TSTP Solution File: NUM460+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM460+2 : TPTP v8.1.0. Released v4.0.0.
% 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 : n027.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 17:59:45 EDT 2022

% Result   : Theorem 1.56s 0.61s
% Output   : Refutation 1.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  123 (  12 unt;   0 def)
%            Number of atoms       :  456 ( 127 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  583 ( 250   ~; 232   |;  78   &)
%                                         (   7 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :  143 ( 120   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f901,plain,
    $false,
    inference(avatar_sat_refutation,[],[f353,f358,f392,f397,f897]) ).

fof(f897,plain,
    ( ~ spl3_11
    | ~ spl3_14 ),
    inference(avatar_contradiction_clause,[],[f896]) ).

fof(f896,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_14 ),
    inference(subsumption_resolution,[],[f891,f67]) ).

fof(f67,plain,
    aNaturalNumber0(sK0),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( ~ sdtlseqdt0(xm,xl)
    & xl = sdtpldt0(xn,sK0)
    & aNaturalNumber0(sK0)
    & ! [X1] :
        ( xl != sdtpldt0(xm,X1)
        | ~ aNaturalNumber0(X1) )
    & sdtlseqdt0(xn,xl)
    & sdtlseqdt0(xm,xn)
    & aNaturalNumber0(sK1)
    & xn = sdtpldt0(xm,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f46,f48,f47]) ).

fof(f47,plain,
    ( ? [X0] :
        ( xl = sdtpldt0(xn,X0)
        & aNaturalNumber0(X0) )
   => ( xl = sdtpldt0(xn,sK0)
      & aNaturalNumber0(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ( ? [X2] :
        ( aNaturalNumber0(X2)
        & xn = sdtpldt0(xm,X2) )
   => ( aNaturalNumber0(sK1)
      & xn = sdtpldt0(xm,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f46,plain,
    ( ~ sdtlseqdt0(xm,xl)
    & ? [X0] :
        ( xl = sdtpldt0(xn,X0)
        & aNaturalNumber0(X0) )
    & ! [X1] :
        ( xl != sdtpldt0(xm,X1)
        | ~ aNaturalNumber0(X1) )
    & sdtlseqdt0(xn,xl)
    & sdtlseqdt0(xm,xn)
    & ? [X2] :
        ( aNaturalNumber0(X2)
        & xn = sdtpldt0(xm,X2) ) ),
    inference(rectify,[],[f44]) ).

fof(f44,plain,
    ( ~ sdtlseqdt0(xm,xl)
    & ? [X1] :
        ( xl = sdtpldt0(xn,X1)
        & aNaturalNumber0(X1) )
    & ! [X2] :
        ( xl != sdtpldt0(xm,X2)
        | ~ aNaturalNumber0(X2) )
    & sdtlseqdt0(xn,xl)
    & sdtlseqdt0(xm,xn)
    & ? [X0] :
        ( aNaturalNumber0(X0)
        & xn = sdtpldt0(xm,X0) ) ),
    inference(flattening,[],[f43]) ).

fof(f43,plain,
    ( ! [X2] :
        ( xl != sdtpldt0(xm,X2)
        | ~ aNaturalNumber0(X2) )
    & ~ sdtlseqdt0(xm,xl)
    & sdtlseqdt0(xm,xn)
    & sdtlseqdt0(xn,xl)
    & ? [X0] :
        ( aNaturalNumber0(X0)
        & xn = sdtpldt0(xm,X0) )
    & ? [X1] :
        ( xl = sdtpldt0(xn,X1)
        & aNaturalNumber0(X1) ) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,plain,
    ~ ( ( sdtlseqdt0(xm,xn)
        & sdtlseqdt0(xn,xl)
        & ? [X0] :
            ( aNaturalNumber0(X0)
            & xn = sdtpldt0(xm,X0) )
        & ? [X1] :
            ( xl = sdtpldt0(xn,X1)
            & aNaturalNumber0(X1) ) )
     => ( ? [X2] :
            ( xl = sdtpldt0(xm,X2)
            & aNaturalNumber0(X2) )
        | sdtlseqdt0(xm,xl) ) ),
    inference(rectify,[],[f24]) ).

fof(f24,negated_conjecture,
    ~ ( ( sdtlseqdt0(xn,xl)
        & ? [X0] :
            ( aNaturalNumber0(X0)
            & xn = sdtpldt0(xm,X0) )
        & ? [X0] :
            ( xl = sdtpldt0(xn,X0)
            & aNaturalNumber0(X0) )
        & sdtlseqdt0(xm,xn) )
     => ( ? [X0] :
            ( xl = sdtpldt0(xm,X0)
            & aNaturalNumber0(X0) )
        | sdtlseqdt0(xm,xl) ) ),
    inference(negated_conjecture,[],[f23]) ).

fof(f23,conjecture,
    ( ( sdtlseqdt0(xn,xl)
      & ? [X0] :
          ( aNaturalNumber0(X0)
          & xn = sdtpldt0(xm,X0) )
      & ? [X0] :
          ( xl = sdtpldt0(xn,X0)
          & aNaturalNumber0(X0) )
      & sdtlseqdt0(xm,xn) )
   => ( ? [X0] :
          ( xl = sdtpldt0(xm,X0)
          & aNaturalNumber0(X0) )
      | sdtlseqdt0(xm,xl) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f891,plain,
    ( ~ aNaturalNumber0(sK0)
    | ~ spl3_11
    | ~ spl3_14 ),
    inference(trivial_inequality_removal,[],[f889]) ).

fof(f889,plain,
    ( ~ aNaturalNumber0(sK0)
    | xl != xl
    | ~ spl3_11
    | ~ spl3_14 ),
    inference(superposition,[],[f697,f365]) ).

fof(f365,plain,
    ( xl = sdtpldt0(sK0,xn)
    | ~ spl3_11 ),
    inference(subsumption_resolution,[],[f364,f67]) ).

fof(f364,plain,
    ( ~ aNaturalNumber0(sK0)
    | xl = sdtpldt0(sK0,xn)
    | ~ spl3_11 ),
    inference(subsumption_resolution,[],[f363,f58]) ).

fof(f58,plain,
    aNaturalNumber0(xl),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,axiom,
    ( aNaturalNumber0(xm)
    & aNaturalNumber0(xl)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__773) ).

fof(f363,plain,
    ( ~ aNaturalNumber0(xl)
    | xl = sdtpldt0(sK0,xn)
    | ~ aNaturalNumber0(sK0)
    | ~ spl3_11 ),
    inference(subsumption_resolution,[],[f361,f136]) ).

fof(f136,plain,
    sdtlseqdt0(sK0,xl),
    inference(subsumption_resolution,[],[f135,f67]) ).

fof(f135,plain,
    ( sdtlseqdt0(sK0,xl)
    | ~ aNaturalNumber0(sK0) ),
    inference(subsumption_resolution,[],[f127,f57]) ).

fof(f57,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f22]) ).

fof(f127,plain,
    ( sdtlseqdt0(sK0,xl)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(sK0) ),
    inference(superposition,[],[f122,f68]) ).

fof(f68,plain,
    xl = sdtpldt0(xn,sK0),
    inference(cnf_transformation,[],[f49]) ).

fof(f122,plain,
    ! [X2,X3] :
      ( sdtlseqdt0(X2,sdtpldt0(X3,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X3) ),
    inference(duplicate_literal_removal,[],[f120]) ).

fof(f120,plain,
    ! [X2,X3] :
      ( sdtlseqdt0(X2,sdtpldt0(X3,X2))
      | ~ aNaturalNumber0(X3)
      | ~ aNaturalNumber0(X3)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X2) ),
    inference(superposition,[],[f115,f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X0)
      | sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).

fof(f115,plain,
    ! [X2,X1] :
      ( sdtlseqdt0(X1,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1) ),
    inference(subsumption_resolution,[],[f78,f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f37]) ).

fof(f37,plain,
    ! [X1,X0] :
      ( aNaturalNumber0(sdtpldt0(X1,X0))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ! [X1,X0] :
      ( aNaturalNumber0(sdtpldt0(X1,X0))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X1,X0] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => aNaturalNumber0(sdtpldt0(X1,X0)) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X1,X0] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).

fof(f78,plain,
    ! [X2,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(sdtpldt0(X1,X2))
      | sdtlseqdt0(X1,sdtpldt0(X1,X2)) ),
    inference(equality_resolution,[],[f76]) ).

fof(f76,plain,
    ! [X2,X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | sdtlseqdt0(X1,X0)
      | ~ aNaturalNumber0(X2)
      | sdtpldt0(X1,X2) != X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ( ( sdtlseqdt0(X1,X0)
          | ! [X2] :
              ( ~ aNaturalNumber0(X2)
              | sdtpldt0(X1,X2) != X0 ) )
        & ( ( aNaturalNumber0(sK2(X0,X1))
            & sdtpldt0(X1,sK2(X0,X1)) = X0 )
          | ~ sdtlseqdt0(X1,X0) ) )
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f53,f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( aNaturalNumber0(X3)
          & sdtpldt0(X1,X3) = X0 )
     => ( aNaturalNumber0(sK2(X0,X1))
        & sdtpldt0(X1,sK2(X0,X1)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ( ( sdtlseqdt0(X1,X0)
          | ! [X2] :
              ( ~ aNaturalNumber0(X2)
              | sdtpldt0(X1,X2) != X0 ) )
        & ( ? [X3] :
              ( aNaturalNumber0(X3)
              & sdtpldt0(X1,X3) = X0 )
          | ~ sdtlseqdt0(X1,X0) ) )
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f52]) ).

fof(f52,plain,
    ! [X1,X0] :
      ( ~ aNaturalNumber0(X0)
      | ( ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( ~ aNaturalNumber0(X2)
              | sdtpldt0(X0,X2) != X1 ) )
        & ( ? [X2] :
              ( aNaturalNumber0(X2)
              & sdtpldt0(X0,X2) = X1 )
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aNaturalNumber0(X1) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X1,X0] :
      ( ~ aNaturalNumber0(X0)
      | ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( aNaturalNumber0(X2)
            & sdtpldt0(X0,X2) = X1 ) )
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f34]) ).

fof(f34,plain,
    ! [X1,X0] :
      ( ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( aNaturalNumber0(X2)
            & sdtpldt0(X0,X2) = X1 ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X1,X0] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( aNaturalNumber0(X2)
            & sdtpldt0(X0,X2) = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).

fof(f361,plain,
    ( ~ sdtlseqdt0(sK0,xl)
    | xl = sdtpldt0(sK0,xn)
    | ~ aNaturalNumber0(sK0)
    | ~ aNaturalNumber0(xl)
    | ~ spl3_11 ),
    inference(superposition,[],[f74,f348]) ).

fof(f348,plain,
    ( xn = sK2(xl,sK0)
    | ~ spl3_11 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f346,plain,
    ( spl3_11
  <=> xn = sK2(xl,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( sdtpldt0(X1,sK2(X0,X1)) = X0
      | ~ sdtlseqdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f697,plain,
    ( ! [X8] :
        ( xl != sdtpldt0(X8,xn)
        | ~ aNaturalNumber0(X8) )
    | ~ spl3_14 ),
    inference(subsumption_resolution,[],[f675,f63]) ).

fof(f63,plain,
    aNaturalNumber0(sK1),
    inference(cnf_transformation,[],[f49]) ).

fof(f675,plain,
    ( ! [X8] :
        ( ~ aNaturalNumber0(X8)
        | xl != sdtpldt0(X8,xn)
        | ~ aNaturalNumber0(sK1) )
    | ~ spl3_14 ),
    inference(superposition,[],[f496,f404]) ).

fof(f404,plain,
    ( xn = sdtpldt0(sK1,xm)
    | ~ spl3_14 ),
    inference(subsumption_resolution,[],[f403,f57]) ).

fof(f403,plain,
    ( xn = sdtpldt0(sK1,xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl3_14 ),
    inference(subsumption_resolution,[],[f402,f134]) ).

fof(f134,plain,
    sdtlseqdt0(sK1,xn),
    inference(subsumption_resolution,[],[f133,f63]) ).

fof(f133,plain,
    ( sdtlseqdt0(sK1,xn)
    | ~ aNaturalNumber0(sK1) ),
    inference(subsumption_resolution,[],[f126,f59]) ).

fof(f59,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f22]) ).

fof(f126,plain,
    ( sdtlseqdt0(sK1,xn)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sK1) ),
    inference(superposition,[],[f122,f62]) ).

fof(f62,plain,
    xn = sdtpldt0(xm,sK1),
    inference(cnf_transformation,[],[f49]) ).

fof(f402,plain,
    ( ~ sdtlseqdt0(sK1,xn)
    | xn = sdtpldt0(sK1,xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl3_14 ),
    inference(subsumption_resolution,[],[f400,f63]) ).

fof(f400,plain,
    ( ~ aNaturalNumber0(sK1)
    | ~ aNaturalNumber0(xn)
    | xn = sdtpldt0(sK1,xm)
    | ~ sdtlseqdt0(sK1,xn)
    | ~ spl3_14 ),
    inference(superposition,[],[f74,f391]) ).

fof(f391,plain,
    ( xm = sK2(xn,sK1)
    | ~ spl3_14 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f389,plain,
    ( spl3_14
  <=> xm = sK2(xn,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).

fof(f496,plain,
    ! [X48,X47] :
      ( xl != sdtpldt0(X47,sdtpldt0(X48,xm))
      | ~ aNaturalNumber0(X47)
      | ~ aNaturalNumber0(X48) ),
    inference(subsumption_resolution,[],[f495,f61]) ).

fof(f495,plain,
    ! [X48,X47] :
      ( ~ aNaturalNumber0(sdtpldt0(X47,X48))
      | ~ aNaturalNumber0(X47)
      | ~ aNaturalNumber0(X48)
      | xl != sdtpldt0(X47,sdtpldt0(X48,xm)) ),
    inference(subsumption_resolution,[],[f468,f59]) ).

fof(f468,plain,
    ! [X48,X47] :
      ( xl != sdtpldt0(X47,sdtpldt0(X48,xm))
      | ~ aNaturalNumber0(X47)
      | ~ aNaturalNumber0(sdtpldt0(X47,X48))
      | ~ aNaturalNumber0(xm)
      | ~ aNaturalNumber0(X48) ),
    inference(superposition,[],[f91,f73]) ).

fof(f73,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(sdtpldt0(X0,X2),X1) = sdtpldt0(X0,sdtpldt0(X2,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | sdtpldt0(sdtpldt0(X0,X2),X1) = sdtpldt0(X0,sdtpldt0(X2,X1))
      | ~ aNaturalNumber0(X2) ),
    inference(rectify,[],[f31]) ).

fof(f31,plain,
    ! [X2,X1,X0] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2)
      | sdtpldt0(sdtpldt0(X2,X0),X1) = sdtpldt0(X2,sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f30]) ).

fof(f30,plain,
    ! [X1,X0,X2] :
      ( sdtpldt0(sdtpldt0(X2,X0),X1) = sdtpldt0(X2,sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X1,X0,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtpldt0(sdtpldt0(X2,X0),X1) = sdtpldt0(X2,sdtpldt0(X0,X1)) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X1,X2,X0] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X2)
        & aNaturalNumber0(X1) )
     => sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).

fof(f91,plain,
    ! [X0] :
      ( xl != sdtpldt0(X0,xm)
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f88,f59]) ).

fof(f88,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | xl != sdtpldt0(X0,xm)
      | ~ aNaturalNumber0(xm) ),
    inference(duplicate_literal_removal,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(xm)
      | ~ aNaturalNumber0(X0)
      | xl != sdtpldt0(X0,xm)
      | ~ aNaturalNumber0(X0) ),
    inference(superposition,[],[f66,f60]) ).

fof(f66,plain,
    ! [X1] :
      ( xl != sdtpldt0(xm,X1)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f397,plain,
    spl3_13,
    inference(avatar_contradiction_clause,[],[f396]) ).

fof(f396,plain,
    ( $false
    | spl3_13 ),
    inference(subsumption_resolution,[],[f395,f57]) ).

fof(f395,plain,
    ( ~ aNaturalNumber0(xn)
    | spl3_13 ),
    inference(subsumption_resolution,[],[f394,f134]) ).

fof(f394,plain,
    ( ~ sdtlseqdt0(sK1,xn)
    | ~ aNaturalNumber0(xn)
    | spl3_13 ),
    inference(subsumption_resolution,[],[f393,f63]) ).

fof(f393,plain,
    ( ~ aNaturalNumber0(sK1)
    | ~ aNaturalNumber0(xn)
    | ~ sdtlseqdt0(sK1,xn)
    | spl3_13 ),
    inference(resolution,[],[f387,f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sK2(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ sdtlseqdt0(X1,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f387,plain,
    ( ~ aNaturalNumber0(sK2(xn,sK1))
    | spl3_13 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f385,plain,
    ( spl3_13
  <=> aNaturalNumber0(sK2(xn,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).

fof(f392,plain,
    ( ~ spl3_13
    | spl3_14 ),
    inference(avatar_split_clause,[],[f383,f389,f385]) ).

fof(f383,plain,
    ( xm = sK2(xn,sK1)
    | ~ aNaturalNumber0(sK2(xn,sK1)) ),
    inference(subsumption_resolution,[],[f382,f134]) ).

fof(f382,plain,
    ( ~ sdtlseqdt0(sK1,xn)
    | ~ aNaturalNumber0(sK2(xn,sK1))
    | xm = sK2(xn,sK1) ),
    inference(subsumption_resolution,[],[f381,f57]) ).

fof(f381,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ sdtlseqdt0(sK1,xn)
    | xm = sK2(xn,sK1)
    | ~ aNaturalNumber0(sK2(xn,sK1)) ),
    inference(equality_resolution,[],[f341]) ).

fof(f341,plain,
    ! [X2] :
      ( xn != X2
      | xm = sK2(X2,sK1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(sK2(X2,sK1))
      | ~ sdtlseqdt0(sK1,X2) ),
    inference(subsumption_resolution,[],[f338,f63]) ).

fof(f338,plain,
    ! [X2] :
      ( ~ aNaturalNumber0(sK2(X2,sK1))
      | xm = sK2(X2,sK1)
      | ~ aNaturalNumber0(sK1)
      | ~ aNaturalNumber0(X2)
      | ~ sdtlseqdt0(sK1,X2)
      | xn != X2 ),
    inference(superposition,[],[f328,f74]) ).

fof(f328,plain,
    ! [X0] :
      ( xn != sdtpldt0(sK1,X0)
      | ~ aNaturalNumber0(X0)
      | xm = X0 ),
    inference(subsumption_resolution,[],[f327,f63]) ).

fof(f327,plain,
    ! [X0] :
      ( xn != sdtpldt0(sK1,X0)
      | xm = X0
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sK1) ),
    inference(duplicate_literal_removal,[],[f324]) ).

fof(f324,plain,
    ! [X0] :
      ( xn != sdtpldt0(sK1,X0)
      | xm = X0
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sK1)
      | ~ aNaturalNumber0(X0) ),
    inference(superposition,[],[f311,f60]) ).

fof(f311,plain,
    ! [X0] :
      ( xn != sdtpldt0(X0,sK1)
      | ~ aNaturalNumber0(X0)
      | xm = X0 ),
    inference(subsumption_resolution,[],[f310,f59]) ).

fof(f310,plain,
    ! [X0] :
      ( xm = X0
      | ~ aNaturalNumber0(xm)
      | ~ aNaturalNumber0(X0)
      | xn != sdtpldt0(X0,sK1) ),
    inference(subsumption_resolution,[],[f288,f63]) ).

fof(f288,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(sK1)
      | xm = X0
      | xn != sdtpldt0(X0,sK1)
      | ~ aNaturalNumber0(xm)
      | ~ aNaturalNumber0(X0) ),
    inference(superposition,[],[f71,f62]) ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | X1 = X2
      | ~ aNaturalNumber0(X2) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2)
      | X1 = X2
      | ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        & sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f33]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | X0 = X1
      | ( sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
        & sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
      | ~ aNaturalNumber0(X2) ),
    inference(flattening,[],[f32]) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | ( sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
        & sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X2,X0,X1] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtpldt0(X2,X0) = sdtpldt0(X2,X1)
          | sdtpldt0(X1,X2) = sdtpldt0(X0,X2) )
       => X0 = X1 ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X2,X1,X0] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
          | sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).

fof(f358,plain,
    spl3_12,
    inference(avatar_contradiction_clause,[],[f357]) ).

fof(f357,plain,
    ( $false
    | spl3_12 ),
    inference(subsumption_resolution,[],[f356,f67]) ).

fof(f356,plain,
    ( ~ aNaturalNumber0(sK0)
    | spl3_12 ),
    inference(subsumption_resolution,[],[f355,f136]) ).

fof(f355,plain,
    ( ~ sdtlseqdt0(sK0,xl)
    | ~ aNaturalNumber0(sK0)
    | spl3_12 ),
    inference(subsumption_resolution,[],[f354,f58]) ).

fof(f354,plain,
    ( ~ aNaturalNumber0(xl)
    | ~ aNaturalNumber0(sK0)
    | ~ sdtlseqdt0(sK0,xl)
    | spl3_12 ),
    inference(resolution,[],[f352,f75]) ).

fof(f352,plain,
    ( ~ aNaturalNumber0(sK2(xl,sK0))
    | spl3_12 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f350,plain,
    ( spl3_12
  <=> aNaturalNumber0(sK2(xl,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

fof(f353,plain,
    ( spl3_11
    | ~ spl3_12 ),
    inference(avatar_split_clause,[],[f344,f350,f346]) ).

fof(f344,plain,
    ( ~ aNaturalNumber0(sK2(xl,sK0))
    | xn = sK2(xl,sK0) ),
    inference(subsumption_resolution,[],[f343,f58]) ).

fof(f343,plain,
    ( ~ aNaturalNumber0(xl)
    | xn = sK2(xl,sK0)
    | ~ aNaturalNumber0(sK2(xl,sK0)) ),
    inference(subsumption_resolution,[],[f342,f136]) ).

fof(f342,plain,
    ( xn = sK2(xl,sK0)
    | ~ aNaturalNumber0(sK2(xl,sK0))
    | ~ sdtlseqdt0(sK0,xl)
    | ~ aNaturalNumber0(xl) ),
    inference(equality_resolution,[],[f335]) ).

fof(f335,plain,
    ! [X2] :
      ( xl != X2
      | ~ sdtlseqdt0(sK0,X2)
      | ~ aNaturalNumber0(sK2(X2,sK0))
      | xn = sK2(X2,sK0)
      | ~ aNaturalNumber0(X2) ),
    inference(subsumption_resolution,[],[f332,f67]) ).

fof(f332,plain,
    ! [X2] :
      ( xn = sK2(X2,sK0)
      | xl != X2
      | ~ aNaturalNumber0(sK2(X2,sK0))
      | ~ aNaturalNumber0(X2)
      | ~ sdtlseqdt0(sK0,X2)
      | ~ aNaturalNumber0(sK0) ),
    inference(superposition,[],[f321,f74]) ).

fof(f321,plain,
    ! [X1] :
      ( xl != sdtpldt0(sK0,X1)
      | xn = X1
      | ~ aNaturalNumber0(X1) ),
    inference(subsumption_resolution,[],[f320,f67]) ).

fof(f320,plain,
    ! [X1] :
      ( ~ aNaturalNumber0(X1)
      | xl != sdtpldt0(sK0,X1)
      | xn = X1
      | ~ aNaturalNumber0(sK0) ),
    inference(duplicate_literal_removal,[],[f318]) ).

fof(f318,plain,
    ! [X1] :
      ( xl != sdtpldt0(sK0,X1)
      | ~ aNaturalNumber0(sK0)
      | ~ aNaturalNumber0(X1)
      | xn = X1
      | ~ aNaturalNumber0(X1) ),
    inference(superposition,[],[f308,f60]) ).

fof(f308,plain,
    ! [X1] :
      ( xl != sdtpldt0(X1,sK0)
      | xn = X1
      | ~ aNaturalNumber0(X1) ),
    inference(subsumption_resolution,[],[f307,f57]) ).

fof(f307,plain,
    ! [X1] :
      ( ~ aNaturalNumber0(X1)
      | xl != sdtpldt0(X1,sK0)
      | xn = X1
      | ~ aNaturalNumber0(xn) ),
    inference(subsumption_resolution,[],[f289,f67]) ).

fof(f289,plain,
    ! [X1] :
      ( ~ aNaturalNumber0(X1)
      | xl != sdtpldt0(X1,sK0)
      | ~ aNaturalNumber0(sK0)
      | ~ aNaturalNumber0(xn)
      | xn = X1 ),
    inference(superposition,[],[f71,f68]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM460+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 06:51:16 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.47  % (20279)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.47  % (20287)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)
% 0.21/0.52  % (20276)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)
% 0.21/0.52  % (20271)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.38/0.53  % (20274)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)
% 1.38/0.53  % (20291)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.38/0.53  % (20273)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)
% 1.38/0.53  % (20286)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.38/0.53  % (20272)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.38/0.53  % (20273)Instruction limit reached!
% 1.38/0.53  % (20273)------------------------------
% 1.38/0.53  % (20273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.53  % (20273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.53  % (20273)Termination reason: Unknown
% 1.38/0.53  % (20273)Termination phase: Saturation
% 1.38/0.53  
% 1.38/0.53  % (20273)Memory used [KB]: 1535
% 1.38/0.53  % (20273)Time elapsed: 0.003 s
% 1.38/0.53  % (20273)Instructions burned: 3 (million)
% 1.38/0.53  % (20273)------------------------------
% 1.38/0.53  % (20273)------------------------------
% 1.38/0.53  % (20293)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)
% 1.38/0.53  % (20284)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)
% 1.38/0.53  % (20275)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.38/0.53  % (20287)Instruction limit reached!
% 1.38/0.53  % (20287)------------------------------
% 1.38/0.53  % (20287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.53  % (20278)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.38/0.54  % (20290)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)
% 1.38/0.54  % (20287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54  % (20287)Termination reason: Unknown
% 1.38/0.54  % (20287)Termination phase: Saturation
% 1.38/0.54  
% 1.38/0.54  % (20287)Memory used [KB]: 6396
% 1.38/0.54  % (20287)Time elapsed: 0.128 s
% 1.38/0.54  % (20287)Instructions burned: 50 (million)
% 1.38/0.54  % (20287)------------------------------
% 1.38/0.54  % (20287)------------------------------
% 1.38/0.54  % (20288)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.38/0.54  % (20290)Refutation not found, incomplete strategy% (20290)------------------------------
% 1.38/0.54  % (20290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54  % (20290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54  % (20290)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.54  
% 1.38/0.54  % (20290)Memory used [KB]: 6012
% 1.38/0.54  % (20290)Time elapsed: 0.137 s
% 1.38/0.54  % (20290)Instructions burned: 2 (million)
% 1.38/0.54  % (20290)------------------------------
% 1.38/0.54  % (20290)------------------------------
% 1.38/0.54  % (20288)Instruction limit reached!
% 1.38/0.54  % (20288)------------------------------
% 1.38/0.54  % (20288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54  % (20288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54  % (20288)Termination reason: Unknown
% 1.38/0.54  % (20288)Termination phase: Finite model building preprocessing
% 1.38/0.54  
% 1.38/0.54  % (20288)Memory used [KB]: 1407
% 1.38/0.54  % (20288)Time elapsed: 0.002 s
% 1.38/0.54  % (20288)Instructions burned: 3 (million)
% 1.38/0.54  % (20288)------------------------------
% 1.38/0.54  % (20288)------------------------------
% 1.38/0.54  % (20279)Instruction limit reached!
% 1.38/0.54  % (20279)------------------------------
% 1.38/0.54  % (20279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54  % (20279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54  % (20279)Termination reason: Unknown
% 1.38/0.54  % (20279)Termination phase: Saturation
% 1.38/0.54  
% 1.38/0.54  % (20279)Memory used [KB]: 6780
% 1.38/0.54  % (20279)Time elapsed: 0.110 s
% 1.38/0.54  % (20279)Instructions burned: 49 (million)
% 1.38/0.54  % (20279)------------------------------
% 1.38/0.54  % (20279)------------------------------
% 1.38/0.54  % (20285)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)
% 1.38/0.54  % (20294)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.38/0.54  % (20285)Instruction limit reached!
% 1.38/0.54  % (20285)------------------------------
% 1.38/0.54  % (20285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54  % (20285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54  % (20285)Termination reason: Unknown
% 1.38/0.54  % (20285)Termination phase: Saturation
% 1.38/0.54  
% 1.38/0.54  % (20285)Memory used [KB]: 1407
% 1.38/0.54  % (20285)Time elapsed: 0.002 s
% 1.38/0.54  % (20285)Instructions burned: 3 (million)
% 1.38/0.54  % (20285)------------------------------
% 1.38/0.54  % (20285)------------------------------
% 1.38/0.54  % (20289)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)
% 1.38/0.54  % (20282)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)
% 1.38/0.54  % (20299)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.38/0.54  % (20300)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)
% 1.38/0.54  % (20280)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)
% 1.38/0.54  % (20289)Instruction limit reached!
% 1.38/0.54  % (20289)------------------------------
% 1.38/0.54  % (20289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54  % (20289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54  % (20289)Termination reason: Unknown
% 1.38/0.54  % (20289)Termination phase: Saturation
% 1.38/0.54  
% 1.38/0.54  % (20289)Memory used [KB]: 6012
% 1.38/0.54  % (20289)Time elapsed: 0.003 s
% 1.38/0.54  % (20289)Instructions burned: 3 (million)
% 1.38/0.54  % (20289)------------------------------
% 1.38/0.54  % (20289)------------------------------
% 1.38/0.54  % (20282)Instruction limit reached!
% 1.38/0.54  % (20282)------------------------------
% 1.38/0.54  % (20282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54  % (20282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54  % (20282)Termination reason: Unknown
% 1.38/0.54  % (20282)Termination phase: Saturation
% 1.38/0.54  
% 1.38/0.54  % (20282)Memory used [KB]: 6012
% 1.38/0.54  % (20282)Time elapsed: 0.151 s
% 1.38/0.54  % (20282)Instructions burned: 7 (million)
% 1.38/0.54  % (20282)------------------------------
% 1.38/0.54  % (20282)------------------------------
% 1.38/0.54  % (20298)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)
% 1.38/0.55  % (20296)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)
% 1.56/0.55  % (20295)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)
% 1.56/0.55  % (20283)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)
% 1.56/0.55  % (20272)Instruction limit reached!
% 1.56/0.55  % (20272)------------------------------
% 1.56/0.55  % (20272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55  % (20283)Refutation not found, incomplete strategy% (20283)------------------------------
% 1.56/0.55  % (20283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55  % (20277)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)
% 1.56/0.55  % (20276)Instruction limit reached!
% 1.56/0.55  % (20276)------------------------------
% 1.56/0.55  % (20276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55  % (20286)Instruction limit reached!
% 1.56/0.55  % (20286)------------------------------
% 1.56/0.55  % (20286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55  % (20286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55  % (20286)Termination reason: Unknown
% 1.56/0.55  % (20286)Termination phase: Saturation
% 1.56/0.55  
% 1.56/0.55  % (20286)Memory used [KB]: 6012
% 1.56/0.55  % (20286)Time elapsed: 0.147 s
% 1.56/0.55  % (20286)Instructions burned: 7 (million)
% 1.56/0.55  % (20286)------------------------------
% 1.56/0.55  % (20286)------------------------------
% 1.56/0.55  % (20292)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)
% 1.56/0.55  % (20297)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)
% 1.56/0.55  % (20281)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)
% 1.56/0.55  % (20272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55  % (20272)Termination reason: Unknown
% 1.56/0.55  % (20272)Termination phase: Saturation
% 1.56/0.55  
% 1.56/0.55  % (20272)Memory used [KB]: 6140
% 1.56/0.55  % (20272)Time elapsed: 0.140 s
% 1.56/0.55  % (20272)Instructions burned: 13 (million)
% 1.56/0.55  % (20272)------------------------------
% 1.56/0.55  % (20272)------------------------------
% 1.56/0.56  % (20283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (20283)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.56  
% 1.56/0.56  % (20283)Memory used [KB]: 1535
% 1.56/0.56  % (20283)Time elapsed: 0.160 s
% 1.56/0.56  % (20283)Instructions burned: 3 (million)
% 1.56/0.56  % (20283)------------------------------
% 1.56/0.56  % (20283)------------------------------
% 1.56/0.56  % (20275)Instruction limit reached!
% 1.56/0.56  % (20275)------------------------------
% 1.56/0.56  % (20275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56  % (20299)Instruction limit reached!
% 1.56/0.56  % (20299)------------------------------
% 1.56/0.56  % (20299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56  % (20299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (20299)Termination reason: Unknown
% 1.56/0.56  % (20299)Termination phase: Saturation
% 1.56/0.56  
% 1.56/0.56  % (20299)Memory used [KB]: 6140
% 1.56/0.56  % (20299)Time elapsed: 0.149 s
% 1.56/0.56  % (20299)Instructions burned: 8 (million)
% 1.56/0.56  % (20299)------------------------------
% 1.56/0.56  % (20299)------------------------------
% 1.56/0.56  % (20275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (20275)Termination reason: Unknown
% 1.56/0.56  % (20275)Termination phase: Saturation
% 1.56/0.56  
% 1.56/0.56  % (20275)Memory used [KB]: 6140
% 1.56/0.56  % (20275)Time elapsed: 0.139 s
% 1.56/0.56  % (20275)Instructions burned: 13 (million)
% 1.56/0.56  % (20275)------------------------------
% 1.56/0.56  % (20275)------------------------------
% 1.56/0.56  % (20281)Refutation not found, incomplete strategy% (20281)------------------------------
% 1.56/0.56  % (20281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56  % (20276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (20276)Termination reason: Unknown
% 1.56/0.56  % (20276)Termination phase: Saturation
% 1.56/0.56  
% 1.56/0.56  % (20276)Memory used [KB]: 1663
% 1.56/0.56  % (20276)Time elapsed: 0.156 s
% 1.56/0.56  % (20276)Instructions burned: 15 (million)
% 1.56/0.56  % (20276)------------------------------
% 1.56/0.56  % (20276)------------------------------
% 1.56/0.58  % (20281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.58  % (20281)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.58  
% 1.56/0.58  % (20281)Memory used [KB]: 6140
% 1.56/0.58  % (20281)Time elapsed: 0.168 s
% 1.56/0.58  % (20281)Instructions burned: 6 (million)
% 1.56/0.58  % (20281)------------------------------
% 1.56/0.58  % (20281)------------------------------
% 1.56/0.58  % (20298)Instruction limit reached!
% 1.56/0.58  % (20298)------------------------------
% 1.56/0.58  % (20298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.58  % (20291)Instruction limit reached!
% 1.56/0.58  % (20291)------------------------------
% 1.56/0.58  % (20291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.58  % (20298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.58  % (20298)Termination reason: Unknown
% 1.56/0.58  % (20298)Termination phase: Saturation
% 1.56/0.58  
% 1.56/0.58  % (20298)Memory used [KB]: 6524
% 1.56/0.58  % (20298)Time elapsed: 0.184 s
% 1.56/0.58  % (20298)Instructions burned: 25 (million)
% 1.56/0.58  % (20298)------------------------------
% 1.56/0.58  % (20298)------------------------------
% 1.56/0.59  % (20291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.59  % (20291)Termination reason: Unknown
% 1.56/0.59  % (20291)Termination phase: Saturation
% 1.56/0.59  
% 1.56/0.59  % (20291)Memory used [KB]: 6396
% 1.56/0.59  % (20291)Time elapsed: 0.176 s
% 1.56/0.59  % (20291)Instructions burned: 30 (million)
% 1.56/0.59  % (20291)------------------------------
% 1.56/0.59  % (20291)------------------------------
% 1.56/0.59  % (20278)Refutation not found, non-redundant clauses discarded% (20278)------------------------------
% 1.56/0.59  % (20278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59  % (20280)Refutation not found, non-redundant clauses discarded% (20280)------------------------------
% 1.56/0.59  % (20280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59  % (20280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.59  % (20280)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.56/0.59  
% 1.56/0.59  % (20280)Memory used [KB]: 6396
% 1.56/0.59  % (20280)Time elapsed: 0.198 s
% 1.56/0.59  % (20280)Instructions burned: 27 (million)
% 1.56/0.59  % (20280)------------------------------
% 1.56/0.59  % (20280)------------------------------
% 1.56/0.59  % (20300)Instruction limit reached!
% 1.56/0.59  % (20300)------------------------------
% 1.56/0.59  % (20300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59  % (20300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.59  % (20300)Termination reason: Unknown
% 1.56/0.59  % (20300)Termination phase: Saturation
% 1.56/0.59  
% 1.56/0.59  % (20300)Memory used [KB]: 6396
% 1.56/0.59  % (20300)Time elapsed: 0.180 s
% 1.56/0.59  % (20300)Instructions burned: 24 (million)
% 1.56/0.59  % (20300)------------------------------
% 1.56/0.59  % (20300)------------------------------
% 1.56/0.60  % (20274)Instruction limit reached!
% 1.56/0.60  % (20274)------------------------------
% 1.56/0.60  % (20274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.60  % (20284)Instruction limit reached!
% 1.56/0.60  % (20284)------------------------------
% 1.56/0.60  % (20284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.60  % (20277)First to succeed.
% 1.56/0.61  % (20277)Refutation found. Thanks to Tanya!
% 1.56/0.61  % SZS status Theorem for theBenchmark
% 1.56/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.61  % (20277)------------------------------
% 1.56/0.61  % (20277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.61  % (20277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.61  % (20277)Termination reason: Refutation
% 1.56/0.61  
% 1.56/0.61  % (20277)Memory used [KB]: 6396
% 1.56/0.61  % (20277)Time elapsed: 0.162 s
% 1.56/0.61  % (20277)Instructions burned: 29 (million)
% 1.56/0.61  % (20277)------------------------------
% 1.56/0.61  % (20277)------------------------------
% 1.56/0.61  % (20270)Success in time 0.265 s
%------------------------------------------------------------------------------