TSTP Solution File: SEU383+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU383+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:29:33 EDT 2022

% Result   : Theorem 0.14s 0.53s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  150 (  14 unt;   0 def)
%            Number of atoms       :  598 (  24 equ)
%            Maximal formula atoms :   26 (   3 avg)
%            Number of connectives :  705 ( 257   ~; 248   |; 142   &)
%                                         (  26 <=>;  29  =>;   0  <=;   3 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   32 (  30 usr;  17 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :  166 ( 142   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1482,plain,
    $false,
    inference(avatar_sat_refutation,[],[f223,f224,f297,f468,f497,f510,f512,f536,f545,f674,f692,f695,f706,f711,f728,f1221,f1233,f1461,f1481]) ).

fof(f1481,plain,
    ( ~ spl18_2
    | ~ spl18_12 ),
    inference(avatar_contradiction_clause,[],[f1479]) ).

fof(f1479,plain,
    ( $false
    | ~ spl18_2
    | ~ spl18_12 ),
    inference(resolution,[],[f1473,f1234]) ).

fof(f1234,plain,
    ( element(sK9,powerset(sK9))
    | ~ spl18_12 ),
    inference(backward_demodulation,[],[f176,f352]) ).

fof(f352,plain,
    ( sK9 = the_carrier(sK8)
    | ~ spl18_12 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f350,plain,
    ( spl18_12
  <=> sK9 = the_carrier(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_12])]) ).

fof(f176,plain,
    element(sK9,powerset(the_carrier(sK8))),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ( lower_bounded_relstr(sK8)
    & reflexive_relstr(sK8)
    & ~ empty_carrier(sK8)
    & antisymmetric_relstr(sK8)
    & rel_str(sK8)
    & transitive_relstr(sK8)
    & upper_relstr_subset(sK9,sK8)
    & ~ empty(sK9)
    & element(sK9,powerset(the_carrier(sK8)))
    & ( in(bottom_of_relstr(sK8),sK9)
      | ~ proper_element(sK9,powerset(the_carrier(sK8))) )
    & ( ~ in(bottom_of_relstr(sK8),sK9)
      | proper_element(sK9,powerset(the_carrier(sK8))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f120,f122,f121]) ).

fof(f121,plain,
    ( ? [X0] :
        ( lower_bounded_relstr(X0)
        & reflexive_relstr(X0)
        & ~ empty_carrier(X0)
        & antisymmetric_relstr(X0)
        & rel_str(X0)
        & transitive_relstr(X0)
        & ? [X1] :
            ( upper_relstr_subset(X1,X0)
            & ~ empty(X1)
            & element(X1,powerset(the_carrier(X0)))
            & ( in(bottom_of_relstr(X0),X1)
              | ~ proper_element(X1,powerset(the_carrier(X0))) )
            & ( ~ in(bottom_of_relstr(X0),X1)
              | proper_element(X1,powerset(the_carrier(X0))) ) ) )
   => ( lower_bounded_relstr(sK8)
      & reflexive_relstr(sK8)
      & ~ empty_carrier(sK8)
      & antisymmetric_relstr(sK8)
      & rel_str(sK8)
      & transitive_relstr(sK8)
      & ? [X1] :
          ( upper_relstr_subset(X1,sK8)
          & ~ empty(X1)
          & element(X1,powerset(the_carrier(sK8)))
          & ( in(bottom_of_relstr(sK8),X1)
            | ~ proper_element(X1,powerset(the_carrier(sK8))) )
          & ( ~ in(bottom_of_relstr(sK8),X1)
            | proper_element(X1,powerset(the_carrier(sK8))) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f122,plain,
    ( ? [X1] :
        ( upper_relstr_subset(X1,sK8)
        & ~ empty(X1)
        & element(X1,powerset(the_carrier(sK8)))
        & ( in(bottom_of_relstr(sK8),X1)
          | ~ proper_element(X1,powerset(the_carrier(sK8))) )
        & ( ~ in(bottom_of_relstr(sK8),X1)
          | proper_element(X1,powerset(the_carrier(sK8))) ) )
   => ( upper_relstr_subset(sK9,sK8)
      & ~ empty(sK9)
      & element(sK9,powerset(the_carrier(sK8)))
      & ( in(bottom_of_relstr(sK8),sK9)
        | ~ proper_element(sK9,powerset(the_carrier(sK8))) )
      & ( ~ in(bottom_of_relstr(sK8),sK9)
        | proper_element(sK9,powerset(the_carrier(sK8))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f120,plain,
    ? [X0] :
      ( lower_bounded_relstr(X0)
      & reflexive_relstr(X0)
      & ~ empty_carrier(X0)
      & antisymmetric_relstr(X0)
      & rel_str(X0)
      & transitive_relstr(X0)
      & ? [X1] :
          ( upper_relstr_subset(X1,X0)
          & ~ empty(X1)
          & element(X1,powerset(the_carrier(X0)))
          & ( in(bottom_of_relstr(X0),X1)
            | ~ proper_element(X1,powerset(the_carrier(X0))) )
          & ( ~ in(bottom_of_relstr(X0),X1)
            | proper_element(X1,powerset(the_carrier(X0))) ) ) ),
    inference(flattening,[],[f119]) ).

fof(f119,plain,
    ? [X0] :
      ( lower_bounded_relstr(X0)
      & reflexive_relstr(X0)
      & ~ empty_carrier(X0)
      & antisymmetric_relstr(X0)
      & rel_str(X0)
      & transitive_relstr(X0)
      & ? [X1] :
          ( upper_relstr_subset(X1,X0)
          & ~ empty(X1)
          & element(X1,powerset(the_carrier(X0)))
          & ( in(bottom_of_relstr(X0),X1)
            | ~ proper_element(X1,powerset(the_carrier(X0))) )
          & ( ~ in(bottom_of_relstr(X0),X1)
            | proper_element(X1,powerset(the_carrier(X0))) ) ) ),
    inference(nnf_transformation,[],[f94]) ).

fof(f94,plain,
    ? [X0] :
      ( lower_bounded_relstr(X0)
      & reflexive_relstr(X0)
      & ~ empty_carrier(X0)
      & antisymmetric_relstr(X0)
      & rel_str(X0)
      & transitive_relstr(X0)
      & ? [X1] :
          ( upper_relstr_subset(X1,X0)
          & ~ empty(X1)
          & element(X1,powerset(the_carrier(X0)))
          & ( proper_element(X1,powerset(the_carrier(X0)))
          <~> ~ in(bottom_of_relstr(X0),X1) ) ) ),
    inference(flattening,[],[f93]) ).

fof(f93,plain,
    ? [X0] :
      ( ? [X1] :
          ( ( proper_element(X1,powerset(the_carrier(X0)))
          <~> ~ in(bottom_of_relstr(X0),X1) )
          & upper_relstr_subset(X1,X0)
          & ~ empty(X1)
          & element(X1,powerset(the_carrier(X0))) )
      & rel_str(X0)
      & reflexive_relstr(X0)
      & lower_bounded_relstr(X0)
      & antisymmetric_relstr(X0)
      & transitive_relstr(X0)
      & ~ empty_carrier(X0) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,plain,
    ~ ! [X0] :
        ( ( rel_str(X0)
          & reflexive_relstr(X0)
          & lower_bounded_relstr(X0)
          & antisymmetric_relstr(X0)
          & transitive_relstr(X0)
          & ~ empty_carrier(X0) )
       => ! [X1] :
            ( ( upper_relstr_subset(X1,X0)
              & ~ empty(X1)
              & element(X1,powerset(the_carrier(X0))) )
           => ( proper_element(X1,powerset(the_carrier(X0)))
            <=> ~ in(bottom_of_relstr(X0),X1) ) ) ),
    inference(pure_predicate_removal,[],[f46]) ).

fof(f46,negated_conjecture,
    ~ ! [X0] :
        ( ( rel_str(X0)
          & reflexive_relstr(X0)
          & lower_bounded_relstr(X0)
          & antisymmetric_relstr(X0)
          & transitive_relstr(X0)
          & ~ empty_carrier(X0) )
       => ! [X1] :
            ( ( upper_relstr_subset(X1,X0)
              & ~ empty(X1)
              & element(X1,powerset(the_carrier(X0)))
              & filtered_subset(X1,X0) )
           => ( proper_element(X1,powerset(the_carrier(X0)))
            <=> ~ in(bottom_of_relstr(X0),X1) ) ) ),
    inference(negated_conjecture,[],[f45]) ).

fof(f45,conjecture,
    ! [X0] :
      ( ( rel_str(X0)
        & reflexive_relstr(X0)
        & lower_bounded_relstr(X0)
        & antisymmetric_relstr(X0)
        & transitive_relstr(X0)
        & ~ empty_carrier(X0) )
     => ! [X1] :
          ( ( upper_relstr_subset(X1,X0)
            & ~ empty(X1)
            & element(X1,powerset(the_carrier(X0)))
            & filtered_subset(X1,X0) )
         => ( proper_element(X1,powerset(the_carrier(X0)))
          <=> ~ in(bottom_of_relstr(X0),X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_waybel_7) ).

fof(f1473,plain,
    ( ~ element(sK9,powerset(sK9))
    | ~ spl18_2
    | ~ spl18_12 ),
    inference(resolution,[],[f1235,f214]) ).

fof(f214,plain,
    ! [X1] :
      ( ~ proper_element(X1,powerset(X1))
      | ~ element(X1,powerset(X1)) ),
    inference(equality_resolution,[],[f152]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( ~ element(X1,powerset(X0))
      | X0 != X1
      | ~ proper_element(X1,powerset(X0)) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ~ element(X1,powerset(X0))
      | ( ( X0 != X1
          | ~ proper_element(X1,powerset(X0)) )
        & ( proper_element(X1,powerset(X0))
          | X0 = X1 ) ) ),
    inference(rectify,[],[f106]) ).

fof(f106,plain,
    ! [X1,X0] :
      ( ~ element(X0,powerset(X1))
      | ( ( X0 != X1
          | ~ proper_element(X0,powerset(X1)) )
        & ( proper_element(X0,powerset(X1))
          | X0 = X1 ) ) ),
    inference(nnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X1,X0] :
      ( ~ element(X0,powerset(X1))
      | ( X0 != X1
      <=> proper_element(X0,powerset(X1)) ) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
     => ( X0 != X1
      <=> proper_element(X0,powerset(X1)) ) ),
    inference(rectify,[],[f41]) ).

fof(f41,axiom,
    ! [X1,X0] :
      ( element(X1,powerset(X0))
     => ( proper_element(X1,powerset(X0))
      <=> X0 != X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tex_2) ).

fof(f1235,plain,
    ( proper_element(sK9,powerset(sK9))
    | ~ spl18_2
    | ~ spl18_12 ),
    inference(backward_demodulation,[],[f222,f352]) ).

fof(f222,plain,
    ( proper_element(sK9,powerset(the_carrier(sK8)))
    | ~ spl18_2 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f220,plain,
    ( spl18_2
  <=> proper_element(sK9,powerset(the_carrier(sK8))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).

fof(f1461,plain,
    ( spl18_1
    | ~ spl18_12
    | ~ spl18_24 ),
    inference(avatar_split_clause,[],[f1252,f517,f350,f216]) ).

fof(f216,plain,
    ( spl18_1
  <=> in(bottom_of_relstr(sK8),sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).

fof(f517,plain,
    ( spl18_24
  <=> in(bottom_of_relstr(sK8),the_carrier(sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_24])]) ).

fof(f1252,plain,
    ( in(bottom_of_relstr(sK8),sK9)
    | ~ spl18_12
    | ~ spl18_24 ),
    inference(backward_demodulation,[],[f519,f352]) ).

fof(f519,plain,
    ( in(bottom_of_relstr(sK8),the_carrier(sK8))
    | ~ spl18_24 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f1233,plain,
    ( ~ spl18_72
    | spl18_12
    | ~ spl18_14
    | ~ spl18_72 ),
    inference(avatar_split_clause,[],[f1226,f1179,f384,f350,f1179]) ).

fof(f384,plain,
    ( spl18_14
  <=> ! [X0] :
        ( in(X0,the_carrier(sK8))
        | ~ in(X0,sK9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_14])]) ).

fof(f1179,plain,
    ( spl18_72
  <=> in(sK0(sK9,the_carrier(sK8)),sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_72])]) ).

fof(f1226,plain,
    ( sK9 = the_carrier(sK8)
    | ~ in(sK0(sK9,the_carrier(sK8)),sK9)
    | ~ spl18_14
    | ~ spl18_72 ),
    inference(resolution,[],[f1180,f778]) ).

fof(f778,plain,
    ( ! [X3] :
        ( ~ in(sK0(X3,the_carrier(sK8)),sK9)
        | the_carrier(sK8) = X3
        | ~ in(sK0(X3,the_carrier(sK8)),X3) )
    | ~ spl18_14 ),
    inference(resolution,[],[f385,f146]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ~ in(sK0(X0,X1),X1)
      | ~ in(sK0(X0,X1),X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ( ( ~ in(sK0(X0,X1),X1)
          | ~ in(sK0(X0,X1),X0) )
        & ( in(sK0(X0,X1),X1)
          | in(sK0(X0,X1),X0) ) )
      | X0 = X1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f98,f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ in(X2,X1)
            | ~ in(X2,X0) )
          & ( in(X2,X1)
            | in(X2,X0) ) )
     => ( ( ~ in(sK0(X0,X1),X1)
          | ~ in(sK0(X0,X1),X0) )
        & ( in(sK0(X0,X1),X1)
          | in(sK0(X0,X1),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ in(X2,X1)
            | ~ in(X2,X0) )
          & ( in(X2,X1)
            | in(X2,X0) ) )
      | X0 = X1 ),
    inference(rectify,[],[f97]) ).

fof(f97,plain,
    ! [X1,X0] :
      ( ? [X2] :
          ( ( ~ in(X2,X0)
            | ~ in(X2,X1) )
          & ( in(X2,X0)
            | in(X2,X1) ) )
      | X0 = X1 ),
    inference(nnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X1,X0] :
      ( ? [X2] :
          ( in(X2,X1)
        <~> in(X2,X0) )
      | X0 = X1 ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X1,X0] :
      ( ! [X2] :
          ( in(X2,X0)
        <=> in(X2,X1) )
     => X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).

fof(f385,plain,
    ( ! [X0] :
        ( in(X0,the_carrier(sK8))
        | ~ in(X0,sK9) )
    | ~ spl18_14 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f1180,plain,
    ( in(sK0(sK9,the_carrier(sK8)),sK9)
    | ~ spl18_72 ),
    inference(avatar_component_clause,[],[f1179]) ).

fof(f1221,plain,
    ( spl18_72
    | spl18_12
    | ~ spl18_22 ),
    inference(avatar_split_clause,[],[f1218,f489,f350,f1179]) ).

fof(f489,plain,
    ( spl18_22
  <=> ! [X0] :
        ( in(X0,sK9)
        | ~ element(X0,the_carrier(sK8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_22])]) ).

fof(f1218,plain,
    ( sK9 = the_carrier(sK8)
    | in(sK0(sK9,the_carrier(sK8)),sK9)
    | ~ spl18_22 ),
    inference(factoring,[],[f1030]) ).

fof(f1030,plain,
    ( ! [X21] :
        ( in(sK0(X21,the_carrier(sK8)),sK9)
        | in(sK0(X21,the_carrier(sK8)),X21)
        | the_carrier(sK8) = X21 )
    | ~ spl18_22 ),
    inference(resolution,[],[f358,f490]) ).

fof(f490,plain,
    ( ! [X0] :
        ( ~ element(X0,the_carrier(sK8))
        | in(X0,sK9) )
    | ~ spl18_22 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f358,plain,
    ! [X2,X3] :
      ( element(sK0(X2,X3),X3)
      | X2 = X3
      | in(sK0(X2,X3),X2) ),
    inference(resolution,[],[f145,f161]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | element(X0,X1) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | element(X0,X1) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X1,X0] :
      ( in(X0,X1)
     => element(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).

fof(f145,plain,
    ! [X0,X1] :
      ( in(sK0(X0,X1),X1)
      | X0 = X1
      | in(sK0(X0,X1),X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f728,plain,
    ( spl18_10
    | spl18_24
    | ~ spl18_21 ),
    inference(avatar_split_clause,[],[f727,f485,f517,f323]) ).

fof(f323,plain,
    ( spl18_10
  <=> empty(the_carrier(sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_10])]) ).

fof(f485,plain,
    ( spl18_21
  <=> element(bottom_of_relstr(sK8),the_carrier(sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_21])]) ).

fof(f727,plain,
    ( in(bottom_of_relstr(sK8),the_carrier(sK8))
    | empty(the_carrier(sK8))
    | ~ spl18_21 ),
    inference(resolution,[],[f486,f185]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( ~ element(X0,X1)
      | empty(X1)
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | ~ element(X0,X1)
      | empty(X1) ),
    inference(rectify,[],[f79]) ).

fof(f79,plain,
    ! [X1,X0] :
      ( in(X1,X0)
      | ~ element(X1,X0)
      | empty(X0) ),
    inference(flattening,[],[f78]) ).

fof(f78,plain,
    ! [X1,X0] :
      ( in(X1,X0)
      | empty(X0)
      | ~ element(X1,X0) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X1,X0] :
      ( element(X1,X0)
     => ( in(X1,X0)
        | empty(X0) ) ),
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X1,X0] :
      ( element(X0,X1)
     => ( empty(X1)
        | in(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

fof(f486,plain,
    ( element(bottom_of_relstr(sK8),the_carrier(sK8))
    | ~ spl18_21 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f711,plain,
    ( spl18_6
    | ~ spl18_23
    | ~ spl18_1
    | spl18_22
    | ~ spl18_20
    | ~ spl18_5
    | ~ spl18_21
    | ~ spl18_18 ),
    inference(avatar_split_clause,[],[f709,f463,f485,f284,f481,f489,f216,f492,f288]) ).

fof(f288,plain,
    ( spl18_6
  <=> empty_carrier(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_6])]) ).

fof(f492,plain,
    ( spl18_23
  <=> antisymmetric_relstr(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_23])]) ).

fof(f481,plain,
    ( spl18_20
  <=> lower_bounded_relstr(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_20])]) ).

fof(f284,plain,
    ( spl18_5
  <=> rel_str(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_5])]) ).

fof(f463,plain,
    ( spl18_18
  <=> ! [X25,X24] :
        ( in(X25,sK9)
        | ~ element(X24,the_carrier(sK8))
        | ~ element(X25,the_carrier(sK8))
        | ~ in(X24,sK9)
        | ~ related(sK8,X24,X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_18])]) ).

fof(f709,plain,
    ( ! [X0] :
        ( ~ element(bottom_of_relstr(sK8),the_carrier(sK8))
        | ~ rel_str(sK8)
        | ~ lower_bounded_relstr(sK8)
        | ~ element(X0,the_carrier(sK8))
        | in(X0,sK9)
        | ~ in(bottom_of_relstr(sK8),sK9)
        | ~ antisymmetric_relstr(sK8)
        | empty_carrier(sK8) )
    | ~ spl18_18 ),
    inference(duplicate_literal_removal,[],[f707]) ).

fof(f707,plain,
    ( ! [X0] :
        ( ~ element(X0,the_carrier(sK8))
        | ~ in(bottom_of_relstr(sK8),sK9)
        | in(X0,sK9)
        | ~ element(bottom_of_relstr(sK8),the_carrier(sK8))
        | ~ lower_bounded_relstr(sK8)
        | ~ element(X0,the_carrier(sK8))
        | ~ rel_str(sK8)
        | empty_carrier(sK8)
        | ~ antisymmetric_relstr(sK8) )
    | ~ spl18_18 ),
    inference(resolution,[],[f464,f173]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( related(X0,bottom_of_relstr(X0),X1)
      | ~ lower_bounded_relstr(X0)
      | ~ rel_str(X0)
      | ~ element(X1,the_carrier(X0))
      | ~ antisymmetric_relstr(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ element(X1,the_carrier(X0))
          | related(X0,bottom_of_relstr(X0),X1) )
      | ~ lower_bounded_relstr(X0)
      | ~ antisymmetric_relstr(X0)
      | empty_carrier(X0)
      | ~ rel_str(X0) ),
    inference(flattening,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ element(X1,the_carrier(X0))
          | related(X0,bottom_of_relstr(X0),X1) )
      | ~ lower_bounded_relstr(X0)
      | ~ antisymmetric_relstr(X0)
      | ~ rel_str(X0)
      | empty_carrier(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0] :
      ( ( lower_bounded_relstr(X0)
        & antisymmetric_relstr(X0)
        & rel_str(X0)
        & ~ empty_carrier(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => related(X0,bottom_of_relstr(X0),X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_yellow_0) ).

fof(f464,plain,
    ( ! [X24,X25] :
        ( ~ related(sK8,X24,X25)
        | ~ element(X25,the_carrier(sK8))
        | ~ in(X24,sK9)
        | in(X25,sK9)
        | ~ element(X24,the_carrier(sK8)) )
    | ~ spl18_18 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f706,plain,
    ( spl18_10
    | spl18_14 ),
    inference(avatar_split_clause,[],[f705,f384,f323]) ).

fof(f705,plain,
    ! [X0] :
      ( in(X0,the_carrier(sK8))
      | empty(the_carrier(sK8))
      | ~ in(X0,sK9) ),
    inference(resolution,[],[f686,f185]) ).

fof(f686,plain,
    ! [X2] :
      ( element(X2,the_carrier(sK8))
      | ~ in(X2,sK9) ),
    inference(resolution,[],[f176,f204]) ).

fof(f204,plain,
    ! [X2,X0,X1] :
      ( ~ element(X2,powerset(X0))
      | element(X1,X0)
      | ~ in(X1,X2) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0,X1,X2] :
      ( ~ in(X1,X2)
      | ~ element(X2,powerset(X0))
      | element(X1,X0) ),
    inference(rectify,[],[f61]) ).

fof(f61,plain,
    ! [X0,X2,X1] :
      ( ~ in(X2,X1)
      | ~ element(X1,powerset(X0))
      | element(X2,X0) ),
    inference(flattening,[],[f60]) ).

fof(f60,plain,
    ! [X1,X0,X2] :
      ( element(X2,X0)
      | ~ element(X1,powerset(X0))
      | ~ in(X2,X1) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X1,X0,X2] :
      ( ( element(X1,powerset(X0))
        & in(X2,X1) )
     => element(X2,X0) ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X2,X1,X0] :
      ( ( element(X1,powerset(X2))
        & in(X0,X1) )
     => element(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).

fof(f695,plain,
    ( ~ spl18_15
    | spl18_18
    | ~ spl18_5 ),
    inference(avatar_split_clause,[],[f682,f284,f463,f415]) ).

fof(f415,plain,
    ( spl18_15
  <=> upper_relstr_subset(sK9,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_15])]) ).

fof(f682,plain,
    ! [X0,X1] :
      ( ~ rel_str(sK8)
      | ~ element(X0,the_carrier(sK8))
      | in(X1,sK9)
      | ~ upper_relstr_subset(sK9,sK8)
      | ~ in(X0,sK9)
      | ~ related(sK8,X0,X1)
      | ~ element(X1,the_carrier(sK8)) ),
    inference(resolution,[],[f176,f194]) ).

fof(f194,plain,
    ! [X0,X1,X4,X5] :
      ( ~ element(X1,powerset(the_carrier(X0)))
      | ~ in(X4,X1)
      | ~ rel_str(X0)
      | in(X5,X1)
      | ~ related(X0,X4,X5)
      | ~ upper_relstr_subset(X1,X0)
      | ~ element(X4,the_carrier(X0))
      | ~ element(X5,the_carrier(X0)) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( upper_relstr_subset(X1,X0)
              | ( element(sK13(X0,X1),the_carrier(X0))
                & element(sK14(X0,X1),the_carrier(X0))
                & related(X0,sK13(X0,X1),sK14(X0,X1))
                & ~ in(sK14(X0,X1),X1)
                & in(sK13(X0,X1),X1) ) )
            & ( ! [X4] :
                  ( ~ element(X4,the_carrier(X0))
                  | ! [X5] :
                      ( ~ element(X5,the_carrier(X0))
                      | ~ related(X0,X4,X5)
                      | in(X5,X1)
                      | ~ in(X4,X1) ) )
              | ~ upper_relstr_subset(X1,X0) ) )
          | ~ element(X1,powerset(the_carrier(X0))) )
      | ~ rel_str(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f133,f135,f134]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( element(X2,the_carrier(X0))
          & ? [X3] :
              ( element(X3,the_carrier(X0))
              & related(X0,X2,X3)
              & ~ in(X3,X1)
              & in(X2,X1) ) )
     => ( element(sK13(X0,X1),the_carrier(X0))
        & ? [X3] :
            ( element(X3,the_carrier(X0))
            & related(X0,sK13(X0,X1),X3)
            & ~ in(X3,X1)
            & in(sK13(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( element(X3,the_carrier(X0))
          & related(X0,sK13(X0,X1),X3)
          & ~ in(X3,X1)
          & in(sK13(X0,X1),X1) )
     => ( element(sK14(X0,X1),the_carrier(X0))
        & related(X0,sK13(X0,X1),sK14(X0,X1))
        & ~ in(sK14(X0,X1),X1)
        & in(sK13(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f133,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( upper_relstr_subset(X1,X0)
              | ? [X2] :
                  ( element(X2,the_carrier(X0))
                  & ? [X3] :
                      ( element(X3,the_carrier(X0))
                      & related(X0,X2,X3)
                      & ~ in(X3,X1)
                      & in(X2,X1) ) ) )
            & ( ! [X4] :
                  ( ~ element(X4,the_carrier(X0))
                  | ! [X5] :
                      ( ~ element(X5,the_carrier(X0))
                      | ~ related(X0,X4,X5)
                      | in(X5,X1)
                      | ~ in(X4,X1) ) )
              | ~ upper_relstr_subset(X1,X0) ) )
          | ~ element(X1,powerset(the_carrier(X0))) )
      | ~ rel_str(X0) ),
    inference(rectify,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( upper_relstr_subset(X1,X0)
              | ? [X2] :
                  ( element(X2,the_carrier(X0))
                  & ? [X3] :
                      ( element(X3,the_carrier(X0))
                      & related(X0,X2,X3)
                      & ~ in(X3,X1)
                      & in(X2,X1) ) ) )
            & ( ! [X2] :
                  ( ~ element(X2,the_carrier(X0))
                  | ! [X3] :
                      ( ~ element(X3,the_carrier(X0))
                      | ~ related(X0,X2,X3)
                      | in(X3,X1)
                      | ~ in(X2,X1) ) )
              | ~ upper_relstr_subset(X1,X0) ) )
          | ~ element(X1,powerset(the_carrier(X0))) )
      | ~ rel_str(X0) ),
    inference(nnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( upper_relstr_subset(X1,X0)
          <=> ! [X2] :
                ( ~ element(X2,the_carrier(X0))
                | ! [X3] :
                    ( ~ element(X3,the_carrier(X0))
                    | ~ related(X0,X2,X3)
                    | in(X3,X1)
                    | ~ in(X2,X1) ) ) )
          | ~ element(X1,powerset(the_carrier(X0))) )
      | ~ rel_str(X0) ),
    inference(flattening,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( upper_relstr_subset(X1,X0)
          <=> ! [X2] :
                ( ! [X3] :
                    ( in(X3,X1)
                    | ~ in(X2,X1)
                    | ~ related(X0,X2,X3)
                    | ~ element(X3,the_carrier(X0)) )
                | ~ element(X2,the_carrier(X0)) ) )
          | ~ element(X1,powerset(the_carrier(X0))) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( element(X1,powerset(the_carrier(X0)))
         => ( upper_relstr_subset(X1,X0)
          <=> ! [X2] :
                ( element(X2,the_carrier(X0))
               => ! [X3] :
                    ( element(X3,the_carrier(X0))
                   => ( ( in(X2,X1)
                        & related(X0,X2,X3) )
                     => in(X3,X1) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_waybel_0) ).

fof(f692,plain,
    ( spl18_2
    | spl18_12 ),
    inference(avatar_split_clause,[],[f685,f350,f220]) ).

fof(f685,plain,
    ( sK9 = the_carrier(sK8)
    | proper_element(sK9,powerset(the_carrier(sK8))) ),
    inference(resolution,[],[f176,f151]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( ~ element(X1,powerset(X0))
      | proper_element(X1,powerset(X0))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f107]) ).

fof(f674,plain,
    ~ spl18_6,
    inference(avatar_contradiction_clause,[],[f671]) ).

fof(f671,plain,
    ( $false
    | ~ spl18_6 ),
    inference(resolution,[],[f290,f182]) ).

fof(f182,plain,
    ~ empty_carrier(sK8),
    inference(cnf_transformation,[],[f123]) ).

fof(f290,plain,
    ( empty_carrier(sK8)
    | ~ spl18_6 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f545,plain,
    spl18_25,
    inference(avatar_contradiction_clause,[],[f544]) ).

fof(f544,plain,
    ( $false
    | spl18_25 ),
    inference(resolution,[],[f535,f228]) ).

fof(f228,plain,
    one_sorted_str(sK8),
    inference(resolution,[],[f211,f180]) ).

fof(f180,plain,
    rel_str(sK8),
    inference(cnf_transformation,[],[f123]) ).

fof(f211,plain,
    ! [X0] :
      ( ~ rel_str(X0)
      | one_sorted_str(X0) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0] :
      ( one_sorted_str(X0)
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( rel_str(X0)
     => one_sorted_str(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).

fof(f535,plain,
    ( ~ one_sorted_str(sK8)
    | spl18_25 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f533,plain,
    ( spl18_25
  <=> one_sorted_str(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_25])]) ).

fof(f536,plain,
    ( ~ spl18_25
    | spl18_6
    | ~ spl18_10 ),
    inference(avatar_split_clause,[],[f521,f323,f288,f533]) ).

fof(f521,plain,
    ( empty_carrier(sK8)
    | ~ one_sorted_str(sK8)
    | ~ spl18_10 ),
    inference(resolution,[],[f324,f162]) ).

fof(f162,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(flattening,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ( one_sorted_str(X0)
        & ~ empty_carrier(X0) )
     => ~ empty(the_carrier(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).

fof(f324,plain,
    ( empty(the_carrier(sK8))
    | ~ spl18_10 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f512,plain,
    spl18_23,
    inference(avatar_contradiction_clause,[],[f511]) ).

fof(f511,plain,
    ( $false
    | spl18_23 ),
    inference(resolution,[],[f494,f181]) ).

fof(f181,plain,
    antisymmetric_relstr(sK8),
    inference(cnf_transformation,[],[f123]) ).

fof(f494,plain,
    ( ~ antisymmetric_relstr(sK8)
    | spl18_23 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f510,plain,
    ( ~ spl18_5
    | spl18_21 ),
    inference(avatar_split_clause,[],[f503,f485,f284]) ).

fof(f503,plain,
    ( ~ rel_str(sK8)
    | spl18_21 ),
    inference(resolution,[],[f487,f203]) ).

fof(f203,plain,
    ! [X0] :
      ( element(bottom_of_relstr(X0),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ rel_str(X0)
      | element(bottom_of_relstr(X0),the_carrier(X0)) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( rel_str(X0)
     => element(bottom_of_relstr(X0),the_carrier(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_0) ).

fof(f487,plain,
    ( ~ element(bottom_of_relstr(sK8),the_carrier(sK8))
    | spl18_21 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f497,plain,
    spl18_20,
    inference(avatar_contradiction_clause,[],[f496]) ).

fof(f496,plain,
    ( $false
    | spl18_20 ),
    inference(resolution,[],[f483,f184]) ).

fof(f184,plain,
    lower_bounded_relstr(sK8),
    inference(cnf_transformation,[],[f123]) ).

fof(f483,plain,
    ( ~ lower_bounded_relstr(sK8)
    | spl18_20 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f468,plain,
    spl18_15,
    inference(avatar_contradiction_clause,[],[f467]) ).

fof(f467,plain,
    ( $false
    | spl18_15 ),
    inference(resolution,[],[f416,f178]) ).

fof(f178,plain,
    upper_relstr_subset(sK9,sK8),
    inference(cnf_transformation,[],[f123]) ).

fof(f416,plain,
    ( ~ upper_relstr_subset(sK9,sK8)
    | spl18_15 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f297,plain,
    spl18_5,
    inference(avatar_contradiction_clause,[],[f296]) ).

fof(f296,plain,
    ( $false
    | spl18_5 ),
    inference(resolution,[],[f286,f180]) ).

fof(f286,plain,
    ( ~ rel_str(sK8)
    | spl18_5 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f224,plain,
    ( spl18_1
    | ~ spl18_2 ),
    inference(avatar_split_clause,[],[f175,f220,f216]) ).

fof(f175,plain,
    ( ~ proper_element(sK9,powerset(the_carrier(sK8)))
    | in(bottom_of_relstr(sK8),sK9) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f223,plain,
    ( ~ spl18_1
    | spl18_2 ),
    inference(avatar_split_clause,[],[f174,f220,f216]) ).

fof(f174,plain,
    ( proper_element(sK9,powerset(the_carrier(sK8)))
    | ~ in(bottom_of_relstr(sK8),sK9) ),
    inference(cnf_transformation,[],[f123]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : SEU383+1 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.09  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.29  % Computer : n022.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Tue Aug 30 15:34:56 EDT 2022
% 0.09/0.29  % CPUTime    : 
% 0.14/0.45  % (10810)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)
% 0.14/0.45  % (10827)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)
% 0.14/0.45  % (10818)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)
% 0.14/0.46  % (10819)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)
% 0.14/0.46  % (10811)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)
% 0.14/0.47  % (10826)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)
% 0.14/0.47  % (10818)Instruction limit reached!
% 0.14/0.47  % (10818)------------------------------
% 0.14/0.47  % (10818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47  % (10819)Instruction limit reached!
% 0.14/0.47  % (10819)------------------------------
% 0.14/0.47  % (10819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48  % (10818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48  % (10818)Termination reason: Unknown
% 0.14/0.48  % (10818)Termination phase: Saturation
% 0.14/0.48  
% 0.14/0.48  % (10818)Memory used [KB]: 6012
% 0.14/0.48  % (10818)Time elapsed: 0.005 s
% 0.14/0.48  % (10818)Instructions burned: 4 (million)
% 0.14/0.48  % (10818)------------------------------
% 0.14/0.48  % (10818)------------------------------
% 0.14/0.48  % (10819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48  % (10819)Termination reason: Unknown
% 0.14/0.48  % (10819)Termination phase: Saturation
% 0.14/0.48  
% 0.14/0.48  % (10819)Memory used [KB]: 6140
% 0.14/0.48  % (10819)Time elapsed: 0.126 s
% 0.14/0.48  % (10819)Instructions burned: 7 (million)
% 0.14/0.48  % (10819)------------------------------
% 0.14/0.48  % (10819)------------------------------
% 0.14/0.48  % (10815)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)
% 0.14/0.49  % (10814)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)
% 0.14/0.49  % (10816)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)
% 0.14/0.49  % (10814)Refutation not found, incomplete strategy% (10814)------------------------------
% 0.14/0.49  % (10814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49  % (10814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49  % (10814)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.49  
% 0.14/0.49  % (10814)Memory used [KB]: 6012
% 0.14/0.49  % (10814)Time elapsed: 0.143 s
% 0.14/0.49  % (10814)Instructions burned: 5 (million)
% 0.14/0.49  % (10814)------------------------------
% 0.14/0.49  % (10814)------------------------------
% 0.14/0.49  % (10804)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.14/0.50  % (10809)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)
% 0.14/0.50  % (10812)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)
% 0.14/0.50  % (10807)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)
% 0.14/0.51  % (10808)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)
% 0.14/0.51  % (10806)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)
% 0.14/0.51  % (10813)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)
% 0.14/0.51  % (10833)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)
% 0.14/0.51  % (10815)Instruction limit reached!
% 0.14/0.51  % (10815)------------------------------
% 0.14/0.51  % (10815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51  % (10815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51  % (10815)Termination reason: Unknown
% 0.14/0.51  % (10815)Termination phase: Saturation
% 0.14/0.51  
% 0.14/0.51  % (10815)Memory used [KB]: 6140
% 0.14/0.51  % (10815)Time elapsed: 0.162 s
% 0.14/0.51  % (10815)Instructions burned: 7 (million)
% 0.14/0.51  % (10815)------------------------------
% 0.14/0.51  % (10815)------------------------------
% 0.14/0.51  % (10832)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)
% 0.14/0.51  % (10828)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)
% 0.14/0.51  % (10810)Instruction limit reached!
% 0.14/0.51  % (10810)------------------------------
% 0.14/0.51  % (10810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52  % (10831)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)
% 0.14/0.52  % (10830)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)
% 0.14/0.52  % (10816)Refutation not found, incomplete strategy% (10816)------------------------------
% 0.14/0.52  % (10816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52  % (10817)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)
% 0.14/0.52  % (10821)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.52  % (10811)Instruction limit reached!
% 0.14/0.52  % (10811)------------------------------
% 0.14/0.52  % (10811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52  % (10824)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)
% 0.14/0.52  % (10821)Instruction limit reached!
% 0.14/0.52  % (10821)------------------------------
% 0.14/0.52  % (10821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52  % (10821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.52  % (10821)Termination reason: Unknown
% 0.14/0.52  % (10821)Termination phase: Finite model building preprocessing
% 0.14/0.52  
% 0.14/0.52  % (10821)Memory used [KB]: 1535
% 0.14/0.52  % (10821)Time elapsed: 0.003 s
% 0.14/0.52  % (10821)Instructions burned: 4 (million)
% 0.14/0.52  % (10821)------------------------------
% 0.14/0.52  % (10821)------------------------------
% 0.14/0.52  % (10825)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)
% 0.14/0.52  % (10829)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)
% 0.14/0.52  % (10822)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)
% 0.14/0.52  % (10816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.52  % (10816)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.52  
% 0.14/0.52  % (10816)Memory used [KB]: 1663
% 0.14/0.52  % (10816)Time elapsed: 0.147 s
% 0.14/0.52  % (10816)Instructions burned: 8 (million)
% 0.14/0.52  % (10816)------------------------------
% 0.14/0.52  % (10816)------------------------------
% 0.14/0.53  % (10826)First to succeed.
% 0.14/0.53  % (10810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.53  % (10823)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)
% 0.14/0.53  % (10810)Termination reason: Unknown
% 0.14/0.53  % (10810)Termination phase: Saturation
% 0.14/0.53  
% 0.14/0.53  % (10810)Memory used [KB]: 6524
% 0.14/0.53  % (10810)Time elapsed: 0.151 s
% 0.14/0.53  % (10810)Instructions burned: 40 (million)
% 0.14/0.53  % (10810)------------------------------
% 0.14/0.53  % (10810)------------------------------
% 0.14/0.53  % (10806)Instruction limit reached!
% 0.14/0.53  % (10806)------------------------------
% 0.14/0.53  % (10806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.53  % (10806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.53  % (10806)Termination reason: Unknown
% 0.14/0.53  % (10806)Termination phase: Saturation
% 0.14/0.53  
% 0.14/0.53  % (10806)Memory used [KB]: 1535
% 0.14/0.53  % (10806)Time elapsed: 0.004 s
% 0.14/0.53  % (10806)Instructions burned: 3 (million)
% 0.14/0.53  % (10806)------------------------------
% 0.14/0.53  % (10806)------------------------------
% 0.14/0.53  % (10808)Instruction limit reached!
% 0.14/0.53  % (10808)------------------------------
% 0.14/0.53  % (10808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.53  % (10832)Instruction limit reached!
% 0.14/0.53  % (10832)------------------------------
% 0.14/0.53  % (10832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.53  % (10809)Instruction limit reached!
% 0.14/0.53  % (10809)------------------------------
% 0.14/0.53  % (10809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.53  % (10809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.53  % (10809)Termination reason: Unknown
% 0.14/0.53  % (10809)Termination phase: Saturation
% 0.14/0.53  
% 0.14/0.53  % (10809)Memory used [KB]: 1663
% 0.14/0.53  % (10809)Time elapsed: 0.181 s
% 0.14/0.53  % (10809)Instructions burned: 16 (million)
% 0.14/0.53  % (10809)------------------------------
% 0.14/0.53  % (10809)------------------------------
% 0.14/0.53  % (10832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.53  % (10832)Termination reason: Unknown
% 0.14/0.53  % (10832)Termination phase: Saturation
% 0.14/0.53  
% 0.14/0.53  % (10832)Memory used [KB]: 6140
% 0.14/0.53  % (10832)Time elapsed: 0.164 s
% 0.14/0.53  % (10832)Instructions burned: 8 (million)
% 0.14/0.53  % (10832)------------------------------
% 0.14/0.53  % (10832)------------------------------
% 0.14/0.53  % (10805)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)
% 0.14/0.53  % (10826)Refutation found. Thanks to Tanya!
% 0.14/0.53  % SZS status Theorem for theBenchmark
% 0.14/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.54  % (10826)------------------------------
% 0.14/0.54  % (10826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.54  % (10826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.54  % (10826)Termination reason: Refutation
% 0.14/0.54  
% 0.14/0.54  % (10826)Memory used [KB]: 6780
% 0.14/0.54  % (10826)Time elapsed: 0.167 s
% 0.14/0.54  % (10826)Instructions burned: 33 (million)
% 0.14/0.54  % (10826)------------------------------
% 0.14/0.54  % (10826)------------------------------
% 0.14/0.54  % (10803)Success in time 0.231 s
%------------------------------------------------------------------------------