TSTP Solution File: COM126+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COM126+1 : TPTP v8.1.2. Released v6.4.0.
% 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 : n005.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 02:13:54 EDT 2024

% Result   : Theorem 0.72s 0.91s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  136 (  14 unt;   0 def)
%            Number of atoms       :  420 ( 114 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  431 ( 147   ~; 159   |;  86   &)
%                                         (  14 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  15 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;   6 con; 0-3 aty)
%            Number of variables   :  326 ( 251   !;  75   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f800,plain,
    $false,
    inference(avatar_sat_refutation,[],[f231,f236,f241,f253,f259,f323,f331,f336,f341,f438,f457,f530,f543,f751,f794]) ).

fof(f794,plain,
    ~ spl15_8,
    inference(avatar_contradiction_clause,[],[f793]) ).

fof(f793,plain,
    ( $false
    | ~ spl15_8 ),
    inference(subsumption_resolution,[],[f786,f159]) ).

fof(f159,plain,
    ! [X2,X3,X0,X1,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1,X2,X3,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X2,X3,X5,X6] : vabs(X0,X2,X3) != vapp(X5,X6),
    file('/export/starexec/sandbox/tmp/tmp.bdfjdpPVpe/Vampire---4.8_11820','DIFF-abs-app') ).

fof(f786,plain,
    ( vapp(ve1app,ve2app) = vabs(sK9(sK4,sK5,vapp(ve1app,ve2app)),sK11(sK4,sK5,vapp(ve1app,ve2app)),sK10(sK4,sK5,vapp(ve1app,ve2app)))
    | ~ spl15_8 ),
    inference(resolution,[],[f322,f168]) ).

fof(f168,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X0,X1,X2)
      | vabs(sK9(X0,X1,X2),sK11(X0,X1,X2),sK10(X0,X1,X2)) = X2 ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X0,X1,X2] :
      ( ( vtcheck(vbind(sK9(X0,X1,X2),sK11(X0,X1,X2),X0),sK10(X0,X1,X2),sK12(X0,X1,X2))
        & varrow(sK11(X0,X1,X2),sK12(X0,X1,X2)) = X1
        & vabs(sK9(X0,X1,X2),sK11(X0,X1,X2),sK10(X0,X1,X2)) = X2 )
      | ~ sP0(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f139,f140]) ).

fof(f140,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5,X6] :
          ( vtcheck(vbind(X3,X5,X0),X4,X6)
          & varrow(X5,X6) = X1
          & vabs(X3,X5,X4) = X2 )
     => ( vtcheck(vbind(sK9(X0,X1,X2),sK11(X0,X1,X2),X0),sK10(X0,X1,X2),sK12(X0,X1,X2))
        & varrow(sK11(X0,X1,X2),sK12(X0,X1,X2)) = X1
        & vabs(sK9(X0,X1,X2),sK11(X0,X1,X2),sK10(X0,X1,X2)) = X2 ) ),
    introduced(choice_axiom,[]) ).

fof(f139,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5,X6] :
          ( vtcheck(vbind(X3,X5,X0),X4,X6)
          & varrow(X5,X6) = X1
          & vabs(X3,X5,X4) = X2 )
      | ~ sP0(X0,X1,X2) ),
    inference(rectify,[],[f138]) ).

fof(f138,plain,
    ! [X2,X1,X0] :
      ( ? [X6,X7,X8,X9] :
          ( vtcheck(vbind(X6,X8,X2),X7,X9)
          & varrow(X8,X9) = X1
          & vabs(X6,X8,X7) = X0 )
      | ~ sP0(X2,X1,X0) ),
    inference(nnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X2,X1,X0] :
      ( ? [X6,X7,X8,X9] :
          ( vtcheck(vbind(X6,X8,X2),X7,X9)
          & varrow(X8,X9) = X1
          & vabs(X6,X8,X7) = X0 )
      | ~ sP0(X2,X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f322,plain,
    ( sP0(sK4,sK5,vapp(ve1app,ve2app))
    | ~ spl15_8 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f320,plain,
    ( spl15_8
  <=> sP0(sK4,sK5,vapp(ve1app,ve2app)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).

fof(f751,plain,
    ( spl15_1
    | spl15_5
    | spl15_6
    | ~ spl15_27
    | ~ spl15_36 ),
    inference(avatar_contradiction_clause,[],[f746]) ).

fof(f746,plain,
    ( $false
    | spl15_1
    | spl15_5
    | spl15_6
    | ~ spl15_27
    | ~ spl15_36 ),
    inference(resolution,[],[f739,f230]) ).

fof(f230,plain,
    ( ~ vtcheck(vbind(sK2,sK3,sK4),vapp(ve1app,ve2app),sK5)
    | spl15_1 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f228,plain,
    ( spl15_1
  <=> vtcheck(vbind(sK2,sK3,sK4),vapp(ve1app,ve2app),sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f739,plain,
    ( ! [X0] : vtcheck(vbind(sK2,X0,sK4),vapp(ve1app,ve2app),sK5)
    | spl15_5
    | spl15_6
    | ~ spl15_27
    | ~ spl15_36 ),
    inference(resolution,[],[f597,f588]) ).

fof(f588,plain,
    ( ! [X0] : vtcheck(vbind(sK2,X0,sK4),ve2app,sK8(sK4,sK5,vapp(ve1app,ve2app)))
    | spl15_5
    | ~ spl15_36 ),
    inference(resolution,[],[f544,f252]) ).

fof(f252,plain,
    ( ~ visFreeVar(sK2,ve2app)
    | spl15_5 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl15_5
  <=> visFreeVar(sK2,ve2app) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).

fof(f544,plain,
    ( ! [X0,X1] :
        ( visFreeVar(X0,ve2app)
        | vtcheck(vbind(X0,X1,sK4),ve2app,sK8(sK4,sK5,vapp(ve1app,ve2app))) )
    | ~ spl15_36 ),
    inference(resolution,[],[f542,f185]) ).

fof(f185,plain,
    ! [X2,X3,X0,X1] :
      ( ~ vtcheck(X2,ve2app,X3)
      | vtcheck(vbind(X0,X1,X2),ve2app,X3)
      | visFreeVar(X0,ve2app) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ! [X0,X1,X2,X3] :
      ( vtcheck(vbind(X0,X1,X2),ve2app,X3)
      | ~ vtcheck(X2,ve2app,X3)
      | visFreeVar(X0,ve2app) ),
    inference(flattening,[],[f127]) ).

fof(f127,plain,
    ! [X0,X1,X2,X3] :
      ( vtcheck(vbind(X0,X1,X2),ve2app,X3)
      | ~ vtcheck(X2,ve2app,X3)
      | visFreeVar(X0,ve2app) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1,X2,X3] :
      ( ( vtcheck(X2,ve2app,X3)
        & ~ visFreeVar(X0,ve2app) )
     => vtcheck(vbind(X0,X1,X2),ve2app,X3) ),
    inference(rectify,[],[f58]) ).

fof(f58,axiom,
    ! [X8,X9,X19,X14] :
      ( ( vtcheck(X19,ve2app,X14)
        & ~ visFreeVar(X8,ve2app) )
     => vtcheck(vbind(X8,X9,X19),ve2app,X14) ),
    file('/export/starexec/sandbox/tmp/tmp.bdfjdpPVpe/Vampire---4.8_11820','T-Weak-FreeVar-app-IH2') ).

fof(f542,plain,
    ( vtcheck(sK4,ve2app,sK8(sK4,sK5,vapp(ve1app,ve2app)))
    | ~ spl15_36 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f540,plain,
    ( spl15_36
  <=> vtcheck(sK4,ve2app,sK8(sK4,sK5,vapp(ve1app,ve2app))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_36])]) ).

fof(f597,plain,
    ( ! [X0,X1] :
        ( ~ vtcheck(vbind(sK2,X0,sK4),X1,sK8(sK4,sK5,vapp(ve1app,ve2app)))
        | vtcheck(vbind(sK2,X0,sK4),vapp(ve1app,X1),sK5) )
    | spl15_6
    | ~ spl15_27 ),
    inference(resolution,[],[f595,f173]) ).

fof(f173,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ vtcheck(X1,X2,varrow(X0,X4))
      | ~ vtcheck(X1,X3,X0)
      | vtcheck(X1,vapp(X2,X3),X4) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0,X1,X2,X3,X4] :
      ( vtcheck(X1,vapp(X2,X3),X4)
      | ~ vtcheck(X1,X3,X0)
      | ~ vtcheck(X1,X2,varrow(X0,X4)) ),
    inference(flattening,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1,X2,X3,X4] :
      ( vtcheck(X1,vapp(X2,X3),X4)
      | ~ vtcheck(X1,X3,X0)
      | ~ vtcheck(X1,X2,varrow(X0,X4)) ),
    inference(ennf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( vtcheck(X1,X3,X0)
        & vtcheck(X1,X2,varrow(X0,X4)) )
     => vtcheck(X1,vapp(X2,X3),X4) ),
    inference(rectify,[],[f53]) ).

fof(f53,axiom,
    ! [X9,X19,X11,X12,X14] :
      ( ( vtcheck(X19,X12,X9)
        & vtcheck(X19,X11,varrow(X9,X14)) )
     => vtcheck(X19,vapp(X11,X12),X14) ),
    file('/export/starexec/sandbox/tmp/tmp.bdfjdpPVpe/Vampire---4.8_11820','T-app') ).

fof(f595,plain,
    ( ! [X0] : vtcheck(vbind(sK2,X0,sK4),ve1app,varrow(sK8(sK4,sK5,vapp(ve1app,ve2app)),sK5))
    | spl15_6
    | ~ spl15_27 ),
    inference(resolution,[],[f459,f258]) ).

fof(f258,plain,
    ( ~ visFreeVar(sK2,ve1app)
    | spl15_6 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f256,plain,
    ( spl15_6
  <=> visFreeVar(sK2,ve1app) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).

fof(f459,plain,
    ( ! [X0,X1] :
        ( visFreeVar(X0,ve1app)
        | vtcheck(vbind(X0,X1,sK4),ve1app,varrow(sK8(sK4,sK5,vapp(ve1app,ve2app)),sK5)) )
    | ~ spl15_27 ),
    inference(resolution,[],[f456,f184]) ).

fof(f184,plain,
    ! [X2,X3,X0,X1] :
      ( ~ vtcheck(X2,ve1app,X3)
      | vtcheck(vbind(X0,X1,X2),ve1app,X3)
      | visFreeVar(X0,ve1app) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0,X1,X2,X3] :
      ( vtcheck(vbind(X0,X1,X2),ve1app,X3)
      | ~ vtcheck(X2,ve1app,X3)
      | visFreeVar(X0,ve1app) ),
    inference(flattening,[],[f125]) ).

fof(f125,plain,
    ! [X0,X1,X2,X3] :
      ( vtcheck(vbind(X0,X1,X2),ve1app,X3)
      | ~ vtcheck(X2,ve1app,X3)
      | visFreeVar(X0,ve1app) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1,X2,X3] :
      ( ( vtcheck(X2,ve1app,X3)
        & ~ visFreeVar(X0,ve1app) )
     => vtcheck(vbind(X0,X1,X2),ve1app,X3) ),
    inference(rectify,[],[f57]) ).

fof(f57,axiom,
    ! [X8,X9,X19,X14] :
      ( ( vtcheck(X19,ve1app,X14)
        & ~ visFreeVar(X8,ve1app) )
     => vtcheck(vbind(X8,X9,X19),ve1app,X14) ),
    file('/export/starexec/sandbox/tmp/tmp.bdfjdpPVpe/Vampire---4.8_11820','T-Weak-FreeVar-app-IH1') ).

fof(f456,plain,
    ( vtcheck(sK4,ve1app,varrow(sK8(sK4,sK5,vapp(ve1app,ve2app)),sK5))
    | ~ spl15_27 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f454,plain,
    ( spl15_27
  <=> vtcheck(sK4,ve1app,varrow(sK8(sK4,sK5,vapp(ve1app,ve2app)),sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).

fof(f543,plain,
    ( spl15_36
    | ~ spl15_11
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f533,f527,f338,f540]) ).

fof(f338,plain,
    ( spl15_11
  <=> vtcheck(sK4,sK7(sK4,sK5,vapp(ve1app,ve2app)),sK8(sK4,sK5,vapp(ve1app,ve2app))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).

fof(f527,plain,
    ( spl15_34
  <=> ve2app = sK7(sK4,sK5,vapp(ve1app,ve2app)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).

fof(f533,plain,
    ( vtcheck(sK4,ve2app,sK8(sK4,sK5,vapp(ve1app,ve2app)))
    | ~ spl15_11
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f340,f529]) ).

fof(f529,plain,
    ( ve2app = sK7(sK4,sK5,vapp(ve1app,ve2app))
    | ~ spl15_34 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f340,plain,
    ( vtcheck(sK4,sK7(sK4,sK5,vapp(ve1app,ve2app)),sK8(sK4,sK5,vapp(ve1app,ve2app)))
    | ~ spl15_11 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f530,plain,
    ( spl15_34
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f525,f333,f527]) ).

fof(f333,plain,
    ( spl15_10
  <=> vapp(ve1app,ve2app) = vapp(sK6(sK4,sK5,vapp(ve1app,ve2app)),sK7(sK4,sK5,vapp(ve1app,ve2app))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).

fof(f525,plain,
    ( ve2app = sK7(sK4,sK5,vapp(ve1app,ve2app))
    | ~ spl15_10 ),
    inference(equality_resolution,[],[f413]) ).

fof(f413,plain,
    ( ! [X0,X1] :
        ( vapp(ve1app,ve2app) != vapp(X0,X1)
        | sK7(sK4,sK5,vapp(ve1app,ve2app)) = X1 )
    | ~ spl15_10 ),
    inference(superposition,[],[f162,f335]) ).

fof(f335,plain,
    ( vapp(ve1app,ve2app) = vapp(sK6(sK4,sK5,vapp(ve1app,ve2app)),sK7(sK4,sK5,vapp(ve1app,ve2app)))
    | ~ spl15_10 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f162,plain,
    ! [X2,X3,X0,X1] :
      ( vapp(X0,X1) != vapp(X2,X3)
      | X1 = X3 ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1,X2,X3] :
      ( ( vapp(X0,X1) = vapp(X2,X3)
        | X1 != X3
        | X0 != X2 )
      & ( ( X1 = X3
          & X0 = X2 )
        | vapp(X0,X1) != vapp(X2,X3) ) ),
    inference(flattening,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1,X2,X3] :
      ( ( vapp(X0,X1) = vapp(X2,X3)
        | X1 != X3
        | X0 != X2 )
      & ( ( X1 = X3
          & X0 = X2 )
        | vapp(X0,X1) != vapp(X2,X3) ) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( X1 = X3
          & X0 = X2 )
       => vapp(X0,X1) = vapp(X2,X3) )
      & ( vapp(X0,X1) = vapp(X2,X3)
       => ( X1 = X3
          & X0 = X2 ) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X3,X5,X6,X7] :
      ( ( ( X5 = X7
          & X3 = X6 )
       => vapp(X3,X5) = vapp(X6,X7) )
      & ( vapp(X3,X5) = vapp(X6,X7)
       => ( X5 = X7
          & X3 = X6 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.bdfjdpPVpe/Vampire---4.8_11820','EQ-app') ).

fof(f457,plain,
    ( spl15_27
    | ~ spl15_9
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f442,f435,f328,f454]) ).

fof(f328,plain,
    ( spl15_9
  <=> vtcheck(sK4,sK6(sK4,sK5,vapp(ve1app,ve2app)),varrow(sK8(sK4,sK5,vapp(ve1app,ve2app)),sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).

fof(f435,plain,
    ( spl15_24
  <=> ve1app = sK6(sK4,sK5,vapp(ve1app,ve2app)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).

fof(f442,plain,
    ( vtcheck(sK4,ve1app,varrow(sK8(sK4,sK5,vapp(ve1app,ve2app)),sK5))
    | ~ spl15_9
    | ~ spl15_24 ),
    inference(backward_demodulation,[],[f330,f437]) ).

fof(f437,plain,
    ( ve1app = sK6(sK4,sK5,vapp(ve1app,ve2app))
    | ~ spl15_24 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f330,plain,
    ( vtcheck(sK4,sK6(sK4,sK5,vapp(ve1app,ve2app)),varrow(sK8(sK4,sK5,vapp(ve1app,ve2app)),sK5))
    | ~ spl15_9 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f438,plain,
    ( spl15_24
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f433,f333,f435]) ).

fof(f433,plain,
    ( ve1app = sK6(sK4,sK5,vapp(ve1app,ve2app))
    | ~ spl15_10 ),
    inference(equality_resolution,[],[f411]) ).

fof(f411,plain,
    ( ! [X0,X1] :
        ( vapp(ve1app,ve2app) != vapp(X0,X1)
        | sK6(sK4,sK5,vapp(ve1app,ve2app)) = X0 )
    | ~ spl15_10 ),
    inference(superposition,[],[f161,f335]) ).

fof(f161,plain,
    ! [X2,X3,X0,X1] :
      ( vapp(X0,X1) != vapp(X2,X3)
      | X0 = X2 ),
    inference(cnf_transformation,[],[f106]) ).

fof(f341,plain,
    ( spl15_11
    | ~ spl15_7 ),
    inference(avatar_split_clause,[],[f326,f316,f338]) ).

fof(f316,plain,
    ( spl15_7
  <=> sP1(sK4,sK5,vapp(ve1app,ve2app)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).

fof(f326,plain,
    ( vtcheck(sK4,sK7(sK4,sK5,vapp(ve1app,ve2app)),sK8(sK4,sK5,vapp(ve1app,ve2app)))
    | ~ spl15_7 ),
    inference(resolution,[],[f318,f167]) ).

fof(f167,plain,
    ! [X2,X0,X1] :
      ( ~ sP1(X0,X1,X2)
      | vtcheck(X0,sK7(X0,X1,X2),sK8(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0,X1,X2] :
      ( ( vtcheck(X0,sK7(X0,X1,X2),sK8(X0,X1,X2))
        & vtcheck(X0,sK6(X0,X1,X2),varrow(sK8(X0,X1,X2),X1))
        & vapp(sK6(X0,X1,X2),sK7(X0,X1,X2)) = X2 )
      | ~ sP1(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f135,f136]) ).

fof(f136,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( vtcheck(X0,X4,X5)
          & vtcheck(X0,X3,varrow(X5,X1))
          & vapp(X3,X4) = X2 )
     => ( vtcheck(X0,sK7(X0,X1,X2),sK8(X0,X1,X2))
        & vtcheck(X0,sK6(X0,X1,X2),varrow(sK8(X0,X1,X2),X1))
        & vapp(sK6(X0,X1,X2),sK7(X0,X1,X2)) = X2 ) ),
    introduced(choice_axiom,[]) ).

fof(f135,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( vtcheck(X0,X4,X5)
          & vtcheck(X0,X3,varrow(X5,X1))
          & vapp(X3,X4) = X2 )
      | ~ sP1(X0,X1,X2) ),
    inference(rectify,[],[f134]) ).

fof(f134,plain,
    ! [X2,X1,X0] :
      ( ? [X3,X4,X5] :
          ( vtcheck(X2,X4,X5)
          & vtcheck(X2,X3,varrow(X5,X1))
          & vapp(X3,X4) = X0 )
      | ~ sP1(X2,X1,X0) ),
    inference(nnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X2,X1,X0] :
      ( ? [X3,X4,X5] :
          ( vtcheck(X2,X4,X5)
          & vtcheck(X2,X3,varrow(X5,X1))
          & vapp(X3,X4) = X0 )
      | ~ sP1(X2,X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f318,plain,
    ( sP1(sK4,sK5,vapp(ve1app,ve2app))
    | ~ spl15_7 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f336,plain,
    ( spl15_10
    | ~ spl15_7 ),
    inference(avatar_split_clause,[],[f325,f316,f333]) ).

fof(f325,plain,
    ( vapp(ve1app,ve2app) = vapp(sK6(sK4,sK5,vapp(ve1app,ve2app)),sK7(sK4,sK5,vapp(ve1app,ve2app)))
    | ~ spl15_7 ),
    inference(resolution,[],[f318,f165]) ).

fof(f165,plain,
    ! [X2,X0,X1] :
      ( ~ sP1(X0,X1,X2)
      | vapp(sK6(X0,X1,X2),sK7(X0,X1,X2)) = X2 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f331,plain,
    ( spl15_9
    | ~ spl15_7 ),
    inference(avatar_split_clause,[],[f324,f316,f328]) ).

fof(f324,plain,
    ( vtcheck(sK4,sK6(sK4,sK5,vapp(ve1app,ve2app)),varrow(sK8(sK4,sK5,vapp(ve1app,ve2app)),sK5))
    | ~ spl15_7 ),
    inference(resolution,[],[f318,f166]) ).

fof(f166,plain,
    ! [X2,X0,X1] :
      ( ~ sP1(X0,X1,X2)
      | vtcheck(X0,sK6(X0,X1,X2),varrow(sK8(X0,X1,X2),X1)) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f323,plain,
    ( spl15_7
    | spl15_8
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f314,f233,f320,f316]) ).

fof(f233,plain,
    ( spl15_2
  <=> vtcheck(sK4,vapp(ve1app,ve2app),sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f314,plain,
    ( sP0(sK4,sK5,vapp(ve1app,ve2app))
    | sP1(sK4,sK5,vapp(ve1app,ve2app))
    | ~ spl15_2 ),
    inference(subsumption_resolution,[],[f311,f160]) ).

fof(f160,plain,
    ! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X3,X5] : vvar(X0) != vapp(X3,X5),
    file('/export/starexec/sandbox/tmp/tmp.bdfjdpPVpe/Vampire---4.8_11820','DIFF-var-app') ).

fof(f311,plain,
    ( sP0(sK4,sK5,vapp(ve1app,ve2app))
    | vapp(ve1app,ve2app) = vvar(sK13(vapp(ve1app,ve2app),sK5,sK4))
    | sP1(sK4,sK5,vapp(ve1app,ve2app))
    | ~ spl15_2 ),
    inference(resolution,[],[f171,f235]) ).

fof(f235,plain,
    ( vtcheck(sK4,vapp(ve1app,ve2app),sK5)
    | ~ spl15_2 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f171,plain,
    ! [X2,X0,X1] :
      ( ~ vtcheck(X2,X0,X1)
      | sP0(X2,X1,X0)
      | vvar(sK13(X0,X1,X2)) = X0
      | sP1(X2,X1,X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0,X1,X2] :
      ( sP1(X2,X1,X0)
      | sP0(X2,X1,X0)
      | ( vsomeType(X1) = vlookup(sK13(X0,X1,X2),X2)
        & vvar(sK13(X0,X1,X2)) = X0 )
      | ~ vtcheck(X2,X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f142,f143]) ).

fof(f143,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( vsomeType(X1) = vlookup(X3,X2)
          & vvar(X3) = X0 )
     => ( vsomeType(X1) = vlookup(sK13(X0,X1,X2),X2)
        & vvar(sK13(X0,X1,X2)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f142,plain,
    ! [X0,X1,X2] :
      ( sP1(X2,X1,X0)
      | sP0(X2,X1,X0)
      | ? [X3] :
          ( vsomeType(X1) = vlookup(X3,X2)
          & vvar(X3) = X0 )
      | ~ vtcheck(X2,X0,X1) ),
    inference(rectify,[],[f131]) ).

fof(f131,plain,
    ! [X0,X1,X2] :
      ( sP1(X2,X1,X0)
      | sP0(X2,X1,X0)
      | ? [X10] :
          ( vlookup(X10,X2) = vsomeType(X1)
          & vvar(X10) = X0 )
      | ~ vtcheck(X2,X0,X1) ),
    inference(definition_folding,[],[f110,f130,f129]) ).

fof(f110,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( vtcheck(X2,X4,X5)
          & vtcheck(X2,X3,varrow(X5,X1))
          & vapp(X3,X4) = X0 )
      | ? [X6,X7,X8,X9] :
          ( vtcheck(vbind(X6,X8,X2),X7,X9)
          & varrow(X8,X9) = X1
          & vabs(X6,X8,X7) = X0 )
      | ? [X10] :
          ( vlookup(X10,X2) = vsomeType(X1)
          & vvar(X10) = X0 )
      | ~ vtcheck(X2,X0,X1) ),
    inference(flattening,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( vtcheck(X2,X4,X5)
          & vtcheck(X2,X3,varrow(X5,X1))
          & vapp(X3,X4) = X0 )
      | ? [X6,X7,X8,X9] :
          ( vtcheck(vbind(X6,X8,X2),X7,X9)
          & varrow(X8,X9) = X1
          & vabs(X6,X8,X7) = X0 )
      | ? [X10] :
          ( vlookup(X10,X2) = vsomeType(X1)
          & vvar(X10) = X0 )
      | ~ vtcheck(X2,X0,X1) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( vtcheck(X2,X0,X1)
     => ( ? [X3,X4,X5] :
            ( vtcheck(X2,X4,X5)
            & vtcheck(X2,X3,varrow(X5,X1))
            & vapp(X3,X4) = X0 )
        | ? [X6,X7,X8,X9] :
            ( vtcheck(vbind(X6,X8,X2),X7,X9)
            & varrow(X8,X9) = X1
            & vabs(X6,X8,X7) = X0 )
        | ? [X10] :
            ( vlookup(X10,X2) = vsomeType(X1)
            & vvar(X10) = X0 ) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,axiom,
    ! [X10,X14,X19] :
      ( vtcheck(X19,X10,X14)
     => ( ? [X11,X12,X9] :
            ( vtcheck(X19,X12,X9)
            & vtcheck(X19,X11,varrow(X9,X14))
            & vapp(X11,X12) = X10 )
        | ? [X8,X12,X32,X33] :
            ( vtcheck(vbind(X8,X32,X19),X12,X33)
            & varrow(X32,X33) = X14
            & vabs(X8,X32,X12) = X10 )
        | ? [X8] :
            ( vlookup(X8,X19) = vsomeType(X14)
            & vvar(X8) = X10 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.bdfjdpPVpe/Vampire---4.8_11820','T-inv') ).

fof(f259,plain,
    ( ~ spl15_6
    | spl15_3 ),
    inference(avatar_split_clause,[],[f254,f238,f256]) ).

fof(f238,plain,
    ( spl15_3
  <=> visFreeVar(sK2,vapp(ve1app,ve2app)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).

fof(f254,plain,
    ( ~ visFreeVar(sK2,ve1app)
    | spl15_3 ),
    inference(resolution,[],[f197,f240]) ).

fof(f240,plain,
    ( ~ visFreeVar(sK2,vapp(ve1app,ve2app))
    | spl15_3 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f197,plain,
    ! [X2,X3,X4] :
      ( visFreeVar(X3,vapp(X2,X4))
      | ~ visFreeVar(X3,X2) ),
    inference(equality_resolution,[],[f196]) ).

fof(f196,plain,
    ! [X2,X3,X0,X4] :
      ( visFreeVar(X0,vapp(X2,X4))
      | ~ visFreeVar(X3,X2)
      | X0 != X3 ),
    inference(equality_resolution,[],[f150]) ).

fof(f150,plain,
    ! [X2,X3,X0,X1,X4] :
      ( visFreeVar(X0,X1)
      | ~ visFreeVar(X3,X2)
      | vapp(X2,X4) != X1
      | X0 != X3 ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( visFreeVar(X3,X4)
          | visFreeVar(X3,X2)
          | ~ visFreeVar(X0,X1) )
        & ( visFreeVar(X0,X1)
          | ( ~ visFreeVar(X3,X4)
            & ~ visFreeVar(X3,X2) ) ) )
      | vapp(X2,X4) != X1
      | X0 != X3 ),
    inference(flattening,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( visFreeVar(X3,X4)
          | visFreeVar(X3,X2)
          | ~ visFreeVar(X0,X1) )
        & ( visFreeVar(X0,X1)
          | ( ~ visFreeVar(X3,X4)
            & ~ visFreeVar(X3,X2) ) ) )
      | vapp(X2,X4) != X1
      | X0 != X3 ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( vapp(X2,X4) = X1
        & X0 = X3 )
     => ( ( visFreeVar(X0,X1)
         => ( visFreeVar(X3,X4)
            | visFreeVar(X3,X2) ) )
        & ( ( visFreeVar(X3,X4)
            | visFreeVar(X3,X2) )
         => visFreeVar(X0,X1) ) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X3,X11,X13,X12] :
      ( ( vapp(X11,X12) = X3
        & X0 = X13 )
     => ( ( visFreeVar(X0,X3)
         => ( visFreeVar(X13,X12)
            | visFreeVar(X13,X11) ) )
        & ( ( visFreeVar(X13,X12)
            | visFreeVar(X13,X11) )
         => visFreeVar(X0,X3) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.bdfjdpPVpe/Vampire---4.8_11820',isFreeVar2) ).

fof(f253,plain,
    ( ~ spl15_5
    | spl15_3 ),
    inference(avatar_split_clause,[],[f248,f238,f250]) ).

fof(f248,plain,
    ( ~ visFreeVar(sK2,ve2app)
    | spl15_3 ),
    inference(resolution,[],[f195,f240]) ).

fof(f195,plain,
    ! [X2,X3,X4] :
      ( visFreeVar(X3,vapp(X2,X4))
      | ~ visFreeVar(X3,X4) ),
    inference(equality_resolution,[],[f194]) ).

fof(f194,plain,
    ! [X2,X3,X0,X4] :
      ( visFreeVar(X0,vapp(X2,X4))
      | ~ visFreeVar(X3,X4)
      | X0 != X3 ),
    inference(equality_resolution,[],[f151]) ).

fof(f151,plain,
    ! [X2,X3,X0,X1,X4] :
      ( visFreeVar(X0,X1)
      | ~ visFreeVar(X3,X4)
      | vapp(X2,X4) != X1
      | X0 != X3 ),
    inference(cnf_transformation,[],[f98]) ).

fof(f241,plain,
    ~ spl15_3,
    inference(avatar_split_clause,[],[f145,f238]) ).

fof(f145,plain,
    ~ visFreeVar(sK2,vapp(ve1app,ve2app)),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ( ~ vtcheck(vbind(sK2,sK3,sK4),vapp(ve1app,ve2app),sK5)
    & vtcheck(sK4,vapp(ve1app,ve2app),sK5)
    & ~ visFreeVar(sK2,vapp(ve1app,ve2app)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f92,f132]) ).

fof(f132,plain,
    ( ? [X0,X1,X2,X3] :
        ( ~ vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3)
        & vtcheck(X2,vapp(ve1app,ve2app),X3)
        & ~ visFreeVar(X0,vapp(ve1app,ve2app)) )
   => ( ~ vtcheck(vbind(sK2,sK3,sK4),vapp(ve1app,ve2app),sK5)
      & vtcheck(sK4,vapp(ve1app,ve2app),sK5)
      & ~ visFreeVar(sK2,vapp(ve1app,ve2app)) ) ),
    introduced(choice_axiom,[]) ).

fof(f92,plain,
    ? [X0,X1,X2,X3] :
      ( ~ vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3)
      & vtcheck(X2,vapp(ve1app,ve2app),X3)
      & ~ visFreeVar(X0,vapp(ve1app,ve2app)) ),
    inference(flattening,[],[f91]) ).

fof(f91,plain,
    ? [X0,X1,X2,X3] :
      ( ~ vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3)
      & vtcheck(X2,vapp(ve1app,ve2app),X3)
      & ~ visFreeVar(X0,vapp(ve1app,ve2app)) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,plain,
    ~ ! [X0,X1,X2,X3] :
        ( ( vtcheck(X2,vapp(ve1app,ve2app),X3)
          & ~ visFreeVar(X0,vapp(ve1app,ve2app)) )
       => vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3) ),
    inference(rectify,[],[f60]) ).

fof(f60,negated_conjecture,
    ~ ! [X8,X9,X19,X14] :
        ( ( vtcheck(X19,vapp(ve1app,ve2app),X14)
          & ~ visFreeVar(X8,vapp(ve1app,ve2app)) )
       => vtcheck(vbind(X8,X9,X19),vapp(ve1app,ve2app),X14) ),
    inference(negated_conjecture,[],[f59]) ).

fof(f59,conjecture,
    ! [X8,X9,X19,X14] :
      ( ( vtcheck(X19,vapp(ve1app,ve2app),X14)
        & ~ visFreeVar(X8,vapp(ve1app,ve2app)) )
     => vtcheck(vbind(X8,X9,X19),vapp(ve1app,ve2app),X14) ),
    file('/export/starexec/sandbox/tmp/tmp.bdfjdpPVpe/Vampire---4.8_11820','T-Weak-FreeVar-app') ).

fof(f236,plain,
    spl15_2,
    inference(avatar_split_clause,[],[f146,f233]) ).

fof(f146,plain,
    vtcheck(sK4,vapp(ve1app,ve2app),sK5),
    inference(cnf_transformation,[],[f133]) ).

fof(f231,plain,
    ~ spl15_1,
    inference(avatar_split_clause,[],[f147,f228]) ).

fof(f147,plain,
    ~ vtcheck(vbind(sK2,sK3,sK4),vapp(ve1app,ve2app),sK5),
    inference(cnf_transformation,[],[f133]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : COM126+1 : TPTP v8.1.2. Released v6.4.0.
% 0.08/0.11  % 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
% 0.10/0.32  % Computer : n005.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Apr 30 18:38:26 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.32  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.bdfjdpPVpe/Vampire---4.8_11820
% 0.64/0.81  % (11933)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)
% 0.64/0.81  % (11936)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)
% 0.64/0.81  % (11935)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.81  % (11937)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)
% 0.64/0.81  % (11934)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)
% 0.64/0.81  % (11938)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)
% 0.64/0.81  % (11939)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)
% 0.64/0.81  % (11940)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)
% 0.64/0.81  % (11940)Refutation not found, incomplete strategy% (11940)------------------------------
% 0.64/0.81  % (11940)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.81  % (11940)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81  
% 0.64/0.81  % (11940)Memory used [KB]: 1085
% 0.64/0.81  % (11940)Time elapsed: 0.003 s
% 0.64/0.82  % (11940)Instructions burned: 4 (million)
% 0.64/0.82  % (11940)------------------------------
% 0.64/0.82  % (11940)------------------------------
% 0.64/0.82  % (11935)Refutation not found, incomplete strategy% (11935)------------------------------
% 0.64/0.82  % (11935)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82  % (11935)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.82  
% 0.64/0.82  % (11935)Memory used [KB]: 1135
% 0.64/0.82  % (11935)Time elapsed: 0.005 s
% 0.64/0.82  % (11935)Instructions burned: 5 (million)
% 0.64/0.82  % (11935)------------------------------
% 0.64/0.82  % (11935)------------------------------
% 0.64/0.82  % (11938)Refutation not found, incomplete strategy% (11938)------------------------------
% 0.64/0.82  % (11938)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82  % (11938)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.82  
% 0.64/0.82  % (11938)Memory used [KB]: 1131
% 0.64/0.82  % (11938)Time elapsed: 0.005 s
% 0.64/0.82  % (11938)Instructions burned: 4 (million)
% 0.64/0.82  % (11938)------------------------------
% 0.64/0.82  % (11938)------------------------------
% 0.64/0.82  % (11941)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)
% 0.64/0.82  % (11942)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)
% 0.64/0.82  % (11943)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)
% 0.64/0.83  % (11936)Instruction limit reached!
% 0.64/0.83  % (11936)------------------------------
% 0.64/0.83  % (11936)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83  % (11936)Termination reason: Unknown
% 0.64/0.83  % (11937)Instruction limit reached!
% 0.64/0.83  % (11937)------------------------------
% 0.64/0.83  % (11937)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83  % (11936)Termination phase: Saturation
% 0.64/0.83  
% 0.64/0.83  % (11936)Memory used [KB]: 1619
% 0.64/0.83  % (11936)Time elapsed: 0.019 s
% 0.64/0.83  % (11936)Instructions burned: 33 (million)
% 0.64/0.83  % (11936)------------------------------
% 0.64/0.83  % (11936)------------------------------
% 0.64/0.83  % (11937)Termination reason: Unknown
% 0.64/0.83  % (11937)Termination phase: Saturation
% 0.64/0.83  
% 0.64/0.83  % (11937)Memory used [KB]: 1645
% 0.64/0.83  % (11937)Time elapsed: 0.019 s
% 0.64/0.83  % (11937)Instructions burned: 34 (million)
% 0.64/0.83  % (11937)------------------------------
% 0.64/0.83  % (11937)------------------------------
% 0.64/0.83  % (11933)Instruction limit reached!
% 0.64/0.83  % (11933)------------------------------
% 0.64/0.83  % (11933)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83  % (11933)Termination reason: Unknown
% 0.64/0.83  % (11933)Termination phase: Saturation
% 0.64/0.83  
% 0.64/0.83  % (11933)Memory used [KB]: 1330
% 0.64/0.83  % (11933)Time elapsed: 0.021 s
% 0.64/0.83  % (11933)Instructions burned: 35 (million)
% 0.64/0.83  % (11933)------------------------------
% 0.64/0.83  % (11933)------------------------------
% 0.72/0.83  % (11944)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 (2994ds/52Mi)
% 0.72/0.83  % (11945)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 (2994ds/518Mi)
% 0.72/0.84  % (11946)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 (2994ds/42Mi)
% 0.72/0.84  % (11934)Instruction limit reached!
% 0.72/0.84  % (11934)------------------------------
% 0.72/0.84  % (11934)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.84  % (11934)Termination reason: Unknown
% 0.72/0.84  % (11934)Termination phase: Saturation
% 0.72/0.84  
% 0.72/0.84  % (11934)Memory used [KB]: 1728
% 0.72/0.84  % (11934)Time elapsed: 0.027 s
% 0.72/0.84  % (11934)Instructions burned: 51 (million)
% 0.72/0.84  % (11934)------------------------------
% 0.72/0.84  % (11934)------------------------------
% 0.72/0.84  % (11945)Refutation not found, incomplete strategy% (11945)------------------------------
% 0.72/0.84  % (11945)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.84  % (11945)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.84  
% 0.72/0.84  % (11945)Memory used [KB]: 1357
% 0.72/0.84  % (11945)Time elapsed: 0.008 s
% 0.72/0.84  % (11945)Instructions burned: 14 (million)
% 0.72/0.84  % (11945)------------------------------
% 0.72/0.84  % (11945)------------------------------
% 0.72/0.84  % (11947)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 (2994ds/243Mi)
% 0.72/0.84  % (11942)Instruction limit reached!
% 0.72/0.84  % (11942)------------------------------
% 0.72/0.84  % (11942)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.84  % (11942)Termination reason: Unknown
% 0.72/0.84  % (11942)Termination phase: Saturation
% 0.72/0.84  
% 0.72/0.84  % (11942)Memory used [KB]: 1810
% 0.72/0.84  % (11942)Time elapsed: 0.025 s
% 0.72/0.84  % (11942)Instructions burned: 51 (million)
% 0.72/0.84  % (11942)------------------------------
% 0.72/0.84  % (11942)------------------------------
% 0.72/0.84  % (11948)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 (2994ds/117Mi)
% 0.72/0.85  % (11941)Instruction limit reached!
% 0.72/0.85  % (11941)------------------------------
% 0.72/0.85  % (11941)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.85  % (11941)Termination reason: Unknown
% 0.72/0.85  % (11941)Termination phase: Saturation
% 0.72/0.85  
% 0.72/0.85  % (11941)Memory used [KB]: 1878
% 0.72/0.85  % (11949)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 (2994ds/143Mi)
% 0.72/0.85  % (11941)Time elapsed: 0.029 s
% 0.72/0.85  % (11941)Instructions burned: 56 (million)
% 0.72/0.85  % (11941)------------------------------
% 0.72/0.85  % (11941)------------------------------
% 0.72/0.85  % (11948)Refutation not found, incomplete strategy% (11948)------------------------------
% 0.72/0.85  % (11948)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.85  % (11948)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.85  
% 0.72/0.85  % (11948)Memory used [KB]: 1141
% 0.72/0.85  % (11948)Time elapsed: 0.004 s
% 0.72/0.85  % (11948)Instructions burned: 5 (million)
% 0.72/0.85  % (11948)------------------------------
% 0.72/0.85  % (11948)------------------------------
% 0.72/0.85  % (11950)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 (2994ds/93Mi)
% 0.72/0.85  % (11951)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 (2994ds/62Mi)
% 0.72/0.85  % (11939)Instruction limit reached!
% 0.72/0.85  % (11939)------------------------------
% 0.72/0.85  % (11939)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.85  % (11939)Termination reason: Unknown
% 0.72/0.85  % (11939)Termination phase: Saturation
% 0.72/0.85  
% 0.72/0.85  % (11939)Memory used [KB]: 2216
% 0.72/0.85  % (11939)Time elapsed: 0.041 s
% 0.72/0.85  % (11939)Instructions burned: 84 (million)
% 0.72/0.85  % (11939)------------------------------
% 0.72/0.85  % (11939)------------------------------
% 0.72/0.85  % (11946)Instruction limit reached!
% 0.72/0.85  % (11946)------------------------------
% 0.72/0.85  % (11946)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.85  % (11946)Termination reason: Unknown
% 0.72/0.85  % (11946)Termination phase: Property scanning
% 0.72/0.85  
% 0.72/0.85  % (11946)Memory used [KB]: 6987
% 0.72/0.85  % (11946)Time elapsed: 0.021 s
% 0.72/0.85  % (11946)Instructions burned: 44 (million)
% 0.72/0.85  % (11946)------------------------------
% 0.72/0.85  % (11946)------------------------------
% 0.72/0.86  % (11952)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 (2994ds/32Mi)
% 0.72/0.86  % (11953)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)
% 0.72/0.86  % (11944)Instruction limit reached!
% 0.72/0.86  % (11944)------------------------------
% 0.72/0.86  % (11944)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.86  % (11944)Termination reason: Unknown
% 0.72/0.86  % (11944)Termination phase: Saturation
% 0.72/0.86  
% 0.72/0.86  % (11944)Memory used [KB]: 2015
% 0.72/0.86  % (11944)Time elapsed: 0.028 s
% 0.72/0.86  % (11944)Instructions burned: 52 (million)
% 0.72/0.86  % (11944)------------------------------
% 0.72/0.86  % (11944)------------------------------
% 0.72/0.86  % (11954)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)
% 0.72/0.87  % (11952)Instruction limit reached!
% 0.72/0.87  % (11952)------------------------------
% 0.72/0.87  % (11952)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.87  % (11952)Termination reason: Unknown
% 0.72/0.87  % (11952)Termination phase: Saturation
% 0.72/0.87  
% 0.72/0.87  % (11952)Memory used [KB]: 1372
% 0.72/0.87  % (11952)Time elapsed: 0.015 s
% 0.72/0.87  % (11952)Instructions burned: 32 (million)
% 0.72/0.87  % (11952)------------------------------
% 0.72/0.87  % (11952)------------------------------
% 0.72/0.87  % (11955)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)
% 0.72/0.88  % (11951)Instruction limit reached!
% 0.72/0.88  % (11951)------------------------------
% 0.72/0.88  % (11951)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.88  % (11951)Termination reason: Unknown
% 0.72/0.88  % (11951)Termination phase: NewCNF
% 0.72/0.88  
% 0.72/0.88  % (11951)Memory used [KB]: 7307
% 0.72/0.88  % (11951)Time elapsed: 0.030 s
% 0.72/0.88  % (11951)Instructions burned: 62 (million)
% 0.72/0.88  % (11951)------------------------------
% 0.72/0.88  % (11951)------------------------------
% 0.72/0.88  % (11956)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)
% 0.72/0.89  % (11954)Instruction limit reached!
% 0.72/0.89  % (11954)------------------------------
% 0.72/0.89  % (11954)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.89  % (11954)Termination reason: Unknown
% 0.72/0.89  % (11954)Termination phase: Saturation
% 0.72/0.89  
% 0.72/0.89  % (11954)Memory used [KB]: 1893
% 0.72/0.89  % (11954)Time elapsed: 0.026 s
% 0.72/0.89  % (11954)Instructions burned: 55 (million)
% 0.72/0.89  % (11954)------------------------------
% 0.72/0.89  % (11954)------------------------------
% 0.72/0.89  % (11957)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)
% 0.72/0.89  % (11950)Instruction limit reached!
% 0.72/0.89  % (11950)------------------------------
% 0.72/0.89  % (11950)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.89  % (11950)Termination reason: Unknown
% 0.72/0.89  % (11950)Termination phase: Saturation
% 0.72/0.89  
% 0.72/0.89  % (11950)Memory used [KB]: 1850
% 0.72/0.89  % (11950)Time elapsed: 0.047 s
% 0.72/0.89  % (11950)Instructions burned: 93 (million)
% 0.72/0.89  % (11950)------------------------------
% 0.72/0.89  % (11950)------------------------------
% 0.72/0.90  % (11955)Instruction limit reached!
% 0.72/0.90  % (11955)------------------------------
% 0.72/0.90  % (11955)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.90  % (11958)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)
% 0.72/0.90  % (11955)Termination reason: Unknown
% 0.72/0.90  % (11955)Termination phase: Saturation
% 0.72/0.90  
% 0.72/0.90  % (11955)Memory used [KB]: 1911
% 0.72/0.90  % (11955)Time elapsed: 0.028 s
% 0.72/0.90  % (11955)Instructions burned: 54 (million)
% 0.72/0.90  % (11955)------------------------------
% 0.72/0.90  % (11955)------------------------------
% 0.72/0.90  % (11959)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 0.72/0.90  % (11956)Instruction limit reached!
% 0.72/0.90  % (11956)------------------------------
% 0.72/0.90  % (11956)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.90  % (11956)Termination reason: Unknown
% 0.72/0.90  % (11956)Termination phase: Saturation
% 0.72/0.90  
% 0.72/0.90  % (11956)Memory used [KB]: 1621
% 0.72/0.90  % (11956)Time elapsed: 0.024 s
% 0.72/0.90  % (11956)Instructions burned: 46 (million)
% 0.72/0.90  % (11956)------------------------------
% 0.72/0.90  % (11956)------------------------------
% 0.72/0.91  % (11960)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 0.72/0.91  % (11949)Instruction limit reached!
% 0.72/0.91  % (11949)------------------------------
% 0.72/0.91  % (11949)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.91  % (11949)Termination reason: Unknown
% 0.72/0.91  % (11949)Termination phase: Saturation
% 0.72/0.91  
% 0.72/0.91  % (11949)Memory used [KB]: 1865
% 0.72/0.91  % (11949)Time elapsed: 0.065 s
% 0.72/0.91  % (11949)Instructions burned: 143 (million)
% 0.72/0.91  % (11949)------------------------------
% 0.72/0.91  % (11949)------------------------------
% 0.72/0.91  % (11957)First to succeed.
% 0.72/0.91  % (11961)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2994ds/161Mi)
% 0.72/0.91  % (11957)Refutation found. Thanks to Tanya!
% 0.72/0.91  % SZS status Theorem for Vampire---4
% 0.72/0.91  % SZS output start Proof for Vampire---4
% See solution above
% 0.72/0.92  % (11957)------------------------------
% 0.72/0.92  % (11957)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.92  % (11957)Termination reason: Refutation
% 0.72/0.92  
% 0.72/0.92  % (11957)Memory used [KB]: 1367
% 0.72/0.92  % (11957)Time elapsed: 0.024 s
% 0.72/0.92  % (11957)Instructions burned: 41 (million)
% 0.72/0.92  % (11957)------------------------------
% 0.72/0.92  % (11957)------------------------------
% 0.72/0.92  % (11929)Success in time 0.581 s
% 0.72/0.92  % Vampire---4.8 exiting
%------------------------------------------------------------------------------