TSTP Solution File: RNG087+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG087+1 : 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 : n023.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 18:14:53 EDT 2022

% Result   : Theorem 0.11s 0.48s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   57 (   7 unt;   0 def)
%            Number of atoms       :  290 (  46 equ)
%            Maximal formula atoms :   20 (   5 avg)
%            Number of connectives :  361 ( 128   ~; 119   |;  84   &)
%                                         (  15 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   2 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-3 aty)
%            Number of variables   :  181 ( 141   !;  40   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f506,plain,
    $false,
    inference(avatar_sat_refutation,[],[f495,f505]) ).

fof(f505,plain,
    ~ spl11_13,
    inference(avatar_contradiction_clause,[],[f504]) ).

fof(f504,plain,
    ( $false
    | ~ spl11_13 ),
    inference(subsumption_resolution,[],[f503,f197]) ).

fof(f197,plain,
    aSet0(xI),
    inference(resolution,[],[f124,f140]) ).

fof(f140,plain,
    ! [X0] :
      ( aSet0(X0)
      | ~ aIdeal0(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0] :
      ( ~ aIdeal0(X0)
      | ( aSet0(X0)
        & ! [X1] :
            ( ~ aElementOf0(X1,X0)
            | ( ! [X2] :
                  ( aElementOf0(sdtasdt0(X2,X1),X0)
                  | ~ aElement0(X2) )
              & ! [X3] :
                  ( aElementOf0(sdtpldt0(X1,X3),X0)
                  | ~ aElementOf0(X3,X0) ) ) ) ) ),
    inference(rectify,[],[f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ aIdeal0(X0)
      | ( aSet0(X0)
        & ! [X1] :
            ( ~ aElementOf0(X1,X0)
            | ( ! [X3] :
                  ( aElementOf0(sdtasdt0(X3,X1),X0)
                  | ~ aElement0(X3) )
              & ! [X2] :
                  ( aElementOf0(sdtpldt0(X1,X2),X0)
                  | ~ aElementOf0(X2,X0) ) ) ) ) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( aIdeal0(X0)
     => ( aSet0(X0)
        & ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElementOf0(X2,X0)
                 => aElementOf0(sdtpldt0(X1,X2),X0) )
              & ! [X3] :
                  ( aElement0(X3)
                 => aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) ) ),
    inference(unused_predicate_definition_removal,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( aSet0(X0)
        & ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElementOf0(X2,X0)
                 => aElementOf0(sdtpldt0(X1,X2),X0) )
              & ! [X3] :
                  ( aElement0(X3)
                 => aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) ) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElementOf0(X2,X0)
                 => aElementOf0(sdtpldt0(X1,X2),X0) )
              & ! [X2] :
                  ( aElement0(X2)
                 => aElementOf0(sdtasdt0(X2,X1),X0) ) ) )
        & aSet0(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).

fof(f124,plain,
    aIdeal0(xI),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,axiom,
    ( aIdeal0(xJ)
    & aIdeal0(xI) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__870) ).

fof(f503,plain,
    ( ~ aSet0(xI)
    | ~ spl11_13 ),
    inference(subsumption_resolution,[],[f502,f200]) ).

fof(f200,plain,
    aSet0(xJ),
    inference(resolution,[],[f125,f140]) ).

fof(f125,plain,
    aIdeal0(xJ),
    inference(cnf_transformation,[],[f25]) ).

fof(f502,plain,
    ( ~ aSet0(xJ)
    | ~ aSet0(xI)
    | ~ spl11_13 ),
    inference(resolution,[],[f501,f157]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( sP1(X0,X1)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ~ aSet0(X0)
      | ~ aSet0(X1)
      | sP1(X0,X1) ),
    inference(rectify,[],[f73]) ).

fof(f73,plain,
    ! [X1,X0] :
      ( ~ aSet0(X1)
      | ~ aSet0(X0)
      | sP1(X1,X0) ),
    inference(definition_folding,[],[f57,f72,f71]) ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( sP0(X2,X0,X1)
    <=> ( ! [X3] :
            ( ? [X5,X4] :
                ( aElementOf0(X4,X0)
                & sdtpldt0(X5,X4) = X3
                & aElementOf0(X5,X1) )
          <=> aElementOf0(X3,X2) )
        & aSet0(X2) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f72,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( sdtpldt1(X1,X0) = X2
        <=> sP0(X2,X0,X1) )
      | ~ sP1(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f57,plain,
    ! [X1,X0] :
      ( ~ aSet0(X1)
      | ~ aSet0(X0)
      | ! [X2] :
          ( sdtpldt1(X1,X0) = X2
        <=> ( ! [X3] :
                ( ? [X5,X4] :
                    ( aElementOf0(X4,X0)
                    & sdtpldt0(X5,X4) = X3
                    & aElementOf0(X5,X1) )
              <=> aElementOf0(X3,X2) )
            & aSet0(X2) ) ) ),
    inference(flattening,[],[f56]) ).

fof(f56,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( sdtpldt1(X1,X0) = X2
        <=> ( ! [X3] :
                ( ? [X5,X4] :
                    ( aElementOf0(X4,X0)
                    & sdtpldt0(X5,X4) = X3
                    & aElementOf0(X5,X1) )
              <=> aElementOf0(X3,X2) )
            & aSet0(X2) ) )
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X1,X0] :
      ( ( aSet0(X1)
        & aSet0(X0) )
     => ! [X2] :
          ( sdtpldt1(X1,X0) = X2
        <=> ( ! [X3] :
                ( ? [X5,X4] :
                    ( aElementOf0(X4,X0)
                    & sdtpldt0(X5,X4) = X3
                    & aElementOf0(X5,X1) )
              <=> aElementOf0(X3,X2) )
            & aSet0(X2) ) ) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X1,X0] :
      ( ( aSet0(X0)
        & aSet0(X1) )
     => ! [X2] :
          ( ( ! [X3] :
                ( ? [X5,X4] :
                    ( sdtpldt0(X4,X5) = X3
                    & aElementOf0(X4,X0)
                    & aElementOf0(X5,X1) )
              <=> aElementOf0(X3,X2) )
            & aSet0(X2) )
        <=> sdtpldt1(X0,X1) = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSSum) ).

fof(f501,plain,
    ( ~ sP1(xI,xJ)
    | ~ spl11_13 ),
    inference(subsumption_resolution,[],[f500,f131]) ).

fof(f131,plain,
    aElementOf0(xy,sdtpldt1(xI,xJ)),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,axiom,
    ( aElementOf0(xy,sdtpldt1(xI,xJ))
    & aElement0(xz)
    & aElementOf0(xx,sdtpldt1(xI,xJ)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__901) ).

fof(f500,plain,
    ( ~ sP1(xI,xJ)
    | ~ aElementOf0(xy,sdtpldt1(xI,xJ))
    | ~ spl11_13 ),
    inference(resolution,[],[f494,f162]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ~ sP1(X0,X1)
      | sP0(sdtpldt1(X0,X1),X1,X0) ),
    inference(equality_resolution,[],[f146]) ).

fof(f146,plain,
    ! [X2,X0,X1] :
      ( sP0(X2,X1,X0)
      | sdtpldt1(X0,X1) != X2
      | ~ sP1(X0,X1) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtpldt1(X0,X1) = X2
            | ~ sP0(X2,X1,X0) )
          & ( sP0(X2,X1,X0)
            | sdtpldt1(X0,X1) != X2 ) )
      | ~ sP1(X0,X1) ),
    inference(rectify,[],[f89]) ).

fof(f89,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ( sdtpldt1(X1,X0) = X2
            | ~ sP0(X2,X0,X1) )
          & ( sP0(X2,X0,X1)
            | sdtpldt1(X1,X0) != X2 ) )
      | ~ sP1(X1,X0) ),
    inference(nnf_transformation,[],[f72]) ).

fof(f494,plain,
    ( ! [X2] :
        ( ~ sP0(X2,xJ,xI)
        | ~ aElementOf0(xy,X2) )
    | ~ spl11_13 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f493,plain,
    ( spl11_13
  <=> ! [X2] :
        ( ~ sP0(X2,xJ,xI)
        | ~ aElementOf0(xy,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).

fof(f495,plain,
    ( spl11_13
    | spl11_13
    | spl11_13 ),
    inference(avatar_split_clause,[],[f489,f493,f493,f493]) ).

fof(f489,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X0,xJ,xI)
      | ~ aElementOf0(xy,X1)
      | ~ aElementOf0(xy,X0)
      | ~ sP0(X1,xJ,xI)
      | ~ sP0(X2,xJ,xI)
      | ~ aElementOf0(xy,X2) ),
    inference(resolution,[],[f486,f150]) ).

fof(f150,plain,
    ! [X2,X0,X1,X8] :
      ( ~ sP0(X0,X1,X2)
      | aElementOf0(sK8(X1,X2,X8),X2)
      | ~ aElementOf0(X8,X0) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ( ( ~ aElementOf0(sK5(X0,X1,X2),X0)
            | ! [X4,X5] :
                ( ~ aElementOf0(X5,X1)
                | sdtpldt0(X4,X5) != sK5(X0,X1,X2)
                | ~ aElementOf0(X4,X2) ) )
          & ( aElementOf0(sK5(X0,X1,X2),X0)
            | ( aElementOf0(sK7(X0,X1,X2),X1)
              & sdtpldt0(sK6(X0,X1,X2),sK7(X0,X1,X2)) = sK5(X0,X1,X2)
              & aElementOf0(sK6(X0,X1,X2),X2) ) ) )
        | ~ aSet0(X0) )
      & ( ( ! [X8] :
              ( ( ( aElementOf0(sK9(X1,X2,X8),X1)
                  & sdtpldt0(sK8(X1,X2,X8),sK9(X1,X2,X8)) = X8
                  & aElementOf0(sK8(X1,X2,X8),X2) )
                | ~ aElementOf0(X8,X0) )
              & ( aElementOf0(X8,X0)
                | ! [X11,X12] :
                    ( ~ aElementOf0(X12,X1)
                    | sdtpldt0(X11,X12) != X8
                    | ~ aElementOf0(X11,X2) ) ) )
          & aSet0(X0) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9])],[f93,f96,f95,f94]) ).

fof(f94,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ aElementOf0(X3,X0)
            | ! [X4,X5] :
                ( ~ aElementOf0(X5,X1)
                | sdtpldt0(X4,X5) != X3
                | ~ aElementOf0(X4,X2) ) )
          & ( aElementOf0(X3,X0)
            | ? [X6,X7] :
                ( aElementOf0(X7,X1)
                & sdtpldt0(X6,X7) = X3
                & aElementOf0(X6,X2) ) ) )
     => ( ( ~ aElementOf0(sK5(X0,X1,X2),X0)
          | ! [X5,X4] :
              ( ~ aElementOf0(X5,X1)
              | sdtpldt0(X4,X5) != sK5(X0,X1,X2)
              | ~ aElementOf0(X4,X2) ) )
        & ( aElementOf0(sK5(X0,X1,X2),X0)
          | ? [X7,X6] :
              ( aElementOf0(X7,X1)
              & sK5(X0,X1,X2) = sdtpldt0(X6,X7)
              & aElementOf0(X6,X2) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f95,plain,
    ! [X0,X1,X2] :
      ( ? [X7,X6] :
          ( aElementOf0(X7,X1)
          & sK5(X0,X1,X2) = sdtpldt0(X6,X7)
          & aElementOf0(X6,X2) )
     => ( aElementOf0(sK7(X0,X1,X2),X1)
        & sdtpldt0(sK6(X0,X1,X2),sK7(X0,X1,X2)) = sK5(X0,X1,X2)
        & aElementOf0(sK6(X0,X1,X2),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f96,plain,
    ! [X1,X2,X8] :
      ( ? [X9,X10] :
          ( aElementOf0(X10,X1)
          & sdtpldt0(X9,X10) = X8
          & aElementOf0(X9,X2) )
     => ( aElementOf0(sK9(X1,X2,X8),X1)
        & sdtpldt0(sK8(X1,X2,X8),sK9(X1,X2,X8)) = X8
        & aElementOf0(sK8(X1,X2,X8),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f93,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ? [X3] :
            ( ( ~ aElementOf0(X3,X0)
              | ! [X4,X5] :
                  ( ~ aElementOf0(X5,X1)
                  | sdtpldt0(X4,X5) != X3
                  | ~ aElementOf0(X4,X2) ) )
            & ( aElementOf0(X3,X0)
              | ? [X6,X7] :
                  ( aElementOf0(X7,X1)
                  & sdtpldt0(X6,X7) = X3
                  & aElementOf0(X6,X2) ) ) )
        | ~ aSet0(X0) )
      & ( ( ! [X8] :
              ( ( ? [X9,X10] :
                    ( aElementOf0(X10,X1)
                    & sdtpldt0(X9,X10) = X8
                    & aElementOf0(X9,X2) )
                | ~ aElementOf0(X8,X0) )
              & ( aElementOf0(X8,X0)
                | ! [X11,X12] :
                    ( ~ aElementOf0(X12,X1)
                    | sdtpldt0(X11,X12) != X8
                    | ~ aElementOf0(X11,X2) ) ) )
          & aSet0(X0) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f92]) ).

fof(f92,plain,
    ! [X2,X0,X1] :
      ( ( sP0(X2,X0,X1)
        | ? [X3] :
            ( ( ~ aElementOf0(X3,X2)
              | ! [X5,X4] :
                  ( ~ aElementOf0(X4,X0)
                  | sdtpldt0(X5,X4) != X3
                  | ~ aElementOf0(X5,X1) ) )
            & ( aElementOf0(X3,X2)
              | ? [X5,X4] :
                  ( aElementOf0(X4,X0)
                  & sdtpldt0(X5,X4) = X3
                  & aElementOf0(X5,X1) ) ) )
        | ~ aSet0(X2) )
      & ( ( ! [X3] :
              ( ( ? [X5,X4] :
                    ( aElementOf0(X4,X0)
                    & sdtpldt0(X5,X4) = X3
                    & aElementOf0(X5,X1) )
                | ~ aElementOf0(X3,X2) )
              & ( aElementOf0(X3,X2)
                | ! [X5,X4] :
                    ( ~ aElementOf0(X4,X0)
                    | sdtpldt0(X5,X4) != X3
                    | ~ aElementOf0(X5,X1) ) ) )
          & aSet0(X2) )
        | ~ sP0(X2,X0,X1) ) ),
    inference(flattening,[],[f91]) ).

fof(f91,plain,
    ! [X2,X0,X1] :
      ( ( sP0(X2,X0,X1)
        | ? [X3] :
            ( ( ~ aElementOf0(X3,X2)
              | ! [X5,X4] :
                  ( ~ aElementOf0(X4,X0)
                  | sdtpldt0(X5,X4) != X3
                  | ~ aElementOf0(X5,X1) ) )
            & ( aElementOf0(X3,X2)
              | ? [X5,X4] :
                  ( aElementOf0(X4,X0)
                  & sdtpldt0(X5,X4) = X3
                  & aElementOf0(X5,X1) ) ) )
        | ~ aSet0(X2) )
      & ( ( ! [X3] :
              ( ( ? [X5,X4] :
                    ( aElementOf0(X4,X0)
                    & sdtpldt0(X5,X4) = X3
                    & aElementOf0(X5,X1) )
                | ~ aElementOf0(X3,X2) )
              & ( aElementOf0(X3,X2)
                | ! [X5,X4] :
                    ( ~ aElementOf0(X4,X0)
                    | sdtpldt0(X5,X4) != X3
                    | ~ aElementOf0(X5,X1) ) ) )
          & aSet0(X2) )
        | ~ sP0(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f71]) ).

fof(f486,plain,
    ! [X2,X0,X1] :
      ( ~ aElementOf0(sK8(xJ,X0,xy),xI)
      | ~ sP0(X2,xJ,X0)
      | ~ sP0(X1,xJ,X0)
      | ~ aElementOf0(xy,X2)
      | ~ aElementOf0(xy,X1) ),
    inference(resolution,[],[f436,f152]) ).

fof(f152,plain,
    ! [X2,X0,X1,X8] :
      ( ~ sP0(X0,X1,X2)
      | ~ aElementOf0(X8,X0)
      | aElementOf0(sK9(X1,X2,X8),X1) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f436,plain,
    ! [X2,X0,X1] :
      ( ~ aElementOf0(sK9(X0,X1,xy),xJ)
      | ~ aElementOf0(sK8(X0,X1,xy),xI)
      | ~ sP0(X2,X0,X1)
      | ~ aElementOf0(xy,X2) ),
    inference(resolution,[],[f178,f195]) ).

fof(f195,plain,
    ! [X2,X0,X1,X8] :
      ( sQ10_eqProxy(sdtpldt0(sK8(X1,X2,X8),sK9(X1,X2,X8)),X8)
      | ~ sP0(X0,X1,X2)
      | ~ aElementOf0(X8,X0) ),
    inference(equality_proxy_replacement,[],[f151,f164]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( sQ10_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ10_eqProxy])]) ).

fof(f151,plain,
    ! [X2,X0,X1,X8] :
      ( sdtpldt0(sK8(X1,X2,X8),sK9(X1,X2,X8)) = X8
      | ~ aElementOf0(X8,X0)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f178,plain,
    ! [X0,X1] :
      ( ~ sQ10_eqProxy(sdtpldt0(X1,X0),xy)
      | ~ aElementOf0(X0,xJ)
      | ~ aElementOf0(X1,xI) ),
    inference(equality_proxy_replacement,[],[f118,f164]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,xI)
      | ~ aElementOf0(X0,xJ)
      | sdtpldt0(X1,X0) != xy ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,xI)
      | ~ aElementOf0(X0,xJ)
      | sdtpldt0(X1,X0) != xy ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ~ ? [X1,X0] :
        ( aElementOf0(X0,xJ)
        & aElementOf0(X1,xI)
        & sdtpldt0(X1,X0) = xy ),
    inference(rectify,[],[f29]) ).

fof(f29,negated_conjecture,
    ~ ? [X1,X0] :
        ( sdtpldt0(X0,X1) = xy
        & aElementOf0(X1,xJ)
        & aElementOf0(X0,xI) ),
    inference(negated_conjecture,[],[f28]) ).

fof(f28,conjecture,
    ? [X1,X0] :
      ( sdtpldt0(X0,X1) = xy
      & aElementOf0(X1,xJ)
      & aElementOf0(X0,xI) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07  % Problem    : RNG087+1 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.07  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.07/0.26  % Computer : n023.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit   : 300
% 0.07/0.26  % WCLimit    : 300
% 0.07/0.26  % DateTime   : Tue Aug 30 12:24:19 EDT 2022
% 0.10/0.26  % CPUTime    : 
% 0.11/0.43  % (19908)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.11/0.44  % (19888)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.11/0.45  % (19902)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)
% 0.11/0.45  % (19908)Instruction limit reached!
% 0.11/0.45  % (19908)------------------------------
% 0.11/0.45  % (19908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.45  % (19908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.45  % (19908)Termination reason: Unknown
% 0.11/0.45  % (19908)Termination phase: Saturation
% 0.11/0.45  
% 0.11/0.45  % (19908)Memory used [KB]: 6396
% 0.11/0.45  % (19908)Time elapsed: 0.132 s
% 0.11/0.45  % (19908)Instructions burned: 25 (million)
% 0.11/0.45  % (19908)------------------------------
% 0.11/0.45  % (19908)------------------------------
% 0.11/0.45  % (19906)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)
% 0.11/0.45  % (19884)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.11/0.45  % (19896)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.11/0.45  % (19887)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.11/0.45  % (19907)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.11/0.45  % (19904)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.11/0.46  % (19885)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.11/0.46  % (19910)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)
% 0.11/0.46  % (19901)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.11/0.46  % (19882)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.11/0.46  % (19903)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.11/0.46  % (19891)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)
% 0.11/0.46  % (19909)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.11/0.46  % (19893)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.11/0.46  % (19905)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)
% 0.11/0.47  % (19891)First to succeed.
% 0.11/0.47  % (19898)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.11/0.47  % (19881)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.11/0.47  % (19895)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.11/0.47  % (19898)Instruction limit reached!
% 0.11/0.47  % (19898)------------------------------
% 0.11/0.47  % (19898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.47  % (19898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.47  % (19898)Termination reason: Unknown
% 0.11/0.47  % (19898)Termination phase: Finite model building preprocessing
% 0.11/0.47  
% 0.11/0.47  % (19898)Memory used [KB]: 1535
% 0.11/0.47  % (19898)Time elapsed: 0.004 s
% 0.11/0.47  % (19898)Instructions burned: 4 (million)
% 0.11/0.47  % (19898)------------------------------
% 0.11/0.47  % (19898)------------------------------
% 0.11/0.47  % (19895)Instruction limit reached!
% 0.11/0.47  % (19895)------------------------------
% 0.11/0.47  % (19895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.47  % (19895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.47  % (19895)Termination reason: Unknown
% 0.11/0.47  % (19895)Termination phase: Saturation
% 0.11/0.47  
% 0.11/0.47  % (19895)Memory used [KB]: 6012
% 0.11/0.47  % (19895)Time elapsed: 0.003 s
% 0.11/0.47  % (19895)Instructions burned: 3 (million)
% 0.11/0.47  % (19895)------------------------------
% 0.11/0.47  % (19895)------------------------------
% 0.11/0.47  % (19900)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)
% 0.11/0.47  % (19896)Instruction limit reached!
% 0.11/0.47  % (19896)------------------------------
% 0.11/0.47  % (19896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.47  % (19896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.47  % (19896)Termination reason: Unknown
% 0.11/0.47  % (19896)Termination phase: Saturation
% 0.11/0.47  
% 0.11/0.47  % (19896)Memory used [KB]: 6140
% 0.11/0.47  % (19896)Time elapsed: 0.145 s
% 0.11/0.47  % (19896)Instructions burned: 7 (million)
% 0.11/0.47  % (19896)------------------------------
% 0.11/0.47  % (19896)------------------------------
% 0.11/0.48  % (19897)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)
% 0.11/0.48  % (19886)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)
% 0.11/0.48  % (19901)Also succeeded, but the first one will report.
% 0.11/0.48  % (19891)Refutation found. Thanks to Tanya!
% 0.11/0.48  % SZS status Theorem for theBenchmark
% 0.11/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.48  % (19891)------------------------------
% 0.11/0.48  % (19891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.48  % (19891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.48  % (19891)Termination reason: Refutation
% 0.11/0.48  
% 0.11/0.48  % (19891)Memory used [KB]: 6140
% 0.11/0.48  % (19891)Time elapsed: 0.155 s
% 0.11/0.48  % (19891)Instructions burned: 7 (million)
% 0.11/0.48  % (19891)------------------------------
% 0.11/0.48  % (19891)------------------------------
% 0.11/0.48  % (19880)Success in time 0.215 s
%------------------------------------------------------------------------------