TSTP Solution File: KRS117+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KRS117+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 : n019.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 17:30:51 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  107 (   7 unt;   0 def)
%            Number of atoms       :  350 (  11 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  389 ( 146   ~; 136   |;  74   &)
%                                         (  19 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   4 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-1 aty)
%            Number of variables   :  169 ( 137   !;  32   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f487,plain,
    $false,
    inference(avatar_sat_refutation,[],[f302,f396,f468,f486]) ).

fof(f486,plain,
    ( ~ spl6_12
    | spl6_19 ),
    inference(avatar_contradiction_clause,[],[f485]) ).

fof(f485,plain,
    ( $false
    | ~ spl6_12
    | spl6_19 ),
    inference(subsumption_resolution,[],[f484,f382]) ).

fof(f382,plain,
    ( ca_Vx3(sK4(i2003_11_14_17_21_37349))
    | ~ spl6_12 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f381,plain,
    ( spl6_12
  <=> ca_Vx3(sK4(i2003_11_14_17_21_37349)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).

fof(f484,plain,
    ( ~ ca_Vx3(sK4(i2003_11_14_17_21_37349))
    | spl6_19 ),
    inference(resolution,[],[f456,f172]) ).

fof(f172,plain,
    ! [X0] :
      ( cd(sK4(X0))
      | ~ ca_Vx3(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ( ca_Vx3(X0)
        | ! [X1] :
            ( ~ cd(X1)
            | ~ rinvF(X0,X1) ) )
      & ( ( cd(sK4(X0))
          & rinvF(X0,sK4(X0)) )
        | ~ ca_Vx3(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f128,f129]) ).

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

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

fof(f127,plain,
    ! [X0] :
      ( ( ca_Vx3(X0)
        | ! [X1] :
            ( ~ cd(X1)
            | ~ rinvF(X0,X1) ) )
      & ( ? [X1] :
            ( cd(X1)
            & rinvF(X0,X1) )
        | ~ ca_Vx3(X0) ) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ca_Vx3(X0)
    <=> ? [X1] :
          ( cd(X1)
          & rinvF(X0,X1) ) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X3] :
      ( ca_Vx3(X3)
    <=> ? [X4] :
          ( cd(X4)
          & rinvF(X3,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(f456,plain,
    ( ~ cd(sK4(sK4(i2003_11_14_17_21_37349)))
    | spl6_19 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f454,plain,
    ( spl6_19
  <=> cd(sK4(sK4(i2003_11_14_17_21_37349))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).

fof(f468,plain,
    ( ~ spl6_19
    | ~ spl6_1
    | ~ spl6_12 ),
    inference(avatar_split_clause,[],[f467,f381,f277,f454]) ).

fof(f277,plain,
    ( spl6_1
  <=> cd(sK4(i2003_11_14_17_21_37349)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f467,plain,
    ( ~ cd(sK4(sK4(i2003_11_14_17_21_37349)))
    | ~ spl6_1
    | ~ spl6_12 ),
    inference(subsumption_resolution,[],[f447,f303]) ).

fof(f303,plain,
    ( cc(sK4(i2003_11_14_17_21_37349))
    | ~ spl6_1 ),
    inference(resolution,[],[f278,f183]) ).

fof(f183,plain,
    ! [X0] :
      ( ~ cd(X0)
      | cc(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ( cd(X0)
        | ~ cc(X0)
        | ! [X1] :
            ( ~ rf(X0,X1)
            | ~ ccxcomp(X1) ) )
      & ( ( cc(X0)
          & rf(X0,sK5(X0))
          & ccxcomp(sK5(X0)) )
        | ~ cd(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f137,f138]) ).

fof(f138,plain,
    ! [X0] :
      ( ? [X2] :
          ( rf(X0,X2)
          & ccxcomp(X2) )
     => ( rf(X0,sK5(X0))
        & ccxcomp(sK5(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f137,plain,
    ! [X0] :
      ( ( cd(X0)
        | ~ cc(X0)
        | ! [X1] :
            ( ~ rf(X0,X1)
            | ~ ccxcomp(X1) ) )
      & ( ( cc(X0)
          & ? [X2] :
              ( rf(X0,X2)
              & ccxcomp(X2) ) )
        | ~ cd(X0) ) ),
    inference(rectify,[],[f136]) ).

fof(f136,plain,
    ! [X0] :
      ( ( cd(X0)
        | ~ cc(X0)
        | ! [X1] :
            ( ~ rf(X0,X1)
            | ~ ccxcomp(X1) ) )
      & ( ( cc(X0)
          & ? [X1] :
              ( rf(X0,X1)
              & ccxcomp(X1) ) )
        | ~ cd(X0) ) ),
    inference(flattening,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( ( cd(X0)
        | ~ cc(X0)
        | ! [X1] :
            ( ~ rf(X0,X1)
            | ~ ccxcomp(X1) ) )
      & ( ( cc(X0)
          & ? [X1] :
              ( rf(X0,X1)
              & ccxcomp(X1) ) )
        | ~ cd(X0) ) ),
    inference(nnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( cd(X0)
    <=> ( cc(X0)
        & ? [X1] :
            ( rf(X0,X1)
            & ccxcomp(X1) ) ) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X3] :
      ( cd(X3)
    <=> ( cc(X3)
        & ? [X4] :
            ( rf(X3,X4)
            & ccxcomp(X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f278,plain,
    ( cd(sK4(i2003_11_14_17_21_37349))
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f447,plain,
    ( ~ cd(sK4(sK4(i2003_11_14_17_21_37349)))
    | ~ cc(sK4(i2003_11_14_17_21_37349))
    | ~ spl6_12 ),
    inference(superposition,[],[f219,f405]) ).

fof(f405,plain,
    ( sK4(i2003_11_14_17_21_37349) = sK5(sK4(sK4(i2003_11_14_17_21_37349)))
    | ~ spl6_12 ),
    inference(resolution,[],[f382,f262]) ).

fof(f262,plain,
    ! [X2] :
      ( ~ ca_Vx3(X2)
      | sK5(sK4(X2)) = X2 ),
    inference(subsumption_resolution,[],[f260,f172]) ).

fof(f260,plain,
    ! [X2] :
      ( ~ cd(sK4(X2))
      | ~ ca_Vx3(X2)
      | sK5(sK4(X2)) = X2 ),
    inference(resolution,[],[f255,f224]) ).

fof(f224,plain,
    ! [X1] :
      ( rf(sK4(X1),X1)
      | ~ ca_Vx3(X1) ),
    inference(resolution,[],[f175,f171]) ).

fof(f171,plain,
    ! [X0] :
      ( rinvF(X0,sK4(X0))
      | ~ ca_Vx3(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( ~ rinvF(X0,X1)
      | rf(X1,X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ( rinvF(X0,X1)
        | ~ rf(X1,X0) )
      & ( rf(X1,X0)
        | ~ rinvF(X0,X1) ) ),
    inference(rectify,[],[f131]) ).

fof(f131,plain,
    ! [X1,X0] :
      ( ( rinvF(X1,X0)
        | ~ rf(X0,X1) )
      & ( rf(X0,X1)
        | ~ rinvF(X1,X0) ) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X1,X0] :
      ( rinvF(X1,X0)
    <=> rf(X0,X1) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X4,X3] :
      ( rinvF(X3,X4)
    <=> rf(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f255,plain,
    ! [X0,X1] :
      ( ~ rf(X1,X0)
      | ~ cd(X1)
      | sK5(X1) = X0 ),
    inference(resolution,[],[f211,f182]) ).

fof(f182,plain,
    ! [X0] :
      ( rf(X0,sK5(X0))
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f211,plain,
    ! [X2,X0,X1] :
      ( ~ rf(X0,X2)
      | X1 = X2
      | ~ rf(X0,X1) ),
    inference(subsumption_resolution,[],[f155,f159]) ).

fof(f159,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X3] :
      ( cowlThing(X3)
      & ~ cowlNothing(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(f155,plain,
    ! [X2,X0,X1] :
      ( ~ rf(X0,X1)
      | ~ rf(X0,X2)
      | ~ cowlThing(X0)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ cowlThing(X0)
      | ! [X1,X2] :
          ( X1 = X2
          | ~ rf(X0,X1)
          | ~ rf(X0,X2) ) ),
    inference(rectify,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ cowlThing(X0)
      | ! [X2,X1] :
          ( X1 = X2
          | ~ rf(X0,X2)
          | ~ rf(X0,X1) ) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ~ rf(X0,X1)
          | ~ rf(X0,X2) )
      | ~ cowlThing(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( cowlThing(X0)
     => ! [X1,X2] :
          ( ( rf(X0,X1)
            & rf(X0,X2) )
         => X1 = X2 ) ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X3] :
      ( cowlThing(X3)
     => ! [X6,X5] :
          ( ( rf(X3,X5)
            & rf(X3,X6) )
         => X5 = X6 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f219,plain,
    ! [X0] :
      ( ~ cc(sK5(X0))
      | ~ cd(X0) ),
    inference(resolution,[],[f216,f181]) ).

fof(f181,plain,
    ! [X0] :
      ( ccxcomp(sK5(X0))
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f216,plain,
    ! [X0] :
      ( ~ ccxcomp(X0)
      | ~ cc(X0) ),
    inference(resolution,[],[f153,f157]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ~ ra_Px1(X0,X1)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( ( ! [X1] : ~ ra_Px1(X0,X1)
        | ~ cc(X0) )
      & ( cc(X0)
        | ra_Px1(X0,sK1(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f114,f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ? [X2] : ra_Px1(X0,X2)
     => ra_Px1(X0,sK1(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f114,plain,
    ! [X0] :
      ( ( ! [X1] : ~ ra_Px1(X0,X1)
        | ~ cc(X0) )
      & ( cc(X0)
        | ? [X2] : ra_Px1(X0,X2) ) ),
    inference(rectify,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ( ! [X1] : ~ ra_Px1(X0,X1)
        | ~ cc(X0) )
      & ( cc(X0)
        | ? [X1] : ra_Px1(X0,X1) ) ),
    inference(nnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ! [X1] : ~ ra_Px1(X0,X1)
    <=> cc(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ ? [X1] : ra_Px1(X0,X1)
    <=> cc(X0) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X3] :
      ( cc(X3)
    <=> ~ ? [X4] : ra_Px1(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f153,plain,
    ! [X0] :
      ( ra_Px1(X0,sK0(X0))
      | ~ ccxcomp(X0) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ( ra_Px1(X0,sK0(X0))
        | ~ ccxcomp(X0) )
      & ( ccxcomp(X0)
        | ! [X2] : ~ ra_Px1(X0,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f108,f109]) ).

fof(f109,plain,
    ! [X0] :
      ( ? [X1] : ra_Px1(X0,X1)
     => ra_Px1(X0,sK0(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f108,plain,
    ! [X0] :
      ( ( ? [X1] : ra_Px1(X0,X1)
        | ~ ccxcomp(X0) )
      & ( ccxcomp(X0)
        | ! [X2] : ~ ra_Px1(X0,X2) ) ),
    inference(rectify,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( ( ? [X1] : ra_Px1(X0,X1)
        | ~ ccxcomp(X0) )
      & ( ccxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) ) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( ? [X1] : ra_Px1(X0,X1)
    <=> ccxcomp(X0) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X3] :
      ( ccxcomp(X3)
    <=> ? [X5] : ra_Px1(X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f396,plain,
    spl6_12,
    inference(avatar_contradiction_clause,[],[f395]) ).

fof(f395,plain,
    ( $false
    | spl6_12 ),
    inference(subsumption_resolution,[],[f394,f145]) ).

fof(f145,plain,
    cUnsatisfiable(i2003_11_14_17_21_37349),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,axiom,
    cUnsatisfiable(i2003_11_14_17_21_37349),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).

fof(f394,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_37349)
    | spl6_12 ),
    inference(resolution,[],[f383,f248]) ).

fof(f248,plain,
    ! [X0] :
      ( ca_Vx3(sK4(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(subsumption_resolution,[],[f246,f231]) ).

fof(f231,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ca_Vx3(X0) ),
    inference(subsumption_resolution,[],[f229,f166]) ).

fof(f166,plain,
    ! [X0] :
      ( cd(sK2(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ( ( ! [X1] :
              ( ~ rinvR(X0,X1)
              | ca_Vx3(X1) )
          & ccxcomp(X0)
          & cd(sK2(X0))
          & rinvF(X0,sK2(X0)) )
        | ~ cUnsatisfiable(X0) )
      & ( cUnsatisfiable(X0)
        | ( rinvR(X0,sK3(X0))
          & ~ ca_Vx3(sK3(X0)) )
        | ~ ccxcomp(X0)
        | ! [X4] :
            ( ~ cd(X4)
            | ~ rinvF(X0,X4) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f121,f123,f122]) ).

fof(f122,plain,
    ! [X0] :
      ( ? [X2] :
          ( cd(X2)
          & rinvF(X0,X2) )
     => ( cd(sK2(X0))
        & rinvF(X0,sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ! [X0] :
      ( ? [X3] :
          ( rinvR(X0,X3)
          & ~ ca_Vx3(X3) )
     => ( rinvR(X0,sK3(X0))
        & ~ ca_Vx3(sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f121,plain,
    ! [X0] :
      ( ( ( ! [X1] :
              ( ~ rinvR(X0,X1)
              | ca_Vx3(X1) )
          & ccxcomp(X0)
          & ? [X2] :
              ( cd(X2)
              & rinvF(X0,X2) ) )
        | ~ cUnsatisfiable(X0) )
      & ( cUnsatisfiable(X0)
        | ? [X3] :
            ( rinvR(X0,X3)
            & ~ ca_Vx3(X3) )
        | ~ ccxcomp(X0)
        | ! [X4] :
            ( ~ cd(X4)
            | ~ rinvF(X0,X4) ) ) ),
    inference(rectify,[],[f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ( ( ! [X2] :
              ( ~ rinvR(X0,X2)
              | ca_Vx3(X2) )
          & ccxcomp(X0)
          & ? [X1] :
              ( cd(X1)
              & rinvF(X0,X1) ) )
        | ~ cUnsatisfiable(X0) )
      & ( cUnsatisfiable(X0)
        | ? [X2] :
            ( rinvR(X0,X2)
            & ~ ca_Vx3(X2) )
        | ~ ccxcomp(X0)
        | ! [X1] :
            ( ~ cd(X1)
            | ~ rinvF(X0,X1) ) ) ),
    inference(flattening,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ( ( ! [X2] :
              ( ~ rinvR(X0,X2)
              | ca_Vx3(X2) )
          & ccxcomp(X0)
          & ? [X1] :
              ( cd(X1)
              & rinvF(X0,X1) ) )
        | ~ cUnsatisfiable(X0) )
      & ( cUnsatisfiable(X0)
        | ? [X2] :
            ( rinvR(X0,X2)
            & ~ ca_Vx3(X2) )
        | ~ ccxcomp(X0)
        | ! [X1] :
            ( ~ cd(X1)
            | ~ rinvF(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0] :
      ( ( ! [X2] :
            ( ~ rinvR(X0,X2)
            | ca_Vx3(X2) )
        & ccxcomp(X0)
        & ? [X1] :
            ( cd(X1)
            & rinvF(X0,X1) ) )
    <=> cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ccxcomp(X0)
        & ? [X1] :
            ( cd(X1)
            & rinvF(X0,X1) )
        & ! [X2] :
            ( rinvR(X0,X2)
           => ca_Vx3(X2) ) ) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X3] :
      ( ( ? [X4] :
            ( rinvF(X3,X4)
            & cd(X4) )
        & ! [X4] :
            ( rinvR(X3,X4)
           => ca_Vx3(X4) )
        & ccxcomp(X3) )
    <=> cUnsatisfiable(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f229,plain,
    ! [X0] :
      ( ca_Vx3(X0)
      | ~ cd(sK2(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f173,f165]) ).

fof(f165,plain,
    ! [X0] :
      ( rinvF(X0,sK2(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( ~ rinvF(X0,X1)
      | ca_Vx3(X0)
      | ~ cd(X1) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f246,plain,
    ! [X0] :
      ( ca_Vx3(sK4(X0))
      | ~ ca_Vx3(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f240,f168]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ~ rinvR(X0,X1)
      | ca_Vx3(X1)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f240,plain,
    ! [X0] :
      ( rinvR(X0,sK4(X0))
      | ~ ca_Vx3(X0) ),
    inference(resolution,[],[f233,f185]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( ~ rr(X0,X1)
      | rinvR(X1,X0) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ( rr(X0,X1)
        | ~ rinvR(X1,X0) )
      & ( rinvR(X1,X0)
        | ~ rr(X0,X1) ) ),
    inference(nnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
    <=> rinvR(X1,X0) ),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ! [X4,X3] :
      ( rinvR(X3,X4)
    <=> rr(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(f233,plain,
    ! [X0] :
      ( rr(sK4(X0),X0)
      | ~ ca_Vx3(X0) ),
    inference(resolution,[],[f224,f189]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ~ rf(X1,X0)
      | rr(X1,X0) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ rf(X1,X0)
      | rr(X1,X0) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( rf(X1,X0)
     => rr(X1,X0) ),
    inference(rectify,[],[f32]) ).

fof(f32,axiom,
    ! [X4,X3] :
      ( rf(X3,X4)
     => rr(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

fof(f383,plain,
    ( ~ ca_Vx3(sK4(i2003_11_14_17_21_37349))
    | spl6_12 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f302,plain,
    spl6_1,
    inference(avatar_contradiction_clause,[],[f301]) ).

fof(f301,plain,
    ( $false
    | spl6_1 ),
    inference(subsumption_resolution,[],[f300,f232]) ).

fof(f232,plain,
    ca_Vx3(i2003_11_14_17_21_37349),
    inference(resolution,[],[f231,f145]) ).

fof(f300,plain,
    ( ~ ca_Vx3(i2003_11_14_17_21_37349)
    | spl6_1 ),
    inference(resolution,[],[f279,f172]) ).

fof(f279,plain,
    ( ~ cd(sK4(i2003_11_14_17_21_37349))
    | spl6_1 ),
    inference(avatar_component_clause,[],[f277]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : KRS117+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 00:37:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  % (6436)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.48  % (6451)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)
% 0.19/0.48  TRYING [1]
% 0.19/0.48  TRYING [2]
% 0.19/0.48  TRYING [3]
% 0.19/0.48  TRYING [4]
% 0.19/0.48  TRYING [5]
% 0.19/0.48  % (6449)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.49  TRYING [6]
% 0.19/0.49  % (6449)First to succeed.
% 0.19/0.49  % (6451)Also succeeded, but the first one will report.
% 0.19/0.49  TRYING [7]
% 0.19/0.49  % (6449)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (6449)------------------------------
% 0.19/0.50  % (6449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (6449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (6449)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (6449)Memory used [KB]: 5628
% 0.19/0.50  % (6449)Time elapsed: 0.107 s
% 0.19/0.50  % (6449)Instructions burned: 6 (million)
% 0.19/0.50  % (6449)------------------------------
% 0.19/0.50  % (6449)------------------------------
% 0.19/0.50  % (6435)Success in time 0.148 s
%------------------------------------------------------------------------------