TSTP Solution File: NUM528+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM528+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 : n008.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 08:12:48 EDT 2024

% Result   : Theorem 0.95s 0.85s
% Output   : Refutation 0.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  152 (  15 unt;   0 def)
%            Number of atoms       :  549 ( 178 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  690 ( 293   ~; 302   |;  60   &)
%                                         (  17 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  15 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   95 (  91   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4434,plain,
    $false,
    inference(avatar_sat_refutation,[],[f247,f256,f265,f328,f391,f789,f795,f797,f816,f826,f1513,f1791,f4129,f4209,f4425]) ).

fof(f4425,plain,
    ( spl4_7
    | ~ spl4_36
    | ~ spl4_51
    | ~ spl4_54 ),
    inference(avatar_contradiction_clause,[],[f4424]) ).

fof(f4424,plain,
    ( $false
    | spl4_7
    | ~ spl4_36
    | ~ spl4_51
    | ~ spl4_54 ),
    inference(subsumption_resolution,[],[f4423,f723]) ).

fof(f723,plain,
    ( aNaturalNumber0(sdtasdt0(xm,xm))
    | ~ spl4_36 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f722,plain,
    ( spl4_36
  <=> aNaturalNumber0(sdtasdt0(xm,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).

fof(f4423,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xm,xm))
    | spl4_7
    | ~ spl4_51
    | ~ spl4_54 ),
    inference(subsumption_resolution,[],[f4422,f286]) ).

fof(f286,plain,
    ( sz10 != xp
    | spl4_7 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f285,plain,
    ( spl4_7
  <=> sz10 = xp ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f4422,plain,
    ( sz10 = xp
    | ~ aNaturalNumber0(sdtasdt0(xm,xm))
    | ~ spl4_51
    | ~ spl4_54 ),
    inference(subsumption_resolution,[],[f4421,f212]) ).

fof(f212,plain,
    aNaturalNumber0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( sz00 != sz10
    & aNaturalNumber0(sz10) ),
    file('/export/starexec/sandbox2/tmp/tmp.TQpOHSlENE/Vampire---4.8_8540',mSortsC_01) ).

fof(f4421,plain,
    ( ~ aNaturalNumber0(sz10)
    | sz10 = xp
    | ~ aNaturalNumber0(sdtasdt0(xm,xm))
    | ~ spl4_51
    | ~ spl4_54 ),
    inference(subsumption_resolution,[],[f4414,f825]) ).

fof(f825,plain,
    ( sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
    | ~ spl4_54 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f823,plain,
    ( spl4_54
  <=> sdtasdt0(xm,xm) = sdtasdt0(xn,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_54])]) ).

fof(f4414,plain,
    ( sdtasdt0(xm,xm) != sdtasdt0(xn,xn)
    | ~ aNaturalNumber0(sz10)
    | sz10 = xp
    | ~ aNaturalNumber0(sdtasdt0(xm,xm))
    | ~ spl4_51 ),
    inference(superposition,[],[f787,f211]) ).

fof(f211,plain,
    ! [X0] :
      ( sdtasdt0(sz10,X0) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TQpOHSlENE/Vampire---4.8_8540',m_MulUnit) ).

fof(f787,plain,
    ( ! [X0] :
        ( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xm,xm))
        | ~ aNaturalNumber0(X0)
        | xp = X0 )
    | ~ spl4_51 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f786,plain,
    ( spl4_51
  <=> ! [X0] :
        ( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xm,xm))
        | ~ aNaturalNumber0(X0)
        | xp = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_51])]) ).

fof(f4209,plain,
    ( spl4_53
    | ~ spl4_36
    | ~ spl4_49 ),
    inference(avatar_split_clause,[],[f2639,f776,f722,f819]) ).

fof(f819,plain,
    ( spl4_53
  <=> sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_53])]) ).

fof(f776,plain,
    ( spl4_49
  <=> sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xm,xm),xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_49])]) ).

fof(f2639,plain,
    ( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
    | ~ spl4_36
    | ~ spl4_49 ),
    inference(subsumption_resolution,[],[f2638,f143]) ).

fof(f143,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    ( sz00 != xp
    & sz00 != xm
    & sz00 != xn
    & aNaturalNumber0(xp)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox2/tmp/tmp.TQpOHSlENE/Vampire---4.8_8540',m__2987) ).

fof(f2638,plain,
    ( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
    | ~ aNaturalNumber0(xp)
    | ~ spl4_36
    | ~ spl4_49 ),
    inference(subsumption_resolution,[],[f2637,f723]) ).

fof(f2637,plain,
    ( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
    | ~ aNaturalNumber0(sdtasdt0(xm,xm))
    | ~ aNaturalNumber0(xp)
    | ~ spl4_49 ),
    inference(subsumption_resolution,[],[f2468,f146]) ).

fof(f146,plain,
    sz00 != xp,
    inference(cnf_transformation,[],[f40]) ).

fof(f2468,plain,
    ( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
    | sz00 = xp
    | ~ aNaturalNumber0(sdtasdt0(xm,xm))
    | ~ aNaturalNumber0(xp)
    | ~ spl4_49 ),
    inference(superposition,[],[f188,f778]) ).

fof(f778,plain,
    ( sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xm,xm),xp)
    | ~ spl4_49 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sz00 != X0
       => sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TQpOHSlENE/Vampire---4.8_8540',mMonMul2) ).

fof(f4129,plain,
    ( spl4_7
    | ~ spl4_8
    | ~ spl4_11 ),
    inference(avatar_contradiction_clause,[],[f4128]) ).

fof(f4128,plain,
    ( $false
    | spl4_7
    | ~ spl4_8
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f4127,f310]) ).

fof(f310,plain,
    ( aNaturalNumber0(sdtasdt0(xn,xn))
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f309,plain,
    ( spl4_8
  <=> aNaturalNumber0(sdtasdt0(xn,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f4127,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xn,xn))
    | spl4_7
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f4126,f286]) ).

fof(f4126,plain,
    ( sz10 = xp
    | ~ aNaturalNumber0(sdtasdt0(xn,xn))
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f4117,f212]) ).

fof(f4117,plain,
    ( ~ aNaturalNumber0(sz10)
    | sz10 = xp
    | ~ aNaturalNumber0(sdtasdt0(xn,xn))
    | ~ spl4_11 ),
    inference(trivial_inequality_removal,[],[f4114]) ).

fof(f4114,plain,
    ( sdtasdt0(xn,xn) != sdtasdt0(xn,xn)
    | ~ aNaturalNumber0(sz10)
    | sz10 = xp
    | ~ aNaturalNumber0(sdtasdt0(xn,xn))
    | ~ spl4_11 ),
    inference(superposition,[],[f380,f211]) ).

fof(f380,plain,
    ( ! [X0] :
        ( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xn,xn))
        | ~ aNaturalNumber0(X0)
        | xp = X0 )
    | ~ spl4_11 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f379,plain,
    ( spl4_11
  <=> ! [X0] :
        ( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xn,xn))
        | ~ aNaturalNumber0(X0)
        | xp = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).

fof(f1791,plain,
    ~ spl4_38,
    inference(avatar_contradiction_clause,[],[f1790]) ).

fof(f1790,plain,
    ( $false
    | ~ spl4_38 ),
    inference(subsumption_resolution,[],[f1789,f142]) ).

fof(f142,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f40]) ).

fof(f1789,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ spl4_38 ),
    inference(subsumption_resolution,[],[f1764,f145]) ).

fof(f145,plain,
    sz00 != xm,
    inference(cnf_transformation,[],[f40]) ).

fof(f1764,plain,
    ( sz00 = xm
    | ~ aNaturalNumber0(xm)
    | ~ spl4_38 ),
    inference(trivial_inequality_removal,[],[f1763]) ).

fof(f1763,plain,
    ( sz00 != sz00
    | sz00 = xm
    | ~ aNaturalNumber0(xm)
    | ~ spl4_38 ),
    inference(duplicate_literal_removal,[],[f1724]) ).

fof(f1724,plain,
    ( sz00 != sz00
    | sz00 = xm
    | sz00 = xm
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xm)
    | ~ spl4_38 ),
    inference(superposition,[],[f156,f733]) ).

fof(f733,plain,
    ( sz00 = sdtasdt0(xm,xm)
    | ~ spl4_38 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f731,plain,
    ( spl4_38
  <=> sz00 = sdtasdt0(xm,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_38])]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( sz00 != sdtasdt0(X0,X1)
      | sz00 = X0
      | sz00 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( sz00 = X1
      | sz00 = X0
      | sz00 != sdtasdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( sz00 = X1
      | sz00 = X0
      | sz00 != sdtasdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sz00 = sdtasdt0(X0,X1)
       => ( sz00 = X1
          | sz00 = X0 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TQpOHSlENE/Vampire---4.8_8540',mZeroMul) ).

fof(f1513,plain,
    ~ spl4_7,
    inference(avatar_contradiction_clause,[],[f1512]) ).

fof(f1512,plain,
    ( $false
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f1510,f212]) ).

fof(f1510,plain,
    ( ~ aNaturalNumber0(sz10)
    | ~ spl4_7 ),
    inference(resolution,[],[f1475,f225]) ).

fof(f225,plain,
    ( ~ isPrime0(sz10)
    | ~ aNaturalNumber0(sz10) ),
    inference(equality_resolution,[],[f171]) ).

fof(f171,plain,
    ! [X0] :
      ( sz10 != X0
      | ~ isPrime0(X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ! [X0] :
      ( ( ( isPrime0(X0)
          | ( sK1(X0) != X0
            & sz10 != sK1(X0)
            & doDivides0(sK1(X0),X0)
            & aNaturalNumber0(sK1(X0)) )
          | sz10 = X0
          | sz00 = X0 )
        & ( ( ! [X2] :
                ( X0 = X2
                | sz10 = X2
                | ~ doDivides0(X2,X0)
                | ~ aNaturalNumber0(X2) )
            & sz10 != X0
            & sz00 != X0 )
          | ~ isPrime0(X0) ) )
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f126,f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ? [X1] :
          ( X0 != X1
          & sz10 != X1
          & doDivides0(X1,X0)
          & aNaturalNumber0(X1) )
     => ( sK1(X0) != X0
        & sz10 != sK1(X0)
        & doDivides0(sK1(X0),X0)
        & aNaturalNumber0(sK1(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f126,plain,
    ! [X0] :
      ( ( ( isPrime0(X0)
          | ? [X1] :
              ( X0 != X1
              & sz10 != X1
              & doDivides0(X1,X0)
              & aNaturalNumber0(X1) )
          | sz10 = X0
          | sz00 = X0 )
        & ( ( ! [X2] :
                ( X0 = X2
                | sz10 = X2
                | ~ doDivides0(X2,X0)
                | ~ aNaturalNumber0(X2) )
            & sz10 != X0
            & sz00 != X0 )
          | ~ isPrime0(X0) ) )
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ( ( isPrime0(X0)
          | ? [X1] :
              ( X0 != X1
              & sz10 != X1
              & doDivides0(X1,X0)
              & aNaturalNumber0(X1) )
          | sz10 = X0
          | sz00 = X0 )
        & ( ( ! [X1] :
                ( X0 = X1
                | sz10 = X1
                | ~ doDivides0(X1,X0)
                | ~ aNaturalNumber0(X1) )
            & sz10 != X0
            & sz00 != X0 )
          | ~ isPrime0(X0) ) )
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ( ( isPrime0(X0)
          | ? [X1] :
              ( X0 != X1
              & sz10 != X1
              & doDivides0(X1,X0)
              & aNaturalNumber0(X1) )
          | sz10 = X0
          | sz00 = X0 )
        & ( ( ! [X1] :
                ( X0 = X1
                | sz10 = X1
                | ~ doDivides0(X1,X0)
                | ~ aNaturalNumber0(X1) )
            & sz10 != X0
            & sz00 != X0 )
          | ~ isPrime0(X0) ) )
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( ( isPrime0(X0)
      <=> ( ! [X1] :
              ( X0 = X1
              | sz10 = X1
              | ~ doDivides0(X1,X0)
              | ~ aNaturalNumber0(X1) )
          & sz10 != X0
          & sz00 != X0 ) )
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( ( isPrime0(X0)
      <=> ( ! [X1] :
              ( X0 = X1
              | sz10 = X1
              | ~ doDivides0(X1,X0)
              | ~ aNaturalNumber0(X1) )
          & sz10 != X0
          & sz00 != X0 ) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( isPrime0(X0)
      <=> ( ! [X1] :
              ( ( doDivides0(X1,X0)
                & aNaturalNumber0(X1) )
             => ( X0 = X1
                | sz10 = X1 ) )
          & sz10 != X0
          & sz00 != X0 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TQpOHSlENE/Vampire---4.8_8540',mDefPrime) ).

fof(f1475,plain,
    ( isPrime0(sz10)
    | ~ spl4_7 ),
    inference(superposition,[],[f149,f287]) ).

fof(f287,plain,
    ( sz10 = xp
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f149,plain,
    isPrime0(xp),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    isPrime0(xp),
    file('/export/starexec/sandbox2/tmp/tmp.TQpOHSlENE/Vampire---4.8_8540',m__3025) ).

fof(f826,plain,
    ( ~ spl4_36
    | ~ spl4_53
    | spl4_54
    | ~ spl4_2
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f817,f309,f244,f823,f819,f722]) ).

fof(f244,plain,
    ( spl4_2
  <=> sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f817,plain,
    ( sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
    | ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
    | ~ aNaturalNumber0(sdtasdt0(xm,xm))
    | ~ spl4_2
    | ~ spl4_8 ),
    inference(subsumption_resolution,[],[f810,f310]) ).

fof(f810,plain,
    ( sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
    | ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
    | ~ aNaturalNumber0(sdtasdt0(xn,xn))
    | ~ aNaturalNumber0(sdtasdt0(xm,xm))
    | ~ spl4_2 ),
    inference(resolution,[],[f246,f202]) ).

fof(f202,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(X1,X0)
      | X0 = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f101]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & sdtlseqdt0(X0,X1) )
       => X0 = X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TQpOHSlENE/Vampire---4.8_8540',mLEAsym) ).

fof(f246,plain,
    ( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f816,plain,
    spl4_36,
    inference(avatar_contradiction_clause,[],[f815]) ).

fof(f815,plain,
    ( $false
    | spl4_36 ),
    inference(subsumption_resolution,[],[f813,f142]) ).

fof(f813,plain,
    ( ~ aNaturalNumber0(xm)
    | spl4_36 ),
    inference(duplicate_literal_removal,[],[f812]) ).

fof(f812,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xm)
    | spl4_36 ),
    inference(resolution,[],[f724,f165]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.TQpOHSlENE/Vampire---4.8_8540',mSortsB_02) ).

fof(f724,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xm,xm))
    | spl4_36 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f797,plain,
    ( ~ spl4_36
    | spl4_49 ),
    inference(avatar_split_clause,[],[f356,f776,f722]) ).

fof(f356,plain,
    ( sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xm,xm),xp)
    | ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
    inference(subsumption_resolution,[],[f332,f143]) ).

fof(f332,plain,
    ( sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xm,xm),xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
    inference(superposition,[],[f148,f164]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.TQpOHSlENE/Vampire---4.8_8540',mMulComm) ).

fof(f148,plain,
    sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
    file('/export/starexec/sandbox2/tmp/tmp.TQpOHSlENE/Vampire---4.8_8540',m__3014) ).

fof(f795,plain,
    ( ~ spl4_36
    | spl4_38
    | ~ spl4_12 ),
    inference(avatar_split_clause,[],[f363,f382,f731,f722]) ).

fof(f382,plain,
    ( spl4_12
  <=> sz00 = sdtasdt0(xn,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).

fof(f363,plain,
    ( sz00 != sdtasdt0(xn,xn)
    | sz00 = sdtasdt0(xm,xm)
    | ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
    inference(subsumption_resolution,[],[f362,f143]) ).

fof(f362,plain,
    ( sz00 != sdtasdt0(xn,xn)
    | sz00 = sdtasdt0(xm,xm)
    | ~ aNaturalNumber0(sdtasdt0(xm,xm))
    | ~ aNaturalNumber0(xp) ),
    inference(subsumption_resolution,[],[f334,f146]) ).

fof(f334,plain,
    ( sz00 != sdtasdt0(xn,xn)
    | sz00 = xp
    | sz00 = sdtasdt0(xm,xm)
    | ~ aNaturalNumber0(sdtasdt0(xm,xm))
    | ~ aNaturalNumber0(xp) ),
    inference(superposition,[],[f156,f148]) ).

fof(f789,plain,
    ( ~ spl4_36
    | spl4_38
    | spl4_51 ),
    inference(avatar_split_clause,[],[f373,f786,f731,f722]) ).

fof(f373,plain,
    ! [X0] :
      ( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xm,xm))
      | xp = X0
      | ~ aNaturalNumber0(X0)
      | sz00 = sdtasdt0(xm,xm)
      | ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
    inference(subsumption_resolution,[],[f337,f143]) ).

fof(f337,plain,
    ! [X0] :
      ( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xm,xm))
      | xp = X0
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(xp)
      | sz00 = sdtasdt0(xm,xm)
      | ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
    inference(superposition,[],[f158,f148]) ).

fof(f158,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
      | X1 = X2
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
            & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
          | ~ aNaturalNumber0(X2)
          | ~ aNaturalNumber0(X1) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
            & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
          | ~ aNaturalNumber0(X2)
          | ~ aNaturalNumber0(X1) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 != X0
       => ! [X1,X2] :
            ( ( aNaturalNumber0(X2)
              & aNaturalNumber0(X1) )
           => ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
                | sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
             => X1 = X2 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TQpOHSlENE/Vampire---4.8_8540',mMulCanc) ).

fof(f391,plain,
    ( spl4_11
    | spl4_12
    | ~ spl4_3
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f390,f309,f249,f382,f379]) ).

fof(f249,plain,
    ( spl4_3
  <=> xn = xm ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f390,plain,
    ( ! [X0] :
        ( sz00 = sdtasdt0(xn,xn)
        | sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xn,xn))
        | xp = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl4_3
    | ~ spl4_8 ),
    inference(subsumption_resolution,[],[f389,f310]) ).

fof(f389,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(sdtasdt0(xn,xn))
        | sz00 = sdtasdt0(xn,xn)
        | sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xn,xn))
        | xp = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl4_3 ),
    inference(forward_demodulation,[],[f388,f251]) ).

fof(f251,plain,
    ( xn = xm
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f388,plain,
    ( ! [X0] :
        ( sz00 = sdtasdt0(xn,xn)
        | sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xn,xn))
        | xp = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtasdt0(xm,xm)) )
    | ~ spl4_3 ),
    inference(forward_demodulation,[],[f387,f251]) ).

fof(f387,plain,
    ( ! [X0] :
        ( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xn,xn))
        | xp = X0
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(xm,xm)
        | ~ aNaturalNumber0(sdtasdt0(xm,xm)) )
    | ~ spl4_3 ),
    inference(forward_demodulation,[],[f386,f251]) ).

fof(f386,plain,
    ! [X0] :
      ( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xm,xm))
      | xp = X0
      | ~ aNaturalNumber0(X0)
      | sz00 = sdtasdt0(xm,xm)
      | ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
    inference(subsumption_resolution,[],[f338,f143]) ).

fof(f338,plain,
    ! [X0] :
      ( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xm,xm))
      | xp = X0
      | ~ aNaturalNumber0(xp)
      | ~ aNaturalNumber0(X0)
      | sz00 = sdtasdt0(xm,xm)
      | ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
    inference(superposition,[],[f158,f148]) ).

fof(f328,plain,
    spl4_8,
    inference(avatar_contradiction_clause,[],[f327]) ).

fof(f327,plain,
    ( $false
    | spl4_8 ),
    inference(subsumption_resolution,[],[f325,f141]) ).

fof(f141,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f40]) ).

fof(f325,plain,
    ( ~ aNaturalNumber0(xn)
    | spl4_8 ),
    inference(duplicate_literal_removal,[],[f324]) ).

fof(f324,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xn)
    | spl4_8 ),
    inference(resolution,[],[f311,f165]) ).

fof(f311,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xn,xn))
    | spl4_8 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f265,plain,
    ( spl4_1
    | spl4_4 ),
    inference(avatar_contradiction_clause,[],[f264]) ).

fof(f264,plain,
    ( $false
    | spl4_1
    | spl4_4 ),
    inference(subsumption_resolution,[],[f263,f141]) ).

fof(f263,plain,
    ( ~ aNaturalNumber0(xn)
    | spl4_1
    | spl4_4 ),
    inference(subsumption_resolution,[],[f262,f142]) ).

fof(f262,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | spl4_1
    | spl4_4 ),
    inference(subsumption_resolution,[],[f258,f242]) ).

fof(f242,plain,
    ( ~ sdtlseqdt0(xn,xm)
    | spl4_1 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f240,plain,
    ( spl4_1
  <=> sdtlseqdt0(xn,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f258,plain,
    ( sdtlseqdt0(xn,xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | spl4_4 ),
    inference(resolution,[],[f255,f200]) ).

fof(f200,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X1,X0)
        & X0 != X1 )
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X1,X0)
        & X0 != X1 )
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & X0 != X1 )
        | sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TQpOHSlENE/Vampire---4.8_8540',mLETotal) ).

fof(f255,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | spl4_4 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f253,plain,
    ( spl4_4
  <=> sdtlseqdt0(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f256,plain,
    ( spl4_3
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f155,f253,f249]) ).

fof(f155,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | xn = xm ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | xn = xm ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,negated_conjecture,
    ~ ( sdtlseqdt0(xm,xn)
      & xn != xm ),
    inference(negated_conjecture,[],[f48]) ).

fof(f48,conjecture,
    ( sdtlseqdt0(xm,xn)
    & xn != xm ),
    file('/export/starexec/sandbox2/tmp/tmp.TQpOHSlENE/Vampire---4.8_8540',m__) ).

fof(f247,plain,
    ( ~ spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f154,f244,f240]) ).

fof(f154,plain,
    ( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
    | ~ sdtlseqdt0(xn,xm) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
    | ~ sdtlseqdt0(xn,xm) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,axiom,
    ( sdtlseqdt0(xn,xm)
   => sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
    file('/export/starexec/sandbox2/tmp/tmp.TQpOHSlENE/Vampire---4.8_8540',m__3152) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM528+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14  % 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
% 0.14/0.35  % Computer : n008.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 14:36:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_CAX_RFO_SEQ problem
% 0.14/0.36  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.TQpOHSlENE/Vampire---4.8_8540
% 0.57/0.74  % (8654)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)
% 0.57/0.74  % (8648)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)
% 0.57/0.74  % (8651)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)
% 0.57/0.74  % (8652)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)
% 0.57/0.74  % (8649)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)
% 0.57/0.74  % (8653)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)
% 0.57/0.74  % (8655)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)
% 0.57/0.75  % (8650)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (8651)Instruction limit reached!
% 0.57/0.75  % (8651)------------------------------
% 0.57/0.75  % (8651)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (8652)Instruction limit reached!
% 0.57/0.75  % (8652)------------------------------
% 0.57/0.75  % (8652)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (8651)Termination reason: Unknown
% 0.57/0.75  % (8651)Termination phase: Saturation
% 0.57/0.75  
% 0.57/0.75  % (8651)Memory used [KB]: 1425
% 0.57/0.75  % (8651)Time elapsed: 0.019 s
% 0.57/0.75  % (8651)Instructions burned: 33 (million)
% 0.57/0.75  % (8651)------------------------------
% 0.57/0.75  % (8651)------------------------------
% 0.57/0.75  % (8652)Termination reason: Unknown
% 0.57/0.75  % (8652)Termination phase: Saturation
% 0.57/0.75  
% 0.57/0.75  % (8652)Memory used [KB]: 1482
% 0.57/0.75  % (8652)Time elapsed: 0.019 s
% 0.57/0.75  % (8652)Instructions burned: 34 (million)
% 0.57/0.75  % (8652)------------------------------
% 0.57/0.75  % (8652)------------------------------
% 0.57/0.76  % (8648)Instruction limit reached!
% 0.57/0.76  % (8648)------------------------------
% 0.57/0.76  % (8648)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (8648)Termination reason: Unknown
% 0.57/0.76  % (8648)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (8648)Memory used [KB]: 1350
% 0.57/0.76  % (8648)Time elapsed: 0.021 s
% 0.57/0.76  % (8648)Instructions burned: 35 (million)
% 0.57/0.76  % (8648)------------------------------
% 0.57/0.76  % (8648)------------------------------
% 0.57/0.76  % (8654)Instruction limit reached!
% 0.57/0.76  % (8654)------------------------------
% 0.57/0.76  % (8654)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (8654)Termination reason: Unknown
% 0.57/0.76  % (8654)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (8654)Memory used [KB]: 1911
% 0.57/0.76  % (8654)Time elapsed: 0.023 s
% 0.57/0.76  % (8654)Instructions burned: 84 (million)
% 0.57/0.76  % (8654)------------------------------
% 0.57/0.76  % (8654)------------------------------
% 0.57/0.76  % (8656)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)
% 0.57/0.76  % (8658)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)
% 0.66/0.76  % (8657)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)
% 0.66/0.76  % (8653)Instruction limit reached!
% 0.66/0.76  % (8653)------------------------------
% 0.66/0.76  % (8653)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.76  % (8653)Termination reason: Unknown
% 0.66/0.76  % (8653)Termination phase: Saturation
% 0.66/0.76  
% 0.66/0.76  % (8653)Memory used [KB]: 1582
% 0.66/0.76  % (8653)Time elapsed: 0.026 s
% 0.66/0.76  % (8653)Instructions burned: 46 (million)
% 0.66/0.76  % (8653)------------------------------
% 0.66/0.76  % (8653)------------------------------
% 0.66/0.76  % (8660)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)
% 0.66/0.77  % (8659)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)
% 0.66/0.77  % (8649)Instruction limit reached!
% 0.66/0.77  % (8649)------------------------------
% 0.66/0.77  % (8649)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.77  % (8649)Termination reason: Unknown
% 0.66/0.77  % (8649)Termination phase: Saturation
% 0.66/0.77  
% 0.66/0.77  % (8649)Memory used [KB]: 1878
% 0.66/0.77  % (8649)Time elapsed: 0.035 s
% 0.66/0.77  % (8649)Instructions burned: 51 (million)
% 0.66/0.77  % (8649)------------------------------
% 0.66/0.77  % (8649)------------------------------
% 0.66/0.77  % (8661)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)
% 0.66/0.78  % (8655)Instruction limit reached!
% 0.66/0.78  % (8655)------------------------------
% 0.66/0.78  % (8655)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.78  % (8655)Termination reason: Unknown
% 0.66/0.78  % (8655)Termination phase: Saturation
% 0.66/0.78  
% 0.66/0.78  % (8655)Memory used [KB]: 1789
% 0.66/0.78  % (8655)Time elapsed: 0.033 s
% 0.66/0.78  % (8655)Instructions burned: 56 (million)
% 0.66/0.78  % (8655)------------------------------
% 0.66/0.78  % (8655)------------------------------
% 0.66/0.78  % (8662)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)
% 0.66/0.79  % (8657)Instruction limit reached!
% 0.66/0.79  % (8657)------------------------------
% 0.66/0.79  % (8657)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.79  % (8657)Termination reason: Unknown
% 0.66/0.79  % (8657)Termination phase: Saturation
% 0.66/0.79  
% 0.66/0.79  % (8657)Memory used [KB]: 1559
% 0.66/0.79  % (8657)Time elapsed: 0.027 s
% 0.66/0.79  % (8657)Instructions burned: 51 (million)
% 0.66/0.79  % (8657)------------------------------
% 0.66/0.79  % (8657)------------------------------
% 0.66/0.79  % (8656)Instruction limit reached!
% 0.66/0.79  % (8656)------------------------------
% 0.66/0.79  % (8656)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.79  % (8656)Termination reason: Unknown
% 0.66/0.79  % (8656)Termination phase: Saturation
% 0.66/0.79  
% 0.66/0.79  % (8656)Memory used [KB]: 1980
% 0.66/0.79  % (8656)Time elapsed: 0.030 s
% 0.66/0.79  % (8656)Instructions burned: 55 (million)
% 0.66/0.79  % (8656)------------------------------
% 0.66/0.79  % (8656)------------------------------
% 0.66/0.79  % (8663)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)
% 0.66/0.79  % (8664)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)
% 0.66/0.79  % (8650)Instruction limit reached!
% 0.66/0.79  % (8650)------------------------------
% 0.66/0.79  % (8650)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.79  % (8650)Termination reason: Unknown
% 0.66/0.79  % (8650)Termination phase: Saturation
% 0.66/0.79  
% 0.66/0.79  % (8650)Memory used [KB]: 1788
% 0.66/0.79  % (8650)Time elapsed: 0.046 s
% 0.66/0.79  % (8650)Instructions burned: 78 (million)
% 0.66/0.79  % (8650)------------------------------
% 0.66/0.79  % (8650)------------------------------
% 0.66/0.80  % (8661)Instruction limit reached!
% 0.66/0.80  % (8661)------------------------------
% 0.66/0.80  % (8661)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.80  % (8661)Termination reason: Unknown
% 0.66/0.80  % (8661)Termination phase: Saturation
% 0.66/0.80  
% 0.66/0.80  % (8661)Memory used [KB]: 1442
% 0.66/0.80  % (8661)Time elapsed: 0.022 s
% 0.66/0.80  % (8661)Instructions burned: 42 (million)
% 0.66/0.80  % (8661)------------------------------
% 0.66/0.80  % (8661)------------------------------
% 0.66/0.80  % (8659)Instruction limit reached!
% 0.66/0.80  % (8659)------------------------------
% 0.66/0.80  % (8659)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.80  % (8659)Termination reason: Unknown
% 0.66/0.80  % (8659)Termination phase: Saturation
% 0.66/0.80  
% 0.66/0.80  % (8659)Memory used [KB]: 1618
% 0.66/0.80  % (8659)Time elapsed: 0.056 s
% 0.66/0.80  % (8659)Instructions burned: 53 (million)
% 0.66/0.80  % (8659)------------------------------
% 0.66/0.80  % (8659)------------------------------
% 0.66/0.80  % (8665)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)
% 0.66/0.80  % (8666)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)
% 0.66/0.80  % (8667)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)
% 0.66/0.82  % (8667)Instruction limit reached!
% 0.66/0.82  % (8667)------------------------------
% 0.66/0.82  % (8667)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.82  % (8667)Termination reason: Unknown
% 0.66/0.82  % (8667)Termination phase: Saturation
% 0.66/0.82  
% 0.66/0.82  % (8667)Memory used [KB]: 1573
% 0.66/0.83  % (8667)Time elapsed: 0.025 s
% 0.66/0.83  % (8667)Instructions burned: 32 (million)
% 0.66/0.83  % (8667)------------------------------
% 0.66/0.83  % (8667)------------------------------
% 0.95/0.83  % (8668)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)
% 0.95/0.83  % (8666)Instruction limit reached!
% 0.95/0.83  % (8666)------------------------------
% 0.95/0.83  % (8666)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.83  % (8666)Termination reason: Unknown
% 0.95/0.83  % (8666)Termination phase: Saturation
% 0.95/0.83  
% 0.95/0.83  % (8666)Memory used [KB]: 2042
% 0.95/0.83  % (8666)Time elapsed: 0.034 s
% 0.95/0.83  % (8666)Instructions burned: 62 (million)
% 0.95/0.83  % (8666)------------------------------
% 0.95/0.83  % (8666)------------------------------
% 0.95/0.84  % (8669)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 (2995ds/55Mi)
% 0.95/0.84  % (8658)Instruction limit reached!
% 0.95/0.84  % (8658)------------------------------
% 0.95/0.84  % (8658)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.84  % (8658)Termination reason: Unknown
% 0.95/0.84  % (8658)Termination phase: Saturation
% 0.95/0.84  
% 0.95/0.84  % (8658)Memory used [KB]: 2586
% 0.95/0.84  % (8658)Time elapsed: 0.078 s
% 0.95/0.84  % (8658)Instructions burned: 209 (million)
% 0.95/0.84  % (8658)------------------------------
% 0.95/0.84  % (8658)------------------------------
% 0.95/0.84  % (8670)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 (2995ds/53Mi)
% 0.95/0.85  % (8670)Instruction limit reached!
% 0.95/0.85  % (8670)------------------------------
% 0.95/0.85  % (8670)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.85  % (8670)Termination reason: Unknown
% 0.95/0.85  % (8670)Termination phase: Saturation
% 0.95/0.85  
% 0.95/0.85  % (8670)Memory used [KB]: 1557
% 0.95/0.85  % (8670)Time elapsed: 0.015 s
% 0.95/0.85  % (8670)Instructions burned: 54 (million)
% 0.95/0.85  % (8670)------------------------------
% 0.95/0.85  % (8670)------------------------------
% 0.95/0.85  % (8660)First to succeed.
% 0.95/0.85  % (8660)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8647"
% 0.95/0.85  % (8671)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 (2995ds/46Mi)
% 0.95/0.85  % (8660)Refutation found. Thanks to Tanya!
% 0.95/0.85  % SZS status Theorem for Vampire---4
% 0.95/0.85  % SZS output start Proof for Vampire---4
% See solution above
% 0.95/0.86  % (8660)------------------------------
% 0.95/0.86  % (8660)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.86  % (8660)Termination reason: Refutation
% 0.95/0.86  
% 0.95/0.86  % (8660)Memory used [KB]: 2878
% 0.95/0.86  % (8660)Time elapsed: 0.090 s
% 0.95/0.86  % (8660)Instructions burned: 312 (million)
% 0.95/0.86  % (8647)Success in time 0.495 s
% 0.95/0.86  % Vampire---4.8 exiting
%------------------------------------------------------------------------------