TSTP Solution File: KRS112+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS112+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n002.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 07:17:54 EDT 2024

% Result   : Unsatisfiable 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  108 (   4 unt;   0 def)
%            Number of atoms       :  337 (  20 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  368 ( 139   ~; 129   |;  64   &)
%                                         (  20 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   19 (  17 usr;   7 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-1 aty)
%            Number of variables   :  167 ( 136   !;  31   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f333,plain,
    $false,
    inference(avatar_sat_refutation,[],[f258,f264,f280,f282,f286,f296,f332]) ).

fof(f332,plain,
    ( ~ spl6_4
    | ~ spl6_3
    | ~ spl6_6 ),
    inference(avatar_split_clause,[],[f331,f288,f261,f273]) ).

fof(f273,plain,
    ( spl6_4
  <=> cUnsatisfiable(i2003_11_14_17_21_19256) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

fof(f261,plain,
    ( spl6_3
  <=> rs(i2003_11_14_17_21_19256,sK0(i2003_11_14_17_21_19256)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

fof(f288,plain,
    ( spl6_6
  <=> cpxcomp(sK1(i2003_11_14_17_21_19256)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).

fof(f331,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
    | ~ spl6_3
    | ~ spl6_6 ),
    inference(resolution,[],[f311,f168]) ).

fof(f168,plain,
    ! [X0] :
      ( cp(sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ cp(X1)
            | ~ rf(X0,X1) )
        | ! [X2] :
            ( ~ ca_Ax2(X2)
            | ~ rf1(X0,X2) ) )
      & ( ( cp(sK0(X0))
          & rf(X0,sK0(X0))
          & ca_Ax2(sK1(X0))
          & rf1(X0,sK1(X0)) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f114,f116,f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ? [X3] :
          ( cp(X3)
          & rf(X0,X3) )
     => ( cp(sK0(X0))
        & rf(X0,sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f116,plain,
    ! [X0] :
      ( ? [X4] :
          ( ca_Ax2(X4)
          & rf1(X0,X4) )
     => ( ca_Ax2(sK1(X0))
        & rf1(X0,sK1(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f114,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ cp(X1)
            | ~ rf(X0,X1) )
        | ! [X2] :
            ( ~ ca_Ax2(X2)
            | ~ rf1(X0,X2) ) )
      & ( ( ? [X3] :
              ( cp(X3)
              & rf(X0,X3) )
          & ? [X4] :
              ( ca_Ax2(X4)
              & rf1(X0,X4) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(rectify,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ cp(X1)
            | ~ rf(X0,X1) )
        | ! [X2] :
            ( ~ ca_Ax2(X2)
            | ~ rf1(X0,X2) ) )
      & ( ( ? [X1] :
              ( cp(X1)
              & rf(X0,X1) )
          & ? [X2] :
              ( ca_Ax2(X2)
              & rf1(X0,X2) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(flattening,[],[f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ cp(X1)
            | ~ rf(X0,X1) )
        | ! [X2] :
            ( ~ ca_Ax2(X2)
            | ~ rf1(X0,X2) ) )
      & ( ( ? [X1] :
              ( cp(X1)
              & rf(X0,X1) )
          & ? [X2] :
              ( ca_Ax2(X2)
              & rf1(X0,X2) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( cp(X1)
            & rf(X0,X1) )
        & ? [X2] :
            ( ca_Ax2(X2)
            & rf1(X0,X2) ) ) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X3] :
      ( cUnsatisfiable(X3)
    <=> ( ? [X4] :
            ( cp(X4)
            & rf(X3,X4) )
        & ? [X4] :
            ( ca_Ax2(X4)
            & rf1(X3,X4) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.zFLLRAFTB5/Vampire---4.8_311',axiom_2) ).

fof(f311,plain,
    ( ~ cp(sK0(i2003_11_14_17_21_19256))
    | ~ spl6_3
    | ~ spl6_6 ),
    inference(superposition,[],[f297,f306]) ).

fof(f306,plain,
    ( sK0(i2003_11_14_17_21_19256) = sK1(i2003_11_14_17_21_19256)
    | ~ spl6_3 ),
    inference(resolution,[],[f305,f263]) ).

fof(f263,plain,
    ( rs(i2003_11_14_17_21_19256,sK0(i2003_11_14_17_21_19256))
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f305,plain,
    ! [X0] :
      ( ~ rs(i2003_11_14_17_21_19256,X0)
      | sK1(i2003_11_14_17_21_19256) = X0 ),
    inference(resolution,[],[f303,f192]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( rf1(X0,X1)
      | ~ rs(X0,X1) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( rf1(X0,X1)
      | ~ rs(X0,X1) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( rs(X0,X1)
     => rf1(X0,X1) ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X3,X4] :
      ( rs(X3,X4)
     => rf1(X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.zFLLRAFTB5/Vampire---4.8_311',axiom_15) ).

fof(f303,plain,
    ! [X0] :
      ( ~ rf1(i2003_11_14_17_21_19256,X0)
      | sK1(i2003_11_14_17_21_19256) = X0 ),
    inference(resolution,[],[f240,f190]) ).

fof(f190,plain,
    cUnsatisfiable(i2003_11_14_17_21_19256),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,axiom,
    cUnsatisfiable(i2003_11_14_17_21_19256),
    file('/export/starexec/sandbox/tmp/tmp.zFLLRAFTB5/Vampire---4.8_311',axiom_13) ).

fof(f240,plain,
    ! [X0,X1] :
      ( ~ cUnsatisfiable(X1)
      | ~ rf1(X1,X0)
      | sK1(X1) = X0 ),
    inference(resolution,[],[f182,f165]) ).

fof(f165,plain,
    ! [X0] :
      ( rf1(X0,sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f182,plain,
    ! [X2,X0,X1] :
      ( ~ rf1(X0,X2)
      | X1 = X2
      | ~ rf1(X0,X1) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rf1(X0,X2)
      | ~ rf1(X0,X1) ),
    inference(flattening,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rf1(X0,X2)
      | ~ rf1(X0,X1) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( ( rf1(X0,X2)
        & rf1(X0,X1) )
     => X1 = X2 ),
    inference(rectify,[],[f32]) ).

fof(f32,axiom,
    ! [X3,X4,X6] :
      ( ( rf1(X3,X6)
        & rf1(X3,X4) )
     => X4 = X6 ),
    file('/export/starexec/sandbox/tmp/tmp.zFLLRAFTB5/Vampire---4.8_311',axiom_8) ).

fof(f297,plain,
    ( ~ cp(sK1(i2003_11_14_17_21_19256))
    | ~ spl6_6 ),
    inference(resolution,[],[f289,f221]) ).

fof(f221,plain,
    ! [X0] :
      ( ~ cpxcomp(X0)
      | ~ cp(X0) ),
    inference(resolution,[],[f172,f170]) ).

fof(f170,plain,
    ! [X2,X0] :
      ( ~ ra_Px1(X0,X2)
      | ~ cp(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0] :
      ( ( cp(X0)
        | ra_Px1(X0,sK2(X0)) )
      & ( ! [X2] : ~ ra_Px1(X0,X2)
        | ~ cp(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f119,f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ? [X1] : ra_Px1(X0,X1)
     => ra_Px1(X0,sK2(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f119,plain,
    ! [X0] :
      ( ( cp(X0)
        | ? [X1] : ra_Px1(X0,X1) )
      & ( ! [X2] : ~ ra_Px1(X0,X2)
        | ~ cp(X0) ) ),
    inference(rectify,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ( cp(X0)
        | ? [X1] : ra_Px1(X0,X1) )
      & ( ! [X1] : ~ ra_Px1(X0,X1)
        | ~ cp(X0) ) ),
    inference(nnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( cp(X0)
    <=> ! [X1] : ~ ra_Px1(X0,X1) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( cp(X0)
    <=> ~ ? [X1] : ra_Px1(X0,X1) ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X3] :
      ( cp(X3)
    <=> ~ ? [X4] : ra_Px1(X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.zFLLRAFTB5/Vampire---4.8_311',axiom_3) ).

fof(f172,plain,
    ! [X0] :
      ( ra_Px1(X0,sK3(X0))
      | ~ cpxcomp(X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ( cpxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ra_Px1(X0,sK3(X0))
        | ~ cpxcomp(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f123,f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ? [X2] : ra_Px1(X0,X2)
     => ra_Px1(X0,sK3(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ! [X0] :
      ( ( cpxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ? [X2] : ra_Px1(X0,X2)
        | ~ cpxcomp(X0) ) ),
    inference(rectify,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( ( cpxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ? [X1] : ra_Px1(X0,X1)
        | ~ cpxcomp(X0) ) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0] :
      ( cpxcomp(X0)
    <=> ? [X1] : ra_Px1(X0,X1) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X3] :
      ( cpxcomp(X3)
    <=> ? [X5] : ra_Px1(X3,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.zFLLRAFTB5/Vampire---4.8_311',axiom_4) ).

fof(f289,plain,
    ( cpxcomp(sK1(i2003_11_14_17_21_19256))
    | ~ spl6_6 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f296,plain,
    ( spl6_6
    | ~ spl6_5 ),
    inference(avatar_split_clause,[],[f295,f277,f288]) ).

fof(f277,plain,
    ( spl6_5
  <=> ca_Ax2(sK1(i2003_11_14_17_21_19256)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

fof(f295,plain,
    ( cpxcomp(sK1(i2003_11_14_17_21_19256))
    | ~ spl6_5 ),
    inference(resolution,[],[f278,f174]) ).

fof(f174,plain,
    ! [X0] :
      ( ~ ca_Ax2(X0)
      | cpxcomp(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ( ca_Ax2(X0)
        | ( ~ ca_Vx3(sK4(X0))
          & rinvF1(X0,sK4(X0)) )
        | ~ cpxcomp(X0) )
      & ( ( ! [X2] :
              ( ca_Vx3(X2)
              | ~ rinvF1(X0,X2) )
          & cpxcomp(X0) )
        | ~ ca_Ax2(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f128,f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ ca_Vx3(X1)
          & rinvF1(X0,X1) )
     => ( ~ ca_Vx3(sK4(X0))
        & rinvF1(X0,sK4(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ! [X0] :
      ( ( ca_Ax2(X0)
        | ? [X1] :
            ( ~ ca_Vx3(X1)
            & rinvF1(X0,X1) )
        | ~ cpxcomp(X0) )
      & ( ( ! [X2] :
              ( ca_Vx3(X2)
              | ~ rinvF1(X0,X2) )
          & cpxcomp(X0) )
        | ~ ca_Ax2(X0) ) ),
    inference(rectify,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ( ca_Ax2(X0)
        | ? [X1] :
            ( ~ ca_Vx3(X1)
            & rinvF1(X0,X1) )
        | ~ cpxcomp(X0) )
      & ( ( ! [X1] :
              ( ca_Vx3(X1)
              | ~ rinvF1(X0,X1) )
          & cpxcomp(X0) )
        | ~ ca_Ax2(X0) ) ),
    inference(flattening,[],[f126]) ).

fof(f126,plain,
    ! [X0] :
      ( ( ca_Ax2(X0)
        | ? [X1] :
            ( ~ ca_Vx3(X1)
            & rinvF1(X0,X1) )
        | ~ cpxcomp(X0) )
      & ( ( ! [X1] :
              ( ca_Vx3(X1)
              | ~ rinvF1(X0,X1) )
          & cpxcomp(X0) )
        | ~ ca_Ax2(X0) ) ),
    inference(nnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( ca_Ax2(X0)
    <=> ( ! [X1] :
            ( ca_Vx3(X1)
            | ~ rinvF1(X0,X1) )
        & cpxcomp(X0) ) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ca_Ax2(X0)
    <=> ( ! [X1] :
            ( rinvF1(X0,X1)
           => ca_Vx3(X1) )
        & cpxcomp(X0) ) ),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ! [X3] :
      ( ca_Ax2(X3)
    <=> ( ! [X4] :
            ( rinvF1(X3,X4)
           => ca_Vx3(X4) )
        & cpxcomp(X3) ) ),
    file('/export/starexec/sandbox/tmp/tmp.zFLLRAFTB5/Vampire---4.8_311',axiom_5) ).

fof(f278,plain,
    ( ca_Ax2(sK1(i2003_11_14_17_21_19256))
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f286,plain,
    ( ~ spl6_4
    | spl6_5 ),
    inference(avatar_split_clause,[],[f284,f277,f273]) ).

fof(f284,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
    | spl6_5 ),
    inference(resolution,[],[f279,f166]) ).

fof(f166,plain,
    ! [X0] :
      ( ca_Ax2(sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f279,plain,
    ( ~ ca_Ax2(sK1(i2003_11_14_17_21_19256))
    | spl6_5 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f282,plain,
    spl6_4,
    inference(avatar_contradiction_clause,[],[f281]) ).

fof(f281,plain,
    ( $false
    | spl6_4 ),
    inference(resolution,[],[f275,f190]) ).

fof(f275,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
    | spl6_4 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f280,plain,
    ( ~ spl6_4
    | ~ spl6_5
    | spl6_1 ),
    inference(avatar_split_clause,[],[f270,f251,f277,f273]) ).

fof(f251,plain,
    ( spl6_1
  <=> ca_Vx3(i2003_11_14_17_21_19256) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f270,plain,
    ( ~ ca_Ax2(sK1(i2003_11_14_17_21_19256))
    | ~ cUnsatisfiable(i2003_11_14_17_21_19256)
    | spl6_1 ),
    inference(resolution,[],[f266,f225]) ).

fof(f225,plain,
    ! [X0] :
      ( rinvF1(sK1(X0),X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f186,f165]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( ~ rf1(X1,X0)
      | rinvF1(X0,X1) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( ( rinvF1(X0,X1)
        | ~ rf1(X1,X0) )
      & ( rf1(X1,X0)
        | ~ rinvF1(X0,X1) ) ),
    inference(nnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( rinvF1(X0,X1)
    <=> rf1(X1,X0) ),
    inference(rectify,[],[f34]) ).

fof(f34,axiom,
    ! [X3,X4] :
      ( rinvF1(X3,X4)
    <=> rf1(X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.zFLLRAFTB5/Vampire---4.8_311',axiom_10) ).

fof(f266,plain,
    ( ! [X0] :
        ( ~ rinvF1(X0,i2003_11_14_17_21_19256)
        | ~ ca_Ax2(X0) )
    | spl6_1 ),
    inference(resolution,[],[f253,f175]) ).

fof(f175,plain,
    ! [X2,X0] :
      ( ca_Vx3(X2)
      | ~ rinvF1(X0,X2)
      | ~ ca_Ax2(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f253,plain,
    ( ~ ca_Vx3(i2003_11_14_17_21_19256)
    | spl6_1 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f264,plain,
    ( ~ spl6_1
    | spl6_3
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f259,f255,f261,f251]) ).

fof(f255,plain,
    ( spl6_2
  <=> sK0(i2003_11_14_17_21_19256) = sK5(i2003_11_14_17_21_19256) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f259,plain,
    ( rs(i2003_11_14_17_21_19256,sK0(i2003_11_14_17_21_19256))
    | ~ ca_Vx3(i2003_11_14_17_21_19256)
    | ~ spl6_2 ),
    inference(superposition,[],[f178,f257]) ).

fof(f257,plain,
    ( sK0(i2003_11_14_17_21_19256) = sK5(i2003_11_14_17_21_19256)
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f178,plain,
    ! [X0] :
      ( rs(X0,sK5(X0))
      | ~ ca_Vx3(X0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0] :
      ( ( ca_Vx3(X0)
        | ! [X1] :
            ( ~ cowlThing(X1)
            | ~ rs(X0,X1) ) )
      & ( ( cowlThing(sK5(X0))
          & rs(X0,sK5(X0)) )
        | ~ ca_Vx3(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f132,f133]) ).

fof(f133,plain,
    ! [X0] :
      ( ? [X2] :
          ( cowlThing(X2)
          & rs(X0,X2) )
     => ( cowlThing(sK5(X0))
        & rs(X0,sK5(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f132,plain,
    ! [X0] :
      ( ( ca_Vx3(X0)
        | ! [X1] :
            ( ~ cowlThing(X1)
            | ~ rs(X0,X1) ) )
      & ( ? [X2] :
            ( cowlThing(X2)
            & rs(X0,X2) )
        | ~ ca_Vx3(X0) ) ),
    inference(rectify,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( ( ca_Vx3(X0)
        | ! [X1] :
            ( ~ cowlThing(X1)
            | ~ rs(X0,X1) ) )
      & ( ? [X1] :
            ( cowlThing(X1)
            & rs(X0,X1) )
        | ~ ca_Vx3(X0) ) ),
    inference(nnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ca_Vx3(X0)
    <=> ? [X1] :
          ( cowlThing(X1)
          & rs(X0,X1) ) ),
    inference(rectify,[],[f30]) ).

fof(f30,axiom,
    ! [X3] :
      ( ca_Vx3(X3)
    <=> ? [X4] :
          ( cowlThing(X4)
          & rs(X3,X4) ) ),
    file('/export/starexec/sandbox/tmp/tmp.zFLLRAFTB5/Vampire---4.8_311',axiom_6) ).

fof(f258,plain,
    ( ~ spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f248,f255,f251]) ).

fof(f248,plain,
    ( sK0(i2003_11_14_17_21_19256) = sK5(i2003_11_14_17_21_19256)
    | ~ ca_Vx3(i2003_11_14_17_21_19256) ),
    inference(resolution,[],[f247,f178]) ).

fof(f247,plain,
    ! [X0] :
      ( ~ rs(i2003_11_14_17_21_19256,X0)
      | sK0(i2003_11_14_17_21_19256) = X0 ),
    inference(resolution,[],[f245,f191]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( rf(X0,X1)
      | ~ rs(X0,X1) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( rf(X0,X1)
      | ~ rs(X0,X1) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( rs(X0,X1)
     => rf(X0,X1) ),
    inference(rectify,[],[f38]) ).

fof(f38,axiom,
    ! [X3,X4] :
      ( rs(X3,X4)
     => rf(X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.zFLLRAFTB5/Vampire---4.8_311',axiom_14) ).

fof(f245,plain,
    ! [X0] :
      ( ~ rf(i2003_11_14_17_21_19256,X0)
      | sK0(i2003_11_14_17_21_19256) = X0 ),
    inference(resolution,[],[f238,f190]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( ~ cUnsatisfiable(X1)
      | ~ rf(X1,X0)
      | sK0(X1) = X0 ),
    inference(resolution,[],[f181,f167]) ).

fof(f167,plain,
    ! [X0] :
      ( rf(X0,sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f181,plain,
    ! [X2,X0,X1] :
      ( ~ rf(X0,X2)
      | X1 = X2
      | ~ rf(X0,X1) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rf(X0,X2)
      | ~ rf(X0,X1) ),
    inference(flattening,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rf(X0,X2)
      | ~ rf(X0,X1) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( ( rf(X0,X2)
        & rf(X0,X1) )
     => X1 = X2 ),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ! [X3,X4,X6] :
      ( ( rf(X3,X6)
        & rf(X3,X4) )
     => X4 = X6 ),
    file('/export/starexec/sandbox/tmp/tmp.zFLLRAFTB5/Vampire---4.8_311',axiom_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : KRS112+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n002.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 19:51:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_UNS_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.zFLLRAFTB5/Vampire---4.8_311
% 0.57/0.74  % (600)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.74  % (600)Refutation not found, incomplete strategy% (600)------------------------------
% 0.57/0.74  % (600)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (600)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (600)Memory used [KB]: 950
% 0.57/0.74  % (600)Time elapsed: 0.001 s
% 0.57/0.74  % (600)Instructions burned: 2 (million)
% 0.57/0.74  % (600)------------------------------
% 0.57/0.74  % (600)------------------------------
% 0.57/0.74  % (594)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74  % (596)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (597)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.74  % (598)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74  % (599)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.74  % (595)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.74  % (596)Refutation not found, incomplete strategy% (596)------------------------------
% 0.57/0.74  % (596)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (596)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (594)Refutation not found, incomplete strategy% (594)------------------------------
% 0.57/0.74  % (594)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (594)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (594)Memory used [KB]: 950
% 0.57/0.74  % (594)Time elapsed: 0.002 s
% 0.57/0.74  % (594)Instructions burned: 2 (million)
% 0.57/0.74  % (596)Memory used [KB]: 949
% 0.57/0.74  % (596)Time elapsed: 0.002 s
% 0.57/0.74  % (596)Instructions burned: 2 (million)
% 0.57/0.74  % (597)Refutation not found, incomplete strategy% (597)------------------------------
% 0.57/0.74  % (597)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (597)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (597)Memory used [KB]: 950
% 0.57/0.74  % (599)Refutation not found, incomplete strategy% (599)------------------------------
% 0.57/0.74  % (599)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (599)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (599)Memory used [KB]: 950
% 0.57/0.74  % (599)Time elapsed: 0.002 s
% 0.57/0.74  % (599)Instructions burned: 2 (million)
% 0.57/0.74  % (597)Time elapsed: 0.002 s
% 0.57/0.74  % (597)Instructions burned: 2 (million)
% 0.57/0.74  % (594)------------------------------
% 0.57/0.74  % (594)------------------------------
% 0.57/0.74  % (596)------------------------------
% 0.57/0.74  % (596)------------------------------
% 0.57/0.74  % (599)------------------------------
% 0.57/0.74  % (599)------------------------------
% 0.57/0.74  % (597)------------------------------
% 0.57/0.74  % (597)------------------------------
% 0.57/0.74  % (598)Refutation not found, incomplete strategy% (598)------------------------------
% 0.57/0.74  % (598)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (598)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (598)Memory used [KB]: 1054
% 0.57/0.74  % (598)Time elapsed: 0.003 s
% 0.57/0.74  % (598)Instructions burned: 3 (million)
% 0.57/0.74  % (601)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.74  % (598)------------------------------
% 0.57/0.74  % (598)------------------------------
% 0.57/0.74  % (601)Refutation not found, incomplete strategy% (601)------------------------------
% 0.57/0.74  % (601)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (601)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (601)Memory used [KB]: 950
% 0.57/0.75  % (601)Time elapsed: 0.001 s
% 0.57/0.75  % (601)Instructions burned: 2 (million)
% 0.57/0.75  % (601)------------------------------
% 0.57/0.75  % (601)------------------------------
% 0.57/0.75  % (604)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)
% 0.57/0.75  % (595)First to succeed.
% 0.57/0.75  % (604)Refutation not found, incomplete strategy% (604)------------------------------
% 0.57/0.75  % (604)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (603)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)
% 0.57/0.75  % (602)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.75  % (604)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (604)Memory used [KB]: 950
% 0.57/0.75  % (604)Time elapsed: 0.002 s
% 0.57/0.75  % (604)Instructions burned: 2 (million)
% 0.57/0.75  % (607)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.57/0.75  % (609)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 (2996ds/243Mi)
% 0.57/0.75  % (604)------------------------------
% 0.57/0.75  % (604)------------------------------
% 0.57/0.75  % (605)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)
% 0.57/0.75  % (609)Refutation not found, incomplete strategy% (609)------------------------------
% 0.57/0.75  % (609)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (609)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (609)Memory used [KB]: 951
% 0.57/0.75  % (609)Time elapsed: 0.001 s
% 0.57/0.75  % (609)Instructions burned: 2 (million)
% 0.57/0.75  % (607)Refutation not found, incomplete strategy% (607)------------------------------
% 0.57/0.75  % (607)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (607)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (607)Memory used [KB]: 950
% 0.57/0.75  % (607)Time elapsed: 0.003 s
% 0.57/0.75  % (607)Instructions burned: 2 (million)
% 0.57/0.75  % (609)------------------------------
% 0.57/0.75  % (609)------------------------------
% 0.57/0.75  % (605)Refutation not found, incomplete strategy% (605)------------------------------
% 0.57/0.75  % (605)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (605)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  % (607)------------------------------
% 0.57/0.75  % (607)------------------------------
% 0.57/0.75  
% 0.57/0.75  % (605)Memory used [KB]: 950
% 0.57/0.75  % (605)Time elapsed: 0.002 s
% 0.57/0.75  % (605)Instructions burned: 2 (million)
% 0.57/0.75  % (608)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.57/0.75  % (605)------------------------------
% 0.57/0.75  % (605)------------------------------
% 0.57/0.75  % (595)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-590"
% 0.57/0.75  % (603)Refutation not found, incomplete strategy% (603)------------------------------
% 0.57/0.75  % (603)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (603)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (603)Memory used [KB]: 1056
% 0.57/0.75  % (603)Time elapsed: 0.003 s
% 0.57/0.75  % (603)Instructions burned: 4 (million)
% 0.57/0.75  % (603)------------------------------
% 0.57/0.75  % (603)------------------------------
% 0.57/0.75  % (595)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75  % (595)------------------------------
% 0.57/0.75  % (595)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (595)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (595)Memory used [KB]: 1166
% 0.57/0.75  % (595)Time elapsed: 0.008 s
% 0.57/0.75  % (595)Instructions burned: 9 (million)
% 0.57/0.75  % (590)Success in time 0.376 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------