X0)
      & ( ( ! [X1] :
              ( succ(X1) != X0
              | ~ ordinal(X1) )
          & ~ being_limit_ordinal(X0) )
        | ( ? [X2] :
              ( ordinal(X2)
              & succ(X2) = X0 )
          & being_limit_ordinal(X0) ) ) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,plain,
    ~ ! [X0] :
        ( ordinal(X0)
       => ( ~ ( ! [X1] :
                  ( ordinal(X1)
                 => succ(X1) != X0 )
              & ~ being_limit_ordinal(X0) )
          & ~ ( ? [X2] :
                  ( ordinal(X2)
                  & succ(X2) = X0 )
              & being_limit_ordinal(X0) ) ) ),
    inference(rectify,[],[f50]) ).

fof(f50,negated_conjecture,
    ~ ! [X0] :
        ( ordinal(X0)
       => ( ~ ( ! [X1] :
                  ( ordinal(X1)
                 => succ(X1) != X0 )
              & ~ being_limit_ordinal(X0) )
          & ~ ( being_limit_ordinal(X0)
              & ? [X1] :
                  ( ordinal(X1)
                  & succ(X1) = X0 ) ) ) ),
    inference(negated_conjecture,[],[f49]) ).

fof(f49,conjecture,
    ! [X0] :
      ( ordinal(X0)
     => ( ~ ( ! [X1] :
                ( ordinal(X1)
               => succ(X1) != X0 )
            & ~ being_limit_ordinal(X0) )
        & ~ ( being_limit_ordinal(X0)
            & ? [X1] :
                ( ordinal(X1)
                & succ(X1) = X0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_ordinal1) ).

fof(f626,plain,
    ( ~ subset(succ(sK10(sK4)),sK4)
    | ~ spl16_1
    | spl16_4 ),
    inference(unit_resulting_resolution,[],[f400,f475,f238]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | X0 = X1
      | proper_subset(X1,X0) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( proper_subset(X1,X0)
      | X0 = X1
      | ~ subset(X1,X0) ),
    inference(rectify,[],[f85]) ).

fof(f85,plain,
    ! [X1,X0] :
      ( proper_subset(X0,X1)
      | X0 = X1
      | ~ subset(X0,X1) ),
    inference(flattening,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( proper_subset(X0,X1)
      | ~ subset(X0,X1)
      | X0 = X1 ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        & X0 != X1 )
     => proper_subset(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        & X0 != X1 )
    <=> proper_subset(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_xboole_0) ).

fof(f475,plain,
    ( ~ proper_subset(succ(sK10(sK4)),sK4)
    | spl16_4 ),
    inference(unit_resulting_resolution,[],[f188,f374,f375,f171]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ~ proper_subset(X0,X1)
      | in(X0,X1)
      | ~ epsilon_transitive(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ! [X1] :
          ( in(X0,X1)
          | ~ ordinal(X1)
          | ~ proper_subset(X0,X1) )
      | ~ epsilon_transitive(X0) ),
    inference(flattening,[],[f109]) ).

fof(f109,plain,
    ! [X0] :
      ( ! [X1] :
          ( in(X0,X1)
          | ~ proper_subset(X0,X1)
          | ~ ordinal(X1) )
      | ~ epsilon_transitive(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,axiom,
    ! [X0] :
      ( epsilon_transitive(X0)
     => ! [X1] :
          ( ordinal(X1)
         => ( proper_subset(X0,X1)
           => in(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_ordinal1) ).

fof(f375,plain,
    ( epsilon_transitive(succ(sK10(sK4)))
    | spl16_4 ),
    inference(unit_resulting_resolution,[],[f372,f191]) ).

fof(f191,plain,
    ! [X0] :
      ( epsilon_transitive(succ(X0))
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f374,plain,
    ( ~ in(succ(sK10(sK4)),sK4)
    | spl16_4 ),
    inference(unit_resulting_resolution,[],[f188,f275,f225]) ).

fof(f225,plain,
    ! [X0] :
      ( ~ in(succ(sK10(X0)),X0)
      | ~ ordinal(X0)
      | being_limit_ordinal(X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f400,plain,
    ( sK4 != succ(sK10(sK4))
    | ~ spl16_1
    | spl16_4 ),
    inference(unit_resulting_resolution,[],[f372,f262]) ).

fof(f262,plain,
    ( ! [X1] :
        ( succ(X1) != sK4
        | ~ ordinal(X1) )
    | ~ spl16_1 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl16_1
  <=> ! [X1] :
        ( succ(X1) != sK4
        | ~ ordinal(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).

fof(f371,plain,
    ( ~ spl16_2
    | ~ spl16_3
    | ~ spl16_4 ),
    inference(avatar_contradiction_clause,[],[f370]) ).

fof(f370,plain,
    ( $false
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_4 ),
    inference(subsumption_resolution,[],[f369,f176]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ in(X1,X0) ),
    inference(rectify,[],[f100]) ).

fof(f100,plain,
    ! [X1,X0] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    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(f369,plain,
    ( in(sK4,sK4)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_4 ),
    inference(forward_demodulation,[],[f366,f271]) ).

fof(f271,plain,
    ( succ(sK5) = sK4
    | ~ spl16_3 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f269,plain,
    ( spl16_3
  <=> succ(sK5) = sK4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).

fof(f366,plain,
    ( in(succ(sK5),sK4)
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_4 ),
    inference(unit_resulting_resolution,[],[f266,f188,f276,f321,f228]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( in(succ(X1),X0)
      | ~ being_limit_ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f321,plain,
    ( in(sK5,sK4)
    | ~ spl16_3 ),
    inference(superposition,[],[f214,f271]) ).

fof(f214,plain,
    ! [X0] : in(X0,succ(X0)),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,axiom,
    ! [X0] : in(X0,succ(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_ordinal1) ).

fof(f276,plain,
    ( being_limit_ordinal(sK4)
    | ~ spl16_4 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f266,plain,
    ( ordinal(sK5)
    | ~ spl16_2 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl16_2
  <=> ordinal(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).

fof(f279,plain,
    ( spl16_2
    | ~ spl16_4 ),
    inference(avatar_split_clause,[],[f184,f274,f264]) ).

fof(f184,plain,
    ( ~ being_limit_ordinal(sK4)
    | ordinal(sK5) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f278,plain,
    ( ~ spl16_4
    | spl16_3 ),
    inference(avatar_split_clause,[],[f183,f269,f274]) ).

fof(f183,plain,
    ( succ(sK5) = sK4
    | ~ being_limit_ordinal(sK4) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f277,plain,
    ( spl16_4
    | spl16_1 ),
    inference(avatar_split_clause,[],[f185,f261,f274]) ).

fof(f185,plain,
    ! [X1] :
      ( succ(X1) != sK4
      | being_limit_ordinal(sK4)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f129]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU238+3 : 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_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 14:59:20 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.21/0.44  % (17014)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)
% 0.21/0.47  % (17014)Instruction limit reached!
% 0.21/0.47  % (17014)------------------------------
% 0.21/0.47  % (17014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.47  % (17014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.47  % (17014)Termination reason: Unknown
% 0.21/0.47  % (17014)Termination phase: Function definition elimination
% 0.21/0.47  
% 0.21/0.47  % (17014)Memory used [KB]: 1535
% 0.21/0.47  % (17014)Time elapsed: 0.003 s
% 0.21/0.47  % (17014)Instructions burned: 3 (million)
% 0.21/0.47  % (17014)------------------------------
% 0.21/0.47  % (17014)------------------------------
% 0.21/0.47  % (17039)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)
% 0.21/0.47  % (17023)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)
% 0.21/0.48  % (17039)Refutation not found, incomplete strategy% (17039)------------------------------
% 0.21/0.48  % (17039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49  % (17039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49  % (17039)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.49  
% 0.21/0.49  % (17039)Memory used [KB]: 6140
% 0.21/0.49  % (17039)Time elapsed: 0.093 s
% 0.21/0.49  % (17039)Instructions burned: 5 (million)
% 0.21/0.49  % (17039)------------------------------
% 0.21/0.49  % (17039)------------------------------
% 0.21/0.49  % (17027)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)
% 0.21/0.49  % (17023)Instruction limit reached!
% 0.21/0.49  % (17023)------------------------------
% 0.21/0.49  % (17023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49  % (17023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49  % (17023)Termination reason: Unknown
% 0.21/0.49  % (17023)Termination phase: Saturation
% 0.21/0.49  
% 0.21/0.49  % (17023)Memory used [KB]: 6268
% 0.21/0.49  % (17023)Time elapsed: 0.102 s
% 0.21/0.49  % (17023)Instructions burned: 12 (million)
% 0.21/0.49  % (17023)------------------------------
% 0.21/0.49  % (17023)------------------------------
% 0.21/0.50  % (17019)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)
% 0.21/0.50  % (17027)Instruction limit reached!
% 0.21/0.50  % (17027)------------------------------
% 0.21/0.50  % (17027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (17027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (17027)Termination reason: Unknown
% 0.21/0.50  % (17027)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (17027)Memory used [KB]: 1535
% 0.21/0.50  % (17027)Time elapsed: 0.004 s
% 0.21/0.50  % (17027)Instructions burned: 4 (million)
% 0.21/0.50  % (17027)------------------------------
% 0.21/0.50  % (17027)------------------------------
% 0.21/0.50  % (17035)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)
% 0.21/0.51  % (17040)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)
% 0.21/0.51  % (17012)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.51  % (17025)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)
% 0.21/0.51  % (17015)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)
% 0.21/0.51  % (17026)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)
% 0.21/0.52  % (17031)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)
% 0.21/0.52  % (17031)Instruction limit reached!
% 0.21/0.52  % (17031)------------------------------
% 0.21/0.52  % (17031)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (17031)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (17031)Termination reason: Unknown
% 0.21/0.52  % (17031)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (17031)Memory used [KB]: 5884
% 0.21/0.52  % (17031)Time elapsed: 0.002 s
% 0.21/0.52  % (17031)Instructions burned: 2 (million)
% 0.21/0.52  % (17031)------------------------------
% 0.21/0.52  % (17031)------------------------------
% 1.33/0.52  % (17042)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)
% 1.33/0.52  % (17022)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)
% 1.33/0.53  % (17013)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)
% 1.33/0.53  % (17017)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)
% 1.33/0.53  % (17037)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)
% 1.33/0.53  % (17024)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)
% 1.33/0.53  % (17013)Refutation not found, incomplete strategy% (17013)------------------------------
% 1.33/0.53  % (17013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53  % (17013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53  % (17013)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.53  
% 1.33/0.53  % (17013)Memory used [KB]: 6012
% 1.33/0.53  % (17013)Time elapsed: 0.125 s
% 1.33/0.53  % (17013)Instructions burned: 3 (million)
% 1.33/0.53  % (17013)------------------------------
% 1.33/0.53  % (17013)------------------------------
% 1.33/0.53  % (17036)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)
% 1.33/0.53  % (17030)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.33/0.53  % (17033)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)
% 1.33/0.53  % (17019)Instruction limit reached!
% 1.33/0.53  % (17019)------------------------------
% 1.33/0.53  % (17019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53  % (17032)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)
% 1.33/0.53  % (17018)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)
% 1.33/0.53  % (17025)Refutation not found, incomplete strategy% (17025)------------------------------
% 1.33/0.53  % (17025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53  % (17025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53  % (17025)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.53  
% 1.33/0.53  % (17025)Memory used [KB]: 1535
% 1.33/0.53  % (17025)Time elapsed: 0.125 s
% 1.33/0.53  % (17025)Instructions burned: 4 (million)
% 1.33/0.53  % (17025)------------------------------
% 1.33/0.53  % (17025)------------------------------
% 1.33/0.53  % (17030)Instruction limit reached!
% 1.33/0.53  % (17030)------------------------------
% 1.33/0.53  % (17030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53  % (17030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53  % (17030)Termination reason: Unknown
% 1.33/0.53  % (17030)Termination phase: shuffling
% 1.33/0.53  
% 1.33/0.53  % (17030)Memory used [KB]: 1535
% 1.33/0.53  % (17030)Time elapsed: 0.004 s
% 1.33/0.53  % (17030)Instructions burned: 3 (million)
% 1.33/0.53  % (17030)------------------------------
% 1.33/0.53  % (17030)------------------------------
% 1.33/0.53  % (17032)Refutation not found, incomplete strategy% (17032)------------------------------
% 1.33/0.53  % (17032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53  % (17032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53  % (17032)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.53  
% 1.33/0.53  % (17032)Memory used [KB]: 6012
% 1.33/0.53  % (17032)Time elapsed: 0.129 s
% 1.33/0.53  % (17032)Instructions burned: 4 (million)
% 1.33/0.53  % (17032)------------------------------
% 1.33/0.53  % (17032)------------------------------
% 1.33/0.54  % (17020)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)
% 1.48/0.54  % (17028)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)
% 1.48/0.54  % (17021)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)
% 1.48/0.54  % (17028)Instruction limit reached!
% 1.48/0.54  % (17028)------------------------------
% 1.48/0.54  % (17028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.54  % (17042)Instruction limit reached!
% 1.48/0.54  % (17042)------------------------------
% 1.48/0.54  % (17042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.54  % (17043)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)
% 1.48/0.54  % (17034)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)
% 1.48/0.54  % (17029)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)
% 1.48/0.55  % (17017)Instruction limit reached!
% 1.48/0.55  % (17017)------------------------------
% 1.48/0.55  % (17017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.55  % (17024)Instruction limit reached!
% 1.48/0.55  % (17024)------------------------------
% 1.48/0.55  % (17024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.55  % (17024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55  % (17024)Termination reason: Unknown
% 1.48/0.55  % (17024)Termination phase: Saturation
% 1.48/0.55  
% 1.48/0.55  % (17024)Memory used [KB]: 6140
% 1.48/0.55  % (17024)Time elapsed: 0.132 s
% 1.48/0.55  % (17024)Instructions burned: 8 (million)
% 1.48/0.55  % (17024)------------------------------
% 1.48/0.55  % (17024)------------------------------
% 1.48/0.55  % (17028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55  % (17028)Termination reason: Unknown
% 1.48/0.55  % (17028)Termination phase: Saturation
% 1.48/0.55  
% 1.48/0.55  % (17028)Memory used [KB]: 6140
% 1.48/0.55  % (17028)Time elapsed: 0.111 s
% 1.48/0.55  % (17028)Instructions burned: 7 (million)
% 1.48/0.55  % (17028)------------------------------
% 1.48/0.55  % (17028)------------------------------
% 1.48/0.55  % (17019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55  % (17019)Termination reason: Unknown
% 1.48/0.55  % (17019)Termination phase: Saturation
% 1.48/0.55  
% 1.48/0.55  % (17019)Memory used [KB]: 6268
% 1.48/0.55  % (17019)Time elapsed: 0.122 s
% 1.48/0.55  % (17019)Instructions burned: 39 (million)
% 1.48/0.55  % (17019)------------------------------
% 1.48/0.55  % (17019)------------------------------
% 1.48/0.55  % (17017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55  % (17017)Termination reason: Unknown
% 1.48/0.55  % (17017)Termination phase: Saturation
% 1.48/0.55  
% 1.48/0.55  % (17017)Memory used [KB]: 6140
% 1.48/0.55  % (17017)Time elapsed: 0.131 s
% 1.48/0.55  % (17017)Instructions burned: 15 (million)
% 1.48/0.55  % (17017)------------------------------
% 1.48/0.55  % (17017)------------------------------
% 1.48/0.55  % (17042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55  % (17042)Termination reason: Unknown
% 1.48/0.55  % (17042)Termination phase: Saturation
% 1.48/0.55  
% 1.48/0.55  % (17042)Memory used [KB]: 6268
% 1.48/0.55  % (17042)Time elapsed: 0.143 s
% 1.48/0.55  % (17042)Instructions burned: 9 (million)
% 1.48/0.55  % (17042)------------------------------
% 1.48/0.55  % (17042)------------------------------
% 1.48/0.55  % (17038)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)
% 1.48/0.56  % (17022)First to succeed.
% 1.48/0.56  % (17022)Refutation found. Thanks to Tanya!
% 1.48/0.56  % SZS status Theorem for theBenchmark
% 1.48/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.48/0.56  % (17022)------------------------------
% 1.48/0.56  % (17022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.56  % (17022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.56  % (17022)Termination reason: Refutation
% 1.48/0.56  
% 1.48/0.56  % (17022)Memory used [KB]: 6396
% 1.48/0.56  % (17022)Time elapsed: 0.151 s
% 1.48/0.56  % (17022)Instructions burned: 14 (million)
% 1.48/0.56  % (17022)------------------------------
% 1.48/0.56  % (17022)------------------------------
% 1.48/0.56  % (17010)Success in time 0.198 s
%------------------------------------------------------------------------------