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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n015.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 15:53:49 EDT 2022

% Result   : Theorem 0.16s 0.54s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   63 (  10 unt;   0 def)
%            Number of atoms       :  319 (   0 equ)
%            Maximal formula atoms :   18 (   5 avg)
%            Number of connectives :  396 ( 140   ~; 160   |;  81   &)
%                                         (   6 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-3 aty)
%            Number of variables   :  114 (  91   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f633,plain,
    $false,
    inference(subsumption_resolution,[],[f632,f128]) ).

fof(f128,plain,
    aRewritingSystem0(xR),
    inference(cnf_transformation,[],[f15]) ).

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

fof(f632,plain,
    ~ aRewritingSystem0(xR),
    inference(resolution,[],[f623,f150]) ).

fof(f150,plain,
    ! [X0] :
      ( sP3(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | sP3(X0) ),
    inference(definition_folding,[],[f52,f61,f60]) ).

fof(f60,plain,
    ! [X0] :
      ( sP2(X0)
    <=> ! [X3,X1,X2] :
          ( ~ aElement0(X1)
          | ~ sdtmndtasgtdt0(X3,X0,X2)
          | ~ aElement0(X2)
          | ~ sdtmndtasgtdt0(X3,X0,X1)
          | ~ aElement0(X3)
          | ? [X4] :
              ( aElement0(X4)
              & sdtmndtasgtdt0(X2,X0,X4)
              & sdtmndtasgtdt0(X1,X0,X4) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f61,plain,
    ! [X0] :
      ( ( sP2(X0)
      <=> isConfluent0(X0) )
      | ~ sP3(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | ( ! [X3,X1,X2] :
            ( ~ aElement0(X1)
            | ~ sdtmndtasgtdt0(X3,X0,X2)
            | ~ aElement0(X2)
            | ~ sdtmndtasgtdt0(X3,X0,X1)
            | ~ aElement0(X3)
            | ? [X4] :
                ( aElement0(X4)
                & sdtmndtasgtdt0(X2,X0,X4)
                & sdtmndtasgtdt0(X1,X0,X4) ) )
      <=> isConfluent0(X0) ) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ( isConfluent0(X0)
      <=> ! [X1,X3,X2] :
            ( ? [X4] :
                ( aElement0(X4)
                & sdtmndtasgtdt0(X2,X0,X4)
                & sdtmndtasgtdt0(X1,X0,X4) )
            | ~ sdtmndtasgtdt0(X3,X0,X2)
            | ~ sdtmndtasgtdt0(X3,X0,X1)
            | ~ aElement0(X2)
            | ~ aElement0(X1)
            | ~ aElement0(X3) ) )
      | ~ aRewritingSystem0(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0] :
      ( aRewritingSystem0(X0)
     => ( isConfluent0(X0)
      <=> ! [X1,X3,X2] :
            ( ( sdtmndtasgtdt0(X3,X0,X2)
              & sdtmndtasgtdt0(X3,X0,X1)
              & aElement0(X2)
              & aElement0(X1)
              & aElement0(X3) )
           => ? [X4] :
                ( aElement0(X4)
                & sdtmndtasgtdt0(X2,X0,X4)
                & sdtmndtasgtdt0(X1,X0,X4) ) ) ) ),
    inference(rectify,[],[f10]) ).

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

fof(f623,plain,
    ~ sP3(xR),
    inference(subsumption_resolution,[],[f622,f115]) ).

fof(f115,plain,
    ~ isConfluent0(xR),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,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(f622,plain,
    ( isConfluent0(xR)
    | ~ sP3(xR) ),
    inference(resolution,[],[f618,f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ~ sP2(X0)
      | isConfluent0(X0)
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ( ( sP2(X0)
          | ~ isConfluent0(X0) )
        & ( isConfluent0(X0)
          | ~ sP2(X0) ) )
      | ~ sP3(X0) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f618,plain,
    sP2(xR),
    inference(subsumption_resolution,[],[f617,f320]) ).

fof(f320,plain,
    ( aElement0(sK6(sK15(xR),sK16(xR)))
    | sP2(xR) ),
    inference(subsumption_resolution,[],[f316,f149]) ).

fof(f149,plain,
    ! [X0] :
      ( aElement0(sK15(X0))
      | sP2(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0] :
      ( ( sP2(X0)
        | ( aElement0(sK15(X0))
          & sdtmndtasgtdt0(sK14(X0),X0,sK16(X0))
          & aElement0(sK16(X0))
          & sdtmndtasgtdt0(sK14(X0),X0,sK15(X0))
          & aElement0(sK14(X0))
          & ! [X4] :
              ( ~ aElement0(X4)
              | ~ sdtmndtasgtdt0(sK16(X0),X0,X4)
              | ~ sdtmndtasgtdt0(sK15(X0),X0,X4) ) ) )
      & ( ! [X5,X6,X7] :
            ( ~ aElement0(X6)
            | ~ sdtmndtasgtdt0(X5,X0,X7)
            | ~ aElement0(X7)
            | ~ sdtmndtasgtdt0(X5,X0,X6)
            | ~ aElement0(X5)
            | ( aElement0(sK17(X0,X6,X7))
              & sdtmndtasgtdt0(X7,X0,sK17(X0,X6,X7))
              & sdtmndtasgtdt0(X6,X0,sK17(X0,X6,X7)) ) )
        | ~ sP2(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17])],[f95,f97,f96]) ).

fof(f96,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( aElement0(X2)
          & sdtmndtasgtdt0(X1,X0,X3)
          & aElement0(X3)
          & sdtmndtasgtdt0(X1,X0,X2)
          & aElement0(X1)
          & ! [X4] :
              ( ~ aElement0(X4)
              | ~ sdtmndtasgtdt0(X3,X0,X4)
              | ~ sdtmndtasgtdt0(X2,X0,X4) ) )
     => ( aElement0(sK15(X0))
        & sdtmndtasgtdt0(sK14(X0),X0,sK16(X0))
        & aElement0(sK16(X0))
        & sdtmndtasgtdt0(sK14(X0),X0,sK15(X0))
        & aElement0(sK14(X0))
        & ! [X4] :
            ( ~ aElement0(X4)
            | ~ sdtmndtasgtdt0(sK16(X0),X0,X4)
            | ~ sdtmndtasgtdt0(sK15(X0),X0,X4) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f97,plain,
    ! [X0,X6,X7] :
      ( ? [X8] :
          ( aElement0(X8)
          & sdtmndtasgtdt0(X7,X0,X8)
          & sdtmndtasgtdt0(X6,X0,X8) )
     => ( aElement0(sK17(X0,X6,X7))
        & sdtmndtasgtdt0(X7,X0,sK17(X0,X6,X7))
        & sdtmndtasgtdt0(X6,X0,sK17(X0,X6,X7)) ) ),
    introduced(choice_axiom,[]) ).

fof(f95,plain,
    ! [X0] :
      ( ( sP2(X0)
        | ? [X1,X2,X3] :
            ( aElement0(X2)
            & sdtmndtasgtdt0(X1,X0,X3)
            & aElement0(X3)
            & sdtmndtasgtdt0(X1,X0,X2)
            & aElement0(X1)
            & ! [X4] :
                ( ~ aElement0(X4)
                | ~ sdtmndtasgtdt0(X3,X0,X4)
                | ~ sdtmndtasgtdt0(X2,X0,X4) ) ) )
      & ( ! [X5,X6,X7] :
            ( ~ aElement0(X6)
            | ~ sdtmndtasgtdt0(X5,X0,X7)
            | ~ aElement0(X7)
            | ~ sdtmndtasgtdt0(X5,X0,X6)
            | ~ aElement0(X5)
            | ? [X8] :
                ( aElement0(X8)
                & sdtmndtasgtdt0(X7,X0,X8)
                & sdtmndtasgtdt0(X6,X0,X8) ) )
        | ~ sP2(X0) ) ),
    inference(rectify,[],[f94]) ).

fof(f94,plain,
    ! [X0] :
      ( ( sP2(X0)
        | ? [X3,X1,X2] :
            ( aElement0(X1)
            & sdtmndtasgtdt0(X3,X0,X2)
            & aElement0(X2)
            & sdtmndtasgtdt0(X3,X0,X1)
            & aElement0(X3)
            & ! [X4] :
                ( ~ aElement0(X4)
                | ~ sdtmndtasgtdt0(X2,X0,X4)
                | ~ sdtmndtasgtdt0(X1,X0,X4) ) ) )
      & ( ! [X3,X1,X2] :
            ( ~ aElement0(X1)
            | ~ sdtmndtasgtdt0(X3,X0,X2)
            | ~ aElement0(X2)
            | ~ sdtmndtasgtdt0(X3,X0,X1)
            | ~ aElement0(X3)
            | ? [X4] :
                ( aElement0(X4)
                & sdtmndtasgtdt0(X2,X0,X4)
                & sdtmndtasgtdt0(X1,X0,X4) ) )
        | ~ sP2(X0) ) ),
    inference(nnf_transformation,[],[f60]) ).

fof(f316,plain,
    ( aElement0(sK6(sK15(xR),sK16(xR)))
    | sP2(xR)
    | ~ aElement0(sK15(xR)) ),
    inference(duplicate_literal_removal,[],[f309]) ).

fof(f309,plain,
    ( sP2(xR)
    | ~ aElement0(sK15(xR))
    | aElement0(sK6(sK15(xR),sK16(xR)))
    | sP2(xR) ),
    inference(resolution,[],[f205,f146]) ).

fof(f146,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(sK14(X0),X0,sK15(X0))
      | sP2(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f205,plain,
    ! [X1] :
      ( ~ sdtmndtasgtdt0(sK14(xR),xR,X1)
      | ~ aElement0(X1)
      | sP2(xR)
      | aElement0(sK6(X1,sK16(xR))) ),
    inference(subsumption_resolution,[],[f204,f145]) ).

fof(f145,plain,
    ! [X0] :
      ( aElement0(sK14(X0))
      | sP2(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f204,plain,
    ! [X1] :
      ( ~ aElement0(sK14(xR))
      | ~ sdtmndtasgtdt0(sK14(xR),xR,X1)
      | sP2(xR)
      | aElement0(sK6(X1,sK16(xR)))
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f192,f147]) ).

fof(f147,plain,
    ! [X0] :
      ( aElement0(sK16(X0))
      | sP2(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f192,plain,
    ! [X1] :
      ( sP2(xR)
      | ~ aElement0(sK16(xR))
      | ~ aElement0(sK14(xR))
      | aElement0(sK6(X1,sK16(xR)))
      | ~ aElement0(X1)
      | ~ sdtmndtasgtdt0(sK14(xR),xR,X1) ),
    inference(resolution,[],[f110,f148]) ).

fof(f148,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(sK14(X0),X0,sK16(X0))
      | sP2(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f110,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ aElement0(X1)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | aElement0(sK6(X1,X2))
      | ~ aElement0(X2)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( ~ aElement0(X1)
      | ~ aElement0(X2)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ( aElement0(sK6(X1,X2))
        & sdtmndtasgtdt0(X1,xR,sK6(X1,X2))
        & sdtmndtasgtdt0(X2,xR,sK6(X1,X2)) )
      | ~ sdtmndtasgtdt0(X0,xR,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f71,f72]) ).

fof(f72,plain,
    ! [X1,X2] :
      ( ? [X3] :
          ( aElement0(X3)
          & sdtmndtasgtdt0(X1,xR,X3)
          & sdtmndtasgtdt0(X2,xR,X3) )
     => ( aElement0(sK6(X1,X2))
        & sdtmndtasgtdt0(X1,xR,sK6(X1,X2))
        & sdtmndtasgtdt0(X2,xR,sK6(X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( ~ aElement0(X1)
      | ~ aElement0(X2)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ? [X3] :
          ( aElement0(X3)
          & sdtmndtasgtdt0(X1,xR,X3)
          & sdtmndtasgtdt0(X2,xR,X3) )
      | ~ sdtmndtasgtdt0(X0,xR,X1) ),
    inference(rectify,[],[f42]) ).

fof(f42,plain,
    ! [X1,X2,X0] :
      ( ~ aElement0(X2)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ? [X3] :
          ( aElement0(X3)
          & sdtmndtasgtdt0(X2,xR,X3)
          & sdtmndtasgtdt0(X0,xR,X3) )
      | ~ sdtmndtasgtdt0(X1,xR,X2) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( aElement0(X3)
          & sdtmndtasgtdt0(X2,xR,X3)
          & sdtmndtasgtdt0(X0,xR,X3) )
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(X2)
      | ~ sdtmndtasgtdt0(X1,xR,X2) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( ( aElement0(X0)
        & aElement0(X1)
        & sdtmndtasgtdt0(X1,xR,X0)
        & aElement0(X2)
        & sdtmndtasgtdt0(X1,xR,X2) )
     => ? [X3] :
          ( aElement0(X3)
          & sdtmndtasgtdt0(X2,xR,X3)
          & sdtmndtasgtdt0(X0,xR,X3) ) ),
    inference(rectify,[],[f17]) ).

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

fof(f617,plain,
    ( sP2(xR)
    | ~ aElement0(sK6(sK15(xR),sK16(xR))) ),
    inference(subsumption_resolution,[],[f612,f448]) ).

fof(f448,plain,
    ( sP2(xR)
    | sdtmndtasgtdt0(sK15(xR),xR,sK6(sK15(xR),sK16(xR))) ),
    inference(subsumption_resolution,[],[f447,f149]) ).

fof(f447,plain,
    ( sP2(xR)
    | sdtmndtasgtdt0(sK15(xR),xR,sK6(sK15(xR),sK16(xR)))
    | ~ aElement0(sK15(xR)) ),
    inference(duplicate_literal_removal,[],[f438]) ).

fof(f438,plain,
    ( sP2(xR)
    | ~ aElement0(sK15(xR))
    | sdtmndtasgtdt0(sK15(xR),xR,sK6(sK15(xR),sK16(xR)))
    | sP2(xR) ),
    inference(resolution,[],[f231,f146]) ).

fof(f231,plain,
    ! [X1] :
      ( ~ sdtmndtasgtdt0(sK14(xR),xR,X1)
      | sP2(xR)
      | sdtmndtasgtdt0(X1,xR,sK6(X1,sK16(xR)))
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f230,f147]) ).

fof(f230,plain,
    ! [X1] :
      ( sdtmndtasgtdt0(X1,xR,sK6(X1,sK16(xR)))
      | ~ sdtmndtasgtdt0(sK14(xR),xR,X1)
      | ~ aElement0(X1)
      | sP2(xR)
      | ~ aElement0(sK16(xR)) ),
    inference(subsumption_resolution,[],[f223,f145]) ).

fof(f223,plain,
    ! [X1] :
      ( ~ aElement0(sK14(xR))
      | ~ aElement0(X1)
      | sdtmndtasgtdt0(X1,xR,sK6(X1,sK16(xR)))
      | ~ aElement0(sK16(xR))
      | sP2(xR)
      | ~ sdtmndtasgtdt0(sK14(xR),xR,X1) ),
    inference(resolution,[],[f109,f148]) ).

fof(f109,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ aElement0(X2)
      | sdtmndtasgtdt0(X1,xR,sK6(X1,X2))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f612,plain,
    ( sP2(xR)
    | ~ sdtmndtasgtdt0(sK15(xR),xR,sK6(sK15(xR),sK16(xR)))
    | ~ aElement0(sK6(sK15(xR),sK16(xR))) ),
    inference(duplicate_literal_removal,[],[f611]) ).

fof(f611,plain,
    ( ~ aElement0(sK6(sK15(xR),sK16(xR)))
    | sP2(xR)
    | ~ sdtmndtasgtdt0(sK15(xR),xR,sK6(sK15(xR),sK16(xR)))
    | sP2(xR) ),
    inference(resolution,[],[f384,f144]) ).

fof(f144,plain,
    ! [X0,X4] :
      ( ~ sdtmndtasgtdt0(sK16(X0),X0,X4)
      | sP2(X0)
      | ~ aElement0(X4)
      | ~ sdtmndtasgtdt0(sK15(X0),X0,X4) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f384,plain,
    ( sdtmndtasgtdt0(sK16(xR),xR,sK6(sK15(xR),sK16(xR)))
    | sP2(xR) ),
    inference(subsumption_resolution,[],[f377,f147]) ).

fof(f377,plain,
    ( sP2(xR)
    | sdtmndtasgtdt0(sK16(xR),xR,sK6(sK15(xR),sK16(xR)))
    | ~ aElement0(sK16(xR)) ),
    inference(duplicate_literal_removal,[],[f372]) ).

fof(f372,plain,
    ( sP2(xR)
    | ~ aElement0(sK16(xR))
    | sdtmndtasgtdt0(sK16(xR),xR,sK6(sK15(xR),sK16(xR)))
    | sP2(xR) ),
    inference(resolution,[],[f218,f148]) ).

fof(f218,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK14(xR),xR,X0)
      | sdtmndtasgtdt0(X0,xR,sK6(sK15(xR),X0))
      | ~ aElement0(X0)
      | sP2(xR) ),
    inference(subsumption_resolution,[],[f217,f149]) ).

fof(f217,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK14(xR),xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(sK15(xR))
      | sP2(xR)
      | sdtmndtasgtdt0(X0,xR,sK6(sK15(xR),X0)) ),
    inference(subsumption_resolution,[],[f207,f145]) ).

fof(f207,plain,
    ! [X0] :
      ( ~ aElement0(sK14(xR))
      | ~ sdtmndtasgtdt0(sK14(xR),xR,X0)
      | ~ aElement0(sK15(xR))
      | sdtmndtasgtdt0(X0,xR,sK6(sK15(xR),X0))
      | sP2(xR)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f108,f146]) ).

fof(f108,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | sdtmndtasgtdt0(X2,xR,sK6(X1,X2)) ),
    inference(cnf_transformation,[],[f73]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : COM023+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31  % Computer : n015.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Aug 29 17:19:20 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.16/0.47  % (18854)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)
% 0.16/0.48  % (18846)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)
% 0.16/0.48  % (18863)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)
% 0.16/0.48  % (18855)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)
% 0.16/0.48  TRYING [1]
% 0.16/0.49  % (18862)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)
% 0.16/0.49  % (18847)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.50  TRYING [2]
% 0.16/0.50  TRYING [3]
% 0.16/0.51  TRYING [4]
% 0.16/0.51  % (18847)Instruction limit reached!
% 0.16/0.51  % (18847)------------------------------
% 0.16/0.51  % (18847)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (18847)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (18847)Termination reason: Unknown
% 0.16/0.51  % (18847)Termination phase: Saturation
% 0.16/0.51  
% 0.16/0.51  % (18847)Memory used [KB]: 5500
% 0.16/0.51  % (18847)Time elapsed: 0.079 s
% 0.16/0.51  % (18847)Instructions burned: 8 (million)
% 0.16/0.51  % (18847)------------------------------
% 0.16/0.51  % (18847)------------------------------
% 0.16/0.52  % (18842)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)
% 0.16/0.52  % (18849)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)
% 0.16/0.52  % (18853)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.52  % (18844)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.52  % (18843)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)
% 0.16/0.52  % (18840)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)
% 0.16/0.52  % (18850)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.52  % (18851)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)
% 0.16/0.52  % (18852)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.53  % (18841)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)
% 0.16/0.53  % (18855)First to succeed.
% 0.16/0.53  % (18845)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)
% 0.16/0.53  % (18856)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)
% 0.16/0.53  % (18857)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.53  % (18866)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)
% 0.16/0.53  % (18867)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)
% 0.16/0.53  % (18868)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.54  % (18855)Refutation found. Thanks to Tanya!
% 0.16/0.54  % SZS status Theorem for theBenchmark
% 0.16/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.54  % (18855)------------------------------
% 0.16/0.54  % (18855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54  % (18855)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54  % (18855)Termination reason: Refutation
% 0.16/0.54  
% 0.16/0.54  % (18855)Memory used [KB]: 1279
% 0.16/0.54  % (18855)Time elapsed: 0.093 s
% 0.16/0.54  % (18855)Instructions burned: 25 (million)
% 0.16/0.54  % (18855)------------------------------
% 0.16/0.54  % (18855)------------------------------
% 0.16/0.54  % (18839)Success in time 0.217 s
%------------------------------------------------------------------------------