TSTP Solution File: NUM574+3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM574+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.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 : Thu Aug 31 11:31:34 EDT 2023

% Result   : Theorem 9.93s 2.17s
% Output   : CNFRefutation 9.93s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f614)

% Comments : 
%------------------------------------------------------------------------------
fof(f24,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).

fof(f27,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( ? [X1] :
            ( szszuzczcdt0(X1) = X0
            & aElementOf0(X1,szNzAzT0) )
        | sz00 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).

fof(f30,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => sdtlseqdt0(sz00,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X0,szNzAzT0) )
     => ( ( sdtlseqdt0(X1,X0)
          & sdtlseqdt0(X0,X1) )
       => X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).

fof(f81,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( ( isCountable0(sdtlpdtrp0(xN,X0))
            & ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
              | ( ! [X1] :
                    ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
                   => aElementOf0(X1,szNzAzT0) )
                & aSet0(sdtlpdtrp0(xN,X0)) ) ) )
         => ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            & ! [X1] :
                ( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
               => aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
            & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            & ! [X1] :
                ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
              <=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
                  & aElementOf0(X1,sdtlpdtrp0(xN,X0))
                  & aElement0(X1) ) )
            & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            & ! [X1] :
                ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
            & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).

fof(f83,axiom,
    ( aElementOf0(xi,szNzAzT0)
    & aElementOf0(xj,szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3786) ).

fof(f86,conjecture,
    ( sdtlseqdt0(xj,xi)
   => ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
      | ! [X0] :
          ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
         => aElementOf0(X0,sdtlpdtrp0(xN,xj)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f87,negated_conjecture,
    ~ ( sdtlseqdt0(xj,xi)
     => ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
        | ! [X0] :
            ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
           => aElementOf0(X0,sdtlpdtrp0(xN,xj)) ) ) ),
    inference(negated_conjecture,[],[f86]) ).

fof(f97,plain,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( ( isCountable0(sdtlpdtrp0(xN,X0))
            & ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
              | ( ! [X1] :
                    ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
                   => aElementOf0(X1,szNzAzT0) )
                & aSet0(sdtlpdtrp0(xN,X0)) ) ) )
         => ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            & ! [X2] :
                ( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
               => aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
            & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            & ! [X3] :
                ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
              <=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
                  & aElementOf0(X3,sdtlpdtrp0(xN,X0))
                  & aElement0(X3) ) )
            & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            & ! [X4] :
                ( aElementOf0(X4,sdtlpdtrp0(xN,X0))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4) )
            & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(rectify,[],[f81]) ).

fof(f131,plain,
    ! [X0] :
      ( ? [X1] :
          ( szszuzczcdt0(X1) = X0
          & aElementOf0(X1,szNzAzT0) )
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f132,plain,
    ! [X0] :
      ( ? [X1] :
          ( szszuzczcdt0(X1) = X0
          & aElementOf0(X1,szNzAzT0) )
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f131]) ).

fof(f134,plain,
    ! [X0] :
      ( sdtlseqdt0(sz00,X0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f140]) ).

fof(f203,plain,
    ( ! [X0] :
        ( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & ! [X2] :
              ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
              | ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
          & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & ! [X3] :
              ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            <=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
                & aElementOf0(X3,sdtlpdtrp0(xN,X0))
                & aElement0(X3) ) )
          & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & ! [X4] :
              ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
              | ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
          & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
          & ( ? [X1] :
                ( ~ aElementOf0(X1,szNzAzT0)
                & aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
            | ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f204,plain,
    ( ! [X0] :
        ( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & ! [X2] :
              ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
              | ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
          & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & ! [X3] :
              ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            <=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
                & aElementOf0(X3,sdtlpdtrp0(xN,X0))
                & aElement0(X3) ) )
          & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & ! [X4] :
              ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
              | ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
          & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
          & ( ? [X1] :
                ( ~ aElementOf0(X1,szNzAzT0)
                & aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
            | ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(flattening,[],[f203]) ).

fof(f210,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    & ? [X0] :
        ( ~ aElementOf0(X0,sdtlpdtrp0(xN,xj))
        & aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
    & sdtlseqdt0(xj,xi) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f211,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    & ? [X0] :
        ( ~ aElementOf0(X0,sdtlpdtrp0(xN,xj))
        & aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
    & sdtlseqdt0(xj,xi) ),
    inference(flattening,[],[f210]) ).

fof(f223,plain,
    ! [X0] :
      ( ! [X3] :
          ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        <=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
            & aElementOf0(X3,sdtlpdtrp0(xN,X0))
            & aElement0(X3) ) )
      | ~ sP8(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f224,plain,
    ! [X0] :
      ( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        & ! [X2] :
            ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            | ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
        & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & sP8(X0)
        & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        & ! [X4] :
            ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
            | ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
        & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
      | ~ sP9(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f225,plain,
    ( ! [X0] :
        ( sP9(X0)
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
          & ( ? [X1] :
                ( ~ aElementOf0(X1,szNzAzT0)
                & aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
            | ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(definition_folding,[],[f204,f224,f223]) ).

fof(f248,plain,
    ! [X0] :
      ( ? [X1] :
          ( szszuzczcdt0(X1) = X0
          & aElementOf0(X1,szNzAzT0) )
     => ( szszuzczcdt0(sK14(X0)) = X0
        & aElementOf0(sK14(X0),szNzAzT0) ) ),
    introduced(choice_axiom,[]) ).

fof(f249,plain,
    ! [X0] :
      ( ( szszuzczcdt0(sK14(X0)) = X0
        & aElementOf0(sK14(X0),szNzAzT0) )
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f132,f248]) ).

fof(f332,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ aElementOf0(X1,szNzAzT0)
          & aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
     => ( ~ aElementOf0(sK39(X0),szNzAzT0)
        & aElementOf0(sK39(X0),sdtlpdtrp0(xN,X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f333,plain,
    ( ! [X0] :
        ( sP9(X0)
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
          & ( ( ~ aElementOf0(sK39(X0),szNzAzT0)
              & aElementOf0(sK39(X0),sdtlpdtrp0(xN,X0)) )
            | ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK39])],[f225,f332]) ).

fof(f335,plain,
    ( ? [X0] :
        ( ~ aElementOf0(X0,sdtlpdtrp0(xN,xj))
        & aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
   => ( ~ aElementOf0(sK40,sdtlpdtrp0(xN,xj))
      & aElementOf0(sK40,sdtlpdtrp0(xN,xi)) ) ),
    introduced(choice_axiom,[]) ).

fof(f336,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    & ~ aElementOf0(sK40,sdtlpdtrp0(xN,xj))
    & aElementOf0(sK40,sdtlpdtrp0(xN,xi))
    & sdtlseqdt0(xj,xi) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK40])],[f211,f335]) ).

fof(f384,plain,
    aElementOf0(sz00,szNzAzT0),
    inference(cnf_transformation,[],[f24]) ).

fof(f388,plain,
    ! [X0] :
      ( aElementOf0(sK14(X0),szNzAzT0)
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f249]) ).

fof(f389,plain,
    ! [X0] :
      ( szszuzczcdt0(sK14(X0)) = X0
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f249]) ).

fof(f391,plain,
    ! [X0] :
      ( sdtlseqdt0(sz00,X0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f397,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f551,plain,
    xS = sdtlpdtrp0(xN,sz00),
    inference(cnf_transformation,[],[f333]) ).

fof(f559,plain,
    aElementOf0(xj,szNzAzT0),
    inference(cnf_transformation,[],[f83]) ).

fof(f560,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f83]) ).

fof(f565,plain,
    sdtlseqdt0(xj,xi),
    inference(cnf_transformation,[],[f336]) ).

fof(f566,plain,
    aElementOf0(sK40,sdtlpdtrp0(xN,xi)),
    inference(cnf_transformation,[],[f336]) ).

fof(f567,plain,
    ~ aElementOf0(sK40,sdtlpdtrp0(xN,xj)),
    inference(cnf_transformation,[],[f336]) ).

fof(f568,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)),
    inference(cnf_transformation,[],[f336]) ).

cnf(c_96,plain,
    aElementOf0(sz00,szNzAzT0),
    inference(cnf_transformation,[],[f384]) ).

cnf(c_100,plain,
    ( ~ aElementOf0(X0,szNzAzT0)
    | szszuzczcdt0(sK14(X0)) = X0
    | X0 = sz00 ),
    inference(cnf_transformation,[],[f389]) ).

cnf(c_101,plain,
    ( ~ aElementOf0(X0,szNzAzT0)
    | X0 = sz00
    | aElementOf0(sK14(X0),szNzAzT0) ),
    inference(cnf_transformation,[],[f388]) ).

cnf(c_103,plain,
    ( ~ aElementOf0(X0,szNzAzT0)
    | sdtlseqdt0(sz00,X0) ),
    inference(cnf_transformation,[],[f391]) ).

cnf(c_109,plain,
    ( ~ sdtlseqdt0(X0,X1)
    | ~ sdtlseqdt0(X1,X0)
    | ~ aElementOf0(X0,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | X0 = X1 ),
    inference(cnf_transformation,[],[f397]) ).

cnf(c_264,plain,
    sdtlpdtrp0(xN,sz00) = xS,
    inference(cnf_transformation,[],[f551]) ).

cnf(c_271,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f560]) ).

cnf(c_272,plain,
    aElementOf0(xj,szNzAzT0),
    inference(cnf_transformation,[],[f559]) ).

cnf(c_275,plain,
    ( szszuzczcdt0(X0) != xi
    | ~ aElementOf0(X0,szNzAzT0)
    | ~ sdtlseqdt0(xj,xi)
    | aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
    inference(cnf_transformation,[],[f613]) ).

cnf(c_276,plain,
    ( szszuzczcdt0(X0) != xi
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
    | ~ aElementOf0(X0,szNzAzT0)
    | ~ sdtlseqdt0(xj,xi)
    | aElementOf0(X1,sdtlpdtrp0(xN,xj)) ),
    inference(cnf_transformation,[],[f614]) ).

cnf(c_277,negated_conjecture,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)),
    inference(cnf_transformation,[],[f568]) ).

cnf(c_278,negated_conjecture,
    ~ aElementOf0(sK40,sdtlpdtrp0(xN,xj)),
    inference(cnf_transformation,[],[f567]) ).

cnf(c_279,negated_conjecture,
    aElementOf0(sK40,sdtlpdtrp0(xN,xi)),
    inference(cnf_transformation,[],[f566]) ).

cnf(c_280,negated_conjecture,
    sdtlseqdt0(xj,xi),
    inference(cnf_transformation,[],[f565]) ).

cnf(c_466,plain,
    ( szszuzczcdt0(X0) != xi
    | ~ aElementOf0(X0,szNzAzT0) ),
    inference(global_subsumption_just,[status(thm)],[c_275,c_280,c_277,c_275]) ).

cnf(c_473,plain,
    ( szszuzczcdt0(X0) != xi
    | ~ aElementOf0(X0,szNzAzT0) ),
    inference(global_subsumption_just,[status(thm)],[c_276,c_466]) ).

cnf(c_28638,plain,
    sdtlseqdt0(sz00,xj),
    inference(superposition,[status(thm)],[c_272,c_103]) ).

cnf(c_31369,plain,
    ( szszuzczcdt0(sK14(xi)) = xi
    | sz00 = xi ),
    inference(superposition,[status(thm)],[c_271,c_100]) ).

cnf(c_38577,plain,
    ( ~ aElementOf0(sz00,szNzAzT0)
    | ~ aElementOf0(xj,szNzAzT0)
    | ~ sdtlseqdt0(xj,sz00)
    | sz00 = xj ),
    inference(superposition,[status(thm)],[c_28638,c_109]) ).

cnf(c_38614,plain,
    ( ~ sdtlseqdt0(xj,sz00)
    | sz00 = xj ),
    inference(forward_subsumption_resolution,[status(thm)],[c_38577,c_272,c_96]) ).

cnf(c_61125,plain,
    ( ~ aElementOf0(sK14(xi),szNzAzT0)
    | sz00 = xi ),
    inference(superposition,[status(thm)],[c_31369,c_473]) ).

cnf(c_61279,plain,
    ( ~ aElementOf0(xi,szNzAzT0)
    | sz00 = xi ),
    inference(superposition,[status(thm)],[c_101,c_61125]) ).

cnf(c_61280,plain,
    sz00 = xi,
    inference(forward_subsumption_resolution,[status(thm)],[c_61279,c_271]) ).

cnf(c_61321,plain,
    aElementOf0(sK40,sdtlpdtrp0(xN,sz00)),
    inference(demodulation,[status(thm)],[c_279,c_61280]) ).

cnf(c_61322,plain,
    sdtlseqdt0(xj,sz00),
    inference(demodulation,[status(thm)],[c_280,c_61280]) ).

cnf(c_61324,plain,
    sz00 = xj,
    inference(backward_subsumption_resolution,[status(thm)],[c_38614,c_61322]) ).

cnf(c_61350,plain,
    ~ aElementOf0(sK40,sdtlpdtrp0(xN,sz00)),
    inference(demodulation,[status(thm)],[c_278,c_61324]) ).

cnf(c_61351,plain,
    ~ aElementOf0(sK40,xS),
    inference(light_normalisation,[status(thm)],[c_61350,c_264]) ).

cnf(c_61364,plain,
    aElementOf0(sK40,xS),
    inference(light_normalisation,[status(thm)],[c_61321,c_264]) ).

cnf(c_61365,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_61351,c_61364]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM574+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n010.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 : Fri Aug 25 11:32:35 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.19/0.48  Running first-order theorem proving
% 0.19/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.93/2.17  % SZS status Started for theBenchmark.p
% 9.93/2.17  % SZS status Theorem for theBenchmark.p
% 9.93/2.17  
% 9.93/2.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.93/2.17  
% 9.93/2.17  ------  iProver source info
% 9.93/2.17  
% 9.93/2.17  git: date: 2023-05-31 18:12:56 +0000
% 9.93/2.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.93/2.17  git: non_committed_changes: false
% 9.93/2.17  git: last_make_outside_of_git: false
% 9.93/2.17  
% 9.93/2.17  ------ Parsing...
% 9.93/2.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 9.93/2.17  
% 9.93/2.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 9.93/2.17  
% 9.93/2.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 9.93/2.17  
% 9.93/2.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 9.93/2.17  ------ Proving...
% 9.93/2.17  ------ Problem Properties 
% 9.93/2.17  
% 9.93/2.17  
% 9.93/2.17  clauses                                 221
% 9.93/2.17  conjectures                             4
% 9.93/2.17  EPR                                     46
% 9.93/2.17  Horn                                    171
% 9.93/2.17  unary                                   31
% 9.93/2.17  binary                                  47
% 9.93/2.17  lits                                    739
% 9.93/2.17  lits eq                                 104
% 9.93/2.17  fd_pure                                 0
% 9.93/2.17  fd_pseudo                               0
% 9.93/2.17  fd_cond                                 10
% 9.93/2.17  fd_pseudo_cond                          30
% 9.93/2.17  AC symbols                              0
% 9.93/2.17  
% 9.93/2.17  ------ Schedule dynamic 5 is on 
% 9.93/2.17  
% 9.93/2.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.93/2.17  
% 9.93/2.17  
% 9.93/2.17  ------ 
% 9.93/2.17  Current options:
% 9.93/2.17  ------ 
% 9.93/2.17  
% 9.93/2.17  
% 9.93/2.17  
% 9.93/2.17  
% 9.93/2.17  ------ Proving...
% 9.93/2.17  
% 9.93/2.17  
% 9.93/2.17  % SZS status Theorem for theBenchmark.p
% 9.93/2.17  
% 9.93/2.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.93/2.17  
% 9.93/2.17  
%------------------------------------------------------------------------------