TSTP Solution File: NUM586+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM586+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n019.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 : Sun May  5 08:13:15 EDT 2024

% Result   : Theorem 0.75s 0.80s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   67 (  23 unt;   0 def)
%            Number of atoms       :  241 (  69 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  295 ( 121   ~; 109   |;  51   &)
%                                         (   5 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   2 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  12 con; 0-3 aty)
%            Number of variables   :   99 (  81   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1927,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1602,f1926]) ).

fof(f1926,plain,
    ~ spl24_9,
    inference(avatar_contradiction_clause,[],[f1925]) ).

fof(f1925,plain,
    ( $false
    | ~ spl24_9 ),
    inference(subsumption_resolution,[],[f1924,f509]) ).

fof(f509,plain,
    ( aSet0(sF23)
    | ~ spl24_9 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f507,plain,
    ( spl24_9
  <=> aSet0(sF23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_9])]) ).

fof(f1924,plain,
    ~ aSet0(sF23),
    inference(resolution,[],[f1913,f277]) ).

fof(f277,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( aSet0(X0)
     => aSubsetOf0(X0,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.jTjldRHyrb/Vampire---4.8_25918',mSubRefl) ).

fof(f1913,plain,
    ~ aSubsetOf0(sF23,sF23),
    inference(duplicate_literal_removal,[],[f1912]) ).

fof(f1912,plain,
    ( ~ aSubsetOf0(sF23,sF23)
    | ~ aSubsetOf0(sF23,sF23) ),
    inference(forward_demodulation,[],[f1911,f1516]) ).

fof(f1516,plain,
    sF23 = szDzozmdt0(sF19),
    inference(forward_demodulation,[],[f1515,f394]) ).

fof(f394,plain,
    sdtlpdtrp0(xC,xi) = sF19,
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f1515,plain,
    szDzozmdt0(sdtlpdtrp0(xC,xi)) = sF23,
    inference(forward_demodulation,[],[f1514,f398]) ).

fof(f398,plain,
    slbdtsldtrb0(sF22,xk) = sF23,
    introduced(function_definition,[new_symbols(definition,[sF23])]) ).

fof(f1514,plain,
    szDzozmdt0(sdtlpdtrp0(xC,xi)) = slbdtsldtrb0(sF22,xk),
    inference(forward_demodulation,[],[f1513,f397]) ).

fof(f397,plain,
    sdtmndt0(sF20,sF21) = sF22,
    introduced(function_definition,[new_symbols(definition,[sF22])]) ).

fof(f1513,plain,
    szDzozmdt0(sdtlpdtrp0(xC,xi)) = slbdtsldtrb0(sdtmndt0(sF20,sF21),xk),
    inference(forward_demodulation,[],[f1512,f396]) ).

fof(f396,plain,
    szmzizndt0(sF20) = sF21,
    introduced(function_definition,[new_symbols(definition,[sF21])]) ).

fof(f1512,plain,
    szDzozmdt0(sdtlpdtrp0(xC,xi)) = slbdtsldtrb0(sdtmndt0(sF20,szmzizndt0(sF20)),xk),
    inference(subsumption_resolution,[],[f1502,f272]) ).

fof(f272,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,axiom,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/tmp/tmp.jTjldRHyrb/Vampire---4.8_25918',m__4200) ).

fof(f1502,plain,
    ( szDzozmdt0(sdtlpdtrp0(xC,xi)) = slbdtsldtrb0(sdtmndt0(sF20,szmzizndt0(sF20)),xk)
    | ~ aElementOf0(xi,szNzAzT0) ),
    inference(superposition,[],[f270,f395]) ).

fof(f395,plain,
    sdtlpdtrp0(xN,xi) = sF20,
    introduced(function_definition,[new_symbols(definition,[sF20])]) ).

fof(f270,plain,
    ! [X0] :
      ( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ( ! [X0] :
        ( ( ! [X1] :
              ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
              | ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
              | ~ aSet0(X1) )
          & slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
          & aFunction0(sdtlpdtrp0(xC,X0)) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & szNzAzT0 = szDzozmdt0(xC)
    & aFunction0(xC) ),
    inference(flattening,[],[f108]) ).

fof(f108,plain,
    ( ! [X0] :
        ( ( ! [X1] :
              ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
              | ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
              | ~ aSet0(X1) )
          & slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
          & aFunction0(sdtlpdtrp0(xC,X0)) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & szNzAzT0 = szDzozmdt0(xC)
    & aFunction0(xC) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( ! [X1] :
              ( ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
                & aSet0(X1) )
             => sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
          & slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
          & aFunction0(sdtlpdtrp0(xC,X0)) ) )
    & szNzAzT0 = szDzozmdt0(xC)
    & aFunction0(xC) ),
    file('/export/starexec/sandbox/tmp/tmp.jTjldRHyrb/Vampire---4.8_25918',m__4151) ).

fof(f1911,plain,
    ( ~ aSubsetOf0(sF23,sF23)
    | ~ aSubsetOf0(sF23,szDzozmdt0(sF19)) ),
    inference(subsumption_resolution,[],[f1910,f453]) ).

fof(f453,plain,
    aFunction0(sF19),
    inference(subsumption_resolution,[],[f452,f272]) ).

fof(f452,plain,
    ( aFunction0(sF19)
    | ~ aElementOf0(xi,szNzAzT0) ),
    inference(superposition,[],[f269,f394]) ).

fof(f269,plain,
    ! [X0] :
      ( aFunction0(sdtlpdtrp0(xC,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f1910,plain,
    ( ~ aSubsetOf0(sF23,sF23)
    | ~ aSubsetOf0(sF23,szDzozmdt0(sF19))
    | ~ aFunction0(sF19) ),
    inference(subsumption_resolution,[],[f1909,f1576]) ).

fof(f1576,plain,
    aElementOf0(xx,sdtlcdtrc0(sF19,sF23)),
    inference(superposition,[],[f401,f1516]) ).

fof(f401,plain,
    aElementOf0(xx,sdtlcdtrc0(sF19,szDzozmdt0(sF19))),
    inference(forward_demodulation,[],[f273,f394]) ).

fof(f273,plain,
    aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,axiom,
    aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))),
    file('/export/starexec/sandbox/tmp/tmp.jTjldRHyrb/Vampire---4.8_25918',m__4200_02) ).

fof(f1909,plain,
    ( ~ aSubsetOf0(sF23,sF23)
    | ~ aElementOf0(xx,sdtlcdtrc0(sF19,sF23))
    | ~ aSubsetOf0(sF23,szDzozmdt0(sF19))
    | ~ aFunction0(sF19) ),
    inference(duplicate_literal_removal,[],[f1908]) ).

fof(f1908,plain,
    ( ~ aSubsetOf0(sF23,sF23)
    | ~ aElementOf0(xx,sdtlcdtrc0(sF19,sF23))
    | ~ aElementOf0(xx,sdtlcdtrc0(sF19,sF23))
    | ~ aSubsetOf0(sF23,szDzozmdt0(sF19))
    | ~ aFunction0(sF19) ),
    inference(resolution,[],[f1907,f380]) ).

fof(f380,plain,
    ! [X0,X1,X6] :
      ( aElementOf0(sK12(X0,X1,X6),X1)
      | ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(equality_resolution,[],[f303]) ).

fof(f303,plain,
    ! [X2,X0,X1,X6] :
      ( aElementOf0(sK12(X0,X1,X6),X1)
      | ~ aElementOf0(X6,X2)
      | sdtlcdtrc0(X0,X1) != X2
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(cnf_transformation,[],[f212]) ).

fof(f212,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( sdtlcdtrc0(X0,X1) = X2
                | ( ( ! [X4] :
                        ( sdtlpdtrp0(X0,X4) != sK10(X0,X1,X2)
                        | ~ aElementOf0(X4,X1) )
                    | ~ aElementOf0(sK10(X0,X1,X2),X2) )
                  & ( ( sK10(X0,X1,X2) = sdtlpdtrp0(X0,sK11(X0,X1,X2))
                      & aElementOf0(sK11(X0,X1,X2),X1) )
                    | aElementOf0(sK10(X0,X1,X2),X2) ) )
                | ~ aSet0(X2) )
              & ( ( ! [X6] :
                      ( ( aElementOf0(X6,X2)
                        | ! [X7] :
                            ( sdtlpdtrp0(X0,X7) != X6
                            | ~ aElementOf0(X7,X1) ) )
                      & ( ( sdtlpdtrp0(X0,sK12(X0,X1,X6)) = X6
                          & aElementOf0(sK12(X0,X1,X6),X1) )
                        | ~ aElementOf0(X6,X2) ) )
                  & aSet0(X2) )
                | sdtlcdtrc0(X0,X1) != X2 ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f208,f211,f210,f209]) ).

fof(f209,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ! [X4] :
                ( sdtlpdtrp0(X0,X4) != X3
                | ~ aElementOf0(X4,X1) )
            | ~ aElementOf0(X3,X2) )
          & ( ? [X5] :
                ( sdtlpdtrp0(X0,X5) = X3
                & aElementOf0(X5,X1) )
            | aElementOf0(X3,X2) ) )
     => ( ( ! [X4] :
              ( sdtlpdtrp0(X0,X4) != sK10(X0,X1,X2)
              | ~ aElementOf0(X4,X1) )
          | ~ aElementOf0(sK10(X0,X1,X2),X2) )
        & ( ? [X5] :
              ( sdtlpdtrp0(X0,X5) = sK10(X0,X1,X2)
              & aElementOf0(X5,X1) )
          | aElementOf0(sK10(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f210,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( sdtlpdtrp0(X0,X5) = sK10(X0,X1,X2)
          & aElementOf0(X5,X1) )
     => ( sK10(X0,X1,X2) = sdtlpdtrp0(X0,sK11(X0,X1,X2))
        & aElementOf0(sK11(X0,X1,X2),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f211,plain,
    ! [X0,X1,X6] :
      ( ? [X8] :
          ( sdtlpdtrp0(X0,X8) = X6
          & aElementOf0(X8,X1) )
     => ( sdtlpdtrp0(X0,sK12(X0,X1,X6)) = X6
        & aElementOf0(sK12(X0,X1,X6),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f208,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( sdtlcdtrc0(X0,X1) = X2
                | ? [X3] :
                    ( ( ! [X4] :
                          ( sdtlpdtrp0(X0,X4) != X3
                          | ~ aElementOf0(X4,X1) )
                      | ~ aElementOf0(X3,X2) )
                    & ( ? [X5] :
                          ( sdtlpdtrp0(X0,X5) = X3
                          & aElementOf0(X5,X1) )
                      | aElementOf0(X3,X2) ) )
                | ~ aSet0(X2) )
              & ( ( ! [X6] :
                      ( ( aElementOf0(X6,X2)
                        | ! [X7] :
                            ( sdtlpdtrp0(X0,X7) != X6
                            | ~ aElementOf0(X7,X1) ) )
                      & ( ? [X8] :
                            ( sdtlpdtrp0(X0,X8) = X6
                            & aElementOf0(X8,X1) )
                        | ~ aElementOf0(X6,X2) ) )
                  & aSet0(X2) )
                | sdtlcdtrc0(X0,X1) != X2 ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(rectify,[],[f207]) ).

fof(f207,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( sdtlcdtrc0(X0,X1) = X2
                | ? [X3] :
                    ( ( ! [X4] :
                          ( sdtlpdtrp0(X0,X4) != X3
                          | ~ aElementOf0(X4,X1) )
                      | ~ aElementOf0(X3,X2) )
                    & ( ? [X4] :
                          ( sdtlpdtrp0(X0,X4) = X3
                          & aElementOf0(X4,X1) )
                      | aElementOf0(X3,X2) ) )
                | ~ aSet0(X2) )
              & ( ( ! [X3] :
                      ( ( aElementOf0(X3,X2)
                        | ! [X4] :
                            ( sdtlpdtrp0(X0,X4) != X3
                            | ~ aElementOf0(X4,X1) ) )
                      & ( ? [X4] :
                            ( sdtlpdtrp0(X0,X4) = X3
                            & aElementOf0(X4,X1) )
                        | ~ aElementOf0(X3,X2) ) )
                  & aSet0(X2) )
                | sdtlcdtrc0(X0,X1) != X2 ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(flattening,[],[f206]) ).

fof(f206,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( sdtlcdtrc0(X0,X1) = X2
                | ? [X3] :
                    ( ( ! [X4] :
                          ( sdtlpdtrp0(X0,X4) != X3
                          | ~ aElementOf0(X4,X1) )
                      | ~ aElementOf0(X3,X2) )
                    & ( ? [X4] :
                          ( sdtlpdtrp0(X0,X4) = X3
                          & aElementOf0(X4,X1) )
                      | aElementOf0(X3,X2) ) )
                | ~ aSet0(X2) )
              & ( ( ! [X3] :
                      ( ( aElementOf0(X3,X2)
                        | ! [X4] :
                            ( sdtlpdtrp0(X0,X4) != X3
                            | ~ aElementOf0(X4,X1) ) )
                      & ( ? [X4] :
                            ( sdtlpdtrp0(X0,X4) = X3
                            & aElementOf0(X4,X1) )
                        | ~ aElementOf0(X3,X2) ) )
                  & aSet0(X2) )
                | sdtlcdtrc0(X0,X1) != X2 ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(nnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( sdtlcdtrc0(X0,X1) = X2
            <=> ( ! [X3] :
                    ( aElementOf0(X3,X2)
                  <=> ? [X4] :
                        ( sdtlpdtrp0(X0,X4) = X3
                        & aElementOf0(X4,X1) ) )
                & aSet0(X2) ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,axiom,
    ! [X0] :
      ( aFunction0(X0)
     => ! [X1] :
          ( aSubsetOf0(X1,szDzozmdt0(X0))
         => ! [X2] :
              ( sdtlcdtrc0(X0,X1) = X2
            <=> ( ! [X3] :
                    ( aElementOf0(X3,X2)
                  <=> ? [X4] :
                        ( sdtlpdtrp0(X0,X4) = X3
                        & aElementOf0(X4,X1) ) )
                & aSet0(X2) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.jTjldRHyrb/Vampire---4.8_25918',mDefSImg) ).

fof(f1907,plain,
    ! [X0] :
      ( ~ aElementOf0(sK12(sF19,X0,xx),sF23)
      | ~ aSubsetOf0(X0,sF23)
      | ~ aElementOf0(xx,sdtlcdtrc0(sF19,X0)) ),
    inference(equality_resolution,[],[f1906]) ).

fof(f1906,plain,
    ! [X0,X1] :
      ( xx != X1
      | ~ aSubsetOf0(X0,sF23)
      | ~ aElementOf0(sK12(sF19,X0,X1),sF23)
      | ~ aElementOf0(X1,sdtlcdtrc0(sF19,X0)) ),
    inference(forward_demodulation,[],[f1905,f1516]) ).

fof(f1905,plain,
    ! [X0,X1] :
      ( xx != X1
      | ~ aElementOf0(sK12(sF19,X0,X1),sF23)
      | ~ aElementOf0(X1,sdtlcdtrc0(sF19,X0))
      | ~ aSubsetOf0(X0,szDzozmdt0(sF19)) ),
    inference(subsumption_resolution,[],[f1870,f453]) ).

fof(f1870,plain,
    ! [X0,X1] :
      ( xx != X1
      | ~ aElementOf0(sK12(sF19,X0,X1),sF23)
      | ~ aElementOf0(X1,sdtlcdtrc0(sF19,X0))
      | ~ aSubsetOf0(X0,szDzozmdt0(sF19))
      | ~ aFunction0(sF19) ),
    inference(superposition,[],[f399,f379]) ).

fof(f379,plain,
    ! [X0,X1,X6] :
      ( sdtlpdtrp0(X0,sK12(X0,X1,X6)) = X6
      | ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(equality_resolution,[],[f304]) ).

fof(f304,plain,
    ! [X2,X0,X1,X6] :
      ( sdtlpdtrp0(X0,sK12(X0,X1,X6)) = X6
      | ~ aElementOf0(X6,X2)
      | sdtlcdtrc0(X0,X1) != X2
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(cnf_transformation,[],[f212]) ).

fof(f399,plain,
    ! [X0] :
      ( xx != sdtlpdtrp0(sF19,X0)
      | ~ aElementOf0(X0,sF23) ),
    inference(definition_folding,[],[f274,f398,f397,f396,f395,f395,f394]) ).

fof(f274,plain,
    ! [X0] :
      ( xx != sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0)
      | ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( xx != sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0)
      | ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
    inference(ennf_transformation,[],[f90]) ).

fof(f90,negated_conjecture,
    ~ ? [X0] :
        ( xx = sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0)
        & aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
    inference(negated_conjecture,[],[f89]) ).

fof(f89,conjecture,
    ? [X0] :
      ( xx = sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0)
      & aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
    file('/export/starexec/sandbox/tmp/tmp.jTjldRHyrb/Vampire---4.8_25918',m__) ).

fof(f1602,plain,
    spl24_9,
    inference(avatar_split_clause,[],[f1601,f507]) ).

fof(f1601,plain,
    aSet0(sF23),
    inference(subsumption_resolution,[],[f1581,f453]) ).

fof(f1581,plain,
    ( aSet0(sF23)
    | ~ aFunction0(sF19) ),
    inference(superposition,[],[f310,f1516]) ).

fof(f310,plain,
    ! [X0] :
      ( aSet0(szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0] :
      ( aSet0(szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,axiom,
    ! [X0] :
      ( aFunction0(X0)
     => aSet0(szDzozmdt0(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.jTjldRHyrb/Vampire---4.8_25918',mDomSet) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM586+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n019.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
% 0.14/0.35  % DateTime   : Fri May  3 15:15:37 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.jTjldRHyrb/Vampire---4.8_25918
% 0.55/0.72  % (26033)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.72  % (26032)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.73  % (26028)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73  % (26026)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.73  % (26029)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.73  % (26027)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.73  % (26030)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.73  % (26031)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.74  % (26030)Instruction limit reached!
% 0.55/0.74  % (26030)------------------------------
% 0.55/0.74  % (26030)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (26030)Termination reason: Unknown
% 0.55/0.74  % (26030)Termination phase: Saturation
% 0.55/0.74  
% 0.55/0.74  % (26030)Memory used [KB]: 1650
% 0.55/0.74  % (26030)Time elapsed: 0.020 s
% 0.55/0.74  % (26030)Instructions burned: 34 (million)
% 0.55/0.74  % (26030)------------------------------
% 0.55/0.74  % (26030)------------------------------
% 0.55/0.74  % (26029)Instruction limit reached!
% 0.55/0.74  % (26029)------------------------------
% 0.55/0.74  % (26029)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (26029)Termination reason: Unknown
% 0.55/0.74  % (26029)Termination phase: Saturation
% 0.55/0.74  
% 0.55/0.74  % (26029)Memory used [KB]: 1607
% 0.55/0.74  % (26029)Time elapsed: 0.021 s
% 0.55/0.74  % (26029)Instructions burned: 33 (million)
% 0.55/0.74  % (26029)------------------------------
% 0.55/0.74  % (26029)------------------------------
% 0.55/0.75  % (26026)Instruction limit reached!
% 0.55/0.75  % (26026)------------------------------
% 0.55/0.75  % (26026)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (26026)Termination reason: Unknown
% 0.55/0.75  % (26026)Termination phase: Saturation
% 0.55/0.75  
% 0.55/0.75  % (26026)Memory used [KB]: 1533
% 0.55/0.75  % (26026)Time elapsed: 0.022 s
% 0.55/0.75  % (26026)Instructions burned: 34 (million)
% 0.55/0.75  % (26026)------------------------------
% 0.55/0.75  % (26026)------------------------------
% 0.55/0.75  % (26034)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.55/0.75  % (26035)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.55/0.75  % (26033)Instruction limit reached!
% 0.55/0.75  % (26033)------------------------------
% 0.55/0.75  % (26033)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (26033)Termination reason: Unknown
% 0.55/0.75  % (26033)Termination phase: Saturation
% 0.55/0.75  
% 0.55/0.75  % (26033)Memory used [KB]: 1845
% 0.55/0.75  % (26033)Time elapsed: 0.027 s
% 0.55/0.75  % (26033)Instructions burned: 56 (million)
% 0.55/0.75  % (26033)------------------------------
% 0.55/0.75  % (26033)------------------------------
% 0.55/0.75  % (26036)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.55/0.75  % (26031)Instruction limit reached!
% 0.55/0.75  % (26031)------------------------------
% 0.55/0.75  % (26031)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (26031)Termination reason: Unknown
% 0.55/0.75  % (26031)Termination phase: Saturation
% 0.55/0.75  
% 0.55/0.75  % (26031)Memory used [KB]: 1597
% 0.55/0.75  % (26031)Time elapsed: 0.028 s
% 0.55/0.75  % (26031)Instructions burned: 45 (million)
% 0.55/0.75  % (26031)------------------------------
% 0.55/0.75  % (26031)------------------------------
% 0.55/0.75  % (26032)Instruction limit reached!
% 0.55/0.75  % (26032)------------------------------
% 0.55/0.75  % (26032)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (26032)Termination reason: Unknown
% 0.55/0.75  % (26032)Termination phase: Saturation
% 0.55/0.75  
% 0.55/0.75  % (26032)Memory used [KB]: 2438
% 0.55/0.75  % (26032)Time elapsed: 0.030 s
% 0.55/0.75  % (26032)Instructions burned: 85 (million)
% 0.55/0.75  % (26032)------------------------------
% 0.55/0.75  % (26032)------------------------------
% 0.55/0.75  % (26037)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.55/0.76  % (26038)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.55/0.76  % (26039)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.55/0.76  % (26027)Instruction limit reached!
% 0.55/0.76  % (26027)------------------------------
% 0.55/0.76  % (26027)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (26027)Termination reason: Unknown
% 0.55/0.76  % (26027)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (26027)Memory used [KB]: 1994
% 0.55/0.76  % (26027)Time elapsed: 0.035 s
% 0.55/0.76  % (26027)Instructions burned: 51 (million)
% 0.55/0.76  % (26027)------------------------------
% 0.55/0.76  % (26027)------------------------------
% 0.75/0.76  % (26040)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.75/0.77  % (26039)Instruction limit reached!
% 0.75/0.77  % (26039)------------------------------
% 0.75/0.77  % (26039)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.77  % (26039)Termination reason: Unknown
% 0.75/0.77  % (26039)Termination phase: Saturation
% 0.75/0.77  
% 0.75/0.77  % (26039)Memory used [KB]: 1826
% 0.75/0.77  % (26039)Time elapsed: 0.016 s
% 0.75/0.77  % (26039)Instructions burned: 44 (million)
% 0.75/0.77  % (26039)------------------------------
% 0.75/0.77  % (26039)------------------------------
% 0.75/0.77  % (26028)Instruction limit reached!
% 0.75/0.77  % (26028)------------------------------
% 0.75/0.77  % (26028)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.77  % (26028)Termination reason: Unknown
% 0.75/0.77  % (26028)Termination phase: Saturation
% 0.75/0.77  
% 0.75/0.77  % (26028)Memory used [KB]: 1939
% 0.75/0.77  % (26041)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.75/0.77  % (26028)Time elapsed: 0.050 s
% 0.75/0.77  % (26028)Instructions burned: 79 (million)
% 0.75/0.77  % (26028)------------------------------
% 0.75/0.77  % (26028)------------------------------
% 0.75/0.78  % (26035)Instruction limit reached!
% 0.75/0.78  % (26035)------------------------------
% 0.75/0.78  % (26035)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.78  % (26035)Termination reason: Unknown
% 0.75/0.78  % (26035)Termination phase: Saturation
% 0.75/0.78  
% 0.75/0.78  % (26035)Memory used [KB]: 1827
% 0.75/0.78  % (26035)Time elapsed: 0.029 s
% 0.75/0.78  % (26035)Instructions burned: 51 (million)
% 0.75/0.78  % (26035)------------------------------
% 0.75/0.78  % (26035)------------------------------
% 0.75/0.78  % (26034)Instruction limit reached!
% 0.75/0.78  % (26034)------------------------------
% 0.75/0.78  % (26034)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.78  % (26034)Termination reason: Unknown
% 0.75/0.78  % (26034)Termination phase: Saturation
% 0.75/0.78  
% 0.75/0.78  % (26034)Memory used [KB]: 2052
% 0.75/0.78  % (26034)Time elapsed: 0.031 s
% 0.75/0.78  % (26034)Instructions burned: 55 (million)
% 0.75/0.78  % (26034)------------------------------
% 0.75/0.78  % (26034)------------------------------
% 0.75/0.78  % (26042)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.75/0.78  % (26037)Instruction limit reached!
% 0.75/0.78  % (26037)------------------------------
% 0.75/0.78  % (26037)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.78  % (26037)Termination reason: Unknown
% 0.75/0.78  % (26037)Termination phase: Saturation
% 0.75/0.78  
% 0.75/0.78  % (26037)Memory used [KB]: 1874
% 0.75/0.78  % (26037)Time elapsed: 0.026 s
% 0.75/0.78  % (26037)Instructions burned: 53 (million)
% 0.75/0.78  % (26037)------------------------------
% 0.75/0.78  % (26037)------------------------------
% 0.75/0.78  % (26043)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.75/0.78  % (26045)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.75/0.78  % (26044)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.75/0.79  % (26045)Instruction limit reached!
% 0.75/0.79  % (26045)------------------------------
% 0.75/0.79  % (26045)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.79  % (26045)Termination reason: Unknown
% 0.75/0.79  % (26045)Termination phase: Saturation
% 0.75/0.79  
% 0.75/0.79  % (26045)Memory used [KB]: 1541
% 0.75/0.79  % (26045)Time elapsed: 0.033 s
% 0.75/0.79  % (26045)Instructions burned: 33 (million)
% 0.75/0.79  % (26045)------------------------------
% 0.75/0.79  % (26045)------------------------------
% 0.75/0.79  % (26046)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.75/0.80  % (26036)First to succeed.
% 0.75/0.80  % (26036)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26025"
% 0.75/0.80  % (26036)Refutation found. Thanks to Tanya!
% 0.75/0.80  % SZS status Theorem for Vampire---4
% 0.75/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.75/0.80  % (26036)------------------------------
% 0.75/0.80  % (26036)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.80  % (26036)Termination reason: Refutation
% 0.75/0.80  
% 0.75/0.80  % (26036)Memory used [KB]: 1772
% 0.75/0.80  % (26036)Time elapsed: 0.048 s
% 0.75/0.80  % (26036)Instructions burned: 76 (million)
% 0.75/0.80  % (26025)Success in time 0.43 s
% 0.75/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------