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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : KRS084+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:42:14 AM UTC 2026

% Result   : Unsatisfiable 0.09s 0.45s
% Output   : Refutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  103 (  13 unt;   7 def)
%            Number of atoms       :  307 (   9 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  322 ( 118   ~; 134   |;  53   &)
%                                         (  13 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   8 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :  120 (   0 sgn 101   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f18,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( rinvF(X0,X1)
            & cd(X1) )
        & ! [X1] :
            ( rinvR(X0,X1)
           => ? [X2] :
                ( rinvF(X1,X2)
                & cd(X2) ) )
        & ~ cc(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f19,axiom,
    ! [X0] :
      ( cd(X0)
    <=> ( ? [X1] :
            ( rf(X0,X1)
            & ~ cc(X1) )
        & cc(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f20,axiom,
    ! [X0,X1,X2] :
      ( ( rf(X0,X1)
        & rf(X0,X2) )
     => X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( rinvF(X0,X1)
    <=> rf(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( rinvR(X0,X1)
    <=> rr(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f24,axiom,
    cUnsatisfiable(i2003_11_14_17_19_35232),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( rf(X0,X1)
     => rr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

fof(f26,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( rinvF(X0,X1)
            & cd(X1) )
        & ! [X2] :
            ( rinvR(X0,X2)
           => ? [X3] :
                ( rinvF(X2,X3)
                & cd(X3) ) )
        & ~ cc(X0) ) ),
    inference(rectify,[],[f18]) ).

fof(f57,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( rinvF(X0,X1)
            & cd(X1) )
        & ! [X2] :
            ( ? [X3] :
                ( rinvF(X2,X3)
                & cd(X3) )
            | ~ rinvR(X0,X2) )
        & ~ cc(X0) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rf(X0,X1)
      | ~ rf(X0,X2) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f59,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rf(X0,X1)
      | ~ rf(X0,X2) ),
    inference(flattening,[],[f58]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | ~ rf(X0,X1) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f64,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ rinvF(X0,X1)
            | ~ cd(X1) )
        | ? [X2] :
            ( ! [X3] :
                ( ~ rinvF(X2,X3)
                | ~ cd(X3) )
            & rinvR(X0,X2) )
        | cc(X0) )
      & ( ( ? [X1] :
              ( rinvF(X0,X1)
              & cd(X1) )
          & ! [X2] :
              ( ? [X3] :
                  ( rinvF(X2,X3)
                  & cd(X3) )
              | ~ rinvR(X0,X2) )
          & ~ cc(X0) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f57]) ).

fof(f65,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ rinvF(X0,X1)
            | ~ cd(X1) )
        | ? [X2] :
            ( ! [X3] :
                ( ~ rinvF(X2,X3)
                | ~ cd(X3) )
            & rinvR(X0,X2) )
        | cc(X0) )
      & ( ( ? [X1] :
              ( rinvF(X0,X1)
              & cd(X1) )
          & ! [X2] :
              ( ? [X3] :
                  ( rinvF(X2,X3)
                  & cd(X3) )
              | ~ rinvR(X0,X2) )
          & ~ cc(X0) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(flattening,[],[f64]) ).

fof(f66,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ rinvF(X0,X1)
            | ~ cd(X1) )
        | ? [X2] :
            ( ! [X3] :
                ( ~ rinvF(X2,X3)
                | ~ cd(X3) )
            & rinvR(X0,X2) )
        | cc(X0) )
      & ( ( ? [X4] :
              ( rinvF(X0,X4)
              & cd(X4) )
          & ! [X5] :
              ( ? [X6] :
                  ( rinvF(X5,X6)
                  & cd(X6) )
              | ~ rinvR(X0,X5) )
          & ~ cc(X0) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(rectify,[],[f65]) ).

fof(f67,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ rinvF(X0,X1)
            | ~ cd(X1) )
        | ( ! [X3] :
              ( ~ rinvF(sK0(X0),X3)
              | ~ cd(X3) )
          & rinvR(X0,sK0(X0)) )
        | cc(X0) )
      & ( ( rinvF(X0,sK1(X0))
          & cd(sK1(X0))
          & ! [X5] :
              ( ( rinvF(X5,sK2(X5))
                & cd(sK2(X5)) )
              | ~ rinvR(X0,X5) )
          & ~ cc(X0) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X2,sK0(X0)),skolemize(X4,sK1(X0)),skolemize(X6,sK2(X5))],[f66]) ).

fof(f68,plain,
    ! [X0] :
      ( ( cd(X0)
        | ! [X1] :
            ( ~ rf(X0,X1)
            | cc(X1) )
        | ~ cc(X0) )
      & ( ( ? [X1] :
              ( rf(X0,X1)
              & ~ cc(X1) )
          & cc(X0) )
        | ~ cd(X0) ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f69,plain,
    ! [X0] :
      ( ( cd(X0)
        | ! [X1] :
            ( ~ rf(X0,X1)
            | cc(X1) )
        | ~ cc(X0) )
      & ( ( ? [X1] :
              ( rf(X0,X1)
              & ~ cc(X1) )
          & cc(X0) )
        | ~ cd(X0) ) ),
    inference(flattening,[],[f68]) ).

fof(f70,plain,
    ! [X0] :
      ( ( cd(X0)
        | ! [X1] :
            ( ~ rf(X0,X1)
            | cc(X1) )
        | ~ cc(X0) )
      & ( ( ? [X2] :
              ( rf(X0,X2)
              & ~ cc(X2) )
          & cc(X0) )
        | ~ cd(X0) ) ),
    inference(rectify,[],[f69]) ).

fof(f71,plain,
    ! [X0] :
      ( ( cd(X0)
        | ! [X1] :
            ( ~ rf(X0,X1)
            | cc(X1) )
        | ~ cc(X0) )
      & ( ( rf(X0,sK3(X0))
          & ~ cc(sK3(X0))
          & cc(X0) )
        | ~ cd(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0))],[f70]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ( rinvF(X0,X1)
        | ~ rf(X1,X0) )
      & ( rf(X1,X0)
        | ~ rinvF(X0,X1) ) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ( rinvR(X0,X1)
        | ~ rr(X1,X0) )
      & ( rr(X1,X0)
        | ~ rinvR(X0,X1) ) ),
    inference(nnf_transformation,[],[f22]) ).

fof(f94,plain,
    ! [X0,X5] :
      ( cd(sK2(X5))
      | ~ rinvR(X0,X5)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f95,plain,
    ! [X0,X5] :
      ( rinvF(X5,sK2(X5))
      | ~ rinvR(X0,X5)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f96,plain,
    ! [X0] :
      ( cd(sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f97,plain,
    ! [X0] :
      ( rinvF(X0,sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ cd(X0)
      | cc(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ cd(X0)
      | ~ cc(sK3(X0)) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f102,plain,
    ! [X0] :
      ( rf(X0,sK3(X0))
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f104,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | ~ rf(X0,X1)
      | ~ rf(X0,X2) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( rf(X1,X0)
      | ~ rinvF(X0,X1) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( rinvR(X0,X1)
      | ~ rr(X1,X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f110,plain,
    cUnsatisfiable(i2003_11_14_17_19_35232),
    inference(cnf_transformation,[],[f24]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | ~ rf(X0,X1) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f139,plain,
    ! [X0] :
      ( rinvF(X0,sK1(X0))
      | cUnsatisfiable(X0) ),
    inference(consistent_polarity_flipping,[],[f97]) ).

fof(f140,plain,
    ! [X0] :
      ( cd(sK1(X0))
      | cUnsatisfiable(X0) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f141,plain,
    ! [X0,X5] :
      ( rinvF(X5,sK2(X5))
      | rinvR(X0,X5)
      | cUnsatisfiable(X0) ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f142,plain,
    ! [X0,X5] :
      ( cd(sK2(X5))
      | rinvR(X0,X5)
      | cUnsatisfiable(X0) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f145,plain,
    ! [X0] :
      ( ~ rf(X0,sK3(X0))
      | ~ cd(X0) ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f146,plain,
    ! [X2,X0,X1] :
      ( rf(X0,X2)
      | rf(X0,X1)
      | X1 = X2 ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( ~ rinvF(X0,X1)
      | ~ rf(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f105]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( rr(X1,X0)
      | ~ rinvR(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f152,plain,
    ~ cUnsatisfiable(i2003_11_14_17_19_35232),
    inference(consistent_polarity_flipping,[],[f110]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ~ rr(X0,X1)
      | rf(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f158,plain,
    ! [X0] :
      ( ~ rf(sK1(X0),X0)
      | cUnsatisfiable(X0) ),
    inference(resolution,[],[f148,f139]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( ~ rinvR(X1,X0)
      | rf(X0,X1) ),
    inference(resolution,[],[f153,f149]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( cUnsatisfiable(X0)
      | rinvR(X0,X1)
      | ~ cc(sK3(sK2(X1))) ),
    inference(resolution,[],[f142,f101]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( cUnsatisfiable(X0)
      | rinvR(X0,X1)
      | ~ rf(sK2(X1),X1) ),
    inference(resolution,[],[f141,f148]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( rf(X0,X1)
      | sK3(X0) = X1
      | ~ cd(X0) ),
    inference(resolution,[],[f146,f145]) ).

fof(f172,plain,
    ! [X0] :
      ( rinvR(i2003_11_14_17_19_35232,X0)
      | ~ cc(sK3(sK2(X0))) ),
    inference(resolution,[],[f162,f152]) ).

fof(f173,plain,
    ! [X0] :
      ( rf(X0,i2003_11_14_17_19_35232)
      | ~ cc(sK3(sK2(X0))) ),
    inference(resolution,[],[f172,f161]) ).

fof(f174,plain,
    ( ~ cc(sK3(sK2(sK1(i2003_11_14_17_19_35232))))
    | cUnsatisfiable(i2003_11_14_17_19_35232) ),
    inference(resolution,[],[f173,f158]) ).

fof(f176,definition,
    ( spl4_1
  <=> cUnsatisfiable(i2003_11_14_17_19_35232) ),
    introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).

fof(f178,plain,
    ( cUnsatisfiable(i2003_11_14_17_19_35232)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f180,definition,
    ( spl4_2
  <=> cc(sK3(sK2(sK1(i2003_11_14_17_19_35232)))) ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

fof(f182,plain,
    ( ~ cc(sK3(sK2(sK1(i2003_11_14_17_19_35232))))
    | spl4_2 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f183,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f174,f180,f176]) ).

fof(f184,plain,
    ! [X0] :
      ( rinvR(i2003_11_14_17_19_35232,X0)
      | ~ rf(sK2(X0),X0) ),
    inference(resolution,[],[f165,f152]) ).

fof(f185,plain,
    ! [X0] :
      ( rf(X0,i2003_11_14_17_19_35232)
      | ~ rf(sK2(X0),X0) ),
    inference(resolution,[],[f184,f161]) ).

fof(f186,plain,
    ( ~ rf(sK2(sK1(i2003_11_14_17_19_35232)),sK1(i2003_11_14_17_19_35232))
    | cUnsatisfiable(i2003_11_14_17_19_35232) ),
    inference(resolution,[],[f185,f158]) ).

fof(f188,definition,
    ( spl4_3
  <=> rf(sK2(sK1(i2003_11_14_17_19_35232)),sK1(i2003_11_14_17_19_35232)) ),
    introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).

fof(f190,plain,
    ( ~ rf(sK2(sK1(i2003_11_14_17_19_35232)),sK1(i2003_11_14_17_19_35232))
    | spl4_3 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f191,plain,
    ( spl4_1
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f186,f188,f176]) ).

fof(f197,plain,
    ( sK1(i2003_11_14_17_19_35232) = sK3(sK2(sK1(i2003_11_14_17_19_35232)))
    | ~ cd(sK2(sK1(i2003_11_14_17_19_35232)))
    | spl4_3 ),
    inference(resolution,[],[f168,f190]) ).

fof(f200,definition,
    ( spl4_4
  <=> cd(sK2(sK1(i2003_11_14_17_19_35232))) ),
    introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).

fof(f202,plain,
    ( ~ cd(sK2(sK1(i2003_11_14_17_19_35232)))
    | spl4_4 ),
    inference(avatar_component_clause,[],[f200]) ).

fof(f204,definition,
    ( spl4_5
  <=> sK1(i2003_11_14_17_19_35232) = sK3(sK2(sK1(i2003_11_14_17_19_35232))) ),
    introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).

fof(f206,plain,
    ( sK1(i2003_11_14_17_19_35232) = sK3(sK2(sK1(i2003_11_14_17_19_35232)))
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f207,plain,
    ( ~ spl4_4
    | spl4_5
    | spl4_3 ),
    inference(avatar_split_clause,[],[f197,f188,f204,f200]) ).

fof(f208,plain,
    ( ! [X0] :
        ( rinvR(X0,sK1(i2003_11_14_17_19_35232))
        | cUnsatisfiable(X0) )
    | spl4_4 ),
    inference(resolution,[],[f202,f142]) ).

fof(f219,plain,
    ( ! [X0] :
        ( rf(sK1(i2003_11_14_17_19_35232),X0)
        | cUnsatisfiable(X0) )
    | spl4_4 ),
    inference(resolution,[],[f208,f161]) ).

fof(f220,plain,
    ( cUnsatisfiable(i2003_11_14_17_19_35232)
    | cUnsatisfiable(i2003_11_14_17_19_35232)
    | spl4_4 ),
    inference(resolution,[],[f219,f158]) ).

fof(f222,plain,
    ( cUnsatisfiable(i2003_11_14_17_19_35232)
    | spl4_4 ),
    inference(duplicate_literal_removal,[],[f220]) ).

fof(f224,definition,
    ( spl4_8
  <=> cd(sK1(i2003_11_14_17_19_35232)) ),
    introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).

fof(f225,plain,
    ( cd(sK1(i2003_11_14_17_19_35232))
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f226,plain,
    ( ~ cd(sK1(i2003_11_14_17_19_35232))
    | spl4_8 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f232,plain,
    ( spl4_1
    | spl4_4 ),
    inference(avatar_split_clause,[],[f222,f200,f176]) ).

fof(f233,plain,
    ( $false
    | ~ spl4_1 ),
    inference(resolution,[],[f178,f152]) ).

fof(f234,plain,
    ~ spl4_1,
    inference(avatar_contradiction_clause,[],[f233]) ).

fof(f235,plain,
    ( cUnsatisfiable(i2003_11_14_17_19_35232)
    | spl4_8 ),
    inference(resolution,[],[f226,f140]) ).

fof(f238,definition,
    ( spl4_10
  <=> cc(sK1(i2003_11_14_17_19_35232)) ),
    introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).

fof(f245,plain,
    ( spl4_1
    | spl4_8 ),
    inference(avatar_split_clause,[],[f235,f224,f176]) ).

fof(f247,plain,
    ( cc(sK1(i2003_11_14_17_19_35232))
    | ~ spl4_8 ),
    inference(resolution,[],[f225,f100]) ).

fof(f248,plain,
    ( spl4_10
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f247,f224,f238]) ).

fof(f274,plain,
    ( ~ cc(sK1(i2003_11_14_17_19_35232))
    | spl4_2
    | ~ spl4_5 ),
    inference(superposition,[],[f182,f206]) ).

fof(f276,plain,
    ( ~ spl4_10
    | spl4_2
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f274,f204,f180,f238]) ).

cnf(s1,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(sat_conversion,[],[f183]) ).

cnf(s2,plain,
    ( spl4_1
    | ~ spl4_3 ),
    inference(sat_conversion,[],[f191]) ).

cnf(s3,plain,
    ( spl4_3
    | ~ spl4_4
    | spl4_5 ),
    inference(sat_conversion,[],[f207]) ).

cnf(s6,plain,
    ( spl4_1
    | spl4_4 ),
    inference(sat_conversion,[],[f232]) ).

cnf(s7,plain,
    ~ spl4_1,
    inference(sat_conversion,[],[f234]) ).

cnf(s9,plain,
    ( spl4_1
    | spl4_8 ),
    inference(sat_conversion,[],[f245]) ).

cnf(s10,plain,
    ( ~ spl4_8
    | spl4_10 ),
    inference(sat_conversion,[],[f248]) ).

cnf(s13,plain,
    ( spl4_2
    | ~ spl4_5
    | ~ spl4_10 ),
    inference(sat_conversion,[],[f276]) ).

cnf(s14,plain,
    spl4_8,
    inference(rat,[],[s9,s7]) ).

cnf(s15,plain,
    spl4_10,
    inference(rat,[],[s10,s14]) ).

cnf(s16,plain,
    spl4_4,
    inference(rat,[],[s6,s7]) ).

cnf(s18,plain,
    ( spl4_3
    | spl4_5 ),
    inference(rat,[],[s3,s16]) ).

cnf(s19,plain,
    ~ spl4_3,
    inference(rat,[],[s2,s7]) ).

cnf(s20,plain,
    spl4_5,
    inference(rat,[],[s18,s19]) ).

cnf(s21,plain,
    spl4_2,
    inference(rat,[],[s13,s15,s20]) ).

cnf(s22,plain,
    $false,
    inference(rat,[],[s1,s21,s7]) ).

fof(f277,plain,
    $false,
    inference(avatar_sat_refutation,[],[s22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS084+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37  % Computer : n004.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Sun Sep 27 13:22:06 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40  Running first-order model finding
% 0.09/0.40  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.45  % (3525186)Will run a generic schedule for satisfiability detection.
% 0.09/0.45  % (3525192)% WARNING: option uhcvi not known.
% 0.09/0.45  % (3525194)dis+10_1_sil=32000:sp=arity:random_seed=3771570133:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.45  % (3525192)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=521861816:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.45  % (3525193)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3712141380:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.45  % (3525195)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=66376662:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.45  % (3525196)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=72342614:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.45  % (3525197)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2467220936:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.45  % (3525191)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1117291520_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.45  % (3525197) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3525186-3525197"...
% 0.09/0.45  % TRYING [1]
% 0.09/0.45  % TRYING [2]
% 0.09/0.45  % TRYING [3]
% 0.09/0.45  % TRYING [4]
% 0.09/0.45  % (3525196) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3525186-3525196"...
% 0.09/0.45  % TRYING [5]
% 0.09/0.45  % (3525195) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3525186-3525195"...
% 0.09/0.45  % (3525197)...printing done.
% 0.09/0.45  % TRYING [6]
% 0.09/0.45  % (3525196)...printing done.
% 0.09/0.45  % (3525195)...printing done.
% 0.09/0.45  % (3525197)Refutation found. Thanks to Tanya!
% 0.09/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.09/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.45  % (3525197)------------------------------
% 0.09/0.45  % (3525197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.45  % (3525197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.45  % (3525197)CaDiCaL version: 2.1.3
% 0.09/0.45  % (3525197)Termination reason: Refutation
% 0.09/0.45  % (3525197)Time elapsed: 0.005 s
% 0.09/0.45  % (3525197)Peak memory usage: 12 MB
% 0.09/0.45  % (3525197)Instructions burned: 6 (million)
% 0.09/0.45  % (3525186)Success in time 0.043 s
% 0.09/0.45  % Vampire exiting
%------------------------------------------------------------------------------