TSTP Solution File: NUM574+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM574+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 : n012.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 18:05:53 EDT 2022

% Result   : Theorem 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   99 (  15 unt;   0 def)
%            Number of atoms       :  284 (  50 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  305 ( 120   ~; 121   |;  41   &)
%                                         (  10 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   9 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   8 con; 0-2 aty)
%            Number of variables   :   53 (  44   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1830,plain,
    $false,
    inference(avatar_sat_refutation,[],[f540,f543,f631,f1672,f1698,f1771,f1784,f1813,f1825]) ).

fof(f1825,plain,
    ~ spl27_1,
    inference(avatar_contradiction_clause,[],[f1824]) ).

fof(f1824,plain,
    ( $false
    | ~ spl27_1 ),
    inference(subsumption_resolution,[],[f1823,f525]) ).

fof(f525,plain,
    ~ aSubsetOf0(sF25,sF26),
    inference(definition_folding,[],[f412,f524,f523]) ).

fof(f523,plain,
    sdtlpdtrp0(xN,xi) = sF25,
    introduced(function_definition,[]) ).

fof(f524,plain,
    sdtlpdtrp0(xN,xj) = sF26,
    introduced(function_definition,[]) ).

fof(f412,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    & sdtlseqdt0(xj,xi) ),
    inference(ennf_transformation,[],[f87]) ).

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

fof(f86,conjecture,
    ( sdtlseqdt0(xj,xi)
   => aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f1823,plain,
    ( aSubsetOf0(sF25,sF26)
    | ~ spl27_1 ),
    inference(forward_demodulation,[],[f1814,f523]) ).

fof(f1814,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),sF26)
    | ~ spl27_1 ),
    inference(forward_demodulation,[],[f532,f524]) ).

fof(f532,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    | ~ spl27_1 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f530,plain,
    ( spl27_1
  <=> aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_1])]) ).

fof(f1813,plain,
    ( ~ spl27_4
    | ~ spl27_19
    | ~ spl27_26 ),
    inference(avatar_contradiction_clause,[],[f1812]) ).

fof(f1812,plain,
    ( $false
    | ~ spl27_4
    | ~ spl27_19
    | ~ spl27_26 ),
    inference(subsumption_resolution,[],[f1811,f577]) ).

fof(f577,plain,
    ( aSet0(xS)
    | ~ spl27_4 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f576,plain,
    ( spl27_4
  <=> aSet0(xS) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_4])]) ).

fof(f1811,plain,
    ( ~ aSet0(xS)
    | ~ spl27_19
    | ~ spl27_26 ),
    inference(resolution,[],[f1810,f397]) ).

fof(f397,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( aSet0(X0)
     => aSubsetOf0(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).

fof(f1810,plain,
    ( ~ aSubsetOf0(xS,xS)
    | ~ spl27_19
    | ~ spl27_26 ),
    inference(forward_demodulation,[],[f1802,f1713]) ).

fof(f1713,plain,
    ( xS = sF25
    | ~ spl27_19 ),
    inference(forward_demodulation,[],[f1700,f329]) ).

fof(f329,plain,
    xS = sdtlpdtrp0(xN,sz00),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ( szNzAzT0 = szDzozmdt0(xN)
    & ! [X0] :
        ( ~ aElementOf0(X0,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        | ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) )
    & xS = sdtlpdtrp0(xN,sz00)
    & aFunction0(xN) ),
    inference(flattening,[],[f128]) ).

fof(f128,plain,
    ( ! [X0] :
        ( ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ~ aElementOf0(X0,szNzAzT0) )
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN)
    & xS = sdtlpdtrp0(xN,sz00) ),
    inference(ennf_transformation,[],[f81]) ).

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

fof(f1700,plain,
    ( sdtlpdtrp0(xN,sz00) = sF25
    | ~ spl27_19 ),
    inference(superposition,[],[f523,f894]) ).

fof(f894,plain,
    ( sz00 = xi
    | ~ spl27_19 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f893,plain,
    ( spl27_19
  <=> sz00 = xi ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_19])]) ).

fof(f1802,plain,
    ( ~ aSubsetOf0(sF25,xS)
    | ~ spl27_26 ),
    inference(superposition,[],[f525,f1798]) ).

fof(f1798,plain,
    ( xS = sF26
    | ~ spl27_26 ),
    inference(forward_demodulation,[],[f1787,f329]) ).

fof(f1787,plain,
    ( sdtlpdtrp0(xN,sz00) = sF26
    | ~ spl27_26 ),
    inference(superposition,[],[f524,f928]) ).

fof(f928,plain,
    ( sz00 = xj
    | ~ spl27_26 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f927,plain,
    ( spl27_26
  <=> sz00 = xj ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_26])]) ).

fof(f1784,plain,
    ( spl27_26
    | spl27_81 ),
    inference(avatar_split_clause,[],[f1783,f1750,f927]) ).

fof(f1750,plain,
    ( spl27_81
  <=> aElementOf0(sK15(xj),szNzAzT0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_81])]) ).

fof(f1783,plain,
    ( sz00 = xj
    | spl27_81 ),
    inference(subsumption_resolution,[],[f1774,f388]) ).

fof(f388,plain,
    aElementOf0(xj,szNzAzT0),
    inference(cnf_transformation,[],[f83]) ).

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

fof(f1774,plain,
    ( ~ aElementOf0(xj,szNzAzT0)
    | sz00 = xj
    | spl27_81 ),
    inference(resolution,[],[f1752,f420]) ).

fof(f420,plain,
    ! [X0] :
      ( aElementOf0(sK15(X0),szNzAzT0)
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f272]) ).

fof(f272,plain,
    ! [X0] :
      ( sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0)
      | ( aElementOf0(sK15(X0),szNzAzT0)
        & szszuzczcdt0(sK15(X0)) = X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f141,f271]) ).

fof(f271,plain,
    ! [X0] :
      ( ? [X1] :
          ( aElementOf0(X1,szNzAzT0)
          & szszuzczcdt0(X1) = X0 )
     => ( aElementOf0(sK15(X0),szNzAzT0)
        & szszuzczcdt0(sK15(X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f141,plain,
    ! [X0] :
      ( sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0)
      | ? [X1] :
          ( aElementOf0(X1,szNzAzT0)
          & szszuzczcdt0(X1) = X0 ) ),
    inference(flattening,[],[f140]) ).

fof(f140,plain,
    ! [X0] :
      ( sz00 = X0
      | ? [X1] :
          ( aElementOf0(X1,szNzAzT0)
          & szszuzczcdt0(X1) = X0 )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f27]) ).

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

fof(f1752,plain,
    ( ~ aElementOf0(sK15(xj),szNzAzT0)
    | spl27_81 ),
    inference(avatar_component_clause,[],[f1750]) ).

fof(f1771,plain,
    ( ~ spl27_81
    | ~ spl27_3
    | ~ spl27_19
    | spl27_26 ),
    inference(avatar_split_clause,[],[f1770,f927,f893,f537,f1750]) ).

fof(f537,plain,
    ( spl27_3
  <=> sdtlseqdt0(xj,xi) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_3])]) ).

fof(f1770,plain,
    ( ~ aElementOf0(sK15(xj),szNzAzT0)
    | ~ spl27_3
    | ~ spl27_19
    | spl27_26 ),
    inference(subsumption_resolution,[],[f1734,f1701]) ).

fof(f1701,plain,
    ( sdtlseqdt0(xj,sz00)
    | ~ spl27_3
    | ~ spl27_19 ),
    inference(superposition,[],[f538,f894]) ).

fof(f538,plain,
    ( sdtlseqdt0(xj,xi)
    | ~ spl27_3 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f1734,plain,
    ( ~ aElementOf0(sK15(xj),szNzAzT0)
    | ~ sdtlseqdt0(xj,sz00)
    | spl27_26 ),
    inference(superposition,[],[f464,f1186]) ).

fof(f1186,plain,
    ( xj = szszuzczcdt0(sK15(xj))
    | spl27_26 ),
    inference(subsumption_resolution,[],[f1172,f929]) ).

fof(f929,plain,
    ( sz00 != xj
    | spl27_26 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f1172,plain,
    ( sz00 = xj
    | xj = szszuzczcdt0(sK15(xj)) ),
    inference(resolution,[],[f419,f388]) ).

fof(f419,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | sz00 = X0
      | szszuzczcdt0(sK15(X0)) = X0 ),
    inference(cnf_transformation,[],[f272]) ).

fof(f464,plain,
    ! [X0] :
      ( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f213]) ).

fof(f213,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNoScLessZr) ).

fof(f1698,plain,
    ( spl27_19
    | spl27_72 ),
    inference(avatar_split_clause,[],[f1697,f1653,f893]) ).

fof(f1653,plain,
    ( spl27_72
  <=> aElementOf0(sK15(xi),szNzAzT0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_72])]) ).

fof(f1697,plain,
    ( sz00 = xi
    | spl27_72 ),
    inference(subsumption_resolution,[],[f1683,f389]) ).

fof(f389,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f83]) ).

fof(f1683,plain,
    ( ~ aElementOf0(xi,szNzAzT0)
    | sz00 = xi
    | spl27_72 ),
    inference(resolution,[],[f1655,f420]) ).

fof(f1655,plain,
    ( ~ aElementOf0(sK15(xi),szNzAzT0)
    | spl27_72 ),
    inference(avatar_component_clause,[],[f1653]) ).

fof(f1672,plain,
    ( ~ spl27_72
    | ~ spl27_2
    | spl27_19 ),
    inference(avatar_split_clause,[],[f1651,f893,f534,f1653]) ).

fof(f534,plain,
    ( spl27_2
  <=> ! [X0] :
        ( szszuzczcdt0(X0) != xi
        | ~ aElementOf0(X0,szNzAzT0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_2])]) ).

fof(f1651,plain,
    ( ~ aElementOf0(sK15(xi),szNzAzT0)
    | ~ spl27_2
    | spl27_19 ),
    inference(trivial_inequality_removal,[],[f1643]) ).

fof(f1643,plain,
    ( xi != xi
    | ~ aElementOf0(sK15(xi),szNzAzT0)
    | ~ spl27_2
    | spl27_19 ),
    inference(superposition,[],[f535,f1185]) ).

fof(f1185,plain,
    ( xi = szszuzczcdt0(sK15(xi))
    | spl27_19 ),
    inference(subsumption_resolution,[],[f1173,f895]) ).

fof(f895,plain,
    ( sz00 != xi
    | spl27_19 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f1173,plain,
    ( xi = szszuzczcdt0(sK15(xi))
    | sz00 = xi ),
    inference(resolution,[],[f419,f389]) ).

fof(f535,plain,
    ( ! [X0] :
        ( szszuzczcdt0(X0) != xi
        | ~ aElementOf0(X0,szNzAzT0) )
    | ~ spl27_2 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f631,plain,
    spl27_4,
    inference(avatar_split_clause,[],[f628,f576]) ).

fof(f628,plain,
    aSet0(xS),
    inference(subsumption_resolution,[],[f623,f414]) ).

fof(f414,plain,
    aSet0(szNzAzT0),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    ( aSet0(szNzAzT0)
    & isCountable0(szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).

fof(f623,plain,
    ( ~ aSet0(szNzAzT0)
    | aSet0(xS) ),
    inference(resolution,[],[f374,f354]) ).

fof(f354,plain,
    aSubsetOf0(xS,szNzAzT0),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,axiom,
    ( aSubsetOf0(xS,szNzAzT0)
    & isCountable0(xS) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).

fof(f374,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f257,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ( ~ aElementOf0(sK9(X0,X1),X0)
              & aElementOf0(sK9(X0,X1),X1) )
            | ~ aSet0(X1) )
          & ( ( ! [X3] :
                  ( aElementOf0(X3,X0)
                  | ~ aElementOf0(X3,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f255,f256]) ).

fof(f256,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ aElementOf0(X2,X0)
          & aElementOf0(X2,X1) )
     => ( ~ aElementOf0(sK9(X0,X1),X0)
        & aElementOf0(sK9(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f255,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) )
            | ~ aSet0(X1) )
          & ( ( ! [X3] :
                  ( aElementOf0(X3,X0)
                  | ~ aElementOf0(X3,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) ) ) ),
    inference(rectify,[],[f254]) ).

fof(f254,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) )
            | ~ aSet0(X1) )
          & ( ( ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) ) ) ),
    inference(flattening,[],[f253]) ).

fof(f253,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) )
            | ~ aSet0(X1) )
          & ( ( ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) ) ) ),
    inference(nnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( ! [X2] :
                ( aElementOf0(X2,X0)
                | ~ aElementOf0(X2,X1) )
            & aSet0(X1) ) ) ),
    inference(ennf_transformation,[],[f10]) ).

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(f543,plain,
    spl27_3,
    inference(avatar_split_clause,[],[f411,f537]) ).

fof(f411,plain,
    sdtlseqdt0(xj,xi),
    inference(cnf_transformation,[],[f123]) ).

fof(f540,plain,
    ( spl27_1
    | spl27_2
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f526,f537,f534,f530]) ).

fof(f526,plain,
    ! [X0] :
      ( ~ sdtlseqdt0(xj,xi)
      | szszuzczcdt0(X0) != xi
      | aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(duplicate_literal_removal,[],[f458]) ).

fof(f458,plain,
    ! [X0] :
      ( ~ sdtlseqdt0(xj,xi)
      | ~ sdtlseqdt0(xj,xi)
      | ~ aElementOf0(X0,szNzAzT0)
      | aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
      | szszuzczcdt0(X0) != xi ),
    inference(cnf_transformation,[],[f197]) ).

fof(f197,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    | ~ sdtlseqdt0(xj,xi)
    | ~ sdtlseqdt0(xj,xi)
    | ! [X0] :
        ( szszuzczcdt0(X0) != xi
        | ~ aElementOf0(X0,szNzAzT0) ) ),
    inference(flattening,[],[f196]) ).

fof(f196,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    | ~ sdtlseqdt0(xj,xi)
    | ! [X0] :
        ( szszuzczcdt0(X0) != xi
        | ~ aElementOf0(X0,szNzAzT0) )
    | ~ sdtlseqdt0(xj,xi) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,axiom,
    ( ( ? [X0] :
          ( aElementOf0(X0,szNzAzT0)
          & szszuzczcdt0(X0) = xi )
      & sdtlseqdt0(xj,xi) )
   => ( sdtlseqdt0(xj,xi)
     => aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3786_02) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM574+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 07:05:20 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  % (6133)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)
% 0.19/0.47  % (6141)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.48  % (6155)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)
% 0.19/0.49  % (6140)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.49  % (6154)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)
% 0.19/0.49  % (6147)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50  % (6131)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)
% 0.19/0.51  % (6139)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)
% 0.19/0.51  % (6146)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51  % (6150)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)
% 0.19/0.52  % (6142)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)
% 0.19/0.52  % (6128)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)
% 0.19/0.52  % (6152)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52  % (6132)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (6130)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)
% 0.19/0.53  % (6134)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)
% 0.19/0.53  % (6148)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.53  % (6149)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53  % (6144)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)
% 0.19/0.53  % (6138)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (6129)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)
% 0.19/0.53  % (6151)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)
% 0.19/0.53  % (6157)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.54  % (6153)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54  % (6135)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (6136)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (6137)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)
% 0.19/0.54  % (6136)Instruction limit reached!
% 0.19/0.54  % (6136)------------------------------
% 0.19/0.54  % (6136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (6136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (6145)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54  % (6136)Termination reason: Unknown
% 0.19/0.54  % (6136)Termination phase: shuffling
% 0.19/0.54  
% 0.19/0.54  % (6136)Memory used [KB]: 895
% 0.19/0.54  % (6136)Time elapsed: 0.003 s
% 0.19/0.54  % (6136)Instructions burned: 2 (million)
% 0.19/0.54  % (6136)------------------------------
% 0.19/0.54  % (6136)------------------------------
% 0.19/0.55  % (6156)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55  % (6141)First to succeed.
% 0.19/0.56  % (6141)Refutation found. Thanks to Tanya!
% 0.19/0.56  % SZS status Theorem for theBenchmark
% 0.19/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56  % (6141)------------------------------
% 0.19/0.56  % (6141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (6141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (6141)Termination reason: Refutation
% 0.19/0.56  
% 0.19/0.56  % (6141)Memory used [KB]: 6396
% 0.19/0.56  % (6141)Time elapsed: 0.140 s
% 0.19/0.56  % (6141)Instructions burned: 42 (million)
% 0.19/0.56  % (6141)------------------------------
% 0.19/0.56  % (6141)------------------------------
% 0.19/0.56  % (6127)Success in time 0.211 s
%------------------------------------------------------------------------------