TSTP Solution File: KRS159+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : KRS159+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n028.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 07:19:52 EDT 2024

% Result   : Theorem 0.21s 0.42s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :  123
% Syntax   : Number of formulae    :  459 (  65 unt;   0 def)
%            Number of atoms       : 1726 (   0 equ)
%            Maximal formula atoms :   56 (   3 avg)
%            Number of connectives : 2065 ( 798   ~; 802   |; 348   &)
%                                         ( 104 <=>;  12  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   56 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :  118 ( 117 usr;  55 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  11 con; 0-1 aty)
%            Number of variables   :  287 ( 240   !;  47   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3476,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1916,f1917,f1918,f1919,f1920,f1921,f1923,f1930,f1934,f1944,f1946,f1949,f1950,f1953,f1956,f1961,f1962,f1965,f1968,f1969,f1972,f1975,f1980,f1983,f1986,f1999,f2002,f2005,f2010,f2013,f2014,f2017,f2018,f2021,f2024,f2027,f2032,f2039,f2044,f2049,f2055,f2058,f2061,f2068,f2072,f2074,f2077,f2512,f2555,f2580,f2601,f2637,f3462,f3470,f3472,f3475]) ).

fof(f3475,plain,
    ( ~ spl125_3
    | ~ spl125_4 ),
    inference(avatar_contradiction_clause,[],[f3474]) ).

fof(f3474,plain,
    ( $false
    | ~ spl125_3
    | ~ spl125_4 ),
    inference(subsumption_resolution,[],[f3473,f1710]) ).

fof(f1710,plain,
    ( xsd_string(sK0)
    | ~ spl125_3 ),
    inference(avatar_component_clause,[],[f1709]) ).

fof(f1709,plain,
    ( spl125_3
  <=> xsd_string(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_3])]) ).

fof(f3473,plain,
    ( ~ xsd_string(sK0)
    | ~ spl125_4 ),
    inference(resolution,[],[f1715,f1272]) ).

fof(f1272,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f548]) ).

fof(f548,plain,
    ! [X0] :
      ( ( xsd_string(X0)
        | xsd_integer(X0) )
      & ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( xsd_string(X0)
    <=> ~ xsd_integer(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f1715,plain,
    ( xsd_integer(sK0)
    | ~ spl125_4 ),
    inference(avatar_component_clause,[],[f1713]) ).

fof(f1713,plain,
    ( spl125_4
  <=> xsd_integer(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_4])]) ).

fof(f3472,plain,
    ~ spl125_2,
    inference(avatar_contradiction_clause,[],[f3471]) ).

fof(f3471,plain,
    ( $false
    | ~ spl125_2 ),
    inference(subsumption_resolution,[],[f1707,f1243]) ).

fof(f1243,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(f1707,plain,
    ( cowlNothing(sK1)
    | ~ spl125_2 ),
    inference(avatar_component_clause,[],[f1705]) ).

fof(f1705,plain,
    ( spl125_2
  <=> cowlNothing(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_2])]) ).

fof(f3470,plain,
    ( spl125_3
    | spl125_4 ),
    inference(avatar_contradiction_clause,[],[f3469]) ).

fof(f3469,plain,
    ( $false
    | spl125_3
    | spl125_4 ),
    inference(subsumption_resolution,[],[f3468,f1711]) ).

fof(f1711,plain,
    ( ~ xsd_string(sK0)
    | spl125_3 ),
    inference(avatar_component_clause,[],[f1709]) ).

fof(f3468,plain,
    ( xsd_string(sK0)
    | spl125_4 ),
    inference(resolution,[],[f1714,f1273]) ).

fof(f1273,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f548]) ).

fof(f1714,plain,
    ( ~ xsd_integer(sK0)
    | spl125_4 ),
    inference(avatar_component_clause,[],[f1713]) ).

fof(f3462,plain,
    spl125_52,
    inference(avatar_contradiction_clause,[],[f3461]) ).

fof(f3461,plain,
    ( $false
    | spl125_52 ),
    inference(subsumption_resolution,[],[f3459,f1167]) ).

fof(f1167,plain,
    cC74xcomp(iV21030),
    inference(cnf_transformation,[],[f308]) ).

fof(f308,axiom,
    cC74xcomp(iV21030),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_307) ).

fof(f3459,plain,
    ( ~ cC74xcomp(iV21030)
    | spl125_52 ),
    inference(resolution,[],[f2885,f1688]) ).

fof(f1688,plain,
    ! [X0,X1] :
      ( ~ ra_Px87(X0,X1)
      | ~ cC74xcomp(X0) ),
    inference(cnf_transformation,[],[f533]) ).

fof(f533,plain,
    ! [X0] :
      ( ! [X1] : ~ ra_Px87(X0,X1)
      | ~ cC74xcomp(X0) ),
    inference(ennf_transformation,[],[f435]) ).

fof(f435,plain,
    ! [X0] :
      ( cC74xcomp(X0)
     => ~ ? [X1] : ra_Px87(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f429]) ).

fof(f429,plain,
    ! [X0] :
      ( cC74xcomp(X0)
    <=> ~ ? [X1] : ra_Px87(X0,X1) ),
    inference(rectify,[],[f164]) ).

fof(f164,axiom,
    ! [X0] :
      ( cC74xcomp(X0)
    <=> ~ ? [X2] : ra_Px87(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_163) ).

fof(f2885,plain,
    ( ra_Px87(iV21030,sK72(iV21030))
    | spl125_52 ),
    inference(resolution,[],[f2883,f1472]) ).

fof(f1472,plain,
    ! [X0] :
      ( ~ cC74(X0)
      | ra_Px87(X0,sK72(X0)) ),
    inference(cnf_transformation,[],[f856]) ).

fof(f856,plain,
    ! [X0] :
      ( ( cC74(X0)
        | ! [X1] : ~ ra_Px87(X0,X1) )
      & ( ra_Px87(X0,sK72(X0))
        | ~ cC74(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK72])],[f854,f855]) ).

fof(f855,plain,
    ! [X0] :
      ( ? [X2] : ra_Px87(X0,X2)
     => ra_Px87(X0,sK72(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f854,plain,
    ! [X0] :
      ( ( cC74(X0)
        | ! [X1] : ~ ra_Px87(X0,X1) )
      & ( ? [X2] : ra_Px87(X0,X2)
        | ~ cC74(X0) ) ),
    inference(rectify,[],[f853]) ).

fof(f853,plain,
    ! [X0] :
      ( ( cC74(X0)
        | ! [X1] : ~ ra_Px87(X0,X1) )
      & ( ? [X1] : ra_Px87(X0,X1)
        | ~ cC74(X0) ) ),
    inference(nnf_transformation,[],[f163]) ).

fof(f163,axiom,
    ! [X0] :
      ( cC74(X0)
    <=> ? [X1] : ra_Px87(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_162) ).

fof(f2883,plain,
    ( cC74(iV21030)
    | spl125_52 ),
    inference(subsumption_resolution,[],[f2880,f1907]) ).

fof(f1907,plain,
    ( ~ cC72(iV21030)
    | spl125_52 ),
    inference(avatar_component_clause,[],[f1905]) ).

fof(f1905,plain,
    ( spl125_52
  <=> cC72(iV21030) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_52])]) ).

fof(f2880,plain,
    ( cC74(iV21030)
    | cC72(iV21030) ),
    inference(resolution,[],[f2192,f1132]) ).

fof(f1132,plain,
    cC18xcomp(iV21030),
    inference(cnf_transformation,[],[f294]) ).

fof(f294,axiom,
    cC18xcomp(iV21030),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_293) ).

fof(f2192,plain,
    ! [X0] :
      ( ~ cC18xcomp(X0)
      | cC74(X0)
      | cC72(X0) ),
    inference(resolution,[],[f1422,f2166]) ).

fof(f2166,plain,
    ! [X0] :
      ( cC72xcomp(X0)
      | cC72(X0) ),
    inference(resolution,[],[f1281,f1605]) ).

fof(f1605,plain,
    ! [X0,X1] :
      ( ~ ra_Px24(X0,X1)
      | cC72(X0) ),
    inference(cnf_transformation,[],[f974]) ).

fof(f974,plain,
    ! [X0] :
      ( ( cC72(X0)
        | ! [X1] : ~ ra_Px24(X0,X1) )
      & ( ra_Px24(X0,sK85(X0))
        | ~ cC72(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK85])],[f972,f973]) ).

fof(f973,plain,
    ! [X0] :
      ( ? [X2] : ra_Px24(X0,X2)
     => ra_Px24(X0,sK85(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f972,plain,
    ! [X0] :
      ( ( cC72(X0)
        | ! [X1] : ~ ra_Px24(X0,X1) )
      & ( ? [X2] : ra_Px24(X0,X2)
        | ~ cC72(X0) ) ),
    inference(rectify,[],[f971]) ).

fof(f971,plain,
    ! [X0] :
      ( ( cC72(X0)
        | ! [X1] : ~ ra_Px24(X0,X1) )
      & ( ? [X1] : ra_Px24(X0,X1)
        | ~ cC72(X0) ) ),
    inference(nnf_transformation,[],[f159]) ).

fof(f159,axiom,
    ! [X0] :
      ( cC72(X0)
    <=> ? [X1] : ra_Px24(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_158) ).

fof(f1281,plain,
    ! [X0] :
      ( ra_Px24(X0,sK5(X0))
      | cC72xcomp(X0) ),
    inference(cnf_transformation,[],[f564]) ).

fof(f564,plain,
    ! [X0] :
      ( ( cC72xcomp(X0)
        | ra_Px24(X0,sK5(X0)) )
      & ( ! [X2] : ~ ra_Px24(X0,X2)
        | ~ cC72xcomp(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f562,f563]) ).

fof(f563,plain,
    ! [X0] :
      ( ? [X1] : ra_Px24(X0,X1)
     => ra_Px24(X0,sK5(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f562,plain,
    ! [X0] :
      ( ( cC72xcomp(X0)
        | ? [X1] : ra_Px24(X0,X1) )
      & ( ! [X2] : ~ ra_Px24(X0,X2)
        | ~ cC72xcomp(X0) ) ),
    inference(rectify,[],[f561]) ).

fof(f561,plain,
    ! [X0] :
      ( ( cC72xcomp(X0)
        | ? [X1] : ra_Px24(X0,X1) )
      & ( ! [X1] : ~ ra_Px24(X0,X1)
        | ~ cC72xcomp(X0) ) ),
    inference(nnf_transformation,[],[f487]) ).

fof(f487,plain,
    ! [X0] :
      ( cC72xcomp(X0)
    <=> ! [X1] : ~ ra_Px24(X0,X1) ),
    inference(ennf_transformation,[],[f349]) ).

fof(f349,plain,
    ! [X0] :
      ( cC72xcomp(X0)
    <=> ~ ? [X1] : ra_Px24(X0,X1) ),
    inference(rectify,[],[f161]) ).

fof(f161,axiom,
    ! [X0] :
      ( cC72xcomp(X0)
    <=> ~ ? [X2] : ra_Px24(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_160) ).

fof(f1422,plain,
    ! [X0] :
      ( ~ cC72xcomp(X0)
      | ~ cC18xcomp(X0)
      | cC74(X0) ),
    inference(cnf_transformation,[],[f782]) ).

fof(f782,plain,
    ! [X0] :
      ( ( cC74(X0)
        | ~ cC18xcomp(X0)
        | ~ cC72xcomp(X0) )
      & ( ( cC18xcomp(X0)
          & cC72xcomp(X0) )
        | ~ cC74(X0) ) ),
    inference(flattening,[],[f781]) ).

fof(f781,plain,
    ! [X0] :
      ( ( cC74(X0)
        | ~ cC18xcomp(X0)
        | ~ cC72xcomp(X0) )
      & ( ( cC18xcomp(X0)
          & cC72xcomp(X0) )
        | ~ cC74(X0) ) ),
    inference(nnf_transformation,[],[f162]) ).

fof(f162,axiom,
    ! [X0] :
      ( cC74(X0)
    <=> ( cC18xcomp(X0)
        & cC72xcomp(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_161) ).

fof(f2637,plain,
    spl125_48,
    inference(avatar_split_clause,[],[f2634,f1889]) ).

fof(f1889,plain,
    ( spl125_48
  <=> cC24(iV21027) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_48])]) ).

fof(f2634,plain,
    cC24(iV21027),
    inference(resolution,[],[f2484,f1235]) ).

fof(f1235,plain,
    rR1(iV21027,iV21036),
    inference(cnf_transformation,[],[f253]) ).

fof(f253,axiom,
    rR1(iV21027,iV21036),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_252) ).

fof(f2484,plain,
    ! [X0] :
      ( ~ rR1(X0,iV21036)
      | cC24(X0) ),
    inference(resolution,[],[f1637,f1191]) ).

fof(f1191,plain,
    cC2xcomp(iV21036),
    inference(cnf_transformation,[],[f338]) ).

fof(f338,axiom,
    cC2xcomp(iV21036),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_337) ).

fof(f1637,plain,
    ! [X0,X1] :
      ( ~ cC2xcomp(X1)
      | cC24(X0)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f1018]) ).

fof(f1018,plain,
    ! [X0] :
      ( ( cC24(X0)
        | ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ( cC2xcomp(sK96(X0))
          & rR1(X0,sK96(X0)) )
        | ~ cC24(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK96])],[f1016,f1017]) ).

fof(f1017,plain,
    ! [X0] :
      ( ? [X2] :
          ( cC2xcomp(X2)
          & rR1(X0,X2) )
     => ( cC2xcomp(sK96(X0))
        & rR1(X0,sK96(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1016,plain,
    ! [X0] :
      ( ( cC24(X0)
        | ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X2] :
            ( cC2xcomp(X2)
            & rR1(X0,X2) )
        | ~ cC24(X0) ) ),
    inference(rectify,[],[f1015]) ).

fof(f1015,plain,
    ! [X0] :
      ( ( cC24(X0)
        | ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X1] :
            ( cC2xcomp(X1)
            & rR1(X0,X1) )
        | ~ cC24(X0) ) ),
    inference(nnf_transformation,[],[f406]) ).

fof(f406,plain,
    ! [X0] :
      ( cC24(X0)
    <=> ? [X1] :
          ( cC2xcomp(X1)
          & rR1(X0,X1) ) ),
    inference(rectify,[],[f103]) ).

fof(f103,axiom,
    ! [X0] :
      ( cC24(X0)
    <=> ? [X2] :
          ( cC2xcomp(X2)
          & rR1(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_102) ).

fof(f2601,plain,
    spl125_53,
    inference(avatar_split_clause,[],[f2600,f1909]) ).

fof(f1909,plain,
    ( spl125_53
  <=> cC66(iV21030) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_53])]) ).

fof(f2600,plain,
    cC66(iV21030),
    inference(resolution,[],[f2466,f1234]) ).

fof(f1234,plain,
    rR1(iV21030,iV21032),
    inference(cnf_transformation,[],[f310]) ).

fof(f310,axiom,
    rR1(iV21030,iV21032),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_309) ).

fof(f2466,plain,
    ! [X0] :
      ( ~ rR1(X0,iV21032)
      | cC66(X0) ),
    inference(resolution,[],[f1631,f1189]) ).

fof(f1189,plain,
    cC2xcomp(iV21032),
    inference(cnf_transformation,[],[f313]) ).

fof(f313,axiom,
    cC2xcomp(iV21032),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_312) ).

fof(f1631,plain,
    ! [X0,X1] :
      ( ~ cC2xcomp(X1)
      | cC66(X0)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f1010]) ).

fof(f1010,plain,
    ! [X0] :
      ( ( cC66(X0)
        | ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ( cC2xcomp(sK94(X0))
          & rR1(X0,sK94(X0)) )
        | ~ cC66(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK94])],[f1008,f1009]) ).

fof(f1009,plain,
    ! [X0] :
      ( ? [X2] :
          ( cC2xcomp(X2)
          & rR1(X0,X2) )
     => ( cC2xcomp(sK94(X0))
        & rR1(X0,sK94(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1008,plain,
    ! [X0] :
      ( ( cC66(X0)
        | ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X2] :
            ( cC2xcomp(X2)
            & rR1(X0,X2) )
        | ~ cC66(X0) ) ),
    inference(rectify,[],[f1007]) ).

fof(f1007,plain,
    ! [X0] :
      ( ( cC66(X0)
        | ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X1] :
            ( cC2xcomp(X1)
            & rR1(X0,X1) )
        | ~ cC66(X0) ) ),
    inference(nnf_transformation,[],[f404]) ).

fof(f404,plain,
    ! [X0] :
      ( cC66(X0)
    <=> ? [X1] :
          ( cC2xcomp(X1)
          & rR1(X0,X1) ) ),
    inference(rectify,[],[f151]) ).

fof(f151,axiom,
    ! [X0] :
      ( cC66(X0)
    <=> ? [X2] :
          ( cC2xcomp(X2)
          & rR1(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_150) ).

fof(f2580,plain,
    spl125_50,
    inference(avatar_split_clause,[],[f2579,f1897]) ).

fof(f1897,plain,
    ( spl125_50
  <=> cC44(iV21029) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_50])]) ).

fof(f2579,plain,
    cC44(iV21029),
    inference(resolution,[],[f2454,f1233]) ).

fof(f1233,plain,
    rR1(iV21029,iV21034),
    inference(cnf_transformation,[],[f282]) ).

fof(f282,axiom,
    rR1(iV21029,iV21034),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_281) ).

fof(f2454,plain,
    ! [X0] :
      ( ~ rR1(X0,iV21034)
      | cC44(X0) ),
    inference(resolution,[],[f1628,f1190]) ).

fof(f1190,plain,
    cC2xcomp(iV21034),
    inference(cnf_transformation,[],[f326]) ).

fof(f326,axiom,
    cC2xcomp(iV21034),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_325) ).

fof(f1628,plain,
    ! [X0,X1] :
      ( ~ cC2xcomp(X1)
      | cC44(X0)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f1006]) ).

fof(f1006,plain,
    ! [X0] :
      ( ( cC44(X0)
        | ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ( cC2xcomp(sK93(X0))
          & rR1(X0,sK93(X0)) )
        | ~ cC44(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK93])],[f1004,f1005]) ).

fof(f1005,plain,
    ! [X0] :
      ( ? [X2] :
          ( cC2xcomp(X2)
          & rR1(X0,X2) )
     => ( cC2xcomp(sK93(X0))
        & rR1(X0,sK93(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1004,plain,
    ! [X0] :
      ( ( cC44(X0)
        | ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X2] :
            ( cC2xcomp(X2)
            & rR1(X0,X2) )
        | ~ cC44(X0) ) ),
    inference(rectify,[],[f1003]) ).

fof(f1003,plain,
    ! [X0] :
      ( ( cC44(X0)
        | ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X1] :
            ( cC2xcomp(X1)
            & rR1(X0,X1) )
        | ~ cC44(X0) ) ),
    inference(nnf_transformation,[],[f403]) ).

fof(f403,plain,
    ! [X0] :
      ( cC44(X0)
    <=> ? [X1] :
          ( cC2xcomp(X1)
          & rR1(X0,X1) ) ),
    inference(rectify,[],[f126]) ).

fof(f126,axiom,
    ! [X0] :
      ( cC44(X0)
    <=> ? [X2] :
          ( cC2xcomp(X2)
          & rR1(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_125) ).

fof(f2555,plain,
    spl125_49,
    inference(avatar_split_clause,[],[f2554,f1893]) ).

fof(f1893,plain,
    ( spl125_49
  <=> cC50(iV21029) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_49])]) ).

fof(f2554,plain,
    cC50(iV21029),
    inference(resolution,[],[f2433,f1237]) ).

fof(f1237,plain,
    rR1(iV21029,iV21033),
    inference(cnf_transformation,[],[f283]) ).

fof(f283,axiom,
    rR1(iV21029,iV21033),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_282) ).

fof(f2433,plain,
    ! [X0] :
      ( ~ rR1(X0,iV21033)
      | cC50(X0) ),
    inference(resolution,[],[f1622,f1138]) ).

fof(f1138,plain,
    cC12xcomp(iV21033),
    inference(cnf_transformation,[],[f320]) ).

fof(f320,axiom,
    cC12xcomp(iV21033),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_319) ).

fof(f1622,plain,
    ! [X0,X1] :
      ( ~ cC12xcomp(X1)
      | cC50(X0)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f998]) ).

fof(f998,plain,
    ! [X0] :
      ( ( cC50(X0)
        | ! [X1] :
            ( ~ cC12xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ( cC12xcomp(sK91(X0))
          & rR1(X0,sK91(X0)) )
        | ~ cC50(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK91])],[f996,f997]) ).

fof(f997,plain,
    ! [X0] :
      ( ? [X2] :
          ( cC12xcomp(X2)
          & rR1(X0,X2) )
     => ( cC12xcomp(sK91(X0))
        & rR1(X0,sK91(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f996,plain,
    ! [X0] :
      ( ( cC50(X0)
        | ! [X1] :
            ( ~ cC12xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X2] :
            ( cC12xcomp(X2)
            & rR1(X0,X2) )
        | ~ cC50(X0) ) ),
    inference(rectify,[],[f995]) ).

fof(f995,plain,
    ! [X0] :
      ( ( cC50(X0)
        | ! [X1] :
            ( ~ cC12xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X1] :
            ( cC12xcomp(X1)
            & rR1(X0,X1) )
        | ~ cC50(X0) ) ),
    inference(nnf_transformation,[],[f401]) ).

fof(f401,plain,
    ! [X0] :
      ( cC50(X0)
    <=> ? [X1] :
          ( cC12xcomp(X1)
          & rR1(X0,X1) ) ),
    inference(rectify,[],[f134]) ).

fof(f134,axiom,
    ! [X0] :
      ( cC50(X0)
    <=> ? [X2] :
          ( cC12xcomp(X2)
          & rR1(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_133) ).

fof(f2512,plain,
    spl125_46,
    inference(avatar_split_clause,[],[f2511,f1881]) ).

fof(f1881,plain,
    ( spl125_46
  <=> cC30(iV21027) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_46])]) ).

fof(f2511,plain,
    cC30(iV21027),
    inference(resolution,[],[f2417,f1236]) ).

fof(f1236,plain,
    rR1(iV21027,iV21035),
    inference(cnf_transformation,[],[f254]) ).

fof(f254,axiom,
    rR1(iV21027,iV21035),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_253) ).

fof(f2417,plain,
    ! [X0] :
      ( ~ rR1(X0,iV21035)
      | cC30(X0) ),
    inference(resolution,[],[f1616,f1139]) ).

fof(f1139,plain,
    cC12xcomp(iV21035),
    inference(cnf_transformation,[],[f332]) ).

fof(f332,axiom,
    cC12xcomp(iV21035),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_331) ).

fof(f1616,plain,
    ! [X0,X1] :
      ( ~ cC12xcomp(X1)
      | cC30(X0)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f990]) ).

fof(f990,plain,
    ! [X0] :
      ( ( cC30(X0)
        | ! [X1] :
            ( ~ cC12xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ( cC12xcomp(sK89(X0))
          & rR1(X0,sK89(X0)) )
        | ~ cC30(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK89])],[f988,f989]) ).

fof(f989,plain,
    ! [X0] :
      ( ? [X2] :
          ( cC12xcomp(X2)
          & rR1(X0,X2) )
     => ( cC12xcomp(sK89(X0))
        & rR1(X0,sK89(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f988,plain,
    ! [X0] :
      ( ( cC30(X0)
        | ! [X1] :
            ( ~ cC12xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X2] :
            ( cC12xcomp(X2)
            & rR1(X0,X2) )
        | ~ cC30(X0) ) ),
    inference(rectify,[],[f987]) ).

fof(f987,plain,
    ! [X0] :
      ( ( cC30(X0)
        | ! [X1] :
            ( ~ cC12xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X1] :
            ( cC12xcomp(X1)
            & rR1(X0,X1) )
        | ~ cC30(X0) ) ),
    inference(nnf_transformation,[],[f399]) ).

fof(f399,plain,
    ! [X0] :
      ( cC30(X0)
    <=> ? [X1] :
          ( cC12xcomp(X1)
          & rR1(X0,X1) ) ),
    inference(rectify,[],[f112]) ).

fof(f112,axiom,
    ! [X0] :
      ( cC30(X0)
    <=> ? [X2] :
          ( cC12xcomp(X2)
          & rR1(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_111) ).

fof(f2077,plain,
    ( spl125_9
    | ~ spl125_31 ),
    inference(avatar_contradiction_clause,[],[f2076]) ).

fof(f2076,plain,
    ( $false
    | spl125_9
    | ~ spl125_31 ),
    inference(subsumption_resolution,[],[f2075,f1822]) ).

fof(f1822,plain,
    ( cC112(iV21026)
    | ~ spl125_31 ),
    inference(avatar_component_clause,[],[f1821]) ).

fof(f1821,plain,
    ( spl125_31
  <=> cC112(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_31])]) ).

fof(f2075,plain,
    ( ~ cC112(iV21026)
    | spl125_9 ),
    inference(resolution,[],[f1735,f1510]) ).

fof(f1510,plain,
    ! [X0] :
      ( cC90(X0)
      | ~ cC112(X0) ),
    inference(cnf_transformation,[],[f898]) ).

fof(f898,plain,
    ! [X0] :
      ( ( cC112(X0)
        | ~ cC90(X0)
        | ~ cC110(X0) )
      & ( ( cC90(X0)
          & cC110(X0) )
        | ~ cC112(X0) ) ),
    inference(flattening,[],[f897]) ).

fof(f897,plain,
    ! [X0] :
      ( ( cC112(X0)
        | ~ cC90(X0)
        | ~ cC110(X0) )
      & ( ( cC90(X0)
          & cC110(X0) )
        | ~ cC112(X0) ) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0] :
      ( cC112(X0)
    <=> ( cC90(X0)
        & cC110(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).

fof(f1735,plain,
    ( ~ cC90(iV21026)
    | spl125_9 ),
    inference(avatar_component_clause,[],[f1733]) ).

fof(f1733,plain,
    ( spl125_9
  <=> cC90(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_9])]) ).

fof(f2074,plain,
    ( ~ spl125_9
    | spl125_45 ),
    inference(avatar_split_clause,[],[f2073,f1877,f1733]) ).

fof(f1877,plain,
    ( spl125_45
  <=> cC86(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_45])]) ).

fof(f2073,plain,
    ( ~ cC90(iV21026)
    | spl125_45 ),
    inference(resolution,[],[f1879,f1518]) ).

fof(f1518,plain,
    ! [X0] :
      ( cC86(X0)
      | ~ cC90(X0) ),
    inference(cnf_transformation,[],[f904]) ).

fof(f904,plain,
    ! [X0] :
      ( ( cC90(X0)
        | ~ cC88(X0)
        | ~ cC86(X0) )
      & ( ( cC88(X0)
          & cC86(X0) )
        | ~ cC90(X0) ) ),
    inference(flattening,[],[f903]) ).

fof(f903,plain,
    ! [X0] :
      ( ( cC90(X0)
        | ~ cC88(X0)
        | ~ cC86(X0) )
      & ( ( cC88(X0)
          & cC86(X0) )
        | ~ cC90(X0) ) ),
    inference(nnf_transformation,[],[f175]) ).

fof(f175,axiom,
    ! [X0] :
      ( cC90(X0)
    <=> ( cC88(X0)
        & cC86(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_174) ).

fof(f1879,plain,
    ( ~ cC86(iV21026)
    | spl125_45 ),
    inference(avatar_component_clause,[],[f1877]) ).

fof(f2072,plain,
    ( ~ spl125_8
    | spl125_41 ),
    inference(avatar_contradiction_clause,[],[f2071]) ).

fof(f2071,plain,
    ( $false
    | ~ spl125_8
    | spl125_41 ),
    inference(subsumption_resolution,[],[f2070,f1730]) ).

fof(f1730,plain,
    ( cC10(iV21026)
    | ~ spl125_8 ),
    inference(avatar_component_clause,[],[f1729]) ).

fof(f1729,plain,
    ( spl125_8
  <=> cC10(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_8])]) ).

fof(f2070,plain,
    ( ~ cC10(iV21026)
    | spl125_41 ),
    inference(resolution,[],[f1863,f1507]) ).

fof(f1507,plain,
    ! [X0] :
      ( cC4(X0)
      | ~ cC10(X0) ),
    inference(cnf_transformation,[],[f896]) ).

fof(f896,plain,
    ! [X0] :
      ( ( cC10(X0)
        | ~ cC4(X0)
        | ~ cC8(X0) )
      & ( ( cC4(X0)
          & cC8(X0) )
        | ~ cC10(X0) ) ),
    inference(flattening,[],[f895]) ).

fof(f895,plain,
    ! [X0] :
      ( ( cC10(X0)
        | ~ cC4(X0)
        | ~ cC8(X0) )
      & ( ( cC4(X0)
          & cC8(X0) )
        | ~ cC10(X0) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( cC10(X0)
    <=> ( cC4(X0)
        & cC8(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f1863,plain,
    ( ~ cC4(iV21026)
    | spl125_41 ),
    inference(avatar_component_clause,[],[f1861]) ).

fof(f1861,plain,
    ( spl125_41
  <=> cC4(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_41])]) ).

fof(f2068,plain,
    spl125_38,
    inference(avatar_contradiction_clause,[],[f2067]) ).

fof(f2067,plain,
    ( $false
    | spl125_38 ),
    inference(subsumption_resolution,[],[f2065,f1133]) ).

fof(f1133,plain,
    cTOP(iV21026),
    inference(cnf_transformation,[],[f191]) ).

fof(f191,axiom,
    cTOP(iV21026),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_190) ).

fof(f2065,plain,
    ( ~ cTOP(iV21026)
    | spl125_38 ),
    inference(resolution,[],[f1851,f1505]) ).

fof(f1505,plain,
    ! [X0] :
      ( cC88(X0)
      | ~ cTOP(X0) ),
    inference(cnf_transformation,[],[f894]) ).

fof(f894,plain,
    ! [X0] :
      ( ( cC88(X0)
        | ~ cTOP(X0) )
      & ( cTOP(X0)
        | ~ cC88(X0) ) ),
    inference(nnf_transformation,[],[f174]) ).

fof(f174,axiom,
    ! [X0] :
      ( cC88(X0)
    <=> cTOP(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_173) ).

fof(f1851,plain,
    ( ~ cC88(iV21026)
    | spl125_38 ),
    inference(avatar_component_clause,[],[f1849]) ).

fof(f1849,plain,
    ( spl125_38
  <=> cC88(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_38])]) ).

fof(f2061,plain,
    ( ~ spl125_8
    | spl125_29 ),
    inference(avatar_contradiction_clause,[],[f2060]) ).

fof(f2060,plain,
    ( $false
    | ~ spl125_8
    | spl125_29 ),
    inference(subsumption_resolution,[],[f2059,f1730]) ).

fof(f2059,plain,
    ( ~ cC10(iV21026)
    | spl125_29 ),
    inference(resolution,[],[f1815,f1506]) ).

fof(f1506,plain,
    ! [X0] :
      ( cC8(X0)
      | ~ cC10(X0) ),
    inference(cnf_transformation,[],[f896]) ).

fof(f1815,plain,
    ( ~ cC8(iV21026)
    | spl125_29 ),
    inference(avatar_component_clause,[],[f1813]) ).

fof(f1813,plain,
    ( spl125_29
  <=> cC8(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_29])]) ).

fof(f2058,plain,
    ( spl125_30
    | ~ spl125_25 ),
    inference(avatar_split_clause,[],[f2057,f1797,f1817]) ).

fof(f1817,plain,
    ( spl125_30
  <=> cC36(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_30])]) ).

fof(f1797,plain,
    ( spl125_25
  <=> cC38(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_25])]) ).

fof(f2057,plain,
    ( cC36(iV21026)
    | ~ spl125_25 ),
    inference(resolution,[],[f1798,f1566]) ).

fof(f1566,plain,
    ! [X0] :
      ( ~ cC38(X0)
      | cC36(X0) ),
    inference(cnf_transformation,[],[f936]) ).

fof(f936,plain,
    ! [X0] :
      ( ( cC38(X0)
        | ~ cTOP(X0)
        | ~ cC36(X0) )
      & ( ( cTOP(X0)
          & cC36(X0) )
        | ~ cC38(X0) ) ),
    inference(flattening,[],[f935]) ).

fof(f935,plain,
    ! [X0] :
      ( ( cC38(X0)
        | ~ cTOP(X0)
        | ~ cC36(X0) )
      & ( ( cTOP(X0)
          & cC36(X0) )
        | ~ cC38(X0) ) ),
    inference(nnf_transformation,[],[f121]) ).

fof(f121,axiom,
    ! [X0] :
      ( cC38(X0)
    <=> ( cTOP(X0)
        & cC36(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_120) ).

fof(f1798,plain,
    ( cC38(iV21026)
    | ~ spl125_25 ),
    inference(avatar_component_clause,[],[f1797]) ).

fof(f2055,plain,
    ( spl125_25
    | ~ spl125_43 ),
    inference(avatar_split_clause,[],[f2051,f1869,f1797]) ).

fof(f1869,plain,
    ( spl125_43
  <=> cC42(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_43])]) ).

fof(f2051,plain,
    ( cC38(iV21026)
    | ~ spl125_43 ),
    inference(resolution,[],[f1870,f1540]) ).

fof(f1540,plain,
    ! [X0] :
      ( ~ cC42(X0)
      | cC38(X0) ),
    inference(cnf_transformation,[],[f918]) ).

fof(f918,plain,
    ! [X0] :
      ( ( cC42(X0)
        | ~ cC38(X0)
        | ~ cC40(X0) )
      & ( ( cC38(X0)
          & cC40(X0) )
        | ~ cC42(X0) ) ),
    inference(flattening,[],[f917]) ).

fof(f917,plain,
    ! [X0] :
      ( ( cC42(X0)
        | ~ cC38(X0)
        | ~ cC40(X0) )
      & ( ( cC38(X0)
          & cC40(X0) )
        | ~ cC42(X0) ) ),
    inference(nnf_transformation,[],[f124]) ).

fof(f124,axiom,
    ! [X0] :
      ( cC42(X0)
    <=> ( cC38(X0)
        & cC40(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_123) ).

fof(f1870,plain,
    ( cC42(iV21026)
    | ~ spl125_43 ),
    inference(avatar_component_clause,[],[f1869]) ).

fof(f2049,plain,
    spl125_24,
    inference(avatar_contradiction_clause,[],[f2048]) ).

fof(f2048,plain,
    ( $false
    | spl125_24 ),
    inference(subsumption_resolution,[],[f2046,f1133]) ).

fof(f2046,plain,
    ( ~ cTOP(iV21026)
    | spl125_24 ),
    inference(resolution,[],[f1795,f1503]) ).

fof(f1503,plain,
    ! [X0] :
      ( cC84(X0)
      | ~ cTOP(X0) ),
    inference(cnf_transformation,[],[f893]) ).

fof(f893,plain,
    ! [X0] :
      ( ( cC84(X0)
        | ~ cTOP(X0) )
      & ( cTOP(X0)
        | ~ cC84(X0) ) ),
    inference(nnf_transformation,[],[f172]) ).

fof(f172,axiom,
    ! [X0] :
      ( cC84(X0)
    <=> cTOP(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_171) ).

fof(f1795,plain,
    ( ~ cC84(iV21026)
    | spl125_24 ),
    inference(avatar_component_clause,[],[f1793]) ).

fof(f1793,plain,
    ( spl125_24
  <=> cC84(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_24])]) ).

fof(f2044,plain,
    ( ~ spl125_15
    | spl125_23 ),
    inference(avatar_contradiction_clause,[],[f2043]) ).

fof(f2043,plain,
    ( $false
    | ~ spl125_15
    | spl125_23 ),
    inference(subsumption_resolution,[],[f2042,f1758]) ).

fof(f1758,plain,
    ( cC22(iV21026)
    | ~ spl125_15 ),
    inference(avatar_component_clause,[],[f1757]) ).

fof(f1757,plain,
    ( spl125_15
  <=> cC22(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_15])]) ).

fof(f2042,plain,
    ( ~ cC22(iV21026)
    | spl125_23 ),
    inference(resolution,[],[f1791,f1548]) ).

fof(f1548,plain,
    ! [X0] :
      ( cC20(X0)
      | ~ cC22(X0) ),
    inference(cnf_transformation,[],[f924]) ).

fof(f924,plain,
    ! [X0] :
      ( ( cC22(X0)
        | ~ cC16(X0)
        | ~ cC20(X0) )
      & ( ( cC16(X0)
          & cC20(X0) )
        | ~ cC22(X0) ) ),
    inference(flattening,[],[f923]) ).

fof(f923,plain,
    ! [X0] :
      ( ( cC22(X0)
        | ~ cC16(X0)
        | ~ cC20(X0) )
      & ( ( cC16(X0)
          & cC20(X0) )
        | ~ cC22(X0) ) ),
    inference(nnf_transformation,[],[f101]) ).

fof(f101,axiom,
    ! [X0] :
      ( cC22(X0)
    <=> ( cC16(X0)
        & cC20(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_100) ).

fof(f1791,plain,
    ( ~ cC20(iV21026)
    | spl125_23 ),
    inference(avatar_component_clause,[],[f1789]) ).

fof(f1789,plain,
    ( spl125_23
  <=> cC20(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_23])]) ).

fof(f2039,plain,
    ( spl125_19
    | ~ spl125_37 ),
    inference(avatar_split_clause,[],[f2036,f1845,f1773]) ).

fof(f1773,plain,
    ( spl125_19
  <=> cC78(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_19])]) ).

fof(f1845,plain,
    ( spl125_37
  <=> cC80(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_37])]) ).

fof(f2036,plain,
    ( cC78(iV21026)
    | ~ spl125_37 ),
    inference(resolution,[],[f1846,f1560]) ).

fof(f1560,plain,
    ! [X0] :
      ( ~ cC80(X0)
      | cC78(X0) ),
    inference(cnf_transformation,[],[f932]) ).

fof(f932,plain,
    ! [X0] :
      ( ( cC80(X0)
        | ~ cTOP(X0)
        | ~ cC78(X0) )
      & ( ( cTOP(X0)
          & cC78(X0) )
        | ~ cC80(X0) ) ),
    inference(flattening,[],[f931]) ).

fof(f931,plain,
    ! [X0] :
      ( ( cC80(X0)
        | ~ cTOP(X0)
        | ~ cC78(X0) )
      & ( ( cTOP(X0)
          & cC78(X0) )
        | ~ cC80(X0) ) ),
    inference(nnf_transformation,[],[f170]) ).

fof(f170,axiom,
    ! [X0] :
      ( cC80(X0)
    <=> ( cTOP(X0)
        & cC78(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_169) ).

fof(f1846,plain,
    ( cC80(iV21026)
    | ~ spl125_37 ),
    inference(avatar_component_clause,[],[f1845]) ).

fof(f2032,plain,
    ( ~ spl125_13
    | spl125_15 ),
    inference(avatar_contradiction_clause,[],[f2031]) ).

fof(f2031,plain,
    ( $false
    | ~ spl125_13
    | spl125_15 ),
    inference(subsumption_resolution,[],[f2030,f1750]) ).

fof(f1750,plain,
    ( cC158(iV21026)
    | ~ spl125_13 ),
    inference(avatar_component_clause,[],[f1749]) ).

fof(f1749,plain,
    ( spl125_13
  <=> cC158(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_13])]) ).

fof(f2030,plain,
    ( ~ cC158(iV21026)
    | spl125_15 ),
    inference(resolution,[],[f1759,f1533]) ).

fof(f1533,plain,
    ! [X0] :
      ( cC22(X0)
      | ~ cC158(X0) ),
    inference(cnf_transformation,[],[f914]) ).

fof(f914,plain,
    ! [X0] :
      ( ( cC158(X0)
        | ~ cC156(X0)
        | ~ cC22(X0) )
      & ( ( cC156(X0)
          & cC22(X0) )
        | ~ cC158(X0) ) ),
    inference(flattening,[],[f913]) ).

fof(f913,plain,
    ! [X0] :
      ( ( cC158(X0)
        | ~ cC156(X0)
        | ~ cC22(X0) )
      & ( ( cC156(X0)
          & cC22(X0) )
        | ~ cC158(X0) ) ),
    inference(nnf_transformation,[],[f67]) ).

fof(f67,axiom,
    ! [X0] :
      ( cC158(X0)
    <=> ( cC156(X0)
        & cC22(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_66) ).

fof(f1759,plain,
    ( ~ cC22(iV21026)
    | spl125_15 ),
    inference(avatar_component_clause,[],[f1757]) ).

fof(f2027,plain,
    ( spl125_12
    | ~ spl125_11 ),
    inference(avatar_split_clause,[],[f2026,f1741,f1745]) ).

fof(f1745,plain,
    ( spl125_12
  <=> cC56(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_12])]) ).

fof(f1741,plain,
    ( spl125_11
  <=> cC58(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_11])]) ).

fof(f2026,plain,
    ( cC56(iV21026)
    | ~ spl125_11 ),
    inference(resolution,[],[f1742,f1569]) ).

fof(f1569,plain,
    ! [X0] :
      ( ~ cC58(X0)
      | cC56(X0) ),
    inference(cnf_transformation,[],[f938]) ).

fof(f938,plain,
    ! [X0] :
      ( ( cC58(X0)
        | ~ cTOP(X0)
        | ~ cC56(X0) )
      & ( ( cTOP(X0)
          & cC56(X0) )
        | ~ cC58(X0) ) ),
    inference(flattening,[],[f937]) ).

fof(f937,plain,
    ! [X0] :
      ( ( cC58(X0)
        | ~ cTOP(X0)
        | ~ cC56(X0) )
      & ( ( cTOP(X0)
          & cC56(X0) )
        | ~ cC58(X0) ) ),
    inference(nnf_transformation,[],[f144]) ).

fof(f144,axiom,
    ! [X0] :
      ( cC58(X0)
    <=> ( cTOP(X0)
        & cC56(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_143) ).

fof(f1742,plain,
    ( cC58(iV21026)
    | ~ spl125_11 ),
    inference(avatar_component_clause,[],[f1741]) ).

fof(f2024,plain,
    ( spl125_11
    | ~ spl125_16 ),
    inference(avatar_split_clause,[],[f2020,f1761,f1741]) ).

fof(f1761,plain,
    ( spl125_16
  <=> cC60(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_16])]) ).

fof(f2020,plain,
    ( cC58(iV21026)
    | ~ spl125_16 ),
    inference(resolution,[],[f1762,f1542]) ).

fof(f1542,plain,
    ! [X0] :
      ( ~ cC60(X0)
      | cC58(X0) ),
    inference(cnf_transformation,[],[f920]) ).

fof(f920,plain,
    ! [X0] :
      ( ( cC60(X0)
        | ~ cC42(X0)
        | ~ cC58(X0) )
      & ( ( cC42(X0)
          & cC58(X0) )
        | ~ cC60(X0) ) ),
    inference(flattening,[],[f919]) ).

fof(f919,plain,
    ! [X0] :
      ( ( cC60(X0)
        | ~ cC42(X0)
        | ~ cC58(X0) )
      & ( ( cC42(X0)
          & cC58(X0) )
        | ~ cC60(X0) ) ),
    inference(nnf_transformation,[],[f147]) ).

fof(f147,axiom,
    ! [X0] :
      ( cC60(X0)
    <=> ( cC42(X0)
        & cC58(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_146) ).

fof(f1762,plain,
    ( cC60(iV21026)
    | ~ spl125_16 ),
    inference(avatar_component_clause,[],[f1761]) ).

fof(f2021,plain,
    ( spl125_43
    | ~ spl125_16 ),
    inference(avatar_split_clause,[],[f2019,f1761,f1869]) ).

fof(f2019,plain,
    ( cC42(iV21026)
    | ~ spl125_16 ),
    inference(resolution,[],[f1762,f1543]) ).

fof(f1543,plain,
    ! [X0] :
      ( ~ cC60(X0)
      | cC42(X0) ),
    inference(cnf_transformation,[],[f920]) ).

fof(f2018,plain,
    ( spl125_16
    | ~ spl125_32 ),
    inference(avatar_split_clause,[],[f2016,f1825,f1761]) ).

fof(f1825,plain,
    ( spl125_32
  <=> cC64(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_32])]) ).

fof(f2016,plain,
    ( cC60(iV21026)
    | ~ spl125_32 ),
    inference(resolution,[],[f1826,f1545]) ).

fof(f1545,plain,
    ! [X0] :
      ( ~ cC64(X0)
      | cC60(X0) ),
    inference(cnf_transformation,[],[f922]) ).

fof(f922,plain,
    ! [X0] :
      ( ( cC64(X0)
        | ~ cC62(X0)
        | ~ cC60(X0) )
      & ( ( cC62(X0)
          & cC60(X0) )
        | ~ cC64(X0) ) ),
    inference(flattening,[],[f921]) ).

fof(f921,plain,
    ! [X0] :
      ( ( cC64(X0)
        | ~ cC62(X0)
        | ~ cC60(X0) )
      & ( ( cC62(X0)
          & cC60(X0) )
        | ~ cC64(X0) ) ),
    inference(nnf_transformation,[],[f149]) ).

fof(f149,axiom,
    ! [X0] :
      ( cC64(X0)
    <=> ( cC62(X0)
        & cC60(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_148) ).

fof(f1826,plain,
    ( cC64(iV21026)
    | ~ spl125_32 ),
    inference(avatar_component_clause,[],[f1825]) ).

fof(f2017,plain,
    ( spl125_28
    | ~ spl125_32 ),
    inference(avatar_split_clause,[],[f2015,f1825,f1809]) ).

fof(f1809,plain,
    ( spl125_28
  <=> cC62(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_28])]) ).

fof(f2015,plain,
    ( cC62(iV21026)
    | ~ spl125_32 ),
    inference(resolution,[],[f1826,f1546]) ).

fof(f1546,plain,
    ! [X0] :
      ( ~ cC64(X0)
      | cC62(X0) ),
    inference(cnf_transformation,[],[f922]) ).

fof(f2014,plain,
    ( spl125_32
    | ~ spl125_34 ),
    inference(avatar_split_clause,[],[f2012,f1833,f1825]) ).

fof(f1833,plain,
    ( spl125_34
  <=> cC82(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_34])]) ).

fof(f2012,plain,
    ( cC64(iV21026)
    | ~ spl125_34 ),
    inference(resolution,[],[f1834,f1524]) ).

fof(f1524,plain,
    ! [X0] :
      ( ~ cC82(X0)
      | cC64(X0) ),
    inference(cnf_transformation,[],[f908]) ).

fof(f908,plain,
    ! [X0] :
      ( ( cC82(X0)
        | ~ cC80(X0)
        | ~ cC64(X0) )
      & ( ( cC80(X0)
          & cC64(X0) )
        | ~ cC82(X0) ) ),
    inference(flattening,[],[f907]) ).

fof(f907,plain,
    ! [X0] :
      ( ( cC82(X0)
        | ~ cC80(X0)
        | ~ cC64(X0) )
      & ( ( cC80(X0)
          & cC64(X0) )
        | ~ cC82(X0) ) ),
    inference(nnf_transformation,[],[f171]) ).

fof(f171,axiom,
    ! [X0] :
      ( cC82(X0)
    <=> ( cC80(X0)
        & cC64(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_170) ).

fof(f1834,plain,
    ( cC82(iV21026)
    | ~ spl125_34 ),
    inference(avatar_component_clause,[],[f1833]) ).

fof(f2013,plain,
    ( spl125_37
    | ~ spl125_34 ),
    inference(avatar_split_clause,[],[f2011,f1833,f1845]) ).

fof(f2011,plain,
    ( cC80(iV21026)
    | ~ spl125_34 ),
    inference(resolution,[],[f1834,f1525]) ).

fof(f1525,plain,
    ! [X0] :
      ( ~ cC82(X0)
      | cC80(X0) ),
    inference(cnf_transformation,[],[f908]) ).

fof(f2010,plain,
    ( spl125_34
    | ~ spl125_31 ),
    inference(avatar_split_clause,[],[f2009,f1821,f1833]) ).

fof(f2009,plain,
    ( cC82(iV21026)
    | ~ spl125_31 ),
    inference(resolution,[],[f1990,f1822]) ).

fof(f1990,plain,
    ! [X0] :
      ( ~ cC112(X0)
      | cC82(X0) ),
    inference(resolution,[],[f1940,f1510]) ).

fof(f1940,plain,
    ! [X0] :
      ( ~ cC90(X0)
      | cC82(X0) ),
    inference(resolution,[],[f1521,f1518]) ).

fof(f1521,plain,
    ! [X0] :
      ( ~ cC86(X0)
      | cC82(X0) ),
    inference(cnf_transformation,[],[f906]) ).

fof(f906,plain,
    ! [X0] :
      ( ( cC86(X0)
        | ~ cC84(X0)
        | ~ cC82(X0) )
      & ( ( cC84(X0)
          & cC82(X0) )
        | ~ cC86(X0) ) ),
    inference(flattening,[],[f905]) ).

fof(f905,plain,
    ! [X0] :
      ( ( cC86(X0)
        | ~ cC84(X0)
        | ~ cC82(X0) )
      & ( ( cC84(X0)
          & cC82(X0) )
        | ~ cC86(X0) ) ),
    inference(nnf_transformation,[],[f173]) ).

fof(f173,axiom,
    ! [X0] :
      ( cC86(X0)
    <=> ( cC84(X0)
        & cC82(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_172) ).

fof(f2005,plain,
    ( spl125_8
    | ~ spl125_20 ),
    inference(avatar_split_clause,[],[f2001,f1777,f1729]) ).

fof(f1777,plain,
    ( spl125_20
  <=> cC16(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_20])]) ).

fof(f2001,plain,
    ( cC10(iV21026)
    | ~ spl125_20 ),
    inference(resolution,[],[f1778,f1536]) ).

fof(f1536,plain,
    ! [X0] :
      ( ~ cC16(X0)
      | cC10(X0) ),
    inference(cnf_transformation,[],[f916]) ).

fof(f916,plain,
    ! [X0] :
      ( ( cC16(X0)
        | ~ cC14(X0)
        | ~ cC10(X0) )
      & ( ( cC14(X0)
          & cC10(X0) )
        | ~ cC16(X0) ) ),
    inference(flattening,[],[f915]) ).

fof(f915,plain,
    ! [X0] :
      ( ( cC16(X0)
        | ~ cC14(X0)
        | ~ cC10(X0) )
      & ( ( cC14(X0)
          & cC10(X0) )
        | ~ cC16(X0) ) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f68,axiom,
    ! [X0] :
      ( cC16(X0)
    <=> ( cC14(X0)
        & cC10(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_67) ).

fof(f1778,plain,
    ( cC16(iV21026)
    | ~ spl125_20 ),
    inference(avatar_component_clause,[],[f1777]) ).

fof(f2002,plain,
    ( spl125_35
    | ~ spl125_20 ),
    inference(avatar_split_clause,[],[f2000,f1777,f1837]) ).

fof(f1837,plain,
    ( spl125_35
  <=> cC14(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_35])]) ).

fof(f2000,plain,
    ( cC14(iV21026)
    | ~ spl125_20 ),
    inference(resolution,[],[f1778,f1537]) ).

fof(f1537,plain,
    ! [X0] :
      ( ~ cC16(X0)
      | cC14(X0) ),
    inference(cnf_transformation,[],[f916]) ).

fof(f1999,plain,
    ( spl125_20
    | ~ spl125_13 ),
    inference(avatar_split_clause,[],[f1998,f1749,f1777]) ).

fof(f1998,plain,
    ( cC16(iV21026)
    | ~ spl125_13 ),
    inference(resolution,[],[f1942,f1750]) ).

fof(f1942,plain,
    ! [X0] :
      ( ~ cC158(X0)
      | cC16(X0) ),
    inference(resolution,[],[f1549,f1533]) ).

fof(f1549,plain,
    ! [X0] :
      ( ~ cC22(X0)
      | cC16(X0) ),
    inference(cnf_transformation,[],[f924]) ).

fof(f1986,plain,
    ( spl125_40
    | ~ spl125_27 ),
    inference(avatar_split_clause,[],[f1984,f1805,f1857]) ).

fof(f1857,plain,
    ( spl125_40
  <=> cC168(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_40])]) ).

fof(f1805,plain,
    ( spl125_27
  <=> cC174(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_27])]) ).

fof(f1984,plain,
    ( cC168(iV21026)
    | ~ spl125_27 ),
    inference(resolution,[],[f1806,f1573]) ).

fof(f1573,plain,
    ! [X0] :
      ( ~ cC174(X0)
      | cC168(X0) ),
    inference(cnf_transformation,[],[f940]) ).

fof(f940,plain,
    ! [X0] :
      ( ( cC174(X0)
        | ~ cC168(X0)
        | ~ cC172xcomp(X0) )
      & ( ( cC168(X0)
          & cC172xcomp(X0) )
        | ~ cC174(X0) ) ),
    inference(flattening,[],[f939]) ).

fof(f939,plain,
    ! [X0] :
      ( ( cC174(X0)
        | ~ cC168(X0)
        | ~ cC172xcomp(X0) )
      & ( ( cC168(X0)
          & cC172xcomp(X0) )
        | ~ cC174(X0) ) ),
    inference(nnf_transformation,[],[f88]) ).

fof(f88,axiom,
    ! [X0] :
      ( cC174(X0)
    <=> ( cC168(X0)
        & cC172xcomp(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_87) ).

fof(f1806,plain,
    ( cC174(iV21026)
    | ~ spl125_27 ),
    inference(avatar_component_clause,[],[f1805]) ).

fof(f1983,plain,
    ( spl125_27
    | ~ spl125_18 ),
    inference(avatar_split_clause,[],[f1982,f1769,f1805]) ).

fof(f1769,plain,
    ( spl125_18
  <=> cC180(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_18])]) ).

fof(f1982,plain,
    ( cC174(iV21026)
    | ~ spl125_18 ),
    inference(resolution,[],[f1770,f1551]) ).

fof(f1551,plain,
    ! [X0] :
      ( ~ cC180(X0)
      | cC174(X0) ),
    inference(cnf_transformation,[],[f926]) ).

fof(f926,plain,
    ! [X0] :
      ( ( cC180(X0)
        | ~ cC178xcomp(X0)
        | ~ cC174(X0) )
      & ( ( cC178xcomp(X0)
          & cC174(X0) )
        | ~ cC180(X0) ) ),
    inference(flattening,[],[f925]) ).

fof(f925,plain,
    ! [X0] :
      ( ( cC180(X0)
        | ~ cC178xcomp(X0)
        | ~ cC174(X0) )
      & ( ( cC178xcomp(X0)
          & cC174(X0) )
        | ~ cC180(X0) ) ),
    inference(nnf_transformation,[],[f97]) ).

fof(f97,axiom,
    ! [X0] :
      ( cC180(X0)
    <=> ( cC178xcomp(X0)
        & cC174(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_96) ).

fof(f1770,plain,
    ( cC180(iV21026)
    | ~ spl125_18 ),
    inference(avatar_component_clause,[],[f1769]) ).

fof(f1980,plain,
    spl125_18,
    inference(avatar_split_clause,[],[f1979,f1769]) ).

fof(f1979,plain,
    cC180(iV21026),
    inference(resolution,[],[f1639,f1115]) ).

fof(f1115,plain,
    cTEST(iV21026),
    inference(cnf_transformation,[],[f222]) ).

fof(f222,axiom,
    cTEST(iV21026),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_221) ).

fof(f1639,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC180(X0) ),
    inference(cnf_transformation,[],[f509]) ).

fof(f509,plain,
    ! [X0] :
      ( ( cC180(X0)
        & cC158(X0) )
      | ~ cTEST(X0) ),
    inference(ennf_transformation,[],[f432]) ).

fof(f432,plain,
    ! [X0] :
      ( cTEST(X0)
     => ( cC180(X0)
        & cC158(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f187]) ).

fof(f187,axiom,
    ! [X0] :
      ( cTEST(X0)
    <=> ( cC180(X0)
        & cC158(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_186) ).

fof(f1975,plain,
    ( spl125_5
    | ~ spl125_14 ),
    inference(avatar_split_clause,[],[f1974,f1753,f1717]) ).

fof(f1717,plain,
    ( spl125_5
  <=> cC108(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_5])]) ).

fof(f1753,plain,
    ( spl125_14
  <=> cC110(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_14])]) ).

fof(f1974,plain,
    ( cC108(iV21026)
    | ~ spl125_14 ),
    inference(resolution,[],[f1754,f1554]) ).

fof(f1554,plain,
    ! [X0] :
      ( ~ cC110(X0)
      | cC108(X0) ),
    inference(cnf_transformation,[],[f928]) ).

fof(f928,plain,
    ! [X0] :
      ( ( cC110(X0)
        | ~ cTOP(X0)
        | ~ cC108(X0) )
      & ( ( cTOP(X0)
          & cC108(X0) )
        | ~ cC110(X0) ) ),
    inference(flattening,[],[f927]) ).

fof(f927,plain,
    ! [X0] :
      ( ( cC110(X0)
        | ~ cTOP(X0)
        | ~ cC108(X0) )
      & ( ( cTOP(X0)
          & cC108(X0) )
        | ~ cC110(X0) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( cC110(X0)
    <=> ( cTOP(X0)
        & cC108(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).

fof(f1754,plain,
    ( cC110(iV21026)
    | ~ spl125_14 ),
    inference(avatar_component_clause,[],[f1753]) ).

fof(f1972,plain,
    ( spl125_14
    | ~ spl125_31 ),
    inference(avatar_split_clause,[],[f1971,f1821,f1753]) ).

fof(f1971,plain,
    ( cC110(iV21026)
    | ~ spl125_31 ),
    inference(resolution,[],[f1822,f1509]) ).

fof(f1509,plain,
    ! [X0] :
      ( ~ cC112(X0)
      | cC110(X0) ),
    inference(cnf_transformation,[],[f898]) ).

fof(f1969,plain,
    ( spl125_22
    | ~ spl125_33 ),
    inference(avatar_split_clause,[],[f1967,f1829,f1785]) ).

fof(f1785,plain,
    ( spl125_22
  <=> cC114(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_22])]) ).

fof(f1829,plain,
    ( spl125_33
  <=> cC116(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_33])]) ).

fof(f1967,plain,
    ( cC114(iV21026)
    | ~ spl125_33 ),
    inference(resolution,[],[f1830,f1512]) ).

fof(f1512,plain,
    ! [X0] :
      ( ~ cC116(X0)
      | cC114(X0) ),
    inference(cnf_transformation,[],[f900]) ).

fof(f900,plain,
    ! [X0] :
      ( ( cC116(X0)
        | ~ cC112(X0)
        | ~ cC114(X0) )
      & ( ( cC112(X0)
          & cC114(X0) )
        | ~ cC116(X0) ) ),
    inference(flattening,[],[f899]) ).

fof(f899,plain,
    ! [X0] :
      ( ( cC116(X0)
        | ~ cC112(X0)
        | ~ cC114(X0) )
      & ( ( cC112(X0)
          & cC114(X0) )
        | ~ cC116(X0) ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0] :
      ( cC116(X0)
    <=> ( cC112(X0)
        & cC114(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).

fof(f1830,plain,
    ( cC116(iV21026)
    | ~ spl125_33 ),
    inference(avatar_component_clause,[],[f1829]) ).

fof(f1968,plain,
    ( spl125_31
    | ~ spl125_33 ),
    inference(avatar_split_clause,[],[f1966,f1829,f1821]) ).

fof(f1966,plain,
    ( cC112(iV21026)
    | ~ spl125_33 ),
    inference(resolution,[],[f1830,f1513]) ).

fof(f1513,plain,
    ! [X0] :
      ( ~ cC116(X0)
      | cC112(X0) ),
    inference(cnf_transformation,[],[f900]) ).

fof(f1965,plain,
    ( spl125_39
    | ~ spl125_21 ),
    inference(avatar_split_clause,[],[f1964,f1781,f1853]) ).

fof(f1853,plain,
    ( spl125_39
  <=> cC130(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_39])]) ).

fof(f1781,plain,
    ( spl125_21
  <=> cC132(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_21])]) ).

fof(f1964,plain,
    ( cC130(iV21026)
    | ~ spl125_21 ),
    inference(resolution,[],[f1782,f1557]) ).

fof(f1557,plain,
    ! [X0] :
      ( ~ cC132(X0)
      | cC130(X0) ),
    inference(cnf_transformation,[],[f930]) ).

fof(f930,plain,
    ! [X0] :
      ( ( cC132(X0)
        | ~ cTOP(X0)
        | ~ cC130(X0) )
      & ( ( cTOP(X0)
          & cC130(X0) )
        | ~ cC132(X0) ) ),
    inference(flattening,[],[f929]) ).

fof(f929,plain,
    ! [X0] :
      ( ( cC132(X0)
        | ~ cTOP(X0)
        | ~ cC130(X0) )
      & ( ( cTOP(X0)
          & cC130(X0) )
        | ~ cC132(X0) ) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f41,axiom,
    ! [X0] :
      ( cC132(X0)
    <=> ( cTOP(X0)
        & cC130(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).

fof(f1782,plain,
    ( cC132(iV21026)
    | ~ spl125_21 ),
    inference(avatar_component_clause,[],[f1781]) ).

fof(f1962,plain,
    ( spl125_33
    | ~ spl125_42 ),
    inference(avatar_split_clause,[],[f1960,f1865,f1829]) ).

fof(f1865,plain,
    ( spl125_42
  <=> cC134(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_42])]) ).

fof(f1960,plain,
    ( cC116(iV21026)
    | ~ spl125_42 ),
    inference(resolution,[],[f1866,f1515]) ).

fof(f1515,plain,
    ! [X0] :
      ( ~ cC134(X0)
      | cC116(X0) ),
    inference(cnf_transformation,[],[f902]) ).

fof(f902,plain,
    ! [X0] :
      ( ( cC134(X0)
        | ~ cC132(X0)
        | ~ cC116(X0) )
      & ( ( cC132(X0)
          & cC116(X0) )
        | ~ cC134(X0) ) ),
    inference(flattening,[],[f901]) ).

fof(f901,plain,
    ! [X0] :
      ( ( cC134(X0)
        | ~ cC132(X0)
        | ~ cC116(X0) )
      & ( ( cC132(X0)
          & cC116(X0) )
        | ~ cC134(X0) ) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0] :
      ( cC134(X0)
    <=> ( cC132(X0)
        & cC116(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).

fof(f1866,plain,
    ( cC134(iV21026)
    | ~ spl125_42 ),
    inference(avatar_component_clause,[],[f1865]) ).

fof(f1961,plain,
    ( spl125_21
    | ~ spl125_42 ),
    inference(avatar_split_clause,[],[f1959,f1865,f1781]) ).

fof(f1959,plain,
    ( cC132(iV21026)
    | ~ spl125_42 ),
    inference(resolution,[],[f1866,f1516]) ).

fof(f1516,plain,
    ! [X0] :
      ( ~ cC134(X0)
      | cC132(X0) ),
    inference(cnf_transformation,[],[f902]) ).

fof(f1956,plain,
    ( spl125_42
    | ~ spl125_26 ),
    inference(avatar_split_clause,[],[f1954,f1801,f1865]) ).

fof(f1801,plain,
    ( spl125_26
  <=> cC138(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_26])]) ).

fof(f1954,plain,
    ( cC134(iV21026)
    | ~ spl125_26 ),
    inference(resolution,[],[f1802,f1528]) ).

fof(f1528,plain,
    ! [X0] :
      ( ~ cC138(X0)
      | cC134(X0) ),
    inference(cnf_transformation,[],[f910]) ).

fof(f910,plain,
    ! [X0] :
      ( ( cC138(X0)
        | ~ cC134(X0)
        | ~ cC136(X0) )
      & ( ( cC134(X0)
          & cC136(X0) )
        | ~ cC138(X0) ) ),
    inference(flattening,[],[f909]) ).

fof(f909,plain,
    ! [X0] :
      ( ( cC138(X0)
        | ~ cC134(X0)
        | ~ cC136(X0) )
      & ( ( cC134(X0)
          & cC136(X0) )
        | ~ cC138(X0) ) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f44,axiom,
    ! [X0] :
      ( cC138(X0)
    <=> ( cC134(X0)
        & cC136(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).

fof(f1802,plain,
    ( cC138(iV21026)
    | ~ spl125_26 ),
    inference(avatar_component_clause,[],[f1801]) ).

fof(f1953,plain,
    ( spl125_36
    | ~ spl125_17 ),
    inference(avatar_split_clause,[],[f1952,f1765,f1841]) ).

fof(f1841,plain,
    ( spl125_36
  <=> cC152(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_36])]) ).

fof(f1765,plain,
    ( spl125_17
  <=> cC154(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_17])]) ).

fof(f1952,plain,
    ( cC152(iV21026)
    | ~ spl125_17 ),
    inference(resolution,[],[f1766,f1563]) ).

fof(f1563,plain,
    ! [X0] :
      ( ~ cC154(X0)
      | cC152(X0) ),
    inference(cnf_transformation,[],[f934]) ).

fof(f934,plain,
    ! [X0] :
      ( ( cC154(X0)
        | ~ cTOP(X0)
        | ~ cC152(X0) )
      & ( ( cTOP(X0)
          & cC152(X0) )
        | ~ cC154(X0) ) ),
    inference(flattening,[],[f933]) ).

fof(f933,plain,
    ! [X0] :
      ( ( cC154(X0)
        | ~ cTOP(X0)
        | ~ cC152(X0) )
      & ( ( cTOP(X0)
          & cC152(X0) )
        | ~ cC154(X0) ) ),
    inference(nnf_transformation,[],[f65]) ).

fof(f65,axiom,
    ! [X0] :
      ( cC154(X0)
    <=> ( cTOP(X0)
        & cC152(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).

fof(f1766,plain,
    ( cC154(iV21026)
    | ~ spl125_17 ),
    inference(avatar_component_clause,[],[f1765]) ).

fof(f1950,plain,
    ( spl125_17
    | ~ spl125_44 ),
    inference(avatar_split_clause,[],[f1948,f1873,f1765]) ).

fof(f1873,plain,
    ( spl125_44
  <=> cC156(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_44])]) ).

fof(f1948,plain,
    ( cC154(iV21026)
    | ~ spl125_44 ),
    inference(resolution,[],[f1874,f1530]) ).

fof(f1530,plain,
    ! [X0] :
      ( ~ cC156(X0)
      | cC154(X0) ),
    inference(cnf_transformation,[],[f912]) ).

fof(f912,plain,
    ! [X0] :
      ( ( cC156(X0)
        | ~ cC138(X0)
        | ~ cC154(X0) )
      & ( ( cC138(X0)
          & cC154(X0) )
        | ~ cC156(X0) ) ),
    inference(flattening,[],[f911]) ).

fof(f911,plain,
    ! [X0] :
      ( ( cC156(X0)
        | ~ cC138(X0)
        | ~ cC154(X0) )
      & ( ( cC138(X0)
          & cC154(X0) )
        | ~ cC156(X0) ) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f66,axiom,
    ! [X0] :
      ( cC156(X0)
    <=> ( cC138(X0)
        & cC154(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).

fof(f1874,plain,
    ( cC156(iV21026)
    | ~ spl125_44 ),
    inference(avatar_component_clause,[],[f1873]) ).

fof(f1949,plain,
    ( spl125_26
    | ~ spl125_44 ),
    inference(avatar_split_clause,[],[f1947,f1873,f1801]) ).

fof(f1947,plain,
    ( cC138(iV21026)
    | ~ spl125_44 ),
    inference(resolution,[],[f1874,f1531]) ).

fof(f1531,plain,
    ! [X0] :
      ( ~ cC156(X0)
      | cC138(X0) ),
    inference(cnf_transformation,[],[f912]) ).

fof(f1946,plain,
    ( spl125_44
    | ~ spl125_13 ),
    inference(avatar_split_clause,[],[f1945,f1749,f1873]) ).

fof(f1945,plain,
    ( cC156(iV21026)
    | ~ spl125_13 ),
    inference(resolution,[],[f1750,f1534]) ).

fof(f1534,plain,
    ! [X0] :
      ( ~ cC158(X0)
      | cC156(X0) ),
    inference(cnf_transformation,[],[f914]) ).

fof(f1944,plain,
    spl125_13,
    inference(avatar_split_clause,[],[f1943,f1749]) ).

fof(f1943,plain,
    cC158(iV21026),
    inference(resolution,[],[f1638,f1115]) ).

fof(f1638,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC158(X0) ),
    inference(cnf_transformation,[],[f509]) ).

fof(f1934,plain,
    spl125_7,
    inference(avatar_contradiction_clause,[],[f1933]) ).

fof(f1933,plain,
    ( $false
    | spl125_7 ),
    inference(subsumption_resolution,[],[f1932,f1133]) ).

fof(f1932,plain,
    ( ~ cTOP(iV21026)
    | spl125_7 ),
    inference(resolution,[],[f1727,f1495]) ).

fof(f1495,plain,
    ! [X0] :
      ( cC136(X0)
      | ~ cTOP(X0) ),
    inference(cnf_transformation,[],[f889]) ).

fof(f889,plain,
    ! [X0] :
      ( ( cC136(X0)
        | ~ cTOP(X0) )
      & ( cTOP(X0)
        | ~ cC136(X0) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X0] :
      ( cC136(X0)
    <=> cTOP(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).

fof(f1727,plain,
    ( ~ cC136(iV21026)
    | spl125_7 ),
    inference(avatar_component_clause,[],[f1725]) ).

fof(f1725,plain,
    ( spl125_7
  <=> cC136(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_7])]) ).

fof(f1930,plain,
    spl125_6,
    inference(avatar_split_clause,[],[f1927,f1721]) ).

fof(f1721,plain,
    ( spl125_6
  <=> cC40(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_6])]) ).

fof(f1927,plain,
    cC40(iV21026),
    inference(resolution,[],[f1499,f1133]) ).

fof(f1499,plain,
    ! [X0] :
      ( ~ cTOP(X0)
      | cC40(X0) ),
    inference(cnf_transformation,[],[f891]) ).

fof(f891,plain,
    ! [X0] :
      ( ( cC40(X0)
        | ~ cTOP(X0) )
      & ( cTOP(X0)
        | ~ cC40(X0) ) ),
    inference(nnf_transformation,[],[f123]) ).

fof(f123,axiom,
    ! [X0] :
      ( cC40(X0)
    <=> cTOP(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_122) ).

fof(f1923,plain,
    spl125_1,
    inference(avatar_contradiction_clause,[],[f1922]) ).

fof(f1922,plain,
    ( $false
    | spl125_1 ),
    inference(resolution,[],[f1242,f1703]) ).

fof(f1703,plain,
    ( ~ cowlThing(sK1)
    | spl125_1 ),
    inference(avatar_component_clause,[],[f1701]) ).

fof(f1701,plain,
    ( spl125_1
  <=> cowlThing(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_1])]) ).

fof(f1242,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1921,plain,
    spl125_10,
    inference(avatar_split_clause,[],[f1231,f1737]) ).

fof(f1737,plain,
    ( spl125_10
  <=> cowlThing(iV21026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_10])]) ).

fof(f1231,plain,
    cowlThing(iV21026),
    inference(cnf_transformation,[],[f220]) ).

fof(f220,axiom,
    cowlThing(iV21026),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_219) ).

fof(f1920,plain,
    spl125_47,
    inference(avatar_split_clause,[],[f1230,f1885]) ).

fof(f1885,plain,
    ( spl125_47
  <=> cowlThing(iV21027) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_47])]) ).

fof(f1230,plain,
    cowlThing(iV21027),
    inference(cnf_transformation,[],[f249]) ).

fof(f249,axiom,
    cowlThing(iV21027),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_248) ).

fof(f1919,plain,
    spl125_54,
    inference(avatar_split_clause,[],[f1229,f1913]) ).

fof(f1913,plain,
    ( spl125_54
  <=> cowlThing(iV21030) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_54])]) ).

fof(f1229,plain,
    cowlThing(iV21030),
    inference(cnf_transformation,[],[f307]) ).

fof(f307,axiom,
    cowlThing(iV21030),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_306) ).

fof(f1918,plain,
    spl125_51,
    inference(avatar_split_clause,[],[f1228,f1901]) ).

fof(f1901,plain,
    ( spl125_51
  <=> cowlThing(iV21029) ),
    introduced(avatar_definition,[new_symbols(naming,[spl125_51])]) ).

fof(f1228,plain,
    cowlThing(iV21029),
    inference(cnf_transformation,[],[f279]) ).

fof(f279,axiom,
    cowlThing(iV21029),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_278) ).

fof(f1917,plain,
    ( ~ spl125_1
    | spl125_2
    | spl125_3
    | ~ spl125_4
    | ~ spl125_5
    | ~ spl125_6
    | ~ spl125_7
    | ~ spl125_8
    | ~ spl125_9
    | ~ spl125_10
    | ~ spl125_11
    | ~ spl125_12
    | ~ spl125_13
    | ~ spl125_14
    | ~ spl125_15
    | ~ spl125_16
    | ~ spl125_17
    | ~ spl125_18
    | ~ spl125_19
    | ~ spl125_20
    | ~ spl125_21
    | ~ spl125_22
    | ~ spl125_23
    | ~ spl125_24
    | ~ spl125_25
    | ~ spl125_26
    | ~ spl125_27
    | ~ spl125_28
    | ~ spl125_29
    | ~ spl125_30
    | ~ spl125_31
    | ~ spl125_32
    | ~ spl125_33
    | ~ spl125_34
    | ~ spl125_35
    | ~ spl125_36
    | ~ spl125_37
    | ~ spl125_38
    | ~ spl125_39
    | ~ spl125_40
    | ~ spl125_41
    | ~ spl125_42
    | ~ spl125_43
    | ~ spl125_44
    | ~ spl125_45
    | ~ spl125_46
    | ~ spl125_47
    | ~ spl125_48
    | ~ spl125_49
    | ~ spl125_50
    | ~ spl125_51
    | ~ spl125_52
    | ~ spl125_53
    | ~ spl125_54 ),
    inference(avatar_split_clause,[],[f1113,f1913,f1909,f1905,f1901,f1897,f1893,f1889,f1885,f1881,f1877,f1873,f1869,f1865,f1861,f1857,f1853,f1849,f1845,f1841,f1837,f1833,f1829,f1825,f1821,f1817,f1813,f1809,f1805,f1801,f1797,f1793,f1789,f1785,f1781,f1777,f1773,f1769,f1765,f1761,f1757,f1753,f1749,f1745,f1741,f1737,f1733,f1729,f1725,f1721,f1717,f1713,f1709,f1705,f1701]) ).

fof(f1113,plain,
    ( ~ cowlThing(iV21030)
    | ~ cC66(iV21030)
    | ~ cC72(iV21030)
    | ~ cowlThing(iV21029)
    | ~ cC44(iV21029)
    | ~ cC50(iV21029)
    | ~ cC24(iV21027)
    | ~ cowlThing(iV21027)
    | ~ cC30(iV21027)
    | ~ cC86(iV21026)
    | ~ cC156(iV21026)
    | ~ cC42(iV21026)
    | ~ cC134(iV21026)
    | ~ cC4(iV21026)
    | ~ cC168(iV21026)
    | ~ cC130(iV21026)
    | ~ cC88(iV21026)
    | ~ cC80(iV21026)
    | ~ cC152(iV21026)
    | ~ cC14(iV21026)
    | ~ cC82(iV21026)
    | ~ cC116(iV21026)
    | ~ cC64(iV21026)
    | ~ cC112(iV21026)
    | ~ cC36(iV21026)
    | ~ cC8(iV21026)
    | ~ cC62(iV21026)
    | ~ cC174(iV21026)
    | ~ cC138(iV21026)
    | ~ cC38(iV21026)
    | ~ cC84(iV21026)
    | ~ cC20(iV21026)
    | ~ cC114(iV21026)
    | ~ cC132(iV21026)
    | ~ cC16(iV21026)
    | ~ cC78(iV21026)
    | ~ cC180(iV21026)
    | ~ cC154(iV21026)
    | ~ cC60(iV21026)
    | ~ cC22(iV21026)
    | ~ cC110(iV21026)
    | ~ cC158(iV21026)
    | ~ cC56(iV21026)
    | ~ cC58(iV21026)
    | ~ cowlThing(iV21026)
    | ~ cC90(iV21026)
    | ~ cC10(iV21026)
    | ~ cC136(iV21026)
    | ~ cC40(iV21026)
    | ~ cC108(iV21026)
    | ~ xsd_integer(sK0)
    | xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(cnf_transformation,[],[f547]) ).

fof(f547,plain,
    ( ~ cowlThing(iV21030)
    | ~ cC66(iV21030)
    | ~ cC72(iV21030)
    | ~ cowlThing(iV21029)
    | ~ cC44(iV21029)
    | ~ cC50(iV21029)
    | ~ cC24(iV21027)
    | ~ cowlThing(iV21027)
    | ~ cC30(iV21027)
    | ~ cC86(iV21026)
    | ~ cC156(iV21026)
    | ~ cC42(iV21026)
    | ~ cC134(iV21026)
    | ~ cC4(iV21026)
    | ~ cC168(iV21026)
    | ~ cC130(iV21026)
    | ~ cC88(iV21026)
    | ~ cC80(iV21026)
    | ~ cC152(iV21026)
    | ~ cC14(iV21026)
    | ~ cC82(iV21026)
    | ~ cC116(iV21026)
    | ~ cC64(iV21026)
    | ~ cC112(iV21026)
    | ~ cC36(iV21026)
    | ~ cC8(iV21026)
    | ~ cC62(iV21026)
    | ~ cC174(iV21026)
    | ~ cC138(iV21026)
    | ~ cC38(iV21026)
    | ~ cC84(iV21026)
    | ~ cC20(iV21026)
    | ~ cC114(iV21026)
    | ~ cC132(iV21026)
    | ~ cC16(iV21026)
    | ~ cC78(iV21026)
    | ~ cC180(iV21026)
    | ~ cC154(iV21026)
    | ~ cC60(iV21026)
    | ~ cC22(iV21026)
    | ~ cC110(iV21026)
    | ~ cC158(iV21026)
    | ~ cC56(iV21026)
    | ~ cC58(iV21026)
    | ~ cowlThing(iV21026)
    | ~ cC90(iV21026)
    | ~ cC10(iV21026)
    | ~ cC136(iV21026)
    | ~ cC40(iV21026)
    | ~ cC108(iV21026)
    | ( ( xsd_integer(sK0)
        | ~ xsd_string(sK0) )
      & ( ~ xsd_integer(sK0)
        | xsd_string(sK0) ) )
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f544,f546,f545]) ).

fof(f545,plain,
    ( ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
   => ( ( xsd_integer(sK0)
        | ~ xsd_string(sK0) )
      & ( ~ xsd_integer(sK0)
        | xsd_string(sK0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f546,plain,
    ( ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) )
   => ( cowlNothing(sK1)
      | ~ cowlThing(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f544,plain,
    ( ~ cowlThing(iV21030)
    | ~ cC66(iV21030)
    | ~ cC72(iV21030)
    | ~ cowlThing(iV21029)
    | ~ cC44(iV21029)
    | ~ cC50(iV21029)
    | ~ cC24(iV21027)
    | ~ cowlThing(iV21027)
    | ~ cC30(iV21027)
    | ~ cC86(iV21026)
    | ~ cC156(iV21026)
    | ~ cC42(iV21026)
    | ~ cC134(iV21026)
    | ~ cC4(iV21026)
    | ~ cC168(iV21026)
    | ~ cC130(iV21026)
    | ~ cC88(iV21026)
    | ~ cC80(iV21026)
    | ~ cC152(iV21026)
    | ~ cC14(iV21026)
    | ~ cC82(iV21026)
    | ~ cC116(iV21026)
    | ~ cC64(iV21026)
    | ~ cC112(iV21026)
    | ~ cC36(iV21026)
    | ~ cC8(iV21026)
    | ~ cC62(iV21026)
    | ~ cC174(iV21026)
    | ~ cC138(iV21026)
    | ~ cC38(iV21026)
    | ~ cC84(iV21026)
    | ~ cC20(iV21026)
    | ~ cC114(iV21026)
    | ~ cC132(iV21026)
    | ~ cC16(iV21026)
    | ~ cC78(iV21026)
    | ~ cC180(iV21026)
    | ~ cC154(iV21026)
    | ~ cC60(iV21026)
    | ~ cC22(iV21026)
    | ~ cC110(iV21026)
    | ~ cC158(iV21026)
    | ~ cC56(iV21026)
    | ~ cC58(iV21026)
    | ~ cowlThing(iV21026)
    | ~ cC90(iV21026)
    | ~ cC10(iV21026)
    | ~ cC136(iV21026)
    | ~ cC40(iV21026)
    | ~ cC108(iV21026)
    | ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(nnf_transformation,[],[f455]) ).

fof(f455,plain,
    ( ~ cowlThing(iV21030)
    | ~ cC66(iV21030)
    | ~ cC72(iV21030)
    | ~ cowlThing(iV21029)
    | ~ cC44(iV21029)
    | ~ cC50(iV21029)
    | ~ cC24(iV21027)
    | ~ cowlThing(iV21027)
    | ~ cC30(iV21027)
    | ~ cC86(iV21026)
    | ~ cC156(iV21026)
    | ~ cC42(iV21026)
    | ~ cC134(iV21026)
    | ~ cC4(iV21026)
    | ~ cC168(iV21026)
    | ~ cC130(iV21026)
    | ~ cC88(iV21026)
    | ~ cC80(iV21026)
    | ~ cC152(iV21026)
    | ~ cC14(iV21026)
    | ~ cC82(iV21026)
    | ~ cC116(iV21026)
    | ~ cC64(iV21026)
    | ~ cC112(iV21026)
    | ~ cC36(iV21026)
    | ~ cC8(iV21026)
    | ~ cC62(iV21026)
    | ~ cC174(iV21026)
    | ~ cC138(iV21026)
    | ~ cC38(iV21026)
    | ~ cC84(iV21026)
    | ~ cC20(iV21026)
    | ~ cC114(iV21026)
    | ~ cC132(iV21026)
    | ~ cC16(iV21026)
    | ~ cC78(iV21026)
    | ~ cC180(iV21026)
    | ~ cC154(iV21026)
    | ~ cC60(iV21026)
    | ~ cC22(iV21026)
    | ~ cC110(iV21026)
    | ~ cC158(iV21026)
    | ~ cC56(iV21026)
    | ~ cC58(iV21026)
    | ~ cowlThing(iV21026)
    | ~ cC90(iV21026)
    | ~ cC10(iV21026)
    | ~ cC136(iV21026)
    | ~ cC40(iV21026)
    | ~ cC108(iV21026)
    | ? [X0] :
        ( xsd_string(X0)
      <~> ~ xsd_integer(X0) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(ennf_transformation,[],[f345]) ).

fof(f345,plain,
    ~ ( cowlThing(iV21030)
      & cC66(iV21030)
      & cC72(iV21030)
      & cowlThing(iV21029)
      & cC44(iV21029)
      & cC50(iV21029)
      & cC24(iV21027)
      & cowlThing(iV21027)
      & cC30(iV21027)
      & cC86(iV21026)
      & cC156(iV21026)
      & cC42(iV21026)
      & cC134(iV21026)
      & cC4(iV21026)
      & cC168(iV21026)
      & cC130(iV21026)
      & cC88(iV21026)
      & cC80(iV21026)
      & cC152(iV21026)
      & cC14(iV21026)
      & cC82(iV21026)
      & cC116(iV21026)
      & cC64(iV21026)
      & cC112(iV21026)
      & cC36(iV21026)
      & cC8(iV21026)
      & cC62(iV21026)
      & cC174(iV21026)
      & cC138(iV21026)
      & cC38(iV21026)
      & cC84(iV21026)
      & cC20(iV21026)
      & cC114(iV21026)
      & cC132(iV21026)
      & cC16(iV21026)
      & cC78(iV21026)
      & cC180(iV21026)
      & cC154(iV21026)
      & cC60(iV21026)
      & cC22(iV21026)
      & cC110(iV21026)
      & cC158(iV21026)
      & cC56(iV21026)
      & cC58(iV21026)
      & cowlThing(iV21026)
      & cC90(iV21026)
      & cC10(iV21026)
      & cC136(iV21026)
      & cC40(iV21026)
      & cC108(iV21026)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X1] :
          ( ~ cowlNothing(X1)
          & cowlThing(X1) ) ),
    inference(rectify,[],[f344]) ).

fof(f344,negated_conjecture,
    ~ ( cowlThing(iV21030)
      & cC66(iV21030)
      & cC72(iV21030)
      & cowlThing(iV21029)
      & cC44(iV21029)
      & cC50(iV21029)
      & cC24(iV21027)
      & cowlThing(iV21027)
      & cC30(iV21027)
      & cC86(iV21026)
      & cC156(iV21026)
      & cC42(iV21026)
      & cC134(iV21026)
      & cC4(iV21026)
      & cC168(iV21026)
      & cC130(iV21026)
      & cC88(iV21026)
      & cC80(iV21026)
      & cC152(iV21026)
      & cC14(iV21026)
      & cC82(iV21026)
      & cC116(iV21026)
      & cC64(iV21026)
      & cC112(iV21026)
      & cC36(iV21026)
      & cC8(iV21026)
      & cC62(iV21026)
      & cC174(iV21026)
      & cC138(iV21026)
      & cC38(iV21026)
      & cC84(iV21026)
      & cC20(iV21026)
      & cC114(iV21026)
      & cC132(iV21026)
      & cC16(iV21026)
      & cC78(iV21026)
      & cC180(iV21026)
      & cC154(iV21026)
      & cC60(iV21026)
      & cC22(iV21026)
      & cC110(iV21026)
      & cC158(iV21026)
      & cC56(iV21026)
      & cC58(iV21026)
      & cowlThing(iV21026)
      & cC90(iV21026)
      & cC10(iV21026)
      & cC136(iV21026)
      & cC40(iV21026)
      & cC108(iV21026)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negated_conjecture,[],[f343]) ).

fof(f343,conjecture,
    ( cowlThing(iV21030)
    & cC66(iV21030)
    & cC72(iV21030)
    & cowlThing(iV21029)
    & cC44(iV21029)
    & cC50(iV21029)
    & cC24(iV21027)
    & cowlThing(iV21027)
    & cC30(iV21027)
    & cC86(iV21026)
    & cC156(iV21026)
    & cC42(iV21026)
    & cC134(iV21026)
    & cC4(iV21026)
    & cC168(iV21026)
    & cC130(iV21026)
    & cC88(iV21026)
    & cC80(iV21026)
    & cC152(iV21026)
    & cC14(iV21026)
    & cC82(iV21026)
    & cC116(iV21026)
    & cC64(iV21026)
    & cC112(iV21026)
    & cC36(iV21026)
    & cC8(iV21026)
    & cC62(iV21026)
    & cC174(iV21026)
    & cC138(iV21026)
    & cC38(iV21026)
    & cC84(iV21026)
    & cC20(iV21026)
    & cC114(iV21026)
    & cC132(iV21026)
    & cC16(iV21026)
    & cC78(iV21026)
    & cC180(iV21026)
    & cC154(iV21026)
    & cC60(iV21026)
    & cC22(iV21026)
    & cC110(iV21026)
    & cC158(iV21026)
    & cC56(iV21026)
    & cC58(iV21026)
    & cowlThing(iV21026)
    & cC90(iV21026)
    & cC10(iV21026)
    & cC136(iV21026)
    & cC40(iV21026)
    & cC108(iV21026)
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f1916,plain,
    ( ~ spl125_1
    | spl125_2
    | ~ spl125_3
    | spl125_4
    | ~ spl125_5
    | ~ spl125_6
    | ~ spl125_7
    | ~ spl125_8
    | ~ spl125_9
    | ~ spl125_10
    | ~ spl125_11
    | ~ spl125_12
    | ~ spl125_13
    | ~ spl125_14
    | ~ spl125_15
    | ~ spl125_16
    | ~ spl125_17
    | ~ spl125_18
    | ~ spl125_19
    | ~ spl125_20
    | ~ spl125_21
    | ~ spl125_22
    | ~ spl125_23
    | ~ spl125_24
    | ~ spl125_25
    | ~ spl125_26
    | ~ spl125_27
    | ~ spl125_28
    | ~ spl125_29
    | ~ spl125_30
    | ~ spl125_31
    | ~ spl125_32
    | ~ spl125_33
    | ~ spl125_34
    | ~ spl125_35
    | ~ spl125_36
    | ~ spl125_37
    | ~ spl125_38
    | ~ spl125_39
    | ~ spl125_40
    | ~ spl125_41
    | ~ spl125_42
    | ~ spl125_43
    | ~ spl125_44
    | ~ spl125_45
    | ~ spl125_46
    | ~ spl125_47
    | ~ spl125_48
    | ~ spl125_49
    | ~ spl125_50
    | ~ spl125_51
    | ~ spl125_52
    | ~ spl125_53
    | ~ spl125_54 ),
    inference(avatar_split_clause,[],[f1114,f1913,f1909,f1905,f1901,f1897,f1893,f1889,f1885,f1881,f1877,f1873,f1869,f1865,f1861,f1857,f1853,f1849,f1845,f1841,f1837,f1833,f1829,f1825,f1821,f1817,f1813,f1809,f1805,f1801,f1797,f1793,f1789,f1785,f1781,f1777,f1773,f1769,f1765,f1761,f1757,f1753,f1749,f1745,f1741,f1737,f1733,f1729,f1725,f1721,f1717,f1713,f1709,f1705,f1701]) ).

fof(f1114,plain,
    ( ~ cowlThing(iV21030)
    | ~ cC66(iV21030)
    | ~ cC72(iV21030)
    | ~ cowlThing(iV21029)
    | ~ cC44(iV21029)
    | ~ cC50(iV21029)
    | ~ cC24(iV21027)
    | ~ cowlThing(iV21027)
    | ~ cC30(iV21027)
    | ~ cC86(iV21026)
    | ~ cC156(iV21026)
    | ~ cC42(iV21026)
    | ~ cC134(iV21026)
    | ~ cC4(iV21026)
    | ~ cC168(iV21026)
    | ~ cC130(iV21026)
    | ~ cC88(iV21026)
    | ~ cC80(iV21026)
    | ~ cC152(iV21026)
    | ~ cC14(iV21026)
    | ~ cC82(iV21026)
    | ~ cC116(iV21026)
    | ~ cC64(iV21026)
    | ~ cC112(iV21026)
    | ~ cC36(iV21026)
    | ~ cC8(iV21026)
    | ~ cC62(iV21026)
    | ~ cC174(iV21026)
    | ~ cC138(iV21026)
    | ~ cC38(iV21026)
    | ~ cC84(iV21026)
    | ~ cC20(iV21026)
    | ~ cC114(iV21026)
    | ~ cC132(iV21026)
    | ~ cC16(iV21026)
    | ~ cC78(iV21026)
    | ~ cC180(iV21026)
    | ~ cC154(iV21026)
    | ~ cC60(iV21026)
    | ~ cC22(iV21026)
    | ~ cC110(iV21026)
    | ~ cC158(iV21026)
    | ~ cC56(iV21026)
    | ~ cC58(iV21026)
    | ~ cowlThing(iV21026)
    | ~ cC90(iV21026)
    | ~ cC10(iV21026)
    | ~ cC136(iV21026)
    | ~ cC40(iV21026)
    | ~ cC108(iV21026)
    | xsd_integer(sK0)
    | ~ xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(cnf_transformation,[],[f547]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : KRS159+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n028.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   : Fri May  3 19:51:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (16163)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (16168)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (16169)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (16172)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (16170)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38  % (16173)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  % (16174)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (16171)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.40  TRYING [1]
% 0.14/0.40  TRYING [1]
% 0.14/0.40  TRYING [2]
% 0.14/0.40  TRYING [2]
% 0.14/0.40  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.40  Detected maximum model sizes of [max,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.14/0.40  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.41  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.41  Detected maximum model sizes of [max,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.14/0.41  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.41  TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.41  TRYING [3]
% 0.14/0.41  TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.41  % (16173)First to succeed.
% 0.21/0.41  TRYING [3]
% 0.21/0.42  % (16173)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16163"
% 0.21/0.42  TRYING [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.42  % (16173)Refutation found. Thanks to Tanya!
% 0.21/0.42  % SZS status Theorem for theBenchmark
% 0.21/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42  % (16173)------------------------------
% 0.21/0.42  % (16173)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.42  % (16173)Termination reason: Refutation
% 0.21/0.42  
% 0.21/0.42  % (16173)Memory used [KB]: 2127
% 0.21/0.42  % (16173)Time elapsed: 0.039 s
% 0.21/0.42  % (16173)Instructions burned: 69 (million)
% 0.21/0.42  % (16163)Success in time 0.064 s
%------------------------------------------------------------------------------