TSTP Solution File: SEU281+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU281+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 : n024.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 18:28:19 EDT 2022

% Result   : Theorem 1.68s 0.56s
% Output   : Refutation 1.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   80 (   6 unt;   0 def)
%            Number of atoms       :  454 ( 187 equ)
%            Maximal formula atoms :   24 (   5 avg)
%            Number of connectives :  544 ( 170   ~; 174   |; 177   &)
%                                         (  10 <=>;  12  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   15 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   2 con; 0-3 aty)
%            Number of variables   :  332 ( 198   !; 134   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f260,plain,
    $false,
    inference(avatar_sat_refutation,[],[f247,f248,f259]) ).

fof(f259,plain,
    ~ spl20_4,
    inference(avatar_contradiction_clause,[],[f256]) ).

fof(f256,plain,
    ( $false
    | ~ spl20_4 ),
    inference(resolution,[],[f246,f231]) ).

fof(f231,plain,
    in(sK16(sK9(sK15,sK14)),sK9(sK15,sK14)),
    inference(factoring,[],[f224]) ).

fof(f224,plain,
    ! [X0] :
      ( in(sK16(X0),sK9(sK15,sK14))
      | in(sK16(X0),X0) ),
    inference(subsumption_resolution,[],[f223,f73]) ).

fof(f73,plain,
    ! [X2] :
      ( in(sK18(X2),sK14)
      | in(sK16(X2),X2) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X2] :
      ( ( ~ in(sK16(X2),X2)
        | ~ in(sK16(X2),cartesian_product2(sK14,sK15))
        | ! [X4,X5] :
            ( singleton(X5) != X4
            | ~ in(X5,sK14)
            | ordered_pair(X5,X4) != sK16(X2) ) )
      & ( in(sK16(X2),X2)
        | ( in(sK16(X2),cartesian_product2(sK14,sK15))
          & sK17(X2) = singleton(sK18(X2))
          & in(sK18(X2),sK14)
          & ordered_pair(sK18(X2),sK17(X2)) = sK16(X2) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18])],[f47,f50,f49,f48]) ).

fof(f48,plain,
    ( ? [X0,X1] :
      ! [X2] :
      ? [X3] :
        ( ( ~ in(X3,X2)
          | ~ in(X3,cartesian_product2(X0,X1))
          | ! [X4,X5] :
              ( singleton(X5) != X4
              | ~ in(X5,X0)
              | ordered_pair(X5,X4) != X3 ) )
        & ( in(X3,X2)
          | ( in(X3,cartesian_product2(X0,X1))
            & ? [X6,X7] :
                ( singleton(X7) = X6
                & in(X7,X0)
                & ordered_pair(X7,X6) = X3 ) ) ) )
   => ! [X2] :
      ? [X3] :
        ( ( ~ in(X3,X2)
          | ~ in(X3,cartesian_product2(sK14,sK15))
          | ! [X5,X4] :
              ( singleton(X5) != X4
              | ~ in(X5,sK14)
              | ordered_pair(X5,X4) != X3 ) )
        & ( in(X3,X2)
          | ( in(X3,cartesian_product2(sK14,sK15))
            & ? [X7,X6] :
                ( singleton(X7) = X6
                & in(X7,sK14)
                & ordered_pair(X7,X6) = X3 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f49,plain,
    ! [X2] :
      ( ? [X3] :
          ( ( ~ in(X3,X2)
            | ~ in(X3,cartesian_product2(sK14,sK15))
            | ! [X5,X4] :
                ( singleton(X5) != X4
                | ~ in(X5,sK14)
                | ordered_pair(X5,X4) != X3 ) )
          & ( in(X3,X2)
            | ( in(X3,cartesian_product2(sK14,sK15))
              & ? [X7,X6] :
                  ( singleton(X7) = X6
                  & in(X7,sK14)
                  & ordered_pair(X7,X6) = X3 ) ) ) )
     => ( ( ~ in(sK16(X2),X2)
          | ~ in(sK16(X2),cartesian_product2(sK14,sK15))
          | ! [X5,X4] :
              ( singleton(X5) != X4
              | ~ in(X5,sK14)
              | ordered_pair(X5,X4) != sK16(X2) ) )
        & ( in(sK16(X2),X2)
          | ( in(sK16(X2),cartesian_product2(sK14,sK15))
            & ? [X7,X6] :
                ( singleton(X7) = X6
                & in(X7,sK14)
                & ordered_pair(X7,X6) = sK16(X2) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ! [X2] :
      ( ? [X7,X6] :
          ( singleton(X7) = X6
          & in(X7,sK14)
          & ordered_pair(X7,X6) = sK16(X2) )
     => ( sK17(X2) = singleton(sK18(X2))
        & in(sK18(X2),sK14)
        & ordered_pair(sK18(X2),sK17(X2)) = sK16(X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f47,plain,
    ? [X0,X1] :
    ! [X2] :
    ? [X3] :
      ( ( ~ in(X3,X2)
        | ~ in(X3,cartesian_product2(X0,X1))
        | ! [X4,X5] :
            ( singleton(X5) != X4
            | ~ in(X5,X0)
            | ordered_pair(X5,X4) != X3 ) )
      & ( in(X3,X2)
        | ( in(X3,cartesian_product2(X0,X1))
          & ? [X6,X7] :
              ( singleton(X7) = X6
              & in(X7,X0)
              & ordered_pair(X7,X6) = X3 ) ) ) ),
    inference(rectify,[],[f46]) ).

fof(f46,plain,
    ? [X0,X1] :
    ! [X2] :
    ? [X3] :
      ( ( ~ in(X3,X2)
        | ~ in(X3,cartesian_product2(X0,X1))
        | ! [X4,X5] :
            ( singleton(X5) != X4
            | ~ in(X5,X0)
            | ordered_pair(X5,X4) != X3 ) )
      & ( in(X3,X2)
        | ( in(X3,cartesian_product2(X0,X1))
          & ? [X4,X5] :
              ( singleton(X5) = X4
              & in(X5,X0)
              & ordered_pair(X5,X4) = X3 ) ) ) ),
    inference(flattening,[],[f45]) ).

fof(f45,plain,
    ? [X0,X1] :
    ! [X2] :
    ? [X3] :
      ( ( ~ in(X3,X2)
        | ~ in(X3,cartesian_product2(X0,X1))
        | ! [X4,X5] :
            ( singleton(X5) != X4
            | ~ in(X5,X0)
            | ordered_pair(X5,X4) != X3 ) )
      & ( in(X3,X2)
        | ( in(X3,cartesian_product2(X0,X1))
          & ? [X4,X5] :
              ( singleton(X5) = X4
              & in(X5,X0)
              & ordered_pair(X5,X4) = X3 ) ) ) ),
    inference(nnf_transformation,[],[f22]) ).

fof(f22,plain,
    ? [X0,X1] :
    ! [X2] :
    ? [X3] :
      ( ( in(X3,cartesian_product2(X0,X1))
        & ? [X4,X5] :
            ( singleton(X5) = X4
            & in(X5,X0)
            & ordered_pair(X5,X4) = X3 ) )
    <~> in(X3,X2) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ~ ! [X0,X1] :
      ? [X2] :
      ! [X3] :
        ( ( in(X3,cartesian_product2(X0,X1))
          & ? [X4,X5] :
              ( singleton(X5) = X4
              & in(X5,X0)
              & ordered_pair(X5,X4) = X3 ) )
      <=> in(X3,X2) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0,X1] :
      ? [X2] :
      ! [X3] :
        ( in(X3,X2)
      <=> ( in(X3,cartesian_product2(X0,X1))
          & ? [X5,X4] :
              ( ordered_pair(X4,X5) = X3
              & in(X4,X0)
              & singleton(X4) = X5 ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( in(X3,X2)
    <=> ( in(X3,cartesian_product2(X0,X1))
        & ? [X5,X4] :
            ( ordered_pair(X4,X5) = X3
            & in(X4,X0)
            & singleton(X4) = X5 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e16_22__wellord2__1) ).

fof(f223,plain,
    ! [X0] :
      ( in(sK16(X0),X0)
      | in(sK16(X0),sK9(sK15,sK14))
      | ~ in(sK18(X0),sK14) ),
    inference(duplicate_literal_removal,[],[f218]) ).

fof(f218,plain,
    ! [X0] :
      ( ~ in(sK18(X0),sK14)
      | in(sK16(X0),sK9(sK15,sK14))
      | in(sK16(X0),X0)
      | in(sK16(X0),X0) ),
    inference(resolution,[],[f217,f75]) ).

fof(f75,plain,
    ! [X2] :
      ( in(sK16(X2),cartesian_product2(sK14,sK15))
      | in(sK16(X2),X2) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f217,plain,
    ! [X2,X0,X1] :
      ( ~ in(sK16(X0),cartesian_product2(X1,X2))
      | in(sK16(X0),X0)
      | in(sK16(X0),sK9(X2,X1))
      | ~ in(sK18(X0),X1) ),
    inference(duplicate_literal_removal,[],[f216]) ).

fof(f216,plain,
    ! [X2,X0,X1] :
      ( in(sK16(X0),X0)
      | in(sK16(X0),X0)
      | in(sK16(X0),sK9(X2,X1))
      | ~ in(sK18(X0),X1)
      | ~ in(sK16(X0),cartesian_product2(X1,X2)) ),
    inference(superposition,[],[f213,f72]) ).

fof(f72,plain,
    ! [X2] :
      ( ordered_pair(sK18(X2),sK17(X2)) = sK16(X2)
      | in(sK16(X2),X2) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f213,plain,
    ! [X2,X0,X1] :
      ( ~ in(ordered_pair(sK18(X0),sK17(X0)),cartesian_product2(X1,X2))
      | ~ in(sK18(X0),X1)
      | in(sK16(X0),X0)
      | in(ordered_pair(sK18(X0),sK17(X0)),sK9(X2,X1)) ),
    inference(superposition,[],[f212,f74]) ).

fof(f74,plain,
    ! [X2] :
      ( sK17(X2) = singleton(sK18(X2))
      | in(sK16(X2),X2) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f212,plain,
    ! [X0,X1,X9] :
      ( ~ in(ordered_pair(X9,singleton(X9)),cartesian_product2(X1,X0))
      | in(ordered_pair(X9,singleton(X9)),sK9(X0,X1))
      | ~ in(X9,X1) ),
    inference(subsumption_resolution,[],[f82,f100]) ).

fof(f100,plain,
    ! [X1] : ~ sP1(X1),
    inference(subsumption_resolution,[],[f98,f61]) ).

fof(f61,plain,
    ! [X0] :
      ( sK3(X0) != sK4(X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ( sK3(X0) != sK4(X0)
        & sK2(X0) = sK4(X0)
        & sK2(X0) = sK3(X0)
        & sK4(X0) = ordered_pair(sK6(X0),sK5(X0))
        & in(sK6(X0),X0)
        & sK5(X0) = singleton(sK6(X0))
        & sP0(sK3(X0),X0) )
      | ~ sP1(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6])],[f29,f31,f30]) ).

fof(f30,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X2 != X3
          & X1 = X3
          & X1 = X2
          & ? [X4,X5] :
              ( ordered_pair(X5,X4) = X3
              & in(X5,X0)
              & singleton(X5) = X4 )
          & sP0(X2,X0) )
     => ( sK3(X0) != sK4(X0)
        & sK2(X0) = sK4(X0)
        & sK2(X0) = sK3(X0)
        & ? [X5,X4] :
            ( ordered_pair(X5,X4) = sK4(X0)
            & in(X5,X0)
            & singleton(X5) = X4 )
        & sP0(sK3(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f31,plain,
    ! [X0] :
      ( ? [X5,X4] :
          ( ordered_pair(X5,X4) = sK4(X0)
          & in(X5,X0)
          & singleton(X5) = X4 )
     => ( sK4(X0) = ordered_pair(sK6(X0),sK5(X0))
        & in(sK6(X0),X0)
        & sK5(X0) = singleton(sK6(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X2 != X3
          & X1 = X3
          & X1 = X2
          & ? [X4,X5] :
              ( ordered_pair(X5,X4) = X3
              & in(X5,X0)
              & singleton(X5) = X4 )
          & sP0(X2,X0) )
      | ~ sP1(X0) ),
    inference(rectify,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( ? [X2,X3,X4] :
          ( X3 != X4
          & X2 = X4
          & X2 = X3
          & ? [X8,X7] :
              ( ordered_pair(X7,X8) = X4
              & in(X7,X0)
              & singleton(X7) = X8 )
          & sP0(X3,X0) )
      | ~ sP1(X0) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0] :
      ( ? [X2,X3,X4] :
          ( X3 != X4
          & X2 = X4
          & X2 = X3
          & ? [X8,X7] :
              ( ordered_pair(X7,X8) = X4
              & in(X7,X0)
              & singleton(X7) = X8 )
          & sP0(X3,X0) )
      | ~ sP1(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f98,plain,
    ! [X1] :
      ( ~ sP1(X1)
      | sK3(X1) = sK4(X1) ),
    inference(duplicate_literal_removal,[],[f96]) ).

fof(f96,plain,
    ! [X1] :
      ( sK3(X1) = sK4(X1)
      | ~ sP1(X1)
      | ~ sP1(X1) ),
    inference(superposition,[],[f60,f59]) ).

fof(f59,plain,
    ! [X0] :
      ( sK2(X0) = sK3(X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f60,plain,
    ! [X0] :
      ( sK2(X0) = sK4(X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f82,plain,
    ! [X0,X1,X9] :
      ( sP1(X1)
      | ~ in(ordered_pair(X9,singleton(X9)),cartesian_product2(X1,X0))
      | ~ in(X9,X1)
      | in(ordered_pair(X9,singleton(X9)),sK9(X0,X1)) ),
    inference(equality_resolution,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1,X9,X7] :
      ( sP1(X1)
      | in(ordered_pair(X9,singleton(X9)),sK9(X0,X1))
      | ~ in(X9,X1)
      | ~ in(X7,cartesian_product2(X1,X0))
      | ordered_pair(X9,singleton(X9)) != X7 ),
    inference(equality_resolution,[],[f80]) ).

fof(f80,plain,
    ! [X3,X0,X1,X9,X7] :
      ( sP1(X1)
      | in(X3,sK9(X0,X1))
      | ordered_pair(X9,singleton(X9)) != X3
      | ~ in(X9,X1)
      | ~ in(X7,cartesian_product2(X1,X0))
      | X3 != X7 ),
    inference(equality_resolution,[],[f65]) ).

fof(f65,plain,
    ! [X3,X0,X1,X8,X9,X7] :
      ( sP1(X1)
      | in(X3,sK9(X0,X1))
      | singleton(X9) != X8
      | ordered_pair(X9,X8) != X3
      | ~ in(X9,X1)
      | ~ in(X7,cartesian_product2(X1,X0))
      | X3 != X7 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( sP1(X1)
      | ! [X3] :
          ( ( ( sK11(X1,X3) = singleton(sK12(X1,X3))
              & ordered_pair(sK12(X1,X3),sK11(X1,X3)) = X3
              & in(sK12(X1,X3),X1)
              & in(sK10(X0,X1,X3),cartesian_product2(X1,X0))
              & sK10(X0,X1,X3) = X3 )
            | ~ in(X3,sK9(X0,X1)) )
          & ( in(X3,sK9(X0,X1))
            | ! [X7] :
                ( ! [X8,X9] :
                    ( singleton(X9) != X8
                    | ordered_pair(X9,X8) != X3
                    | ~ in(X9,X1) )
                | ~ in(X7,cartesian_product2(X1,X0))
                | X3 != X7 ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f38,f41,f40,f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( ( ? [X4] :
                ( ? [X5,X6] :
                    ( singleton(X6) = X5
                    & ordered_pair(X6,X5) = X3
                    & in(X6,X1) )
                & in(X4,cartesian_product2(X1,X0))
                & X3 = X4 )
            | ~ in(X3,X2) )
          & ( in(X3,X2)
            | ! [X7] :
                ( ! [X8,X9] :
                    ( singleton(X9) != X8
                    | ordered_pair(X9,X8) != X3
                    | ~ in(X9,X1) )
                | ~ in(X7,cartesian_product2(X1,X0))
                | X3 != X7 ) ) )
     => ! [X3] :
          ( ( ? [X4] :
                ( ? [X5,X6] :
                    ( singleton(X6) = X5
                    & ordered_pair(X6,X5) = X3
                    & in(X6,X1) )
                & in(X4,cartesian_product2(X1,X0))
                & X3 = X4 )
            | ~ in(X3,sK9(X0,X1)) )
          & ( in(X3,sK9(X0,X1))
            | ! [X7] :
                ( ! [X8,X9] :
                    ( singleton(X9) != X8
                    | ordered_pair(X9,X8) != X3
                    | ~ in(X9,X1) )
                | ~ in(X7,cartesian_product2(X1,X0))
                | X3 != X7 ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ! [X0,X1,X3] :
      ( ? [X4] :
          ( ? [X5,X6] :
              ( singleton(X6) = X5
              & ordered_pair(X6,X5) = X3
              & in(X6,X1) )
          & in(X4,cartesian_product2(X1,X0))
          & X3 = X4 )
     => ( ? [X5,X6] :
            ( singleton(X6) = X5
            & ordered_pair(X6,X5) = X3
            & in(X6,X1) )
        & in(sK10(X0,X1,X3),cartesian_product2(X1,X0))
        & sK10(X0,X1,X3) = X3 ) ),
    introduced(choice_axiom,[]) ).

fof(f41,plain,
    ! [X1,X3] :
      ( ? [X5,X6] :
          ( singleton(X6) = X5
          & ordered_pair(X6,X5) = X3
          & in(X6,X1) )
     => ( sK11(X1,X3) = singleton(sK12(X1,X3))
        & ordered_pair(sK12(X1,X3),sK11(X1,X3)) = X3
        & in(sK12(X1,X3),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( sP1(X1)
      | ? [X2] :
        ! [X3] :
          ( ( ? [X4] :
                ( ? [X5,X6] :
                    ( singleton(X6) = X5
                    & ordered_pair(X6,X5) = X3
                    & in(X6,X1) )
                & in(X4,cartesian_product2(X1,X0))
                & X3 = X4 )
            | ~ in(X3,X2) )
          & ( in(X3,X2)
            | ! [X7] :
                ( ! [X8,X9] :
                    ( singleton(X9) != X8
                    | ordered_pair(X9,X8) != X3
                    | ~ in(X9,X1) )
                | ~ in(X7,cartesian_product2(X1,X0))
                | X3 != X7 ) ) ) ),
    inference(rectify,[],[f37]) ).

fof(f37,plain,
    ! [X1,X0] :
      ( sP1(X0)
      | ? [X9] :
        ! [X10] :
          ( ( ? [X11] :
                ( ? [X13,X12] :
                    ( singleton(X12) = X13
                    & ordered_pair(X12,X13) = X10
                    & in(X12,X0) )
                & in(X11,cartesian_product2(X0,X1))
                & X10 = X11 )
            | ~ in(X10,X9) )
          & ( in(X10,X9)
            | ! [X11] :
                ( ! [X13,X12] :
                    ( singleton(X12) != X13
                    | ordered_pair(X12,X13) != X10
                    | ~ in(X12,X0) )
                | ~ in(X11,cartesian_product2(X0,X1))
                | X10 != X11 ) ) ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X1,X0] :
      ( sP1(X0)
      | ? [X9] :
        ! [X10] :
          ( ? [X11] :
              ( ? [X13,X12] :
                  ( singleton(X12) = X13
                  & ordered_pair(X12,X13) = X10
                  & in(X12,X0) )
              & in(X11,cartesian_product2(X0,X1))
              & X10 = X11 )
        <=> in(X10,X9) ) ),
    inference(definition_folding,[],[f24,f26,f25]) ).

fof(f25,plain,
    ! [X3,X0] :
      ( ? [X6,X5] :
          ( ordered_pair(X5,X6) = X3
          & in(X5,X0)
          & singleton(X5) = X6 )
      | ~ sP0(X3,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f24,plain,
    ! [X1,X0] :
      ( ? [X2,X3,X4] :
          ( X3 != X4
          & X2 = X4
          & X2 = X3
          & ? [X8,X7] :
              ( ordered_pair(X7,X8) = X4
              & in(X7,X0)
              & singleton(X7) = X8 )
          & ? [X6,X5] :
              ( ordered_pair(X5,X6) = X3
              & in(X5,X0)
              & singleton(X5) = X6 ) )
      | ? [X9] :
        ! [X10] :
          ( ? [X11] :
              ( ? [X13,X12] :
                  ( singleton(X12) = X13
                  & ordered_pair(X12,X13) = X10
                  & in(X12,X0) )
              & in(X11,cartesian_product2(X0,X1))
              & X10 = X11 )
        <=> in(X10,X9) ) ),
    inference(flattening,[],[f23]) ).

fof(f23,plain,
    ! [X1,X0] :
      ( ? [X9] :
        ! [X10] :
          ( ? [X11] :
              ( ? [X13,X12] :
                  ( singleton(X12) = X13
                  & ordered_pair(X12,X13) = X10
                  & in(X12,X0) )
              & in(X11,cartesian_product2(X0,X1))
              & X10 = X11 )
        <=> in(X10,X9) )
      | ? [X2,X4,X3] :
          ( X3 != X4
          & X2 = X4
          & X2 = X3
          & ? [X6,X5] :
              ( ordered_pair(X5,X6) = X3
              & in(X5,X0)
              & singleton(X5) = X6 )
          & ? [X8,X7] :
              ( ordered_pair(X7,X8) = X4
              & in(X7,X0)
              & singleton(X7) = X8 ) ) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X1,X0] :
      ( ! [X2,X4,X3] :
          ( ( X2 = X4
            & X2 = X3
            & ? [X6,X5] :
                ( ordered_pair(X5,X6) = X3
                & in(X5,X0)
                & singleton(X5) = X6 )
            & ? [X8,X7] :
                ( ordered_pair(X7,X8) = X4
                & in(X7,X0)
                & singleton(X7) = X8 ) )
         => X3 = X4 )
     => ? [X9] :
        ! [X10] :
          ( ? [X11] :
              ( ? [X13,X12] :
                  ( singleton(X12) = X13
                  & ordered_pair(X12,X13) = X10
                  & in(X12,X0) )
              & in(X11,cartesian_product2(X0,X1))
              & X10 = X11 )
        <=> in(X10,X9) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( ! [X2,X4,X3] :
          ( ( X2 = X4
            & ? [X7,X8] :
                ( in(X7,X0)
                & singleton(X7) = X8
                & ordered_pair(X7,X8) = X4 )
            & X2 = X3
            & ? [X5,X6] :
                ( singleton(X5) = X6
                & ordered_pair(X5,X6) = X3
                & in(X5,X0) ) )
         => X3 = X4 )
     => ? [X2] :
        ! [X3] :
          ( ? [X4] :
              ( X3 = X4
              & in(X4,cartesian_product2(X0,X1))
              & ? [X9,X10] :
                  ( ordered_pair(X9,X10) = X3
                  & in(X9,X0)
                  & singleton(X9) = X10 ) )
        <=> in(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e16_22__wellord2__2) ).

fof(f246,plain,
    ( ! [X0] : ~ in(sK16(sK9(sK15,sK14)),sK9(X0,sK14))
    | ~ spl20_4 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f245,plain,
    ( spl20_4
  <=> ! [X0] : ~ in(sK16(sK9(sK15,sK14)),sK9(X0,sK14)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).

fof(f248,plain,
    spl20_3,
    inference(avatar_split_clause,[],[f235,f241]) ).

fof(f241,plain,
    ( spl20_3
  <=> in(sK16(sK9(sK15,sK14)),cartesian_product2(sK14,sK15)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).

fof(f235,plain,
    in(sK16(sK9(sK15,sK14)),cartesian_product2(sK14,sK15)),
    inference(resolution,[],[f231,f152]) ).

fof(f152,plain,
    ! [X2,X0,X1] :
      ( ~ in(X2,sK9(X0,X1))
      | in(X2,cartesian_product2(X1,X0)) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X2,X0,X1] :
      ( ~ in(X2,sK9(X0,X1))
      | ~ in(X2,sK9(X0,X1))
      | in(X2,cartesian_product2(X1,X0)) ),
    inference(superposition,[],[f149,f144]) ).

fof(f144,plain,
    ! [X3,X0,X1] :
      ( sK10(X0,X1,X3) = X3
      | ~ in(X3,sK9(X0,X1)) ),
    inference(subsumption_resolution,[],[f66,f100]) ).

fof(f66,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,sK9(X0,X1))
      | sK10(X0,X1,X3) = X3
      | sP1(X1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f149,plain,
    ! [X3,X0,X1] :
      ( in(sK10(X0,X1,X3),cartesian_product2(X1,X0))
      | ~ in(X3,sK9(X0,X1)) ),
    inference(subsumption_resolution,[],[f67,f100]) ).

fof(f67,plain,
    ! [X3,X0,X1] :
      ( in(sK10(X0,X1,X3),cartesian_product2(X1,X0))
      | sP1(X1)
      | ~ in(X3,sK9(X0,X1)) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f247,plain,
    ( ~ spl20_3
    | spl20_4 ),
    inference(avatar_split_clause,[],[f239,f245,f241]) ).

fof(f239,plain,
    ! [X0] :
      ( ~ in(sK16(sK9(sK15,sK14)),sK9(X0,sK14))
      | ~ in(sK16(sK9(sK15,sK14)),cartesian_product2(sK14,sK15)) ),
    inference(subsumption_resolution,[],[f238,f124]) ).

fof(f124,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,sK9(X0,X1))
      | in(sK12(X1,X3),X1) ),
    inference(subsumption_resolution,[],[f68,f100]) ).

fof(f68,plain,
    ! [X3,X0,X1] :
      ( in(sK12(X1,X3),X1)
      | ~ in(X3,sK9(X0,X1))
      | sP1(X1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f238,plain,
    ! [X0] :
      ( ~ in(sK16(sK9(sK15,sK14)),cartesian_product2(sK14,sK15))
      | ~ in(sK16(sK9(sK15,sK14)),sK9(X0,sK14))
      | ~ in(sK12(sK14,sK16(sK9(sK15,sK14))),sK14) ),
    inference(subsumption_resolution,[],[f233,f231]) ).

fof(f233,plain,
    ! [X0] :
      ( ~ in(sK16(sK9(sK15,sK14)),cartesian_product2(sK14,sK15))
      | ~ in(sK16(sK9(sK15,sK14)),sK9(sK15,sK14))
      | ~ in(sK16(sK9(sK15,sK14)),sK9(X0,sK14))
      | ~ in(sK12(sK14,sK16(sK9(sK15,sK14))),sK14) ),
    inference(resolution,[],[f231,f188]) ).

fof(f188,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(sK16(X0),sK9(X3,X2))
      | ~ in(sK12(X2,sK16(X0)),sK14)
      | ~ in(sK16(X0),X0)
      | ~ in(sK16(X0),cartesian_product2(sK14,sK15))
      | ~ in(sK16(X0),sK9(X1,X2)) ),
    inference(equality_resolution,[],[f186]) ).

fof(f186,plain,
    ! [X2,X3,X0,X1,X4] :
      ( sK16(X2) != X1
      | ~ in(sK16(X2),cartesian_product2(sK14,sK15))
      | ~ in(X1,sK9(X3,X0))
      | ~ in(sK12(X0,X1),sK14)
      | ~ in(sK16(X2),X2)
      | ~ in(X1,sK9(X4,X0)) ),
    inference(superposition,[],[f176,f185]) ).

fof(f185,plain,
    ! [X3,X0,X1] :
      ( ordered_pair(sK12(X1,X3),sK11(X1,X3)) = X3
      | ~ in(X3,sK9(X0,X1)) ),
    inference(subsumption_resolution,[],[f69,f100]) ).

fof(f69,plain,
    ! [X3,X0,X1] :
      ( sP1(X1)
      | ordered_pair(sK12(X1,X3),sK11(X1,X3)) = X3
      | ~ in(X3,sK9(X0,X1)) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f176,plain,
    ! [X2,X3,X0,X1] :
      ( ordered_pair(sK12(X0,X1),sK11(X0,X1)) != sK16(X2)
      | ~ in(sK16(X2),cartesian_product2(sK14,sK15))
      | ~ in(sK12(X0,X1),sK14)
      | ~ in(sK16(X2),X2)
      | ~ in(X1,sK9(X3,X0)) ),
    inference(superposition,[],[f83,f173]) ).

fof(f173,plain,
    ! [X3,X0,X1] :
      ( sK11(X1,X3) = singleton(sK12(X1,X3))
      | ~ in(X3,sK9(X0,X1)) ),
    inference(subsumption_resolution,[],[f70,f100]) ).

fof(f70,plain,
    ! [X3,X0,X1] :
      ( sP1(X1)
      | sK11(X1,X3) = singleton(sK12(X1,X3))
      | ~ in(X3,sK9(X0,X1)) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f83,plain,
    ! [X2,X5] :
      ( ordered_pair(X5,singleton(X5)) != sK16(X2)
      | ~ in(X5,sK14)
      | ~ in(sK16(X2),cartesian_product2(sK14,sK15))
      | ~ in(sK16(X2),X2) ),
    inference(equality_resolution,[],[f76]) ).

fof(f76,plain,
    ! [X2,X4,X5] :
      ( ~ in(sK16(X2),X2)
      | ~ in(sK16(X2),cartesian_product2(sK14,sK15))
      | singleton(X5) != X4
      | ~ in(X5,sK14)
      | ordered_pair(X5,X4) != sK16(X2) ),
    inference(cnf_transformation,[],[f51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU281+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 15:05:49 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.49  % (13827)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)
% 0.21/0.49  % (13834)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)
% 0.21/0.49  % (13826)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.50  % (13816)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)
% 0.21/0.50  % (13826)Instruction limit reached!
% 0.21/0.50  % (13826)------------------------------
% 0.21/0.50  % (13826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (13826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (13826)Termination reason: Unknown
% 0.21/0.50  % (13826)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (13826)Memory used [KB]: 1407
% 0.21/0.50  % (13826)Time elapsed: 0.003 s
% 0.21/0.50  % (13826)Instructions burned: 3 (million)
% 0.21/0.50  % (13826)------------------------------
% 0.21/0.50  % (13826)------------------------------
% 0.21/0.50  % (13818)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  % (13819)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)
% 0.21/0.51  % (13827)Instruction limit reached!
% 0.21/0.51  % (13827)------------------------------
% 0.21/0.51  % (13827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (13832)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)
% 0.21/0.52  % (13824)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)
% 0.21/0.52  % (13827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (13827)Termination reason: Unknown
% 0.21/0.52  % (13827)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (13827)Memory used [KB]: 6012
% 0.21/0.52  % (13827)Time elapsed: 0.115 s
% 0.21/0.52  % (13827)Instructions burned: 7 (million)
% 0.21/0.52  % (13827)------------------------------
% 0.21/0.52  % (13827)------------------------------
% 0.21/0.52  % (13835)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)
% 0.21/0.52  % (13816)Instruction limit reached!
% 0.21/0.52  % (13816)------------------------------
% 0.21/0.52  % (13816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (13816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (13816)Termination reason: Unknown
% 0.21/0.52  % (13816)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (13816)Memory used [KB]: 6140
% 0.21/0.52  % (13816)Time elapsed: 0.132 s
% 0.21/0.52  % (13816)Instructions burned: 13 (million)
% 0.21/0.52  % (13816)------------------------------
% 0.21/0.52  % (13816)------------------------------
% 0.21/0.52  % (13840)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)
% 0.21/0.52  % (13838)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)
% 0.21/0.53  % (13839)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)
% 0.21/0.53  % (13817)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)
% 0.21/0.53  % (13814)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)
% 0.21/0.53  % (13840)Instruction limit reached!
% 0.21/0.53  % (13840)------------------------------
% 0.21/0.53  % (13840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (13840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (13840)Termination reason: Unknown
% 0.21/0.53  % (13840)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (13840)Memory used [KB]: 6012
% 0.21/0.53  % (13840)Time elapsed: 0.135 s
% 0.21/0.53  % (13840)Instructions burned: 8 (million)
% 0.21/0.53  % (13813)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)
% 0.21/0.53  % (13840)------------------------------
% 0.21/0.53  % (13840)------------------------------
% 0.21/0.53  % (13814)Instruction limit reached!
% 0.21/0.53  % (13814)------------------------------
% 0.21/0.53  % (13814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (13814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (13814)Termination reason: Unknown
% 0.21/0.53  % (13814)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (13814)Memory used [KB]: 1407
% 0.21/0.53  % (13814)Time elapsed: 0.003 s
% 0.21/0.53  % (13814)Instructions burned: 3 (million)
% 0.21/0.53  % (13814)------------------------------
% 0.21/0.53  % (13814)------------------------------
% 0.21/0.53  % (13815)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)
% 0.21/0.53  % (13815)Refutation not found, incomplete strategy% (13815)------------------------------
% 0.21/0.53  % (13815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (13815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (13815)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (13815)Memory used [KB]: 6012
% 0.21/0.53  % (13815)Time elapsed: 0.132 s
% 0.21/0.53  % (13815)Instructions burned: 3 (million)
% 0.21/0.53  % (13815)------------------------------
% 0.21/0.53  % (13815)------------------------------
% 0.21/0.53  % (13825)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.49/0.53  % (13825)Refutation not found, incomplete strategy% (13825)------------------------------
% 1.49/0.53  % (13825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.53  % (13825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.53  % (13825)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.53  
% 1.49/0.53  % (13825)Memory used [KB]: 6012
% 1.49/0.53  % (13825)Time elapsed: 0.133 s
% 1.49/0.53  % (13825)Instructions burned: 3 (million)
% 1.49/0.53  % (13825)------------------------------
% 1.49/0.53  % (13825)------------------------------
% 1.49/0.53  % (13830)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.49/0.53  % (13830)Instruction limit reached!
% 1.49/0.53  % (13830)------------------------------
% 1.49/0.53  % (13830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.53  % (13830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.53  % (13830)Termination reason: Unknown
% 1.49/0.53  % (13830)Termination phase: Preprocessing 3
% 1.49/0.53  
% 1.49/0.53  % (13830)Memory used [KB]: 1407
% 1.49/0.53  % (13830)Time elapsed: 0.002 s
% 1.49/0.53  % (13830)Instructions burned: 2 (million)
% 1.49/0.53  % (13830)------------------------------
% 1.49/0.53  % (13830)------------------------------
% 1.49/0.54  % (13822)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.49/0.54  % (13831)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)
% 1.49/0.54  % (13829)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.49/0.54  % (13841)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)
% 1.49/0.54  % (13831)Refutation not found, incomplete strategy% (13831)------------------------------
% 1.49/0.54  % (13831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.54  % (13831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.54  % (13831)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.54  
% 1.49/0.54  % (13831)Memory used [KB]: 6012
% 1.49/0.54  % (13831)Time elapsed: 0.138 s
% 1.49/0.54  % (13831)Instructions burned: 3 (million)
% 1.49/0.54  % (13831)------------------------------
% 1.49/0.54  % (13831)------------------------------
% 1.49/0.54  % (13818)First to succeed.
% 1.49/0.54  % (13812)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.49/0.54  % (13824)Instruction limit reached!
% 1.49/0.54  % (13824)------------------------------
% 1.49/0.54  % (13824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.54  % (13824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.54  % (13824)Termination reason: Unknown
% 1.49/0.54  % (13824)Termination phase: Saturation
% 1.49/0.54  
% 1.49/0.54  % (13824)Memory used [KB]: 1663
% 1.49/0.54  % (13824)Time elapsed: 0.149 s
% 1.49/0.54  % (13824)Instructions burned: 18 (million)
% 1.49/0.54  % (13824)------------------------------
% 1.49/0.54  % (13824)------------------------------
% 1.49/0.54  % (13823)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)
% 1.49/0.54  % (13821)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)
% 1.49/0.54  % (13838)Refutation not found, incomplete strategy% (13838)------------------------------
% 1.49/0.54  % (13838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.54  % (13838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.54  % (13838)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.54  
% 1.49/0.54  % (13838)Memory used [KB]: 6140
% 1.49/0.54  % (13838)Time elapsed: 0.148 s
% 1.49/0.54  % (13838)Instructions burned: 5 (million)
% 1.49/0.54  % (13838)------------------------------
% 1.49/0.54  % (13838)------------------------------
% 1.49/0.54  % (13833)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)
% 1.49/0.54  % (13823)Refutation not found, incomplete strategy% (13823)------------------------------
% 1.49/0.54  % (13823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.54  % (13823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.54  % (13823)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.54  
% 1.49/0.54  % (13823)Memory used [KB]: 6012
% 1.49/0.54  % (13823)Time elapsed: 0.150 s
% 1.49/0.54  % (13823)Instructions burned: 3 (million)
% 1.49/0.54  % (13823)------------------------------
% 1.49/0.54  % (13823)------------------------------
% 1.49/0.54  % (13821)Refutation not found, incomplete strategy% (13821)------------------------------
% 1.49/0.54  % (13821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.54  % (13821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.54  % (13821)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.54  
% 1.49/0.54  % (13821)Memory used [KB]: 6012
% 1.49/0.54  % (13821)Time elapsed: 0.148 s
% 1.49/0.54  % (13821)Instructions burned: 3 (million)
% 1.49/0.54  % (13821)------------------------------
% 1.49/0.54  % (13821)------------------------------
% 1.49/0.54  % (13837)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)
% 1.49/0.55  % (13817)Refutation not found, incomplete strategy% (13817)------------------------------
% 1.49/0.55  % (13817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55  % (13817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55  % (13817)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.55  
% 1.49/0.55  % (13817)Memory used [KB]: 1535
% 1.49/0.55  % (13817)Time elapsed: 0.126 s
% 1.49/0.55  % (13817)Instructions burned: 4 (million)
% 1.49/0.55  % (13817)------------------------------
% 1.49/0.55  % (13817)------------------------------
% 1.49/0.55  % (13836)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)
% 1.68/0.55  % (13813)Instruction limit reached!
% 1.68/0.55  % (13813)------------------------------
% 1.68/0.55  % (13813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.55  % (13813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.55  % (13813)Termination reason: Unknown
% 1.68/0.55  % (13813)Termination phase: Saturation
% 1.68/0.55  
% 1.68/0.55  % (13813)Memory used [KB]: 6140
% 1.68/0.55  % (13813)Time elapsed: 0.138 s
% 1.68/0.55  % (13813)Instructions burned: 13 (million)
% 1.68/0.55  % (13813)------------------------------
% 1.68/0.55  % (13813)------------------------------
% 1.68/0.55  % (13829)Instruction limit reached!
% 1.68/0.55  % (13829)------------------------------
% 1.68/0.55  % (13829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.55  % (13829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.55  % (13829)Termination reason: Unknown
% 1.68/0.55  % (13829)Termination phase: Finite model building preprocessing
% 1.68/0.55  
% 1.68/0.55  % (13829)Memory used [KB]: 1407
% 1.68/0.55  % (13829)Time elapsed: 0.003 s
% 1.68/0.55  % (13829)Instructions burned: 4 (million)
% 1.68/0.55  % (13829)------------------------------
% 1.68/0.55  % (13829)------------------------------
% 1.68/0.55  % (13820)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)
% 1.68/0.56  % (13819)Instruction limit reached!
% 1.68/0.56  % (13819)------------------------------
% 1.68/0.56  % (13819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.56  % (13822)Instruction limit reached!
% 1.68/0.56  % (13822)------------------------------
% 1.68/0.56  % (13822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.56  % (13822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.56  % (13822)Termination reason: Unknown
% 1.68/0.56  % (13822)Termination phase: Saturation
% 1.68/0.56  
% 1.68/0.56  % (13822)Memory used [KB]: 6140
% 1.68/0.56  % (13822)Time elapsed: 0.145 s
% 1.68/0.56  % (13822)Instructions burned: 13 (million)
% 1.68/0.56  % (13822)------------------------------
% 1.68/0.56  % (13822)------------------------------
% 1.68/0.56  % (13828)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)
% 1.68/0.56  % (13819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.56  % (13819)Termination reason: Unknown
% 1.68/0.56  % (13819)Termination phase: Saturation
% 1.68/0.56  
% 1.68/0.56  % (13819)Memory used [KB]: 6268
% 1.68/0.56  % (13819)Time elapsed: 0.147 s
% 1.68/0.56  % (13819)Instructions burned: 39 (million)
% 1.68/0.56  % (13819)------------------------------
% 1.68/0.56  % (13819)------------------------------
% 1.68/0.56  % (13828)Refutation not found, incomplete strategy% (13828)------------------------------
% 1.68/0.56  % (13828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.56  % (13828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.56  % (13828)Termination reason: Refutation not found, incomplete strategy
% 1.68/0.56  
% 1.68/0.56  % (13828)Memory used [KB]: 6140
% 1.68/0.56  % (13828)Time elapsed: 0.166 s
% 1.68/0.56  % (13828)Instructions burned: 5 (million)
% 1.68/0.56  % (13828)------------------------------
% 1.68/0.56  % (13828)------------------------------
% 1.68/0.56  % (13818)Refutation found. Thanks to Tanya!
% 1.68/0.56  % SZS status Theorem for theBenchmark
% 1.68/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.68/0.56  % (13818)------------------------------
% 1.68/0.56  % (13818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.56  % (13818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.56  % (13818)Termination reason: Refutation
% 1.68/0.56  
% 1.68/0.56  % (13818)Memory used [KB]: 6396
% 1.68/0.56  % (13818)Time elapsed: 0.092 s
% 1.68/0.56  % (13818)Instructions burned: 35 (million)
% 1.68/0.56  % (13818)------------------------------
% 1.68/0.56  % (13818)------------------------------
% 1.68/0.56  % (13811)Success in time 0.205 s
%------------------------------------------------------------------------------