TSTP Solution File: RNG090+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG090+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 : n007.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 03:41:48 EDT 2024

% Result   : Theorem 0.63s 0.82s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  106 (  37 unt;   0 def)
%            Number of atoms       :  250 (  53 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  256 ( 112   ~; 107   |;  18   &)
%                                         (   4 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-2 aty)
%            Number of variables   :   66 (  66   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2836,plain,
    $false,
    inference(avatar_sat_refutation,[],[f189,f192,f2829]) ).

fof(f2829,plain,
    ( ~ spl13_2
    | ~ spl13_3 ),
    inference(avatar_contradiction_clause,[],[f2828]) ).

fof(f2828,plain,
    ( $false
    | ~ spl13_2
    | ~ spl13_3 ),
    inference(subsumption_resolution,[],[f2827,f131]) ).

fof(f131,plain,
    sF9 != sF12,
    inference(definition_folding,[],[f91,f130,f129,f128,f127]) ).

fof(f127,plain,
    sdtpldt0(xx,xy) = sF9,
    introduced(function_definition,[new_symbols(definition,[sF9])]) ).

fof(f128,plain,
    sdtpldt0(xk,xm) = sF10,
    introduced(function_definition,[new_symbols(definition,[sF10])]) ).

fof(f129,plain,
    sdtpldt0(xl,xn) = sF11,
    introduced(function_definition,[new_symbols(definition,[sF11])]) ).

fof(f130,plain,
    sdtpldt0(sF10,sF11) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f91,plain,
    sdtpldt0(xx,xy) != sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    sdtpldt0(xx,xy) != sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
    inference(flattening,[],[f32]) ).

fof(f32,negated_conjecture,
    sdtpldt0(xx,xy) != sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
    inference(negated_conjecture,[],[f31]) ).

fof(f31,conjecture,
    sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
    file('/export/starexec/sandbox/tmp/tmp.gYLW1uwRht/Vampire---4.8_7046',m__) ).

fof(f2827,plain,
    ( sF9 = sF12
    | ~ spl13_2
    | ~ spl13_3 ),
    inference(forward_demodulation,[],[f2826,f127]) ).

fof(f2826,plain,
    ( sdtpldt0(xx,xy) = sF12
    | ~ spl13_2
    | ~ spl13_3 ),
    inference(subsumption_resolution,[],[f2825,f155]) ).

fof(f155,plain,
    ( aElement0(xx)
    | ~ spl13_2 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f153,plain,
    ( spl13_2
  <=> aElement0(xx) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

fof(f2825,plain,
    ( sdtpldt0(xx,xy) = sF12
    | ~ aElement0(xx)
    | ~ spl13_3 ),
    inference(subsumption_resolution,[],[f2796,f160]) ).

fof(f160,plain,
    ( aElement0(xy)
    | ~ spl13_3 ),
    inference(avatar_component_clause,[],[f158]) ).

fof(f158,plain,
    ( spl13_3
  <=> aElement0(xy) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).

fof(f2796,plain,
    ( sdtpldt0(xx,xy) = sF12
    | ~ aElement0(xy)
    | ~ aElement0(xx)
    | ~ spl13_3 ),
    inference(superposition,[],[f100,f2740]) ).

fof(f2740,plain,
    ( sF12 = sdtpldt0(xy,xx)
    | ~ spl13_3 ),
    inference(forward_demodulation,[],[f2739,f130]) ).

fof(f2739,plain,
    ( sdtpldt0(sF10,sF11) = sdtpldt0(xy,xx)
    | ~ spl13_3 ),
    inference(subsumption_resolution,[],[f2738,f166]) ).

fof(f166,plain,
    aElement0(sF10),
    inference(subsumption_resolution,[],[f144,f134]) ).

fof(f134,plain,
    aSet0(xI),
    inference(resolution,[],[f92,f76]) ).

fof(f76,plain,
    aIdeal0(xI),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,axiom,
    ( aIdeal0(xJ)
    & aIdeal0(xI) ),
    file('/export/starexec/sandbox/tmp/tmp.gYLW1uwRht/Vampire---4.8_7046',m__870) ).

fof(f92,plain,
    ! [X0] :
      ( ~ aIdeal0(X0)
      | aSet0(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ( ! [X2] :
                  ( aElementOf0(sdtasdt0(X2,X1),X0)
                  | ~ aElement0(X2) )
              & ! [X3] :
                  ( aElementOf0(sdtpldt0(X1,X3),X0)
                  | ~ aElementOf0(X3,X0) ) )
            | ~ aElementOf0(X1,X0) )
        & aSet0(X0) )
      | ~ aIdeal0(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( aIdeal0(X0)
     => ( ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElement0(X2)
                 => aElementOf0(sdtasdt0(X2,X1),X0) )
              & ! [X3] :
                  ( aElementOf0(X3,X0)
                 => aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
        & aSet0(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElement0(X2)
                 => aElementOf0(sdtasdt0(X2,X1),X0) )
              & ! [X3] :
                  ( aElementOf0(X3,X0)
                 => aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
        & aSet0(X0) ) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElement0(X2)
                 => aElementOf0(sdtasdt0(X2,X1),X0) )
              & ! [X2] :
                  ( aElementOf0(X2,X0)
                 => aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
        & aSet0(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gYLW1uwRht/Vampire---4.8_7046',mDefIdeal) ).

fof(f144,plain,
    ( aElement0(sF10)
    | ~ aSet0(xI) ),
    inference(resolution,[],[f107,f133]) ).

fof(f133,plain,
    aElementOf0(sF10,xI),
    inference(forward_demodulation,[],[f87,f128]) ).

fof(f87,plain,
    aElementOf0(sdtpldt0(xk,xm),xI),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,axiom,
    ( aElementOf0(sdtpldt0(xl,xn),xJ)
    & aElementOf0(sdtpldt0(xk,xm),xI) ),
    file('/export/starexec/sandbox/tmp/tmp.gYLW1uwRht/Vampire---4.8_7046',m__994) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,X0)
      | aElement0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0] :
      ( ! [X1] :
          ( aElement0(X1)
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gYLW1uwRht/Vampire---4.8_7046',mEOfElem) ).

fof(f2738,plain,
    ( sdtpldt0(sF10,sF11) = sdtpldt0(xy,xx)
    | ~ aElement0(sF10)
    | ~ spl13_3 ),
    inference(subsumption_resolution,[],[f2716,f167]) ).

fof(f167,plain,
    aElement0(sF11),
    inference(subsumption_resolution,[],[f145,f135]) ).

fof(f135,plain,
    aSet0(xJ),
    inference(resolution,[],[f92,f77]) ).

fof(f77,plain,
    aIdeal0(xJ),
    inference(cnf_transformation,[],[f25]) ).

fof(f145,plain,
    ( aElement0(sF11)
    | ~ aSet0(xJ) ),
    inference(resolution,[],[f107,f132]) ).

fof(f132,plain,
    aElementOf0(sF11,xJ),
    inference(forward_demodulation,[],[f88,f129]) ).

fof(f88,plain,
    aElementOf0(sdtpldt0(xl,xn),xJ),
    inference(cnf_transformation,[],[f29]) ).

fof(f2716,plain,
    ( sdtpldt0(sF10,sF11) = sdtpldt0(xy,xx)
    | ~ aElement0(sF11)
    | ~ aElement0(sF10)
    | ~ spl13_3 ),
    inference(superposition,[],[f2660,f100]) ).

fof(f2660,plain,
    ( sdtpldt0(xy,xx) = sdtpldt0(sF11,sF10)
    | ~ spl13_3 ),
    inference(forward_demodulation,[],[f2659,f83]) ).

fof(f83,plain,
    xx = sdtpldt0(xk,xl),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,axiom,
    ( xx = sdtpldt0(xk,xl)
    & aElementOf0(xl,xJ)
    & aElementOf0(xk,xI) ),
    file('/export/starexec/sandbox/tmp/tmp.gYLW1uwRht/Vampire---4.8_7046',m__934) ).

fof(f2659,plain,
    ( sdtpldt0(sF11,sF10) = sdtpldt0(xy,sdtpldt0(xk,xl))
    | ~ spl13_3 ),
    inference(subsumption_resolution,[],[f2658,f160]) ).

fof(f2658,plain,
    ( sdtpldt0(sF11,sF10) = sdtpldt0(xy,sdtpldt0(xk,xl))
    | ~ aElement0(xy)
    | ~ spl13_3 ),
    inference(subsumption_resolution,[],[f2657,f162]) ).

fof(f162,plain,
    aElement0(xk),
    inference(subsumption_resolution,[],[f140,f134]) ).

fof(f140,plain,
    ( aElement0(xk)
    | ~ aSet0(xI) ),
    inference(resolution,[],[f107,f81]) ).

fof(f81,plain,
    aElementOf0(xk,xI),
    inference(cnf_transformation,[],[f27]) ).

fof(f2657,plain,
    ( sdtpldt0(sF11,sF10) = sdtpldt0(xy,sdtpldt0(xk,xl))
    | ~ aElement0(xk)
    | ~ aElement0(xy)
    | ~ spl13_3 ),
    inference(subsumption_resolution,[],[f2326,f163]) ).

fof(f163,plain,
    aElement0(xl),
    inference(subsumption_resolution,[],[f141,f135]) ).

fof(f141,plain,
    ( aElement0(xl)
    | ~ aSet0(xJ) ),
    inference(resolution,[],[f107,f82]) ).

fof(f82,plain,
    aElementOf0(xl,xJ),
    inference(cnf_transformation,[],[f27]) ).

fof(f2326,plain,
    ( sdtpldt0(sF11,sF10) = sdtpldt0(xy,sdtpldt0(xk,xl))
    | ~ aElement0(xl)
    | ~ aElement0(xk)
    | ~ aElement0(xy)
    | ~ spl13_3 ),
    inference(superposition,[],[f514,f707]) ).

fof(f707,plain,
    ( sdtpldt0(sF11,sF10) = sdtpldt0(xl,sdtpldt0(xy,xk))
    | ~ spl13_3 ),
    inference(subsumption_resolution,[],[f706,f160]) ).

fof(f706,plain,
    ( sdtpldt0(sF11,sF10) = sdtpldt0(xl,sdtpldt0(xy,xk))
    | ~ aElement0(xy) ),
    inference(subsumption_resolution,[],[f698,f162]) ).

fof(f698,plain,
    ( sdtpldt0(sF11,sF10) = sdtpldt0(xl,sdtpldt0(xy,xk))
    | ~ aElement0(xk)
    | ~ aElement0(xy) ),
    inference(superposition,[],[f658,f100]) ).

fof(f658,plain,
    sdtpldt0(sF11,sF10) = sdtpldt0(xl,sdtpldt0(xk,xy)),
    inference(subsumption_resolution,[],[f646,f166]) ).

fof(f646,plain,
    ( sdtpldt0(sF11,sF10) = sdtpldt0(xl,sdtpldt0(xk,xy))
    | ~ aElement0(sF10) ),
    inference(superposition,[],[f509,f614]) ).

fof(f614,plain,
    sdtpldt0(xk,xy) = sdtpldt0(xn,sF10),
    inference(subsumption_resolution,[],[f613,f165]) ).

fof(f165,plain,
    aElement0(xn),
    inference(subsumption_resolution,[],[f143,f135]) ).

fof(f143,plain,
    ( aElement0(xn)
    | ~ aSet0(xJ) ),
    inference(resolution,[],[f107,f85]) ).

fof(f85,plain,
    aElementOf0(xn,xJ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,axiom,
    ( xy = sdtpldt0(xm,xn)
    & aElementOf0(xn,xJ)
    & aElementOf0(xm,xI) ),
    file('/export/starexec/sandbox/tmp/tmp.gYLW1uwRht/Vampire---4.8_7046',m__967) ).

fof(f613,plain,
    ( sdtpldt0(xk,xy) = sdtpldt0(xn,sF10)
    | ~ aElement0(xn) ),
    inference(subsumption_resolution,[],[f605,f166]) ).

fof(f605,plain,
    ( sdtpldt0(xk,xy) = sdtpldt0(xn,sF10)
    | ~ aElement0(sF10)
    | ~ aElement0(xn) ),
    inference(superposition,[],[f597,f100]) ).

fof(f597,plain,
    sdtpldt0(sF10,xn) = sdtpldt0(xk,xy),
    inference(subsumption_resolution,[],[f587,f165]) ).

fof(f587,plain,
    ( sdtpldt0(sF10,xn) = sdtpldt0(xk,xy)
    | ~ aElement0(xn) ),
    inference(superposition,[],[f507,f86]) ).

fof(f86,plain,
    xy = sdtpldt0(xm,xn),
    inference(cnf_transformation,[],[f28]) ).

fof(f507,plain,
    ! [X0] :
      ( sdtpldt0(xk,sdtpldt0(xm,X0)) = sdtpldt0(sF10,X0)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f506,f162]) ).

fof(f506,plain,
    ! [X0] :
      ( sdtpldt0(xk,sdtpldt0(xm,X0)) = sdtpldt0(sF10,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xk) ),
    inference(subsumption_resolution,[],[f478,f164]) ).

fof(f164,plain,
    aElement0(xm),
    inference(subsumption_resolution,[],[f142,f134]) ).

fof(f142,plain,
    ( aElement0(xm)
    | ~ aSet0(xI) ),
    inference(resolution,[],[f107,f84]) ).

fof(f84,plain,
    aElementOf0(xm,xI),
    inference(cnf_transformation,[],[f28]) ).

fof(f478,plain,
    ! [X0] :
      ( sdtpldt0(xk,sdtpldt0(xm,X0)) = sdtpldt0(sF10,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xm)
      | ~ aElement0(xk) ),
    inference(superposition,[],[f99,f128]) ).

fof(f99,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2] :
      ( ( aElement0(X2)
        & aElement0(X1)
        & aElement0(X0) )
     => sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.gYLW1uwRht/Vampire---4.8_7046',mAddAsso) ).

fof(f509,plain,
    ! [X0] :
      ( sdtpldt0(xl,sdtpldt0(xn,X0)) = sdtpldt0(sF11,X0)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f508,f163]) ).

fof(f508,plain,
    ! [X0] :
      ( sdtpldt0(xl,sdtpldt0(xn,X0)) = sdtpldt0(sF11,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xl) ),
    inference(subsumption_resolution,[],[f479,f165]) ).

fof(f479,plain,
    ! [X0] :
      ( sdtpldt0(xl,sdtpldt0(xn,X0)) = sdtpldt0(sF11,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xn)
      | ~ aElement0(xl) ),
    inference(superposition,[],[f99,f129]) ).

fof(f514,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(X2,sdtpldt0(X0,X1))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f495,f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( aElement0(sdtpldt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( aElement0(sdtpldt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( aElement0(sdtpldt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aElement0(X0) )
     => aElement0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.gYLW1uwRht/Vampire---4.8_7046',mSortsB) ).

fof(f495,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(X2,sdtpldt0(X0,X1))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ aElement0(sdtpldt0(X0,X1)) ),
    inference(duplicate_literal_removal,[],[f483]) ).

fof(f483,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(X2,sdtpldt0(X0,X1))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ aElement0(sdtpldt0(X0,X1))
      | ~ aElement0(X2) ),
    inference(superposition,[],[f99,f100]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aElement0(X0) )
     => sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.gYLW1uwRht/Vampire---4.8_7046',mAddComm) ).

fof(f192,plain,
    spl13_3,
    inference(avatar_split_clause,[],[f191,f158]) ).

fof(f191,plain,
    aElement0(xy),
    inference(subsumption_resolution,[],[f190,f164]) ).

fof(f190,plain,
    ( aElement0(xy)
    | ~ aElement0(xm) ),
    inference(subsumption_resolution,[],[f178,f165]) ).

fof(f178,plain,
    ( aElement0(xy)
    | ~ aElement0(xn)
    | ~ aElement0(xm) ),
    inference(superposition,[],[f102,f86]) ).

fof(f189,plain,
    spl13_2,
    inference(avatar_split_clause,[],[f188,f153]) ).

fof(f188,plain,
    aElement0(xx),
    inference(subsumption_resolution,[],[f187,f162]) ).

fof(f187,plain,
    ( aElement0(xx)
    | ~ aElement0(xk) ),
    inference(subsumption_resolution,[],[f175,f163]) ).

fof(f175,plain,
    ( aElement0(xx)
    | ~ aElement0(xl)
    | ~ aElement0(xk) ),
    inference(superposition,[],[f102,f83]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : RNG090+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15  % 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
% 0.16/0.36  % Computer : n007.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 17:24:18 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  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.gYLW1uwRht/Vampire---4.8_7046
% 0.58/0.75  % (7300)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)
% 0.58/0.75  % (7293)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)
% 0.58/0.75  % (7295)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (7294)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)
% 0.58/0.75  % (7296)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)
% 0.58/0.75  % (7297)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)
% 0.58/0.75  % (7299)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)
% 0.58/0.75  % (7298)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)
% 0.58/0.75  % (7300)Refutation not found, incomplete strategy% (7300)------------------------------
% 0.58/0.75  % (7300)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (7300)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (7300)Memory used [KB]: 1060
% 0.58/0.75  % (7300)Time elapsed: 0.003 s
% 0.58/0.75  % (7300)Instructions burned: 5 (million)
% 0.58/0.75  % (7300)------------------------------
% 0.58/0.75  % (7300)------------------------------
% 0.58/0.75  % (7298)Refutation not found, incomplete strategy% (7298)------------------------------
% 0.58/0.75  % (7298)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (7298)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (7298)Memory used [KB]: 1069
% 0.58/0.75  % (7298)Time elapsed: 0.006 s
% 0.58/0.75  % (7298)Instructions burned: 7 (million)
% 0.58/0.75  % (7298)------------------------------
% 0.58/0.75  % (7298)------------------------------
% 0.58/0.75  % (7297)Refutation not found, incomplete strategy% (7297)------------------------------
% 0.58/0.75  % (7297)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (7297)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (7297)Memory used [KB]: 1221
% 0.58/0.75  % (7297)Time elapsed: 0.006 s
% 0.58/0.75  % (7297)Instructions burned: 9 (million)
% 0.58/0.75  % (7297)------------------------------
% 0.58/0.75  % (7297)------------------------------
% 0.58/0.75  % (7293)Refutation not found, incomplete strategy% (7293)------------------------------
% 0.58/0.75  % (7293)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (7293)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (7293)Memory used [KB]: 1108
% 0.58/0.75  % (7293)Time elapsed: 0.007 s
% 0.58/0.75  % (7293)Instructions burned: 9 (million)
% 0.58/0.75  % (7293)------------------------------
% 0.58/0.75  % (7293)------------------------------
% 0.58/0.76  % (7304)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)
% 0.63/0.76  % (7301)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)
% 0.63/0.76  % (7303)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)
% 0.63/0.76  % (7302)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)
% 0.63/0.77  % (7296)Instruction limit reached!
% 0.63/0.77  % (7296)------------------------------
% 0.63/0.77  % (7296)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77  % (7296)Termination reason: Unknown
% 0.63/0.77  % (7296)Termination phase: Saturation
% 0.63/0.77  
% 0.63/0.77  % (7296)Memory used [KB]: 1559
% 0.63/0.77  % (7296)Time elapsed: 0.019 s
% 0.63/0.77  % (7296)Instructions burned: 34 (million)
% 0.63/0.77  % (7296)------------------------------
% 0.63/0.77  % (7296)------------------------------
% 0.63/0.77  % (7305)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)
% 0.63/0.78  % (7304)Instruction limit reached!
% 0.63/0.78  % (7304)------------------------------
% 0.63/0.78  % (7304)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78  % (7304)Termination reason: Unknown
% 0.63/0.78  % (7304)Termination phase: Saturation
% 0.63/0.78  
% 0.63/0.78  % (7304)Memory used [KB]: 1795
% 0.63/0.78  % (7304)Time elapsed: 0.020 s
% 0.63/0.78  % (7304)Instructions burned: 53 (million)
% 0.63/0.78  % (7304)------------------------------
% 0.63/0.78  % (7304)------------------------------
% 0.63/0.78  % (7306)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)
% 0.63/0.78  % (7294)Instruction limit reached!
% 0.63/0.78  % (7294)------------------------------
% 0.63/0.78  % (7294)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78  % (7294)Termination reason: Unknown
% 0.63/0.78  % (7294)Termination phase: Saturation
% 0.63/0.78  
% 0.63/0.78  % (7294)Memory used [KB]: 1784
% 0.63/0.78  % (7294)Time elapsed: 0.035 s
% 0.63/0.78  % (7294)Instructions burned: 51 (million)
% 0.63/0.78  % (7294)------------------------------
% 0.63/0.78  % (7294)------------------------------
% 0.63/0.78  % (7301)Instruction limit reached!
% 0.63/0.78  % (7301)------------------------------
% 0.63/0.78  % (7301)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78  % (7301)Termination reason: Unknown
% 0.63/0.79  % (7301)Termination phase: Saturation
% 0.63/0.79  
% 0.63/0.79  % (7301)Memory used [KB]: 2131
% 0.63/0.79  % (7301)Time elapsed: 0.030 s
% 0.63/0.79  % (7301)Instructions burned: 55 (million)
% 0.63/0.79  % (7301)------------------------------
% 0.63/0.79  % (7301)------------------------------
% 0.63/0.79  % (7299)Instruction limit reached!
% 0.63/0.79  % (7299)------------------------------
% 0.63/0.79  % (7299)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79  % (7299)Termination reason: Unknown
% 0.63/0.79  % (7299)Termination phase: Saturation
% 0.63/0.79  
% 0.63/0.79  % (7299)Memory used [KB]: 2126
% 0.63/0.79  % (7299)Time elapsed: 0.039 s
% 0.63/0.79  % (7299)Instructions burned: 84 (million)
% 0.63/0.79  % (7299)------------------------------
% 0.63/0.79  % (7299)------------------------------
% 0.63/0.79  % (7307)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)
% 0.63/0.79  % (7302)Instruction limit reached!
% 0.63/0.79  % (7302)------------------------------
% 0.63/0.79  % (7302)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79  % (7302)Termination reason: Unknown
% 0.63/0.79  % (7302)Termination phase: Saturation
% 0.63/0.79  
% 0.63/0.79  % (7302)Memory used [KB]: 1688
% 0.63/0.79  % (7302)Time elapsed: 0.029 s
% 0.63/0.79  % (7302)Instructions burned: 51 (million)
% 0.63/0.79  % (7302)------------------------------
% 0.63/0.79  % (7302)------------------------------
% 0.63/0.79  % (7308)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)
% 0.63/0.79  % (7309)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)
% 0.63/0.79  % (7310)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)
% 0.63/0.79  % (7306)Instruction limit reached!
% 0.63/0.79  % (7306)------------------------------
% 0.63/0.79  % (7306)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79  % (7306)Termination reason: Unknown
% 0.63/0.79  % (7306)Termination phase: Saturation
% 0.63/0.79  
% 0.63/0.79  % (7306)Memory used [KB]: 1644
% 0.63/0.79  % (7306)Time elapsed: 0.015 s
% 0.63/0.79  % (7306)Instructions burned: 42 (million)
% 0.63/0.79  % (7306)------------------------------
% 0.63/0.79  % (7306)------------------------------
% 0.63/0.79  % (7311)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)
% 0.63/0.80  % (7295)Instruction limit reached!
% 0.63/0.80  % (7295)------------------------------
% 0.63/0.80  % (7295)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (7295)Termination reason: Unknown
% 0.63/0.80  % (7295)Termination phase: Saturation
% 0.63/0.80  
% 0.63/0.80  % (7295)Memory used [KB]: 2114
% 0.63/0.80  % (7295)Time elapsed: 0.049 s
% 0.63/0.80  % (7295)Instructions burned: 78 (million)
% 0.63/0.80  % (7295)------------------------------
% 0.63/0.80  % (7295)------------------------------
% 0.63/0.80  % (7312)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)
% 0.63/0.81  % (7311)Instruction limit reached!
% 0.63/0.81  % (7311)------------------------------
% 0.63/0.81  % (7311)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  % (7311)Termination reason: Unknown
% 0.63/0.81  % (7311)Termination phase: Saturation
% 0.63/0.81  
% 0.63/0.81  % (7311)Memory used [KB]: 2570
% 0.63/0.81  % (7311)Time elapsed: 0.019 s
% 0.63/0.81  % (7311)Instructions burned: 64 (million)
% 0.63/0.81  % (7311)------------------------------
% 0.63/0.81  % (7311)------------------------------
% 0.63/0.81  % (7313)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)
% 0.63/0.82  % (7312)Instruction limit reached!
% 0.63/0.82  % (7312)------------------------------
% 0.63/0.82  % (7312)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82  % (7312)Termination reason: Unknown
% 0.63/0.82  % (7312)Termination phase: Saturation
% 0.63/0.82  
% 0.63/0.82  % (7312)Memory used [KB]: 1450
% 0.63/0.82  % (7312)Time elapsed: 0.020 s
% 0.63/0.82  % (7312)Instructions burned: 32 (million)
% 0.63/0.82  % (7312)------------------------------
% 0.63/0.82  % (7312)------------------------------
% 0.63/0.82  % (7303)First to succeed.
% 0.63/0.82  % (7303)Refutation found. Thanks to Tanya!
% 0.63/0.82  % SZS status Theorem for Vampire---4
% 0.63/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.82  % (7303)------------------------------
% 0.63/0.82  % (7303)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82  % (7303)Termination reason: Refutation
% 0.63/0.82  
% 0.63/0.82  % (7303)Memory used [KB]: 1801
% 0.63/0.82  % (7303)Time elapsed: 0.064 s
% 0.63/0.82  % (7303)Instructions burned: 116 (million)
% 0.63/0.82  % (7303)------------------------------
% 0.63/0.82  % (7303)------------------------------
% 0.63/0.82  % (7289)Success in time 0.443 s
% 0.63/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------