TSTP Solution File: NUM573+3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM573+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 11:31:33 EDT 2023

% Result   : Theorem 7.64s 1.66s
% Output   : CNFRefutation 7.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   99 (  20 unt;   0 def)
%            Number of atoms       :  468 (  47 equ)
%            Maximal formula atoms :   22 (   4 avg)
%            Number of connectives :  566 ( 197   ~; 184   |; 148   &)
%                                         (   5 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :  151 (   0 sgn;  85   !;  15   ?)

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

fof(f37,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X0,szNzAzT0) )
     => ( sdtlseqdt0(szszuzczcdt0(X1),X0)
        | sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).

fof(f39,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => iLess0(X0,szszuzczcdt0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH) ).

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/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,
    ( aElementOf0(xi,szNzAzT0)
    & aElementOf0(xj,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3786) ).

fof(f84,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X0,szNzAzT0) )
     => ( sdtlseqdt0(X1,X0)
       => ( iLess0(X0,xi)
         => ( 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(f85,conjecture,
    ( ( ? [X0] :
          ( szszuzczcdt0(X0) = xi
          & aElementOf0(X0,szNzAzT0) )
      & sdtlseqdt0(xj,xi) )
   => ( sdtlseqdt0(xj,xi)
     => ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
        | ! [X0] :
            ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
           => aElementOf0(X0,sdtlpdtrp0(xN,xj)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f86,negated_conjecture,
    ~ ( ( ? [X0] :
            ( szszuzczcdt0(X0) = xi
            & aElementOf0(X0,szNzAzT0) )
        & sdtlseqdt0(xj,xi) )
     => ( sdtlseqdt0(xj,xi)
       => ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
          | ! [X0] :
              ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
             => aElementOf0(X0,sdtlpdtrp0(xN,xj)) ) ) ) ),
    inference(negated_conjecture,[],[f85]) ).

fof(f96,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(f97,plain,
    ~ ( ( ? [X0] :
            ( szszuzczcdt0(X0) = xi
            & aElementOf0(X0,szNzAzT0) )
        & sdtlseqdt0(xj,xi) )
     => ( sdtlseqdt0(xj,xi)
       => ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
          | ! [X1] :
              ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
             => aElementOf0(X1,sdtlpdtrp0(xN,xj)) ) ) ) ),
    inference(rectify,[],[f86]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f139]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(szszuzczcdt0(X1),X0)
      | sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(szszuzczcdt0(X1),X0)
      | sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f143]) ).

fof(f145,plain,
    ! [X0] :
      ( iLess0(X0,szszuzczcdt0(X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f202,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,[],[f96]) ).

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(flattening,[],[f202]) ).

fof(f204,plain,
    ! [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) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
        & ! [X2] :
            ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
            | ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) )
      | ~ iLess0(X0,xi)
      | ~ sdtlseqdt0(X1,X0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
        & ! [X2] :
            ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
            | ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) )
      | ~ iLess0(X0,xi)
      | ~ sdtlseqdt0(X1,X0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f205]) ).

fof(f207,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    & ? [X1] :
        ( ~ aElementOf0(X1,sdtlpdtrp0(xN,xj))
        & aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
    & sdtlseqdt0(xj,xi)
    & ? [X0] :
        ( szszuzczcdt0(X0) = xi
        & aElementOf0(X0,szNzAzT0) )
    & sdtlseqdt0(xj,xi) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f208,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    & ? [X1] :
        ( ~ aElementOf0(X1,sdtlpdtrp0(xN,xj))
        & aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
    & sdtlseqdt0(xj,xi)
    & ? [X0] :
        ( szszuzczcdt0(X0) = xi
        & aElementOf0(X0,szNzAzT0) )
    & sdtlseqdt0(xj,xi) ),
    inference(flattening,[],[f207]) ).

fof(f220,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(f221,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(f222,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,[],[f203,f221,f220]) ).

fof(f324,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) ),
    inference(nnf_transformation,[],[f221]) ).

fof(f325,plain,
    ! [X0] :
      ( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        & ! [X1] :
            ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            | ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
        & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & sP8(X0)
        & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        & ! [X2] :
            ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
            | ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
        & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
      | ~ sP9(X0) ),
    inference(rectify,[],[f324]) ).

fof(f326,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) )
          & ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
              & aElementOf0(X3,sdtlpdtrp0(xN,X0))
              & aElement0(X3) )
            | ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
      | ~ sP8(X0) ),
    inference(nnf_transformation,[],[f220]) ).

fof(f327,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) )
          & ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
              & aElementOf0(X3,sdtlpdtrp0(xN,X0))
              & aElement0(X3) )
            | ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
      | ~ sP8(X0) ),
    inference(flattening,[],[f326]) ).

fof(f328,plain,
    ! [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)))) ) )
      | ~ sP8(X0) ),
    inference(rectify,[],[f327]) ).

fof(f329,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(f330,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])],[f222,f329]) ).

fof(f331,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    & ? [X0] :
        ( ~ aElementOf0(X0,sdtlpdtrp0(xN,xj))
        & aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
    & sdtlseqdt0(xj,xi)
    & ? [X1] :
        ( szszuzczcdt0(X1) = xi
        & aElementOf0(X1,szNzAzT0) )
    & sdtlseqdt0(xj,xi) ),
    inference(rectify,[],[f208]) ).

fof(f332,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(f333,plain,
    ( ? [X1] :
        ( szszuzczcdt0(X1) = xi
        & aElementOf0(X1,szNzAzT0) )
   => ( xi = szszuzczcdt0(sK41)
      & aElementOf0(sK41,szNzAzT0) ) ),
    introduced(choice_axiom,[]) ).

fof(f334,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    & ~ aElementOf0(sK40,sdtlpdtrp0(xN,xj))
    & aElementOf0(sK40,sdtlpdtrp0(xN,xi))
    & sdtlseqdt0(xj,xi)
    & xi = szszuzczcdt0(sK41)
    & aElementOf0(sK41,szNzAzT0)
    & sdtlseqdt0(xj,xi) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41])],[f331,f333,f332]) ).

fof(f395,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f397,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(szszuzczcdt0(X1),X0)
      | sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f398,plain,
    ! [X0] :
      ( iLess0(X0,szszuzczcdt0(X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f538,plain,
    ! [X0] :
      ( sP8(X0)
      | ~ sP9(X0) ),
    inference(cnf_transformation,[],[f325]) ).

fof(f540,plain,
    ! [X0,X1] :
      ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
      | ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
      | ~ sP9(X0) ),
    inference(cnf_transformation,[],[f325]) ).

fof(f544,plain,
    ! [X0,X1] :
      ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
      | ~ sP8(X0) ),
    inference(cnf_transformation,[],[f328]) ).

fof(f550,plain,
    ! [X0] :
      ( sP9(X0)
      | ~ isCountable0(sdtlpdtrp0(xN,X0))
      | aElementOf0(sK39(X0),sdtlpdtrp0(xN,X0))
      | ~ aSet0(sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f330]) ).

fof(f552,plain,
    ! [X0] :
      ( sP9(X0)
      | ~ isCountable0(sdtlpdtrp0(xN,X0))
      | ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f330]) ).

fof(f555,plain,
    ! [X0] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f556,plain,
    ! [X0] :
      ( isCountable0(sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f557,plain,
    aElementOf0(xj,szNzAzT0),
    inference(cnf_transformation,[],[f83]) ).

fof(f558,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f83]) ).

fof(f559,plain,
    ! [X2,X0,X1] :
      ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
      | ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
      | ~ iLess0(X0,xi)
      | ~ sdtlseqdt0(X1,X0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f561,plain,
    sdtlseqdt0(xj,xi),
    inference(cnf_transformation,[],[f334]) ).

fof(f562,plain,
    aElementOf0(sK41,szNzAzT0),
    inference(cnf_transformation,[],[f334]) ).

fof(f563,plain,
    xi = szszuzczcdt0(sK41),
    inference(cnf_transformation,[],[f334]) ).

fof(f565,plain,
    aElementOf0(sK40,sdtlpdtrp0(xN,xi)),
    inference(cnf_transformation,[],[f334]) ).

fof(f566,plain,
    ~ aElementOf0(sK40,sdtlpdtrp0(xN,xj)),
    inference(cnf_transformation,[],[f334]) ).

cnf(c_109,plain,
    ( ~ sdtlseqdt0(X0,X1)
    | ~ sdtlseqdt0(X1,X0)
    | ~ aElementOf0(X0,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | X0 = X1 ),
    inference(cnf_transformation,[],[f395]) ).

cnf(c_111,plain,
    ( ~ aElementOf0(X0,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | sdtlseqdt0(szszuzczcdt0(X0),X1)
    | sdtlseqdt0(X1,X0) ),
    inference(cnf_transformation,[],[f397]) ).

cnf(c_112,plain,
    ( ~ aElementOf0(X0,szNzAzT0)
    | iLess0(X0,szszuzczcdt0(X0)) ),
    inference(cnf_transformation,[],[f398]) ).

cnf(c_251,plain,
    ( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
    | ~ sP9(X1)
    | aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
    inference(cnf_transformation,[],[f540]) ).

cnf(c_253,plain,
    ( ~ sP9(X0)
    | sP8(X0) ),
    inference(cnf_transformation,[],[f538]) ).

cnf(c_259,plain,
    ( ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
    | ~ sP8(X1)
    | aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
    inference(cnf_transformation,[],[f544]) ).

cnf(c_261,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
    | ~ isCountable0(sdtlpdtrp0(xN,X0))
    | ~ aElementOf0(X0,szNzAzT0)
    | sP9(X0) ),
    inference(cnf_transformation,[],[f552]) ).

cnf(c_263,plain,
    ( ~ aSet0(sdtlpdtrp0(xN,X0))
    | ~ isCountable0(sdtlpdtrp0(xN,X0))
    | ~ aElementOf0(X0,szNzAzT0)
    | aElementOf0(sK39(X0),sdtlpdtrp0(xN,X0))
    | sP9(X0) ),
    inference(cnf_transformation,[],[f550]) ).

cnf(c_267,plain,
    ( ~ aElementOf0(X0,szNzAzT0)
    | isCountable0(sdtlpdtrp0(xN,X0)) ),
    inference(cnf_transformation,[],[f556]) ).

cnf(c_268,plain,
    ( ~ aElementOf0(X0,szNzAzT0)
    | aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
    inference(cnf_transformation,[],[f555]) ).

cnf(c_271,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f558]) ).

cnf(c_272,plain,
    aElementOf0(xj,szNzAzT0),
    inference(cnf_transformation,[],[f557]) ).

cnf(c_274,plain,
    ( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
    | ~ sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ iLess0(X1,xi)
    | aElementOf0(X0,sdtlpdtrp0(xN,X2)) ),
    inference(cnf_transformation,[],[f559]) ).

cnf(c_276,negated_conjecture,
    ~ aElementOf0(sK40,sdtlpdtrp0(xN,xj)),
    inference(cnf_transformation,[],[f566]) ).

cnf(c_277,negated_conjecture,
    aElementOf0(sK40,sdtlpdtrp0(xN,xi)),
    inference(cnf_transformation,[],[f565]) ).

cnf(c_279,negated_conjecture,
    szszuzczcdt0(sK41) = xi,
    inference(cnf_transformation,[],[f563]) ).

cnf(c_280,negated_conjecture,
    aElementOf0(sK41,szNzAzT0),
    inference(cnf_transformation,[],[f562]) ).

cnf(c_281,negated_conjecture,
    sdtlseqdt0(xj,xi),
    inference(cnf_transformation,[],[f561]) ).

cnf(c_467,plain,
    ( ~ aElementOf0(X0,szNzAzT0)
    | sP9(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_263,c_267,c_268,c_261]) ).

cnf(c_3565,plain,
    ( X0 != X1
    | ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
    | ~ sP9(X1)
    | aElementOf0(X2,sdtlpdtrp0(xN,X0)) ),
    inference(resolution_lifted,[status(thm)],[c_259,c_253]) ).

cnf(c_3566,plain,
    ( ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
    | ~ sP9(X1)
    | aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
    inference(unflattening,[status(thm)],[c_3565]) ).

cnf(c_3680,plain,
    ( X0 != X1
    | ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
    | ~ aElementOf0(X1,szNzAzT0)
    | aElementOf0(X2,sdtlpdtrp0(xN,X0)) ),
    inference(resolution_lifted,[status(thm)],[c_3566,c_467]) ).

cnf(c_3681,plain,
    ( ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
    | ~ aElementOf0(X1,szNzAzT0)
    | aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
    inference(unflattening,[status(thm)],[c_3680]) ).

cnf(c_3716,plain,
    ( X0 != X1
    | ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
    | ~ aElementOf0(X1,szNzAzT0)
    | aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
    inference(resolution_lifted,[status(thm)],[c_251,c_467]) ).

cnf(c_3717,plain,
    ( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
    | ~ aElementOf0(X1,szNzAzT0)
    | aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
    inference(unflattening,[status(thm)],[c_3716]) ).

cnf(c_3931,plain,
    ( szszuzczcdt0(X0) != xi
    | X0 != X1
    | ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
    | ~ sdtlseqdt0(X3,X1)
    | ~ aElementOf0(X0,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X3,szNzAzT0)
    | aElementOf0(X2,sdtlpdtrp0(xN,X3)) ),
    inference(resolution_lifted,[status(thm)],[c_112,c_274]) ).

cnf(c_3932,plain,
    ( szszuzczcdt0(X0) != xi
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
    | ~ sdtlseqdt0(X2,X0)
    | ~ aElementOf0(X0,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0)
    | aElementOf0(X1,sdtlpdtrp0(xN,X2)) ),
    inference(unflattening,[status(thm)],[c_3931]) ).

cnf(c_29116,plain,
    ( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
    | ~ aElementOf0(X1,szNzAzT0)
    | aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
    inference(superposition,[status(thm)],[c_3717,c_3681]) ).

cnf(c_29232,plain,
    ( ~ aElementOf0(X0,sdtlpdtrp0(xN,sK41))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(X1,sK41)
    | ~ aElementOf0(sK41,szNzAzT0)
    | aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
    inference(superposition,[status(thm)],[c_279,c_3932]) ).

cnf(c_29233,plain,
    ( ~ aElementOf0(X0,sdtlpdtrp0(xN,sK41))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(X1,sK41)
    | aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_29232,c_280]) ).

cnf(c_30478,plain,
    ( ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
    | ~ aElementOf0(sK41,szNzAzT0)
    | aElementOf0(X0,sdtlpdtrp0(xN,sK41)) ),
    inference(superposition,[status(thm)],[c_279,c_29116]) ).

cnf(c_30479,plain,
    ( ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
    | aElementOf0(X0,sdtlpdtrp0(xN,sK41)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_30478,c_280]) ).

cnf(c_30574,plain,
    aElementOf0(sK40,sdtlpdtrp0(xN,sK41)),
    inference(superposition,[status(thm)],[c_277,c_30479]) ).

cnf(c_30589,plain,
    ( ~ aElementOf0(X0,szNzAzT0)
    | ~ sdtlseqdt0(X0,sK41)
    | aElementOf0(sK40,sdtlpdtrp0(xN,X0)) ),
    inference(superposition,[status(thm)],[c_30574,c_29233]) ).

cnf(c_30603,plain,
    ( ~ aElementOf0(xj,szNzAzT0)
    | ~ sdtlseqdt0(xj,sK41) ),
    inference(superposition,[status(thm)],[c_30589,c_276]) ).

cnf(c_30606,plain,
    ~ sdtlseqdt0(xj,sK41),
    inference(forward_subsumption_resolution,[status(thm)],[c_30603,c_272]) ).

cnf(c_32421,plain,
    ( ~ aElementOf0(X0,szNzAzT0)
    | ~ aElementOf0(sK41,szNzAzT0)
    | sdtlseqdt0(X0,sK41)
    | sdtlseqdt0(xi,X0) ),
    inference(superposition,[status(thm)],[c_279,c_111]) ).

cnf(c_32429,plain,
    ( ~ aElementOf0(X0,szNzAzT0)
    | sdtlseqdt0(X0,sK41)
    | sdtlseqdt0(xi,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_32421,c_280]) ).

cnf(c_32750,plain,
    ( sdtlseqdt0(xi,xj)
    | sdtlseqdt0(xj,sK41) ),
    inference(superposition,[status(thm)],[c_272,c_32429]) ).

cnf(c_32763,plain,
    sdtlseqdt0(xi,xj),
    inference(forward_subsumption_resolution,[status(thm)],[c_32750,c_30606]) ).

cnf(c_39920,plain,
    ( ~ aElementOf0(xi,szNzAzT0)
    | ~ aElementOf0(xj,szNzAzT0)
    | ~ sdtlseqdt0(xj,xi)
    | xi = xj ),
    inference(superposition,[status(thm)],[c_32763,c_109]) ).

cnf(c_39936,plain,
    xi = xj,
    inference(forward_subsumption_resolution,[status(thm)],[c_39920,c_281,c_272,c_271]) ).

cnf(c_40205,plain,
    ~ aElementOf0(sK40,sdtlpdtrp0(xN,xi)),
    inference(demodulation,[status(thm)],[c_276,c_39936]) ).

cnf(c_40207,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_40205,c_277]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM573+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.21/0.35  % DateTime : Fri Aug 25 13:27:17 EDT 2023
% 0.21/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.64/1.66  % SZS status Started for theBenchmark.p
% 7.64/1.66  % SZS status Theorem for theBenchmark.p
% 7.64/1.66  
% 7.64/1.66  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.64/1.66  
% 7.64/1.66  ------  iProver source info
% 7.64/1.66  
% 7.64/1.66  git: date: 2023-05-31 18:12:56 +0000
% 7.64/1.66  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.64/1.66  git: non_committed_changes: false
% 7.64/1.66  git: last_make_outside_of_git: false
% 7.64/1.66  
% 7.64/1.66  ------ Parsing...
% 7.64/1.66  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 7.64/1.66  
% 7.64/1.66  ------ 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 
% 7.64/1.66  
% 7.64/1.66  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.64/1.66  
% 7.64/1.66  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.64/1.66  ------ Proving...
% 7.64/1.66  ------ Problem Properties 
% 7.64/1.66  
% 7.64/1.66  
% 7.64/1.66  clauses                                 224
% 7.64/1.66  conjectures                             6
% 7.64/1.66  EPR                                     47
% 7.64/1.66  Horn                                    174
% 7.64/1.66  unary                                   33
% 7.64/1.66  binary                                  46
% 7.64/1.66  lits                                    750
% 7.64/1.66  lits eq                                 106
% 7.64/1.66  fd_pure                                 0
% 7.64/1.66  fd_pseudo                               0
% 7.64/1.66  fd_cond                                 10
% 7.64/1.66  fd_pseudo_cond                          30
% 7.64/1.66  AC symbols                              0
% 7.64/1.66  
% 7.64/1.66  ------ Schedule dynamic 5 is on 
% 7.64/1.66  
% 7.64/1.66  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.64/1.66  
% 7.64/1.66  
% 7.64/1.66  ------ 
% 7.64/1.66  Current options:
% 7.64/1.66  ------ 
% 7.64/1.66  
% 7.64/1.66  
% 7.64/1.66  
% 7.64/1.66  
% 7.64/1.66  ------ Proving...
% 7.64/1.66  
% 7.64/1.66  
% 7.64/1.66  % SZS status Theorem for theBenchmark.p
% 7.64/1.66  
% 7.64/1.66  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.64/1.66  
% 7.64/1.67  
%------------------------------------------------------------------------------