TSTP Solution File: SWV384+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV384+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_sat --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 18:56:40 EDT 2022

% Result   : Theorem 1.77s 0.59s
% Output   : Refutation 1.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   64 (   4 unt;   0 def)
%            Number of atoms       :  265 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  345 ( 144   ~; 126   |;  46   &)
%                                         (   8 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-3 aty)
%            Number of variables   :  198 ( 144   !;  54   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f348,plain,
    $false,
    inference(avatar_sat_refutation,[],[f232,f249,f251,f252,f257,f258,f268,f339,f343,f345,f347]) ).

fof(f347,plain,
    ( ~ spl12_1
    | spl12_5
    | ~ spl12_7 ),
    inference(avatar_contradiction_clause,[],[f346]) ).

fof(f346,plain,
    ( $false
    | ~ spl12_1
    | spl12_5
    | ~ spl12_7 ),
    inference(unit_resulting_resolution,[],[f228,f256,f244,f184]) ).

fof(f184,plain,
    ! [X2,X0,X1] :
      ( ~ ok(im_succ_cpq(triple(X2,X1,X0)))
      | check_cpq(triple(X2,X1,X0))
      | ~ check_cpq(im_succ_cpq(triple(X2,X1,X0))) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1,X2] :
      ( ( check_cpq(triple(X2,X1,X0))
        & ok(triple(X2,X1,X0)) )
      | ~ check_cpq(im_succ_cpq(triple(X2,X1,X0)))
      | ~ ok(im_succ_cpq(triple(X2,X1,X0))) ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ! [X1,X0,X2] :
      ( ~ check_cpq(im_succ_cpq(triple(X2,X1,X0)))
      | ~ ok(im_succ_cpq(triple(X2,X1,X0)))
      | ( check_cpq(triple(X2,X1,X0))
        & ok(triple(X2,X1,X0)) ) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X1,X0,X2] :
      ( ( ~ ok(triple(X2,X1,X0))
        | ~ check_cpq(triple(X2,X1,X0)) )
     => ( ~ check_cpq(im_succ_cpq(triple(X2,X1,X0)))
        | ~ ok(im_succ_cpq(triple(X2,X1,X0))) ) ),
    inference(rectify,[],[f43]) ).

fof(f43,axiom,
    ! [X2,X1,X0] :
      ( ( ~ check_cpq(triple(X0,X1,X2))
        | ~ ok(triple(X0,X1,X2)) )
     => ( ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
        | ~ ok(im_succ_cpq(triple(X0,X1,X2))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_l13) ).

fof(f244,plain,
    ( ~ check_cpq(triple(sK7,sK8,sK6))
    | spl12_5 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl12_5
  <=> check_cpq(triple(sK7,sK8,sK6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).

fof(f256,plain,
    ( ok(im_succ_cpq(triple(sK7,sK8,sK6)))
    | ~ spl12_7 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f254,plain,
    ( spl12_7
  <=> ok(im_succ_cpq(triple(sK7,sK8,sK6))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).

fof(f228,plain,
    ( check_cpq(im_succ_cpq(triple(sK7,sK8,sK6)))
    | ~ spl12_1 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl12_1
  <=> check_cpq(im_succ_cpq(triple(sK7,sK8,sK6))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).

fof(f345,plain,
    ( ~ spl12_1
    | spl12_6
    | ~ spl12_7 ),
    inference(avatar_contradiction_clause,[],[f344]) ).

fof(f344,plain,
    ( $false
    | ~ spl12_1
    | spl12_6
    | ~ spl12_7 ),
    inference(unit_resulting_resolution,[],[f248,f228,f256,f183]) ).

fof(f183,plain,
    ! [X2,X0,X1] :
      ( ~ ok(im_succ_cpq(triple(X2,X1,X0)))
      | ~ check_cpq(im_succ_cpq(triple(X2,X1,X0)))
      | ok(triple(X2,X1,X0)) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f248,plain,
    ( ~ ok(triple(sK7,sK8,sK6))
    | spl12_6 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f246,plain,
    ( spl12_6
  <=> ok(triple(sK7,sK8,sK6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).

fof(f343,plain,
    ( ~ spl12_4
    | spl12_9 ),
    inference(avatar_contradiction_clause,[],[f340]) ).

fof(f340,plain,
    ( $false
    | ~ spl12_4
    | spl12_9 ),
    inference(unit_resulting_resolution,[],[f169,f267,f167,f168,f239]) ).

fof(f239,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ succ_cpq(triple(X1,X0,X2),triple(X4,X5,X3))
        | ~ check_cpq(triple(X4,X5,X3))
        | check_cpq(triple(X1,X0,X2))
        | ~ ok(triple(X4,X5,X3)) )
    | ~ spl12_4 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl12_4
  <=> ! [X3,X4,X0,X5,X2,X1] :
        ( ~ succ_cpq(triple(X1,X0,X2),triple(X4,X5,X3))
        | check_cpq(triple(X1,X0,X2))
        | ~ ok(triple(X4,X5,X3))
        | ~ check_cpq(triple(X4,X5,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).

fof(f168,plain,
    succ_cpq(triple(sK0,sK1,sK2),triple(sK4,sK5,sK3)),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ( ( ~ check_cpq(triple(sK0,sK1,sK2))
      | ~ ok(triple(sK0,sK1,sK2)) )
    & ok(triple(sK4,sK5,sK3))
    & succ_cpq(triple(sK0,sK1,sK2),triple(sK4,sK5,sK3))
    & check_cpq(triple(sK4,sK5,sK3)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f124,f126,f125]) ).

fof(f125,plain,
    ( ? [X0,X1,X2] :
        ( ( ~ check_cpq(triple(X0,X1,X2))
          | ~ ok(triple(X0,X1,X2)) )
        & ? [X3,X4,X5] :
            ( ok(triple(X4,X5,X3))
            & succ_cpq(triple(X0,X1,X2),triple(X4,X5,X3))
            & check_cpq(triple(X4,X5,X3)) ) )
   => ( ( ~ check_cpq(triple(sK0,sK1,sK2))
        | ~ ok(triple(sK0,sK1,sK2)) )
      & ? [X5,X4,X3] :
          ( ok(triple(X4,X5,X3))
          & succ_cpq(triple(sK0,sK1,sK2),triple(X4,X5,X3))
          & check_cpq(triple(X4,X5,X3)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f126,plain,
    ( ? [X5,X4,X3] :
        ( ok(triple(X4,X5,X3))
        & succ_cpq(triple(sK0,sK1,sK2),triple(X4,X5,X3))
        & check_cpq(triple(X4,X5,X3)) )
   => ( ok(triple(sK4,sK5,sK3))
      & succ_cpq(triple(sK0,sK1,sK2),triple(sK4,sK5,sK3))
      & check_cpq(triple(sK4,sK5,sK3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f124,plain,
    ? [X0,X1,X2] :
      ( ( ~ check_cpq(triple(X0,X1,X2))
        | ~ ok(triple(X0,X1,X2)) )
      & ? [X3,X4,X5] :
          ( ok(triple(X4,X5,X3))
          & succ_cpq(triple(X0,X1,X2),triple(X4,X5,X3))
          & check_cpq(triple(X4,X5,X3)) ) ),
    inference(rectify,[],[f105]) ).

fof(f105,plain,
    ? [X1,X0,X2] :
      ( ( ~ check_cpq(triple(X1,X0,X2))
        | ~ ok(triple(X1,X0,X2)) )
      & ? [X5,X4,X3] :
          ( ok(triple(X4,X3,X5))
          & succ_cpq(triple(X1,X0,X2),triple(X4,X3,X5))
          & check_cpq(triple(X4,X3,X5)) ) ),
    inference(flattening,[],[f104]) ).

fof(f104,plain,
    ? [X2,X1,X0] :
      ( ? [X5,X3,X4] :
          ( ok(triple(X4,X3,X5))
          & check_cpq(triple(X4,X3,X5))
          & succ_cpq(triple(X1,X0,X2),triple(X4,X3,X5)) )
      & ( ~ check_cpq(triple(X1,X0,X2))
        | ~ ok(triple(X1,X0,X2)) ) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,plain,
    ~ ! [X2,X1,X0] :
        ( ( ~ check_cpq(triple(X1,X0,X2))
          | ~ ok(triple(X1,X0,X2)) )
       => ! [X5,X3,X4] :
            ( succ_cpq(triple(X1,X0,X2),triple(X4,X3,X5))
           => ( ~ ok(triple(X4,X3,X5))
              | ~ check_cpq(triple(X4,X3,X5)) ) ) ),
    inference(rectify,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ! [X1,X0,X2] :
        ( ( ~ ok(triple(X0,X1,X2))
          | ~ check_cpq(triple(X0,X1,X2)) )
       => ! [X4,X3,X5] :
            ( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
           => ( ~ ok(triple(X3,X4,X5))
              | ~ check_cpq(triple(X3,X4,X5)) ) ) ),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ! [X1,X0,X2] :
      ( ( ~ ok(triple(X0,X1,X2))
        | ~ check_cpq(triple(X0,X1,X2)) )
     => ! [X4,X3,X5] :
          ( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
         => ( ~ ok(triple(X3,X4,X5))
            | ~ check_cpq(triple(X3,X4,X5)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l20_co) ).

fof(f167,plain,
    check_cpq(triple(sK4,sK5,sK3)),
    inference(cnf_transformation,[],[f127]) ).

fof(f267,plain,
    ( ~ check_cpq(triple(sK0,sK1,sK2))
    | spl12_9 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f265,plain,
    ( spl12_9
  <=> check_cpq(triple(sK0,sK1,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).

fof(f169,plain,
    ok(triple(sK4,sK5,sK3)),
    inference(cnf_transformation,[],[f127]) ).

fof(f339,plain,
    ( ~ spl12_2
    | spl12_8 ),
    inference(avatar_contradiction_clause,[],[f336]) ).

fof(f336,plain,
    ( $false
    | ~ spl12_2
    | spl12_8 ),
    inference(unit_resulting_resolution,[],[f167,f263,f169,f168,f231]) ).

fof(f231,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ succ_cpq(triple(X1,X0,X2),triple(X4,X5,X3))
        | ~ ok(triple(X4,X5,X3))
        | ok(triple(X1,X0,X2))
        | ~ check_cpq(triple(X4,X5,X3)) )
    | ~ spl12_2 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f230,plain,
    ( spl12_2
  <=> ! [X3,X4,X0,X5,X2,X1] :
        ( ~ ok(triple(X4,X5,X3))
        | ~ succ_cpq(triple(X1,X0,X2),triple(X4,X5,X3))
        | ~ check_cpq(triple(X4,X5,X3))
        | ok(triple(X1,X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

fof(f263,plain,
    ( ~ ok(triple(sK0,sK1,sK2))
    | spl12_8 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl12_8
  <=> ok(triple(sK0,sK1,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).

fof(f268,plain,
    ( ~ spl12_8
    | ~ spl12_9 ),
    inference(avatar_split_clause,[],[f170,f265,f261]) ).

fof(f170,plain,
    ( ~ check_cpq(triple(sK0,sK1,sK2))
    | ~ ok(triple(sK0,sK1,sK2)) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f258,plain,
    ( spl12_7
    | spl12_2 ),
    inference(avatar_split_clause,[],[f205,f230,f254]) ).

fof(f205,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ succ_cpq(triple(X1,X0,X2),triple(X4,X5,X3))
      | ~ check_cpq(triple(X4,X5,X3))
      | ~ ok(triple(X4,X5,X3))
      | ok(im_succ_cpq(triple(sK7,sK8,sK6)))
      | ok(triple(X1,X0,X2)) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ( ! [X0,X1,X2] :
        ( ! [X3,X4,X5] :
            ( ~ ok(triple(X4,X5,X3))
            | ~ check_cpq(triple(X4,X5,X3))
            | ~ succ_cpq(triple(X1,X0,X2),triple(X4,X5,X3)) )
        | ( ok(triple(X1,X0,X2))
          & check_cpq(triple(X1,X0,X2)) ) )
    | ( ( ~ check_cpq(triple(sK7,sK8,sK6))
        | ~ ok(triple(sK7,sK8,sK6)) )
      & ok(im_succ_cpq(triple(sK7,sK8,sK6)))
      & check_cpq(im_succ_cpq(triple(sK7,sK8,sK6)))
      & succ_cpq(triple(sK9,sK11,sK10),triple(sK7,sK8,sK6)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11])],[f144,f145]) ).

fof(f145,plain,
    ( ? [X6,X7,X8,X9,X10,X11] :
        ( ( ~ check_cpq(triple(X7,X8,X6))
          | ~ ok(triple(X7,X8,X6)) )
        & ok(im_succ_cpq(triple(X7,X8,X6)))
        & check_cpq(im_succ_cpq(triple(X7,X8,X6)))
        & succ_cpq(triple(X9,X11,X10),triple(X7,X8,X6)) )
   => ( ( ~ check_cpq(triple(sK7,sK8,sK6))
        | ~ ok(triple(sK7,sK8,sK6)) )
      & ok(im_succ_cpq(triple(sK7,sK8,sK6)))
      & check_cpq(im_succ_cpq(triple(sK7,sK8,sK6)))
      & succ_cpq(triple(sK9,sK11,sK10),triple(sK7,sK8,sK6)) ) ),
    introduced(choice_axiom,[]) ).

fof(f144,plain,
    ( ! [X0,X1,X2] :
        ( ! [X3,X4,X5] :
            ( ~ ok(triple(X4,X5,X3))
            | ~ check_cpq(triple(X4,X5,X3))
            | ~ succ_cpq(triple(X1,X0,X2),triple(X4,X5,X3)) )
        | ( ok(triple(X1,X0,X2))
          & check_cpq(triple(X1,X0,X2)) ) )
    | ? [X6,X7,X8,X9,X10,X11] :
        ( ( ~ check_cpq(triple(X7,X8,X6))
          | ~ ok(triple(X7,X8,X6)) )
        & ok(im_succ_cpq(triple(X7,X8,X6)))
        & check_cpq(im_succ_cpq(triple(X7,X8,X6)))
        & succ_cpq(triple(X9,X11,X10),triple(X7,X8,X6)) ) ),
    inference(rectify,[],[f99]) ).

fof(f99,plain,
    ( ! [X6,X8,X7] :
        ( ! [X11,X10,X9] :
            ( ~ ok(triple(X10,X9,X11))
            | ~ check_cpq(triple(X10,X9,X11))
            | ~ succ_cpq(triple(X8,X6,X7),triple(X10,X9,X11)) )
        | ( ok(triple(X8,X6,X7))
          & check_cpq(triple(X8,X6,X7)) ) )
    | ? [X5,X1,X3,X2,X0,X4] :
        ( ( ~ check_cpq(triple(X1,X3,X5))
          | ~ ok(triple(X1,X3,X5)) )
        & ok(im_succ_cpq(triple(X1,X3,X5)))
        & check_cpq(im_succ_cpq(triple(X1,X3,X5)))
        & succ_cpq(triple(X2,X4,X0),triple(X1,X3,X5)) ) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ( ! [X7,X6,X8] :
        ( ! [X10,X9,X11] :
            ( ~ ok(triple(X10,X9,X11))
            | ~ check_cpq(triple(X10,X9,X11))
            | ~ succ_cpq(triple(X8,X6,X7),triple(X10,X9,X11)) )
        | ( ok(triple(X8,X6,X7))
          & check_cpq(triple(X8,X6,X7)) ) )
    | ? [X2,X5,X1,X0,X3,X4] :
        ( check_cpq(im_succ_cpq(triple(X1,X3,X5)))
        & ok(im_succ_cpq(triple(X1,X3,X5)))
        & ( ~ check_cpq(triple(X1,X3,X5))
          | ~ ok(triple(X1,X3,X5)) )
        & succ_cpq(triple(X2,X4,X0),triple(X1,X3,X5)) ) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,plain,
    ( ! [X2,X5,X1,X0,X3,X4] :
        ( succ_cpq(triple(X2,X4,X0),triple(X1,X3,X5))
       => ( ( ~ check_cpq(triple(X1,X3,X5))
            | ~ ok(triple(X1,X3,X5)) )
         => ( ~ check_cpq(im_succ_cpq(triple(X1,X3,X5)))
            | ~ ok(im_succ_cpq(triple(X1,X3,X5))) ) ) )
   => ! [X7,X6,X8] :
        ( ( ~ check_cpq(triple(X8,X6,X7))
          | ~ ok(triple(X8,X6,X7)) )
       => ! [X10,X9,X11] :
            ( succ_cpq(triple(X8,X6,X7),triple(X10,X9,X11))
           => ( ~ ok(triple(X10,X9,X11))
              | ~ check_cpq(triple(X10,X9,X11)) ) ) ) ),
    inference(rectify,[],[f42]) ).

fof(f42,axiom,
    ( ! [X2,X3,X0,X4,X1,X5] :
        ( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
       => ( ( ~ ok(triple(X3,X4,X5))
            | ~ check_cpq(triple(X3,X4,X5)) )
         => ( ~ check_cpq(im_succ_cpq(triple(X3,X4,X5)))
            | ~ ok(im_succ_cpq(triple(X3,X4,X5))) ) ) )
   => ! [X7,X8,X6] :
        ( ( ~ check_cpq(triple(X6,X7,X8))
          | ~ ok(triple(X6,X7,X8)) )
       => ! [X10,X9,X11] :
            ( succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11))
           => ( ~ check_cpq(triple(X9,X10,X11))
              | ~ ok(triple(X9,X10,X11)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l20_induction) ).

fof(f257,plain,
    ( spl12_4
    | spl12_7 ),
    inference(avatar_split_clause,[],[f201,f254,f238]) ).

fof(f201,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ok(im_succ_cpq(triple(sK7,sK8,sK6)))
      | ~ ok(triple(X4,X5,X3))
      | ~ succ_cpq(triple(X1,X0,X2),triple(X4,X5,X3))
      | check_cpq(triple(X1,X0,X2))
      | ~ check_cpq(triple(X4,X5,X3)) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f252,plain,
    ( spl12_1
    | spl12_4 ),
    inference(avatar_split_clause,[],[f200,f238,f226]) ).

fof(f200,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( check_cpq(triple(X1,X0,X2))
      | check_cpq(im_succ_cpq(triple(sK7,sK8,sK6)))
      | ~ succ_cpq(triple(X1,X0,X2),triple(X4,X5,X3))
      | ~ check_cpq(triple(X4,X5,X3))
      | ~ ok(triple(X4,X5,X3)) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f251,plain,
    ( ~ spl12_5
    | ~ spl12_6
    | spl12_4 ),
    inference(avatar_split_clause,[],[f202,f238,f246,f242]) ).

fof(f202,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ succ_cpq(triple(X1,X0,X2),triple(X4,X5,X3))
      | ~ ok(triple(sK7,sK8,sK6))
      | ~ check_cpq(triple(sK7,sK8,sK6))
      | check_cpq(triple(X1,X0,X2))
      | ~ ok(triple(X4,X5,X3))
      | ~ check_cpq(triple(X4,X5,X3)) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f249,plain,
    ( ~ spl12_5
    | ~ spl12_6
    | spl12_2 ),
    inference(avatar_split_clause,[],[f206,f230,f246,f242]) ).

fof(f206,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ check_cpq(triple(X4,X5,X3))
      | ~ succ_cpq(triple(X1,X0,X2),triple(X4,X5,X3))
      | ~ ok(triple(sK7,sK8,sK6))
      | ~ check_cpq(triple(sK7,sK8,sK6))
      | ok(triple(X1,X0,X2))
      | ~ ok(triple(X4,X5,X3)) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f232,plain,
    ( spl12_1
    | spl12_2 ),
    inference(avatar_split_clause,[],[f204,f230,f226]) ).

fof(f204,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ ok(triple(X4,X5,X3))
      | check_cpq(im_succ_cpq(triple(sK7,sK8,sK6)))
      | ok(triple(X1,X0,X2))
      | ~ check_cpq(triple(X4,X5,X3))
      | ~ succ_cpq(triple(X1,X0,X2),triple(X4,X5,X3)) ),
    inference(cnf_transformation,[],[f146]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV384+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n023.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 19:42:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (25851)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.50  % (25858)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50  % (25864)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50  % (25858)Instruction limit reached!
% 0.20/0.50  % (25858)------------------------------
% 0.20/0.50  % (25858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (25855)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (25866)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.51  % (25880)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.51  % (25872)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52  TRYING [1]
% 0.20/0.52  % (25858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (25858)Termination reason: Unknown
% 0.20/0.52  % (25858)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (25858)Memory used [KB]: 5628
% 0.20/0.52  % (25858)Time elapsed: 0.092 s
% 0.20/0.52  % (25858)Instructions burned: 7 (million)
% 0.20/0.52  % (25858)------------------------------
% 0.20/0.52  % (25858)------------------------------
% 0.20/0.52  % (25873)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52  TRYING [2]
% 0.20/0.52  % (25878)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.53  % (25852)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (25859)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (25853)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53  % (25859)Instruction limit reached!
% 0.20/0.53  % (25859)------------------------------
% 0.20/0.53  % (25859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (25859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (25859)Termination reason: Unknown
% 0.20/0.53  % (25859)Termination phase: Preprocessing 3
% 0.20/0.53  
% 0.20/0.53  % (25859)Memory used [KB]: 1023
% 0.20/0.53  % (25859)Time elapsed: 0.002 s
% 0.20/0.53  % (25859)Instructions burned: 3 (million)
% 0.20/0.53  % (25859)------------------------------
% 0.20/0.53  % (25859)------------------------------
% 0.20/0.53  % (25856)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53  % (25854)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (25870)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (25857)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (25875)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (25868)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (25869)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (25871)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.54  % (25865)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54  % (25867)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (25862)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (25860)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (25861)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (25863)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55  % (25876)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55  TRYING [3]
% 0.20/0.55  % (25877)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55  % (25879)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55  % (25874)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.56  % (25852)First to succeed.
% 0.20/0.56  TRYING [1]
% 0.20/0.56  TRYING [2]
% 0.20/0.56  TRYING [1]
% 0.20/0.57  TRYING [2]
% 1.77/0.59  % (25856)Instruction limit reached!
% 1.77/0.59  % (25856)------------------------------
% 1.77/0.59  % (25856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.59  % (25856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.59  % (25856)Termination reason: Unknown
% 1.77/0.59  % (25856)Termination phase: Saturation
% 1.77/0.59  
% 1.77/0.59  % (25856)Memory used [KB]: 5756
% 1.77/0.59  % (25856)Time elapsed: 0.168 s
% 1.77/0.59  % (25856)Instructions burned: 50 (million)
% 1.77/0.59  % (25856)------------------------------
% 1.77/0.59  % (25856)------------------------------
% 1.77/0.59  % (25853)Instruction limit reached!
% 1.77/0.59  % (25853)------------------------------
% 1.77/0.59  % (25853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.59  % (25853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.59  % (25853)Termination reason: Unknown
% 1.77/0.59  % (25853)Termination phase: Saturation
% 1.77/0.59  
% 1.77/0.59  % (25853)Memory used [KB]: 1535
% 1.77/0.59  % (25853)Time elapsed: 0.169 s
% 1.77/0.59  % (25853)Instructions burned: 37 (million)
% 1.77/0.59  % (25853)------------------------------
% 1.77/0.59  % (25853)------------------------------
% 1.77/0.59  % (25852)Refutation found. Thanks to Tanya!
% 1.77/0.59  % SZS status Theorem for theBenchmark
% 1.77/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.77/0.59  % (25852)------------------------------
% 1.77/0.59  % (25852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.59  % (25852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.59  % (25852)Termination reason: Refutation
% 1.77/0.59  
% 1.77/0.59  % (25852)Memory used [KB]: 5884
% 1.77/0.59  % (25852)Time elapsed: 0.153 s
% 1.77/0.59  % (25852)Instructions burned: 16 (million)
% 1.77/0.59  % (25852)------------------------------
% 1.77/0.59  % (25852)------------------------------
% 1.77/0.59  % (25850)Success in time 0.233 s
%------------------------------------------------------------------------------