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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n006.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 18:05:15 EDT 2022

% Result   : Theorem 4.10s 1.03s
% Output   : Refutation 4.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   90 (  21 unt;   0 def)
%            Number of atoms       :  295 (  92 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  333 ( 128   ~; 119   |;  68   &)
%                                         (   4 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :  102 (  81   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3648,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1406,f3644]) ).

fof(f3644,plain,
    ~ spl3_11,
    inference(avatar_contradiction_clause,[],[f3643]) ).

fof(f3643,plain,
    ( $false
    | ~ spl3_11 ),
    inference(subsumption_resolution,[],[f3635,f1408]) ).

fof(f1408,plain,
    ( aNaturalNumber0(sdtpldt0(sK2(xn,xm),sK2(xl,xn)))
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f1407,f1032]) ).

fof(f1032,plain,
    sK2(xn,xm) = sK0,
    inference(subsumption_resolution,[],[f1031,f144]) ).

fof(f144,plain,
    aNaturalNumber0(sK2(xn,xm)),
    inference(subsumption_resolution,[],[f143,f125]) ).

fof(f125,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f22]) ).

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

fof(f143,plain,
    ( aNaturalNumber0(sK2(xn,xm))
    | ~ aNaturalNumber0(xn) ),
    inference(subsumption_resolution,[],[f140,f124]) ).

fof(f124,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f22]) ).

fof(f140,plain,
    ( ~ aNaturalNumber0(xm)
    | aNaturalNumber0(sK2(xn,xm))
    | ~ aNaturalNumber0(xn) ),
    inference(resolution,[],[f99,f95]) ).

fof(f95,plain,
    sdtlseqdt0(xm,xn),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ( ~ sdtlseqdt0(xm,xl)
    & sdtlseqdt0(xm,xn)
    & xn = sdtpldt0(xm,sK0)
    & aNaturalNumber0(sK0)
    & xl = sdtpldt0(xn,sK1)
    & aNaturalNumber0(sK1)
    & sdtlseqdt0(xn,xl)
    & ! [X2] :
        ( ~ aNaturalNumber0(X2)
        | xl != sdtpldt0(xm,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f43,f72,f71]) ).

fof(f71,plain,
    ( ? [X0] :
        ( xn = sdtpldt0(xm,X0)
        & aNaturalNumber0(X0) )
   => ( xn = sdtpldt0(xm,sK0)
      & aNaturalNumber0(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f72,plain,
    ( ? [X1] :
        ( xl = sdtpldt0(xn,X1)
        & aNaturalNumber0(X1) )
   => ( xl = sdtpldt0(xn,sK1)
      & aNaturalNumber0(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ( ~ sdtlseqdt0(xm,xl)
    & sdtlseqdt0(xm,xn)
    & ? [X0] :
        ( xn = sdtpldt0(xm,X0)
        & aNaturalNumber0(X0) )
    & ? [X1] :
        ( xl = sdtpldt0(xn,X1)
        & aNaturalNumber0(X1) )
    & sdtlseqdt0(xn,xl)
    & ! [X2] :
        ( ~ aNaturalNumber0(X2)
        | xl != sdtpldt0(xm,X2) ) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ( ! [X2] :
        ( ~ aNaturalNumber0(X2)
        | xl != sdtpldt0(xm,X2) )
    & ~ sdtlseqdt0(xm,xl)
    & ? [X1] :
        ( xl = sdtpldt0(xn,X1)
        & aNaturalNumber0(X1) )
    & sdtlseqdt0(xn,xl)
    & ? [X0] :
        ( xn = sdtpldt0(xm,X0)
        & aNaturalNumber0(X0) )
    & sdtlseqdt0(xm,xn) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,plain,
    ~ ( ( ? [X1] :
            ( xl = sdtpldt0(xn,X1)
            & aNaturalNumber0(X1) )
        & sdtlseqdt0(xn,xl)
        & ? [X0] :
            ( xn = sdtpldt0(xm,X0)
            & aNaturalNumber0(X0) )
        & sdtlseqdt0(xm,xn) )
     => ( ? [X2] :
            ( aNaturalNumber0(X2)
            & xl = sdtpldt0(xm,X2) )
        | sdtlseqdt0(xm,xl) ) ),
    inference(rectify,[],[f24]) ).

fof(f24,negated_conjecture,
    ~ ( ( sdtlseqdt0(xn,xl)
        & ? [X0] :
            ( xn = sdtpldt0(xm,X0)
            & aNaturalNumber0(X0) )
        & ? [X0] :
            ( aNaturalNumber0(X0)
            & xl = sdtpldt0(xn,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] :
          ( xn = sdtpldt0(xm,X0)
          & aNaturalNumber0(X0) )
      & ? [X0] :
          ( aNaturalNumber0(X0)
          & xl = sdtpldt0(xn,X0) )
      & sdtlseqdt0(xm,xn) )
   => ( ? [X0] :
          ( xl = sdtpldt0(xm,X0)
          & aNaturalNumber0(X0) )
      | sdtlseqdt0(xm,xl) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(X1,X0)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | aNaturalNumber0(sK2(X0,X1)) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ( ( ( sdtpldt0(X1,sK2(X0,X1)) = X0
            & aNaturalNumber0(sK2(X0,X1)) )
          | ~ sdtlseqdt0(X1,X0) )
        & ( sdtlseqdt0(X1,X0)
          | ! [X3] :
              ( sdtpldt0(X1,X3) != X0
              | ~ aNaturalNumber0(X3) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f76,f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sdtpldt0(X1,X2) = X0
          & aNaturalNumber0(X2) )
     => ( sdtpldt0(X1,sK2(X0,X1)) = X0
        & aNaturalNumber0(sK2(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ( ( ? [X2] :
              ( sdtpldt0(X1,X2) = X0
              & aNaturalNumber0(X2) )
          | ~ sdtlseqdt0(X1,X0) )
        & ( sdtlseqdt0(X1,X0)
          | ! [X3] :
              ( sdtpldt0(X1,X3) != X0
              | ~ aNaturalNumber0(X3) ) ) ) ),
    inference(rectify,[],[f75]) ).

fof(f75,plain,
    ! [X1,X0] :
      ( ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ( ( ? [X2] :
              ( sdtpldt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
          | ~ sdtlseqdt0(X0,X1) )
        & ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( sdtpldt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) ) ) ),
    inference(nnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X1,X0] :
      ( ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ( ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) )
      <=> sdtlseqdt0(X0,X1) ) ),
    inference(flattening,[],[f68]) ).

fof(f68,plain,
    ! [X1,X0] :
      ( ( ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) )
      <=> sdtlseqdt0(X0,X1) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f18]) ).

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

fof(f1031,plain,
    ( ~ aNaturalNumber0(sK2(xn,xm))
    | sK2(xn,xm) = sK0 ),
    inference(trivial_inequality_removal,[],[f1030]) ).

fof(f1030,plain,
    ( xn != xn
    | ~ aNaturalNumber0(sK2(xn,xm))
    | sK2(xn,xm) = sK0 ),
    inference(superposition,[],[f536,f184]) ).

fof(f184,plain,
    xn = sdtpldt0(xm,sK2(xn,xm)),
    inference(subsumption_resolution,[],[f183,f124]) ).

fof(f183,plain,
    ( ~ aNaturalNumber0(xm)
    | xn = sdtpldt0(xm,sK2(xn,xm)) ),
    inference(subsumption_resolution,[],[f178,f125]) ).

fof(f178,plain,
    ( xn = sdtpldt0(xm,sK2(xn,xm))
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm) ),
    inference(resolution,[],[f100,f95]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(X1,X0)
      | sdtpldt0(X1,sK2(X0,X1)) = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f536,plain,
    ! [X0] :
      ( xn != sdtpldt0(xm,X0)
      | sK0 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f530,f93]) ).

fof(f93,plain,
    aNaturalNumber0(sK0),
    inference(cnf_transformation,[],[f73]) ).

fof(f530,plain,
    ! [X0] :
      ( xn != sdtpldt0(xm,X0)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sK0)
      | sK0 = X0 ),
    inference(superposition,[],[f200,f94]) ).

fof(f94,plain,
    xn = sdtpldt0(xm,sK0),
    inference(cnf_transformation,[],[f73]) ).

fof(f200,plain,
    ! [X4,X5] :
      ( sdtpldt0(xm,X4) != sdtpldt0(xm,X5)
      | X4 = X5
      | ~ aNaturalNumber0(X4)
      | ~ aNaturalNumber0(X5) ),
    inference(resolution,[],[f111,f124]) ).

fof(f111,plain,
    ! [X2,X0,X1] :
      ( ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1,X2] :
      ( ~ aNaturalNumber0(X1)
      | X0 = X1
      | ( sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
        & sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X2) ),
    inference(rectify,[],[f39]) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( ~ aNaturalNumber0(X0)
      | X0 = X2
      | ( sdtpldt0(X0,X1) != sdtpldt0(X2,X1)
        & sdtpldt0(X1,X0) != sdtpldt0(X1,X2) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ! [X1,X2,X0] :
      ( X0 = X2
      | ( sdtpldt0(X0,X1) != sdtpldt0(X2,X1)
        & sdtpldt0(X1,X0) != sdtpldt0(X1,X2) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X1,X2,X0] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => ( ( sdtpldt0(X0,X1) = sdtpldt0(X2,X1)
          | sdtpldt0(X1,X0) = sdtpldt0(X1,X2) )
       => X0 = X2 ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X2,X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0)
        & 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(f1407,plain,
    ( aNaturalNumber0(sdtpldt0(sK0,sK2(xl,xn)))
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f342,f1136]) ).

fof(f1136,plain,
    sK1 = sK2(xl,xn),
    inference(subsumption_resolution,[],[f1135,f146]) ).

fof(f146,plain,
    aNaturalNumber0(sK2(xl,xn)),
    inference(subsumption_resolution,[],[f145,f126]) ).

fof(f126,plain,
    aNaturalNumber0(xl),
    inference(cnf_transformation,[],[f22]) ).

fof(f145,plain,
    ( aNaturalNumber0(sK2(xl,xn))
    | ~ aNaturalNumber0(xl) ),
    inference(subsumption_resolution,[],[f139,f125]) ).

fof(f139,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xl)
    | aNaturalNumber0(sK2(xl,xn)) ),
    inference(resolution,[],[f99,f90]) ).

fof(f90,plain,
    sdtlseqdt0(xn,xl),
    inference(cnf_transformation,[],[f73]) ).

fof(f1135,plain,
    ( ~ aNaturalNumber0(sK2(xl,xn))
    | sK1 = sK2(xl,xn) ),
    inference(trivial_inequality_removal,[],[f1134]) ).

fof(f1134,plain,
    ( sK1 = sK2(xl,xn)
    | ~ aNaturalNumber0(sK2(xl,xn))
    | xl != xl ),
    inference(superposition,[],[f565,f182]) ).

fof(f182,plain,
    xl = sdtpldt0(xn,sK2(xl,xn)),
    inference(subsumption_resolution,[],[f181,f125]) ).

fof(f181,plain,
    ( xl = sdtpldt0(xn,sK2(xl,xn))
    | ~ aNaturalNumber0(xn) ),
    inference(subsumption_resolution,[],[f177,f126]) ).

fof(f177,plain,
    ( xl = sdtpldt0(xn,sK2(xl,xn))
    | ~ aNaturalNumber0(xl)
    | ~ aNaturalNumber0(xn) ),
    inference(resolution,[],[f100,f90]) ).

fof(f565,plain,
    ! [X0] :
      ( xl != sdtpldt0(xn,X0)
      | sK1 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f560,f91]) ).

fof(f91,plain,
    aNaturalNumber0(sK1),
    inference(cnf_transformation,[],[f73]) ).

fof(f560,plain,
    ! [X0] :
      ( sK1 = X0
      | ~ aNaturalNumber0(X0)
      | xl != sdtpldt0(xn,X0)
      | ~ aNaturalNumber0(sK1) ),
    inference(superposition,[],[f201,f92]) ).

fof(f92,plain,
    xl = sdtpldt0(xn,sK1),
    inference(cnf_transformation,[],[f73]) ).

fof(f201,plain,
    ! [X6,X7] :
      ( sdtpldt0(xn,X7) != sdtpldt0(xn,X6)
      | ~ aNaturalNumber0(X7)
      | ~ aNaturalNumber0(X6)
      | X6 = X7 ),
    inference(resolution,[],[f111,f125]) ).

fof(f342,plain,
    ( aNaturalNumber0(sdtpldt0(sK0,sK1))
    | ~ spl3_11 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f341,plain,
    ( spl3_11
  <=> aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

fof(f3635,plain,
    ~ aNaturalNumber0(sdtpldt0(sK2(xn,xm),sK2(xl,xn))),
    inference(trivial_inequality_removal,[],[f3628]) ).

fof(f3628,plain,
    ( xl != xl
    | ~ aNaturalNumber0(sdtpldt0(sK2(xn,xm),sK2(xl,xn))) ),
    inference(superposition,[],[f89,f1616]) ).

fof(f1616,plain,
    xl = sdtpldt0(xm,sdtpldt0(sK2(xn,xm),sK2(xl,xn))),
    inference(forward_demodulation,[],[f1591,f182]) ).

fof(f1591,plain,
    sdtpldt0(xn,sK2(xl,xn)) = sdtpldt0(xm,sdtpldt0(sK2(xn,xm),sK2(xl,xn))),
    inference(resolution,[],[f1066,f146]) ).

fof(f1066,plain,
    ! [X3] :
      ( ~ aNaturalNumber0(X3)
      | sdtpldt0(xm,sdtpldt0(sK2(xn,xm),X3)) = sdtpldt0(xn,X3) ),
    inference(backward_demodulation,[],[f418,f1032]) ).

fof(f418,plain,
    ! [X3] :
      ( sdtpldt0(xn,X3) = sdtpldt0(xm,sdtpldt0(sK0,X3))
      | ~ aNaturalNumber0(X3) ),
    inference(forward_demodulation,[],[f406,f94]) ).

fof(f406,plain,
    ! [X3] :
      ( sdtpldt0(sdtpldt0(xm,sK0),X3) = sdtpldt0(xm,sdtpldt0(sK0,X3))
      | ~ aNaturalNumber0(X3) ),
    inference(resolution,[],[f224,f124]) ).

fof(f224,plain,
    ! [X10,X11] :
      ( ~ aNaturalNumber0(X10)
      | ~ aNaturalNumber0(X11)
      | sdtpldt0(sdtpldt0(X10,sK0),X11) = sdtpldt0(X10,sdtpldt0(sK0,X11)) ),
    inference(resolution,[],[f102,f93]) ).

fof(f102,plain,
    ! [X2,X0,X1] :
      ( ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X0)
      | sdtpldt0(sdtpldt0(X0,X2),X1) = sdtpldt0(X0,sdtpldt0(X2,X1))
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( sdtpldt0(sdtpldt0(X0,X2),X1) = sdtpldt0(X0,sdtpldt0(X2,X1))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f45]) ).

fof(f45,plain,
    ! [X0,X2,X1] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X0,X2,X1] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f7]) ).

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

fof(f89,plain,
    ! [X2] :
      ( xl != sdtpldt0(xm,X2)
      | ~ aNaturalNumber0(X2) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f1406,plain,
    spl3_11,
    inference(avatar_contradiction_clause,[],[f1405]) ).

fof(f1405,plain,
    ( $false
    | spl3_11 ),
    inference(subsumption_resolution,[],[f1404,f146]) ).

fof(f1404,plain,
    ( ~ aNaturalNumber0(sK2(xl,xn))
    | spl3_11 ),
    inference(subsumption_resolution,[],[f1403,f144]) ).

fof(f1403,plain,
    ( ~ aNaturalNumber0(sK2(xn,xm))
    | ~ aNaturalNumber0(sK2(xl,xn))
    | spl3_11 ),
    inference(resolution,[],[f1187,f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X1,X0))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X0)
      | aNaturalNumber0(sdtpldt0(X1,X0))
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X1,X0] :
      ( aNaturalNumber0(sdtpldt0(X1,X0))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X1,X0] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => 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(f1187,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sK2(xn,xm),sK2(xl,xn)))
    | spl3_11 ),
    inference(backward_demodulation,[],[f1054,f1136]) ).

fof(f1054,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sK2(xn,xm),sK1))
    | spl3_11 ),
    inference(backward_demodulation,[],[f343,f1032]) ).

fof(f343,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
    | spl3_11 ),
    inference(avatar_component_clause,[],[f341]) ).

%------------------------------------------------------------------------------
%----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_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 06:35:10 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (8380)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)
% 0.19/0.49  % (8372)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)
% 0.19/0.50  % (8364)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)
% 0.19/0.50  % (8361)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)
% 0.19/0.50  TRYING [1]
% 0.19/0.50  TRYING [2]
% 0.19/0.50  % (8360)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)
% 0.19/0.50  % (8362)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  TRYING [3]
% 0.19/0.52  % (8359)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)
% 0.19/0.52  % (8375)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52  % (8381)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)
% 0.19/0.52  % (8359)Refutation not found, incomplete strategy% (8359)------------------------------
% 0.19/0.52  % (8359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (8359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (8359)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (8359)Memory used [KB]: 5500
% 0.19/0.52  % (8359)Time elapsed: 0.130 s
% 0.19/0.52  % (8359)Instructions burned: 6 (million)
% 0.19/0.52  % (8359)------------------------------
% 0.19/0.52  % (8359)------------------------------
% 0.19/0.52  % (8363)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)
% 0.19/0.52  % (8386)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52  % (8382)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52  % (8358)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)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  TRYING [2]
% 0.19/0.52  % (8385)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)
% 0.19/0.53  % (8367)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)
% 0.19/0.53  TRYING [3]
% 0.19/0.53  % (8368)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  % (8387)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)
% 0.19/0.53  TRYING [2]
% 0.19/0.53  % (8377)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)
% 0.19/0.53  % (8373)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)
% 0.19/0.53  TRYING [4]
% 0.19/0.53  % (8378)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)
% 0.19/0.53  % (8384)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)
% 0.19/0.53  % (8374)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)
% 0.19/0.54  % (8379)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54  % (8369)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)
% 0.19/0.54  % (8365)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (8370)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54  % (8376)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (8371)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (8366)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (8364)Instruction limit reached!
% 0.19/0.54  % (8364)------------------------------
% 0.19/0.54  % (8364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (8365)Instruction limit reached!
% 0.19/0.54  % (8365)------------------------------
% 0.19/0.54  % (8365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (8366)Instruction limit reached!
% 0.19/0.54  % (8366)------------------------------
% 0.19/0.54  % (8366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (8365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (8366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (8365)Termination reason: Unknown
% 0.19/0.54  % (8366)Termination reason: Unknown
% 0.19/0.54  % (8365)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (8366)Termination phase: Blocked clause elimination
% 0.19/0.54  
% 0.19/0.54  % (8365)Memory used [KB]: 5500
% 0.19/0.54  % (8366)Memory used [KB]: 895
% 0.19/0.54  % (8365)Time elapsed: 0.153 s
% 0.19/0.54  % (8366)Time elapsed: 0.004 s
% 0.19/0.54  % (8365)Instructions burned: 9 (million)
% 0.19/0.54  % (8366)Instructions burned: 3 (million)
% 0.19/0.54  % (8365)------------------------------
% 0.19/0.54  % (8365)------------------------------
% 0.19/0.54  % (8366)------------------------------
% 0.19/0.54  % (8366)------------------------------
% 0.19/0.54  % (8383)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54  % (8364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (8364)Termination reason: Unknown
% 0.19/0.54  TRYING [3]
% 0.19/0.54  % (8364)Termination phase: Finite model building constraint generation
% 0.19/0.54  
% 0.19/0.54  % (8364)Memory used [KB]: 7675
% 0.19/0.54  % (8364)Time elapsed: 0.098 s
% 0.19/0.54  % (8364)Instructions burned: 52 (million)
% 0.19/0.54  % (8364)------------------------------
% 0.19/0.54  % (8364)------------------------------
% 0.19/0.55  TRYING [4]
% 0.19/0.58  TRYING [4]
% 0.19/0.59  % (8360)Instruction limit reached!
% 0.19/0.59  % (8360)------------------------------
% 0.19/0.59  % (8360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59  % (8360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59  % (8360)Termination reason: Unknown
% 0.19/0.59  % (8360)Termination phase: Saturation
% 0.19/0.59  
% 0.19/0.59  % (8360)Memory used [KB]: 1535
% 0.19/0.59  % (8360)Time elapsed: 0.199 s
% 0.19/0.59  % (8360)Instructions burned: 38 (million)
% 0.19/0.59  % (8360)------------------------------
% 0.19/0.59  % (8360)------------------------------
% 0.19/0.59  % (8372)Instruction limit reached!
% 0.19/0.59  % (8372)------------------------------
% 0.19/0.59  % (8372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59  % (8372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59  % (8372)Termination reason: Unknown
% 0.19/0.59  % (8372)Termination phase: Saturation
% 0.19/0.59  
% 0.19/0.59  % (8372)Memory used [KB]: 6780
% 0.19/0.59  % (8372)Time elapsed: 0.070 s
% 0.19/0.59  % (8372)Instructions burned: 68 (million)
% 0.19/0.59  % (8372)------------------------------
% 0.19/0.59  % (8372)------------------------------
% 0.19/0.60  % (8375)Instruction limit reached!
% 0.19/0.60  % (8375)------------------------------
% 0.19/0.60  % (8375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60  % (8375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60  % (8375)Termination reason: Unknown
% 0.19/0.60  % (8375)Termination phase: Finite model building constraint generation
% 0.19/0.60  
% 0.19/0.60  % (8375)Memory used [KB]: 7931
% 0.19/0.60  % (8375)Time elapsed: 0.192 s
% 0.19/0.60  % (8375)Instructions burned: 59 (million)
% 0.19/0.60  % (8375)------------------------------
% 0.19/0.60  % (8375)------------------------------
% 0.19/0.60  % (8362)Instruction limit reached!
% 0.19/0.60  % (8362)------------------------------
% 0.19/0.60  % (8362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60  % (8362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60  % (8362)Termination reason: Unknown
% 0.19/0.60  % (8362)Termination phase: Saturation
% 0.19/0.60  
% 0.19/0.60  % (8362)Memory used [KB]: 6268
% 0.19/0.60  % (8362)Time elapsed: 0.199 s
% 0.19/0.60  % (8362)Instructions burned: 51 (million)
% 0.19/0.60  % (8362)------------------------------
% 0.19/0.60  % (8362)------------------------------
% 0.19/0.61  % (8363)Instruction limit reached!
% 0.19/0.61  % (8363)------------------------------
% 0.19/0.61  % (8363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.61  % (8363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.61  % (8363)Termination reason: Unknown
% 0.19/0.61  % (8363)Termination phase: Saturation
% 0.19/0.61  
% 0.19/0.61  % (8363)Memory used [KB]: 6012
% 0.19/0.61  % (8363)Time elapsed: 0.200 s
% 0.19/0.61  % (8363)Instructions burned: 48 (million)
% 0.19/0.61  % (8363)------------------------------
% 0.19/0.61  % (8363)------------------------------
% 2.04/0.62  % (8361)Instruction limit reached!
% 2.04/0.62  % (8361)------------------------------
% 2.04/0.62  % (8361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.62  % (8361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.62  % (8361)Termination reason: Unknown
% 2.04/0.62  % (8361)Termination phase: Saturation
% 2.04/0.62  
% 2.04/0.62  % (8361)Memory used [KB]: 6524
% 2.04/0.62  % (8361)Time elapsed: 0.231 s
% 2.04/0.62  % (8361)Instructions burned: 52 (million)
% 2.04/0.62  % (8361)------------------------------
% 2.04/0.62  % (8361)------------------------------
% 2.04/0.62  % (8368)Instruction limit reached!
% 2.04/0.62  % (8368)------------------------------
% 2.04/0.62  % (8368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.62  % (8368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.62  % (8368)Termination reason: Unknown
% 2.04/0.62  % (8368)Termination phase: Saturation
% 2.04/0.62  
% 2.04/0.62  % (8368)Memory used [KB]: 6268
% 2.04/0.62  % (8368)Time elapsed: 0.221 s
% 2.04/0.62  % (8368)Instructions burned: 50 (million)
% 2.04/0.62  % (8368)------------------------------
% 2.04/0.62  % (8368)------------------------------
% 2.04/0.62  % (8367)Instruction limit reached!
% 2.04/0.62  % (8367)------------------------------
% 2.04/0.62  % (8367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.62  % (8367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.62  % (8367)Termination reason: Unknown
% 2.04/0.62  % (8367)Termination phase: Saturation
% 2.04/0.62  
% 2.04/0.62  % (8367)Memory used [KB]: 1918
% 2.04/0.62  % (8367)Time elapsed: 0.219 s
% 2.04/0.62  % (8367)Instructions burned: 51 (million)
% 2.04/0.62  % (8367)------------------------------
% 2.04/0.62  % (8367)------------------------------
% 2.28/0.66  % (8389)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)
% 2.28/0.66  % (8384)Instruction limit reached!
% 2.28/0.66  % (8384)------------------------------
% 2.28/0.66  % (8384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.66  % (8384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.66  % (8384)Termination reason: Unknown
% 2.28/0.66  % (8384)Termination phase: Saturation
% 2.28/0.66  
% 2.28/0.66  % (8384)Memory used [KB]: 6652
% 2.28/0.66  % (8384)Time elapsed: 0.040 s
% 2.28/0.66  % (8384)Instructions burned: 68 (million)
% 2.28/0.66  % (8384)------------------------------
% 2.28/0.66  % (8384)------------------------------
% 2.28/0.67  % (8373)Instruction limit reached!
% 2.28/0.67  % (8373)------------------------------
% 2.28/0.67  % (8373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.67  % (8373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.67  % (8373)Termination reason: Unknown
% 2.28/0.67  % (8373)Termination phase: Saturation
% 2.28/0.67  
% 2.28/0.67  % (8373)Memory used [KB]: 2174
% 2.28/0.67  % (8373)Time elapsed: 0.260 s
% 2.28/0.67  % (8373)Instructions burned: 75 (million)
% 2.28/0.67  % (8373)------------------------------
% 2.28/0.67  % (8373)------------------------------
% 2.28/0.68  % (8392)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/920Mi)
% 2.28/0.68  % (8390)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 (2998ds/211Mi)
% 2.28/0.70  % (8377)Instruction limit reached!
% 2.28/0.70  % (8377)------------------------------
% 2.28/0.70  % (8377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.70  % (8377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.70  % (8377)Termination reason: Unknown
% 2.28/0.70  % (8377)Termination phase: Saturation
% 2.28/0.70  
% 2.28/0.70  % (8377)Memory used [KB]: 2430
% 2.28/0.70  % (8377)Time elapsed: 0.316 s
% 2.28/0.70  % (8377)Instructions burned: 101 (million)
% 2.28/0.70  % (8377)------------------------------
% 2.28/0.70  % (8377)------------------------------
% 2.69/0.70  % (8391)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 (2998ds/90Mi)
% 2.69/0.71  % (8397)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.69/0.72  % (8369)Instruction limit reached!
% 2.69/0.72  % (8369)------------------------------
% 2.69/0.72  % (8369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.69/0.72  % (8369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.69/0.72  % (8369)Termination reason: Unknown
% 2.69/0.72  % (8369)Termination phase: Saturation
% 2.69/0.72  
% 2.69/0.72  % (8369)Memory used [KB]: 7675
% 2.69/0.72  % (8369)Time elapsed: 0.305 s
% 2.69/0.72  % (8369)Instructions burned: 101 (million)
% 2.69/0.72  % (8369)------------------------------
% 2.69/0.72  % (8369)------------------------------
% 2.69/0.72  % (8371)Instruction limit reached!
% 2.69/0.72  % (8371)------------------------------
% 2.69/0.72  % (8371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.69/0.72  % (8371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.69/0.72  % (8371)Termination reason: Unknown
% 2.69/0.72  % (8371)Termination phase: Saturation
% 2.69/0.72  
% 2.69/0.72  % (8371)Memory used [KB]: 7036
% 2.69/0.72  % (8371)Time elapsed: 0.338 s
% 2.69/0.72  % (8371)Instructions burned: 100 (million)
% 2.69/0.72  % (8371)------------------------------
% 2.69/0.72  % (8371)------------------------------
% 2.69/0.72  % (8374)Instruction limit reached!
% 2.69/0.72  % (8374)------------------------------
% 2.69/0.72  % (8374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.69/0.72  % (8374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.69/0.72  % (8374)Termination reason: Unknown
% 2.69/0.72  % (8374)Termination phase: Saturation
% 2.69/0.72  
% 2.69/0.72  % (8374)Memory used [KB]: 6268
% 2.69/0.72  % (8374)Time elapsed: 0.321 s
% 2.69/0.72  % (8374)Instructions burned: 100 (million)
% 2.69/0.72  % (8374)------------------------------
% 2.69/0.72  % (8374)------------------------------
% 2.69/0.73  % (8370)Instruction limit reached!
% 2.69/0.73  % (8370)------------------------------
% 2.69/0.73  % (8370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.69/0.73  % (8370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.69/0.73  % (8370)Termination reason: Unknown
% 2.69/0.73  % (8370)Termination phase: Saturation
% 2.69/0.73  
% 2.69/0.73  % (8370)Memory used [KB]: 7164
% 2.69/0.73  % (8370)Time elapsed: 0.345 s
% 2.69/0.73  % (8370)Instructions burned: 101 (million)
% 2.69/0.73  % (8370)------------------------------
% 2.69/0.73  % (8370)------------------------------
% 2.69/0.73  % (8376)Instruction limit reached!
% 2.69/0.73  % (8376)------------------------------
% 2.69/0.73  % (8376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.69/0.73  % (8376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.69/0.73  % (8376)Termination reason: Unknown
% 2.69/0.73  % (8376)Termination phase: Saturation
% 2.69/0.73  
% 2.69/0.73  % (8376)Memory used [KB]: 6908
% 2.69/0.73  % (8376)Time elapsed: 0.348 s
% 2.69/0.73  % (8376)Instructions burned: 101 (million)
% 2.69/0.73  % (8376)------------------------------
% 2.69/0.73  % (8376)------------------------------
% 2.69/0.73  % (8395)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.69/0.73  % (8393)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.69/0.73  % (8396)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 (2997ds/68Mi)
% 2.69/0.74  % (8394)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.69/0.74  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.69/0.74  % (8398)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.69/0.75  % (8400)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.69/0.75  % (8399)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)
% 2.69/0.75  TRYING [5]
% 3.00/0.79  % (8379)Instruction limit reached!
% 3.00/0.79  % (8379)------------------------------
% 3.00/0.79  % (8379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.79  % (8379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.79  % (8379)Termination reason: Unknown
% 3.00/0.79  % (8379)Termination phase: Saturation
% 3.00/0.79  
% 3.00/0.79  % (8379)Memory used [KB]: 7291
% 3.00/0.79  % (8379)Time elapsed: 0.404 s
% 3.00/0.79  % (8379)Instructions burned: 139 (million)
% 3.00/0.79  % (8379)------------------------------
% 3.00/0.79  % (8379)------------------------------
% 3.00/0.80  % (8401)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.00/0.81  % (8402)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 3.00/0.82  % (8378)Instruction limit reached!
% 3.00/0.82  % (8378)------------------------------
% 3.00/0.82  % (8378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.82  % (8378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.82  % (8378)Termination reason: Unknown
% 3.00/0.82  % (8378)Termination phase: Saturation
% 3.00/0.82  
% 3.00/0.82  % (8378)Memory used [KB]: 6524
% 3.00/0.82  % (8378)Time elapsed: 0.432 s
% 3.00/0.82  % (8378)Instructions burned: 179 (million)
% 3.00/0.82  % (8378)------------------------------
% 3.00/0.82  % (8378)------------------------------
% 3.00/0.83  % (8403)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 3.00/0.85  % (8385)Instruction limit reached!
% 3.00/0.85  % (8385)------------------------------
% 3.00/0.85  % (8385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.85  % (8385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.85  % (8385)Termination reason: Unknown
% 3.00/0.85  % (8385)Termination phase: Saturation
% 3.00/0.85  
% 3.00/0.85  % (8385)Memory used [KB]: 3709
% 3.00/0.85  % (8385)Time elapsed: 0.466 s
% 3.00/0.85  % (8385)Instructions burned: 177 (million)
% 3.00/0.85  % (8385)------------------------------
% 3.00/0.85  % (8385)------------------------------
% 3.41/0.86  % (8391)Instruction limit reached!
% 3.41/0.86  % (8391)------------------------------
% 3.41/0.86  % (8391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.41/0.86  % (8391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.41/0.86  % (8391)Termination reason: Unknown
% 3.41/0.86  % (8391)Termination phase: Saturation
% 3.41/0.86  
% 3.41/0.86  % (8391)Memory used [KB]: 6396
% 3.41/0.86  % (8391)Time elapsed: 0.287 s
% 3.41/0.86  % (8391)Instructions burned: 90 (million)
% 3.41/0.86  % (8391)------------------------------
% 3.41/0.86  % (8391)------------------------------
% 3.41/0.86  % (8404)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.41/0.86  % (8405)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 3.41/0.86  % (8406)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 (2996ds/68Mi)
% 3.41/0.87  % (8408)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.41/0.87  % (8396)Instruction limit reached!
% 3.41/0.87  % (8396)------------------------------
% 3.41/0.87  % (8396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.41/0.87  % (8396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.41/0.87  % (8396)Termination reason: Unknown
% 3.41/0.87  % (8396)Termination phase: Saturation
% 3.41/0.87  
% 3.41/0.87  % (8396)Memory used [KB]: 6652
% 3.41/0.87  % (8396)Time elapsed: 0.038 s
% 3.41/0.87  % (8396)Instructions burned: 68 (million)
% 3.41/0.87  % (8396)------------------------------
% 3.41/0.87  % (8396)------------------------------
% 3.41/0.87  % (8407)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.60/0.91  % (8399)Instruction limit reached!
% 3.60/0.91  % (8399)------------------------------
% 3.60/0.91  % (8399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.60/0.91  % (8399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.60/0.91  % (8399)Termination reason: Unknown
% 3.60/0.91  % (8399)Termination phase: Saturation
% 3.60/0.91  
% 3.60/0.91  % (8399)Memory used [KB]: 6396
% 3.60/0.91  % (8399)Time elapsed: 0.274 s
% 3.60/0.91  % (8399)Instructions burned: 90 (million)
% 3.60/0.91  % (8399)------------------------------
% 3.60/0.91  % (8399)------------------------------
% 3.60/0.93  % (8409)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.83/0.96  % (8410)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.83/0.97  % (8406)Instruction limit reached!
% 3.83/0.97  % (8406)------------------------------
% 3.83/0.97  % (8406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.83/0.97  % (8406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.83/0.97  % (8406)Termination reason: Unknown
% 3.83/0.97  % (8406)Termination phase: Saturation
% 3.83/0.97  
% 3.83/0.97  % (8406)Memory used [KB]: 6652
% 3.83/0.97  % (8406)Time elapsed: 0.035 s
% 3.83/0.97  % (8406)Instructions burned: 68 (million)
% 3.83/0.97  % (8406)------------------------------
% 3.83/0.97  % (8406)------------------------------
% 3.83/0.99  % (8411)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 (2994ds/90Mi)
% 3.83/0.99  % (8412)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 4.10/1.01  % (8413)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 4.10/1.02  % (8381)First to succeed.
% 4.10/1.03  % (8381)Refutation found. Thanks to Tanya!
% 4.10/1.03  % SZS status Theorem for theBenchmark
% 4.10/1.03  % SZS output start Proof for theBenchmark
% See solution above
% 4.10/1.03  % (8381)------------------------------
% 4.10/1.03  % (8381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.10/1.03  % (8381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.10/1.03  % (8381)Termination reason: Refutation
% 4.10/1.03  
% 4.10/1.03  % (8381)Memory used [KB]: 9083
% 4.10/1.03  % (8381)Time elapsed: 0.619 s
% 4.10/1.03  % (8381)Instructions burned: 263 (million)
% 4.10/1.03  % (8381)------------------------------
% 4.10/1.03  % (8381)------------------------------
% 4.10/1.03  % (8357)Success in time 0.68 s
%------------------------------------------------------------------------------