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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : NUM577+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:26:05 PM UTC 2026

% Result   : Theorem 22.64s 4.02s
% Output   : CNFRefutation 22.64s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f229ERROR: Could not build tree for root c_17826ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,X0) )
            & aSet0(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).

fof(f25,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( szszuzczcdt0(X0) != sz00
        & aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).

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))))
              <=> ( X1 != szmzizndt0(sdtlpdtrp0(xN,X0))
                  & 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)) ) ) )
    & sdtlpdtrp0(xN,sz00) = xS
    & szDzozmdt0(xN) = szNzAzT0
    & aFunction0(xN) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).

fof(f82,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)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).

fof(f83,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X0,szNzAzT0) )
     => ( sdtlseqdt0(X1,X0)
       => ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
          & ! [X2] :
              ( aElementOf0(X2,sdtlpdtrp0(xN,X0))
             => aElementOf0(X2,sdtlpdtrp0(xN,X1)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).

fof(f86,axiom,
    ( aElementOf0(xm,szNzAzT0)
    & aElementOf0(xn,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3904) ).

fof(f98,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))))
            & ! [X4] :
                ( aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
               => aElementOf0(X4,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))))
            & ! [X2] :
                ( aElementOf0(X2,sdtlpdtrp0(xN,X0))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
            & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
    & sdtlpdtrp0(xN,sz00) = xS
    & szDzozmdt0(xN) = szNzAzT0
    & aFunction0(xN) ),
    inference(rectify,[],[f81]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( ! [X2] :
                ( ~ aElementOf0(X2,X1)
                | aElementOf0(X2,X0) )
            & aSet0(X1) ) ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f129,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | ( szszuzczcdt0(X0) != sz00
        & aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f204,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))))
          & ! [X4] :
              ( ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
              | aElementOf0(X4,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))))
          & ! [X2] :
              ( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
              | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
          & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) )
    & sdtlpdtrp0(xN,sz00) = xS
    & szDzozmdt0(xN) = szNzAzT0
    & aFunction0(xN) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f205,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))))
          & ! [X4] :
              ( ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
              | aElementOf0(X4,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))))
          & ! [X2] :
              ( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
              | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
          & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) )
    & sdtlpdtrp0(xN,sz00) = xS
    & szDzozmdt0(xN) = szNzAzT0
    & aFunction0(xN) ),
    inference(flattening,[],[f204]) ).

fof(f206,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)) ) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ sdtlseqdt0(X1,X0)
      | ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
        & ! [X2] :
            ( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
            | aElementOf0(X2,sdtlpdtrp0(xN,X1)) ) ) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f208,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ sdtlseqdt0(X1,X0)
      | ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
        & ! [X2] :
            ( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
            | aElementOf0(X2,sdtlpdtrp0(xN,X1)) ) ) ),
    inference(flattening,[],[f207]) ).

fof(f234,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( ( ~ aSubsetOf0(X1,X0)
            | ( ! [X2] :
                  ( ~ aElementOf0(X2,X1)
                  | aElementOf0(X2,X0) )
              & aSet0(X1) ) )
          & ( ? [X2] :
                ( aElementOf0(X2,X1)
                & ~ aElementOf0(X2,X0) )
            | ~ aSet0(X1)
            | aSubsetOf0(X1,X0) ) ) ),
    inference(nnf_transformation,[],[f106]) ).

fof(f235,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( ( ~ aSubsetOf0(X1,X0)
            | ( ! [X2] :
                  ( ~ aElementOf0(X2,X1)
                  | aElementOf0(X2,X0) )
              & aSet0(X1) ) )
          & ( ? [X2] :
                ( aElementOf0(X2,X1)
                & ~ aElementOf0(X2,X0) )
            | ~ aSet0(X1)
            | aSubsetOf0(X1,X0) ) ) ),
    inference(flattening,[],[f234]) ).

fof(f236,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( ( ~ aSubsetOf0(X1,X0)
            | ( ! [X3] :
                  ( ~ aElementOf0(X3,X1)
                  | aElementOf0(X3,X0) )
              & aSet0(X1) ) )
          & ( ? [X2] :
                ( aElementOf0(X2,X1)
                & ~ aElementOf0(X2,X0) )
            | ~ aSet0(X1)
            | aSubsetOf0(X1,X0) ) ) ),
    inference(rectify,[],[f235]) ).

fof(f237,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( ( ~ aSubsetOf0(X1,X0)
            | ( ! [X3] :
                  ( ~ aElementOf0(X3,X1)
                  | aElementOf0(X3,X0) )
              & aSet0(X1) ) )
          & ( ( aElementOf0(sK13(X0,X1),X1)
              & ~ aElementOf0(sK13(X0,X1),X0) )
            | ~ aSet0(X1)
            | aSubsetOf0(X1,X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X2,sK13(X0,X1))],[f236]) ).

fof(f305,plain,
    ! [X0] :
      ( ~ sP9(X0)
      | ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        & ! [X4] :
            ( ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            | aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
        & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & sP8(X0)
        & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        & ! [X2] :
            ( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
            | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
        & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ),
    inference(nnf_transformation,[],[f225]) ).

fof(f306,plain,
    ! [X0] :
      ( ~ sP9(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)))
        & sP8(X0)
        & 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)) ) ),
    inference(rectify,[],[f305]) ).

fof(f310,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
          & ( ( aElementOf0(sK41(X0),sdtlpdtrp0(xN,X0))
              & ~ aElementOf0(sK41(X0),szNzAzT0) )
            | ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
        | sP9(X0) )
    & sdtlpdtrp0(xN,sz00) = xS
    & szDzozmdt0(xN) = szNzAzT0
    & aFunction0(xN) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(X1,sK41(X0))],[f226]) ).

fof(f311,plain,
    ( ~ sP11
    | ( ! [X0] :
          ( ~ aElementOf0(X0,sdtlpdtrp0(xN,xn))
          | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0) )
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
      & sP10
      & aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
      & ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
      & ? [X2] :
          ( aElementOf0(X2,sdtlpdtrp0(xN,xm))
          & ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ) ) ),
    inference(nnf_transformation,[],[f228]) ).

fof(f312,plain,
    ( ~ sP11
    | ( ! [X1] :
          ( ~ aElementOf0(X1,sdtlpdtrp0(xN,xn))
          | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1) )
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
      & sP10
      & aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
      & ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
      & ? [X0] :
          ( aElementOf0(X0,sdtlpdtrp0(xN,xm))
          & ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ) ) ),
    inference(rectify,[],[f311]) ).

fof(f313,plain,
    ( ~ sP11
    | ( ! [X1] :
          ( ~ aElementOf0(X1,sdtlpdtrp0(xN,xn))
          | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1) )
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
      & sP10
      & aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
      & ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
      & aElementOf0(sK42,sdtlpdtrp0(xN,xm))
      & ~ aElementOf0(sK42,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK42]),skolemize(X0,sK42)],[f312]) ).

fof(f317,plain,
    ( sdtlseqdt0(szszuzczcdt0(xn),xm)
    & ( ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
        & ! [X1] :
            ( ~ aElementOf0(X1,sdtlpdtrp0(xN,xn))
            | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X1) )
        & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
        & ! [X0] :
            ( ~ aElementOf0(X0,sdtlpdtrp0(xN,xm))
            | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X0) )
        & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)) )
      | sP11 ) ),
    inference(rectify,[],[f229]) ).

fof(f325,plain,
    ! [X3,X0,X1] :
      ( ~ aSet0(X0)
      | ~ aSubsetOf0(X1,X0)
      | ~ aElementOf0(X3,X1)
      | aElementOf0(X3,X0) ),
    inference(cnf_transformation,[],[f237]) ).

fof(f367,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f520,plain,
    ! [X2,X0] :
      ( ~ sP9(X0)
      | ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
      | aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
    inference(cnf_transformation,[],[f306]) ).

fof(f522,plain,
    ! [X0] :
      ( ~ sP9(X0)
      | sP8(X0) ),
    inference(cnf_transformation,[],[f306]) ).

fof(f525,plain,
    ! [X0] :
      ( ~ sP9(X0)
      | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ),
    inference(cnf_transformation,[],[f306]) ).

fof(f530,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | ~ isCountable0(sdtlpdtrp0(xN,X0))
      | ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
      | sP9(X0) ),
    inference(cnf_transformation,[],[f310]) ).

fof(f531,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | ~ isCountable0(sdtlpdtrp0(xN,X0))
      | aElementOf0(sK41(X0),sdtlpdtrp0(xN,X0))
      | ~ aSet0(sdtlpdtrp0(xN,X0))
      | sP9(X0) ),
    inference(cnf_transformation,[],[f310]) ).

fof(f536,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | isCountable0(sdtlpdtrp0(xN,X0)) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f537,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f539,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | aSet0(sdtlpdtrp0(xN,X0)) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f540,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ sdtlseqdt0(X1,X0)
      | aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f541,plain,
    ! [X2,X0,X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ sdtlseqdt0(X1,X0)
      | ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
      | aElementOf0(X2,sdtlpdtrp0(xN,X1)) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f545,plain,
    aElementOf0(xm,szNzAzT0),
    inference(cnf_transformation,[],[f86]) ).

fof(f546,plain,
    aElementOf0(xn,szNzAzT0),
    inference(cnf_transformation,[],[f86]) ).

fof(f552,plain,
    ( ~ sP11
    | aElementOf0(sK42,sdtlpdtrp0(xN,xm)) ),
    inference(cnf_transformation,[],[f313]) ).

fof(f553,plain,
    ( ~ sP11
    | ~ aElementOf0(sK42,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
    inference(cnf_transformation,[],[f313]) ).

fof(f558,plain,
    sdtlseqdt0(szszuzczcdt0(xn),xm),
    inference(cnf_transformation,[],[f317]) ).

fof(f559,plain,
    ( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm))
    | sP11 ),
    inference(cnf_transformation,[],[f317]) ).

fof(f563,plain,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
    | sP11 ),
    inference(cnf_transformation,[],[f317]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( aElementOf0(X0,X2)
      | ~ aSet0(X2)
      | ~ aSubsetOf0(X1,X2)
      | ~ aElementOf0(X0,X1) ),
    inference(cnf_transformation,[],[f325]) ).

tcf(c_97,plain,
    ! [X0: $i] :
      ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f367]) ).

tcf(c_249,plain,
    ! [X0: $i] :
      ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
      | ~ sP9(X0) ),
    inference(cnf_transformation,[],[f525]) ).

tcf(c_252,plain,
    ! [X0: $i] :
      ( sP8(X0)
      | ~ sP9(X0) ),
    inference(cnf_transformation,[],[f522]) ).

tcf(c_254,plain,
    ! [X0: $i,X1: $i] :
      ( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
      | ~ sP9(X1)
      | ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1))) ),
    inference(cnf_transformation,[],[f520]) ).

tcf(c_265,plain,
    ! [X0: $i] :
      ( sP9(X0)
      | aElementOf0(sK41(X0),sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ isCountable0(sdtlpdtrp0(xN,X0))
      | ~ aSet0(sdtlpdtrp0(xN,X0)) ),
    inference(cnf_transformation,[],[f531]) ).

tcf(c_266,plain,
    ! [X0: $i] :
      ( sP9(X0)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ isCountable0(sdtlpdtrp0(xN,X0))
      | ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
    inference(cnf_transformation,[],[f530]) ).

tcf(c_267,plain,
    ! [X0: $i] :
      ( aSet0(sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f539]) ).

tcf(c_269,plain,
    ! [X0: $i] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f537]) ).

tcf(c_270,plain,
    ! [X0: $i] :
      ( isCountable0(sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f536]) ).

tcf(c_271,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( aElementOf0(X0,sdtlpdtrp0(xN,X2))
      | ~ aElementOf0(X2,szNzAzT0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ sdtlseqdt0(X2,X1)
      | ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
    inference(cnf_transformation,[],[f541]) ).

tcf(c_272,plain,
    ! [X0: $i,X1: $i] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ sdtlseqdt0(X0,X1) ),
    inference(cnf_transformation,[],[f540]) ).

tcf(c_276,plain,
    aElementOf0(xn,szNzAzT0),
    inference(cnf_transformation,[],[f546]) ).

tcf(c_277,plain,
    aElementOf0(xm,szNzAzT0),
    inference(cnf_transformation,[],[f545]) ).

tcf(c_278,negated_conjecture,
    ( ~ sP11
    | ~ aElementOf0(sK42,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
    inference(cnf_transformation,[],[f553]) ).

tcf(c_279,plain,
    ( aElementOf0(sK42,sdtlpdtrp0(xN,xm))
    | ~ sP11 ),
    inference(cnf_transformation,[],[f552]) ).

tcf(c_289,negated_conjecture,
    ( sP11
    | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)) ),
    inference(cnf_transformation,[],[f563]) ).

tcf(c_293,negated_conjecture,
    ( sP11
    | ( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm)) ) ),
    inference(cnf_transformation,[],[f559]) ).

tcf(c_294,negated_conjecture,
    sdtlseqdt0(szszuzczcdt0(xn),xm),
    inference(cnf_transformation,[],[f558]) ).

tcf(c_486,plain,
    ! [X0: $i] :
      ( sP9(X0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(global_subsumption_just,[status(thm)],[c_265,c_270,c_269,c_266]) ).

tcf(c_776,plain,
    ( aElementOf0(szszuzczcdt0(xn),szNzAzT0)
    | ~ aElementOf0(xn,szNzAzT0) ),
    inference(instantiation,[status(thm)],[c_97]) ).

tcf(c_827,plain,
    ( sP9(xn)
    | ~ aElementOf0(xn,szNzAzT0) ),
    inference(instantiation,[status(thm)],[c_486]) ).

tcf(c_828,plain,
    ( sP9(xm)
    | ~ aElementOf0(xm,szNzAzT0) ),
    inference(instantiation,[status(thm)],[c_486]) ).

tcf(c_1235,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
    | ~ aElementOf0(xm,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
    | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
    inference(instantiation,[status(thm)],[c_272]) ).

tcf(c_1362,plain,
    ! [X0: $i] :
      ( aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
      | ~ aElementOf0(xm,szNzAzT0)
      | ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
      | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
      | ~ aElementOf0(X0,sdtlpdtrp0(xN,xm)) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_2432,plain,
    ( aElementOf0(sK42,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
    | ~ aElementOf0(xm,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
    | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
    | ~ aElementOf0(sK42,sdtlpdtrp0(xN,xm)) ),
    inference(instantiation,[status(thm)],[c_1362]) ).

tcf(c_3606,plain,
    ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
    | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
    inference(instantiation,[status(thm)],[c_267]) ).

tcf(c_7082,plain,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
    | ~ sP9(xm) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_13952,plain,
    ( ~ sP11
    | ~ sP9(xn)
    | ~ aElementOf0(sK42,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
    inference(superposition,[status(thm)],[c_254,c_278]) ).

tcf(c_14476,plain,
    ~ sP11,
    inference(global_subsumption_just,[status(thm)],[c_13952,c_277,c_276,c_294,c_279,c_776,c_827,c_2432,c_13952]) ).

tcf(c_14883,negated_conjecture,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)),
    inference(global_subsumption_just,[status(thm)],[c_289,c_277,c_828,c_7082]) ).

tcf(c_14887,negated_conjecture,
    szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm)),
    inference(global_subsumption_just,[status(thm)],[c_293,c_293,c_14476]) ).

tcf(c_14890,plain,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xm)),
    inference(superposition,[status(thm)],[c_14887,c_14883]) ).

tcf(c_15693,plain,
    ! [X0: $i] :
      ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0)
      | ~ aSet0(X0)
      | ~ aSubsetOf0(sdtlpdtrp0(xN,xm),X0) ),
    inference(superposition,[status(thm)],[c_14890,c_59]) ).

fof(f224,definition,
    ! [X0] :
      ( ~ sP8(X0)
      | ! [X3] :
          ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        <=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
            & aElementOf0(X3,sdtlpdtrp0(xN,X0))
            & aElement0(X3) ) ) ),
    introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).

fof(f225,definition,
    ! [X0] :
      ( ~ sP9(X0)
      | ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        & ! [X4] :
            ( ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            | aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
        & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & sP8(X0)
        & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        & ! [X2] :
            ( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
            | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
        & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ),
    introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).

fof(f226,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)) ) )
        | sP9(X0) )
    & sdtlpdtrp0(xN,sz00) = xS
    & szDzozmdt0(xN) = szNzAzT0
    & aFunction0(xN) ),
    inference(definition_folding,[],[f205,f225,f224]) ).

fof(f307,plain,
    ! [X0] :
      ( ~ sP8(X0)
      | ! [X3] :
          ( ( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            | ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
              & aElementOf0(X3,sdtlpdtrp0(xN,X0))
              & aElement0(X3) ) )
          & ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
            | ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
            | ~ aElement0(X3)
            | aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
    inference(nnf_transformation,[],[f224]) ).

fof(f308,plain,
    ! [X0] :
      ( ~ sP8(X0)
      | ! [X3] :
          ( ( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            | ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
              & aElementOf0(X3,sdtlpdtrp0(xN,X0))
              & aElement0(X3) ) )
          & ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
            | ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
            | ~ aElement0(X3)
            | aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
    inference(flattening,[],[f307]) ).

fof(f309,plain,
    ! [X0] :
      ( ~ sP8(X0)
      | ! [X1] :
          ( ( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            | ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
              & aElementOf0(X1,sdtlpdtrp0(xN,X0))
              & aElement0(X1) ) )
          & ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
            | ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
            | ~ aElement0(X1)
            | aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
    inference(rectify,[],[f308]) ).

fof(f526,plain,
    ! [X0,X1] :
      ( ~ sP8(X0)
      | ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
      | szmzizndt0(sdtlpdtrp0(xN,X0)) != X1 ),
    inference(cnf_transformation,[],[f309]) ).

fof(f606,plain,
    ! [X0] :
      ( ~ sP8(X0)
      | ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
    inference(equality_resolution,[],[f526]) ).

tcf(c_260,negated_conjecture,
    ! [X0: $i] :
      ( ~ sP8(X0)
      | ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
    inference(cnf_transformation,[],[f606]) ).

tcf(c_13951,plain,
    ! [X0: $i] :
      ( ~ sP8(X0)
      | ~ sP9(X0)
      | ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0))) ),
    inference(superposition,[status(thm)],[c_254,c_260]) ).

tcf(c_17710,plain,
    ! [X0: $i] :
      ( ~ sP8(X0)
      | ~ sP9(X0)
      | ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0))) ),
    inference(superposition,[status(thm)],[c_254,c_260]) ).

tcf(c_17810,plain,
    ! [X0: $i] :
      ( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
      | ~ sP9(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_17710,c_252,c_13951]) ).

tcf(c_17811,plain,
    ! [X0: $i] :
      ( ~ sP9(X0)
      | ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0))) ),
    inference(renaming,[status(thm)],[c_17810]) ).

tcf(c_17818,plain,
    ( ~ sP9(xn)
    | ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
    | ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
    inference(superposition,[status(thm)],[c_15693,c_17811]) ).

tcf(c_17826,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_17818,c_3606,c_1235,c_827,c_776,c_294,c_276,c_277]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : NUM577+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/0.45  % Computer : n020.cluster.edu
% 0.18/0.45  % Model    : x86_64 x86_64
% 0.18/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45  % Memory   : 8046.5625MB
% 0.18/0.45  % OS       : Linux 6.8.0-71-generic
% 0.18/0.45  % CPULimit : 300
% 0.18/0.45  % WCLimit  : 300
% 0.18/0.45  % DateTime : Thu Sep 24 04:44:04 UTC 2026
% 0.18/0.45  % CPUTime  : 
% 0.18/0.45  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.23/0.51  Running first-order theorem proving
% 0.23/0.51  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.53  
% 0.23/0.53  % ======== iProver multi-core TPTP/SMT =========
% 0.23/0.53  
% 0.23/0.53  % Detected problem language: tptp
% 0.23/0.54  % Proving...
% 22.64/4.02  % SZS status Started for theBenchmark.p
% 22.64/4.02  % SZS status Theorem for theBenchmark.p
% 22.64/4.02  
% 22.64/4.02  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 22.64/4.02  
% 22.64/4.02  % ------  iProver source info
% 22.64/4.02  
% 22.64/4.02  % git: date: 2026-07-19 20:42:38 +0200
% 22.64/4.02  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 22.64/4.02  % git: non_committed_changes: false
% 22.64/4.02  
% 22.64/4.02  % ------ Parsing...
% 22.64/4.02  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 22.64/4.02  
% 22.64/4.02  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e % 
% 22.64/4.02  
% 22.64/4.02  % ------ Preprocessing...% 
% 22.64/4.02  
% 22.64/4.02  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 22.64/4.02  % ------ Proving...
% 22.64/4.02  % ------ Problem Properties 
% 22.64/4.02  
% 22.64/4.02  % 
% 22.64/4.02  % clauses                               243
% 22.64/4.02  % conjectures                           22
% 22.64/4.02  % EPR                                   52
% 22.64/4.02  % Horn                                  186
% 22.64/4.02  % unary                                 30
% 22.64/4.02  % binary                                61
% 22.64/4.02  % lits                                  802
% 22.64/4.02  % lits eq                               100
% 22.64/4.02  % fd_pure                               0
% 22.64/4.02  % fd_pseudo                             0
% 22.64/4.02  % fd_cond                               11
% 22.64/4.02  % fd_pseudo_cond                        30
% 22.64/4.02  % AC symbols                            0
% 22.64/4.02  
% 22.64/4.02  % ------ Input Options Time Limit: Unbounded
% 22.64/4.02  
% 22.64/4.02  
% 22.64/4.02  % ------ 
% 22.64/4.02  % Current options:
% 22.64/4.02  % ------ 
% 22.64/4.02  
% 22.64/4.02  
% 22.64/4.02  % 
% 22.64/4.02  
% 22.64/4.02  % ------ Proving...
% 22.64/4.02  % 
% 22.64/4.02  
% 22.64/4.02  % SZS status Theorem for theBenchmark.p
% 22.64/4.02  
% 22.64/4.02  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 22.64/4.02  
% 22.64/4.02  
%------------------------------------------------------------------------------