TSTP Solution File: SEU254+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU254+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 : n029.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 18:27:59 EDT 2022

% Result   : Theorem 2.39s 0.69s
% Output   : Refutation 2.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   83 (   5 unt;   0 def)
%            Number of atoms       :  267 (   0 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  300 ( 116   ~; 109   |;  44   &)
%                                         (  16 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   8 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :  139 ( 122   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f417,plain,
    $false,
    inference(avatar_sat_refutation,[],[f147,f150,f155,f160,f299,f402,f410,f416]) ).

fof(f416,plain,
    ( ~ spl11_2
    | spl11_18 ),
    inference(avatar_contradiction_clause,[],[f413]) ).

fof(f413,plain,
    ( $false
    | ~ spl11_2
    | spl11_18 ),
    inference(resolution,[],[f401,f249]) ).

fof(f249,plain,
    ( in(sK3(relation_restriction(sK9,sK8)),sK8)
    | ~ spl11_2 ),
    inference(resolution,[],[f248,f146]) ).

fof(f146,plain,
    ( in(ordered_pair(sK4(relation_restriction(sK9,sK8)),sK3(relation_restriction(sK9,sK8))),relation_restriction(sK9,sK8))
    | ~ spl11_2 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f145,plain,
    ( spl11_2
  <=> in(ordered_pair(sK4(relation_restriction(sK9,sK8)),sK3(relation_restriction(sK9,sK8))),relation_restriction(sK9,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).

fof(f248,plain,
    ! [X2,X0,X1] :
      ( ~ in(ordered_pair(X2,X0),relation_restriction(sK9,X1))
      | in(X0,X1) ),
    inference(resolution,[],[f126,f167]) ).

fof(f167,plain,
    ! [X6,X7] :
      ( in(X6,cartesian_product2(X7,X7))
      | ~ in(X6,relation_restriction(sK9,X7)) ),
    inference(resolution,[],[f109,f123]) ).

fof(f123,plain,
    relation(sK9),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ( transitive(sK9)
    & relation(sK9)
    & ~ transitive(relation_restriction(sK9,sK8)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f87,f88]) ).

fof(f88,plain,
    ( ? [X0,X1] :
        ( transitive(X1)
        & relation(X1)
        & ~ transitive(relation_restriction(X1,X0)) )
   => ( transitive(sK9)
      & relation(sK9)
      & ~ transitive(relation_restriction(sK9,sK8)) ) ),
    introduced(choice_axiom,[]) ).

fof(f87,plain,
    ? [X0,X1] :
      ( transitive(X1)
      & relation(X1)
      & ~ transitive(relation_restriction(X1,X0)) ),
    inference(rectify,[],[f60]) ).

fof(f60,plain,
    ? [X1,X0] :
      ( transitive(X0)
      & relation(X0)
      & ~ transitive(relation_restriction(X0,X1)) ),
    inference(flattening,[],[f59]) ).

fof(f59,plain,
    ? [X0,X1] :
      ( ~ transitive(relation_restriction(X0,X1))
      & transitive(X0)
      & relation(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ~ ! [X0,X1] :
        ( relation(X0)
       => ( transitive(X0)
         => transitive(relation_restriction(X0,X1)) ) ),
    inference(rectify,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ! [X1,X0] :
        ( relation(X1)
       => ( transitive(X1)
         => transitive(relation_restriction(X1,X0)) ) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ! [X1,X0] :
      ( relation(X1)
     => ( transitive(X1)
       => transitive(relation_restriction(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_wellord1) ).

fof(f109,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X2)
      | in(X1,cartesian_product2(X0,X0))
      | ~ in(X1,relation_restriction(X2,X0)) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( ~ relation(X2)
      | ( ( in(X1,relation_restriction(X2,X0))
          | ~ in(X1,X2)
          | ~ in(X1,cartesian_product2(X0,X0)) )
        & ( ( in(X1,X2)
            & in(X1,cartesian_product2(X0,X0)) )
          | ~ in(X1,relation_restriction(X2,X0)) ) ) ),
    inference(rectify,[],[f78]) ).

fof(f78,plain,
    ! [X1,X2,X0] :
      ( ~ relation(X0)
      | ( ( in(X2,relation_restriction(X0,X1))
          | ~ in(X2,X0)
          | ~ in(X2,cartesian_product2(X1,X1)) )
        & ( ( in(X2,X0)
            & in(X2,cartesian_product2(X1,X1)) )
          | ~ in(X2,relation_restriction(X0,X1)) ) ) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X1,X2,X0] :
      ( ~ relation(X0)
      | ( ( in(X2,relation_restriction(X0,X1))
          | ~ in(X2,X0)
          | ~ in(X2,cartesian_product2(X1,X1)) )
        & ( ( in(X2,X0)
            & in(X2,cartesian_product2(X1,X1)) )
          | ~ in(X2,relation_restriction(X0,X1)) ) ) ),
    inference(nnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X1,X2,X0] :
      ( ~ relation(X0)
      | ( in(X2,relation_restriction(X0,X1))
      <=> ( in(X2,X0)
          & in(X2,cartesian_product2(X1,X1)) ) ) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( relation(X0)
     => ( in(X2,relation_restriction(X0,X1))
      <=> ( in(X2,X0)
          & in(X2,cartesian_product2(X1,X1)) ) ) ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X2,X1,X0] :
      ( relation(X2)
     => ( in(X0,relation_restriction(X2,X1))
      <=> ( in(X0,X2)
          & in(X0,cartesian_product2(X1,X1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_wellord1) ).

fof(f126,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(ordered_pair(X3,X1),cartesian_product2(X0,X2))
      | in(X1,X2) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1,X2,X3] :
      ( ( in(ordered_pair(X3,X1),cartesian_product2(X0,X2))
        | ~ in(X3,X0)
        | ~ in(X1,X2) )
      & ( ( in(X3,X0)
          & in(X1,X2) )
        | ~ in(ordered_pair(X3,X1),cartesian_product2(X0,X2)) ) ),
    inference(rectify,[],[f91]) ).

fof(f91,plain,
    ! [X0,X2,X3,X1] :
      ( ( in(ordered_pair(X1,X2),cartesian_product2(X0,X3))
        | ~ in(X1,X0)
        | ~ in(X2,X3) )
      & ( ( in(X1,X0)
          & in(X2,X3) )
        | ~ in(ordered_pair(X1,X2),cartesian_product2(X0,X3)) ) ),
    inference(flattening,[],[f90]) ).

fof(f90,plain,
    ! [X0,X2,X3,X1] :
      ( ( in(ordered_pair(X1,X2),cartesian_product2(X0,X3))
        | ~ in(X1,X0)
        | ~ in(X2,X3) )
      & ( ( in(X1,X0)
          & in(X2,X3) )
        | ~ in(ordered_pair(X1,X2),cartesian_product2(X0,X3)) ) ),
    inference(nnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X2,X3,X1] :
      ( in(ordered_pair(X1,X2),cartesian_product2(X0,X3))
    <=> ( in(X1,X0)
        & in(X2,X3) ) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X2,X0,X1,X3] :
      ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
    <=> ( in(X0,X2)
        & in(X1,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).

fof(f401,plain,
    ( ~ in(sK3(relation_restriction(sK9,sK8)),sK8)
    | spl11_18 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f400,plain,
    ( spl11_18
  <=> in(sK3(relation_restriction(sK9,sK8)),sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).

fof(f410,plain,
    ( ~ spl11_4
    | spl11_17 ),
    inference(avatar_contradiction_clause,[],[f406]) ).

fof(f406,plain,
    ( $false
    | ~ spl11_4
    | spl11_17 ),
    inference(unit_resulting_resolution,[],[f159,f398,f251]) ).

fof(f251,plain,
    ! [X2,X0,X1] :
      ( ~ in(ordered_pair(X0,X2),relation_restriction(sK9,X1))
      | in(X0,X1) ),
    inference(resolution,[],[f127,f167]) ).

fof(f127,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(ordered_pair(X3,X1),cartesian_product2(X0,X2))
      | in(X3,X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f398,plain,
    ( ~ in(sK5(relation_restriction(sK9,sK8)),sK8)
    | spl11_17 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f397,plain,
    ( spl11_17
  <=> in(sK5(relation_restriction(sK9,sK8)),sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_17])]) ).

fof(f159,plain,
    ( in(ordered_pair(sK5(relation_restriction(sK9,sK8)),sK4(relation_restriction(sK9,sK8))),relation_restriction(sK9,sK8))
    | ~ spl11_4 ),
    inference(avatar_component_clause,[],[f158]) ).

fof(f158,plain,
    ( spl11_4
  <=> in(ordered_pair(sK5(relation_restriction(sK9,sK8)),sK4(relation_restriction(sK9,sK8))),relation_restriction(sK9,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

fof(f402,plain,
    ( ~ spl11_17
    | ~ spl11_18
    | ~ spl11_7
    | spl11_3 ),
    inference(avatar_split_clause,[],[f390,f153,f287,f400,f397]) ).

fof(f287,plain,
    ( spl11_7
  <=> in(ordered_pair(sK5(relation_restriction(sK9,sK8)),sK3(relation_restriction(sK9,sK8))),sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).

fof(f153,plain,
    ( spl11_3
  <=> in(ordered_pair(sK5(relation_restriction(sK9,sK8)),sK3(relation_restriction(sK9,sK8))),relation_restriction(sK9,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f390,plain,
    ( ~ in(ordered_pair(sK5(relation_restriction(sK9,sK8)),sK3(relation_restriction(sK9,sK8))),sK9)
    | ~ in(sK3(relation_restriction(sK9,sK8)),sK8)
    | ~ in(sK5(relation_restriction(sK9,sK8)),sK8)
    | spl11_3 ),
    inference(resolution,[],[f267,f154]) ).

fof(f154,plain,
    ( ~ in(ordered_pair(sK5(relation_restriction(sK9,sK8)),sK3(relation_restriction(sK9,sK8))),relation_restriction(sK9,sK8))
    | spl11_3 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f267,plain,
    ! [X10,X8,X9] :
      ( in(ordered_pair(X8,X10),relation_restriction(sK9,X9))
      | ~ in(ordered_pair(X8,X10),sK9)
      | ~ in(X8,X9)
      | ~ in(X10,X9) ),
    inference(resolution,[],[f128,f171]) ).

fof(f171,plain,
    ! [X6,X7] :
      ( ~ in(X6,cartesian_product2(X7,X7))
      | in(X6,relation_restriction(sK9,X7))
      | ~ in(X6,sK9) ),
    inference(resolution,[],[f111,f123]) ).

fof(f111,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X2)
      | ~ in(X1,cartesian_product2(X0,X0))
      | ~ in(X1,X2)
      | in(X1,relation_restriction(X2,X0)) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f128,plain,
    ! [X2,X3,X0,X1] :
      ( in(ordered_pair(X3,X1),cartesian_product2(X0,X2))
      | ~ in(X3,X0)
      | ~ in(X1,X2) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f299,plain,
    ( ~ spl11_2
    | ~ spl11_4
    | spl11_7 ),
    inference(avatar_contradiction_clause,[],[f295]) ).

fof(f295,plain,
    ( $false
    | ~ spl11_2
    | ~ spl11_4
    | spl11_7 ),
    inference(unit_resulting_resolution,[],[f123,f124,f196,f195,f288,f107]) ).

fof(f107,plain,
    ! [X2,X3,X0,X1] :
      ( ~ transitive(X0)
      | ~ in(ordered_pair(X2,X1),X0)
      | in(ordered_pair(X3,X1),X0)
      | ~ in(ordered_pair(X3,X2),X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ( ( ! [X1,X2,X3] :
              ( ~ in(ordered_pair(X3,X2),X0)
              | in(ordered_pair(X3,X1),X0)
              | ~ in(ordered_pair(X2,X1),X0) )
          | ~ transitive(X0) )
        & ( transitive(X0)
          | ( in(ordered_pair(sK5(X0),sK4(X0)),X0)
            & ~ in(ordered_pair(sK5(X0),sK3(X0)),X0)
            & in(ordered_pair(sK4(X0),sK3(X0)),X0) ) ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f74,f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ? [X4,X5,X6] :
          ( in(ordered_pair(X6,X5),X0)
          & ~ in(ordered_pair(X6,X4),X0)
          & in(ordered_pair(X5,X4),X0) )
     => ( in(ordered_pair(sK5(X0),sK4(X0)),X0)
        & ~ in(ordered_pair(sK5(X0),sK3(X0)),X0)
        & in(ordered_pair(sK4(X0),sK3(X0)),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f74,plain,
    ! [X0] :
      ( ( ( ! [X1,X2,X3] :
              ( ~ in(ordered_pair(X3,X2),X0)
              | in(ordered_pair(X3,X1),X0)
              | ~ in(ordered_pair(X2,X1),X0) )
          | ~ transitive(X0) )
        & ( transitive(X0)
          | ? [X4,X5,X6] :
              ( in(ordered_pair(X6,X5),X0)
              & ~ in(ordered_pair(X6,X4),X0)
              & in(ordered_pair(X5,X4),X0) ) ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( ( ( ! [X2,X1,X3] :
              ( ~ in(ordered_pair(X3,X1),X0)
              | in(ordered_pair(X3,X2),X0)
              | ~ in(ordered_pair(X1,X2),X0) )
          | ~ transitive(X0) )
        & ( transitive(X0)
          | ? [X2,X1,X3] :
              ( in(ordered_pair(X3,X1),X0)
              & ~ in(ordered_pair(X3,X2),X0)
              & in(ordered_pair(X1,X2),X0) ) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ( ! [X2,X1,X3] :
            ( ~ in(ordered_pair(X3,X1),X0)
            | in(ordered_pair(X3,X2),X0)
            | ~ in(ordered_pair(X1,X2),X0) )
      <=> transitive(X0) )
      | ~ relation(X0) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ( ! [X1,X2,X3] :
            ( in(ordered_pair(X3,X2),X0)
            | ~ in(ordered_pair(X3,X1),X0)
            | ~ in(ordered_pair(X1,X2),X0) )
      <=> transitive(X0) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( relation(X0)
     => ( ! [X1,X2,X3] :
            ( ( in(ordered_pair(X3,X1),X0)
              & in(ordered_pair(X1,X2),X0) )
           => in(ordered_pair(X3,X2),X0) )
      <=> transitive(X0) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( relation(X0)
     => ( ! [X2,X3,X1] :
            ( ( in(ordered_pair(X1,X2),X0)
              & in(ordered_pair(X2,X3),X0) )
           => in(ordered_pair(X1,X3),X0) )
      <=> transitive(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_wellord1) ).

fof(f288,plain,
    ( ~ in(ordered_pair(sK5(relation_restriction(sK9,sK8)),sK3(relation_restriction(sK9,sK8))),sK9)
    | spl11_7 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f195,plain,
    ( in(ordered_pair(sK4(relation_restriction(sK9,sK8)),sK3(relation_restriction(sK9,sK8))),sK9)
    | ~ spl11_2 ),
    inference(resolution,[],[f146,f138]) ).

fof(f138,plain,
    ! [X6,X7] :
      ( ~ in(X6,relation_restriction(sK9,X7))
      | in(X6,sK9) ),
    inference(resolution,[],[f110,f123]) ).

fof(f110,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X2)
      | in(X1,X2)
      | ~ in(X1,relation_restriction(X2,X0)) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f196,plain,
    ( in(ordered_pair(sK5(relation_restriction(sK9,sK8)),sK4(relation_restriction(sK9,sK8))),sK9)
    | ~ spl11_4 ),
    inference(resolution,[],[f159,f138]) ).

fof(f124,plain,
    transitive(sK9),
    inference(cnf_transformation,[],[f89]) ).

fof(f160,plain,
    ( spl11_4
    | ~ spl11_1 ),
    inference(avatar_split_clause,[],[f156,f142,f158]) ).

fof(f142,plain,
    ( spl11_1
  <=> relation(relation_restriction(sK9,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).

fof(f156,plain,
    ( ~ relation(relation_restriction(sK9,sK8))
    | in(ordered_pair(sK5(relation_restriction(sK9,sK8)),sK4(relation_restriction(sK9,sK8))),relation_restriction(sK9,sK8)) ),
    inference(resolution,[],[f106,f122]) ).

fof(f122,plain,
    ~ transitive(relation_restriction(sK9,sK8)),
    inference(cnf_transformation,[],[f89]) ).

fof(f106,plain,
    ! [X0] :
      ( transitive(X0)
      | ~ relation(X0)
      | in(ordered_pair(sK5(X0),sK4(X0)),X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f155,plain,
    ( ~ spl11_3
    | ~ spl11_1 ),
    inference(avatar_split_clause,[],[f151,f142,f153]) ).

fof(f151,plain,
    ( ~ relation(relation_restriction(sK9,sK8))
    | ~ in(ordered_pair(sK5(relation_restriction(sK9,sK8)),sK3(relation_restriction(sK9,sK8))),relation_restriction(sK9,sK8)) ),
    inference(resolution,[],[f105,f122]) ).

fof(f105,plain,
    ! [X0] :
      ( transitive(X0)
      | ~ relation(X0)
      | ~ in(ordered_pair(sK5(X0),sK3(X0)),X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f150,plain,
    spl11_1,
    inference(avatar_contradiction_clause,[],[f148]) ).

fof(f148,plain,
    ( $false
    | spl11_1 ),
    inference(unit_resulting_resolution,[],[f123,f143,f125]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( relation(relation_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | relation(relation_restriction(X0,X1)) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( relation(X0)
     => relation(relation_restriction(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_wellord1) ).

fof(f143,plain,
    ( ~ relation(relation_restriction(sK9,sK8))
    | spl11_1 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f147,plain,
    ( ~ spl11_1
    | spl11_2 ),
    inference(avatar_split_clause,[],[f140,f145,f142]) ).

fof(f140,plain,
    ( in(ordered_pair(sK4(relation_restriction(sK9,sK8)),sK3(relation_restriction(sK9,sK8))),relation_restriction(sK9,sK8))
    | ~ relation(relation_restriction(sK9,sK8)) ),
    inference(resolution,[],[f104,f122]) ).

fof(f104,plain,
    ! [X0] :
      ( transitive(X0)
      | ~ relation(X0)
      | in(ordered_pair(sK4(X0),sK3(X0)),X0) ),
    inference(cnf_transformation,[],[f76]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU254+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 15:08:42 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.58  % (10675)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)
% 0.20/0.58  % (10672)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)
% 0.20/0.58  % (10670)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)
% 0.20/0.58  % (10674)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)
% 0.20/0.59  % (10689)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)
% 0.20/0.59  % (10681)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)
% 0.20/0.59  % (10691)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)
% 0.20/0.59  % (10683)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)
% 0.20/0.59  % (10682)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)
% 0.20/0.59  % (10686)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)
% 0.20/0.60  % (10686)Refutation not found, incomplete strategy% (10686)------------------------------
% 0.20/0.60  % (10686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (10686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (10686)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.60  
% 0.20/0.60  % (10686)Memory used [KB]: 6012
% 0.20/0.60  % (10686)Time elapsed: 0.169 s
% 0.20/0.60  % (10686)Instructions burned: 2 (million)
% 0.20/0.60  % (10686)------------------------------
% 0.20/0.60  % (10686)------------------------------
% 0.20/0.60  % (10690)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)
% 0.20/0.60  % (10681)Instruction limit reached!
% 0.20/0.60  % (10681)------------------------------
% 0.20/0.60  % (10681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (10678)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)
% 0.20/0.61  % (10681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (10681)Termination reason: Unknown
% 0.20/0.61  % (10681)Termination phase: Saturation
% 0.20/0.61  
% 0.20/0.61  % (10681)Memory used [KB]: 1407
% 0.20/0.61  % (10681)Time elapsed: 0.004 s
% 0.20/0.61  % (10681)Instructions burned: 3 (million)
% 0.20/0.61  % (10681)------------------------------
% 0.20/0.61  % (10681)------------------------------
% 0.20/0.61  % (10672)Instruction limit reached!
% 0.20/0.61  % (10672)------------------------------
% 0.20/0.61  % (10672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (10672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (10672)Termination reason: Unknown
% 0.20/0.61  % (10672)Termination phase: Saturation
% 0.20/0.61  
% 0.20/0.61  % (10672)Memory used [KB]: 1663
% 0.20/0.61  % (10672)Time elapsed: 0.161 s
% 0.20/0.61  % (10672)Instructions burned: 15 (million)
% 0.20/0.61  % (10682)Instruction limit reached!
% 0.20/0.61  % (10682)------------------------------
% 0.20/0.61  % (10682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (10682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (10682)Termination reason: Unknown
% 0.20/0.61  % (10682)Termination phase: Saturation
% 0.20/0.61  
% 0.20/0.61  % (10682)Memory used [KB]: 6012
% 0.20/0.61  % (10682)Time elapsed: 0.155 s
% 0.20/0.61  % (10682)Instructions burned: 7 (million)
% 0.20/0.61  % (10682)------------------------------
% 0.20/0.61  % (10682)------------------------------
% 0.20/0.61  % (10672)------------------------------
% 0.20/0.61  % (10672)------------------------------
% 0.20/0.62  % (10694)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)
% 0.20/0.63  % (10678)Instruction limit reached!
% 0.20/0.63  % (10678)------------------------------
% 0.20/0.63  % (10678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.63  % (10678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.63  % (10678)Termination reason: Unknown
% 0.20/0.63  % (10678)Termination phase: Saturation
% 0.20/0.63  
% 0.20/0.63  % (10678)Memory used [KB]: 6140
% 0.20/0.63  % (10678)Time elapsed: 0.202 s
% 0.20/0.63  % (10678)Instructions burned: 8 (million)
% 0.20/0.63  % (10678)------------------------------
% 0.20/0.63  % (10678)------------------------------
% 0.20/0.64  % (10671)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)
% 0.20/0.64  % (10669)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)
% 0.20/0.64  % (10669)Instruction limit reached!
% 0.20/0.64  % (10669)------------------------------
% 0.20/0.64  % (10669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.64  % (10669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.64  % (10669)Termination reason: Unknown
% 0.20/0.64  % (10669)Termination phase: Saturation
% 0.20/0.64  
% 0.20/0.64  % (10669)Memory used [KB]: 1407
% 0.20/0.64  % (10669)Time elapsed: 0.003 s
% 0.20/0.64  % (10669)Instructions burned: 3 (million)
% 0.20/0.64  % (10669)------------------------------
% 0.20/0.64  % (10669)------------------------------
% 2.19/0.65  % (10687)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)
% 2.19/0.65  % (10685)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)
% 2.19/0.65  % (10685)Instruction limit reached!
% 2.19/0.65  % (10685)------------------------------
% 2.19/0.65  % (10685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.65  % (10685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.65  % (10685)Termination reason: Unknown
% 2.19/0.65  % (10685)Termination phase: Saturation
% 2.19/0.65  
% 2.19/0.65  % (10685)Memory used [KB]: 5884
% 2.19/0.65  % (10685)Time elapsed: 0.003 s
% 2.19/0.65  % (10685)Instructions burned: 2 (million)
% 2.19/0.65  % (10685)------------------------------
% 2.19/0.65  % (10685)------------------------------
% 2.19/0.65  % (10693)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)
% 2.19/0.66  % (10695)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)
% 2.19/0.66  % (10671)Refutation not found, incomplete strategy% (10671)------------------------------
% 2.19/0.66  % (10671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.66  % (10671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.66  % (10671)Termination reason: Refutation not found, incomplete strategy
% 2.19/0.66  
% 2.19/0.66  % (10671)Memory used [KB]: 5884
% 2.19/0.66  % (10671)Time elapsed: 0.213 s
% 2.19/0.66  % (10671)Instructions burned: 2 (million)
% 2.19/0.66  % (10671)------------------------------
% 2.19/0.66  % (10671)------------------------------
% 2.19/0.66  % (10677)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)
% 2.19/0.66  % (10694)First to succeed.
% 2.19/0.66  % (10668)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)
% 2.19/0.66  % (10679)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)
% 2.19/0.66  % (10679)Refutation not found, incomplete strategy% (10679)------------------------------
% 2.19/0.66  % (10679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.66  % (10679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.66  % (10679)Termination reason: Refutation not found, incomplete strategy
% 2.19/0.66  
% 2.19/0.66  % (10679)Memory used [KB]: 1535
% 2.19/0.66  % (10679)Time elapsed: 0.225 s
% 2.19/0.66  % (10679)Instructions burned: 3 (million)
% 2.19/0.66  % (10679)------------------------------
% 2.19/0.66  % (10679)------------------------------
% 2.19/0.67  % (10684)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 2.19/0.67  % (10675)Instruction limit reached!
% 2.19/0.67  % (10675)------------------------------
% 2.19/0.67  % (10675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.67  % (10675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.67  % (10675)Termination reason: Unknown
% 2.19/0.67  % (10675)Termination phase: Saturation
% 2.19/0.67  
% 2.19/0.67  % (10675)Memory used [KB]: 6524
% 2.19/0.67  % (10675)Time elapsed: 0.206 s
% 2.19/0.67  % (10675)Instructions burned: 50 (million)
% 2.19/0.67  % (10675)------------------------------
% 2.19/0.67  % (10675)------------------------------
% 2.19/0.67  % (10684)Instruction limit reached!
% 2.19/0.67  % (10684)------------------------------
% 2.19/0.67  % (10684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.67  % (10684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.67  % (10684)Termination reason: Unknown
% 2.19/0.67  % (10684)Termination phase: Finite model building preprocessing
% 2.19/0.67  
% 2.19/0.67  % (10684)Memory used [KB]: 1535
% 2.19/0.67  % (10684)Time elapsed: 0.004 s
% 2.19/0.67  % (10684)Instructions burned: 4 (million)
% 2.19/0.67  % (10684)------------------------------
% 2.19/0.67  % (10684)------------------------------
% 2.19/0.67  % (10674)Instruction limit reached!
% 2.19/0.67  % (10674)------------------------------
% 2.19/0.67  % (10674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.67  % (10674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.67  % (10674)Termination reason: Unknown
% 2.19/0.67  % (10674)Termination phase: Saturation
% 2.19/0.67  
% 2.19/0.67  % (10674)Memory used [KB]: 6524
% 2.19/0.67  % (10674)Time elapsed: 0.203 s
% 2.19/0.67  % (10674)Instructions burned: 39 (million)
% 2.19/0.67  % (10674)------------------------------
% 2.19/0.67  % (10674)------------------------------
% 2.19/0.67  % (10676)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)
% 2.19/0.67  % (10695)Instruction limit reached!
% 2.19/0.67  % (10695)------------------------------
% 2.19/0.67  % (10695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.67  % (10695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.67  % (10695)Termination reason: Unknown
% 2.19/0.67  % (10695)Termination phase: Saturation
% 2.19/0.67  
% 2.19/0.67  % (10695)Memory used [KB]: 6140
% 2.19/0.67  % (10695)Time elapsed: 0.221 s
% 2.19/0.67  % (10695)Instructions burned: 8 (million)
% 2.19/0.67  % (10695)------------------------------
% 2.19/0.67  % (10695)------------------------------
% 2.39/0.68  % (10692)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)
% 2.39/0.69  % (10668)Refutation not found, incomplete strategy% (10668)------------------------------
% 2.39/0.69  % (10668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.69  % (10668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.69  % (10668)Termination reason: Refutation not found, incomplete strategy
% 2.39/0.69  
% 2.39/0.69  % (10668)Memory used [KB]: 6012
% 2.39/0.69  % (10668)Time elapsed: 0.203 s
% 2.39/0.69  % (10668)Instructions burned: 2 (million)
% 2.39/0.69  % (10668)------------------------------
% 2.39/0.69  % (10668)------------------------------
% 2.39/0.69  % (10694)Refutation found. Thanks to Tanya!
% 2.39/0.69  % SZS status Theorem for theBenchmark
% 2.39/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 2.39/0.69  % (10694)------------------------------
% 2.39/0.69  % (10694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.69  % (10694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.69  % (10694)Termination reason: Refutation
% 2.39/0.69  
% 2.39/0.69  % (10694)Memory used [KB]: 6268
% 2.39/0.69  % (10694)Time elapsed: 0.237 s
% 2.39/0.69  % (10694)Instructions burned: 18 (million)
% 2.39/0.69  % (10694)------------------------------
% 2.39/0.69  % (10694)------------------------------
% 2.39/0.69  % (10666)Success in time 0.315 s
%------------------------------------------------------------------------------