TSTP Solution File: SEU137+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU137+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n009.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 18:26:50 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   75 (   4 unt;   0 def)
%            Number of atoms       :  313 (  42 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  372 ( 134   ~; 152   |;  59   &)
%                                         (  13 <=>;  13  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :  154 ( 136   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f238,plain,
    $false,
    inference(avatar_sat_refutation,[],[f196,f202,f214,f237]) ).

fof(f237,plain,
    ( spl8_3
    | ~ spl8_4 ),
    inference(avatar_contradiction_clause,[],[f236]) ).

fof(f236,plain,
    ( $false
    | spl8_3
    | ~ spl8_4 ),
    inference(subsumption_resolution,[],[f232,f191]) ).

fof(f191,plain,
    ( ~ in(sK6(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1)
    | spl8_3 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f189,plain,
    ( spl8_3
  <=> in(sK6(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).

fof(f232,plain,
    ( in(sK6(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1)
    | spl8_3
    | ~ spl8_4 ),
    inference(resolution,[],[f230,f102]) ).

fof(f102,plain,
    ! [X2,X3,X1] :
      ( ~ in(X3,set_difference(X2,X1))
      | in(X3,X2) ),
    inference(equality_resolution,[],[f82]) ).

fof(f82,plain,
    ! [X2,X3,X0,X1] :
      ( in(X3,X2)
      | ~ in(X3,X0)
      | set_difference(X2,X1) != X0 ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ( ( ~ in(X3,X1)
                & in(X3,X2) )
              | ~ in(X3,X0) )
            & ( in(X3,X0)
              | in(X3,X1)
              | ~ in(X3,X2) ) )
        | set_difference(X2,X1) != X0 )
      & ( set_difference(X2,X1) = X0
        | ( ( ~ in(sK3(X0,X1,X2),X0)
            | in(sK3(X0,X1,X2),X1)
            | ~ in(sK3(X0,X1,X2),X2) )
          & ( in(sK3(X0,X1,X2),X0)
            | ( ~ in(sK3(X0,X1,X2),X1)
              & in(sK3(X0,X1,X2),X2) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f52,f53]) ).

fof(f53,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( ( ~ in(X4,X0)
            | in(X4,X1)
            | ~ in(X4,X2) )
          & ( in(X4,X0)
            | ( ~ in(X4,X1)
              & in(X4,X2) ) ) )
     => ( ( ~ in(sK3(X0,X1,X2),X0)
          | in(sK3(X0,X1,X2),X1)
          | ~ in(sK3(X0,X1,X2),X2) )
        & ( in(sK3(X0,X1,X2),X0)
          | ( ~ in(sK3(X0,X1,X2),X1)
            & in(sK3(X0,X1,X2),X2) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ( ( ~ in(X3,X1)
                & in(X3,X2) )
              | ~ in(X3,X0) )
            & ( in(X3,X0)
              | in(X3,X1)
              | ~ in(X3,X2) ) )
        | set_difference(X2,X1) != X0 )
      & ( set_difference(X2,X1) = X0
        | ? [X4] :
            ( ( ~ in(X4,X0)
              | in(X4,X1)
              | ~ in(X4,X2) )
            & ( in(X4,X0)
              | ( ~ in(X4,X1)
                & in(X4,X2) ) ) ) ) ),
    inference(rectify,[],[f51]) ).

fof(f51,plain,
    ! [X2,X1,X0] :
      ( ( ! [X3] :
            ( ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X2)
              | in(X3,X1)
              | ~ in(X3,X0) ) )
        | set_difference(X0,X1) != X2 )
      & ( set_difference(X0,X1) = X2
        | ? [X3] :
            ( ( ~ in(X3,X2)
              | in(X3,X1)
              | ~ in(X3,X0) )
            & ( in(X3,X2)
              | ( ~ in(X3,X1)
                & in(X3,X0) ) ) ) ) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ! [X2,X1,X0] :
      ( ( ! [X3] :
            ( ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X2)
              | in(X3,X1)
              | ~ in(X3,X0) ) )
        | set_difference(X0,X1) != X2 )
      & ( set_difference(X0,X1) = X2
        | ? [X3] :
            ( ( ~ in(X3,X2)
              | in(X3,X1)
              | ~ in(X3,X0) )
            & ( in(X3,X2)
              | ( ~ in(X3,X1)
                & in(X3,X0) ) ) ) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X2,X1,X0] :
      ( ! [X3] :
          ( ( ~ in(X3,X1)
            & in(X3,X0) )
        <=> in(X3,X2) )
    <=> set_difference(X0,X1) = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).

fof(f230,plain,
    ( in(sK6(sK1,set_union2(sK0,set_difference(sK1,sK0))),set_difference(sK1,sK0))
    | spl8_3
    | ~ spl8_4 ),
    inference(subsumption_resolution,[],[f227,f215]) ).

fof(f215,plain,
    ( ~ in(sK6(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK0)
    | spl8_3 ),
    inference(resolution,[],[f191,f153]) ).

fof(f153,plain,
    ! [X0] :
      ( in(X0,sK1)
      | ~ in(X0,sK0) ),
    inference(resolution,[],[f84,f72]) ).

fof(f72,plain,
    subset(sK0,sK1),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ( subset(sK0,sK1)
    & sK1 != set_union2(sK0,set_difference(sK1,sK0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f43,f44]) ).

fof(f44,plain,
    ( ? [X0,X1] :
        ( subset(X0,X1)
        & set_union2(X0,set_difference(X1,X0)) != X1 )
   => ( subset(sK0,sK1)
      & sK1 != set_union2(sK0,set_difference(sK1,sK0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ? [X0,X1] :
      ( subset(X0,X1)
      & set_union2(X0,set_difference(X1,X0)) != X1 ),
    inference(rectify,[],[f41]) ).

fof(f41,plain,
    ? [X1,X0] :
      ( subset(X1,X0)
      & set_union2(X1,set_difference(X0,X1)) != X0 ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,plain,
    ~ ! [X0,X1] :
        ( subset(X1,X0)
       => set_union2(X1,set_difference(X0,X1)) = X0 ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ! [X1,X0] :
        ( subset(X0,X1)
       => set_union2(X0,set_difference(X1,X0)) = X1 ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ! [X1,X0] :
      ( subset(X0,X1)
     => set_union2(X0,set_difference(X1,X0)) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_xboole_1) ).

fof(f84,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X2,X0)
      | in(X2,X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ in(X2,X0)
          | in(X2,X1) )
      | ~ subset(X0,X1) ),
    inference(rectify,[],[f39]) ).

fof(f39,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ~ in(X2,X1)
          | in(X2,X0) )
      | ~ subset(X1,X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( subset(X1,X0)
     => ! [X2] :
          ( in(X2,X1)
         => in(X2,X0) ) ),
    inference(unused_predicate_definition_removal,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( subset(X1,X0)
    <=> ! [X2] :
          ( in(X2,X1)
         => in(X2,X0) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X1,X0] :
      ( ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) )
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

fof(f227,plain,
    ( in(sK6(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK0)
    | in(sK6(sK1,set_union2(sK0,set_difference(sK1,sK0))),set_difference(sK1,sK0))
    | ~ spl8_4 ),
    inference(resolution,[],[f194,f104]) ).

fof(f104,plain,
    ! [X2,X3,X1] :
      ( ~ in(X3,set_union2(X1,X2))
      | in(X3,X1)
      | in(X3,X2) ),
    inference(equality_resolution,[],[f92]) ).

fof(f92,plain,
    ! [X2,X3,X0,X1] :
      ( in(X3,X1)
      | in(X3,X2)
      | ~ in(X3,X0)
      | set_union2(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ( in(X3,X1)
              | in(X3,X2)
              | ~ in(X3,X0) )
            & ( in(X3,X0)
              | ( ~ in(X3,X1)
                & ~ in(X3,X2) ) ) )
        | set_union2(X1,X2) != X0 )
      & ( set_union2(X1,X2) = X0
        | ( ( ~ in(sK4(X0,X1,X2),X0)
            | ( ~ in(sK4(X0,X1,X2),X1)
              & ~ in(sK4(X0,X1,X2),X2) ) )
          & ( in(sK4(X0,X1,X2),X0)
            | in(sK4(X0,X1,X2),X1)
            | in(sK4(X0,X1,X2),X2) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f59,f60]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( ( ~ in(X4,X0)
            | ( ~ in(X4,X1)
              & ~ in(X4,X2) ) )
          & ( in(X4,X0)
            | in(X4,X1)
            | in(X4,X2) ) )
     => ( ( ~ in(sK4(X0,X1,X2),X0)
          | ( ~ in(sK4(X0,X1,X2),X1)
            & ~ in(sK4(X0,X1,X2),X2) ) )
        & ( in(sK4(X0,X1,X2),X0)
          | in(sK4(X0,X1,X2),X1)
          | in(sK4(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f59,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ( in(X3,X1)
              | in(X3,X2)
              | ~ in(X3,X0) )
            & ( in(X3,X0)
              | ( ~ in(X3,X1)
                & ~ in(X3,X2) ) ) )
        | set_union2(X1,X2) != X0 )
      & ( set_union2(X1,X2) = X0
        | ? [X4] :
            ( ( ~ in(X4,X0)
              | ( ~ in(X4,X1)
                & ~ in(X4,X2) ) )
            & ( in(X4,X0)
              | in(X4,X1)
              | in(X4,X2) ) ) ) ),
    inference(rectify,[],[f58]) ).

fof(f58,plain,
    ! [X1,X2,X0] :
      ( ( ! [X3] :
            ( ( in(X3,X2)
              | in(X3,X0)
              | ~ in(X3,X1) )
            & ( in(X3,X1)
              | ( ~ in(X3,X2)
                & ~ in(X3,X0) ) ) )
        | set_union2(X2,X0) != X1 )
      & ( set_union2(X2,X0) = X1
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ( ~ in(X3,X2)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X2)
              | in(X3,X0) ) ) ) ),
    inference(flattening,[],[f57]) ).

fof(f57,plain,
    ! [X1,X2,X0] :
      ( ( ! [X3] :
            ( ( in(X3,X2)
              | in(X3,X0)
              | ~ in(X3,X1) )
            & ( in(X3,X1)
              | ( ~ in(X3,X2)
                & ~ in(X3,X0) ) ) )
        | set_union2(X2,X0) != X1 )
      & ( set_union2(X2,X0) = X1
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ( ~ in(X3,X2)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X2)
              | in(X3,X0) ) ) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X1,X2,X0] :
      ( ! [X3] :
          ( ( in(X3,X2)
            | in(X3,X0) )
        <=> in(X3,X1) )
    <=> set_union2(X2,X0) = X1 ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X2,X0] :
      ( ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X0)
            | in(X3,X1) ) )
    <=> set_union2(X0,X1) = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).

fof(f194,plain,
    ( in(sK6(sK1,set_union2(sK0,set_difference(sK1,sK0))),set_union2(sK0,set_difference(sK1,sK0)))
    | ~ spl8_4 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f193,plain,
    ( spl8_4
  <=> in(sK6(sK1,set_union2(sK0,set_difference(sK1,sK0))),set_union2(sK0,set_difference(sK1,sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).

fof(f214,plain,
    ( ~ spl8_3
    | spl8_4 ),
    inference(avatar_contradiction_clause,[],[f213]) ).

fof(f213,plain,
    ( $false
    | ~ spl8_3
    | spl8_4 ),
    inference(subsumption_resolution,[],[f212,f190]) ).

fof(f190,plain,
    ( in(sK6(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1)
    | ~ spl8_3 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f212,plain,
    ( ~ in(sK6(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1)
    | spl8_4 ),
    inference(subsumption_resolution,[],[f211,f206]) ).

fof(f206,plain,
    ( ~ in(sK6(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK0)
    | spl8_4 ),
    inference(resolution,[],[f195,f105]) ).

fof(f105,plain,
    ! [X2,X3,X1] :
      ( in(X3,set_union2(X1,X2))
      | ~ in(X3,X1) ),
    inference(equality_resolution,[],[f91]) ).

fof(f91,plain,
    ! [X2,X3,X0,X1] :
      ( in(X3,X0)
      | ~ in(X3,X1)
      | set_union2(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f195,plain,
    ( ~ in(sK6(sK1,set_union2(sK0,set_difference(sK1,sK0))),set_union2(sK0,set_difference(sK1,sK0)))
    | spl8_4 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f211,plain,
    ( in(sK6(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK0)
    | ~ in(sK6(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1)
    | spl8_4 ),
    inference(resolution,[],[f205,f103]) ).

fof(f103,plain,
    ! [X2,X3,X1] :
      ( in(X3,set_difference(X2,X1))
      | ~ in(X3,X2)
      | in(X3,X1) ),
    inference(equality_resolution,[],[f81]) ).

fof(f81,plain,
    ! [X2,X3,X0,X1] :
      ( in(X3,X0)
      | in(X3,X1)
      | ~ in(X3,X2)
      | set_difference(X2,X1) != X0 ),
    inference(cnf_transformation,[],[f54]) ).

fof(f205,plain,
    ( ~ in(sK6(sK1,set_union2(sK0,set_difference(sK1,sK0))),set_difference(sK1,sK0))
    | spl8_4 ),
    inference(resolution,[],[f195,f106]) ).

fof(f106,plain,
    ! [X2,X3,X1] :
      ( in(X3,set_union2(X1,X2))
      | ~ in(X3,X2) ),
    inference(equality_resolution,[],[f90]) ).

fof(f90,plain,
    ! [X2,X3,X0,X1] :
      ( in(X3,X0)
      | ~ in(X3,X2)
      | set_union2(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f202,plain,
    ( spl8_4
    | spl8_3 ),
    inference(avatar_split_clause,[],[f198,f189,f193]) ).

fof(f198,plain,
    ( in(sK6(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1)
    | in(sK6(sK1,set_union2(sK0,set_difference(sK1,sK0))),set_union2(sK0,set_difference(sK1,sK0))) ),
    inference(resolution,[],[f122,f109]) ).

fof(f109,plain,
    ~ sQ7_eqProxy(sK1,set_union2(sK0,set_difference(sK1,sK0))),
    inference(equality_proxy_replacement,[],[f71,f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( sQ7_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ7_eqProxy])]) ).

fof(f71,plain,
    sK1 != set_union2(sK0,set_difference(sK1,sK0)),
    inference(cnf_transformation,[],[f45]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( sQ7_eqProxy(X0,X1)
      | in(sK6(X0,X1),X1)
      | in(sK6(X0,X1),X0) ),
    inference(equality_proxy_replacement,[],[f97,f107]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( in(sK6(X0,X1),X1)
      | in(sK6(X0,X1),X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ( ( ~ in(sK6(X0,X1),X1)
          | ~ in(sK6(X0,X1),X0) )
        & ( in(sK6(X0,X1),X1)
          | in(sK6(X0,X1),X0) ) )
      | X0 = X1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f66,f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ in(X2,X1)
            | ~ in(X2,X0) )
          & ( in(X2,X1)
            | in(X2,X0) ) )
     => ( ( ~ in(sK6(X0,X1),X1)
          | ~ in(sK6(X0,X1),X0) )
        & ( in(sK6(X0,X1),X1)
          | in(sK6(X0,X1),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ in(X2,X1)
            | ~ in(X2,X0) )
          & ( in(X2,X1)
            | in(X2,X0) ) )
      | X0 = X1 ),
    inference(rectify,[],[f65]) ).

fof(f65,plain,
    ! [X1,X0] :
      ( ? [X2] :
          ( ( ~ in(X2,X0)
            | ~ in(X2,X1) )
          & ( in(X2,X0)
            | in(X2,X1) ) )
      | X0 = X1 ),
    inference(nnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X1,X0] :
      ( ? [X2] :
          ( in(X2,X1)
        <~> in(X2,X0) )
      | X0 = X1 ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( in(X2,X0)
        <=> in(X2,X1) )
     => X0 = X1 ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X1,X0] :
      ( ! [X2] :
          ( in(X2,X0)
        <=> in(X2,X1) )
     => X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).

fof(f196,plain,
    ( ~ spl8_3
    | ~ spl8_4 ),
    inference(avatar_split_clause,[],[f186,f193,f189]) ).

fof(f186,plain,
    ( ~ in(sK6(sK1,set_union2(sK0,set_difference(sK1,sK0))),set_union2(sK0,set_difference(sK1,sK0)))
    | ~ in(sK6(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1) ),
    inference(resolution,[],[f121,f109]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( sQ7_eqProxy(X0,X1)
      | ~ in(sK6(X0,X1),X1)
      | ~ in(sK6(X0,X1),X0) ),
    inference(equality_proxy_replacement,[],[f98,f107]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ~ in(sK6(X0,X1),X1)
      | ~ in(sK6(X0,X1),X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f68]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SEU137+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 14:40:50 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.44  % (576)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)
% 0.19/0.45  % (564)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)
% 0.19/0.46  % (564)Instruction limit reached!
% 0.19/0.46  % (564)------------------------------
% 0.19/0.46  % (564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46  % (555)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)
% 0.19/0.46  % (564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46  % (564)Termination reason: Unknown
% 0.19/0.46  % (564)Termination phase: Saturation
% 0.19/0.46  
% 0.19/0.46  % (564)Memory used [KB]: 6012
% 0.19/0.46  % (564)Time elapsed: 0.062 s
% 0.19/0.46  % (564)Instructions burned: 7 (million)
% 0.19/0.46  % (564)------------------------------
% 0.19/0.46  % (564)------------------------------
% 0.19/0.48  % (553)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)
% 0.19/0.49  % (577)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)
% 0.19/0.49  % (556)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)
% 0.19/0.49  % (557)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)
% 0.19/0.50  % (577)First to succeed.
% 0.19/0.50  % (557)Refutation not found, incomplete strategy% (557)------------------------------
% 0.19/0.50  % (557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (557)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (557)Memory used [KB]: 6012
% 0.19/0.50  % (557)Time elapsed: 0.102 s
% 0.19/0.50  % (557)Instructions burned: 2 (million)
% 0.19/0.50  % (557)------------------------------
% 0.19/0.50  % (557)------------------------------
% 0.19/0.50  % (574)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)
% 0.19/0.50  % (562)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)
% 0.19/0.50  % (565)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)
% 0.19/0.50  % (577)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Theorem for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (577)------------------------------
% 0.19/0.50  % (577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (577)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (577)Memory used [KB]: 6012
% 0.19/0.50  % (577)Time elapsed: 0.106 s
% 0.19/0.50  % (577)Instructions burned: 7 (million)
% 0.19/0.50  % (577)------------------------------
% 0.19/0.50  % (577)------------------------------
% 0.19/0.50  % (545)Success in time 0.165 s
%------------------------------------------------------------------------------