TSTP Solution File: COM123+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COM123+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 : n021.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 04:46:54 EDT 2024

% Result   : Theorem 0.71s 0.85s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  142 (  18 unt;   0 def)
%            Number of atoms       :  451 ( 162 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  475 ( 166   ~; 166   |; 102   &)
%                                         (  16 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   23 (  21 usr;  17 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;   7 con; 0-3 aty)
%            Number of variables   :  365 ( 284   !;  81   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f723,plain,
    $false,
    inference(avatar_sat_refutation,[],[f231,f236,f241,f246,f256,f278,f279,f311,f322,f334,f339,f392,f399,f407,f447,f562,f721]) ).

fof(f721,plain,
    ( spl18_1
    | spl18_7
    | spl18_8
    | ~ spl18_20
    | ~ spl18_22 ),
    inference(avatar_contradiction_clause,[],[f714]) ).

fof(f714,plain,
    ( $false
    | spl18_1
    | spl18_7
    | spl18_8
    | ~ spl18_20
    | ~ spl18_22 ),
    inference(resolution,[],[f707,f230]) ).

fof(f230,plain,
    ( ~ vtcheck(vbind(sK2,sK3,sK4),vabs(sK5,sK6,veabs),sK7)
    | spl18_1 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f228,plain,
    ( spl18_1
  <=> vtcheck(vbind(sK2,sK3,sK4),vabs(sK5,sK6,veabs),sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).

fof(f707,plain,
    ( ! [X0] : vtcheck(vbind(sK2,X0,sK4),vabs(sK5,sK6,veabs),sK7)
    | spl18_7
    | spl18_8
    | ~ spl18_20
    | ~ spl18_22 ),
    inference(resolution,[],[f706,f400]) ).

fof(f400,plain,
    ( ! [X2,X0,X1] :
        ( ~ vtcheck(vbind(X1,sK6,X0),X2,sK14(sK4,sK7,vabs(sK5,sK6,veabs)))
        | vtcheck(X0,vabs(X1,sK6,X2),sK7) )
    | ~ spl18_20 ),
    inference(superposition,[],[f169,f398]) ).

fof(f398,plain,
    ( sK7 = varrow(sK6,sK14(sK4,sK7,vabs(sK5,sK6,veabs)))
    | ~ spl18_20 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f396,plain,
    ( spl18_20
  <=> sK7 = varrow(sK6,sK14(sK4,sK7,vabs(sK5,sK6,veabs))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_20])]) ).

fof(f169,plain,
    ! [X2,X3,X0,X1,X4] :
      ( vtcheck(X0,vabs(X1,X3,X2),varrow(X3,X4))
      | ~ vtcheck(vbind(X1,X3,X0),X2,X4) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1,X2,X3,X4] :
      ( vtcheck(X0,vabs(X1,X3,X2),varrow(X3,X4))
      | ~ vtcheck(vbind(X1,X3,X0),X2,X4) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1,X2,X3,X4] :
      ( vtcheck(vbind(X1,X3,X0),X2,X4)
     => vtcheck(X0,vabs(X1,X3,X2),varrow(X3,X4)) ),
    inference(rectify,[],[f52]) ).

fof(f52,axiom,
    ! [X19,X8,X10,X9,X14] :
      ( vtcheck(vbind(X8,X9,X19),X10,X14)
     => vtcheck(X19,vabs(X8,X9,X10),varrow(X9,X14)) ),
    file('/export/starexec/sandbox/tmp/tmp.zIHU5AudXY/Vampire---4.8_17113','T-abs') ).

fof(f706,plain,
    ( ! [X0] : vtcheck(vbind(sK5,sK6,vbind(sK2,X0,sK4)),veabs,sK14(sK4,sK7,vabs(sK5,sK6,veabs)))
    | spl18_7
    | spl18_8
    | ~ spl18_22 ),
    inference(subsumption_resolution,[],[f701,f272]) ).

fof(f272,plain,
    ( sK2 != sK5
    | spl18_7 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f271,plain,
    ( spl18_7
  <=> sK2 = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_7])]) ).

fof(f701,plain,
    ( ! [X0] :
        ( vtcheck(vbind(sK5,sK6,vbind(sK2,X0,sK4)),veabs,sK14(sK4,sK7,vabs(sK5,sK6,veabs)))
        | sK2 = sK5 )
    | spl18_8
    | ~ spl18_22 ),
    inference(resolution,[],[f698,f171]) ).

fof(f171,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ vtcheck(vbind(X2,X3,vbind(X0,X1,X4)),X5,X6)
      | vtcheck(vbind(X0,X1,vbind(X2,X3,X4)),X5,X6)
      | X0 = X2 ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( vtcheck(vbind(X0,X1,vbind(X2,X3,X4)),X5,X6)
      | ~ vtcheck(vbind(X2,X3,vbind(X0,X1,X4)),X5,X6)
      | X0 = X2 ),
    inference(flattening,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( vtcheck(vbind(X0,X1,vbind(X2,X3,X4)),X5,X6)
      | ~ vtcheck(vbind(X2,X3,vbind(X0,X1,X4)),X5,X6)
      | X0 = X2 ),
    inference(ennf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( vtcheck(vbind(X2,X3,vbind(X0,X1,X4)),X5,X6)
        & X0 != X2 )
     => vtcheck(vbind(X0,X1,vbind(X2,X3,X4)),X5,X6) ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X20,X21,X8,X22,X19,X10,X14] :
      ( ( vtcheck(vbind(X8,X22,vbind(X20,X21,X19)),X10,X14)
        & X8 != X20 )
     => vtcheck(vbind(X20,X21,vbind(X8,X22,X19)),X10,X14) ),
    file('/export/starexec/sandbox/tmp/tmp.zIHU5AudXY/Vampire---4.8_17113','T-Context-Swap') ).

fof(f698,plain,
    ( ! [X0] : vtcheck(vbind(sK2,X0,vbind(sK5,sK6,sK4)),veabs,sK14(sK4,sK7,vabs(sK5,sK6,veabs)))
    | spl18_8
    | ~ spl18_22 ),
    inference(resolution,[],[f658,f277]) ).

fof(f277,plain,
    ( ~ visFreeVar(sK2,veabs)
    | spl18_8 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f275,plain,
    ( spl18_8
  <=> visFreeVar(sK2,veabs) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_8])]) ).

fof(f658,plain,
    ( ! [X0,X1] :
        ( visFreeVar(X0,veabs)
        | vtcheck(vbind(X0,X1,vbind(sK5,sK6,sK4)),veabs,sK14(sK4,sK7,vabs(sK5,sK6,veabs))) )
    | ~ spl18_22 ),
    inference(resolution,[],[f446,f179]) ).

fof(f179,plain,
    ! [X2,X3,X0,X1] :
      ( ~ vtcheck(X2,veabs,X3)
      | vtcheck(vbind(X0,X1,X2),veabs,X3)
      | visFreeVar(X0,veabs) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1,X2,X3] :
      ( vtcheck(vbind(X0,X1,X2),veabs,X3)
      | ~ vtcheck(X2,veabs,X3)
      | visFreeVar(X0,veabs) ),
    inference(flattening,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1,X2,X3] :
      ( vtcheck(vbind(X0,X1,X2),veabs,X3)
      | ~ vtcheck(X2,veabs,X3)
      | visFreeVar(X0,veabs) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1,X2,X3] :
      ( ( vtcheck(X2,veabs,X3)
        & ~ visFreeVar(X0,veabs) )
     => vtcheck(vbind(X0,X1,X2),veabs,X3) ),
    inference(rectify,[],[f57]) ).

fof(f57,axiom,
    ! [X8,X9,X19,X14] :
      ( ( vtcheck(X19,veabs,X14)
        & ~ visFreeVar(X8,veabs) )
     => vtcheck(vbind(X8,X9,X19),veabs,X14) ),
    file('/export/starexec/sandbox/tmp/tmp.zIHU5AudXY/Vampire---4.8_17113','T-Weak-FreeVar-abs-IH') ).

fof(f446,plain,
    ( vtcheck(vbind(sK5,sK6,sK4),veabs,sK14(sK4,sK7,vabs(sK5,sK6,veabs)))
    | ~ spl18_22 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f444,plain,
    ( spl18_22
  <=> vtcheck(vbind(sK5,sK6,sK4),veabs,sK14(sK4,sK7,vabs(sK5,sK6,veabs))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_22])]) ).

fof(f562,plain,
    ( spl18_16
    | ~ spl18_13 ),
    inference(avatar_split_clause,[],[f386,f331,f367]) ).

fof(f367,plain,
    ( spl18_16
  <=> sK5 = sK11(sK4,sK7,vabs(sK5,sK6,veabs)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_16])]) ).

fof(f331,plain,
    ( spl18_13
  <=> vabs(sK5,sK6,veabs) = vabs(sK11(sK4,sK7,vabs(sK5,sK6,veabs)),sK13(sK4,sK7,vabs(sK5,sK6,veabs)),sK12(sK4,sK7,vabs(sK5,sK6,veabs))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_13])]) ).

fof(f386,plain,
    ( sK5 = sK11(sK4,sK7,vabs(sK5,sK6,veabs))
    | ~ spl18_13 ),
    inference(equality_resolution,[],[f346]) ).

fof(f346,plain,
    ( ! [X2,X0,X1] :
        ( vabs(X0,X1,X2) != vabs(sK5,sK6,veabs)
        | sK11(sK4,sK7,vabs(sK5,sK6,veabs)) = X0 )
    | ~ spl18_13 ),
    inference(superposition,[],[f141,f333]) ).

fof(f333,plain,
    ( vabs(sK5,sK6,veabs) = vabs(sK11(sK4,sK7,vabs(sK5,sK6,veabs)),sK13(sK4,sK7,vabs(sK5,sK6,veabs)),sK12(sK4,sK7,vabs(sK5,sK6,veabs)))
    | ~ spl18_13 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f141,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( vabs(X0,X1,X2) != vabs(X3,X4,X5)
      | X0 = X3 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( vabs(X0,X1,X2) = vabs(X3,X4,X5)
        | X2 != X5
        | X1 != X4
        | X0 != X3 )
      & ( ( X2 = X5
          & X1 = X4
          & X0 = X3 )
        | vabs(X0,X1,X2) != vabs(X3,X4,X5) ) ),
    inference(flattening,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( vabs(X0,X1,X2) = vabs(X3,X4,X5)
        | X2 != X5
        | X1 != X4
        | X0 != X3 )
      & ( ( X2 = X5
          & X1 = X4
          & X0 = X3 )
        | vabs(X0,X1,X2) != vabs(X3,X4,X5) ) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( ( X2 = X5
          & X1 = X4
          & X0 = X3 )
       => vabs(X0,X1,X2) = vabs(X3,X4,X5) )
      & ( vabs(X0,X1,X2) = vabs(X3,X4,X5)
       => ( X2 = X5
          & X1 = X4
          & X0 = X3 ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X2,X3,X1,X4,X5] :
      ( ( ( X3 = X5
          & X2 = X4
          & X0 = X1 )
       => vabs(X0,X2,X3) = vabs(X1,X4,X5) )
      & ( vabs(X0,X2,X3) = vabs(X1,X4,X5)
       => ( X3 = X5
          & X2 = X4
          & X0 = X1 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.zIHU5AudXY/Vampire---4.8_17113','EQ-abs') ).

fof(f447,plain,
    ( spl18_22
    | ~ spl18_10
    | ~ spl18_16
    | ~ spl18_19
    | ~ spl18_21 ),
    inference(avatar_split_clause,[],[f442,f404,f389,f367,f308,f444]) ).

fof(f308,plain,
    ( spl18_10
  <=> sP0(sK4,sK7,vabs(sK5,sK6,veabs)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_10])]) ).

fof(f389,plain,
    ( spl18_19
  <=> sK6 = sK13(sK4,sK7,vabs(sK5,sK6,veabs)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_19])]) ).

fof(f404,plain,
    ( spl18_21
  <=> veabs = sK12(sK4,sK7,vabs(sK5,sK6,veabs)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_21])]) ).

fof(f442,plain,
    ( vtcheck(vbind(sK5,sK6,sK4),veabs,sK14(sK4,sK7,vabs(sK5,sK6,veabs)))
    | ~ spl18_10
    | ~ spl18_16
    | ~ spl18_19
    | ~ spl18_21 ),
    inference(forward_demodulation,[],[f441,f369]) ).

fof(f369,plain,
    ( sK5 = sK11(sK4,sK7,vabs(sK5,sK6,veabs))
    | ~ spl18_16 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f441,plain,
    ( vtcheck(vbind(sK11(sK4,sK7,vabs(sK5,sK6,veabs)),sK6,sK4),veabs,sK14(sK4,sK7,vabs(sK5,sK6,veabs)))
    | ~ spl18_10
    | ~ spl18_19
    | ~ spl18_21 ),
    inference(forward_demodulation,[],[f440,f391]) ).

fof(f391,plain,
    ( sK6 = sK13(sK4,sK7,vabs(sK5,sK6,veabs))
    | ~ spl18_19 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f440,plain,
    ( vtcheck(vbind(sK11(sK4,sK7,vabs(sK5,sK6,veabs)),sK13(sK4,sK7,vabs(sK5,sK6,veabs)),sK4),veabs,sK14(sK4,sK7,vabs(sK5,sK6,veabs)))
    | ~ spl18_10
    | ~ spl18_21 ),
    inference(forward_demodulation,[],[f439,f406]) ).

fof(f406,plain,
    ( veabs = sK12(sK4,sK7,vabs(sK5,sK6,veabs))
    | ~ spl18_21 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f439,plain,
    ( vtcheck(vbind(sK11(sK4,sK7,vabs(sK5,sK6,veabs)),sK13(sK4,sK7,vabs(sK5,sK6,veabs)),sK4),sK12(sK4,sK7,vabs(sK5,sK6,veabs)),sK14(sK4,sK7,vabs(sK5,sK6,veabs)))
    | ~ spl18_10 ),
    inference(resolution,[],[f165,f310]) ).

fof(f310,plain,
    ( sP0(sK4,sK7,vabs(sK5,sK6,veabs))
    | ~ spl18_10 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f165,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X0,X1,X2)
      | vtcheck(vbind(sK11(X0,X1,X2),sK13(X0,X1,X2),X0),sK12(X0,X1,X2),sK14(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0,X1,X2] :
      ( ( vtcheck(vbind(sK11(X0,X1,X2),sK13(X0,X1,X2),X0),sK12(X0,X1,X2),sK14(X0,X1,X2))
        & varrow(sK13(X0,X1,X2),sK14(X0,X1,X2)) = X1
        & vabs(sK11(X0,X1,X2),sK13(X0,X1,X2),sK12(X0,X1,X2)) = X2 )
      | ~ sP0(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14])],[f131,f132]) ).

fof(f132,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(sK11(X0,X1,X2),sK13(X0,X1,X2),X0),sK12(X0,X1,X2),sK14(X0,X1,X2))
        & varrow(sK13(X0,X1,X2),sK14(X0,X1,X2)) = X1
        & vabs(sK11(X0,X1,X2),sK13(X0,X1,X2),sK12(X0,X1,X2)) = X2 ) ),
    introduced(choice_axiom,[]) ).

fof(f131,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,[],[f130]) ).

fof(f130,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,[],[f121]) ).

fof(f121,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(f407,plain,
    ( spl18_21
    | ~ spl18_13 ),
    inference(avatar_split_clause,[],[f402,f331,f404]) ).

fof(f402,plain,
    ( veabs = sK12(sK4,sK7,vabs(sK5,sK6,veabs))
    | ~ spl18_13 ),
    inference(equality_resolution,[],[f350]) ).

fof(f350,plain,
    ( ! [X2,X0,X1] :
        ( vabs(X0,X1,X2) != vabs(sK5,sK6,veabs)
        | sK12(sK4,sK7,vabs(sK5,sK6,veabs)) = X2 )
    | ~ spl18_13 ),
    inference(superposition,[],[f143,f333]) ).

fof(f143,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( vabs(X0,X1,X2) != vabs(X3,X4,X5)
      | X2 = X5 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f399,plain,
    ( spl18_20
    | ~ spl18_14
    | ~ spl18_19 ),
    inference(avatar_split_clause,[],[f394,f389,f336,f396]) ).

fof(f336,plain,
    ( spl18_14
  <=> sK7 = varrow(sK13(sK4,sK7,vabs(sK5,sK6,veabs)),sK14(sK4,sK7,vabs(sK5,sK6,veabs))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_14])]) ).

fof(f394,plain,
    ( sK7 = varrow(sK6,sK14(sK4,sK7,vabs(sK5,sK6,veabs)))
    | ~ spl18_14
    | ~ spl18_19 ),
    inference(backward_demodulation,[],[f338,f391]) ).

fof(f338,plain,
    ( sK7 = varrow(sK13(sK4,sK7,vabs(sK5,sK6,veabs)),sK14(sK4,sK7,vabs(sK5,sK6,veabs)))
    | ~ spl18_14 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f392,plain,
    ( spl18_19
    | ~ spl18_13 ),
    inference(avatar_split_clause,[],[f387,f331,f389]) ).

fof(f387,plain,
    ( sK6 = sK13(sK4,sK7,vabs(sK5,sK6,veabs))
    | ~ spl18_13 ),
    inference(equality_resolution,[],[f348]) ).

fof(f348,plain,
    ( ! [X2,X0,X1] :
        ( vabs(X0,X1,X2) != vabs(sK5,sK6,veabs)
        | sK13(sK4,sK7,vabs(sK5,sK6,veabs)) = X1 )
    | ~ spl18_13 ),
    inference(superposition,[],[f142,f333]) ).

fof(f142,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( vabs(X0,X1,X2) != vabs(X3,X4,X5)
      | X1 = X4 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f339,plain,
    ( spl18_14
    | ~ spl18_10 ),
    inference(avatar_split_clause,[],[f329,f308,f336]) ).

fof(f329,plain,
    ( sK7 = varrow(sK13(sK4,sK7,vabs(sK5,sK6,veabs)),sK14(sK4,sK7,vabs(sK5,sK6,veabs)))
    | ~ spl18_10 ),
    inference(resolution,[],[f310,f164]) ).

fof(f164,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X0,X1,X2)
      | varrow(sK13(X0,X1,X2),sK14(X0,X1,X2)) = X1 ),
    inference(cnf_transformation,[],[f133]) ).

fof(f334,plain,
    ( spl18_13
    | ~ spl18_10 ),
    inference(avatar_split_clause,[],[f328,f308,f331]) ).

fof(f328,plain,
    ( vabs(sK5,sK6,veabs) = vabs(sK11(sK4,sK7,vabs(sK5,sK6,veabs)),sK13(sK4,sK7,vabs(sK5,sK6,veabs)),sK12(sK4,sK7,vabs(sK5,sK6,veabs)))
    | ~ spl18_10 ),
    inference(resolution,[],[f310,f163]) ).

fof(f163,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X0,X1,X2)
      | vabs(sK11(X0,X1,X2),sK13(X0,X1,X2),sK12(X0,X1,X2)) = X2 ),
    inference(cnf_transformation,[],[f133]) ).

fof(f322,plain,
    ~ spl18_9,
    inference(avatar_contradiction_clause,[],[f321]) ).

fof(f321,plain,
    ( $false
    | ~ spl18_9 ),
    inference(subsumption_resolution,[],[f314,f151]) ).

fof(f151,plain,
    ! [X2,X3,X0,X1,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,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.zIHU5AudXY/Vampire---4.8_17113','DIFF-abs-app') ).

fof(f314,plain,
    ( vabs(sK5,sK6,veabs) = vapp(sK8(sK4,sK7,vabs(sK5,sK6,veabs)),sK9(sK4,sK7,vabs(sK5,sK6,veabs)))
    | ~ spl18_9 ),
    inference(resolution,[],[f306,f160]) ).

fof(f160,plain,
    ! [X2,X0,X1] :
      ( ~ sP1(X0,X1,X2)
      | vapp(sK8(X0,X1,X2),sK9(X0,X1,X2)) = X2 ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0,X1,X2] :
      ( ( vtcheck(X0,sK9(X0,X1,X2),sK10(X0,X1,X2))
        & vtcheck(X0,sK8(X0,X1,X2),varrow(sK10(X0,X1,X2),X1))
        & vapp(sK8(X0,X1,X2),sK9(X0,X1,X2)) = X2 )
      | ~ sP1(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f127,f128]) ).

fof(f128,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( vtcheck(X0,X4,X5)
          & vtcheck(X0,X3,varrow(X5,X1))
          & vapp(X3,X4) = X2 )
     => ( vtcheck(X0,sK9(X0,X1,X2),sK10(X0,X1,X2))
        & vtcheck(X0,sK8(X0,X1,X2),varrow(sK10(X0,X1,X2),X1))
        & vapp(sK8(X0,X1,X2),sK9(X0,X1,X2)) = X2 ) ),
    introduced(choice_axiom,[]) ).

fof(f127,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,[],[f126]) ).

fof(f126,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,[],[f122]) ).

fof(f122,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(f306,plain,
    ( sP1(sK4,sK7,vabs(sK5,sK6,veabs))
    | ~ spl18_9 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f304,plain,
    ( spl18_9
  <=> sP1(sK4,sK7,vabs(sK5,sK6,veabs)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_9])]) ).

fof(f311,plain,
    ( spl18_9
    | spl18_10
    | ~ spl18_2 ),
    inference(avatar_split_clause,[],[f302,f233,f308,f304]) ).

fof(f233,plain,
    ( spl18_2
  <=> vtcheck(sK4,vabs(sK5,sK6,veabs),sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).

fof(f302,plain,
    ( sP0(sK4,sK7,vabs(sK5,sK6,veabs))
    | sP1(sK4,sK7,vabs(sK5,sK6,veabs))
    | ~ spl18_2 ),
    inference(subsumption_resolution,[],[f299,f152]) ).

fof(f152,plain,
    ! [X2,X3,X0,X1] : vvar(X0) != vabs(X1,X2,X3),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1,X2,X3] : vvar(X0) != vabs(X1,X2,X3),
    file('/export/starexec/sandbox/tmp/tmp.zIHU5AudXY/Vampire---4.8_17113','DIFF-var-abs') ).

fof(f299,plain,
    ( sP0(sK4,sK7,vabs(sK5,sK6,veabs))
    | vabs(sK5,sK6,veabs) = vvar(sK15(vabs(sK5,sK6,veabs),sK7,sK4))
    | sP1(sK4,sK7,vabs(sK5,sK6,veabs))
    | ~ spl18_2 ),
    inference(resolution,[],[f166,f235]) ).

fof(f235,plain,
    ( vtcheck(sK4,vabs(sK5,sK6,veabs),sK7)
    | ~ spl18_2 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f166,plain,
    ! [X2,X0,X1] :
      ( ~ vtcheck(X2,X0,X1)
      | sP0(X2,X1,X0)
      | vvar(sK15(X0,X1,X2)) = X0
      | sP1(X2,X1,X0) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0,X1,X2] :
      ( sP1(X2,X1,X0)
      | sP0(X2,X1,X0)
      | ( vsomeType(X1) = vlookup(sK15(X0,X1,X2),X2)
        & vvar(sK15(X0,X1,X2)) = X0 )
      | ~ vtcheck(X2,X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f134,f135]) ).

fof(f135,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( vsomeType(X1) = vlookup(X3,X2)
          & vvar(X3) = X0 )
     => ( vsomeType(X1) = vlookup(sK15(X0,X1,X2),X2)
        & vvar(sK15(X0,X1,X2)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f134,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,[],[f123]) ).

fof(f123,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,[],[f104,f122,f121]) ).

fof(f104,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,[],[f103]) ).

fof(f103,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,[],[f72]) ).

fof(f72,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.zIHU5AudXY/Vampire---4.8_17113','T-inv') ).

fof(f279,plain,
    ( sK2 != sK5
    | ~ sP16(sK5)
    | sP16(sK2) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f278,plain,
    ( spl18_7
    | ~ spl18_8
    | spl18_3 ),
    inference(avatar_split_clause,[],[f267,f238,f275,f271]) ).

fof(f238,plain,
    ( spl18_3
  <=> visFreeVar(sK2,vabs(sK5,sK6,veabs)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_3])]) ).

fof(f267,plain,
    ( ~ visFreeVar(sK2,veabs)
    | sK2 = sK5
    | spl18_3 ),
    inference(resolution,[],[f204,f240]) ).

fof(f240,plain,
    ( ~ visFreeVar(sK2,vabs(sK5,sK6,veabs))
    | spl18_3 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f204,plain,
    ! [X3,X0,X4,X5] :
      ( visFreeVar(X4,vabs(X3,X0,X5))
      | ~ visFreeVar(X4,X5)
      | X3 = X4 ),
    inference(equality_resolution,[],[f203]) ).

fof(f203,plain,
    ! [X3,X0,X1,X4,X5] :
      ( visFreeVar(X1,vabs(X3,X0,X5))
      | ~ visFreeVar(X4,X5)
      | X3 = X4
      | X1 != X4 ),
    inference(equality_resolution,[],[f148]) ).

fof(f148,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( visFreeVar(X1,X2)
      | ~ visFreeVar(X4,X5)
      | X3 = X4
      | vabs(X3,X0,X5) != X2
      | X1 != X4 ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( ( ( visFreeVar(X4,X5)
            & X3 != X4 )
          | ~ visFreeVar(X1,X2) )
        & ( visFreeVar(X1,X2)
          | ~ visFreeVar(X4,X5)
          | X3 = X4 ) )
      | vabs(X3,X0,X5) != X2
      | X1 != X4 ),
    inference(flattening,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( ( ( visFreeVar(X4,X5)
            & X3 != X4 )
          | ~ visFreeVar(X1,X2) )
        & ( visFreeVar(X1,X2)
          | ~ visFreeVar(X4,X5)
          | X3 = X4 ) )
      | vabs(X3,X0,X5) != X2
      | X1 != X4 ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( vabs(X3,X0,X5) = X2
        & X1 = X4 )
     => ( ( visFreeVar(X1,X2)
         => ( visFreeVar(X4,X5)
            & X3 != X4 ) )
        & ( ( visFreeVar(X4,X5)
            & X3 != X4 )
         => visFreeVar(X1,X2) ) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X14,X0,X3,X8,X13,X10] :
      ( ( vabs(X8,X14,X10) = X3
        & X0 = X13 )
     => ( ( visFreeVar(X0,X3)
         => ( visFreeVar(X13,X10)
            & X8 != X13 ) )
        & ( ( visFreeVar(X13,X10)
            & X8 != X13 )
         => visFreeVar(X0,X3) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.zIHU5AudXY/Vampire---4.8_17113',isFreeVar1) ).

fof(f256,plain,
    ~ spl18_6,
    inference(avatar_split_clause,[],[f180,f253]) ).

fof(f253,plain,
    ( spl18_6
  <=> sP16(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_6])]) ).

fof(f180,plain,
    ~ sP16(sK2),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP16])]) ).

fof(f246,plain,
    spl18_4,
    inference(avatar_split_clause,[],[f181,f243]) ).

fof(f243,plain,
    ( spl18_4
  <=> sP16(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_4])]) ).

fof(f181,plain,
    sP16(sK5),
    inference(inequality_splitting,[],[f137,f180]) ).

fof(f137,plain,
    sK2 != sK5,
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ( ~ vtcheck(vbind(sK2,sK3,sK4),vabs(sK5,sK6,veabs),sK7)
    & vtcheck(sK4,vabs(sK5,sK6,veabs),sK7)
    & ~ visFreeVar(sK2,vabs(sK5,sK6,veabs))
    & sK2 != sK5 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7])],[f84,f124]) ).

fof(f124,plain,
    ( ? [X0,X1,X2,X3,X4,X5] :
        ( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
        & vtcheck(X2,vabs(X3,X4,veabs),X5)
        & ~ visFreeVar(X0,vabs(X3,X4,veabs))
        & X0 != X3 )
   => ( ~ vtcheck(vbind(sK2,sK3,sK4),vabs(sK5,sK6,veabs),sK7)
      & vtcheck(sK4,vabs(sK5,sK6,veabs),sK7)
      & ~ visFreeVar(sK2,vabs(sK5,sK6,veabs))
      & sK2 != sK5 ) ),
    introduced(choice_axiom,[]) ).

fof(f84,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      & vtcheck(X2,vabs(X3,X4,veabs),X5)
      & ~ visFreeVar(X0,vabs(X3,X4,veabs))
      & X0 != X3 ),
    inference(flattening,[],[f83]) ).

fof(f83,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      & vtcheck(X2,vabs(X3,X4,veabs),X5)
      & ~ visFreeVar(X0,vabs(X3,X4,veabs))
      & X0 != X3 ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ~ ! [X0,X1,X2,X3,X4,X5] :
        ( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
          & ~ visFreeVar(X0,vabs(X3,X4,veabs))
          & X0 != X3 )
       => vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
    inference(rectify,[],[f59]) ).

fof(f59,negated_conjecture,
    ~ ! [X8,X9,X19,X20,X34,X14] :
        ( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
          & ~ visFreeVar(X8,vabs(X20,X34,veabs))
          & X8 != X20 )
       => vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
    inference(negated_conjecture,[],[f58]) ).

fof(f58,conjecture,
    ! [X8,X9,X19,X20,X34,X14] :
      ( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
        & ~ visFreeVar(X8,vabs(X20,X34,veabs))
        & X8 != X20 )
     => vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
    file('/export/starexec/sandbox/tmp/tmp.zIHU5AudXY/Vampire---4.8_17113','T-Weak-FreeVar-abs-1') ).

fof(f241,plain,
    ~ spl18_3,
    inference(avatar_split_clause,[],[f138,f238]) ).

fof(f138,plain,
    ~ visFreeVar(sK2,vabs(sK5,sK6,veabs)),
    inference(cnf_transformation,[],[f125]) ).

fof(f236,plain,
    spl18_2,
    inference(avatar_split_clause,[],[f139,f233]) ).

fof(f139,plain,
    vtcheck(sK4,vabs(sK5,sK6,veabs),sK7),
    inference(cnf_transformation,[],[f125]) ).

fof(f231,plain,
    ~ spl18_1,
    inference(avatar_split_clause,[],[f140,f228]) ).

fof(f140,plain,
    ~ vtcheck(vbind(sK2,sK3,sK4),vabs(sK5,sK6,veabs),sK7),
    inference(cnf_transformation,[],[f125]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : COM123+1 : TPTP v8.1.2. Released v6.4.0.
% 0.06/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n021.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 21:25:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.zIHU5AudXY/Vampire---4.8_17113
% 0.56/0.76  % (17221)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)
% 0.56/0.76  % (17227)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)
% 0.56/0.76  % (17223)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76  % (17224)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)
% 0.56/0.76  % (17225)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)
% 0.56/0.76  % (17222)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)
% 0.56/0.76  % (17226)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)
% 0.56/0.76  % (17228)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)
% 0.56/0.76  % (17226)Refutation not found, incomplete strategy% (17226)------------------------------
% 0.56/0.76  % (17226)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (17226)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (17226)Memory used [KB]: 1084
% 0.56/0.76  % (17226)Time elapsed: 0.003 s
% 0.56/0.76  % (17226)Instructions burned: 4 (million)
% 0.56/0.76  % (17228)Refutation not found, incomplete strategy% (17228)------------------------------
% 0.56/0.76  % (17228)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (17226)------------------------------
% 0.56/0.76  % (17226)------------------------------
% 0.56/0.76  % (17228)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (17228)Memory used [KB]: 1091
% 0.56/0.76  % (17228)Time elapsed: 0.003 s
% 0.56/0.76  % (17228)Instructions burned: 4 (million)
% 0.56/0.76  % (17223)Refutation not found, incomplete strategy% (17223)------------------------------
% 0.56/0.76  % (17223)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (17223)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (17228)------------------------------
% 0.56/0.76  % (17228)------------------------------
% 0.56/0.76  % (17223)Memory used [KB]: 1136
% 0.56/0.76  % (17223)Time elapsed: 0.004 s
% 0.56/0.76  % (17223)Instructions burned: 5 (million)
% 0.56/0.76  % (17223)------------------------------
% 0.56/0.76  % (17223)------------------------------
% 0.56/0.76  % (17229)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)
% 0.56/0.76  % (17230)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)
% 0.56/0.76  % (17231)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)
% 0.56/0.77  % (17221)Instruction limit reached!
% 0.56/0.77  % (17221)------------------------------
% 0.56/0.77  % (17221)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77  % (17221)Termination reason: Unknown
% 0.56/0.77  % (17221)Termination phase: Saturation
% 0.56/0.77  
% 0.56/0.77  % (17221)Memory used [KB]: 1355
% 0.56/0.77  % (17221)Time elapsed: 0.013 s
% 0.56/0.77  % (17221)Instructions burned: 34 (million)
% 0.56/0.77  % (17221)------------------------------
% 0.56/0.77  % (17221)------------------------------
% 0.56/0.77  % (17232)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)
% 0.56/0.77  % (17225)Instruction limit reached!
% 0.56/0.77  % (17225)------------------------------
% 0.56/0.77  % (17225)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77  % (17225)Termination reason: Unknown
% 0.56/0.77  % (17225)Termination phase: Saturation
% 0.56/0.77  
% 0.56/0.77  % (17225)Memory used [KB]: 1589
% 0.56/0.77  % (17225)Time elapsed: 0.017 s
% 0.56/0.77  % (17225)Instructions burned: 34 (million)
% 0.56/0.77  % (17225)------------------------------
% 0.56/0.77  % (17225)------------------------------
% 0.56/0.77  % (17224)Instruction limit reached!
% 0.56/0.77  % (17224)------------------------------
% 0.56/0.77  % (17224)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77  % (17224)Termination reason: Unknown
% 0.56/0.77  % (17224)Termination phase: Saturation
% 0.56/0.77  
% 0.56/0.77  % (17224)Memory used [KB]: 1637
% 0.56/0.77  % (17224)Time elapsed: 0.019 s
% 0.56/0.77  % (17224)Instructions burned: 34 (million)
% 0.56/0.77  % (17224)------------------------------
% 0.56/0.77  % (17224)------------------------------
% 0.56/0.78  % (17233)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.56/0.78  % (17234)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)
% 0.56/0.78  % (17222)Instruction limit reached!
% 0.56/0.78  % (17222)------------------------------
% 0.56/0.78  % (17222)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78  % (17222)Termination reason: Unknown
% 0.56/0.78  % (17222)Termination phase: Saturation
% 0.56/0.78  
% 0.56/0.78  % (17222)Memory used [KB]: 1736
% 0.56/0.78  % (17222)Time elapsed: 0.026 s
% 0.56/0.78  % (17222)Instructions burned: 52 (million)
% 0.56/0.78  % (17222)------------------------------
% 0.56/0.78  % (17222)------------------------------
% 0.56/0.78  % (17233)Refutation not found, incomplete strategy% (17233)------------------------------
% 0.56/0.78  % (17233)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78  % (17233)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.78  
% 0.56/0.78  % (17233)Memory used [KB]: 1361
% 0.56/0.78  % (17233)Time elapsed: 0.008 s
% 0.56/0.78  % (17233)Instructions burned: 15 (million)
% 0.56/0.78  % (17233)------------------------------
% 0.56/0.78  % (17233)------------------------------
% 0.56/0.78  % (17230)Instruction limit reached!
% 0.56/0.78  % (17230)------------------------------
% 0.56/0.78  % (17230)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78  % (17230)Termination reason: Unknown
% 0.56/0.78  % (17230)Termination phase: Saturation
% 0.56/0.78  
% 0.56/0.78  % (17230)Memory used [KB]: 1808
% 0.56/0.78  % (17230)Time elapsed: 0.024 s
% 0.56/0.78  % (17230)Instructions burned: 51 (million)
% 0.56/0.78  % (17230)------------------------------
% 0.56/0.78  % (17230)------------------------------
% 0.56/0.79  % (17232)Instruction limit reached!
% 0.56/0.79  % (17232)------------------------------
% 0.56/0.79  % (17232)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.79  % (17232)Termination reason: Unknown
% 0.56/0.79  % (17232)Termination phase: Saturation
% 0.56/0.79  
% 0.56/0.79  % (17232)Memory used [KB]: 1709
% 0.56/0.79  % (17232)Time elapsed: 0.016 s
% 0.56/0.79  % (17232)Instructions burned: 53 (million)
% 0.56/0.79  % (17232)------------------------------
% 0.56/0.79  % (17232)------------------------------
% 0.71/0.79  % (17236)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)
% 0.71/0.79  % (17237)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)
% 0.71/0.79  % (17235)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)
% 0.71/0.79  % (17229)Instruction limit reached!
% 0.71/0.79  % (17229)------------------------------
% 0.71/0.79  % (17229)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.79  % (17229)Termination reason: Unknown
% 0.71/0.79  % (17229)Termination phase: Saturation
% 0.71/0.79  
% 0.71/0.79  % (17229)Memory used [KB]: 1884
% 0.71/0.79  % (17229)Time elapsed: 0.029 s
% 0.71/0.79  % (17229)Instructions burned: 56 (million)
% 0.71/0.79  % (17229)------------------------------
% 0.71/0.79  % (17229)------------------------------
% 0.71/0.79  % (17236)Refutation not found, incomplete strategy% (17236)------------------------------
% 0.71/0.79  % (17236)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.79  % (17236)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.79  
% 0.71/0.79  % (17236)Memory used [KB]: 1143
% 0.71/0.79  % (17236)Time elapsed: 0.004 s
% 0.71/0.79  % (17236)Instructions burned: 5 (million)
% 0.71/0.79  % (17236)------------------------------
% 0.71/0.79  % (17236)------------------------------
% 0.71/0.79  % (17227)Instruction limit reached!
% 0.71/0.79  % (17227)------------------------------
% 0.71/0.79  % (17227)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.79  % (17227)Termination reason: Unknown
% 0.71/0.79  % (17227)Termination phase: Saturation
% 0.71/0.79  
% 0.71/0.79  % (17227)Memory used [KB]: 2317
% 0.71/0.79  % (17227)Time elapsed: 0.037 s
% 0.71/0.79  % (17227)Instructions burned: 84 (million)
% 0.71/0.79  % (17227)------------------------------
% 0.71/0.79  % (17227)------------------------------
% 0.71/0.79  % (17239)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)
% 0.71/0.79  % (17238)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)
% 0.71/0.79  % (17240)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)
% 0.71/0.80  % (17234)Instruction limit reached!
% 0.71/0.80  % (17234)------------------------------
% 0.71/0.80  % (17234)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.80  % (17234)Termination reason: Unknown
% 0.71/0.80  % (17234)Termination phase: Property scanning
% 0.71/0.80  
% 0.71/0.80  % (17234)Memory used [KB]: 6987
% 0.71/0.80  % (17234)Time elapsed: 0.020 s
% 0.71/0.80  % (17234)Instructions burned: 42 (million)
% 0.71/0.80  % (17234)------------------------------
% 0.71/0.80  % (17234)------------------------------
% 0.71/0.80  % (17242)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)
% 0.71/0.81  % (17240)Instruction limit reached!
% 0.71/0.81  % (17240)------------------------------
% 0.71/0.81  % (17240)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.81  % (17240)Termination reason: Unknown
% 0.71/0.81  % (17240)Termination phase: Saturation
% 0.71/0.81  
% 0.71/0.81  % (17240)Memory used [KB]: 1370
% 0.71/0.81  % (17240)Time elapsed: 0.012 s
% 0.71/0.81  % (17240)Instructions burned: 32 (million)
% 0.71/0.81  % (17240)------------------------------
% 0.71/0.81  % (17240)------------------------------
% 0.71/0.81  % (17243)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)
% 0.71/0.81  % (17241)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)
% 0.71/0.82  % (17239)Instruction limit reached!
% 0.71/0.82  % (17239)------------------------------
% 0.71/0.82  % (17239)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.82  % (17239)Termination reason: Unknown
% 0.71/0.82  % (17239)Termination phase: NewCNF
% 0.71/0.82  
% 0.71/0.82  % (17239)Memory used [KB]: 7361
% 0.71/0.82  % (17239)Time elapsed: 0.031 s
% 0.71/0.82  % (17239)Instructions burned: 64 (million)
% 0.71/0.82  % (17239)------------------------------
% 0.71/0.82  % (17239)------------------------------
% 0.71/0.82  % (17242)Instruction limit reached!
% 0.71/0.82  % (17242)------------------------------
% 0.71/0.82  % (17242)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.82  % (17242)Termination reason: Unknown
% 0.71/0.82  % (17242)Termination phase: Saturation
% 0.71/0.82  
% 0.71/0.82  % (17242)Memory used [KB]: 1950
% 0.71/0.82  % (17242)Time elapsed: 0.026 s
% 0.71/0.82  % (17242)Instructions burned: 56 (million)
% 0.71/0.82  % (17242)------------------------------
% 0.71/0.82  % (17242)------------------------------
% 0.71/0.83  % (17245)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 (2995ds/102Mi)
% 0.71/0.83  % (17244)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)
% 0.71/0.83  % (17243)Instruction limit reached!
% 0.71/0.83  % (17243)------------------------------
% 0.71/0.83  % (17243)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.83  % (17243)Termination reason: Unknown
% 0.71/0.83  % (17243)Termination phase: Saturation
% 0.71/0.83  
% 0.71/0.83  % (17243)Memory used [KB]: 1935
% 0.71/0.83  % (17243)Time elapsed: 0.024 s
% 0.71/0.83  % (17243)Instructions burned: 54 (million)
% 0.71/0.83  % (17243)------------------------------
% 0.71/0.83  % (17243)------------------------------
% 0.71/0.84  % (17238)Instruction limit reached!
% 0.71/0.84  % (17238)------------------------------
% 0.71/0.84  % (17238)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.84  % (17238)Termination reason: Unknown
% 0.71/0.84  % (17238)Termination phase: Saturation
% 0.71/0.84  
% 0.71/0.84  % (17238)Memory used [KB]: 2063
% 0.71/0.84  % (17238)Time elapsed: 0.045 s
% 0.71/0.84  % (17238)Instructions burned: 94 (million)
% 0.71/0.84  % (17238)------------------------------
% 0.71/0.84  % (17238)------------------------------
% 0.71/0.84  % (17247)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.71/0.84  % (17245)First to succeed.
% 0.71/0.85  % (17237)Instruction limit reached!
% 0.71/0.85  % (17237)------------------------------
% 0.71/0.85  % (17237)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.85  % (17237)Termination reason: Unknown
% 0.71/0.85  % (17237)Termination phase: Saturation
% 0.71/0.85  
% 0.71/0.85  % (17237)Memory used [KB]: 1878
% 0.71/0.85  % (17237)Time elapsed: 0.059 s
% 0.71/0.85  % (17237)Instructions burned: 143 (million)
% 0.71/0.85  % (17237)------------------------------
% 0.71/0.85  % (17237)------------------------------
% 0.71/0.85  % (17245)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17220"
% 0.71/0.85  % (17245)Refutation found. Thanks to Tanya!
% 0.71/0.85  % SZS status Theorem for Vampire---4
% 0.71/0.85  % SZS output start Proof for Vampire---4
% See solution above
% 0.71/0.85  % (17245)------------------------------
% 0.71/0.85  % (17245)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.85  % (17245)Termination reason: Refutation
% 0.71/0.85  
% 0.71/0.85  % (17245)Memory used [KB]: 1365
% 0.71/0.85  % (17245)Time elapsed: 0.021 s
% 0.71/0.85  % (17245)Instructions burned: 37 (million)
% 0.71/0.85  % (17220)Success in time 0.47 s
% 0.71/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------