TSTP Solution File: NUM401+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM401+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 : n028.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 18:04:59 EDT 2022

% Result   : Theorem 1.99s 0.80s
% Output   : Refutation 1.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  137 (  14 unt;   0 def)
%            Number of atoms       :  533 (  86 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  593 ( 197   ~; 261   |;  95   &)
%                                         (  18 <=>;  21  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-3 aty)
%            Number of variables   :  209 ( 187   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1059,plain,
    $false,
    inference(resolution,[],[f1015,f337]) ).

fof(f337,plain,
    ~ ordinal(sK1),
    inference(consistent_polarity_flipping,[],[f190]) ).

fof(f190,plain,
    ordinal(sK1),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ( ordinal(sK1)
    & epsilon_connected(sK1)
    & epsilon_transitive(sK1)
    & ~ empty(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f35,f116]) ).

fof(f116,plain,
    ( ? [X0] :
        ( ordinal(X0)
        & epsilon_connected(X0)
        & epsilon_transitive(X0)
        & ~ empty(X0) )
   => ( ordinal(sK1)
      & epsilon_connected(sK1)
      & epsilon_transitive(sK1)
      & ~ empty(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,axiom,
    ? [X0] :
      ( ordinal(X0)
      & epsilon_connected(X0)
      & epsilon_transitive(X0)
      & ~ empty(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_ordinal1) ).

fof(f1015,plain,
    ! [X0] : ordinal(X0),
    inference(subsumption_resolution,[],[f1008,f291]) ).

fof(f291,plain,
    ~ ordinal(sK7),
    inference(consistent_polarity_flipping,[],[f221]) ).

fof(f221,plain,
    ordinal(sK7),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ( ( ~ ordinal_subset(sK6,sK7)
      | ~ in(sK6,succ(sK7)) )
    & ( ordinal_subset(sK6,sK7)
      | in(sK6,succ(sK7)) )
    & ordinal(sK7)
    & ordinal(sK6) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f132,f134,f133]) ).

fof(f133,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ( ~ ordinal_subset(X0,X1)
              | ~ in(X0,succ(X1)) )
            & ( ordinal_subset(X0,X1)
              | in(X0,succ(X1)) )
            & ordinal(X1) )
        & ordinal(X0) )
   => ( ? [X1] :
          ( ( ~ ordinal_subset(sK6,X1)
            | ~ in(sK6,succ(X1)) )
          & ( ordinal_subset(sK6,X1)
            | in(sK6,succ(X1)) )
          & ordinal(X1) )
      & ordinal(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f134,plain,
    ( ? [X1] :
        ( ( ~ ordinal_subset(sK6,X1)
          | ~ in(sK6,succ(X1)) )
        & ( ordinal_subset(sK6,X1)
          | in(sK6,succ(X1)) )
        & ordinal(X1) )
   => ( ( ~ ordinal_subset(sK6,sK7)
        | ~ in(sK6,succ(sK7)) )
      & ( ordinal_subset(sK6,sK7)
        | in(sK6,succ(sK7)) )
      & ordinal(sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f132,plain,
    ? [X0] :
      ( ? [X1] :
          ( ( ~ ordinal_subset(X0,X1)
            | ~ in(X0,succ(X1)) )
          & ( ordinal_subset(X0,X1)
            | in(X0,succ(X1)) )
          & ordinal(X1) )
      & ordinal(X0) ),
    inference(flattening,[],[f131]) ).

fof(f131,plain,
    ? [X0] :
      ( ? [X1] :
          ( ( ~ ordinal_subset(X0,X1)
            | ~ in(X0,succ(X1)) )
          & ( ordinal_subset(X0,X1)
            | in(X0,succ(X1)) )
          & ordinal(X1) )
      & ordinal(X0) ),
    inference(nnf_transformation,[],[f109]) ).

fof(f109,plain,
    ? [X0] :
      ( ? [X1] :
          ( ( in(X0,succ(X1))
          <~> ordinal_subset(X0,X1) )
          & ordinal(X1) )
      & ordinal(X0) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,negated_conjecture,
    ~ ! [X0] :
        ( ordinal(X0)
       => ! [X1] :
            ( ordinal(X1)
           => ( in(X0,succ(X1))
            <=> ordinal_subset(X0,X1) ) ) ),
    inference(negated_conjecture,[],[f48]) ).

fof(f48,conjecture,
    ! [X0] :
      ( ordinal(X0)
     => ! [X1] :
          ( ordinal(X1)
         => ( in(X0,succ(X1))
          <=> ordinal_subset(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_ordinal1) ).

fof(f1008,plain,
    ! [X0] :
      ( ordinal(sK7)
      | ordinal(X0) ),
    inference(resolution,[],[f1006,f340]) ).

fof(f340,plain,
    ! [X0,X1] :
      ( ordinal(X1)
      | ordinal_subset(X0,X0)
      | ordinal(X0) ),
    inference(consistent_polarity_flipping,[],[f238]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( ordinal_subset(X0,X0)
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | ordinal_subset(X0,X0) ),
    inference(flattening,[],[f101]) ).

fof(f101,plain,
    ! [X1,X0] :
      ( ordinal_subset(X0,X0)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,axiom,
    ! [X1,X0] :
      ( ( ordinal(X1)
        & ordinal(X0) )
     => ordinal_subset(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_ordinal1) ).

fof(f1006,plain,
    ~ ordinal_subset(sK7,sK7),
    inference(subsumption_resolution,[],[f985,f305]) ).

fof(f305,plain,
    ! [X2] : ~ in(X2,singleton(X2)),
    inference(consistent_polarity_flipping,[],[f288]) ).

fof(f288,plain,
    ! [X2] : in(X2,singleton(X2)),
    inference(equality_resolution,[],[f287]) ).

fof(f287,plain,
    ! [X2,X1] :
      ( in(X2,X1)
      | singleton(X2) != X1 ),
    inference(equality_resolution,[],[f246]) ).

fof(f246,plain,
    ! [X2,X0,X1] :
      ( in(X2,X1)
      | X0 != X2
      | singleton(X0) != X1 ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ( X0 = X2
              | ~ in(X2,X1) )
            & ( in(X2,X1)
              | X0 != X2 ) )
        | singleton(X0) != X1 )
      & ( singleton(X0) = X1
        | ( ( ~ in(sK12(X0,X1),X1)
            | sK12(X0,X1) != X0 )
          & ( in(sK12(X0,X1),X1)
            | sK12(X0,X1) = X0 ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f150,f151]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ( ~ in(X3,X1)
            | X0 != X3 )
          & ( in(X3,X1)
            | X0 = X3 ) )
     => ( ( ~ in(sK12(X0,X1),X1)
          | sK12(X0,X1) != X0 )
        & ( in(sK12(X0,X1),X1)
          | sK12(X0,X1) = X0 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ( X0 = X2
              | ~ in(X2,X1) )
            & ( in(X2,X1)
              | X0 != X2 ) )
        | singleton(X0) != X1 )
      & ( singleton(X0) = X1
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | X0 != X3 )
            & ( in(X3,X1)
              | X0 = X3 ) ) ) ),
    inference(rectify,[],[f149]) ).

fof(f149,plain,
    ! [X1,X0] :
      ( ( ! [X2] :
            ( ( X1 = X2
              | ~ in(X2,X0) )
            & ( in(X2,X0)
              | X1 != X2 ) )
        | singleton(X1) != X0 )
      & ( singleton(X1) = X0
        | ? [X2] :
            ( ( ~ in(X2,X0)
              | X1 != X2 )
            & ( in(X2,X0)
              | X1 = X2 ) ) ) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( X1 = X2
        <=> in(X2,X0) )
    <=> singleton(X1) = X0 ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X1,X0] :
      ( ! [X2] :
          ( in(X2,X1)
        <=> X0 = X2 )
    <=> singleton(X0) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).

fof(f985,plain,
    ( ~ ordinal_subset(sK7,sK7)
    | in(sK7,singleton(sK7)) ),
    inference(superposition,[],[f400,f961]) ).

fof(f961,plain,
    sK7 = sK6,
    inference(subsumption_resolution,[],[f959,f291]) ).

fof(f959,plain,
    ( ordinal(sK7)
    | sK7 = sK6 ),
    inference(resolution,[],[f909,f312]) ).

fof(f312,plain,
    ! [X0] :
      ( ~ epsilon_transitive(X0)
      | ordinal(X0) ),
    inference(consistent_polarity_flipping,[],[f215]) ).

fof(f215,plain,
    ! [X0] :
      ( epsilon_transitive(X0)
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0] :
      ( ( epsilon_transitive(X0)
        & epsilon_connected(X0) )
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ordinal(X0)
     => ( epsilon_transitive(X0)
        & epsilon_connected(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_ordinal1) ).

fof(f909,plain,
    ( epsilon_transitive(sK7)
    | sK7 = sK6 ),
    inference(subsumption_resolution,[],[f907,f316]) ).

fof(f316,plain,
    ~ ordinal(sK6),
    inference(consistent_polarity_flipping,[],[f220]) ).

fof(f220,plain,
    ordinal(sK6),
    inference(cnf_transformation,[],[f135]) ).

fof(f907,plain,
    ( ordinal(sK6)
    | sK7 = sK6
    | epsilon_transitive(sK7) ),
    inference(resolution,[],[f901,f312]) ).

fof(f901,plain,
    ( epsilon_transitive(sK6)
    | sK7 = sK6
    | epsilon_transitive(sK7) ),
    inference(duplicate_literal_removal,[],[f899]) ).

fof(f899,plain,
    ( sK7 = sK6
    | sK7 = sK6
    | epsilon_transitive(sK6)
    | epsilon_transitive(sK7) ),
    inference(resolution,[],[f892,f887]) ).

fof(f887,plain,
    ( ~ in(sK7,sK6)
    | epsilon_transitive(sK7)
    | sK7 = sK6 ),
    inference(subsumption_resolution,[],[f886,f316]) ).

fof(f886,plain,
    ( ~ in(sK7,sK6)
    | sK7 = sK6
    | epsilon_transitive(sK7)
    | ordinal(sK6) ),
    inference(subsumption_resolution,[],[f885,f291]) ).

fof(f885,plain,
    ( sK7 = sK6
    | epsilon_transitive(sK7)
    | ordinal(sK7)
    | ordinal(sK6)
    | ~ in(sK7,sK6) ),
    inference(duplicate_literal_removal,[],[f884]) ).

fof(f884,plain,
    ( ordinal(sK7)
    | ~ in(sK7,sK6)
    | ordinal(sK6)
    | sK7 = sK6
    | epsilon_transitive(sK7)
    | sK7 = sK6 ),
    inference(resolution,[],[f862,f343]) ).

fof(f343,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ordinal(X1)
      | ordinal(X0)
      | ~ in(X0,X1)
      | X0 = X1 ),
    inference(consistent_polarity_flipping,[],[f224]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | X0 = X1
      | in(X1,X0)
      | ~ ordinal(X0)
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ! [X1] :
          ( in(X1,X0)
          | X0 = X1
          | ~ ordinal(X1)
          | in(X0,X1) ) ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ! [X0] :
      ( ! [X1] :
          ( in(X0,X1)
          | in(X1,X0)
          | X0 = X1
          | ~ ordinal(X1) )
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,axiom,
    ! [X0] :
      ( ordinal(X0)
     => ! [X1] :
          ( ordinal(X1)
         => ~ ( ~ in(X0,X1)
              & ~ in(X1,X0)
              & X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_ordinal1) ).

fof(f862,plain,
    ( in(sK6,sK7)
    | sK7 = sK6
    | epsilon_transitive(sK7) ),
    inference(duplicate_literal_removal,[],[f860]) ).

fof(f860,plain,
    ( sK7 = sK6
    | epsilon_transitive(sK7)
    | in(sK6,sK7)
    | in(sK6,sK7) ),
    inference(resolution,[],[f853,f322]) ).

fof(f322,plain,
    ! [X2,X0] :
      ( subset(X2,X0)
      | epsilon_transitive(X0)
      | in(X2,X0) ),
    inference(consistent_polarity_flipping,[],[f253]) ).

fof(f253,plain,
    ! [X2,X0] :
      ( ~ epsilon_transitive(X0)
      | ~ in(X2,X0)
      | subset(X2,X0) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f158,plain,
    ! [X0] :
      ( ( epsilon_transitive(X0)
        | ( ~ subset(sK13(X0),X0)
          & in(sK13(X0),X0) ) )
      & ( ! [X2] :
            ( subset(X2,X0)
            | ~ in(X2,X0) )
        | ~ epsilon_transitive(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f156,f157]) ).

fof(f157,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ subset(X1,X0)
          & in(X1,X0) )
     => ( ~ subset(sK13(X0),X0)
        & in(sK13(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f156,plain,
    ! [X0] :
      ( ( epsilon_transitive(X0)
        | ? [X1] :
            ( ~ subset(X1,X0)
            & in(X1,X0) ) )
      & ( ! [X2] :
            ( subset(X2,X0)
            | ~ in(X2,X0) )
        | ~ epsilon_transitive(X0) ) ),
    inference(rectify,[],[f155]) ).

fof(f155,plain,
    ! [X0] :
      ( ( epsilon_transitive(X0)
        | ? [X1] :
            ( ~ subset(X1,X0)
            & in(X1,X0) ) )
      & ( ! [X1] :
            ( subset(X1,X0)
            | ~ in(X1,X0) )
        | ~ epsilon_transitive(X0) ) ),
    inference(nnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0] :
      ( epsilon_transitive(X0)
    <=> ! [X1] :
          ( subset(X1,X0)
          | ~ in(X1,X0) ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( ! [X1] :
          ( in(X1,X0)
         => subset(X1,X0) )
    <=> epsilon_transitive(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1) ).

fof(f853,plain,
    ( ~ subset(sK6,sK7)
    | sK7 = sK6
    | in(sK6,sK7) ),
    inference(resolution,[],[f235,f609]) ).

fof(f609,plain,
    ( subset(sK7,sK6)
    | in(sK6,sK7) ),
    inference(subsumption_resolution,[],[f608,f291]) ).

fof(f608,plain,
    ( ordinal(sK7)
    | in(sK6,sK7)
    | subset(sK7,sK6) ),
    inference(subsumption_resolution,[],[f607,f316]) ).

fof(f607,plain,
    ( ordinal(sK6)
    | subset(sK7,sK6)
    | in(sK6,sK7)
    | ordinal(sK7) ),
    inference(resolution,[],[f593,f309]) ).

fof(f309,plain,
    ! [X0,X1] :
      ( ~ ordinal_subset(X0,X1)
      | ordinal(X0)
      | subset(X0,X1)
      | ordinal(X1) ),
    inference(consistent_polarity_flipping,[],[f239]) ).

fof(f239,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | ~ ordinal_subset(X0,X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | ( ( ordinal_subset(X0,X1)
          | ~ subset(X0,X1) )
        & ( subset(X0,X1)
          | ~ ordinal_subset(X0,X1) ) )
      | ~ ordinal(X0) ),
    inference(rectify,[],[f145]) ).

fof(f145,plain,
    ! [X1,X0] :
      ( ~ ordinal(X0)
      | ( ( ordinal_subset(X1,X0)
          | ~ subset(X1,X0) )
        & ( subset(X1,X0)
          | ~ ordinal_subset(X1,X0) ) )
      | ~ ordinal(X1) ),
    inference(nnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X1,X0] :
      ( ~ ordinal(X0)
      | ( ordinal_subset(X1,X0)
      <=> subset(X1,X0) )
      | ~ ordinal(X1) ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ! [X1,X0] :
      ( ( ordinal_subset(X1,X0)
      <=> subset(X1,X0) )
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X1,X0] :
      ( ( ordinal(X0)
        & ordinal(X1) )
     => ( ordinal_subset(X1,X0)
      <=> subset(X1,X0) ) ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X1,X0] :
      ( ( ordinal(X0)
        & ordinal(X1) )
     => ( subset(X0,X1)
      <=> ordinal_subset(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).

fof(f593,plain,
    ( ordinal_subset(sK7,sK6)
    | in(sK6,sK7) ),
    inference(subsumption_resolution,[],[f592,f316]) ).

fof(f592,plain,
    ( in(sK6,sK7)
    | ordinal_subset(sK7,sK6)
    | ordinal(sK6) ),
    inference(subsumption_resolution,[],[f585,f291]) ).

fof(f585,plain,
    ( ordinal(sK7)
    | ordinal(sK6)
    | in(sK6,sK7)
    | ordinal_subset(sK7,sK6) ),
    inference(resolution,[],[f333,f442]) ).

fof(f442,plain,
    ( ~ ordinal_subset(sK6,sK7)
    | in(sK6,sK7) ),
    inference(resolution,[],[f341,f346]) ).

fof(f346,plain,
    ( in(sK6,set_union2(sK7,singleton(sK7)))
    | ~ ordinal_subset(sK6,sK7) ),
    inference(consistent_polarity_flipping,[],[f278]) ).

fof(f278,plain,
    ( ~ in(sK6,set_union2(sK7,singleton(sK7)))
    | ~ ordinal_subset(sK6,sK7) ),
    inference(definition_unfolding,[],[f223,f201]) ).

fof(f201,plain,
    ! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_ordinal1) ).

fof(f223,plain,
    ( ~ ordinal_subset(sK6,sK7)
    | ~ in(sK6,succ(sK7)) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f341,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,set_union2(X1,X0))
      | in(X3,X1) ),
    inference(consistent_polarity_flipping,[],[f281]) ).

fof(f281,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,X1)
      | in(X3,set_union2(X1,X0)) ),
    inference(equality_resolution,[],[f200]) ).

fof(f200,plain,
    ! [X2,X3,X0,X1] :
      ( in(X3,X2)
      | ~ in(X3,X1)
      | set_union2(X1,X0) != X2 ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X0)
              | ~ in(X3,X2) ) )
        | set_union2(X1,X0) != X2 )
      & ( set_union2(X1,X0) = X2
        | ( ( ( ~ in(sK3(X0,X1,X2),X1)
              & ~ in(sK3(X0,X1,X2),X0) )
            | ~ in(sK3(X0,X1,X2),X2) )
          & ( in(sK3(X0,X1,X2),X1)
            | in(sK3(X0,X1,X2),X0)
            | in(sK3(X0,X1,X2),X2) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f122,f123]) ).

fof(f123,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( ( ( ~ in(X4,X1)
              & ~ in(X4,X0) )
            | ~ in(X4,X2) )
          & ( in(X4,X1)
            | in(X4,X0)
            | in(X4,X2) ) )
     => ( ( ( ~ in(sK3(X0,X1,X2),X1)
            & ~ in(sK3(X0,X1,X2),X0) )
          | ~ in(sK3(X0,X1,X2),X2) )
        & ( in(sK3(X0,X1,X2),X1)
          | in(sK3(X0,X1,X2),X0)
          | in(sK3(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f122,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X0)
              | ~ in(X3,X2) ) )
        | set_union2(X1,X0) != X2 )
      & ( set_union2(X1,X0) = X2
        | ? [X4] :
            ( ( ( ~ in(X4,X1)
                & ~ in(X4,X0) )
              | ~ in(X4,X2) )
            & ( in(X4,X1)
              | in(X4,X0)
              | in(X4,X2) ) ) ) ),
    inference(rectify,[],[f121]) ).

fof(f121,plain,
    ! [X2,X0,X1] :
      ( ( ! [X3] :
            ( ( in(X3,X1)
              | ( ~ in(X3,X0)
                & ~ in(X3,X2) ) )
            & ( in(X3,X0)
              | in(X3,X2)
              | ~ in(X3,X1) ) )
        | set_union2(X0,X2) != X1 )
      & ( set_union2(X0,X2) = X1
        | ? [X3] :
            ( ( ( ~ in(X3,X0)
                & ~ in(X3,X2) )
              | ~ in(X3,X1) )
            & ( in(X3,X0)
              | in(X3,X2)
              | in(X3,X1) ) ) ) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ! [X2,X0,X1] :
      ( ( ! [X3] :
            ( ( in(X3,X1)
              | ( ~ in(X3,X0)
                & ~ in(X3,X2) ) )
            & ( in(X3,X0)
              | in(X3,X2)
              | ~ in(X3,X1) ) )
        | set_union2(X0,X2) != X1 )
      & ( set_union2(X0,X2) = X1
        | ? [X3] :
            ( ( ( ~ in(X3,X0)
                & ~ in(X3,X2) )
              | ~ in(X3,X1) )
            & ( in(X3,X0)
              | in(X3,X2)
              | in(X3,X1) ) ) ) ),
    inference(nnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X2,X0,X1] :
      ( ! [X3] :
          ( in(X3,X1)
        <=> ( in(X3,X0)
            | in(X3,X2) ) )
    <=> set_union2(X0,X2) = X1 ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X2,X1] :
      ( ! [X3] :
          ( ( in(X3,X0)
            | in(X3,X1) )
        <=> in(X3,X2) )
    <=> set_union2(X0,X1) = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).

fof(f333,plain,
    ! [X0,X1] :
      ( ordinal_subset(X1,X0)
      | ordinal_subset(X0,X1)
      | ordinal(X1)
      | ordinal(X0) ),
    inference(consistent_polarity_flipping,[],[f193]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | ordinal_subset(X0,X1)
      | ~ ordinal(X0)
      | ordinal_subset(X1,X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | ordinal_subset(X1,X0)
      | ~ ordinal(X0)
      | ordinal_subset(X0,X1) ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ordinal_subset(X1,X0)
      | ordinal_subset(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ( ordinal(X0)
        & ordinal(X1) )
     => ( ordinal_subset(X1,X0)
        | ordinal_subset(X0,X1) ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X1,X0] :
      ( ( ordinal(X1)
        & ordinal(X0) )
     => ( ordinal_subset(X0,X1)
        | ordinal_subset(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',connectedness_r1_ordinal1) ).

fof(f235,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | ~ subset(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( ( ( subset(X0,X1)
          & subset(X1,X0) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ subset(X0,X1)
        | ~ subset(X1,X0) ) ),
    inference(rectify,[],[f143]) ).

fof(f143,plain,
    ! [X1,X0] :
      ( ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) ) ),
    inference(flattening,[],[f142]) ).

fof(f142,plain,
    ! [X1,X0] :
      ( ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X1,X0] :
      ( ( subset(X1,X0)
        & subset(X0,X1) )
    <=> X0 = X1 ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X1,X0] :
      ( X0 = X1
    <=> ( subset(X0,X1)
        & subset(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).

fof(f892,plain,
    ( in(sK7,sK6)
    | epsilon_transitive(sK6)
    | sK7 = sK6 ),
    inference(subsumption_resolution,[],[f891,f314]) ).

fof(f314,plain,
    ! [X0,X1] :
      ( in(X1,X0)
      | in(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f248]) ).

fof(f248,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ in(X1,X0) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ in(X1,X0) ),
    inference(rectify,[],[f84]) ).

fof(f84,plain,
    ! [X1,X0] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X1,X0] :
      ( in(X1,X0)
     => ~ in(X0,X1) ),
    inference(rectify,[],[f1]) ).

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

fof(f891,plain,
    ( epsilon_transitive(sK6)
    | sK7 = sK6
    | ~ in(sK6,sK7)
    | in(sK7,sK6) ),
    inference(resolution,[],[f855,f322]) ).

fof(f855,plain,
    ( ~ subset(sK7,sK6)
    | ~ in(sK6,sK7)
    | sK7 = sK6 ),
    inference(duplicate_literal_removal,[],[f852]) ).

fof(f852,plain,
    ( ~ subset(sK7,sK6)
    | sK7 = sK6
    | sK7 = sK6
    | ~ in(sK6,sK7) ),
    inference(resolution,[],[f235,f684]) ).

fof(f684,plain,
    ( subset(sK6,sK7)
    | sK7 = sK6
    | ~ in(sK6,sK7) ),
    inference(subsumption_resolution,[],[f683,f291]) ).

fof(f683,plain,
    ( ~ in(sK6,sK7)
    | ordinal(sK7)
    | sK7 = sK6
    | subset(sK6,sK7) ),
    inference(subsumption_resolution,[],[f682,f316]) ).

fof(f682,plain,
    ( ordinal(sK6)
    | sK7 = sK6
    | ~ in(sK6,sK7)
    | subset(sK6,sK7)
    | ordinal(sK7) ),
    inference(resolution,[],[f675,f309]) ).

fof(f675,plain,
    ( ordinal_subset(sK6,sK7)
    | sK7 = sK6
    | ~ in(sK6,sK7) ),
    inference(resolution,[],[f610,f324]) ).

fof(f324,plain,
    ! [X2,X0] :
      ( in(X2,singleton(X0))
      | X0 = X2 ),
    inference(consistent_polarity_flipping,[],[f286]) ).

fof(f286,plain,
    ! [X2,X0] :
      ( ~ in(X2,singleton(X0))
      | X0 = X2 ),
    inference(equality_resolution,[],[f247]) ).

fof(f247,plain,
    ! [X2,X0,X1] :
      ( X0 = X2
      | ~ in(X2,X1)
      | singleton(X0) != X1 ),
    inference(cnf_transformation,[],[f152]) ).

fof(f610,plain,
    ( ~ in(sK6,singleton(sK7))
    | ordinal_subset(sK6,sK7)
    | ~ in(sK6,sK7) ),
    inference(resolution,[],[f335,f297]) ).

fof(f297,plain,
    ( ~ in(sK6,set_union2(sK7,singleton(sK7)))
    | ordinal_subset(sK6,sK7) ),
    inference(consistent_polarity_flipping,[],[f279]) ).

fof(f279,plain,
    ( in(sK6,set_union2(sK7,singleton(sK7)))
    | ordinal_subset(sK6,sK7) ),
    inference(definition_unfolding,[],[f222,f201]) ).

fof(f222,plain,
    ( ordinal_subset(sK6,sK7)
    | in(sK6,succ(sK7)) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f335,plain,
    ! [X3,X0,X1] :
      ( in(X3,set_union2(X1,X0))
      | ~ in(X3,X1)
      | ~ in(X3,X0) ),
    inference(consistent_polarity_flipping,[],[f283]) ).

fof(f283,plain,
    ! [X3,X0,X1] :
      ( in(X3,X1)
      | in(X3,X0)
      | ~ in(X3,set_union2(X1,X0)) ),
    inference(equality_resolution,[],[f198]) ).

fof(f198,plain,
    ! [X2,X3,X0,X1] :
      ( in(X3,X1)
      | in(X3,X0)
      | ~ in(X3,X2)
      | set_union2(X1,X0) != X2 ),
    inference(cnf_transformation,[],[f124]) ).

fof(f400,plain,
    ( in(sK6,singleton(sK7))
    | ~ ordinal_subset(sK6,sK7) ),
    inference(resolution,[],[f330,f346]) ).

fof(f330,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,set_union2(X1,X0))
      | in(X3,X0) ),
    inference(consistent_polarity_flipping,[],[f282]) ).

fof(f282,plain,
    ! [X3,X0,X1] :
      ( in(X3,set_union2(X1,X0))
      | ~ in(X3,X0) ),
    inference(equality_resolution,[],[f199]) ).

fof(f199,plain,
    ! [X2,X3,X0,X1] :
      ( in(X3,X2)
      | ~ in(X3,X0)
      | set_union2(X1,X0) != X2 ),
    inference(cnf_transformation,[],[f124]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM401+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.34  % Computer : n028.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Tue Aug 30 06:37:33 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  ipcrm: permission denied for id (568459264)
% 0.15/0.36  ipcrm: permission denied for id (568492036)
% 0.15/0.37  ipcrm: permission denied for id (568590349)
% 0.15/0.39  ipcrm: permission denied for id (568688665)
% 0.15/0.39  ipcrm: permission denied for id (568721434)
% 0.15/0.39  ipcrm: permission denied for id (568754203)
% 0.20/0.41  ipcrm: permission denied for id (568852521)
% 0.20/0.43  ipcrm: permission denied for id (568918075)
% 0.20/0.45  ipcrm: permission denied for id (569049157)
% 0.20/0.45  ipcrm: permission denied for id (569114698)
% 0.20/0.46  ipcrm: permission denied for id (569213008)
% 0.20/0.47  ipcrm: permission denied for id (569311317)
% 0.20/0.50  ipcrm: permission denied for id (569344107)
% 0.20/0.51  ipcrm: permission denied for id (569409645)
% 0.20/0.51  ipcrm: permission denied for id (569442415)
% 0.20/0.51  ipcrm: permission denied for id (569475184)
% 0.20/0.53  ipcrm: permission denied for id (569671803)
% 1.13/0.70  % (2619)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.13/0.70  % (2634)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 (2998ds/467Mi)
% 1.13/0.70  % (2627)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 (2998ds/99Mi)
% 1.13/0.70  % (2636)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.13/0.70  % (2618)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.13/0.70  % (2626)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 (2998ds/75Mi)
% 1.13/0.71  % (2613)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 (2998ds/37Mi)
% 1.13/0.71  % (2614)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.13/0.71  % (2617)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.13/0.71  % (2635)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.13/0.71  % (2625)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 (2998ds/68Mi)
% 1.13/0.72  % (2619)Instruction limit reached!
% 1.13/0.72  % (2619)------------------------------
% 1.13/0.72  % (2619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.13/0.72  % (2619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.13/0.72  % (2619)Termination reason: Unknown
% 1.13/0.72  % (2619)Termination phase: Preprocessing 1
% 1.13/0.72  
% 1.13/0.72  % (2619)Memory used [KB]: 895
% 1.13/0.72  % (2619)Time elapsed: 0.003 s
% 1.13/0.72  % (2619)Instructions burned: 2 (million)
% 1.13/0.72  % (2619)------------------------------
% 1.13/0.72  % (2619)------------------------------
% 1.13/0.72  % (2618)Instruction limit reached!
% 1.13/0.72  % (2618)------------------------------
% 1.13/0.72  % (2618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.13/0.72  % (2623)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.13/0.72  % (2628)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.13/0.72  % (2630)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 (2998ds/100Mi)
% 1.13/0.72  % (2621)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.13/0.72  % (2639)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.13/0.73  % (2633)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 (2998ds/498Mi)
% 1.13/0.73  % (2611)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 (2998ds/191324Mi)
% 1.13/0.73  % (2615)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.13/0.73  % (2618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.13/0.73  % (2618)Termination reason: Unknown
% 1.13/0.73  % (2618)Termination phase: Saturation
% 1.13/0.73  
% 1.13/0.73  % (2618)Memory used [KB]: 5628
% 1.13/0.73  % (2618)Time elapsed: 0.127 s
% 1.13/0.73  % (2618)Instructions burned: 7 (million)
% 1.13/0.73  % (2618)------------------------------
% 1.13/0.73  % (2618)------------------------------
% 1.13/0.73  % (2620)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 (2998ds/51Mi)
% 1.13/0.73  TRYING [1]
% 1.13/0.73  TRYING [2]
% 1.63/0.73  TRYING [1]
% 1.63/0.73  % (2629)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.63/0.73  TRYING [1]
% 1.63/0.73  TRYING [3]
% 1.63/0.74  % (2632)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.63/0.74  % (2637)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 (2998ds/68Mi)
% 1.63/0.74  TRYING [4]
% 1.63/0.74  % (2612)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.63/0.74  TRYING [2]
% 1.63/0.74  % (2640)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 (2998ds/355Mi)
% 1.63/0.74  TRYING [3]
% 1.63/0.74  % (2616)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 (2998ds/48Mi)
% 1.63/0.74  % (2624)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.63/0.74  TRYING [4]
% 1.63/0.75  % (2631)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 (2998ds/176Mi)
% 1.63/0.75  % (2638)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 (2998ds/177Mi)
% 1.63/0.75  % (2622)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.63/0.75  TRYING [2]
% 1.63/0.75  TRYING [3]
% 1.63/0.76  TRYING [4]
% 1.63/0.76  % (2612)Refutation not found, incomplete strategy% (2612)------------------------------
% 1.63/0.76  % (2612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.76  % (2612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.76  % (2612)Termination reason: Refutation not found, incomplete strategy
% 1.63/0.76  
% 1.63/0.76  % (2612)Memory used [KB]: 5628
% 1.63/0.76  % (2612)Time elapsed: 0.153 s
% 1.63/0.76  % (2612)Instructions burned: 8 (million)
% 1.63/0.76  % (2612)------------------------------
% 1.63/0.76  % (2612)------------------------------
% 1.99/0.77  TRYING [5]
% 1.99/0.77  % (2613)Instruction limit reached!
% 1.99/0.77  % (2613)------------------------------
% 1.99/0.77  % (2613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.77  TRYING [5]
% 1.99/0.78  TRYING [5]
% 1.99/0.78  % (2617)Instruction limit reached!
% 1.99/0.78  % (2617)------------------------------
% 1.99/0.78  % (2617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.78  % (2617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.78  % (2617)Termination reason: Unknown
% 1.99/0.78  % (2617)Termination phase: Finite model building constraint generation
% 1.99/0.78  
% 1.99/0.78  % (2617)Memory used [KB]: 7164
% 1.99/0.78  % (2617)Time elapsed: 0.157 s
% 1.99/0.78  % (2617)Instructions burned: 53 (million)
% 1.99/0.78  % (2617)------------------------------
% 1.99/0.78  % (2617)------------------------------
% 1.99/0.79  % (2628)Instruction limit reached!
% 1.99/0.79  % (2628)------------------------------
% 1.99/0.79  % (2628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.79  % (2613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.79  % (2613)Termination reason: Unknown
% 1.99/0.79  % (2613)Termination phase: Saturation
% 1.99/0.79  
% 1.99/0.79  % (2613)Memory used [KB]: 1279
% 1.99/0.79  % (2613)Time elapsed: 0.147 s
% 1.99/0.79  % (2613)Instructions burned: 37 (million)
% 1.99/0.79  % (2613)------------------------------
% 1.99/0.79  % (2613)------------------------------
% 1.99/0.79  % (2628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.79  % (2628)Termination reason: Unknown
% 1.99/0.79  % (2628)Termination phase: Finite model building constraint generation
% 1.99/0.79  
% 1.99/0.79  % (2628)Memory used [KB]: 7675
% 1.99/0.79  % (2628)Time elapsed: 0.175 s
% 1.99/0.79  % (2628)Instructions burned: 61 (million)
% 1.99/0.79  % (2628)------------------------------
% 1.99/0.79  % (2628)------------------------------
% 1.99/0.80  % (2630)First to succeed.
% 1.99/0.80  % (2630)Refutation found. Thanks to Tanya!
% 1.99/0.80  % SZS status Theorem for theBenchmark
% 1.99/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 1.99/0.80  % (2630)------------------------------
% 1.99/0.80  % (2630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.80  % (2630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.80  % (2630)Termination reason: Refutation
% 1.99/0.80  
% 1.99/0.80  % (2630)Memory used [KB]: 1407
% 1.99/0.80  % (2630)Time elapsed: 0.221 s
% 1.99/0.80  % (2630)Instructions burned: 39 (million)
% 1.99/0.80  % (2630)------------------------------
% 1.99/0.80  % (2630)------------------------------
% 1.99/0.80  % (2445)Success in time 0.444 s
%------------------------------------------------------------------------------