TSTP Solution File: NUM536+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM536+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n013.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 May  1 03:31:54 EDT 2024

% Result   : Theorem 1.36s 0.93s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  160 (  20 unt;   0 def)
%            Number of atoms       :  610 (  85 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  788 ( 338   ~; 400   |;  23   &)
%                                         (  19 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   6 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :  194 ( 194   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1546,plain,
    $false,
    inference(avatar_sat_refutation,[],[f649,f654,f723,f943,f1080,f1545]) ).

fof(f1545,plain,
    ( ~ spl6_11
    | spl6_12 ),
    inference(avatar_contradiction_clause,[],[f1544]) ).

fof(f1544,plain,
    ( $false
    | ~ spl6_11
    | spl6_12 ),
    inference(subsumption_resolution,[],[f1543,f1010]) ).

fof(f1010,plain,
    ( xS != sdtmndt0(sF4,xx)
    | spl6_12 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f1009,plain,
    ( spl6_12
  <=> xS = sdtmndt0(sF4,xx) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).

fof(f1543,plain,
    ( xS = sdtmndt0(sF4,xx)
    | ~ spl6_11
    | spl6_12 ),
    inference(subsumption_resolution,[],[f1542,f44]) ).

fof(f44,plain,
    ~ aElementOf0(xx,xS),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,axiom,
    ~ aElementOf0(xx,xS),
    file('/export/starexec/sandbox2/tmp/tmp.DJY73XHfA6/Vampire---4.8_23341',m__679_02) ).

fof(f1542,plain,
    ( aElementOf0(xx,xS)
    | xS = sdtmndt0(sF4,xx)
    | ~ spl6_11
    | spl6_12 ),
    inference(subsumption_resolution,[],[f1541,f96]) ).

fof(f96,plain,
    aSet0(sF4),
    inference(subsumption_resolution,[],[f95,f43]) ).

fof(f43,plain,
    aSet0(xS),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,axiom,
    ( aSet0(xS)
    & aElement0(xx) ),
    file('/export/starexec/sandbox2/tmp/tmp.DJY73XHfA6/Vampire---4.8_23341',m__679) ).

fof(f95,plain,
    ( aSet0(sF4)
    | ~ aSet0(xS) ),
    inference(subsumption_resolution,[],[f94,f42]) ).

fof(f42,plain,
    aElement0(xx),
    inference(cnf_transformation,[],[f18]) ).

fof(f94,plain,
    ( aSet0(sF4)
    | ~ aElement0(xx)
    | ~ aSet0(xS) ),
    inference(superposition,[],[f83,f89]) ).

fof(f89,plain,
    sdtpldt0(xS,xx) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( aSet0(sdtpldt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aSet0(X0) ),
    inference(equality_resolution,[],[f63]) ).

fof(f63,plain,
    ! [X2,X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElement0(X1)
      | aSet0(X2)
      | sdtpldt0(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtpldt0(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( ( X1 = X3
                    | aElementOf0(X3,X0) )
                  & aElement0(X3) ) )
            & aSet0(X2) ) )
      | ~ aElement0(X1)
      | ~ aSet0(X0) ),
    inference(flattening,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtpldt0(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( ( X1 = X3
                    | aElementOf0(X3,X0) )
                  & aElement0(X3) ) )
            & aSet0(X2) ) )
      | ~ aElement0(X1)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aSet0(X0) )
     => ! [X2] :
          ( sdtpldt0(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( ( X1 = X3
                    | aElementOf0(X3,X0) )
                  & aElement0(X3) ) )
            & aSet0(X2) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DJY73XHfA6/Vampire---4.8_23341',mDefCons) ).

fof(f1541,plain,
    ( ~ aSet0(sF4)
    | aElementOf0(xx,xS)
    | xS = sdtmndt0(sF4,xx)
    | ~ spl6_11
    | spl6_12 ),
    inference(subsumption_resolution,[],[f1540,f43]) ).

fof(f1540,plain,
    ( ~ aSet0(xS)
    | ~ aSet0(sF4)
    | aElementOf0(xx,xS)
    | xS = sdtmndt0(sF4,xx)
    | ~ spl6_11
    | spl6_12 ),
    inference(subsumption_resolution,[],[f1539,f42]) ).

fof(f1539,plain,
    ( ~ aElement0(xx)
    | ~ aSet0(xS)
    | ~ aSet0(sF4)
    | aElementOf0(xx,xS)
    | xS = sdtmndt0(sF4,xx)
    | ~ spl6_11
    | spl6_12 ),
    inference(trivial_inequality_removal,[],[f1536]) ).

fof(f1536,plain,
    ( xx != xx
    | ~ aElement0(xx)
    | ~ aSet0(xS)
    | ~ aSet0(sF4)
    | aElementOf0(xx,xS)
    | xS = sdtmndt0(sF4,xx)
    | ~ spl6_11
    | spl6_12 ),
    inference(superposition,[],[f53,f1531]) ).

fof(f1531,plain,
    ( xx = sK0(sF4,xx,xS)
    | ~ spl6_11
    | spl6_12 ),
    inference(subsumption_resolution,[],[f1530,f96]) ).

fof(f1530,plain,
    ( xx = sK0(sF4,xx,xS)
    | ~ aSet0(sF4)
    | ~ spl6_11
    | spl6_12 ),
    inference(subsumption_resolution,[],[f1529,f1514]) ).

fof(f1514,plain,
    ( aElementOf0(sK0(sF4,xx,xS),sF4)
    | spl6_12 ),
    inference(subsumption_resolution,[],[f1513,f1010]) ).

fof(f1513,plain,
    ( aElementOf0(sK0(sF4,xx,xS),sF4)
    | xS = sdtmndt0(sF4,xx)
    | spl6_12 ),
    inference(subsumption_resolution,[],[f1512,f96]) ).

fof(f1512,plain,
    ( aElementOf0(sK0(sF4,xx,xS),sF4)
    | ~ aSet0(sF4)
    | xS = sdtmndt0(sF4,xx)
    | spl6_12 ),
    inference(subsumption_resolution,[],[f1511,f43]) ).

fof(f1511,plain,
    ( ~ aSet0(xS)
    | aElementOf0(sK0(sF4,xx,xS),sF4)
    | ~ aSet0(sF4)
    | xS = sdtmndt0(sF4,xx)
    | spl6_12 ),
    inference(subsumption_resolution,[],[f1500,f42]) ).

fof(f1500,plain,
    ( ~ aElement0(xx)
    | ~ aSet0(xS)
    | aElementOf0(sK0(sF4,xx,xS),sF4)
    | ~ aSet0(sF4)
    | xS = sdtmndt0(sF4,xx)
    | spl6_12 ),
    inference(resolution,[],[f1499,f52]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( aElementOf0(sK0(X0,X1,X2),X2)
      | ~ aElement0(X1)
      | ~ aSet0(X2)
      | aElementOf0(sK0(X0,X1,X2),X0)
      | ~ aSet0(X0)
      | sdtmndt0(X0,X1) = X2 ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtmndt0(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( X1 != X3
                  & aElementOf0(X3,X0)
                  & aElement0(X3) ) )
            & aSet0(X2) ) )
      | ~ aElement0(X1)
      | ~ aSet0(X0) ),
    inference(flattening,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtmndt0(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( X1 != X3
                  & aElementOf0(X3,X0)
                  & aElement0(X3) ) )
            & aSet0(X2) ) )
      | ~ aElement0(X1)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aSet0(X0) )
     => ! [X2] :
          ( sdtmndt0(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( X1 != X3
                  & aElementOf0(X3,X0)
                  & aElement0(X3) ) )
            & aSet0(X2) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DJY73XHfA6/Vampire---4.8_23341',mDefDiff) ).

fof(f1499,plain,
    ( ~ aElementOf0(sK0(sF4,xx,xS),xS)
    | spl6_12 ),
    inference(subsumption_resolution,[],[f1498,f117]) ).

fof(f117,plain,
    ! [X0] :
      ( aElementOf0(X0,sF4)
      | ~ aElementOf0(X0,xS) ),
    inference(subsumption_resolution,[],[f116,f43]) ).

fof(f116,plain,
    ! [X0] :
      ( aElementOf0(X0,sF4)
      | ~ aElementOf0(X0,xS)
      | ~ aSet0(xS) ),
    inference(subsumption_resolution,[],[f113,f42]) ).

fof(f113,plain,
    ! [X0] :
      ( aElementOf0(X0,sF4)
      | ~ aElement0(xx)
      | ~ aElementOf0(X0,xS)
      | ~ aSet0(xS) ),
    inference(superposition,[],[f111,f89]) ).

fof(f111,plain,
    ! [X3,X0,X1] :
      ( aElementOf0(X3,sdtpldt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElementOf0(X3,X0)
      | ~ aSet0(X0) ),
    inference(subsumption_resolution,[],[f88,f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( aElement0(X1)
      | ~ aElementOf0(X1,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0] :
      ( ! [X1] :
          ( aElement0(X1)
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DJY73XHfA6/Vampire---4.8_23341',mEOfElem) ).

fof(f88,plain,
    ! [X3,X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElement0(X1)
      | ~ aElement0(X3)
      | ~ aElementOf0(X3,X0)
      | aElementOf0(X3,sdtpldt0(X0,X1)) ),
    inference(equality_resolution,[],[f58]) ).

fof(f58,plain,
    ! [X2,X3,X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElement0(X1)
      | ~ aElement0(X3)
      | ~ aElementOf0(X3,X0)
      | aElementOf0(X3,X2)
      | sdtpldt0(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f28]) ).

fof(f1498,plain,
    ( ~ aElementOf0(sK0(sF4,xx,xS),sF4)
    | ~ aElementOf0(sK0(sF4,xx,xS),xS)
    | spl6_12 ),
    inference(subsumption_resolution,[],[f1493,f1010]) ).

fof(f1493,plain,
    ( xS = sdtmndt0(sF4,xx)
    | ~ aElementOf0(sK0(sF4,xx,xS),sF4)
    | ~ aElementOf0(sK0(sF4,xx,xS),xS) ),
    inference(resolution,[],[f550,f96]) ).

fof(f550,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | xS = sdtmndt0(X0,xx)
      | ~ aElementOf0(sK0(X0,xx,xS),X0)
      | ~ aElementOf0(sK0(X0,xx,xS),xS) ),
    inference(subsumption_resolution,[],[f545,f43]) ).

fof(f545,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ~ aSet0(xS)
      | xS = sdtmndt0(X0,xx)
      | ~ aElementOf0(sK0(X0,xx,xS),X0)
      | ~ aElementOf0(sK0(X0,xx,xS),xS) ),
    inference(resolution,[],[f330,f44]) ).

fof(f330,plain,
    ! [X0,X1] :
      ( aElementOf0(xx,X0)
      | ~ aSet0(X1)
      | ~ aSet0(X0)
      | sdtmndt0(X1,xx) = X0
      | ~ aElementOf0(sK0(X1,xx,X0),X1)
      | ~ aElementOf0(sK0(X1,xx,X0),X0) ),
    inference(resolution,[],[f272,f42]) ).

fof(f272,plain,
    ! [X2,X0,X1] :
      ( ~ aElement0(X1)
      | ~ aSet0(X2)
      | ~ aSet0(X0)
      | aElementOf0(X1,X2)
      | sdtmndt0(X0,X1) = X2
      | ~ aElementOf0(sK0(X0,X1,X2),X0)
      | ~ aElementOf0(sK0(X0,X1,X2),X2) ),
    inference(trivial_inequality_removal,[],[f271]) ).

fof(f271,plain,
    ! [X2,X0,X1] :
      ( X1 != X1
      | ~ aElement0(X1)
      | ~ aSet0(X2)
      | ~ aSet0(X0)
      | aElementOf0(X1,X2)
      | sdtmndt0(X0,X1) = X2
      | ~ aElementOf0(sK0(X0,X1,X2),X0)
      | ~ aElementOf0(sK0(X0,X1,X2),X2) ),
    inference(duplicate_literal_removal,[],[f264]) ).

fof(f264,plain,
    ! [X2,X0,X1] :
      ( X1 != X1
      | ~ aElement0(X1)
      | ~ aSet0(X2)
      | ~ aSet0(X0)
      | aElementOf0(X1,X2)
      | sdtmndt0(X0,X1) = X2
      | ~ aElement0(X1)
      | ~ aSet0(X2)
      | ~ aElementOf0(sK0(X0,X1,X2),X0)
      | ~ aSet0(X0)
      | ~ aElementOf0(sK0(X0,X1,X2),X2)
      | sdtmndt0(X0,X1) = X2 ),
    inference(superposition,[],[f53,f258]) ).

fof(f258,plain,
    ! [X2,X0,X1] :
      ( sK0(X0,X1,X2) = X1
      | ~ aElement0(X1)
      | ~ aSet0(X2)
      | ~ aElementOf0(sK0(X0,X1,X2),X0)
      | ~ aSet0(X0)
      | ~ aElementOf0(sK0(X0,X1,X2),X2)
      | sdtmndt0(X0,X1) = X2 ),
    inference(subsumption_resolution,[],[f50,f64]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElement0(X1)
      | ~ aSet0(X2)
      | ~ aElement0(sK0(X0,X1,X2))
      | ~ aElementOf0(sK0(X0,X1,X2),X0)
      | sK0(X0,X1,X2) = X1
      | ~ aElementOf0(sK0(X0,X1,X2),X2)
      | sdtmndt0(X0,X1) = X2 ),
    inference(cnf_transformation,[],[f26]) ).

fof(f1529,plain,
    ( ~ aElementOf0(sK0(sF4,xx,xS),sF4)
    | xx = sK0(sF4,xx,xS)
    | ~ aSet0(sF4)
    | ~ spl6_11
    | spl6_12 ),
    inference(subsumption_resolution,[],[f1522,f42]) ).

fof(f1522,plain,
    ( ~ aElement0(xx)
    | ~ aElementOf0(sK0(sF4,xx,xS),sF4)
    | xx = sK0(sF4,xx,xS)
    | ~ aSet0(sF4)
    | ~ spl6_11
    | spl6_12 ),
    inference(resolution,[],[f1508,f156]) ).

fof(f156,plain,
    ! [X3,X0,X1] :
      ( aElementOf0(X3,sdtmndt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElementOf0(X3,X0)
      | X1 = X3
      | ~ aSet0(X0) ),
    inference(subsumption_resolution,[],[f78,f64]) ).

fof(f78,plain,
    ! [X3,X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElement0(X1)
      | ~ aElement0(X3)
      | ~ aElementOf0(X3,X0)
      | X1 = X3
      | aElementOf0(X3,sdtmndt0(X0,X1)) ),
    inference(equality_resolution,[],[f49]) ).

fof(f49,plain,
    ! [X2,X3,X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElement0(X1)
      | ~ aElement0(X3)
      | ~ aElementOf0(X3,X0)
      | X1 = X3
      | aElementOf0(X3,X2)
      | sdtmndt0(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f26]) ).

fof(f1508,plain,
    ( ~ aElementOf0(sK0(sF4,xx,xS),sdtmndt0(sF4,xx))
    | ~ spl6_11
    | spl6_12 ),
    inference(resolution,[],[f1499,f967]) ).

fof(f967,plain,
    ( ! [X0] :
        ( aElementOf0(X0,xS)
        | ~ aElementOf0(X0,sdtmndt0(sF4,xx)) )
    | ~ spl6_11 ),
    inference(subsumption_resolution,[],[f957,f43]) ).

fof(f957,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,sdtmndt0(sF4,xx))
        | aElementOf0(X0,xS)
        | ~ aSet0(xS) )
    | ~ spl6_11 ),
    inference(resolution,[],[f722,f67]) ).

fof(f67,plain,
    ! [X2,X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | ~ aElementOf0(X2,X1)
      | aElementOf0(X2,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( ! [X2] :
                ( aElementOf0(X2,X0)
                | ~ aElementOf0(X2,X1) )
            & aSet0(X1) ) )
      | ~ aSet0(X0) ),
    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/sandbox2/tmp/tmp.DJY73XHfA6/Vampire---4.8_23341',mDefSub) ).

fof(f722,plain,
    ( aSubsetOf0(sdtmndt0(sF4,xx),xS)
    | ~ spl6_11 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f720,plain,
    ( spl6_11
  <=> aSubsetOf0(sdtmndt0(sF4,xx),xS) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( sK0(X0,X1,X2) != X1
      | ~ aElement0(X1)
      | ~ aSet0(X2)
      | ~ aSet0(X0)
      | aElementOf0(sK0(X0,X1,X2),X2)
      | sdtmndt0(X0,X1) = X2 ),
    inference(cnf_transformation,[],[f26]) ).

fof(f1080,plain,
    ~ spl6_12,
    inference(avatar_contradiction_clause,[],[f1079]) ).

fof(f1079,plain,
    ( $false
    | ~ spl6_12 ),
    inference(subsumption_resolution,[],[f1049,f93]) ).

fof(f93,plain,
    ~ sP3(sdtmndt0(sF4,xx)),
    inference(backward_demodulation,[],[f91,f90]) ).

fof(f90,plain,
    sdtmndt0(sF4,xx) = sF5,
    introduced(function_definition,[new_symbols(definition,[sF5])]) ).

fof(f91,plain,
    ~ sP3(sF5),
    inference(definition_folding,[],[f75,f90,f89]) ).

fof(f75,plain,
    ~ sP3(sdtmndt0(sdtpldt0(xS,xx),xx)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).

fof(f1049,plain,
    ( sP3(sdtmndt0(sF4,xx))
    | ~ spl6_12 ),
    inference(backward_demodulation,[],[f76,f1011]) ).

fof(f1011,plain,
    ( xS = sdtmndt0(sF4,xx)
    | ~ spl6_12 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f76,plain,
    sP3(xS),
    inference(inequality_splitting,[],[f45,f75]) ).

fof(f45,plain,
    xS != sdtmndt0(sdtpldt0(xS,xx),xx),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    xS != sdtmndt0(sdtpldt0(xS,xx),xx),
    inference(flattening,[],[f21]) ).

fof(f21,negated_conjecture,
    xS != sdtmndt0(sdtpldt0(xS,xx),xx),
    inference(negated_conjecture,[],[f20]) ).

fof(f20,conjecture,
    xS = sdtmndt0(sdtpldt0(xS,xx),xx),
    file('/export/starexec/sandbox2/tmp/tmp.DJY73XHfA6/Vampire---4.8_23341',m__) ).

fof(f943,plain,
    ( spl6_11
    | ~ spl6_8
    | spl6_10 ),
    inference(avatar_split_clause,[],[f930,f716,f642,f720]) ).

fof(f642,plain,
    ( spl6_8
  <=> aSet0(sdtmndt0(sF4,xx)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).

fof(f716,plain,
    ( spl6_10
  <=> aElementOf0(sK2(xS,sdtmndt0(sF4,xx)),sF4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).

fof(f930,plain,
    ( aSubsetOf0(sdtmndt0(sF4,xx),xS)
    | ~ spl6_8
    | spl6_10 ),
    inference(subsumption_resolution,[],[f929,f43]) ).

fof(f929,plain,
    ( ~ aSet0(xS)
    | aSubsetOf0(sdtmndt0(sF4,xx),xS)
    | ~ spl6_8
    | spl6_10 ),
    inference(subsumption_resolution,[],[f925,f643]) ).

fof(f643,plain,
    ( aSet0(sdtmndt0(sF4,xx))
    | ~ spl6_8 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f925,plain,
    ( ~ aSet0(sdtmndt0(sF4,xx))
    | ~ aSet0(xS)
    | aSubsetOf0(sdtmndt0(sF4,xx),xS)
    | spl6_10 ),
    inference(resolution,[],[f921,f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( aElementOf0(sK2(X0,X1),X1)
      | ~ aSet0(X1)
      | ~ aSet0(X0)
      | aSubsetOf0(X1,X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f921,plain,
    ( ~ aElementOf0(sK2(xS,sdtmndt0(sF4,xx)),sdtmndt0(sF4,xx))
    | spl6_10 ),
    inference(resolution,[],[f882,f718]) ).

fof(f718,plain,
    ( ~ aElementOf0(sK2(xS,sdtmndt0(sF4,xx)),sF4)
    | spl6_10 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f882,plain,
    ( ! [X0] :
        ( aElementOf0(X0,sF4)
        | ~ aElementOf0(X0,sdtmndt0(sF4,xx)) )
    | spl6_10 ),
    inference(subsumption_resolution,[],[f873,f96]) ).

fof(f873,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,sdtmndt0(sF4,xx))
        | aElementOf0(X0,sF4)
        | ~ aSet0(sF4) )
    | spl6_10 ),
    inference(resolution,[],[f870,f67]) ).

fof(f870,plain,
    ( aSubsetOf0(sdtmndt0(sF4,xx),sF4)
    | spl6_10 ),
    inference(subsumption_resolution,[],[f862,f96]) ).

fof(f862,plain,
    ( ~ aSet0(sF4)
    | aSubsetOf0(sdtmndt0(sF4,xx),sF4)
    | spl6_10 ),
    inference(resolution,[],[f852,f718]) ).

fof(f852,plain,
    ! [X0] :
      ( aElementOf0(sK2(xS,sdtmndt0(X0,xx)),X0)
      | ~ aSet0(X0)
      | aSubsetOf0(sdtmndt0(X0,xx),sF4) ),
    inference(resolution,[],[f489,f42]) ).

fof(f489,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | ~ aSet0(X0)
      | aElementOf0(sK2(xS,sdtmndt0(X0,X1)),X0)
      | aSubsetOf0(sdtmndt0(X0,X1),sF4) ),
    inference(subsumption_resolution,[],[f485,f96]) ).

fof(f485,plain,
    ! [X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElement0(X1)
      | ~ aSet0(sF4)
      | aElementOf0(sK2(xS,sdtmndt0(X0,X1)),X0)
      | aSubsetOf0(sdtmndt0(X0,X1),sF4) ),
    inference(resolution,[],[f297,f126]) ).

fof(f126,plain,
    aSubsetOf0(xS,sF4),
    inference(subsumption_resolution,[],[f125,f96]) ).

fof(f125,plain,
    ( aSubsetOf0(xS,sF4)
    | ~ aSet0(sF4) ),
    inference(subsumption_resolution,[],[f124,f43]) ).

fof(f124,plain,
    ( ~ aSet0(xS)
    | aSubsetOf0(xS,sF4)
    | ~ aSet0(sF4) ),
    inference(duplicate_literal_removal,[],[f123]) ).

fof(f123,plain,
    ( ~ aSet0(xS)
    | aSubsetOf0(xS,sF4)
    | ~ aSet0(xS)
    | ~ aSet0(sF4)
    | aSubsetOf0(xS,sF4) ),
    inference(resolution,[],[f119,f65]) ).

fof(f119,plain,
    ! [X0] :
      ( ~ aElementOf0(sK2(sF4,X0),xS)
      | ~ aSet0(X0)
      | aSubsetOf0(X0,sF4) ),
    inference(subsumption_resolution,[],[f118,f96]) ).

fof(f118,plain,
    ! [X0] :
      ( ~ aElementOf0(sK2(sF4,X0),xS)
      | ~ aSet0(X0)
      | ~ aSet0(sF4)
      | aSubsetOf0(X0,sF4) ),
    inference(resolution,[],[f117,f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(sK2(X0,X1),X0)
      | ~ aSet0(X1)
      | ~ aSet0(X0)
      | aSubsetOf0(X1,X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f297,plain,
    ! [X2,X3,X0,X1] :
      ( ~ aSubsetOf0(X0,X3)
      | ~ aSet0(X1)
      | ~ aElement0(X2)
      | ~ aSet0(X3)
      | aElementOf0(sK2(X0,sdtmndt0(X1,X2)),X1)
      | aSubsetOf0(sdtmndt0(X1,X2),X3) ),
    inference(subsumption_resolution,[],[f291,f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( aSet0(X1)
      | ~ aSet0(X0)
      | ~ aSubsetOf0(X1,X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f291,plain,
    ! [X2,X3,X0,X1] :
      ( aElementOf0(sK2(X0,sdtmndt0(X1,X2)),X1)
      | ~ aSet0(X1)
      | ~ aSet0(X0)
      | ~ aElement0(X2)
      | ~ aSet0(X3)
      | ~ aSubsetOf0(X0,X3)
      | aSubsetOf0(sdtmndt0(X1,X2),X3) ),
    inference(resolution,[],[f107,f121]) ).

fof(f121,plain,
    ! [X2,X0,X1] :
      ( ~ aSubsetOf0(X0,X1)
      | ~ aSet0(X2)
      | ~ aSubsetOf0(X1,X2)
      | aSubsetOf0(X0,X2) ),
    inference(subsumption_resolution,[],[f120,f68]) ).

fof(f120,plain,
    ! [X2,X0,X1] :
      ( ~ aSet0(X1)
      | ~ aSet0(X2)
      | ~ aSubsetOf0(X0,X1)
      | ~ aSubsetOf0(X1,X2)
      | aSubsetOf0(X0,X2) ),
    inference(subsumption_resolution,[],[f71,f68]) ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( ~ aSet0(X0)
      | ~ aSet0(X1)
      | ~ aSet0(X2)
      | ~ aSubsetOf0(X0,X1)
      | ~ aSubsetOf0(X1,X2)
      | aSubsetOf0(X0,X2) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( aSubsetOf0(X0,X2)
      | ~ aSubsetOf0(X1,X2)
      | ~ aSubsetOf0(X0,X1)
      | ~ aSet0(X2)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(flattening,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( aSubsetOf0(X0,X2)
      | ~ aSubsetOf0(X1,X2)
      | ~ aSubsetOf0(X0,X1)
      | ~ aSet0(X2)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( ( aSet0(X2)
        & aSet0(X1)
        & aSet0(X0) )
     => ( ( aSubsetOf0(X1,X2)
          & aSubsetOf0(X0,X1) )
       => aSubsetOf0(X0,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DJY73XHfA6/Vampire---4.8_23341',mSubTrans) ).

fof(f107,plain,
    ! [X2,X0,X1] :
      ( aSubsetOf0(sdtmndt0(X2,X0),X1)
      | aElementOf0(sK2(X1,sdtmndt0(X2,X0)),X2)
      | ~ aSet0(X2)
      | ~ aSet0(X1)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f106,f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( aSet0(sdtmndt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aSet0(X0) ),
    inference(equality_resolution,[],[f54]) ).

fof(f54,plain,
    ! [X2,X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElement0(X1)
      | aSet0(X2)
      | sdtmndt0(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f26]) ).

fof(f106,plain,
    ! [X2,X0,X1] :
      ( ~ aElement0(X0)
      | aElementOf0(sK2(X1,sdtmndt0(X2,X0)),X2)
      | ~ aSet0(X2)
      | ~ aSet0(sdtmndt0(X2,X0))
      | ~ aSet0(X1)
      | aSubsetOf0(sdtmndt0(X2,X0),X1) ),
    inference(resolution,[],[f81,f65]) ).

fof(f81,plain,
    ! [X3,X0,X1] :
      ( ~ aElementOf0(X3,sdtmndt0(X0,X1))
      | ~ aElement0(X1)
      | aElementOf0(X3,X0)
      | ~ aSet0(X0) ),
    inference(equality_resolution,[],[f47]) ).

fof(f47,plain,
    ! [X2,X3,X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElement0(X1)
      | aElementOf0(X3,X0)
      | ~ aElementOf0(X3,X2)
      | sdtmndt0(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f26]) ).

fof(f723,plain,
    ( ~ spl6_10
    | spl6_11
    | ~ spl6_8
    | spl6_9 ),
    inference(avatar_split_clause,[],[f702,f646,f642,f720,f716]) ).

fof(f646,plain,
    ( spl6_9
  <=> aElementOf0(xx,sdtmndt0(sF4,xx)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).

fof(f702,plain,
    ( aSubsetOf0(sdtmndt0(sF4,xx),xS)
    | ~ aElementOf0(sK2(xS,sdtmndt0(sF4,xx)),sF4)
    | ~ spl6_8
    | spl6_9 ),
    inference(subsumption_resolution,[],[f699,f643]) ).

fof(f699,plain,
    ( ~ aSet0(sdtmndt0(sF4,xx))
    | aSubsetOf0(sdtmndt0(sF4,xx),xS)
    | ~ aElementOf0(sK2(xS,sdtmndt0(sF4,xx)),sF4)
    | spl6_9 ),
    inference(resolution,[],[f648,f175]) ).

fof(f175,plain,
    ! [X0] :
      ( aElementOf0(xx,X0)
      | ~ aSet0(X0)
      | aSubsetOf0(X0,xS)
      | ~ aElementOf0(sK2(xS,X0),sF4) ),
    inference(subsumption_resolution,[],[f173,f43]) ).

fof(f173,plain,
    ! [X0] :
      ( aElementOf0(xx,X0)
      | ~ aSet0(X0)
      | ~ aSet0(xS)
      | aSubsetOf0(X0,xS)
      | ~ aElementOf0(sK2(xS,X0),sF4) ),
    inference(duplicate_literal_removal,[],[f172]) ).

fof(f172,plain,
    ! [X0] :
      ( aElementOf0(xx,X0)
      | ~ aSet0(X0)
      | ~ aSet0(xS)
      | aSubsetOf0(X0,xS)
      | ~ aElementOf0(sK2(xS,X0),sF4)
      | ~ aSet0(X0)
      | aSubsetOf0(X0,xS) ),
    inference(superposition,[],[f65,f155]) ).

fof(f155,plain,
    ! [X0] :
      ( xx = sK2(xS,X0)
      | ~ aElementOf0(sK2(xS,X0),sF4)
      | ~ aSet0(X0)
      | aSubsetOf0(X0,xS) ),
    inference(subsumption_resolution,[],[f154,f43]) ).

fof(f154,plain,
    ! [X0] :
      ( ~ aElementOf0(sK2(xS,X0),sF4)
      | xx = sK2(xS,X0)
      | ~ aSet0(X0)
      | ~ aSet0(xS)
      | aSubsetOf0(X0,xS) ),
    inference(resolution,[],[f151,f66]) ).

fof(f151,plain,
    ! [X0] :
      ( aElementOf0(X0,xS)
      | ~ aElementOf0(X0,sF4)
      | xx = X0 ),
    inference(forward_demodulation,[],[f149,f89]) ).

fof(f149,plain,
    ! [X0] :
      ( aElementOf0(X0,xS)
      | xx = X0
      | ~ aElementOf0(X0,sdtpldt0(xS,xx)) ),
    inference(resolution,[],[f140,f43]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ~ aSet0(X0)
      | aElementOf0(X1,X0)
      | xx = X1
      | ~ aElementOf0(X1,sdtpldt0(X0,xx)) ),
    inference(resolution,[],[f85,f42]) ).

fof(f85,plain,
    ! [X3,X0,X1] :
      ( ~ aElement0(X1)
      | ~ aSet0(X0)
      | aElementOf0(X3,X0)
      | X1 = X3
      | ~ aElementOf0(X3,sdtpldt0(X0,X1)) ),
    inference(equality_resolution,[],[f60]) ).

fof(f60,plain,
    ! [X2,X3,X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElement0(X1)
      | aElementOf0(X3,X0)
      | X1 = X3
      | ~ aElementOf0(X3,X2)
      | sdtpldt0(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f28]) ).

fof(f648,plain,
    ( ~ aElementOf0(xx,sdtmndt0(sF4,xx))
    | spl6_9 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f654,plain,
    spl6_8,
    inference(avatar_contradiction_clause,[],[f653]) ).

fof(f653,plain,
    ( $false
    | spl6_8 ),
    inference(subsumption_resolution,[],[f652,f96]) ).

fof(f652,plain,
    ( ~ aSet0(sF4)
    | spl6_8 ),
    inference(subsumption_resolution,[],[f650,f42]) ).

fof(f650,plain,
    ( ~ aElement0(xx)
    | ~ aSet0(sF4)
    | spl6_8 ),
    inference(resolution,[],[f644,f77]) ).

fof(f644,plain,
    ( ~ aSet0(sdtmndt0(sF4,xx))
    | spl6_8 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f649,plain,
    ( ~ spl6_8
    | ~ spl6_9 ),
    inference(avatar_split_clause,[],[f628,f646,f642]) ).

fof(f628,plain,
    ( ~ aElementOf0(xx,sdtmndt0(sF4,xx))
    | ~ aSet0(sdtmndt0(sF4,xx)) ),
    inference(subsumption_resolution,[],[f618,f42]) ).

fof(f618,plain,
    ( ~ aElementOf0(xx,sdtmndt0(sF4,xx))
    | ~ aElement0(xx)
    | ~ aSet0(sdtmndt0(sF4,xx)) ),
    inference(superposition,[],[f80,f599]) ).

fof(f599,plain,
    sdtmndt0(sF4,xx) = sdtmndt0(sdtmndt0(sF4,xx),xx),
    inference(resolution,[],[f594,f96]) ).

fof(f594,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | sdtmndt0(X0,xx) = sdtmndt0(sdtmndt0(X0,xx),xx) ),
    inference(subsumption_resolution,[],[f593,f42]) ).

fof(f593,plain,
    ! [X0] :
      ( sdtmndt0(X0,xx) = sdtmndt0(sdtmndt0(X0,xx),xx)
      | ~ aSet0(X0)
      | ~ aElement0(xx) ),
    inference(duplicate_literal_removal,[],[f589]) ).

fof(f589,plain,
    ! [X0] :
      ( sdtmndt0(X0,xx) = sdtmndt0(sdtmndt0(X0,xx),xx)
      | ~ aSet0(X0)
      | ~ aElement0(xx)
      | ~ aSet0(X0) ),
    inference(resolution,[],[f414,f77]) ).

fof(f414,plain,
    ! [X0] :
      ( ~ aSet0(sdtmndt0(X0,xx))
      | sdtmndt0(X0,xx) = sdtmndt0(sdtmndt0(X0,xx),xx)
      | ~ aSet0(X0) ),
    inference(subsumption_resolution,[],[f411,f42]) ).

fof(f411,plain,
    ! [X0] :
      ( ~ aSet0(sdtmndt0(X0,xx))
      | sdtmndt0(X0,xx) = sdtmndt0(sdtmndt0(X0,xx),xx)
      | ~ aElement0(xx)
      | ~ aSet0(X0) ),
    inference(resolution,[],[f277,f80]) ).

fof(f277,plain,
    ! [X0] :
      ( aElementOf0(xx,X0)
      | ~ aSet0(X0)
      | sdtmndt0(X0,xx) = X0 ),
    inference(resolution,[],[f273,f42]) ).

fof(f273,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | aElementOf0(X1,X0)
      | ~ aSet0(X0)
      | sdtmndt0(X0,X1) = X0 ),
    inference(subsumption_resolution,[],[f268,f52]) ).

fof(f268,plain,
    ! [X0,X1] :
      ( aElementOf0(X1,X0)
      | ~ aElement0(X1)
      | ~ aSet0(X0)
      | sdtmndt0(X0,X1) = X0
      | ~ aElementOf0(sK0(X0,X1,X0),X0) ),
    inference(duplicate_literal_removal,[],[f267]) ).

fof(f267,plain,
    ! [X0,X1] :
      ( aElementOf0(X1,X0)
      | ~ aElement0(X1)
      | ~ aSet0(X0)
      | sdtmndt0(X0,X1) = X0
      | ~ aElement0(X1)
      | ~ aSet0(X0)
      | ~ aElementOf0(sK0(X0,X1,X0),X0)
      | ~ aSet0(X0)
      | ~ aElementOf0(sK0(X0,X1,X0),X0)
      | sdtmndt0(X0,X1) = X0 ),
    inference(superposition,[],[f208,f258]) ).

fof(f208,plain,
    ! [X0,X1] :
      ( aElementOf0(sK0(X0,X1,X0),X0)
      | ~ aElement0(X1)
      | ~ aSet0(X0)
      | sdtmndt0(X0,X1) = X0 ),
    inference(duplicate_literal_removal,[],[f207]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( aElementOf0(sK0(X0,X1,X0),X0)
      | ~ aElement0(X1)
      | ~ aSet0(X0)
      | ~ aSet0(X0)
      | sdtmndt0(X0,X1) = X0 ),
    inference(factoring,[],[f52]) ).

fof(f80,plain,
    ! [X3,X0] :
      ( ~ aElementOf0(X3,sdtmndt0(X0,X3))
      | ~ aElement0(X3)
      | ~ aSet0(X0) ),
    inference(equality_resolution,[],[f79]) ).

fof(f79,plain,
    ! [X2,X3,X0] :
      ( ~ aSet0(X0)
      | ~ aElement0(X3)
      | ~ aElementOf0(X3,X2)
      | sdtmndt0(X0,X3) != X2 ),
    inference(equality_resolution,[],[f48]) ).

fof(f48,plain,
    ! [X2,X3,X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElement0(X1)
      | X1 != X3
      | ~ aElementOf0(X3,X2)
      | sdtmndt0(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : NUM536+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n013.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 16:50:34 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.DJY73XHfA6/Vampire---4.8_23341
% 0.62/0.78  % (23566)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 (2995ds/83Mi)
% 0.62/0.78  % (23567)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 (2995ds/56Mi)
% 0.62/0.78  % (23560)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 (2995ds/34Mi)
% 0.62/0.78  % (23562)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.78  % (23563)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.78  % (23564)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 (2995ds/34Mi)
% 0.62/0.78  % (23561)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 (2995ds/51Mi)
% 0.62/0.78  % (23565)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.78  % (23567)Refutation not found, incomplete strategy% (23567)------------------------------
% 0.62/0.78  % (23567)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78  % (23567)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.78  
% 0.62/0.78  % (23567)Memory used [KB]: 1044
% 0.62/0.78  % (23567)Time elapsed: 0.004 s
% 0.62/0.78  % (23567)Instructions burned: 3 (million)
% 0.62/0.78  % (23567)------------------------------
% 0.62/0.78  % (23567)------------------------------
% 0.62/0.78  % (23565)Refutation not found, incomplete strategy% (23565)------------------------------
% 0.62/0.78  % (23565)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78  % (23565)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.78  
% 0.62/0.78  % (23565)Memory used [KB]: 1056
% 0.62/0.78  % (23565)Time elapsed: 0.007 s
% 0.62/0.78  % (23565)Instructions burned: 4 (million)
% 0.62/0.78  % (23565)------------------------------
% 0.62/0.78  % (23565)------------------------------
% 0.62/0.78  % (23568)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 (2995ds/55Mi)
% 0.62/0.79  % (23571)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 (2995ds/50Mi)
% 0.62/0.81  % (23564)Instruction limit reached!
% 0.62/0.81  % (23564)------------------------------
% 0.62/0.81  % (23564)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (23564)Termination reason: Unknown
% 0.62/0.81  % (23564)Termination phase: Saturation
% 0.62/0.81  
% 0.62/0.81  % (23564)Memory used [KB]: 1217
% 0.62/0.81  % (23564)Time elapsed: 0.034 s
% 0.62/0.81  % (23564)Instructions burned: 35 (million)
% 0.62/0.81  % (23564)------------------------------
% 0.62/0.81  % (23564)------------------------------
% 0.62/0.81  % (23560)Instruction limit reached!
% 0.62/0.81  % (23560)------------------------------
% 0.62/0.81  % (23560)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (23560)Termination reason: Unknown
% 0.62/0.81  % (23560)Termination phase: Saturation
% 0.62/0.81  
% 0.62/0.81  % (23560)Memory used [KB]: 1273
% 0.62/0.81  % (23560)Time elapsed: 0.034 s
% 0.62/0.81  % (23560)Instructions burned: 34 (million)
% 0.62/0.81  % (23560)------------------------------
% 0.62/0.81  % (23560)------------------------------
% 0.62/0.81  % (23563)Instruction limit reached!
% 0.62/0.81  % (23563)------------------------------
% 0.62/0.81  % (23563)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (23563)Termination reason: Unknown
% 0.62/0.81  % (23563)Termination phase: Saturation
% 0.62/0.81  
% 0.62/0.81  % (23563)Memory used [KB]: 1503
% 0.62/0.81  % (23563)Time elapsed: 0.035 s
% 0.62/0.81  % (23563)Instructions burned: 33 (million)
% 0.62/0.81  % (23563)------------------------------
% 0.62/0.81  % (23563)------------------------------
% 0.62/0.81  % (23568)Instruction limit reached!
% 0.62/0.81  % (23568)------------------------------
% 0.62/0.81  % (23568)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (23568)Termination reason: Unknown
% 0.62/0.81  % (23568)Termination phase: Saturation
% 0.62/0.81  
% 0.62/0.81  % (23568)Memory used [KB]: 1656
% 0.62/0.81  % (23568)Time elapsed: 0.032 s
% 0.62/0.81  % (23568)Instructions burned: 56 (million)
% 0.62/0.81  % (23568)------------------------------
% 0.62/0.81  % (23568)------------------------------
% 0.62/0.81  % (23575)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 (2995ds/208Mi)
% 0.62/0.81  % (23576)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 (2995ds/52Mi)
% 0.62/0.82  % (23577)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 (2995ds/518Mi)
% 0.62/0.82  % (23578)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 (2995ds/42Mi)
% 0.62/0.82  % (23566)Instruction limit reached!
% 0.62/0.82  % (23566)------------------------------
% 0.62/0.82  % (23566)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (23566)Termination reason: Unknown
% 0.62/0.82  % (23566)Termination phase: Saturation
% 0.62/0.82  
% 0.62/0.82  % (23566)Memory used [KB]: 1998
% 0.62/0.82  % (23566)Time elapsed: 0.046 s
% 0.62/0.82  % (23566)Instructions burned: 84 (million)
% 0.62/0.82  % (23566)------------------------------
% 0.62/0.82  % (23566)------------------------------
% 0.62/0.82  % (23561)Instruction limit reached!
% 0.62/0.82  % (23561)------------------------------
% 0.62/0.82  % (23561)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (23561)Termination reason: Unknown
% 0.62/0.82  % (23561)Termination phase: Saturation
% 0.62/0.82  
% 0.62/0.82  % (23561)Memory used [KB]: 1773
% 0.62/0.82  % (23561)Time elapsed: 0.047 s
% 0.62/0.82  % (23561)Instructions burned: 51 (million)
% 0.62/0.82  % (23561)------------------------------
% 0.62/0.82  % (23561)------------------------------
% 0.62/0.82  % (23579)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 (2995ds/243Mi)
% 0.62/0.83  % (23580)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)
% 0.62/0.83  % (23571)Instruction limit reached!
% 0.62/0.83  % (23571)------------------------------
% 0.62/0.83  % (23571)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83  % (23571)Termination reason: Unknown
% 0.62/0.83  % (23571)Termination phase: Saturation
% 0.62/0.83  
% 0.62/0.83  % (23571)Memory used [KB]: 1404
% 0.62/0.83  % (23571)Time elapsed: 0.041 s
% 0.62/0.83  % (23571)Instructions burned: 51 (million)
% 0.62/0.83  % (23571)------------------------------
% 0.62/0.83  % (23571)------------------------------
% 0.62/0.83  % (23584)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)
% 0.62/0.84  % (23562)Instruction limit reached!
% 0.62/0.84  % (23562)------------------------------
% 0.62/0.84  % (23562)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.84  % (23562)Termination reason: Unknown
% 0.62/0.84  % (23562)Termination phase: Saturation
% 0.62/0.84  
% 0.62/0.84  % (23562)Memory used [KB]: 1538
% 0.62/0.84  % (23562)Time elapsed: 0.063 s
% 0.62/0.84  % (23562)Instructions burned: 79 (million)
% 0.62/0.84  % (23562)------------------------------
% 0.62/0.84  % (23562)------------------------------
% 0.62/0.84  % (23578)Instruction limit reached!
% 0.62/0.84  % (23578)------------------------------
% 0.62/0.84  % (23578)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.84  % (23578)Termination reason: Unknown
% 0.62/0.84  % (23578)Termination phase: Saturation
% 0.62/0.84  
% 0.62/0.84  % (23578)Memory used [KB]: 1486
% 0.62/0.84  % (23578)Time elapsed: 0.024 s
% 0.62/0.84  % (23578)Instructions burned: 42 (million)
% 0.62/0.84  % (23578)------------------------------
% 0.62/0.84  % (23578)------------------------------
% 0.62/0.84  % (23589)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)
% 0.62/0.84  % (23590)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)
% 0.62/0.85  % (23576)Instruction limit reached!
% 0.62/0.85  % (23576)------------------------------
% 0.62/0.85  % (23576)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.85  % (23576)Termination reason: Unknown
% 0.62/0.85  % (23576)Termination phase: Saturation
% 0.62/0.85  
% 0.62/0.85  % (23576)Memory used [KB]: 1423
% 0.62/0.85  % (23576)Time elapsed: 0.034 s
% 0.62/0.85  % (23576)Instructions burned: 53 (million)
% 0.62/0.85  % (23576)------------------------------
% 0.62/0.85  % (23576)------------------------------
% 0.62/0.85  % (23592)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)
% 1.05/0.87  % (23592)Instruction limit reached!
% 1.05/0.87  % (23592)------------------------------
% 1.05/0.87  % (23592)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.05/0.87  % (23592)Termination reason: Unknown
% 1.05/0.87  % (23592)Termination phase: Saturation
% 1.05/0.87  
% 1.05/0.87  % (23592)Memory used [KB]: 1392
% 1.05/0.87  % (23592)Time elapsed: 0.044 s
% 1.05/0.87  % (23592)Instructions burned: 33 (million)
% 1.05/0.87  % (23592)------------------------------
% 1.05/0.87  % (23592)------------------------------
% 1.05/0.87  % (23590)Instruction limit reached!
% 1.05/0.87  % (23590)------------------------------
% 1.05/0.87  % (23590)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.05/0.87  % (23590)Termination reason: Unknown
% 1.05/0.87  % (23590)Termination phase: Saturation
% 1.05/0.87  
% 1.05/0.87  % (23590)Memory used [KB]: 1692
% 1.05/0.87  % (23590)Time elapsed: 0.056 s
% 1.05/0.87  % (23590)Instructions burned: 63 (million)
% 1.05/0.87  % (23590)------------------------------
% 1.05/0.87  % (23590)------------------------------
% 1.05/0.88  % (23597)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 (2994ds/1919Mi)
% 1.05/0.88  % (23598)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 1.11/0.89  % (23580)Instruction limit reached!
% 1.11/0.89  % (23580)------------------------------
% 1.11/0.89  % (23580)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.89  % (23580)Termination reason: Unknown
% 1.11/0.89  % (23580)Termination phase: Saturation
% 1.11/0.89  
% 1.11/0.89  % (23580)Memory used [KB]: 1835
% 1.11/0.90  % (23580)Time elapsed: 0.091 s
% 1.11/0.90  % (23580)Instructions burned: 118 (million)
% 1.11/0.90  % (23580)------------------------------
% 1.11/0.90  % (23580)------------------------------
% 1.11/0.90  % (23589)Instruction limit reached!
% 1.11/0.90  % (23589)------------------------------
% 1.11/0.90  % (23589)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.90  % (23589)Termination reason: Unknown
% 1.11/0.90  % (23589)Termination phase: Saturation
% 1.11/0.90  
% 1.11/0.90  % (23589)Memory used [KB]: 1795
% 1.11/0.90  % (23589)Time elapsed: 0.080 s
% 1.11/0.90  % (23589)Instructions burned: 94 (million)
% 1.11/0.90  % (23589)------------------------------
% 1.11/0.90  % (23589)------------------------------
% 1.11/0.90  % (23604)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 1.11/0.90  % (23605)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 1.11/0.91  % (23598)Instruction limit reached!
% 1.11/0.91  % (23598)------------------------------
% 1.11/0.91  % (23598)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.91  % (23598)Termination reason: Unknown
% 1.11/0.91  % (23598)Termination phase: Saturation
% 1.11/0.91  
% 1.11/0.91  % (23598)Memory used [KB]: 1699
% 1.11/0.91  % (23598)Time elapsed: 0.030 s
% 1.11/0.91  % (23598)Instructions burned: 56 (million)
% 1.11/0.91  % (23598)------------------------------
% 1.11/0.91  % (23598)------------------------------
% 1.11/0.91  % (23608)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2994ds/102Mi)
% 1.11/0.91  % (23584)Instruction limit reached!
% 1.11/0.91  % (23584)------------------------------
% 1.11/0.91  % (23584)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.91  % (23584)Termination reason: Unknown
% 1.11/0.91  % (23584)Termination phase: Saturation
% 1.11/0.91  
% 1.11/0.91  % (23584)Memory used [KB]: 2373
% 1.11/0.91  % (23584)Time elapsed: 0.104 s
% 1.11/0.91  % (23584)Instructions burned: 143 (million)
% 1.11/0.91  % (23584)------------------------------
% 1.11/0.91  % (23584)------------------------------
% 1.11/0.92  % (23609)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2994ds/35Mi)
% 1.36/0.93  % (23579)First to succeed.
% 1.36/0.93  % (23604)Instruction limit reached!
% 1.36/0.93  % (23604)------------------------------
% 1.36/0.93  % (23604)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.36/0.93  % (23605)Instruction limit reached!
% 1.36/0.93  % (23605)------------------------------
% 1.36/0.93  % (23605)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.36/0.93  % (23605)Termination reason: Unknown
% 1.36/0.93  % (23605)Termination phase: Saturation
% 1.36/0.93  
% 1.36/0.93  % (23605)Memory used [KB]: 1947
% 1.36/0.93  % (23605)Time elapsed: 0.032 s
% 1.36/0.93  % (23605)Instructions burned: 46 (million)
% 1.36/0.93  % (23605)------------------------------
% 1.36/0.93  % (23605)------------------------------
% 1.36/0.93  % (23604)Termination reason: Unknown
% 1.36/0.93  % (23604)Termination phase: Saturation
% 1.36/0.93  
% 1.36/0.93  % (23604)Memory used [KB]: 1528
% 1.36/0.93  % (23604)Time elapsed: 0.035 s
% 1.36/0.93  % (23604)Instructions burned: 53 (million)
% 1.36/0.93  % (23604)------------------------------
% 1.36/0.93  % (23604)------------------------------
% 1.36/0.93  % (23579)Refutation found. Thanks to Tanya!
% 1.36/0.93  % SZS status Theorem for Vampire---4
% 1.36/0.93  % SZS output start Proof for Vampire---4
% See solution above
% 1.36/0.93  % (23579)------------------------------
% 1.36/0.93  % (23579)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.36/0.93  % (23579)Termination reason: Refutation
% 1.36/0.93  
% 1.36/0.93  % (23579)Memory used [KB]: 1882
% 1.36/0.93  % (23579)Time elapsed: 0.109 s
% 1.36/0.93  % (23579)Instructions burned: 210 (million)
% 1.36/0.93  % (23579)------------------------------
% 1.36/0.93  % (23579)------------------------------
% 1.36/0.93  % (23528)Success in time 0.576 s
% 1.36/0.93  % Vampire---4.8 exiting
%------------------------------------------------------------------------------