TSTP Solution File: KRS120+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KRS120+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n026.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 Aug 31 17:30:52 EDT 2022

% Result   : Unsatisfiable 0.20s 0.57s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   96 (   8 unt;   0 def)
%            Number of atoms       :  282 (  16 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  306 ( 120   ~; 110   |;  50   &)
%                                         (  17 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :  134 ( 108   !;  26   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f334,plain,
    $false,
    inference(avatar_sat_refutation,[],[f248,f287,f290,f300,f333]) ).

fof(f333,plain,
    ( ~ spl5_1
    | ~ spl5_2 ),
    inference(avatar_contradiction_clause,[],[f332]) ).

fof(f332,plain,
    ( $false
    | ~ spl5_1
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f330,f246]) ).

fof(f246,plain,
    ( ca_Vx3(i2003_11_14_17_21_48796)
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f245,plain,
    ( spl5_2
  <=> ca_Vx3(i2003_11_14_17_21_48796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f330,plain,
    ( ~ ca_Vx3(i2003_11_14_17_21_48796)
    | ~ spl5_1 ),
    inference(resolution,[],[f304,f160]) ).

fof(f160,plain,
    ! [X0] :
      ( cp1xcomp(sK1(X0))
      | ~ ca_Vx3(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ( ( cp1xcomp(sK1(X0))
          & rf(X0,sK1(X0)) )
        | ~ ca_Vx3(X0) )
      & ( ca_Vx3(X0)
        | ! [X2] :
            ( ~ cp1xcomp(X2)
            | ~ rf(X0,X2) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f116,f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ? [X1] :
          ( cp1xcomp(X1)
          & rf(X0,X1) )
     => ( cp1xcomp(sK1(X0))
        & rf(X0,sK1(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f116,plain,
    ! [X0] :
      ( ( ? [X1] :
            ( cp1xcomp(X1)
            & rf(X0,X1) )
        | ~ ca_Vx3(X0) )
      & ( ca_Vx3(X0)
        | ! [X2] :
            ( ~ cp1xcomp(X2)
            | ~ rf(X0,X2) ) ) ),
    inference(rectify,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ( ? [X1] :
            ( cp1xcomp(X1)
            & rf(X0,X1) )
        | ~ ca_Vx3(X0) )
      & ( ca_Vx3(X0)
        | ! [X1] :
            ( ~ cp1xcomp(X1)
            | ~ rf(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ? [X1] :
          ( cp1xcomp(X1)
          & rf(X0,X1) )
    <=> ca_Vx3(X0) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X3] :
      ( ca_Vx3(X3)
    <=> ? [X4] :
          ( cp1xcomp(X4)
          & rf(X3,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f304,plain,
    ( ~ cp1xcomp(sK1(i2003_11_14_17_21_48796))
    | ~ spl5_1 ),
    inference(backward_demodulation,[],[f218,f243]) ).

fof(f243,plain,
    ( sK1(i2003_11_14_17_21_48796) = sK2(i2003_11_14_17_21_48796)
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f241,plain,
    ( spl5_1
  <=> sK1(i2003_11_14_17_21_48796) = sK2(i2003_11_14_17_21_48796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f218,plain,
    ~ cp1xcomp(sK2(i2003_11_14_17_21_48796)),
    inference(resolution,[],[f216,f205]) ).

fof(f205,plain,
    ca_Ax2(sK2(i2003_11_14_17_21_48796)),
    inference(resolution,[],[f170,f178]) ).

fof(f178,plain,
    cUnsatisfiable(i2003_11_14_17_21_48796),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,axiom,
    cUnsatisfiable(i2003_11_14_17_21_48796),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

fof(f170,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ca_Ax2(sK2(X0)) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ ca_Ax2(X1)
            | ~ rf(X0,X1) ) )
      & ( ( ca_Ax2(sK2(X0))
          & rf(X0,sK2(X0)) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f124,f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ? [X2] :
          ( ca_Ax2(X2)
          & rf(X0,X2) )
     => ( ca_Ax2(sK2(X0))
        & rf(X0,sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f124,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ ca_Ax2(X1)
            | ~ rf(X0,X1) ) )
      & ( ? [X2] :
            ( ca_Ax2(X2)
            & rf(X0,X2) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(rectify,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ ca_Ax2(X1)
            | ~ rf(X0,X1) ) )
      & ( ? [X1] :
            ( ca_Ax2(X1)
            & rf(X0,X1) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ? [X1] :
          ( ca_Ax2(X1)
          & rf(X0,X1) ) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X3] :
      ( cUnsatisfiable(X3)
    <=> ? [X4] :
          ( rf(X3,X4)
          & ca_Ax2(X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f216,plain,
    ! [X0] :
      ( ~ ca_Ax2(X0)
      | ~ cp1xcomp(X0) ),
    inference(resolution,[],[f211,f180]) ).

fof(f180,plain,
    ! [X0] :
      ( cp1(X0)
      | ~ ca_Ax2(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ( ca_Ax2(X0)
        | ! [X1] :
            ( ~ ca_Vx3(X1)
            | ~ rinvF(X0,X1) )
        | ~ cp1(X0) )
      & ( ( ca_Vx3(sK4(X0))
          & rinvF(X0,sK4(X0))
          & cp1(X0) )
        | ~ ca_Ax2(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f137,f138]) ).

fof(f138,plain,
    ! [X0] :
      ( ? [X2] :
          ( ca_Vx3(X2)
          & rinvF(X0,X2) )
     => ( ca_Vx3(sK4(X0))
        & rinvF(X0,sK4(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f137,plain,
    ! [X0] :
      ( ( ca_Ax2(X0)
        | ! [X1] :
            ( ~ ca_Vx3(X1)
            | ~ rinvF(X0,X1) )
        | ~ cp1(X0) )
      & ( ( ? [X2] :
              ( ca_Vx3(X2)
              & rinvF(X0,X2) )
          & cp1(X0) )
        | ~ ca_Ax2(X0) ) ),
    inference(rectify,[],[f136]) ).

fof(f136,plain,
    ! [X0] :
      ( ( ca_Ax2(X0)
        | ! [X1] :
            ( ~ ca_Vx3(X1)
            | ~ rinvF(X0,X1) )
        | ~ cp1(X0) )
      & ( ( ? [X1] :
              ( ca_Vx3(X1)
              & rinvF(X0,X1) )
          & cp1(X0) )
        | ~ ca_Ax2(X0) ) ),
    inference(flattening,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( ( ca_Ax2(X0)
        | ! [X1] :
            ( ~ ca_Vx3(X1)
            | ~ rinvF(X0,X1) )
        | ~ cp1(X0) )
      & ( ( ? [X1] :
              ( ca_Vx3(X1)
              & rinvF(X0,X1) )
          & cp1(X0) )
        | ~ ca_Ax2(X0) ) ),
    inference(nnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ca_Ax2(X0)
    <=> ( ? [X1] :
            ( ca_Vx3(X1)
            & rinvF(X0,X1) )
        & cp1(X0) ) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X3] :
      ( ca_Ax2(X3)
    <=> ( cp1(X3)
        & ? [X4] :
            ( ca_Vx3(X4)
            & rinvF(X3,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f211,plain,
    ! [X1] :
      ( ~ cp1(X1)
      | ~ cp1xcomp(X1) ),
    inference(resolution,[],[f173,f154]) ).

fof(f154,plain,
    ! [X2,X0] :
      ( ~ ra_Px1(X0,X2)
      | ~ cp1(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ( cp1(X0)
        | ra_Px1(X0,sK0(X0)) )
      & ( ! [X2] : ~ ra_Px1(X0,X2)
        | ~ cp1(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f111,f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ? [X1] : ra_Px1(X0,X1)
     => ra_Px1(X0,sK0(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f111,plain,
    ! [X0] :
      ( ( cp1(X0)
        | ? [X1] : ra_Px1(X0,X1) )
      & ( ! [X2] : ~ ra_Px1(X0,X2)
        | ~ cp1(X0) ) ),
    inference(rectify,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ( cp1(X0)
        | ? [X1] : ra_Px1(X0,X1) )
      & ( ! [X1] : ~ ra_Px1(X0,X1)
        | ~ cp1(X0) ) ),
    inference(nnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( cp1(X0)
    <=> ! [X1] : ~ ra_Px1(X0,X1) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ ? [X1] : ra_Px1(X0,X1)
    <=> cp1(X0) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X3] :
      ( ~ ? [X4] : ra_Px1(X3,X4)
    <=> cp1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f173,plain,
    ! [X0] :
      ( ra_Px1(X0,sK3(X0))
      | ~ cp1xcomp(X0) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( ( cp1xcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ra_Px1(X0,sK3(X0))
        | ~ cp1xcomp(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f129,f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ? [X2] : ra_Px1(X0,X2)
     => ra_Px1(X0,sK3(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f129,plain,
    ! [X0] :
      ( ( cp1xcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ? [X2] : ra_Px1(X0,X2)
        | ~ cp1xcomp(X0) ) ),
    inference(rectify,[],[f128]) ).

fof(f128,plain,
    ! [X0] :
      ( ( cp1xcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ? [X1] : ra_Px1(X0,X1)
        | ~ cp1xcomp(X0) ) ),
    inference(nnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( cp1xcomp(X0)
    <=> ? [X1] : ra_Px1(X0,X1) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X3] :
      ( cp1xcomp(X3)
    <=> ? [X5] : ra_Px1(X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f300,plain,
    ( spl5_2
    | ~ spl5_3 ),
    inference(avatar_contradiction_clause,[],[f299]) ).

fof(f299,plain,
    ( $false
    | spl5_2
    | ~ spl5_3 ),
    inference(subsumption_resolution,[],[f297,f247]) ).

fof(f247,plain,
    ( ~ ca_Vx3(i2003_11_14_17_21_48796)
    | spl5_2 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f297,plain,
    ( ca_Vx3(i2003_11_14_17_21_48796)
    | ~ spl5_3 ),
    inference(resolution,[],[f292,f209]) ).

fof(f209,plain,
    rf(i2003_11_14_17_21_48796,sK2(i2003_11_14_17_21_48796)),
    inference(resolution,[],[f169,f178]) ).

fof(f169,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | rf(X0,sK2(X0)) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f292,plain,
    ( ! [X0] :
        ( ~ rf(X0,sK2(i2003_11_14_17_21_48796))
        | ca_Vx3(X0) )
    | ~ spl5_3 ),
    inference(backward_demodulation,[],[f255,f282]) ).

fof(f282,plain,
    ( sK1(sK4(sK2(i2003_11_14_17_21_48796))) = sK2(i2003_11_14_17_21_48796)
    | ~ spl5_3 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f280,plain,
    ( spl5_3
  <=> sK1(sK4(sK2(i2003_11_14_17_21_48796))) = sK2(i2003_11_14_17_21_48796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

fof(f255,plain,
    ! [X0] :
      ( ~ rf(X0,sK1(sK4(sK2(i2003_11_14_17_21_48796))))
      | ca_Vx3(X0) ),
    inference(resolution,[],[f222,f205]) ).

fof(f222,plain,
    ! [X0,X1] :
      ( ~ ca_Ax2(X1)
      | ca_Vx3(X0)
      | ~ rf(X0,sK1(sK4(X1))) ),
    inference(resolution,[],[f213,f182]) ).

fof(f182,plain,
    ! [X0] :
      ( ca_Vx3(sK4(X0))
      | ~ ca_Ax2(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f213,plain,
    ! [X0,X1] :
      ( ~ ca_Vx3(X1)
      | ca_Vx3(X0)
      | ~ rf(X0,sK1(X1)) ),
    inference(resolution,[],[f158,f160]) ).

fof(f158,plain,
    ! [X2,X0] :
      ( ~ cp1xcomp(X2)
      | ~ rf(X0,X2)
      | ca_Vx3(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f290,plain,
    spl5_4,
    inference(avatar_contradiction_clause,[],[f289]) ).

fof(f289,plain,
    ( $false
    | spl5_4 ),
    inference(subsumption_resolution,[],[f288,f205]) ).

fof(f288,plain,
    ( ~ ca_Ax2(sK2(i2003_11_14_17_21_48796))
    | spl5_4 ),
    inference(resolution,[],[f286,f182]) ).

fof(f286,plain,
    ( ~ ca_Vx3(sK4(sK2(i2003_11_14_17_21_48796)))
    | spl5_4 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f284,plain,
    ( spl5_4
  <=> ca_Vx3(sK4(sK2(i2003_11_14_17_21_48796))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).

fof(f287,plain,
    ( spl5_3
    | ~ spl5_4 ),
    inference(avatar_split_clause,[],[f266,f284,f280]) ).

fof(f266,plain,
    ( ~ ca_Vx3(sK4(sK2(i2003_11_14_17_21_48796)))
    | sK1(sK4(sK2(i2003_11_14_17_21_48796))) = sK2(i2003_11_14_17_21_48796) ),
    inference(resolution,[],[f249,f159]) ).

fof(f159,plain,
    ! [X0] :
      ( rf(X0,sK1(X0))
      | ~ ca_Vx3(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f249,plain,
    ! [X0] :
      ( ~ rf(sK4(sK2(i2003_11_14_17_21_48796)),X0)
      | sK2(i2003_11_14_17_21_48796) = X0 ),
    inference(resolution,[],[f221,f205]) ).

fof(f221,plain,
    ! [X0,X1] :
      ( ~ ca_Ax2(X0)
      | ~ rf(sK4(X0),X1)
      | X0 = X1 ),
    inference(resolution,[],[f212,f204]) ).

fof(f204,plain,
    ! [X2,X0,X1] :
      ( ~ rf(X0,X1)
      | ~ rf(X0,X2)
      | X1 = X2 ),
    inference(subsumption_resolution,[],[f146,f161]) ).

fof(f161,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X3] :
      ( cowlThing(X3)
      & ~ cowlNothing(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

fof(f146,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | ~ rf(X0,X2)
      | ~ rf(X0,X1)
      | ~ cowlThing(X0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ cowlThing(X0)
      | ! [X1,X2] :
          ( ~ rf(X0,X2)
          | X1 = X2
          | ~ rf(X0,X1) ) ),
    inference(rectify,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( ~ cowlThing(X0)
      | ! [X2,X1] :
          ( ~ rf(X0,X1)
          | X1 = X2
          | ~ rf(X0,X2) ) ),
    inference(flattening,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ~ rf(X0,X1)
          | ~ rf(X0,X2) )
      | ~ cowlThing(X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( cowlThing(X0)
     => ! [X1,X2] :
          ( ( rf(X0,X1)
            & rf(X0,X2) )
         => X1 = X2 ) ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X3] :
      ( cowlThing(X3)
     => ! [X5,X6] :
          ( ( rf(X3,X5)
            & rf(X3,X6) )
         => X5 = X6 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(f212,plain,
    ! [X0] :
      ( rf(sK4(X0),X0)
      | ~ ca_Ax2(X0) ),
    inference(resolution,[],[f181,f164]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( ~ rinvF(X0,X1)
      | rf(X1,X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ( rf(X1,X0)
        | ~ rinvF(X0,X1) )
      & ( rinvF(X0,X1)
        | ~ rf(X1,X0) ) ),
    inference(rectify,[],[f119]) ).

fof(f119,plain,
    ! [X1,X0] :
      ( ( rf(X0,X1)
        | ~ rinvF(X1,X0) )
      & ( rinvF(X1,X0)
        | ~ rf(X0,X1) ) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X1,X0] :
      ( rf(X0,X1)
    <=> rinvF(X1,X0) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X4,X3] :
      ( rf(X4,X3)
    <=> rinvF(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f181,plain,
    ! [X0] :
      ( rinvF(X0,sK4(X0))
      | ~ ca_Ax2(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f248,plain,
    ( spl5_1
    | ~ spl5_2 ),
    inference(avatar_split_clause,[],[f239,f245,f241]) ).

fof(f239,plain,
    ( ~ ca_Vx3(i2003_11_14_17_21_48796)
    | sK1(i2003_11_14_17_21_48796) = sK2(i2003_11_14_17_21_48796) ),
    inference(resolution,[],[f220,f159]) ).

fof(f220,plain,
    ! [X2] :
      ( ~ rf(i2003_11_14_17_21_48796,X2)
      | sK2(i2003_11_14_17_21_48796) = X2 ),
    inference(resolution,[],[f204,f209]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : KRS120+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 00:48:20 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.55  % (13669)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55  % (13678)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.55  % (13670)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.56  % (13656)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (13662)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56  % (13678)First to succeed.
% 0.20/0.57  % (13670)Also succeeded, but the first one will report.
% 0.20/0.57  % (13678)Refutation found. Thanks to Tanya!
% 0.20/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57  % (13678)------------------------------
% 0.20/0.57  % (13678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (13678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (13678)Termination reason: Refutation
% 0.20/0.57  
% 0.20/0.57  % (13678)Memory used [KB]: 5500
% 0.20/0.57  % (13678)Time elapsed: 0.086 s
% 0.20/0.57  % (13678)Instructions burned: 6 (million)
% 0.20/0.57  % (13678)------------------------------
% 0.20/0.57  % (13678)------------------------------
% 0.20/0.57  % (13654)Success in time 0.208 s
%------------------------------------------------------------------------------