TSTP Solution File: KRS109+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS109+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 07:17:53 EDT 2024

% Result   : Unsatisfiable 0.55s 0.76s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   97 (   7 unt;   0 def)
%            Number of atoms       :  310 (   9 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  340 ( 127   ~; 117   |;  61   &)
%                                         (  21 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   6 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-1 aty)
%            Number of variables   :  150 ( 121   !;  29   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f313,plain,
    $false,
    inference(avatar_sat_refutation,[],[f242,f258,f276,f298,f308,f312]) ).

fof(f312,plain,
    ~ spl6_4,
    inference(avatar_contradiction_clause,[],[f310]) ).

fof(f310,plain,
    ( $false
    | ~ spl6_4 ),
    inference(resolution,[],[f257,f223]) ).

fof(f223,plain,
    ~ cp(i2003_11_14_17_21_08508),
    inference(resolution,[],[f222,f218]) ).

fof(f218,plain,
    cpxcomp(i2003_11_14_17_21_08508),
    inference(resolution,[],[f165,f191]) ).

fof(f191,plain,
    cUnsatisfiable(i2003_11_14_17_21_08508),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,axiom,
    cUnsatisfiable(i2003_11_14_17_21_08508),
    file('/export/starexec/sandbox2/tmp/tmp.xCip72kFAv/Vampire---4.8_8381',axiom_13) ).

fof(f165,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | cpxcomp(X0) ),
    inference(cnf_transformation,[],[f116]) ).

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

fof(f115,plain,
    ! [X0] :
      ( ? [X2] :
          ( ca_Ax2(X2)
          & rf(X0,X2) )
     => ( ca_Ax2(sK0(X0))
        & rf(X0,sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

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

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

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

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

fof(f26,axiom,
    ! [X3] :
      ( cUnsatisfiable(X3)
    <=> ( ? [X4] :
            ( ca_Ax2(X4)
            & rf(X3,X4) )
        & cpxcomp(X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xCip72kFAv/Vampire---4.8_8381',axiom_2) ).

fof(f222,plain,
    ! [X0] :
      ( ~ cpxcomp(X0)
      | ~ cp(X0) ),
    inference(resolution,[],[f171,f169]) ).

fof(f169,plain,
    ! [X2,X0] :
      ( ~ ra_Px1(X0,X2)
      | ~ cp(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ( cp(X0)
        | ra_Px1(X0,sK1(X0)) )
      & ( ! [X2] : ~ ra_Px1(X0,X2)
        | ~ cp(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f118,f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ? [X1] : ra_Px1(X0,X1)
     => ra_Px1(X0,sK1(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f118,plain,
    ! [X0] :
      ( ( cp(X0)
        | ? [X1] : ra_Px1(X0,X1) )
      & ( ! [X2] : ~ ra_Px1(X0,X2)
        | ~ cp(X0) ) ),
    inference(rectify,[],[f117]) ).

fof(f117,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/sandbox2/tmp/tmp.xCip72kFAv/Vampire---4.8_8381',axiom_3) ).

fof(f171,plain,
    ! [X0] :
      ( ra_Px1(X0,sK2(X0))
      | ~ cpxcomp(X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ( cpxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ra_Px1(X0,sK2(X0))
        | ~ cpxcomp(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f122,f123]) ).

fof(f123,plain,
    ! [X0] :
      ( ? [X2] : ra_Px1(X0,X2)
     => ra_Px1(X0,sK2(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f122,plain,
    ! [X0] :
      ( ( cpxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ? [X2] : ra_Px1(X0,X2)
        | ~ cpxcomp(X0) ) ),
    inference(rectify,[],[f121]) ).

fof(f121,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/sandbox2/tmp/tmp.xCip72kFAv/Vampire---4.8_8381',axiom_4) ).

fof(f257,plain,
    ( cp(i2003_11_14_17_21_08508)
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f255,plain,
    ( spl6_4
  <=> cp(i2003_11_14_17_21_08508) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

fof(f308,plain,
    ( ~ spl6_1
    | spl6_3
    | ~ spl6_5 ),
    inference(avatar_split_clause,[],[f307,f273,f251,f235]) ).

fof(f235,plain,
    ( spl6_1
  <=> cUnsatisfiable(i2003_11_14_17_21_08508) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f251,plain,
    ( spl6_3
  <=> ca_Ax2(sK5(i2003_11_14_17_21_08508)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

fof(f273,plain,
    ( spl6_5
  <=> sK0(i2003_11_14_17_21_08508) = sK5(i2003_11_14_17_21_08508) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

fof(f307,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_08508)
    | spl6_3
    | ~ spl6_5 ),
    inference(resolution,[],[f283,f167]) ).

fof(f167,plain,
    ! [X0] :
      ( ca_Ax2(sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f283,plain,
    ( ~ ca_Ax2(sK0(i2003_11_14_17_21_08508))
    | spl6_3
    | ~ spl6_5 ),
    inference(superposition,[],[f253,f275]) ).

fof(f275,plain,
    ( sK0(i2003_11_14_17_21_08508) = sK5(i2003_11_14_17_21_08508)
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f253,plain,
    ( ~ ca_Ax2(sK5(i2003_11_14_17_21_08508))
    | spl6_3 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f298,plain,
    spl6_1,
    inference(avatar_contradiction_clause,[],[f297]) ).

fof(f297,plain,
    ( $false
    | spl6_1 ),
    inference(resolution,[],[f237,f191]) ).

fof(f237,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_08508)
    | spl6_1 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f276,plain,
    ( ~ spl6_1
    | spl6_5
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f271,f239,f273,f235]) ).

fof(f239,plain,
    ( spl6_2
  <=> ca_Vx3(i2003_11_14_17_21_08508) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f271,plain,
    ( sK0(i2003_11_14_17_21_08508) = sK5(i2003_11_14_17_21_08508)
    | ~ cUnsatisfiable(i2003_11_14_17_21_08508)
    | ~ spl6_2 ),
    inference(resolution,[],[f269,f166]) ).

fof(f166,plain,
    ! [X0] :
      ( rf(X0,sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f269,plain,
    ( ! [X0] :
        ( ~ rf(i2003_11_14_17_21_08508,X0)
        | sK5(i2003_11_14_17_21_08508) = X0 )
    | ~ spl6_2 ),
    inference(resolution,[],[f182,f244]) ).

fof(f244,plain,
    ( rf(i2003_11_14_17_21_08508,sK5(i2003_11_14_17_21_08508))
    | ~ spl6_2 ),
    inference(resolution,[],[f241,f227]) ).

fof(f227,plain,
    ! [X0] :
      ( ~ ca_Vx3(X0)
      | rf(X0,sK5(X0)) ),
    inference(resolution,[],[f192,f179]) ).

fof(f179,plain,
    ! [X0] :
      ( rs(X0,sK5(X0))
      | ~ ca_Vx3(X0) ),
    inference(cnf_transformation,[],[f134]) ).

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

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

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

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

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

fof(f30,axiom,
    ! [X3] :
      ( ca_Vx3(X3)
    <=> ? [X4] :
          ( cp(X4)
          & rs(X3,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xCip72kFAv/Vampire---4.8_8381',axiom_6) ).

fof(f192,plain,
    ! [X0,X1] :
      ( ~ rs(X0,X1)
      | rf(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/sandbox2/tmp/tmp.xCip72kFAv/Vampire---4.8_8381',axiom_14) ).

fof(f241,plain,
    ( ca_Vx3(i2003_11_14_17_21_08508)
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f182,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/sandbox2/tmp/tmp.xCip72kFAv/Vampire---4.8_8381',axiom_7) ).

fof(f258,plain,
    ( ~ spl6_3
    | spl6_4
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f248,f239,f255,f251]) ).

fof(f248,plain,
    ( cp(i2003_11_14_17_21_08508)
    | ~ ca_Ax2(sK5(i2003_11_14_17_21_08508))
    | ~ spl6_2 ),
    inference(resolution,[],[f245,f173]) ).

fof(f173,plain,
    ! [X0,X4] :
      ( ~ rinvS(X0,X4)
      | cp(X4)
      | ~ ca_Ax2(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ( ca_Ax2(X0)
        | ( ~ ca_Vx3(sK3(X0))
          & rinvF(X0,sK3(X0)) )
        | ( ~ cp(sK4(X0))
          & rinvS(X0,sK4(X0)) ) )
      & ( ( ! [X3] :
              ( ca_Vx3(X3)
              | ~ rinvF(X0,X3) )
          & ! [X4] :
              ( cp(X4)
              | ~ rinvS(X0,X4) ) )
        | ~ ca_Ax2(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f127,f129,f128]) ).

fof(f128,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ ca_Vx3(X1)
          & rinvF(X0,X1) )
     => ( ~ ca_Vx3(sK3(X0))
        & rinvF(X0,sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f129,plain,
    ! [X0] :
      ( ? [X2] :
          ( ~ cp(X2)
          & rinvS(X0,X2) )
     => ( ~ cp(sK4(X0))
        & rinvS(X0,sK4(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ! [X0] :
      ( ( ca_Ax2(X0)
        | ? [X1] :
            ( ~ ca_Vx3(X1)
            & rinvF(X0,X1) )
        | ? [X2] :
            ( ~ cp(X2)
            & rinvS(X0,X2) ) )
      & ( ( ! [X3] :
              ( ca_Vx3(X3)
              | ~ rinvF(X0,X3) )
          & ! [X4] :
              ( cp(X4)
              | ~ rinvS(X0,X4) ) )
        | ~ ca_Ax2(X0) ) ),
    inference(rectify,[],[f126]) ).

fof(f126,plain,
    ! [X0] :
      ( ( ca_Ax2(X0)
        | ? [X1] :
            ( ~ ca_Vx3(X1)
            & rinvF(X0,X1) )
        | ? [X2] :
            ( ~ cp(X2)
            & rinvS(X0,X2) ) )
      & ( ( ! [X1] :
              ( ca_Vx3(X1)
              | ~ rinvF(X0,X1) )
          & ! [X2] :
              ( cp(X2)
              | ~ rinvS(X0,X2) ) )
        | ~ ca_Ax2(X0) ) ),
    inference(flattening,[],[f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ( ca_Ax2(X0)
        | ? [X1] :
            ( ~ ca_Vx3(X1)
            & rinvF(X0,X1) )
        | ? [X2] :
            ( ~ cp(X2)
            & rinvS(X0,X2) ) )
      & ( ( ! [X1] :
              ( ca_Vx3(X1)
              | ~ rinvF(X0,X1) )
          & ! [X2] :
              ( cp(X2)
              | ~ rinvS(X0,X2) ) )
        | ~ ca_Ax2(X0) ) ),
    inference(nnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( ca_Ax2(X0)
    <=> ( ! [X1] :
            ( ca_Vx3(X1)
            | ~ rinvF(X0,X1) )
        & ! [X2] :
            ( cp(X2)
            | ~ rinvS(X0,X2) ) ) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ca_Ax2(X0)
    <=> ( ! [X1] :
            ( rinvF(X0,X1)
           => ca_Vx3(X1) )
        & ! [X2] :
            ( rinvS(X0,X2)
           => cp(X2) ) ) ),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ! [X3] :
      ( ca_Ax2(X3)
    <=> ( ! [X4] :
            ( rinvF(X3,X4)
           => ca_Vx3(X4) )
        & ! [X4] :
            ( rinvS(X3,X4)
           => cp(X4) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xCip72kFAv/Vampire---4.8_8381',axiom_5) ).

fof(f245,plain,
    ( rinvS(sK5(i2003_11_14_17_21_08508),i2003_11_14_17_21_08508)
    | ~ spl6_2 ),
    inference(resolution,[],[f241,f226]) ).

fof(f226,plain,
    ! [X0] :
      ( ~ ca_Vx3(X0)
      | rinvS(sK5(X0),X0) ),
    inference(resolution,[],[f189,f179]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ~ rs(X1,X0)
      | rinvS(X0,X1) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ( rinvS(X0,X1)
        | ~ rs(X1,X0) )
      & ( rs(X1,X0)
        | ~ rinvS(X0,X1) ) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( rinvS(X0,X1)
    <=> rs(X1,X0) ),
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X3,X4] :
      ( rinvS(X3,X4)
    <=> rs(X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.xCip72kFAv/Vampire---4.8_8381',axiom_11) ).

fof(f242,plain,
    ( ~ spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f233,f239,f235]) ).

fof(f233,plain,
    ( ca_Vx3(i2003_11_14_17_21_08508)
    | ~ cUnsatisfiable(i2003_11_14_17_21_08508) ),
    inference(resolution,[],[f232,f225]) ).

fof(f225,plain,
    ! [X0] :
      ( rinvF(sK0(X0),X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f185,f166]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( ~ rf(X1,X0)
      | rinvF(X0,X1) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( ( rinvF(X0,X1)
        | ~ rf(X1,X0) )
      & ( rf(X1,X0)
        | ~ rinvF(X0,X1) ) ),
    inference(nnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( rinvF(X0,X1)
    <=> rf(X1,X0) ),
    inference(rectify,[],[f33]) ).

fof(f33,axiom,
    ! [X3,X4] :
      ( rinvF(X3,X4)
    <=> rf(X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.xCip72kFAv/Vampire---4.8_8381',axiom_9) ).

fof(f232,plain,
    ! [X0] :
      ( ~ rinvF(sK0(i2003_11_14_17_21_08508),X0)
      | ca_Vx3(X0) ),
    inference(resolution,[],[f230,f191]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( ~ cUnsatisfiable(X0)
      | ca_Vx3(X1)
      | ~ rinvF(sK0(X0),X1) ),
    inference(resolution,[],[f174,f167]) ).

fof(f174,plain,
    ! [X3,X0] :
      ( ~ ca_Ax2(X0)
      | ~ rinvF(X0,X3)
      | ca_Vx3(X3) ),
    inference(cnf_transformation,[],[f130]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : KRS109+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 19:52:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_UNS_RFO_SEQ problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.xCip72kFAv/Vampire---4.8_8381
% 0.55/0.75  % (8559)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)
% 0.55/0.75  % (8563)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)
% 0.55/0.75  % (8563)Refutation not found, incomplete strategy% (8563)------------------------------
% 0.55/0.75  % (8563)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (8559)Refutation not found, incomplete strategy% (8559)------------------------------
% 0.55/0.75  % (8559)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (8563)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (8563)Memory used [KB]: 950
% 0.55/0.75  % (8563)Time elapsed: 0.001 s
% 0.55/0.75  % (8563)Instructions burned: 2 (million)
% 0.55/0.75  % (8559)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (8559)Memory used [KB]: 950
% 0.55/0.75  % (8559)Time elapsed: 0.001 s
% 0.55/0.75  % (8559)Instructions burned: 2 (million)
% 0.55/0.75  % (8563)------------------------------
% 0.55/0.75  % (8563)------------------------------
% 0.55/0.75  % (8559)------------------------------
% 0.55/0.75  % (8559)------------------------------
% 0.55/0.75  % (8556)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)
% 0.55/0.75  % (8560)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)
% 0.55/0.75  % (8561)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)
% 0.55/0.75  % (8558)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (8557)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)
% 0.55/0.75  % (8562)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)
% 0.55/0.75  % (8556)Refutation not found, incomplete strategy% (8556)------------------------------
% 0.55/0.75  % (8556)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (8556)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (8556)Memory used [KB]: 950
% 0.55/0.75  % (8556)Time elapsed: 0.002 s
% 0.55/0.75  % (8561)Refutation not found, incomplete strategy% (8561)------------------------------
% 0.55/0.75  % (8561)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (8561)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (8561)Memory used [KB]: 950
% 0.55/0.75  % (8561)Time elapsed: 0.002 s
% 0.55/0.75  % (8561)Instructions burned: 2 (million)
% 0.55/0.75  % (8556)Instructions burned: 2 (million)
% 0.55/0.75  % (8558)Refutation not found, incomplete strategy% (8558)------------------------------
% 0.55/0.75  % (8558)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (8558)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (8558)Memory used [KB]: 949
% 0.55/0.75  % (8558)Time elapsed: 0.002 s
% 0.55/0.75  % (8558)Instructions burned: 2 (million)
% 0.55/0.75  % (8562)Refutation not found, incomplete strategy% (8562)------------------------------
% 0.55/0.75  % (8562)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (8562)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (8561)------------------------------
% 0.55/0.75  % (8561)------------------------------
% 0.55/0.75  % (8562)Memory used [KB]: 950
% 0.55/0.75  % (8562)Time elapsed: 0.002 s
% 0.55/0.75  % (8556)------------------------------
% 0.55/0.75  % (8556)------------------------------
% 0.55/0.75  % (8562)Instructions burned: 2 (million)
% 0.55/0.75  % (8558)------------------------------
% 0.55/0.75  % (8558)------------------------------
% 0.55/0.75  % (8562)------------------------------
% 0.55/0.75  % (8562)------------------------------
% 0.55/0.75  % (8560)Refutation not found, incomplete strategy% (8560)------------------------------
% 0.55/0.75  % (8560)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (8560)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (8560)Memory used [KB]: 1054
% 0.55/0.75  % (8560)Time elapsed: 0.003 s
% 0.55/0.75  % (8560)Instructions burned: 3 (million)
% 0.55/0.75  % (8565)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)
% 0.55/0.75  % (8566)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)
% 0.55/0.75  % (8560)------------------------------
% 0.55/0.75  % (8560)------------------------------
% 0.55/0.75  % (8566)Refutation not found, incomplete strategy% (8566)------------------------------
% 0.55/0.75  % (8566)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (8566)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (8566)Memory used [KB]: 1056
% 0.55/0.75  % (8566)Time elapsed: 0.002 s
% 0.55/0.75  % (8566)Instructions burned: 4 (million)
% 0.55/0.75  % (8565)Refutation not found, incomplete strategy% (8565)------------------------------
% 0.55/0.75  % (8565)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (8565)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (8566)------------------------------
% 0.55/0.75  % (8566)------------------------------
% 0.55/0.75  % (8565)Memory used [KB]: 1087
% 0.55/0.75  % (8565)Time elapsed: 0.002 s
% 0.55/0.75  % (8565)Instructions burned: 4 (million)
% 0.55/0.75  % (8565)------------------------------
% 0.55/0.75  % (8565)------------------------------
% 0.55/0.75  % (8557)First to succeed.
% 0.55/0.75  % (8568)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)
% 0.55/0.76  % (8570)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)
% 0.55/0.76  % (8571)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)
% 0.55/0.76  % (8568)Refutation not found, incomplete strategy% (8568)------------------------------
% 0.55/0.76  % (8568)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (8568)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (8568)Memory used [KB]: 950
% 0.55/0.76  % (8568)Time elapsed: 0.003 s
% 0.55/0.76  % (8568)Instructions burned: 2 (million)
% 0.55/0.76  % (8570)Refutation not found, incomplete strategy% (8570)------------------------------
% 0.55/0.76  % (8570)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (8570)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (8570)Memory used [KB]: 950
% 0.55/0.76  % (8570)Time elapsed: 0.003 s
% 0.55/0.76  % (8570)Instructions burned: 2 (million)
% 0.55/0.76  % (8573)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 (2996ds/117Mi)
% 0.55/0.76  % (8568)------------------------------
% 0.55/0.76  % (8568)------------------------------
% 0.55/0.76  % (8574)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 (2996ds/143Mi)
% 0.55/0.76  % (8570)------------------------------
% 0.55/0.76  % (8570)------------------------------
% 0.55/0.76  % (8557)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8538"
% 0.55/0.76  % (8572)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)
% 0.55/0.76  % (8572)Refutation not found, incomplete strategy% (8572)------------------------------
% 0.55/0.76  % (8572)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (8569)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)
% 0.55/0.76  % (8572)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  % (8557)Refutation found. Thanks to Tanya!
% 0.55/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.55/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.76  % (8557)------------------------------
% 0.55/0.76  % (8557)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (8557)Termination reason: Refutation
% 0.55/0.76  
% 0.55/0.76  % (8557)Memory used [KB]: 1112
% 0.55/0.76  % (8557)Time elapsed: 0.008 s
% 0.55/0.76  % (8557)Instructions burned: 8 (million)
% 0.55/0.76  % (8538)Success in time 0.384 s
% 0.55/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------