TSTP Solution File: SEU272+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU272+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_sat --cores 0 -t %d %s

% Computer : n018.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 18:32:56 EDT 2022

% Result   : Theorem 3.18s 0.82s
% Output   : Refutation 3.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   97 (  14 unt;   0 def)
%            Number of atoms       :  515 ( 124 equ)
%            Maximal formula atoms :   24 (   5 avg)
%            Number of connectives :  591 ( 173   ~; 206   |; 184   &)
%                                         (  10 <=>;  17  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   2 con; 0-3 aty)
%            Number of variables   :  268 ( 173   !;  95   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1017,plain,
    $false,
    inference(avatar_sat_refutation,[],[f759,f992,f1014]) ).

fof(f1014,plain,
    ( ~ spl18_8
    | ~ spl18_15 ),
    inference(avatar_contradiction_clause,[],[f1013]) ).

fof(f1013,plain,
    ( $false
    | ~ spl18_8
    | ~ spl18_15 ),
    inference(subsumption_resolution,[],[f1012,f467]) ).

fof(f467,plain,
    ~ ordinal(sK8(sK15(sK7,sK6))),
    inference(subsumption_resolution,[],[f462,f124]) ).

fof(f124,plain,
    ~ ordinal(sK7),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f88,plain,
    ordinal(sK7),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ( ordinal(sK7)
    & ! [X2] :
        ( ( ! [X4] :
              ( sK8(X2) != X4
              | ~ ordinal(X4)
              | ~ in(X4,sK6) )
          | ~ in(sK8(X2),succ(sK7))
          | ~ in(sK8(X2),X2) )
        & ( ( sK9(X2) = sK8(X2)
            & ordinal(sK9(X2))
            & in(sK9(X2),sK6)
            & in(sK8(X2),succ(sK7)) )
          | in(sK8(X2),X2) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f42,f45,f44,f43]) ).

fof(f43,plain,
    ( ? [X0,X1] :
        ( ordinal(X1)
        & ! [X2] :
          ? [X3] :
            ( ( ! [X4] :
                  ( X3 != X4
                  | ~ ordinal(X4)
                  | ~ in(X4,X0) )
              | ~ in(X3,succ(X1))
              | ~ in(X3,X2) )
            & ( ( ? [X5] :
                    ( X3 = X5
                    & ordinal(X5)
                    & in(X5,X0) )
                & in(X3,succ(X1)) )
              | in(X3,X2) ) ) )
   => ( ordinal(sK7)
      & ! [X2] :
        ? [X3] :
          ( ( ! [X4] :
                ( X3 != X4
                | ~ ordinal(X4)
                | ~ in(X4,sK6) )
            | ~ in(X3,succ(sK7))
            | ~ in(X3,X2) )
          & ( ( ? [X5] :
                  ( X3 = X5
                  & ordinal(X5)
                  & in(X5,sK6) )
              & in(X3,succ(sK7)) )
            | in(X3,X2) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f44,plain,
    ! [X2] :
      ( ? [X3] :
          ( ( ! [X4] :
                ( X3 != X4
                | ~ ordinal(X4)
                | ~ in(X4,sK6) )
            | ~ in(X3,succ(sK7))
            | ~ in(X3,X2) )
          & ( ( ? [X5] :
                  ( X3 = X5
                  & ordinal(X5)
                  & in(X5,sK6) )
              & in(X3,succ(sK7)) )
            | in(X3,X2) ) )
     => ( ( ! [X4] :
              ( sK8(X2) != X4
              | ~ ordinal(X4)
              | ~ in(X4,sK6) )
          | ~ in(sK8(X2),succ(sK7))
          | ~ in(sK8(X2),X2) )
        & ( ( ? [X5] :
                ( sK8(X2) = X5
                & ordinal(X5)
                & in(X5,sK6) )
            & in(sK8(X2),succ(sK7)) )
          | in(sK8(X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f45,plain,
    ! [X2] :
      ( ? [X5] :
          ( sK8(X2) = X5
          & ordinal(X5)
          & in(X5,sK6) )
     => ( sK9(X2) = sK8(X2)
        & ordinal(sK9(X2))
        & in(sK9(X2),sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ? [X0,X1] :
      ( ordinal(X1)
      & ! [X2] :
        ? [X3] :
          ( ( ! [X4] :
                ( X3 != X4
                | ~ ordinal(X4)
                | ~ in(X4,X0) )
            | ~ in(X3,succ(X1))
            | ~ in(X3,X2) )
          & ( ( ? [X5] :
                  ( X3 = X5
                  & ordinal(X5)
                  & in(X5,X0) )
              & in(X3,succ(X1)) )
            | in(X3,X2) ) ) ),
    inference(rectify,[],[f41]) ).

fof(f41,plain,
    ? [X1,X0] :
      ( ordinal(X0)
      & ! [X2] :
        ? [X3] :
          ( ( ! [X4] :
                ( X3 != X4
                | ~ ordinal(X4)
                | ~ in(X4,X1) )
            | ~ in(X3,succ(X0))
            | ~ in(X3,X2) )
          & ( ( ? [X4] :
                  ( X3 = X4
                  & ordinal(X4)
                  & in(X4,X1) )
              & in(X3,succ(X0)) )
            | in(X3,X2) ) ) ),
    inference(flattening,[],[f40]) ).

fof(f40,plain,
    ? [X1,X0] :
      ( ordinal(X0)
      & ! [X2] :
        ? [X3] :
          ( ( ! [X4] :
                ( X3 != X4
                | ~ ordinal(X4)
                | ~ in(X4,X1) )
            | ~ in(X3,succ(X0))
            | ~ in(X3,X2) )
          & ( ( ? [X4] :
                  ( X3 = X4
                  & ordinal(X4)
                  & in(X4,X1) )
              & in(X3,succ(X0)) )
            | in(X3,X2) ) ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f27,plain,
    ? [X1,X0] :
      ( ordinal(X0)
      & ! [X2] :
        ? [X3] :
          ( in(X3,X2)
        <~> ( ? [X4] :
                ( X3 = X4
                & ordinal(X4)
                & in(X4,X1) )
            & in(X3,succ(X0)) ) ) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,plain,
    ~ ! [X0,X1] :
        ( ordinal(X0)
       => ? [X2] :
          ! [X3] :
            ( in(X3,X2)
          <=> ( ? [X4] :
                  ( X3 = X4
                  & ordinal(X4)
                  & in(X4,X1) )
              & in(X3,succ(X0)) ) ) ),
    inference(rectify,[],[f2]) ).

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

fof(f1,conjecture,
    ! [X1,X0] :
      ( ordinal(X1)
     => ? [X2] :
        ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,succ(X1))
            & ? [X4] :
                ( in(X4,X0)
                & ordinal(X4)
                & X3 = X4 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e8_6__wellord2__1) ).

fof(f462,plain,
    ( ~ ordinal(sK8(sK15(sK7,sK6)))
    | ordinal(sK7) ),
    inference(resolution,[],[f438,f212]) ).

fof(f212,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,sK15(X0,X1))
      | ~ ordinal(X3)
      | ordinal(X0) ),
    inference(backward_subsumption_demodulation,[],[f204,f211]) ).

fof(f211,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,sK15(X0,X1))
      | sK17(X1,X3) = X3
      | ordinal(X0) ),
    inference(subsumption_resolution,[],[f110,f145]) ).

fof(f145,plain,
    ! [X0] : ~ sP1(X0),
    inference(subsumption_resolution,[],[f144,f90]) ).

fof(f90,plain,
    ! [X0] :
      ( sK11(X0) != sK10(X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ( sK13(X0) = sK10(X0)
        & ordinal(sK13(X0))
        & in(sK13(X0),X0)
        & sK12(X0) = sK10(X0)
        & sP0(X0,sK11(X0))
        & sK11(X0) != sK10(X0)
        & sK12(X0) = sK11(X0) )
      | ~ sP1(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f48,f50,f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( ? [X4] :
              ( X1 = X4
              & ordinal(X4)
              & in(X4,X0) )
          & X1 = X3
          & sP0(X0,X2)
          & X1 != X2
          & X2 = X3 )
     => ( ? [X4] :
            ( sK10(X0) = X4
            & ordinal(X4)
            & in(X4,X0) )
        & sK12(X0) = sK10(X0)
        & sP0(X0,sK11(X0))
        & sK11(X0) != sK10(X0)
        & sK12(X0) = sK11(X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ! [X0] :
      ( ? [X4] :
          ( sK10(X0) = X4
          & ordinal(X4)
          & in(X4,X0) )
     => ( sK13(X0) = sK10(X0)
        & ordinal(sK13(X0))
        & in(sK13(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( ? [X4] :
              ( X1 = X4
              & ordinal(X4)
              & in(X4,X0) )
          & X1 = X3
          & sP0(X0,X2)
          & X1 != X2
          & X2 = X3 )
      | ~ sP1(X0) ),
    inference(rectify,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ? [X3,X4,X2] :
          ( ? [X5] :
              ( X3 = X5
              & ordinal(X5)
              & in(X5,X0) )
          & X2 = X3
          & sP0(X0,X4)
          & X3 != X4
          & X2 = X4 )
      | ~ sP1(X0) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0] :
      ( ? [X3,X4,X2] :
          ( ? [X5] :
              ( X3 = X5
              & ordinal(X5)
              & in(X5,X0) )
          & X2 = X3
          & sP0(X0,X4)
          & X3 != X4
          & X2 = X4 )
      | ~ sP1(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f144,plain,
    ! [X0] :
      ( sK11(X0) = sK10(X0)
      | ~ sP1(X0) ),
    inference(backward_subsumption_demodulation,[],[f89,f92]) ).

fof(f92,plain,
    ! [X0] :
      ( ~ sP1(X0)
      | sK12(X0) = sK10(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f89,plain,
    ! [X0] :
      ( ~ sP1(X0)
      | sK12(X0) = sK11(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f110,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,sK15(X0,X1))
      | sP1(X1)
      | ordinal(X0)
      | sK17(X1,X3) = X3 ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f102,plain,
    ! [X3,X0,X1] :
      ( ~ ordinal(X0)
      | sK17(X1,X3) = X3
      | ~ in(X3,sK15(X0,X1))
      | sP1(X1) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | sP1(X1)
      | ! [X3] :
          ( ( ( ordinal(sK17(X1,X3))
              & in(sK17(X1,X3),X1)
              & sK17(X1,X3) = X3
              & in(sK16(X0,X1,X3),succ(X0))
              & sK16(X0,X1,X3) = X3 )
            | ~ in(X3,sK15(X0,X1)) )
          & ( in(X3,sK15(X0,X1))
            | ! [X6] :
                ( ! [X7] :
                    ( ~ ordinal(X7)
                    | ~ in(X7,X1)
                    | X3 != X7 )
                | ~ in(X6,succ(X0))
                | X3 != X6 ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17])],[f57,f60,f59,f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( ( ? [X4] :
                ( ? [X5] :
                    ( ordinal(X5)
                    & in(X5,X1)
                    & X3 = X5 )
                & in(X4,succ(X0))
                & X3 = X4 )
            | ~ in(X3,X2) )
          & ( in(X3,X2)
            | ! [X6] :
                ( ! [X7] :
                    ( ~ ordinal(X7)
                    | ~ in(X7,X1)
                    | X3 != X7 )
                | ~ in(X6,succ(X0))
                | X3 != X6 ) ) )
     => ! [X3] :
          ( ( ? [X4] :
                ( ? [X5] :
                    ( ordinal(X5)
                    & in(X5,X1)
                    & X3 = X5 )
                & in(X4,succ(X0))
                & X3 = X4 )
            | ~ in(X3,sK15(X0,X1)) )
          & ( in(X3,sK15(X0,X1))
            | ! [X6] :
                ( ! [X7] :
                    ( ~ ordinal(X7)
                    | ~ in(X7,X1)
                    | X3 != X7 )
                | ~ in(X6,succ(X0))
                | X3 != X6 ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f59,plain,
    ! [X0,X1,X3] :
      ( ? [X4] :
          ( ? [X5] :
              ( ordinal(X5)
              & in(X5,X1)
              & X3 = X5 )
          & in(X4,succ(X0))
          & X3 = X4 )
     => ( ? [X5] :
            ( ordinal(X5)
            & in(X5,X1)
            & X3 = X5 )
        & in(sK16(X0,X1,X3),succ(X0))
        & sK16(X0,X1,X3) = X3 ) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ! [X1,X3] :
      ( ? [X5] :
          ( ordinal(X5)
          & in(X5,X1)
          & X3 = X5 )
     => ( ordinal(sK17(X1,X3))
        & in(sK17(X1,X3),X1)
        & sK17(X1,X3) = X3 ) ),
    introduced(choice_axiom,[]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | sP1(X1)
      | ? [X2] :
        ! [X3] :
          ( ( ? [X4] :
                ( ? [X5] :
                    ( ordinal(X5)
                    & in(X5,X1)
                    & X3 = X5 )
                & in(X4,succ(X0))
                & X3 = X4 )
            | ~ in(X3,X2) )
          & ( in(X3,X2)
            | ! [X6] :
                ( ! [X7] :
                    ( ~ ordinal(X7)
                    | ~ in(X7,X1)
                    | X3 != X7 )
                | ~ in(X6,succ(X0))
                | X3 != X6 ) ) ) ),
    inference(rectify,[],[f56]) ).

fof(f56,plain,
    ! [X1,X0] :
      ( ~ ordinal(X1)
      | sP1(X0)
      | ? [X7] :
        ! [X8] :
          ( ( ? [X9] :
                ( ? [X10] :
                    ( ordinal(X10)
                    & in(X10,X0)
                    & X8 = X10 )
                & in(X9,succ(X1))
                & X8 = X9 )
            | ~ in(X8,X7) )
          & ( in(X8,X7)
            | ! [X9] :
                ( ! [X10] :
                    ( ~ ordinal(X10)
                    | ~ in(X10,X0)
                    | X8 != X10 )
                | ~ in(X9,succ(X1))
                | X8 != X9 ) ) ) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X1,X0] :
      ( ~ ordinal(X1)
      | sP1(X0)
      | ? [X7] :
        ! [X8] :
          ( ? [X9] :
              ( ? [X10] :
                  ( ordinal(X10)
                  & in(X10,X0)
                  & X8 = X10 )
              & in(X9,succ(X1))
              & X8 = X9 )
        <=> in(X8,X7) ) ),
    inference(definition_folding,[],[f21,f29,f28]) ).

fof(f28,plain,
    ! [X0,X4] :
      ( ? [X6] :
          ( ordinal(X6)
          & in(X6,X0)
          & X4 = X6 )
      | ~ sP0(X0,X4) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f21,plain,
    ! [X1,X0] :
      ( ~ ordinal(X1)
      | ? [X3,X4,X2] :
          ( ? [X5] :
              ( X3 = X5
              & ordinal(X5)
              & in(X5,X0) )
          & X2 = X3
          & ? [X6] :
              ( ordinal(X6)
              & in(X6,X0)
              & X4 = X6 )
          & X3 != X4
          & X2 = X4 )
      | ? [X7] :
        ! [X8] :
          ( ? [X9] :
              ( ? [X10] :
                  ( ordinal(X10)
                  & in(X10,X0)
                  & X8 = X10 )
              & in(X9,succ(X1))
              & X8 = X9 )
        <=> in(X8,X7) ) ),
    inference(flattening,[],[f20]) ).

fof(f20,plain,
    ! [X1,X0] :
      ( ? [X7] :
        ! [X8] :
          ( ? [X9] :
              ( ? [X10] :
                  ( ordinal(X10)
                  & in(X10,X0)
                  & X8 = X10 )
              & in(X9,succ(X1))
              & X8 = X9 )
        <=> in(X8,X7) )
      | ? [X2,X3,X4] :
          ( X3 != X4
          & X2 = X4
          & ? [X5] :
              ( X3 = X5
              & ordinal(X5)
              & in(X5,X0) )
          & X2 = X3
          & ? [X6] :
              ( ordinal(X6)
              & in(X6,X0)
              & X4 = X6 ) )
      | ~ ordinal(X1) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X1,X0] :
      ( ordinal(X1)
     => ( ! [X2,X3,X4] :
            ( ( X2 = X4
              & ? [X5] :
                  ( X3 = X5
                  & ordinal(X5)
                  & in(X5,X0) )
              & X2 = X3
              & ? [X6] :
                  ( ordinal(X6)
                  & in(X6,X0)
                  & X4 = X6 ) )
           => X3 = X4 )
       => ? [X7] :
          ! [X8] :
            ( ? [X9] :
                ( ? [X10] :
                    ( ordinal(X10)
                    & in(X10,X0)
                    & X8 = X10 )
                & in(X9,succ(X1))
                & X8 = X9 )
          <=> in(X8,X7) ) ) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( ordinal(X1)
     => ( ! [X2,X4,X3] :
            ( ( X2 = X3
              & ? [X6] :
                  ( X4 = X6
                  & ordinal(X6)
                  & in(X6,X0) )
              & X2 = X4
              & ? [X5] :
                  ( ordinal(X5)
                  & X3 = X5
                  & in(X5,X0) ) )
           => X3 = X4 )
       => ? [X2] :
          ! [X3] :
            ( in(X3,X2)
          <=> ? [X4] :
                ( X3 = X4
                & ? [X7] :
                    ( ordinal(X7)
                    & in(X7,X0)
                    & X3 = X7 )
                & in(X4,succ(X1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e8_6__wellord2__1) ).

fof(f204,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,sK15(X0,X1))
      | ordinal(X0)
      | ~ ordinal(sK17(X1,X3)) ),
    inference(subsumption_resolution,[],[f119,f145]) ).

fof(f119,plain,
    ! [X3,X0,X1] :
      ( ordinal(X0)
      | ~ in(X3,sK15(X0,X1))
      | sP1(X1)
      | ~ ordinal(sK17(X1,X3)) ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f104,plain,
    ! [X3,X0,X1] :
      ( ordinal(sK17(X1,X3))
      | ~ ordinal(X0)
      | sP1(X1)
      | ~ in(X3,sK15(X0,X1)) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f438,plain,
    in(sK8(sK15(sK7,sK6)),sK15(sK7,sK6)),
    inference(factoring,[],[f413]) ).

fof(f413,plain,
    ! [X8] :
      ( in(sK8(X8),X8)
      | in(sK8(X8),sK15(sK7,sK6)) ),
    inference(duplicate_literal_removal,[],[f408]) ).

fof(f408,plain,
    ! [X8] :
      ( in(sK8(X8),X8)
      | in(sK8(X8),sK15(sK7,sK6))
      | in(sK8(X8),X8) ),
    inference(resolution,[],[f386,f151]) ).

fof(f151,plain,
    ! [X2] :
      ( in(sK8(X2),X2)
      | in(sK8(X2),sK6) ),
    inference(backward_subsumption_demodulation,[],[f84,f86]) ).

fof(f86,plain,
    ! [X2] :
      ( in(sK8(X2),X2)
      | sK9(X2) = sK8(X2) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f84,plain,
    ! [X2] :
      ( in(sK9(X2),sK6)
      | in(sK8(X2),X2) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f386,plain,
    ! [X6,X5] :
      ( ~ in(sK8(X5),X6)
      | in(sK8(X5),X5)
      | in(sK8(X5),sK15(sK7,X6)) ),
    inference(subsumption_resolution,[],[f385,f152]) ).

fof(f152,plain,
    ! [X2] :
      ( ~ ordinal(sK8(X2))
      | in(sK8(X2),X2) ),
    inference(backward_subsumption_demodulation,[],[f141,f86]) ).

fof(f141,plain,
    ! [X2] :
      ( ~ ordinal(sK9(X2))
      | in(sK8(X2),X2) ),
    inference(consistent_polarity_flipping,[],[f85]) ).

fof(f85,plain,
    ! [X2] :
      ( in(sK8(X2),X2)
      | ordinal(sK9(X2)) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f385,plain,
    ! [X6,X5] :
      ( ordinal(sK8(X5))
      | in(sK8(X5),sK15(sK7,X6))
      | ~ in(sK8(X5),X6)
      | in(sK8(X5),X5) ),
    inference(subsumption_resolution,[],[f360,f124]) ).

fof(f360,plain,
    ! [X6,X5] :
      ( ordinal(sK7)
      | in(sK8(X5),X5)
      | ~ in(sK8(X5),X6)
      | ordinal(sK8(X5))
      | in(sK8(X5),sK15(sK7,X6)) ),
    inference(resolution,[],[f357,f83]) ).

fof(f83,plain,
    ! [X2] :
      ( in(sK8(X2),succ(sK7))
      | in(sK8(X2),X2) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f357,plain,
    ! [X0,X1,X7] :
      ( ~ in(X7,succ(X0))
      | ~ in(X7,X1)
      | ordinal(X7)
      | in(X7,sK15(X0,X1))
      | ordinal(X0) ),
    inference(subsumption_resolution,[],[f129,f145]) ).

fof(f129,plain,
    ! [X0,X1,X7] :
      ( ordinal(X0)
      | sP1(X1)
      | ordinal(X7)
      | ~ in(X7,succ(X0))
      | in(X7,sK15(X0,X1))
      | ~ in(X7,X1) ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1,X7] :
      ( sP1(X1)
      | ~ ordinal(X7)
      | ~ in(X7,X1)
      | in(X7,sK15(X0,X1))
      | ~ ordinal(X0)
      | ~ in(X7,succ(X0)) ),
    inference(equality_resolution,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1,X6,X7] :
      ( ~ ordinal(X0)
      | sP1(X1)
      | in(X7,sK15(X0,X1))
      | ~ ordinal(X7)
      | ~ in(X7,X1)
      | ~ in(X6,succ(X0))
      | X6 != X7 ),
    inference(equality_resolution,[],[f99]) ).

fof(f99,plain,
    ! [X3,X0,X1,X6,X7] :
      ( ~ ordinal(X0)
      | sP1(X1)
      | in(X3,sK15(X0,X1))
      | ~ ordinal(X7)
      | ~ in(X7,X1)
      | X3 != X7
      | ~ in(X6,succ(X0))
      | X3 != X6 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f1012,plain,
    ( ordinal(sK8(sK15(sK7,sK6)))
    | ~ spl18_8
    | ~ spl18_15 ),
    inference(subsumption_resolution,[],[f1011,f451]) ).

fof(f451,plain,
    ( in(sK8(sK15(sK7,sK6)),sK6)
    | ~ spl18_8 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f450,plain,
    ( spl18_8
  <=> in(sK8(sK15(sK7,sK6)),sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_8])]) ).

fof(f1011,plain,
    ( ~ in(sK8(sK15(sK7,sK6)),sK6)
    | ordinal(sK8(sK15(sK7,sK6)))
    | ~ spl18_15 ),
    inference(subsumption_resolution,[],[f1004,f438]) ).

fof(f1004,plain,
    ( ~ in(sK8(sK15(sK7,sK6)),sK15(sK7,sK6))
    | ~ in(sK8(sK15(sK7,sK6)),sK6)
    | ordinal(sK8(sK15(sK7,sK6)))
    | ~ spl18_15 ),
    inference(resolution,[],[f705,f121]) ).

fof(f121,plain,
    ! [X2] :
      ( ~ in(sK8(X2),succ(sK7))
      | ordinal(sK8(X2))
      | ~ in(sK8(X2),sK6)
      | ~ in(sK8(X2),X2) ),
    inference(consistent_polarity_flipping,[],[f105]) ).

fof(f105,plain,
    ! [X2] :
      ( ~ in(sK8(X2),sK6)
      | ~ in(sK8(X2),X2)
      | ~ in(sK8(X2),succ(sK7))
      | ~ ordinal(sK8(X2)) ),
    inference(equality_resolution,[],[f87]) ).

fof(f87,plain,
    ! [X2,X4] :
      ( sK8(X2) != X4
      | ~ ordinal(X4)
      | ~ in(X4,sK6)
      | ~ in(sK8(X2),succ(sK7))
      | ~ in(sK8(X2),X2) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f705,plain,
    ( in(sK8(sK15(sK7,sK6)),succ(sK7))
    | ~ spl18_15 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f703,plain,
    ( spl18_15
  <=> in(sK8(sK15(sK7,sK6)),succ(sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_15])]) ).

fof(f992,plain,
    spl18_15,
    inference(avatar_split_clause,[],[f987,f703]) ).

fof(f987,plain,
    in(sK8(sK15(sK7,sK6)),succ(sK7)),
    inference(backward_demodulation,[],[f468,f470]) ).

fof(f470,plain,
    sK8(sK15(sK7,sK6)) = sK16(sK7,sK6,sK8(sK15(sK7,sK6))),
    inference(subsumption_resolution,[],[f460,f124]) ).

fof(f460,plain,
    ( sK8(sK15(sK7,sK6)) = sK16(sK7,sK6,sK8(sK15(sK7,sK6)))
    | ordinal(sK7) ),
    inference(resolution,[],[f438,f242]) ).

fof(f242,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,sK15(X0,X1))
      | sK16(X0,X1,X3) = X3
      | ordinal(X0) ),
    inference(subsumption_resolution,[],[f132,f145]) ).

fof(f132,plain,
    ! [X3,X0,X1] :
      ( ordinal(X0)
      | sK16(X0,X1,X3) = X3
      | sP1(X1)
      | ~ in(X3,sK15(X0,X1)) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f100,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,sK15(X0,X1))
      | sK16(X0,X1,X3) = X3
      | sP1(X1)
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f468,plain,
    in(sK16(sK7,sK6,sK8(sK15(sK7,sK6))),succ(sK7)),
    inference(subsumption_resolution,[],[f459,f124]) ).

fof(f459,plain,
    ( in(sK16(sK7,sK6,sK8(sK15(sK7,sK6))),succ(sK7))
    | ordinal(sK7) ),
    inference(resolution,[],[f438,f314]) ).

fof(f314,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,sK15(X0,X1))
      | ordinal(X0)
      | in(sK16(X0,X1,X3),succ(X0)) ),
    inference(subsumption_resolution,[],[f139,f145]) ).

fof(f139,plain,
    ! [X3,X0,X1] :
      ( sP1(X1)
      | ordinal(X0)
      | in(sK16(X0,X1,X3),succ(X0))
      | ~ in(X3,sK15(X0,X1)) ),
    inference(consistent_polarity_flipping,[],[f101]) ).

fof(f101,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,sK15(X0,X1))
      | in(sK16(X0,X1,X3),succ(X0))
      | sP1(X1)
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f759,plain,
    spl18_8,
    inference(avatar_split_clause,[],[f658,f450]) ).

fof(f658,plain,
    in(sK8(sK15(sK7,sK6)),sK6),
    inference(backward_demodulation,[],[f469,f466]) ).

fof(f466,plain,
    sK17(sK6,sK8(sK15(sK7,sK6))) = sK8(sK15(sK7,sK6)),
    inference(subsumption_resolution,[],[f463,f124]) ).

fof(f463,plain,
    ( ordinal(sK7)
    | sK17(sK6,sK8(sK15(sK7,sK6))) = sK8(sK15(sK7,sK6)) ),
    inference(resolution,[],[f438,f211]) ).

fof(f469,plain,
    in(sK17(sK6,sK8(sK15(sK7,sK6))),sK6),
    inference(subsumption_resolution,[],[f461,f124]) ).

fof(f461,plain,
    ( in(sK17(sK6,sK8(sK15(sK7,sK6))),sK6)
    | ordinal(sK7) ),
    inference(resolution,[],[f438,f227]) ).

fof(f227,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,sK15(X0,X1))
      | ordinal(X0)
      | in(sK17(X1,X3),X1) ),
    inference(subsumption_resolution,[],[f138,f145]) ).

fof(f138,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,sK15(X0,X1))
      | in(sK17(X1,X3),X1)
      | ordinal(X0)
      | sP1(X1) ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f103,plain,
    ! [X3,X0,X1] :
      ( ~ ordinal(X0)
      | in(sK17(X1,X3),X1)
      | sP1(X1)
      | ~ in(X3,sK15(X0,X1)) ),
    inference(cnf_transformation,[],[f61]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : SEU272+1 : TPTP v8.1.0. Released v3.3.0.
% 0.09/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32  % Computer : n018.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Aug 30 15:05:55 EDT 2022
% 0.10/0.33  % CPUTime    : 
% 0.16/0.47  % (23893)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.48  % (23889)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.49  % (23895)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.49  % (23887)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.49  % (23901)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.16/0.49  % (23897)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.49  % (23889)Instruction limit reached!
% 0.16/0.49  % (23889)------------------------------
% 0.16/0.49  % (23889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (23889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (23889)Termination reason: Unknown
% 0.16/0.49  % (23889)Termination phase: Preprocessing 3
% 0.16/0.49  
% 0.16/0.49  % (23889)Memory used [KB]: 895
% 0.16/0.49  % (23889)Time elapsed: 0.004 s
% 0.16/0.49  % (23889)Instructions burned: 2 (million)
% 0.16/0.49  % (23889)------------------------------
% 0.16/0.49  % (23889)------------------------------
% 0.16/0.49  % (23905)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.50  TRYING [1]
% 0.16/0.50  % (23903)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.50  TRYING [2]
% 0.16/0.51  TRYING [3]
% 0.16/0.51  % (23909)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.51  TRYING [4]
% 0.16/0.52  % (23885)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.53  % (23888)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.53  % (23891)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.53  % (23894)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.54  % (23884)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.54  % (23886)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.54  % (23908)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.16/0.54  % (23904)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.54  % (23907)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.54  % (23882)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.54  % (23910)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.16/0.55  % (23882)Refutation not found, incomplete strategy% (23882)------------------------------
% 0.16/0.55  % (23882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55  % (23882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55  % (23882)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.55  
% 0.16/0.55  % (23882)Memory used [KB]: 5500
% 0.16/0.55  % (23882)Time elapsed: 0.161 s
% 0.16/0.55  % (23882)Instructions burned: 4 (million)
% 0.16/0.55  % (23882)------------------------------
% 0.16/0.55  % (23882)------------------------------
% 0.16/0.55  % (23888)Instruction limit reached!
% 0.16/0.55  % (23888)------------------------------
% 0.16/0.55  % (23888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55  % (23896)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.55  % (23888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55  % (23888)Termination reason: Unknown
% 0.16/0.55  % (23888)Termination phase: Saturation
% 0.16/0.55  
% 0.16/0.55  % (23888)Memory used [KB]: 5500
% 0.16/0.55  % (23899)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.55  % (23888)Time elapsed: 0.147 s
% 0.16/0.55  % (23888)Instructions burned: 8 (million)
% 0.16/0.55  % (23888)------------------------------
% 0.16/0.55  % (23888)------------------------------
% 0.16/0.55  % (23900)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.55  % (23902)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.56  % (23892)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.57  % (23887)Instruction limit reached!
% 0.16/0.57  % (23887)------------------------------
% 0.16/0.57  % (23887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.57  % (23887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.57  % (23887)Termination reason: Unknown
% 0.16/0.57  % (23887)Termination phase: Finite model building SAT solving
% 0.16/0.57  
% 0.16/0.57  % (23887)Memory used [KB]: 6524
% 0.16/0.57  % (23887)Time elapsed: 0.144 s
% 0.16/0.57  % (23887)Instructions burned: 52 (million)
% 0.16/0.57  % (23887)------------------------------
% 0.16/0.57  % (23887)------------------------------
% 0.16/0.59  % (23898)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.60  % (23883)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.16/0.60  % (23890)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.60  % (23906)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.61  TRYING [1]
% 0.16/0.61  TRYING [2]
% 0.16/0.61  TRYING [3]
% 2.25/0.63  % (23895)Instruction limit reached!
% 2.25/0.63  % (23895)------------------------------
% 2.25/0.63  % (23895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.63  % (23895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.63  % (23895)Termination reason: Unknown
% 2.25/0.63  % (23895)Termination phase: Saturation
% 2.25/0.63  
% 2.25/0.63  % (23895)Memory used [KB]: 6396
% 2.25/0.63  % (23895)Time elapsed: 0.067 s
% 2.25/0.63  % (23895)Instructions burned: 68 (million)
% 2.25/0.63  % (23895)------------------------------
% 2.25/0.63  % (23895)------------------------------
% 2.25/0.64  % (23881)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 2.25/0.64  TRYING [4]
% 2.25/0.65  % (23886)Instruction limit reached!
% 2.25/0.65  % (23886)------------------------------
% 2.25/0.65  % (23886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.66  TRYING [1]
% 2.58/0.66  TRYING [2]
% 2.58/0.66  TRYING [3]
% 2.58/0.67  % (23891)Instruction limit reached!
% 2.58/0.67  % (23891)------------------------------
% 2.58/0.67  % (23891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.67  % (23891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.67  % (23891)Termination reason: Unknown
% 2.58/0.67  % (23891)Termination phase: Saturation
% 2.58/0.67  
% 2.58/0.67  % (23891)Memory used [KB]: 6268
% 2.58/0.67  % (23891)Time elapsed: 0.285 s
% 2.58/0.67  % (23891)Instructions burned: 50 (million)
% 2.58/0.67  % (23891)------------------------------
% 2.58/0.67  % (23891)------------------------------
% 2.58/0.67  % (23884)Instruction limit reached!
% 2.58/0.67  % (23884)------------------------------
% 2.58/0.67  % (23884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.67  % (23884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.67  % (23884)Termination reason: Unknown
% 2.58/0.67  % (23884)Termination phase: Saturation
% 2.58/0.67  
% 2.58/0.67  % (23884)Memory used [KB]: 6012
% 2.58/0.67  % (23884)Time elapsed: 0.270 s
% 2.58/0.67  % (23884)Instructions burned: 51 (million)
% 2.58/0.67  % (23884)------------------------------
% 2.58/0.67  % (23884)------------------------------
% 2.58/0.68  % (23886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.68  % (23886)Termination reason: Unknown
% 2.58/0.68  % (23886)Termination phase: Saturation
% 2.58/0.68  
% 2.58/0.68  % (23886)Memory used [KB]: 6140
% 2.58/0.68  % (23886)Time elapsed: 0.266 s
% 2.58/0.68  % (23886)Instructions burned: 48 (million)
% 2.58/0.68  % (23886)------------------------------
% 2.58/0.68  % (23886)------------------------------
% 2.58/0.68  % (23896)Instruction limit reached!
% 2.58/0.68  % (23896)------------------------------
% 2.58/0.68  % (23896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.68  % (23893)Instruction limit reached!
% 2.58/0.68  % (23893)------------------------------
% 2.58/0.68  % (23893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.68  % (23913)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.58/0.69  TRYING [4]
% 2.58/0.69  % (23893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.69  % (23893)Termination reason: Unknown
% 2.58/0.69  % (23893)Termination phase: Saturation
% 2.58/0.69  
% 2.58/0.69  % (23893)Memory used [KB]: 7036
% 2.58/0.69  % (23893)Time elapsed: 0.298 s
% 2.58/0.69  % (23893)Instructions burned: 101 (million)
% 2.58/0.69  % (23893)------------------------------
% 2.58/0.69  % (23893)------------------------------
% 2.58/0.70  % (23885)Instruction limit reached!
% 2.58/0.70  % (23885)------------------------------
% 2.58/0.70  % (23885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.70  % (23885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.70  % (23885)Termination reason: Unknown
% 2.58/0.70  % (23885)Termination phase: Saturation
% 2.58/0.70  
% 2.58/0.70  % (23885)Memory used [KB]: 6268
% 2.58/0.70  % (23885)Time elapsed: 0.296 s
% 2.58/0.70  % (23885)Instructions burned: 51 (million)
% 2.58/0.70  % (23885)------------------------------
% 2.58/0.70  % (23885)------------------------------
% 2.58/0.70  % (23897)Instruction limit reached!
% 2.58/0.70  % (23897)------------------------------
% 2.58/0.70  % (23897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.70  % (23897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.70  % (23897)Termination reason: Unknown
% 2.58/0.70  % (23897)Termination phase: Saturation
% 2.58/0.70  
% 2.58/0.70  % (23897)Memory used [KB]: 6652
% 2.58/0.70  % (23897)Time elapsed: 0.294 s
% 2.58/0.70  % (23897)Instructions burned: 100 (million)
% 2.58/0.70  % (23897)------------------------------
% 2.58/0.70  % (23897)------------------------------
% 2.58/0.70  % (23896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.70  % (23896)Termination reason: Unknown
% 2.58/0.70  % (23896)Termination phase: Saturation
% 2.58/0.70  
% 2.58/0.70  % (23896)Memory used [KB]: 1918
% 2.58/0.70  % (23896)Time elapsed: 0.275 s
% 2.58/0.70  % (23896)Instructions burned: 75 (million)
% 2.58/0.70  % (23896)------------------------------
% 2.58/0.70  % (23896)------------------------------
% 2.58/0.70  % (23907)Instruction limit reached!
% 2.58/0.70  % (23907)------------------------------
% 2.58/0.70  % (23907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.70  % (23907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.70  % (23907)Termination reason: Unknown
% 2.58/0.70  % (23907)Termination phase: Saturation
% 2.58/0.70  
% 2.58/0.70  % (23907)Memory used [KB]: 6524
% 2.58/0.70  % (23907)Time elapsed: 0.051 s
% 2.58/0.70  % (23907)Instructions burned: 69 (million)
% 2.58/0.70  % (23907)------------------------------
% 2.58/0.70  % (23907)------------------------------
% 2.97/0.72  % (23898)Instruction limit reached!
% 2.97/0.72  % (23898)------------------------------
% 2.97/0.72  % (23898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.72  % (23898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.72  % (23898)Termination reason: Unknown
% 2.97/0.72  % (23898)Termination phase: Finite model building SAT solving
% 2.97/0.72  
% 2.97/0.72  % (23898)Memory used [KB]: 6652
% 2.97/0.72  % (23898)Time elapsed: 0.251 s
% 2.97/0.72  % (23898)Instructions burned: 60 (million)
% 2.97/0.72  % (23898)------------------------------
% 2.97/0.72  % (23898)------------------------------
% 2.97/0.73  % (23915)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.97/0.74  % (23883)Instruction limit reached!
% 2.97/0.74  % (23883)------------------------------
% 2.97/0.74  % (23883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.74  % (23883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.74  % (23883)Termination reason: Unknown
% 2.97/0.74  % (23883)Termination phase: Saturation
% 2.97/0.74  
% 2.97/0.74  % (23883)Memory used [KB]: 1407
% 2.97/0.74  % (23883)Time elapsed: 0.312 s
% 2.97/0.74  % (23883)Instructions burned: 38 (million)
% 2.97/0.74  % (23883)------------------------------
% 2.97/0.74  % (23883)------------------------------
% 3.18/0.75  % (23890)Instruction limit reached!
% 3.18/0.75  % (23890)------------------------------
% 3.18/0.75  % (23890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.75  % (23890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.75  % (23890)Termination reason: Unknown
% 3.18/0.75  % (23890)Termination phase: Saturation
% 3.18/0.75  
% 3.18/0.75  % (23890)Memory used [KB]: 1663
% 3.18/0.75  % (23890)Time elapsed: 0.334 s
% 3.18/0.75  % (23890)Instructions burned: 52 (million)
% 3.18/0.75  % (23890)------------------------------
% 3.18/0.75  % (23890)------------------------------
% 3.18/0.77  % (23894)Instruction limit reached!
% 3.18/0.77  % (23894)------------------------------
% 3.18/0.77  % (23894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.77  % (23894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.77  % (23894)Termination reason: Unknown
% 3.18/0.77  % (23894)Termination phase: Saturation
% 3.18/0.77  
% 3.18/0.77  % (23894)Memory used [KB]: 6652
% 3.18/0.77  % (23894)Time elapsed: 0.386 s
% 3.18/0.77  % (23894)Instructions burned: 99 (million)
% 3.18/0.77  % (23894)------------------------------
% 3.18/0.77  % (23894)------------------------------
% 3.18/0.78  % (23916)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.18/0.79  % (23901)Instruction limit reached!
% 3.18/0.79  % (23901)------------------------------
% 3.18/0.79  % (23901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.79  % (23901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.79  % (23901)Termination reason: Unknown
% 3.18/0.79  % (23901)Termination phase: Saturation
% 3.18/0.79  
% 3.18/0.79  % (23901)Memory used [KB]: 8059
% 3.18/0.79  % (23901)Time elapsed: 0.409 s
% 3.18/0.79  % (23901)Instructions burned: 176 (million)
% 3.18/0.79  % (23901)------------------------------
% 3.18/0.79  % (23901)------------------------------
% 3.18/0.79  % (23914)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.18/0.81  % (23915)First to succeed.
% 3.18/0.82  % (23915)Refutation found. Thanks to Tanya!
% 3.18/0.82  % SZS status Theorem for theBenchmark
% 3.18/0.82  % SZS output start Proof for theBenchmark
% See solution above
% 3.18/0.82  % (23915)------------------------------
% 3.18/0.82  % (23915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.82  % (23915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.82  % (23915)Termination reason: Refutation
% 3.18/0.82  
% 3.18/0.82  % (23915)Memory used [KB]: 5884
% 3.18/0.82  % (23915)Time elapsed: 0.204 s
% 3.18/0.82  % (23915)Instructions burned: 41 (million)
% 3.18/0.82  % (23915)------------------------------
% 3.18/0.82  % (23915)------------------------------
% 3.18/0.82  % (23880)Success in time 0.488 s
%------------------------------------------------------------------------------