TSTP Solution File: SEU135+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU135+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n007.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 18:26:49 EDT 2022

% Result   : Theorem 1.75s 0.59s
% Output   : Refutation 1.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   62 (   8 unt;   0 def)
%            Number of atoms       :  263 (  36 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  322 ( 121   ~; 137   |;  50   &)
%                                         (  11 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :  125 ( 113   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f660,plain,
    $false,
    inference(avatar_sat_refutation,[],[f558,f575,f637,f659]) ).

fof(f659,plain,
    ( spl13_9
    | ~ spl13_10 ),
    inference(avatar_contradiction_clause,[],[f658]) ).

fof(f658,plain,
    ( $false
    | spl13_9
    | ~ spl13_10 ),
    inference(subsumption_resolution,[],[f654,f553]) ).

fof(f553,plain,
    ( ~ in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),sK5)
    | spl13_9 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f551,plain,
    ( spl13_9
  <=> in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).

fof(f654,plain,
    ( in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),sK5)
    | ~ spl13_10 ),
    inference(resolution,[],[f642,f227]) ).

fof(f227,plain,
    ! [X2,X0,X4] :
      ( ~ in(X4,set_difference(X2,X0))
      | in(X4,X2) ),
    inference(equality_resolution,[],[f157]) ).

fof(f157,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(X4,X1)
      | set_difference(X2,X0) != X1 ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X2,X0) = X1
        | ( ( ~ in(sK0(X0,X1,X2),X2)
            | in(sK0(X0,X1,X2),X0)
            | ~ in(sK0(X0,X1,X2),X1) )
          & ( ( in(sK0(X0,X1,X2),X2)
              & ~ in(sK0(X0,X1,X2),X0) )
            | in(sK0(X0,X1,X2),X1) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X1)
              | ~ in(X4,X2)
              | in(X4,X0) )
            & ( ( in(X4,X2)
                & ~ in(X4,X0) )
              | ~ in(X4,X1) ) )
        | set_difference(X2,X0) != X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f100,f101]) ).

fof(f101,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ in(X3,X2)
            | in(X3,X0)
            | ~ in(X3,X1) )
          & ( ( in(X3,X2)
              & ~ in(X3,X0) )
            | in(X3,X1) ) )
     => ( ( ~ in(sK0(X0,X1,X2),X2)
          | in(sK0(X0,X1,X2),X0)
          | ~ in(sK0(X0,X1,X2),X1) )
        & ( ( in(sK0(X0,X1,X2),X2)
            & ~ in(sK0(X0,X1,X2),X0) )
          | in(sK0(X0,X1,X2),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X2,X0) = X1
        | ? [X3] :
            ( ( ~ in(X3,X2)
              | in(X3,X0)
              | ~ in(X3,X1) )
            & ( ( in(X3,X2)
                & ~ in(X3,X0) )
              | in(X3,X1) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X1)
              | ~ in(X4,X2)
              | in(X4,X0) )
            & ( ( in(X4,X2)
                & ~ in(X4,X0) )
              | ~ in(X4,X1) ) )
        | set_difference(X2,X0) != X1 ) ),
    inference(rectify,[],[f99]) ).

fof(f99,plain,
    ! [X2,X0,X1] :
      ( ( set_difference(X1,X2) = X0
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | in(X3,X2)
              | ~ in(X3,X0) )
            & ( ( in(X3,X1)
                & ~ in(X3,X2) )
              | in(X3,X0) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X0)
              | ~ in(X3,X1)
              | in(X3,X2) )
            & ( ( in(X3,X1)
                & ~ in(X3,X2) )
              | ~ in(X3,X0) ) )
        | set_difference(X1,X2) != X0 ) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ! [X2,X0,X1] :
      ( ( set_difference(X1,X2) = X0
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | in(X3,X2)
              | ~ in(X3,X0) )
            & ( ( in(X3,X1)
                & ~ in(X3,X2) )
              | in(X3,X0) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X0)
              | ~ in(X3,X1)
              | in(X3,X2) )
            & ( ( in(X3,X1)
                & ~ in(X3,X2) )
              | ~ in(X3,X0) ) )
        | set_difference(X1,X2) != X0 ) ),
    inference(nnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( set_difference(X1,X2) = X0
    <=> ! [X3] :
          ( in(X3,X0)
        <=> ( in(X3,X1)
            & ~ in(X3,X2) ) ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X2,X0,X1] :
      ( set_difference(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X0)
            & ~ in(X3,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).

fof(f642,plain,
    ( in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),set_difference(sK5,sK4))
    | ~ spl13_10 ),
    inference(subsumption_resolution,[],[f638,f561]) ).

fof(f561,plain,
    ~ in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),sK4),
    inference(subsumption_resolution,[],[f559,f230]) ).

fof(f230,plain,
    ! [X2,X1,X4] :
      ( in(X4,set_union2(X1,X2))
      | ~ in(X4,X1) ),
    inference(equality_resolution,[],[f187]) ).

fof(f187,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,X1)
      | set_union2(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X1,X2) = X0
        | ( ( ( ~ in(sK6(X0,X1,X2),X2)
              & ~ in(sK6(X0,X1,X2),X1) )
            | ~ in(sK6(X0,X1,X2),X0) )
          & ( in(sK6(X0,X1,X2),X2)
            | in(sK6(X0,X1,X2),X1)
            | in(sK6(X0,X1,X2),X0) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X0)
              | ( ~ in(X4,X2)
                & ~ in(X4,X1) ) )
            & ( in(X4,X2)
              | in(X4,X1)
              | ~ in(X4,X0) ) )
        | set_union2(X1,X2) != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f124,f125]) ).

fof(f125,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ( ~ in(X3,X2)
              & ~ in(X3,X1) )
            | ~ in(X3,X0) )
          & ( in(X3,X2)
            | in(X3,X1)
            | in(X3,X0) ) )
     => ( ( ( ~ in(sK6(X0,X1,X2),X2)
            & ~ in(sK6(X0,X1,X2),X1) )
          | ~ in(sK6(X0,X1,X2),X0) )
        & ( in(sK6(X0,X1,X2),X2)
          | in(sK6(X0,X1,X2),X1)
          | in(sK6(X0,X1,X2),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f124,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X1,X2) = X0
        | ? [X3] :
            ( ( ( ~ in(X3,X2)
                & ~ in(X3,X1) )
              | ~ in(X3,X0) )
            & ( in(X3,X2)
              | in(X3,X1)
              | in(X3,X0) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X0)
              | ( ~ in(X4,X2)
                & ~ in(X4,X1) ) )
            & ( in(X4,X2)
              | in(X4,X1)
              | ~ in(X4,X0) ) )
        | set_union2(X1,X2) != X0 ) ),
    inference(rectify,[],[f123]) ).

fof(f123,plain,
    ! [X0,X2,X1] :
      ( ( set_union2(X2,X1) = X0
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X2) )
              | ~ in(X3,X0) )
            & ( in(X3,X1)
              | in(X3,X2)
              | in(X3,X0) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X0)
              | ( ~ in(X3,X1)
                & ~ in(X3,X2) ) )
            & ( in(X3,X1)
              | in(X3,X2)
              | ~ in(X3,X0) ) )
        | set_union2(X2,X1) != X0 ) ),
    inference(flattening,[],[f122]) ).

fof(f122,plain,
    ! [X0,X2,X1] :
      ( ( set_union2(X2,X1) = X0
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X2) )
              | ~ in(X3,X0) )
            & ( in(X3,X1)
              | in(X3,X2)
              | in(X3,X0) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X0)
              | ( ~ in(X3,X1)
                & ~ in(X3,X2) ) )
            & ( in(X3,X1)
              | in(X3,X2)
              | ~ in(X3,X0) ) )
        | set_union2(X2,X1) != X0 ) ),
    inference(nnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X2,X1] :
      ( set_union2(X2,X1) = X0
    <=> ! [X3] :
          ( in(X3,X0)
        <=> ( in(X3,X1)
            | in(X3,X2) ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X2,X1,X0] :
      ( set_union2(X0,X1) = X2
    <=> ! [X3] :
          ( ( in(X3,X0)
            | in(X3,X1) )
        <=> in(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).

fof(f559,plain,
    ( ~ in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),sK4)
    | ~ in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),set_union2(sK4,set_difference(sK5,sK4))) ),
    inference(resolution,[],[f255,f252]) ).

fof(f252,plain,
    ~ sQ12_eqProxy(set_union2(sK4,sK5),set_union2(sK4,set_difference(sK5,sK4))),
    inference(equality_proxy_replacement,[],[f180,f238]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( sQ12_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ12_eqProxy])]) ).

fof(f180,plain,
    set_union2(sK4,sK5) != set_union2(sK4,set_difference(sK5,sK4)),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    set_union2(sK4,sK5) != set_union2(sK4,set_difference(sK5,sK4)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f78,f118]) ).

fof(f118,plain,
    ( ? [X0,X1] : set_union2(X0,X1) != set_union2(X0,set_difference(X1,X0))
   => set_union2(sK4,sK5) != set_union2(sK4,set_difference(sK5,sK4)) ),
    introduced(choice_axiom,[]) ).

fof(f78,plain,
    ? [X0,X1] : set_union2(X0,X1) != set_union2(X0,set_difference(X1,X0)),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,negated_conjecture,
    ~ ! [X1,X0] : set_union2(X0,X1) = set_union2(X0,set_difference(X1,X0)),
    inference(negated_conjecture,[],[f38]) ).

fof(f38,conjecture,
    ! [X1,X0] : set_union2(X0,X1) = set_union2(X0,set_difference(X1,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).

fof(f255,plain,
    ! [X2,X0,X1] :
      ( sQ12_eqProxy(set_union2(X1,X2),X0)
      | ~ in(sK6(X0,X1,X2),X0)
      | ~ in(sK6(X0,X1,X2),X1) ),
    inference(equality_proxy_replacement,[],[f190,f238]) ).

fof(f190,plain,
    ! [X2,X0,X1] :
      ( set_union2(X1,X2) = X0
      | ~ in(sK6(X0,X1,X2),X1)
      | ~ in(sK6(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f638,plain,
    ( in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),sK4)
    | in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),set_difference(sK5,sK4))
    | ~ spl13_10 ),
    inference(resolution,[],[f556,f231]) ).

fof(f231,plain,
    ! [X2,X1,X4] :
      ( ~ in(X4,set_union2(X1,X2))
      | in(X4,X2)
      | in(X4,X1) ),
    inference(equality_resolution,[],[f186]) ).

fof(f186,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | in(X4,X1)
      | ~ in(X4,X0)
      | set_union2(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f126]) ).

fof(f556,plain,
    ( in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),set_union2(sK4,set_difference(sK5,sK4)))
    | ~ spl13_10 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f555,plain,
    ( spl13_10
  <=> in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),set_union2(sK4,set_difference(sK5,sK4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).

fof(f637,plain,
    ( ~ spl13_9
    | spl13_10 ),
    inference(avatar_contradiction_clause,[],[f636]) ).

fof(f636,plain,
    ( $false
    | ~ spl13_9
    | spl13_10 ),
    inference(subsumption_resolution,[],[f635,f561]) ).

fof(f635,plain,
    ( in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),sK4)
    | ~ spl13_9
    | spl13_10 ),
    inference(subsumption_resolution,[],[f634,f552]) ).

fof(f552,plain,
    ( in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),sK5)
    | ~ spl13_9 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f634,plain,
    ( ~ in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),sK5)
    | in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),sK4)
    | spl13_10 ),
    inference(resolution,[],[f586,f226]) ).

fof(f226,plain,
    ! [X2,X0,X4] :
      ( in(X4,set_difference(X2,X0))
      | ~ in(X4,X2)
      | in(X4,X0) ),
    inference(equality_resolution,[],[f158]) ).

fof(f158,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X1)
      | ~ in(X4,X2)
      | in(X4,X0)
      | set_difference(X2,X0) != X1 ),
    inference(cnf_transformation,[],[f102]) ).

fof(f586,plain,
    ( ~ in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),set_difference(sK5,sK4))
    | spl13_10 ),
    inference(resolution,[],[f557,f229]) ).

fof(f229,plain,
    ! [X2,X1,X4] :
      ( in(X4,set_union2(X1,X2))
      | ~ in(X4,X2) ),
    inference(equality_resolution,[],[f188]) ).

fof(f188,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,X2)
      | set_union2(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f126]) ).

fof(f557,plain,
    ( ~ in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),set_union2(sK4,set_difference(sK5,sK4)))
    | spl13_10 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f575,plain,
    ( spl13_9
    | spl13_10 ),
    inference(avatar_split_clause,[],[f574,f555,f551]) ).

fof(f574,plain,
    ( in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),set_union2(sK4,set_difference(sK5,sK4)))
    | in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),sK5) ),
    inference(subsumption_resolution,[],[f569,f230]) ).

fof(f569,plain,
    ( in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),sK5)
    | in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),sK4)
    | in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),set_union2(sK4,set_difference(sK5,sK4))) ),
    inference(resolution,[],[f256,f252]) ).

fof(f256,plain,
    ! [X2,X0,X1] :
      ( sQ12_eqProxy(set_union2(X1,X2),X0)
      | in(sK6(X0,X1,X2),X1)
      | in(sK6(X0,X1,X2),X2)
      | in(sK6(X0,X1,X2),X0) ),
    inference(equality_proxy_replacement,[],[f189,f238]) ).

fof(f189,plain,
    ! [X2,X0,X1] :
      ( set_union2(X1,X2) = X0
      | in(sK6(X0,X1,X2),X2)
      | in(sK6(X0,X1,X2),X1)
      | in(sK6(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f558,plain,
    ( ~ spl13_9
    | ~ spl13_10 ),
    inference(avatar_split_clause,[],[f548,f555,f551]) ).

fof(f548,plain,
    ( ~ in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),set_union2(sK4,set_difference(sK5,sK4)))
    | ~ in(sK6(set_union2(sK4,set_difference(sK5,sK4)),sK4,sK5),sK5) ),
    inference(resolution,[],[f254,f252]) ).

fof(f254,plain,
    ! [X2,X0,X1] :
      ( sQ12_eqProxy(set_union2(X1,X2),X0)
      | ~ in(sK6(X0,X1,X2),X2)
      | ~ in(sK6(X0,X1,X2),X0) ),
    inference(equality_proxy_replacement,[],[f191,f238]) ).

fof(f191,plain,
    ! [X2,X0,X1] :
      ( set_union2(X1,X2) = X0
      | ~ in(sK6(X0,X1,X2),X2)
      | ~ in(sK6(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f126]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SEU135+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 14:28:31 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (10678)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)
% 0.19/0.50  % (10679)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)
% 0.19/0.50  % (10683)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)
% 0.19/0.50  % (10686)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)
% 0.19/0.50  % (10675)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50  % (10680)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)
% 0.19/0.51  % (10693)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)
% 0.19/0.51  % (10687)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)
% 0.19/0.51  % (10693)Instruction limit reached!
% 0.19/0.51  % (10693)------------------------------
% 0.19/0.51  % (10693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (10693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (10693)Termination reason: Unknown
% 0.19/0.51  % (10693)Termination phase: Preprocessing 3
% 0.19/0.51  
% 0.19/0.51  % (10693)Memory used [KB]: 1407
% 0.19/0.51  % (10693)Time elapsed: 0.002 s
% 0.19/0.51  % (10693)Instructions burned: 2 (million)
% 0.19/0.51  % (10693)------------------------------
% 0.19/0.51  % (10693)------------------------------
% 0.19/0.51  % (10688)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)
% 0.19/0.51  % (10702)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)
% 0.19/0.51  % (10697)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)
% 0.19/0.51  % (10686)Instruction limit reached!
% 0.19/0.51  % (10686)------------------------------
% 0.19/0.51  % (10686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (10686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (10686)Termination reason: Unknown
% 0.19/0.51  % (10686)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (10686)Memory used [KB]: 6140
% 0.19/0.51  % (10686)Time elapsed: 0.120 s
% 0.19/0.51  % (10686)Instructions burned: 8 (million)
% 0.19/0.51  % (10686)------------------------------
% 0.19/0.51  % (10686)------------------------------
% 0.19/0.51  % (10690)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)
% 0.19/0.51  % (10677)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (10700)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)
% 0.19/0.53  % (10677)Instruction limit reached!
% 0.19/0.53  % (10677)------------------------------
% 0.19/0.53  % (10677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (10677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (10677)Termination reason: Unknown
% 0.19/0.53  % (10677)Termination phase: shuffling
% 0.19/0.53  
% 0.19/0.53  % (10677)Memory used [KB]: 1535
% 0.19/0.53  % (10677)Time elapsed: 0.003 s
% 0.19/0.53  % (10677)Instructions burned: 3 (million)
% 0.19/0.53  % (10677)------------------------------
% 0.19/0.53  % (10677)------------------------------
% 0.19/0.53  % (10698)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)
% 0.19/0.53  % (10701)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)
% 0.19/0.53  % (10695)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)
% 0.19/0.53  % (10704)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)
% 0.19/0.53  % (10687)Instruction limit reached!
% 0.19/0.53  % (10687)------------------------------
% 0.19/0.53  % (10687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (10687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (10687)Termination reason: Unknown
% 0.19/0.53  % (10687)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (10687)Memory used [KB]: 1791
% 0.19/0.53  % (10687)Time elapsed: 0.133 s
% 0.19/0.53  % (10687)Instructions burned: 16 (million)
% 0.19/0.53  % (10687)------------------------------
% 0.19/0.53  % (10687)------------------------------
% 0.19/0.53  % (10694)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)
% 0.19/0.54  % (10685)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)
% 0.19/0.54  % (10703)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)
% 0.19/0.54  % (10690)Instruction limit reached!
% 0.19/0.54  % (10690)------------------------------
% 0.19/0.54  % (10690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (10690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (10690)Termination reason: Unknown
% 0.19/0.54  % (10690)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (10690)Memory used [KB]: 6140
% 0.19/0.54  % (10690)Time elapsed: 0.101 s
% 0.19/0.54  % (10690)Instructions burned: 8 (million)
% 0.19/0.54  % (10690)------------------------------
% 0.19/0.54  % (10690)------------------------------
% 0.19/0.54  % (10696)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)
% 0.19/0.54  % (10682)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)
% 0.19/0.54  % (10691)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)
% 0.19/0.54  % (10681)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)
% 0.19/0.54  % (10703)Instruction limit reached!
% 0.19/0.54  % (10703)------------------------------
% 0.19/0.54  % (10703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (10702)Instruction limit reached!
% 0.19/0.54  % (10702)------------------------------
% 0.19/0.54  % (10702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (10702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (10702)Termination reason: Unknown
% 0.19/0.54  % (10702)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (10702)Memory used [KB]: 6268
% 0.19/0.54  % (10702)Time elapsed: 0.145 s
% 0.19/0.54  % (10702)Instructions burned: 25 (million)
% 0.19/0.54  % (10702)------------------------------
% 0.19/0.54  % (10702)------------------------------
% 0.19/0.54  % (10676)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)
% 0.19/0.54  % (10689)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)
% 0.19/0.54  % (10679)Instruction limit reached!
% 0.19/0.54  % (10679)------------------------------
% 0.19/0.54  % (10679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (10679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (10679)Termination reason: Unknown
% 0.19/0.54  % (10679)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (10679)Memory used [KB]: 6140
% 0.19/0.54  % (10679)Time elapsed: 0.128 s
% 0.19/0.54  % (10679)Instructions burned: 15 (million)
% 0.19/0.54  % (10679)------------------------------
% 0.19/0.54  % (10679)------------------------------
% 0.19/0.54  % (10689)Instruction limit reached!
% 0.19/0.54  % (10689)------------------------------
% 0.19/0.54  % (10689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (10689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (10689)Termination reason: Unknown
% 0.19/0.54  % (10689)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (10689)Memory used [KB]: 1535
% 0.19/0.54  % (10689)Time elapsed: 0.004 s
% 0.19/0.54  % (10689)Instructions burned: 3 (million)
% 0.19/0.54  % (10689)------------------------------
% 0.19/0.54  % (10689)------------------------------
% 0.19/0.55  % (10678)Instruction limit reached!
% 0.19/0.55  % (10678)------------------------------
% 0.19/0.55  % (10678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (10699)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)
% 0.19/0.55  % (10676)Instruction limit reached!
% 0.19/0.55  % (10676)------------------------------
% 0.19/0.55  % (10676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (10676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (10676)Termination reason: Unknown
% 0.19/0.55  % (10676)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (10676)Memory used [KB]: 6140
% 0.19/0.55  % (10676)Time elapsed: 0.148 s
% 0.19/0.55  % (10676)Instructions burned: 13 (million)
% 0.19/0.55  % (10676)------------------------------
% 0.19/0.55  % (10676)------------------------------
% 0.19/0.55  % (10680)Instruction limit reached!
% 0.19/0.55  % (10680)------------------------------
% 0.19/0.55  % (10680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (10692)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.55  % (10680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (10680)Termination reason: Unknown
% 0.19/0.55  % (10680)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (10680)Memory used [KB]: 1663
% 0.19/0.55  % (10680)Time elapsed: 0.134 s
% 0.19/0.55  % (10680)Instructions burned: 16 (million)
% 0.19/0.55  % (10680)------------------------------
% 0.19/0.55  % (10680)------------------------------
% 0.19/0.55  % (10703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (10703)Termination reason: Unknown
% 0.19/0.55  % (10703)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (10703)Memory used [KB]: 6140
% 0.19/0.55  % (10692)Instruction limit reached!
% 0.19/0.55  % (10692)------------------------------
% 0.19/0.55  % (10692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (10692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (10692)Termination reason: Unknown
% 0.19/0.55  % (10692)Termination phase: Property scanning
% 0.19/0.55  
% 0.19/0.55  % (10692)Memory used [KB]: 1535
% 0.19/0.55  % (10692)Time elapsed: 0.004 s
% 0.19/0.55  % (10692)Instructions burned: 4 (million)
% 0.19/0.55  % (10692)------------------------------
% 0.19/0.55  % (10692)------------------------------
% 0.19/0.55  % (10703)Time elapsed: 0.140 s
% 0.19/0.55  % (10703)Instructions burned: 8 (million)
% 0.19/0.55  % (10703)------------------------------
% 0.19/0.55  % (10703)------------------------------
% 0.19/0.55  % (10684)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)
% 0.19/0.56  % (10685)Instruction limit reached!
% 0.19/0.56  % (10685)------------------------------
% 0.19/0.56  % (10685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (10685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (10685)Termination reason: Unknown
% 0.19/0.56  % (10685)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (10685)Memory used [KB]: 6140
% 0.19/0.56  % (10685)Time elapsed: 0.148 s
% 0.19/0.56  % (10685)Instructions burned: 12 (million)
% 0.19/0.56  % (10685)------------------------------
% 0.19/0.56  % (10685)------------------------------
% 0.19/0.56  % (10678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (10678)Termination reason: Unknown
% 0.19/0.56  % (10678)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (10678)Memory used [KB]: 6908
% 0.19/0.56  % (10678)Time elapsed: 0.147 s
% 0.19/0.56  % (10678)Instructions burned: 52 (million)
% 0.19/0.56  % (10678)------------------------------
% 0.19/0.56  % (10678)------------------------------
% 0.19/0.56  % (10694)Instruction limit reached!
% 0.19/0.56  % (10694)------------------------------
% 0.19/0.56  % (10694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (10694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (10694)Termination reason: Unknown
% 0.19/0.56  % (10694)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (10694)Memory used [KB]: 6140
% 0.19/0.56  % (10694)Time elapsed: 0.143 s
% 0.19/0.56  % (10694)Instructions burned: 12 (million)
% 0.19/0.56  % (10694)------------------------------
% 0.19/0.56  % (10694)------------------------------
% 0.19/0.58  % (10695)Instruction limit reached!
% 0.19/0.58  % (10695)------------------------------
% 0.19/0.58  % (10695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (10684)Instruction limit reached!
% 0.19/0.58  % (10684)------------------------------
% 0.19/0.58  % (10684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (10699)First to succeed.
% 1.75/0.59  % (10699)Refutation found. Thanks to Tanya!
% 1.75/0.59  % SZS status Theorem for theBenchmark
% 1.75/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.59  % (10699)------------------------------
% 1.75/0.59  % (10699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59  % (10699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59  % (10699)Termination reason: Refutation
% 1.75/0.59  
% 1.75/0.59  % (10699)Memory used [KB]: 6140
% 1.75/0.59  % (10699)Time elapsed: 0.165 s
% 1.75/0.59  % (10699)Instructions burned: 19 (million)
% 1.75/0.59  % (10699)------------------------------
% 1.75/0.59  % (10699)------------------------------
% 1.75/0.59  % (10674)Success in time 0.229 s
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