TSTP Solution File: COM023+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COM023+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n019.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 15:53:14 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   69 (   9 unt;   0 def)
%            Number of atoms       :  342 (   0 equ)
%            Maximal formula atoms :   19 (   4 avg)
%            Number of connectives :  450 ( 177   ~; 182   |;  70   &)
%                                         (  13 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  13 usr;  10 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-3 aty)
%            Number of variables   :  100 (  80   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f459,plain,
    $false,
    inference(avatar_sat_refutation,[],[f148,f150,f152,f261,f348,f384,f386,f390,f428,f449]) ).

fof(f449,plain,
    ( spl14_3
    | ~ spl14_1
    | spl14_40 ),
    inference(avatar_split_clause,[],[f446,f425,f128,f136]) ).

fof(f136,plain,
    ( spl14_3
  <=> isConfluent0(xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).

fof(f128,plain,
    ( spl14_1
  <=> aRewritingSystem0(xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f425,plain,
    ( spl14_40
  <=> sdtmndtasgtdt0(sK10(xR),xR,sK8(xR)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_40])]) ).

fof(f446,plain,
    ( ~ aRewritingSystem0(xR)
    | isConfluent0(xR)
    | spl14_40 ),
    inference(resolution,[],[f427,f103]) ).

fof(f103,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(sK10(X0),X0,sK8(X0))
      | ~ aRewritingSystem0(X0)
      | isConfluent0(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | ( ( ! [X1,X2,X3] :
              ( ~ sdtmndtasgtdt0(X3,X0,X1)
              | ~ aElement0(X2)
              | ( sdtmndtasgtdt0(X1,X0,sK7(X0,X1,X2))
                & sdtmndtasgtdt0(X2,X0,sK7(X0,X1,X2))
                & aElement0(sK7(X0,X1,X2)) )
              | ~ sdtmndtasgtdt0(X3,X0,X2)
              | ~ aElement0(X1)
              | ~ aElement0(X3) )
          | ~ isConfluent0(X0) )
        & ( isConfluent0(X0)
          | ( sdtmndtasgtdt0(sK10(X0),X0,sK8(X0))
            & aElement0(sK9(X0))
            & ! [X8] :
                ( ~ sdtmndtasgtdt0(sK8(X0),X0,X8)
                | ~ sdtmndtasgtdt0(sK9(X0),X0,X8)
                | ~ aElement0(X8) )
            & sdtmndtasgtdt0(sK10(X0),X0,sK9(X0))
            & aElement0(sK8(X0))
            & aElement0(sK10(X0)) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f64,f66,f65]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( sdtmndtasgtdt0(X1,X0,X4)
          & sdtmndtasgtdt0(X2,X0,X4)
          & aElement0(X4) )
     => ( sdtmndtasgtdt0(X1,X0,sK7(X0,X1,X2))
        & sdtmndtasgtdt0(X2,X0,sK7(X0,X1,X2))
        & aElement0(sK7(X0,X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f66,plain,
    ! [X0] :
      ( ? [X5,X6,X7] :
          ( sdtmndtasgtdt0(X7,X0,X5)
          & aElement0(X6)
          & ! [X8] :
              ( ~ sdtmndtasgtdt0(X5,X0,X8)
              | ~ sdtmndtasgtdt0(X6,X0,X8)
              | ~ aElement0(X8) )
          & sdtmndtasgtdt0(X7,X0,X6)
          & aElement0(X5)
          & aElement0(X7) )
     => ( sdtmndtasgtdt0(sK10(X0),X0,sK8(X0))
        & aElement0(sK9(X0))
        & ! [X8] :
            ( ~ sdtmndtasgtdt0(sK8(X0),X0,X8)
            | ~ sdtmndtasgtdt0(sK9(X0),X0,X8)
            | ~ aElement0(X8) )
        & sdtmndtasgtdt0(sK10(X0),X0,sK9(X0))
        & aElement0(sK8(X0))
        & aElement0(sK10(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f64,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | ( ( ! [X1,X2,X3] :
              ( ~ sdtmndtasgtdt0(X3,X0,X1)
              | ~ aElement0(X2)
              | ? [X4] :
                  ( sdtmndtasgtdt0(X1,X0,X4)
                  & sdtmndtasgtdt0(X2,X0,X4)
                  & aElement0(X4) )
              | ~ sdtmndtasgtdt0(X3,X0,X2)
              | ~ aElement0(X1)
              | ~ aElement0(X3) )
          | ~ isConfluent0(X0) )
        & ( isConfluent0(X0)
          | ? [X5,X6,X7] :
              ( sdtmndtasgtdt0(X7,X0,X5)
              & aElement0(X6)
              & ! [X8] :
                  ( ~ sdtmndtasgtdt0(X5,X0,X8)
                  | ~ sdtmndtasgtdt0(X6,X0,X8)
                  | ~ aElement0(X8) )
              & sdtmndtasgtdt0(X7,X0,X6)
              & aElement0(X5)
              & aElement0(X7) ) ) ) ),
    inference(rectify,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | ( ( ! [X1,X3,X2] :
              ( ~ sdtmndtasgtdt0(X2,X0,X1)
              | ~ aElement0(X3)
              | ? [X4] :
                  ( sdtmndtasgtdt0(X1,X0,X4)
                  & sdtmndtasgtdt0(X3,X0,X4)
                  & aElement0(X4) )
              | ~ sdtmndtasgtdt0(X2,X0,X3)
              | ~ aElement0(X1)
              | ~ aElement0(X2) )
          | ~ isConfluent0(X0) )
        & ( isConfluent0(X0)
          | ? [X1,X3,X2] :
              ( sdtmndtasgtdt0(X2,X0,X1)
              & aElement0(X3)
              & ! [X4] :
                  ( ~ sdtmndtasgtdt0(X1,X0,X4)
                  | ~ sdtmndtasgtdt0(X3,X0,X4)
                  | ~ aElement0(X4) )
              & sdtmndtasgtdt0(X2,X0,X3)
              & aElement0(X1)
              & aElement0(X2) ) ) ) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | ( ! [X1,X3,X2] :
            ( ~ sdtmndtasgtdt0(X2,X0,X1)
            | ~ aElement0(X3)
            | ? [X4] :
                ( sdtmndtasgtdt0(X1,X0,X4)
                & sdtmndtasgtdt0(X3,X0,X4)
                & aElement0(X4) )
            | ~ sdtmndtasgtdt0(X2,X0,X3)
            | ~ aElement0(X1)
            | ~ aElement0(X2) )
      <=> isConfluent0(X0) ) ),
    inference(flattening,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ( isConfluent0(X0)
      <=> ! [X1,X2,X3] :
            ( ? [X4] :
                ( sdtmndtasgtdt0(X1,X0,X4)
                & sdtmndtasgtdt0(X3,X0,X4)
                & aElement0(X4) )
            | ~ aElement0(X1)
            | ~ sdtmndtasgtdt0(X2,X0,X3)
            | ~ aElement0(X2)
            | ~ sdtmndtasgtdt0(X2,X0,X1)
            | ~ aElement0(X3) ) )
      | ~ aRewritingSystem0(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0] :
      ( aRewritingSystem0(X0)
     => ( isConfluent0(X0)
      <=> ! [X1,X2,X3] :
            ( ( aElement0(X1)
              & sdtmndtasgtdt0(X2,X0,X3)
              & aElement0(X2)
              & sdtmndtasgtdt0(X2,X0,X1)
              & aElement0(X3) )
           => ? [X4] :
                ( sdtmndtasgtdt0(X1,X0,X4)
                & sdtmndtasgtdt0(X3,X0,X4)
                & aElement0(X4) ) ) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( aRewritingSystem0(X0)
     => ( ! [X2,X1,X3] :
            ( ( sdtmndtasgtdt0(X1,X0,X3)
              & aElement0(X1)
              & aElement0(X3)
              & aElement0(X2)
              & sdtmndtasgtdt0(X1,X0,X2) )
           => ? [X4] :
                ( aElement0(X4)
                & sdtmndtasgtdt0(X3,X0,X4)
                & sdtmndtasgtdt0(X2,X0,X4) ) )
      <=> isConfluent0(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCRDef) ).

fof(f427,plain,
    ( ~ sdtmndtasgtdt0(sK10(xR),xR,sK8(xR))
    | spl14_40 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f428,plain,
    ( ~ spl14_1
    | ~ spl14_21
    | spl14_3
    | ~ spl14_40
    | ~ spl14_9 ),
    inference(avatar_split_clause,[],[f417,f195,f425,f136,f243,f128]) ).

fof(f243,plain,
    ( spl14_21
  <=> aElement0(sK10(xR)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_21])]) ).

fof(f195,plain,
    ( spl14_9
  <=> ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,sK8(xR))
        | ~ aElement0(X0)
        | ~ sdtmndtasgtdt0(X0,xR,sK9(xR)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).

fof(f417,plain,
    ( ~ sdtmndtasgtdt0(sK10(xR),xR,sK8(xR))
    | isConfluent0(xR)
    | ~ aElement0(sK10(xR))
    | ~ aRewritingSystem0(xR)
    | ~ spl14_9 ),
    inference(resolution,[],[f196,f100]) ).

fof(f100,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(sK10(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | isConfluent0(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f196,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,sK9(xR))
        | ~ aElement0(X0)
        | ~ sdtmndtasgtdt0(X0,xR,sK8(xR)) )
    | ~ spl14_9 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f390,plain,
    ( ~ spl14_2
    | ~ spl14_6
    | spl14_9
    | spl14_26 ),
    inference(avatar_split_clause,[],[f389,f340,f195,f183,f132]) ).

fof(f132,plain,
    ( spl14_2
  <=> aElement0(sK9(xR)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).

fof(f183,plain,
    ( spl14_6
  <=> aElement0(sK8(xR)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).

fof(f340,plain,
    ( spl14_26
  <=> aElement0(sK13(sK9(xR),sK8(xR))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_26])]) ).

fof(f389,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,sK8(xR))
        | ~ aElement0(sK8(xR))
        | ~ aElement0(X0)
        | ~ aElement0(sK9(xR))
        | ~ sdtmndtasgtdt0(X0,xR,sK9(xR)) )
    | spl14_26 ),
    inference(resolution,[],[f342,f124]) ).

fof(f124,plain,
    ! [X2,X0,X1] :
      ( aElement0(sK13(X1,X2))
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ( aElement0(sK13(X1,X2))
        & sdtmndtasgtdt0(X1,xR,sK13(X1,X2))
        & sdtmndtasgtdt0(X2,xR,sK13(X1,X2)) )
      | ~ aElement0(X2)
      | ~ aElement0(X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f47,f80]) ).

fof(f80,plain,
    ! [X1,X2] :
      ( ? [X3] :
          ( aElement0(X3)
          & sdtmndtasgtdt0(X1,xR,X3)
          & sdtmndtasgtdt0(X2,xR,X3) )
     => ( aElement0(sK13(X1,X2))
        & sdtmndtasgtdt0(X1,xR,sK13(X1,X2))
        & sdtmndtasgtdt0(X2,xR,sK13(X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ? [X3] :
          ( aElement0(X3)
          & sdtmndtasgtdt0(X1,xR,X3)
          & sdtmndtasgtdt0(X2,xR,X3) )
      | ~ aElement0(X2)
      | ~ aElement0(X1) ),
    inference(flattening,[],[f46]) ).

fof(f46,plain,
    ! [X0,X2,X1] :
      ( ? [X3] :
          ( aElement0(X3)
          & sdtmndtasgtdt0(X1,xR,X3)
          & sdtmndtasgtdt0(X2,xR,X3) )
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ aElement0(X2)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X2,X1] :
      ( ( sdtmndtasgtdt0(X0,xR,X2)
        & aElement0(X2)
        & sdtmndtasgtdt0(X0,xR,X1)
        & aElement0(X0)
        & aElement0(X1) )
     => ? [X3] :
          ( aElement0(X3)
          & sdtmndtasgtdt0(X1,xR,X3)
          & sdtmndtasgtdt0(X2,xR,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__715) ).

fof(f342,plain,
    ( ~ aElement0(sK13(sK9(xR),sK8(xR)))
    | spl14_26 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f386,plain,
    ( ~ spl14_1
    | spl14_3
    | spl14_21 ),
    inference(avatar_split_clause,[],[f385,f243,f136,f128]) ).

fof(f385,plain,
    ( isConfluent0(xR)
    | ~ aRewritingSystem0(xR)
    | spl14_21 ),
    inference(resolution,[],[f245,f98]) ).

fof(f98,plain,
    ! [X0] :
      ( aElement0(sK10(X0))
      | isConfluent0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f245,plain,
    ( ~ aElement0(sK10(xR))
    | spl14_21 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f384,plain,
    ( ~ spl14_1
    | spl14_3
    | spl14_6 ),
    inference(avatar_split_clause,[],[f383,f183,f136,f128]) ).

fof(f383,plain,
    ( isConfluent0(xR)
    | ~ aRewritingSystem0(xR)
    | spl14_6 ),
    inference(resolution,[],[f185,f99]) ).

fof(f99,plain,
    ! [X0] :
      ( aElement0(sK8(X0))
      | ~ aRewritingSystem0(X0)
      | isConfluent0(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f185,plain,
    ( ~ aElement0(sK8(xR))
    | spl14_6 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f348,plain,
    ( spl14_9
    | spl14_9
    | ~ spl14_2
    | ~ spl14_26
    | ~ spl14_6
    | ~ spl14_5 ),
    inference(avatar_split_clause,[],[f330,f146,f183,f340,f132,f195,f195]) ).

fof(f146,plain,
    ( spl14_5
  <=> ! [X0,X1] :
        ( ~ aElement0(sK13(sK9(xR),X1))
        | ~ sdtmndtasgtdt0(X0,xR,sK9(xR))
        | ~ aElement0(X0)
        | ~ sdtmndtasgtdt0(X0,xR,X1)
        | ~ aElement0(X1)
        | ~ sdtmndtasgtdt0(sK8(xR),xR,sK13(sK9(xR),X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).

fof(f330,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(sK8(xR))
        | ~ aElement0(sK13(sK9(xR),sK8(xR)))
        | ~ aElement0(sK9(xR))
        | ~ sdtmndtasgtdt0(X1,xR,sK9(xR))
        | ~ aElement0(X1)
        | ~ aElement0(X0)
        | ~ sdtmndtasgtdt0(X0,xR,sK9(xR))
        | ~ sdtmndtasgtdt0(X0,xR,sK8(xR))
        | ~ sdtmndtasgtdt0(X1,xR,sK8(xR)) )
    | ~ spl14_5 ),
    inference(duplicate_literal_removal,[],[f304]) ).

fof(f304,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X1)
        | ~ aElement0(X0)
        | ~ sdtmndtasgtdt0(X1,xR,sK8(xR))
        | ~ sdtmndtasgtdt0(X0,xR,sK9(xR))
        | ~ aElement0(sK9(xR))
        | ~ sdtmndtasgtdt0(X1,xR,sK9(xR))
        | ~ aElement0(sK8(xR))
        | ~ sdtmndtasgtdt0(X0,xR,sK8(xR))
        | ~ aElement0(sK13(sK9(xR),sK8(xR)))
        | ~ aElement0(sK8(xR)) )
    | ~ spl14_5 ),
    inference(resolution,[],[f147,f122]) ).

fof(f122,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(X2,xR,sK13(X1,X2))
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ aElement0(X2) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f147,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(sK8(xR),xR,sK13(sK9(xR),X1))
        | ~ sdtmndtasgtdt0(X0,xR,sK9(xR))
        | ~ sdtmndtasgtdt0(X0,xR,X1)
        | ~ aElement0(X0)
        | ~ aElement0(sK13(sK9(xR),X1))
        | ~ aElement0(X1) )
    | ~ spl14_5 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f261,plain,
    ~ spl14_3,
    inference(avatar_contradiction_clause,[],[f260]) ).

fof(f260,plain,
    ( $false
    | ~ spl14_3 ),
    inference(resolution,[],[f138,f107]) ).

fof(f107,plain,
    ~ isConfluent0(xR),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ~ isConfluent0(xR),
    inference(flattening,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ isConfluent0(xR),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    isConfluent0(xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f138,plain,
    ( isConfluent0(xR)
    | ~ spl14_3 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f152,plain,
    ( ~ spl14_1
    | spl14_3
    | spl14_2 ),
    inference(avatar_split_clause,[],[f151,f132,f136,f128]) ).

fof(f151,plain,
    ( isConfluent0(xR)
    | ~ aRewritingSystem0(xR)
    | spl14_2 ),
    inference(resolution,[],[f134,f102]) ).

fof(f102,plain,
    ! [X0] :
      ( aElement0(sK9(X0))
      | ~ aRewritingSystem0(X0)
      | isConfluent0(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f134,plain,
    ( ~ aElement0(sK9(xR))
    | spl14_2 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f150,plain,
    spl14_1,
    inference(avatar_contradiction_clause,[],[f149]) ).

fof(f149,plain,
    ( $false
    | spl14_1 ),
    inference(resolution,[],[f130,f116]) ).

fof(f116,plain,
    aRewritingSystem0(xR),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).

fof(f130,plain,
    ( ~ aRewritingSystem0(xR)
    | spl14_1 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f148,plain,
    ( ~ spl14_1
    | spl14_3
    | ~ spl14_2
    | spl14_5 ),
    inference(avatar_split_clause,[],[f143,f146,f132,f136,f128]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ~ aElement0(sK13(sK9(xR),X1))
      | ~ sdtmndtasgtdt0(sK8(xR),xR,sK13(sK9(xR),X1))
      | ~ aElement0(X1)
      | ~ aElement0(sK9(xR))
      | isConfluent0(xR)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR)
      | ~ sdtmndtasgtdt0(X0,xR,sK9(xR)) ),
    inference(resolution,[],[f123,f101]) ).

fof(f101,plain,
    ! [X0,X8] :
      ( ~ sdtmndtasgtdt0(sK9(X0),X0,X8)
      | ~ aRewritingSystem0(X0)
      | isConfluent0(X0)
      | ~ aElement0(X8)
      | ~ sdtmndtasgtdt0(sK8(X0),X0,X8) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f123,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(X1,xR,sK13(X1,X2))
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ aElement0(X1) ),
    inference(cnf_transformation,[],[f81]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : COM023+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 17:11:35 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.47  % (20481)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)
% 0.19/0.47  % (20472)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)
% 0.19/0.48  % (20452)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.48  % (20472)First to succeed.
% 0.19/0.49  % (20461)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  % (20458)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)
% 0.19/0.50  % (20477)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)
% 0.19/0.51  % (20472)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (20472)------------------------------
% 0.19/0.51  % (20472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (20472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (20472)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (20472)Memory used [KB]: 6268
% 0.19/0.51  % (20472)Time elapsed: 0.105 s
% 0.19/0.51  % (20472)Instructions burned: 9 (million)
% 0.19/0.51  % (20472)------------------------------
% 0.19/0.51  % (20472)------------------------------
% 0.19/0.51  % (20447)Success in time 0.163 s
%------------------------------------------------------------------------------