TSTP Solution File: KRS161+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : KRS161+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n007.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 : Mon May 20 23:22:21 EDT 2024

% Result   : Theorem 0.24s 0.44s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  118
% Syntax   : Number of formulae    :  373 ( 126 unt;   0 def)
%            Number of atoms       : 1278 (   0 equ)
%            Maximal formula atoms :   51 (   3 avg)
%            Number of connectives : 1492 ( 587   ~; 590   |; 233   &)
%                                         (  69 <=>;  12  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   51 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   94 (  93 usr;  50 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  15 con; 0-1 aty)
%            Number of variables   :  132 ( 118   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2406,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1581,f1582,f1583,f1584,f1585,f1586,f1587,f1588,f1589,f1590,f1591,f1592,f1593,f1594,f1595,f1597,f1602,f1604,f1609,f1612,f1614,f1616,f1619,f1622,f1629,f1632,f1635,f1637,f1640,f1643,f1667,f1670,f1673,f1677,f1683,f1686,f1910,f1911,f2336,f2342,f2347,f2350,f2364,f2375,f2381,f2387,f2393,f2397,f2400,f2402,f2405]) ).

fof(f2405,plain,
    ( ~ spl107_3
    | ~ spl107_4 ),
    inference(avatar_contradiction_clause,[],[f2404]) ).

fof(f2404,plain,
    ( $false
    | ~ spl107_3
    | ~ spl107_4 ),
    inference(subsumption_resolution,[],[f2403,f1395]) ).

fof(f1395,plain,
    ( xsd_string(sK0)
    | ~ spl107_3 ),
    inference(avatar_component_clause,[],[f1394]) ).

fof(f1394,plain,
    ( spl107_3
  <=> xsd_string(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_3])]) ).

fof(f2403,plain,
    ( ~ xsd_string(sK0)
    | ~ spl107_4 ),
    inference(resolution,[],[f1400,f1053]) ).

fof(f1053,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f436]) ).

fof(f436,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(f1400,plain,
    ( xsd_integer(sK0)
    | ~ spl107_4 ),
    inference(avatar_component_clause,[],[f1398]) ).

fof(f1398,plain,
    ( spl107_4
  <=> xsd_integer(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_4])]) ).

fof(f2402,plain,
    ~ spl107_2,
    inference(avatar_contradiction_clause,[],[f2401]) ).

fof(f2401,plain,
    ( $false
    | ~ spl107_2 ),
    inference(subsumption_resolution,[],[f1392,f1011]) ).

fof(f1011,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(f1392,plain,
    ( cowlNothing(sK1)
    | ~ spl107_2 ),
    inference(avatar_component_clause,[],[f1390]) ).

fof(f1390,plain,
    ( spl107_2
  <=> cowlNothing(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_2])]) ).

fof(f2400,plain,
    ( spl107_3
    | spl107_4 ),
    inference(avatar_contradiction_clause,[],[f2399]) ).

fof(f2399,plain,
    ( $false
    | spl107_3
    | spl107_4 ),
    inference(subsumption_resolution,[],[f2398,f1396]) ).

fof(f1396,plain,
    ( ~ xsd_string(sK0)
    | spl107_3 ),
    inference(avatar_component_clause,[],[f1394]) ).

fof(f2398,plain,
    ( xsd_string(sK0)
    | spl107_4 ),
    inference(resolution,[],[f1399,f1054]) ).

fof(f1054,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f436]) ).

fof(f1399,plain,
    ( ~ xsd_integer(sK0)
    | spl107_4 ),
    inference(avatar_component_clause,[],[f1398]) ).

fof(f2397,plain,
    ( spl107_17
    | ~ spl107_18 ),
    inference(avatar_contradiction_clause,[],[f2396]) ).

fof(f2396,plain,
    ( $false
    | spl107_17
    | ~ spl107_18 ),
    inference(subsumption_resolution,[],[f2395,f933]) ).

fof(f933,plain,
    cC74xcomp(iV16453),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,axiom,
    cC74xcomp(iV16453),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_174) ).

fof(f2395,plain,
    ( ~ cC74xcomp(iV16453)
    | spl107_17
    | ~ spl107_18 ),
    inference(subsumption_resolution,[],[f2394,f1455]) ).

fof(f1455,plain,
    ( cC62(iV16453)
    | ~ spl107_18 ),
    inference(avatar_component_clause,[],[f1454]) ).

fof(f1454,plain,
    ( spl107_18
  <=> cC62(iV16453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_18])]) ).

fof(f2394,plain,
    ( ~ cC62(iV16453)
    | ~ cC74xcomp(iV16453)
    | spl107_17 ),
    inference(resolution,[],[f1452,f1330]) ).

fof(f1330,plain,
    ! [X0] :
      ( cC76(X0)
      | ~ cC62(X0)
      | ~ cC74xcomp(X0) ),
    inference(cnf_transformation,[],[f832]) ).

fof(f832,plain,
    ! [X0] :
      ( ( cC76(X0)
        | ~ cC62(X0)
        | ~ cC74xcomp(X0) )
      & ( ( cC62(X0)
          & cC74xcomp(X0) )
        | ~ cC76(X0) ) ),
    inference(flattening,[],[f831]) ).

fof(f831,plain,
    ! [X0] :
      ( ( cC76(X0)
        | ~ cC62(X0)
        | ~ cC74xcomp(X0) )
      & ( ( cC62(X0)
          & cC74xcomp(X0) )
        | ~ cC76(X0) ) ),
    inference(nnf_transformation,[],[f113]) ).

fof(f113,axiom,
    ! [X0] :
      ( cC76(X0)
    <=> ( cC62(X0)
        & cC74xcomp(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_112) ).

fof(f1452,plain,
    ( ~ cC76(iV16453)
    | spl107_17 ),
    inference(avatar_component_clause,[],[f1450]) ).

fof(f1450,plain,
    ( spl107_17
  <=> cC76(iV16453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_17])]) ).

fof(f2393,plain,
    spl107_30,
    inference(avatar_contradiction_clause,[],[f2392]) ).

fof(f2392,plain,
    ( $false
    | spl107_30 ),
    inference(subsumption_resolution,[],[f2391,f924]) ).

fof(f924,plain,
    cC64xcomp(iV16459),
    inference(cnf_transformation,[],[f214]) ).

fof(f214,axiom,
    cC64xcomp(iV16459),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_213) ).

fof(f2391,plain,
    ( ~ cC64xcomp(iV16459)
    | spl107_30 ),
    inference(subsumption_resolution,[],[f2390,f918]) ).

fof(f918,plain,
    cC66xcomp(iV16459),
    inference(cnf_transformation,[],[f222]) ).

fof(f222,axiom,
    cC66xcomp(iV16459),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_221) ).

fof(f2390,plain,
    ( ~ cC66xcomp(iV16459)
    | ~ cC64xcomp(iV16459)
    | spl107_30 ),
    inference(resolution,[],[f1504,f1364]) ).

fof(f1364,plain,
    ! [X0] :
      ( cC68(X0)
      | ~ cC66xcomp(X0)
      | ~ cC64xcomp(X0) ),
    inference(cnf_transformation,[],[f884]) ).

fof(f884,plain,
    ! [X0] :
      ( ( cC68(X0)
        | ~ cC66xcomp(X0)
        | ~ cC64xcomp(X0) )
      & ( ( cC66xcomp(X0)
          & cC64xcomp(X0) )
        | ~ cC68(X0) ) ),
    inference(flattening,[],[f883]) ).

fof(f883,plain,
    ! [X0] :
      ( ( cC68(X0)
        | ~ cC66xcomp(X0)
        | ~ cC64xcomp(X0) )
      & ( ( cC66xcomp(X0)
          & cC64xcomp(X0) )
        | ~ cC68(X0) ) ),
    inference(nnf_transformation,[],[f101]) ).

fof(f101,axiom,
    ! [X0] :
      ( cC68(X0)
    <=> ( cC66xcomp(X0)
        & cC64xcomp(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_100) ).

fof(f1504,plain,
    ( ~ cC68(iV16459)
    | spl107_30 ),
    inference(avatar_component_clause,[],[f1502]) ).

fof(f1502,plain,
    ( spl107_30
  <=> cC68(iV16459) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_30])]) ).

fof(f2387,plain,
    spl107_29,
    inference(avatar_contradiction_clause,[],[f2386]) ).

fof(f2386,plain,
    ( $false
    | spl107_29 ),
    inference(subsumption_resolution,[],[f2385,f926]) ).

fof(f926,plain,
    cC30xcomp(iV16459),
    inference(cnf_transformation,[],[f210]) ).

fof(f210,axiom,
    cC30xcomp(iV16459),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_209) ).

fof(f2385,plain,
    ( ~ cC30xcomp(iV16459)
    | spl107_29 ),
    inference(subsumption_resolution,[],[f2384,f921]) ).

fof(f921,plain,
    cC32xcomp(iV16459),
    inference(cnf_transformation,[],[f217]) ).

fof(f217,axiom,
    cC32xcomp(iV16459),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_216) ).

fof(f2384,plain,
    ( ~ cC32xcomp(iV16459)
    | ~ cC30xcomp(iV16459)
    | spl107_29 ),
    inference(resolution,[],[f1500,f1373]) ).

fof(f1373,plain,
    ! [X0] :
      ( cC34(X0)
      | ~ cC32xcomp(X0)
      | ~ cC30xcomp(X0) ),
    inference(cnf_transformation,[],[f890]) ).

fof(f890,plain,
    ! [X0] :
      ( ( cC34(X0)
        | ~ cC32xcomp(X0)
        | ~ cC30xcomp(X0) )
      & ( ( cC32xcomp(X0)
          & cC30xcomp(X0) )
        | ~ cC34(X0) ) ),
    inference(flattening,[],[f889]) ).

fof(f889,plain,
    ! [X0] :
      ( ( cC34(X0)
        | ~ cC32xcomp(X0)
        | ~ cC30xcomp(X0) )
      & ( ( cC32xcomp(X0)
          & cC30xcomp(X0) )
        | ~ cC34(X0) ) ),
    inference(nnf_transformation,[],[f53]) ).

fof(f53,axiom,
    ! [X0] :
      ( cC34(X0)
    <=> ( cC32xcomp(X0)
        & cC30xcomp(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).

fof(f1500,plain,
    ( ~ cC34(iV16459)
    | spl107_29 ),
    inference(avatar_component_clause,[],[f1498]) ).

fof(f1498,plain,
    ( spl107_29
  <=> cC34(iV16459) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_29])]) ).

fof(f2381,plain,
    spl107_28,
    inference(avatar_contradiction_clause,[],[f2380]) ).

fof(f2380,plain,
    ( $false
    | spl107_28 ),
    inference(subsumption_resolution,[],[f2379,f925]) ).

fof(f925,plain,
    cC84xcomp(iV16459),
    inference(cnf_transformation,[],[f211]) ).

fof(f211,axiom,
    cC84xcomp(iV16459),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_210) ).

fof(f2379,plain,
    ( ~ cC84xcomp(iV16459)
    | spl107_28 ),
    inference(subsumption_resolution,[],[f2378,f922]) ).

fof(f922,plain,
    cC86xcomp(iV16459),
    inference(cnf_transformation,[],[f216]) ).

fof(f216,axiom,
    cC86xcomp(iV16459),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_215) ).

fof(f2378,plain,
    ( ~ cC86xcomp(iV16459)
    | ~ cC84xcomp(iV16459)
    | spl107_28 ),
    inference(resolution,[],[f1496,f1367]) ).

fof(f1367,plain,
    ! [X0] :
      ( cC88(X0)
      | ~ cC86xcomp(X0)
      | ~ cC84xcomp(X0) ),
    inference(cnf_transformation,[],[f886]) ).

fof(f886,plain,
    ! [X0] :
      ( ( cC88(X0)
        | ~ cC86xcomp(X0)
        | ~ cC84xcomp(X0) )
      & ( ( cC86xcomp(X0)
          & cC84xcomp(X0) )
        | ~ cC88(X0) ) ),
    inference(flattening,[],[f885]) ).

fof(f885,plain,
    ! [X0] :
      ( ( cC88(X0)
        | ~ cC86xcomp(X0)
        | ~ cC84xcomp(X0) )
      & ( ( cC86xcomp(X0)
          & cC84xcomp(X0) )
        | ~ cC88(X0) ) ),
    inference(nnf_transformation,[],[f129]) ).

fof(f129,axiom,
    ! [X0] :
      ( cC88(X0)
    <=> ( cC86xcomp(X0)
        & cC84xcomp(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_128) ).

fof(f1496,plain,
    ( ~ cC88(iV16459)
    | spl107_28 ),
    inference(avatar_component_clause,[],[f1494]) ).

fof(f1494,plain,
    ( spl107_28
  <=> cC88(iV16459) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_28])]) ).

fof(f2375,plain,
    spl107_27,
    inference(avatar_contradiction_clause,[],[f2374]) ).

fof(f2374,plain,
    ( $false
    | spl107_27 ),
    inference(subsumption_resolution,[],[f2373,f923]) ).

fof(f923,plain,
    cC46xcomp(iV16459),
    inference(cnf_transformation,[],[f213]) ).

fof(f213,axiom,
    cC46xcomp(iV16459),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_212) ).

fof(f2373,plain,
    ( ~ cC46xcomp(iV16459)
    | spl107_27 ),
    inference(subsumption_resolution,[],[f2372,f920]) ).

fof(f920,plain,
    cC48xcomp(iV16459),
    inference(cnf_transformation,[],[f218]) ).

fof(f218,axiom,
    cC48xcomp(iV16459),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_217) ).

fof(f2372,plain,
    ( ~ cC48xcomp(iV16459)
    | ~ cC46xcomp(iV16459)
    | spl107_27 ),
    inference(resolution,[],[f1492,f1370]) ).

fof(f1370,plain,
    ! [X0] :
      ( cC50(X0)
      | ~ cC48xcomp(X0)
      | ~ cC46xcomp(X0) ),
    inference(cnf_transformation,[],[f888]) ).

fof(f888,plain,
    ! [X0] :
      ( ( cC50(X0)
        | ~ cC48xcomp(X0)
        | ~ cC46xcomp(X0) )
      & ( ( cC48xcomp(X0)
          & cC46xcomp(X0) )
        | ~ cC50(X0) ) ),
    inference(flattening,[],[f887]) ).

fof(f887,plain,
    ! [X0] :
      ( ( cC50(X0)
        | ~ cC48xcomp(X0)
        | ~ cC46xcomp(X0) )
      & ( ( cC48xcomp(X0)
          & cC46xcomp(X0) )
        | ~ cC50(X0) ) ),
    inference(nnf_transformation,[],[f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( cC50(X0)
    <=> ( cC48xcomp(X0)
        & cC46xcomp(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_73) ).

fof(f1492,plain,
    ( ~ cC50(iV16459)
    | spl107_27 ),
    inference(avatar_component_clause,[],[f1490]) ).

fof(f1490,plain,
    ( spl107_27
  <=> cC50(iV16459) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_27])]) ).

fof(f2364,plain,
    spl107_23,
    inference(avatar_split_clause,[],[f2361,f1474]) ).

fof(f1474,plain,
    ( spl107_23
  <=> cC42(iV16455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_23])]) ).

fof(f2361,plain,
    cC42(iV16455),
    inference(resolution,[],[f2308,f1007]) ).

fof(f1007,plain,
    rR1(iV16455,iV16460),
    inference(cnf_transformation,[],[f194]) ).

fof(f194,axiom,
    rR1(iV16455,iV16460),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_193) ).

fof(f2308,plain,
    ! [X0] :
      ( ~ rR1(X0,iV16460)
      | cC42(X0) ),
    inference(resolution,[],[f1285,f966]) ).

fof(f966,plain,
    cC8xcomp(iV16460),
    inference(cnf_transformation,[],[f228]) ).

fof(f228,axiom,
    cC8xcomp(iV16460),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_227) ).

fof(f1285,plain,
    ! [X0,X1] :
      ( ~ cC8xcomp(X1)
      | cC42(X0)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f758]) ).

fof(f758,plain,
    ! [X0] :
      ( ( cC42(X0)
        | ! [X1] :
            ( ~ cC8xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ( cC8xcomp(sK71(X0))
          & rR1(X0,sK71(X0)) )
        | ~ cC42(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK71])],[f756,f757]) ).

fof(f757,plain,
    ! [X0] :
      ( ? [X2] :
          ( cC8xcomp(X2)
          & rR1(X0,X2) )
     => ( cC8xcomp(sK71(X0))
        & rR1(X0,sK71(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f756,plain,
    ! [X0] :
      ( ( cC42(X0)
        | ! [X1] :
            ( ~ cC8xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X2] :
            ( cC8xcomp(X2)
            & rR1(X0,X2) )
        | ~ cC42(X0) ) ),
    inference(rectify,[],[f755]) ).

fof(f755,plain,
    ! [X0] :
      ( ( cC42(X0)
        | ! [X1] :
            ( ~ cC8xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X1] :
            ( cC8xcomp(X1)
            & rR1(X0,X1) )
        | ~ cC42(X0) ) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f66,axiom,
    ! [X0] :
      ( cC42(X0)
    <=> ? [X1] :
          ( cC8xcomp(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).

fof(f2350,plain,
    ( ~ spl107_23
    | spl107_22 ),
    inference(avatar_split_clause,[],[f2349,f1470,f1474]) ).

fof(f1470,plain,
    ( spl107_22
  <=> cC44(iV16455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_22])]) ).

fof(f2349,plain,
    ( ~ cC42(iV16455)
    | spl107_22 ),
    inference(subsumption_resolution,[],[f2348,f940]) ).

fof(f940,plain,
    cC40xcomp(iV16455),
    inference(cnf_transformation,[],[f186]) ).

fof(f186,axiom,
    cC40xcomp(iV16455),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_185) ).

fof(f2348,plain,
    ( ~ cC42(iV16455)
    | ~ cC40xcomp(iV16455)
    | spl107_22 ),
    inference(resolution,[],[f1472,f1282]) ).

fof(f1282,plain,
    ! [X0] :
      ( cC44(X0)
      | ~ cC42(X0)
      | ~ cC40xcomp(X0) ),
    inference(cnf_transformation,[],[f754]) ).

fof(f754,plain,
    ! [X0] :
      ( ( cC44(X0)
        | ~ cC42(X0)
        | ~ cC40xcomp(X0) )
      & ( ( cC42(X0)
          & cC40xcomp(X0) )
        | ~ cC44(X0) ) ),
    inference(flattening,[],[f753]) ).

fof(f753,plain,
    ! [X0] :
      ( ( cC44(X0)
        | ~ cC42(X0)
        | ~ cC40xcomp(X0) )
      & ( ( cC42(X0)
          & cC40xcomp(X0) )
        | ~ cC44(X0) ) ),
    inference(nnf_transformation,[],[f67]) ).

fof(f67,axiom,
    ! [X0] :
      ( cC44(X0)
    <=> ( cC42(X0)
        & cC40xcomp(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_66) ).

fof(f1472,plain,
    ( ~ cC44(iV16455)
    | spl107_22 ),
    inference(avatar_component_clause,[],[f1470]) ).

fof(f2347,plain,
    ( ~ spl107_22
    | spl107_21 ),
    inference(avatar_split_clause,[],[f2346,f1466,f1470]) ).

fof(f1466,plain,
    ( spl107_21
  <=> cC56(iV16455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_21])]) ).

fof(f2346,plain,
    ( ~ cC44(iV16455)
    | spl107_21 ),
    inference(subsumption_resolution,[],[f2345,f939]) ).

fof(f939,plain,
    cC54xcomp(iV16455),
    inference(cnf_transformation,[],[f191]) ).

fof(f191,axiom,
    cC54xcomp(iV16455),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_190) ).

fof(f2345,plain,
    ( ~ cC44(iV16455)
    | ~ cC54xcomp(iV16455)
    | spl107_21 ),
    inference(resolution,[],[f1468,f1341]) ).

fof(f1341,plain,
    ! [X0] :
      ( cC56(X0)
      | ~ cC44(X0)
      | ~ cC54xcomp(X0) ),
    inference(cnf_transformation,[],[f850]) ).

fof(f850,plain,
    ! [X0] :
      ( ( cC56(X0)
        | ~ cC44(X0)
        | ~ cC54xcomp(X0) )
      & ( ( cC44(X0)
          & cC54xcomp(X0) )
        | ~ cC56(X0) ) ),
    inference(flattening,[],[f849]) ).

fof(f849,plain,
    ! [X0] :
      ( ( cC56(X0)
        | ~ cC44(X0)
        | ~ cC54xcomp(X0) )
      & ( ( cC44(X0)
          & cC54xcomp(X0) )
        | ~ cC56(X0) ) ),
    inference(nnf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( cC56(X0)
    <=> ( cC44(X0)
        & cC54xcomp(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_82) ).

fof(f1468,plain,
    ( ~ cC56(iV16455)
    | spl107_21 ),
    inference(avatar_component_clause,[],[f1466]) ).

fof(f2342,plain,
    ( spl107_18
    | ~ spl107_20 ),
    inference(avatar_split_clause,[],[f2339,f1462,f1454]) ).

fof(f1462,plain,
    ( spl107_20
  <=> cC60(iV16453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_20])]) ).

fof(f2339,plain,
    ( cC62(iV16453)
    | ~ spl107_20 ),
    inference(subsumption_resolution,[],[f2338,f932]) ).

fof(f932,plain,
    cC58xcomp(iV16453),
    inference(cnf_transformation,[],[f182]) ).

fof(f182,axiom,
    cC58xcomp(iV16453),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_181) ).

fof(f2338,plain,
    ( ~ cC58xcomp(iV16453)
    | cC62(iV16453)
    | ~ spl107_20 ),
    inference(resolution,[],[f1463,f1276]) ).

fof(f1276,plain,
    ! [X0] :
      ( ~ cC60(X0)
      | ~ cC58xcomp(X0)
      | cC62(X0) ),
    inference(cnf_transformation,[],[f748]) ).

fof(f748,plain,
    ! [X0] :
      ( ( cC62(X0)
        | ~ cC58xcomp(X0)
        | ~ cC60(X0) )
      & ( ( cC58xcomp(X0)
          & cC60(X0) )
        | ~ cC62(X0) ) ),
    inference(flattening,[],[f747]) ).

fof(f747,plain,
    ! [X0] :
      ( ( cC62(X0)
        | ~ cC58xcomp(X0)
        | ~ cC60(X0) )
      & ( ( cC58xcomp(X0)
          & cC60(X0) )
        | ~ cC62(X0) ) ),
    inference(nnf_transformation,[],[f93]) ).

fof(f93,axiom,
    ! [X0] :
      ( cC62(X0)
    <=> ( cC58xcomp(X0)
        & cC60(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_92) ).

fof(f1463,plain,
    ( cC60(iV16453)
    | ~ spl107_20 ),
    inference(avatar_component_clause,[],[f1462]) ).

fof(f2336,plain,
    spl107_20,
    inference(avatar_split_clause,[],[f2335,f1462]) ).

fof(f2335,plain,
    cC60(iV16453),
    inference(resolution,[],[f2292,f1005]) ).

fof(f1005,plain,
    rR1(iV16453,iV16461),
    inference(cnf_transformation,[],[f183]) ).

fof(f183,axiom,
    rR1(iV16453,iV16461),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_182) ).

fof(f2292,plain,
    ! [X0] :
      ( ~ rR1(X0,iV16461)
      | cC60(X0) ),
    inference(resolution,[],[f1279,f946]) ).

fof(f946,plain,
    cC12xcomp(iV16461),
    inference(cnf_transformation,[],[f238]) ).

fof(f238,axiom,
    cC12xcomp(iV16461),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_237) ).

fof(f1279,plain,
    ! [X0,X1] :
      ( ~ cC12xcomp(X1)
      | cC60(X0)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f752]) ).

fof(f752,plain,
    ! [X0] :
      ( ( cC60(X0)
        | ! [X1] :
            ( ~ cC12xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ( cC12xcomp(sK70(X0))
          & rR1(X0,sK70(X0)) )
        | ~ cC60(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK70])],[f750,f751]) ).

fof(f751,plain,
    ! [X0] :
      ( ? [X2] :
          ( cC12xcomp(X2)
          & rR1(X0,X2) )
     => ( cC12xcomp(sK70(X0))
        & rR1(X0,sK70(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f750,plain,
    ! [X0] :
      ( ( cC60(X0)
        | ! [X1] :
            ( ~ cC12xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X2] :
            ( cC12xcomp(X2)
            & rR1(X0,X2) )
        | ~ cC60(X0) ) ),
    inference(rectify,[],[f749]) ).

fof(f749,plain,
    ! [X0] :
      ( ( cC60(X0)
        | ! [X1] :
            ( ~ cC12xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X1] :
            ( cC12xcomp(X1)
            & rR1(X0,X1) )
        | ~ cC60(X0) ) ),
    inference(nnf_transformation,[],[f92]) ).

fof(f92,axiom,
    ! [X0] :
      ( cC60(X0)
    <=> ? [X1] :
          ( cC12xcomp(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_91) ).

fof(f1911,plain,
    spl107_15,
    inference(avatar_split_clause,[],[f1906,f1442]) ).

fof(f1442,plain,
    ( spl107_15
  <=> cC38(iV16448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_15])]) ).

fof(f1906,plain,
    cC38(iV16448),
    inference(subsumption_resolution,[],[f1901,f960]) ).

fof(f960,plain,
    cC36xcomp(iV16448),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,axiom,
    cC36xcomp(iV16448),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_168) ).

fof(f1901,plain,
    ( ~ cC36xcomp(iV16448)
    | cC38(iV16448) ),
    inference(resolution,[],[f1353,f948]) ).

fof(f948,plain,
    cTOP(iV16448),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,axiom,
    cTOP(iV16448),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_163) ).

fof(f1353,plain,
    ! [X0] :
      ( ~ cTOP(X0)
      | ~ cC36xcomp(X0)
      | cC38(X0) ),
    inference(cnf_transformation,[],[f868]) ).

fof(f868,plain,
    ! [X0] :
      ( ( cC38(X0)
        | ~ cC36xcomp(X0)
        | ~ cTOP(X0) )
      & ( ( cC36xcomp(X0)
          & cTOP(X0) )
        | ~ cC38(X0) ) ),
    inference(flattening,[],[f867]) ).

fof(f867,plain,
    ! [X0] :
      ( ( cC38(X0)
        | ~ cC36xcomp(X0)
        | ~ cTOP(X0) )
      & ( ( cC36xcomp(X0)
          & cTOP(X0) )
        | ~ cC38(X0) ) ),
    inference(nnf_transformation,[],[f58]) ).

fof(f58,axiom,
    ! [X0] :
      ( cC38(X0)
    <=> ( cC36xcomp(X0)
        & cTOP(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).

fof(f1910,plain,
    spl107_25,
    inference(avatar_split_clause,[],[f1909,f1482]) ).

fof(f1482,plain,
    ( spl107_25
  <=> cC38(iV16457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_25])]) ).

fof(f1909,plain,
    cC38(iV16457),
    inference(subsumption_resolution,[],[f1903,f959]) ).

fof(f959,plain,
    cC36xcomp(iV16457),
    inference(cnf_transformation,[],[f202]) ).

fof(f202,axiom,
    cC36xcomp(iV16457),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_201) ).

fof(f1903,plain,
    ( ~ cC36xcomp(iV16457)
    | cC38(iV16457) ),
    inference(resolution,[],[f1353,f949]) ).

fof(f949,plain,
    cTOP(iV16457),
    inference(cnf_transformation,[],[f198]) ).

fof(f198,axiom,
    cTOP(iV16457),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_197) ).

fof(f1686,plain,
    spl107_48,
    inference(avatar_split_clause,[],[f1685,f1574]) ).

fof(f1574,plain,
    ( spl107_48
  <=> cC38(iV16465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_48])]) ).

fof(f1685,plain,
    cC38(iV16465),
    inference(resolution,[],[f1046,f1009]) ).

fof(f1009,plain,
    rR1(iV16464,iV16465),
    inference(cnf_transformation,[],[f275]) ).

fof(f275,axiom,
    rR1(iV16464,iV16465),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_274) ).

fof(f1046,plain,
    ! [X0] :
      ( ~ rR1(iV16464,X0)
      | cC38(X0) ),
    inference(cnf_transformation,[],[f378]) ).

fof(f378,plain,
    ! [X0] :
      ( cC38(X0)
      | ~ rR1(iV16464,X0) ),
    inference(ennf_transformation,[],[f266]) ).

fof(f266,axiom,
    ! [X0] :
      ( rR1(iV16464,X0)
     => cC38(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_265) ).

fof(f1683,plain,
    spl107_38,
    inference(avatar_split_clause,[],[f1682,f1534]) ).

fof(f1534,plain,
    ( spl107_38
  <=> cC38(iV16462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_38])]) ).

fof(f1682,plain,
    cC38(iV16462),
    inference(resolution,[],[f1045,f1008]) ).

fof(f1008,plain,
    rR1(iV16461,iV16462),
    inference(cnf_transformation,[],[f244]) ).

fof(f244,axiom,
    rR1(iV16461,iV16462),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_243) ).

fof(f1045,plain,
    ! [X0] :
      ( ~ rR1(iV16461,X0)
      | cC38(X0) ),
    inference(cnf_transformation,[],[f377]) ).

fof(f377,plain,
    ! [X0] :
      ( cC38(X0)
      | ~ rR1(iV16461,X0) ),
    inference(ennf_transformation,[],[f242]) ).

fof(f242,axiom,
    ! [X0] :
      ( rR1(iV16461,X0)
     => cC38(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_241) ).

fof(f1677,plain,
    spl107_32,
    inference(avatar_split_clause,[],[f1676,f1510]) ).

fof(f1510,plain,
    ( spl107_32
  <=> cC38(iV16460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_32])]) ).

fof(f1676,plain,
    cC38(iV16460),
    inference(resolution,[],[f1041,f1007]) ).

fof(f1041,plain,
    ! [X0] :
      ( ~ rR1(iV16455,X0)
      | cC38(X0) ),
    inference(cnf_transformation,[],[f373]) ).

fof(f373,plain,
    ! [X0] :
      ( cC38(X0)
      | ~ rR1(iV16455,X0) ),
    inference(ennf_transformation,[],[f189]) ).

fof(f189,axiom,
    ! [X0] :
      ( rR1(iV16455,X0)
     => cC38(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_188) ).

fof(f1673,plain,
    ( spl107_45
    | ~ spl107_46 ),
    inference(avatar_split_clause,[],[f1671,f1566,f1562]) ).

fof(f1562,plain,
    ( spl107_45
  <=> cC42(iV16464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_45])]) ).

fof(f1566,plain,
    ( spl107_46
  <=> cC44(iV16464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_46])]) ).

fof(f1671,plain,
    ( cC42(iV16464)
    | ~ spl107_46 ),
    inference(resolution,[],[f1567,f1281]) ).

fof(f1281,plain,
    ! [X0] :
      ( ~ cC44(X0)
      | cC42(X0) ),
    inference(cnf_transformation,[],[f754]) ).

fof(f1567,plain,
    ( cC44(iV16464)
    | ~ spl107_46 ),
    inference(avatar_component_clause,[],[f1566]) ).

fof(f1670,plain,
    ( spl107_46
    | ~ spl107_44 ),
    inference(avatar_split_clause,[],[f1668,f1558,f1566]) ).

fof(f1558,plain,
    ( spl107_44
  <=> cC56(iV16464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_44])]) ).

fof(f1668,plain,
    ( cC44(iV16464)
    | ~ spl107_44 ),
    inference(resolution,[],[f1559,f1340]) ).

fof(f1340,plain,
    ! [X0] :
      ( ~ cC56(X0)
      | cC44(X0) ),
    inference(cnf_transformation,[],[f850]) ).

fof(f1559,plain,
    ( cC56(iV16464)
    | ~ spl107_44 ),
    inference(avatar_component_clause,[],[f1558]) ).

fof(f1667,plain,
    spl107_44,
    inference(avatar_split_clause,[],[f1666,f1558]) ).

fof(f1666,plain,
    cC56(iV16464),
    inference(resolution,[],[f1026,f1006]) ).

fof(f1006,plain,
    rR1(iV16463,iV16464),
    inference(cnf_transformation,[],[f264]) ).

fof(f264,axiom,
    rR1(iV16463,iV16464),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_263) ).

fof(f1026,plain,
    ! [X0] :
      ( ~ rR1(iV16463,X0)
      | cC56(X0) ),
    inference(cnf_transformation,[],[f358]) ).

fof(f358,plain,
    ! [X0] :
      ( cC56(X0)
      | ~ rR1(iV16463,X0) ),
    inference(ennf_transformation,[],[f262]) ).

fof(f262,axiom,
    ! [X0] :
      ( rR1(iV16463,X0)
     => cC56(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_261) ).

fof(f1643,plain,
    ( spl107_34
    | ~ spl107_36 ),
    inference(avatar_split_clause,[],[f1641,f1526,f1518]) ).

fof(f1518,plain,
    ( spl107_34
  <=> cC42(iV16461) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_34])]) ).

fof(f1526,plain,
    ( spl107_36
  <=> cC44(iV16461) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_36])]) ).

fof(f1641,plain,
    ( cC42(iV16461)
    | ~ spl107_36 ),
    inference(resolution,[],[f1527,f1281]) ).

fof(f1527,plain,
    ( cC44(iV16461)
    | ~ spl107_36 ),
    inference(avatar_component_clause,[],[f1526]) ).

fof(f1640,plain,
    ( spl107_36
    | ~ spl107_35 ),
    inference(avatar_split_clause,[],[f1638,f1522,f1526]) ).

fof(f1522,plain,
    ( spl107_35
  <=> cC56(iV16461) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_35])]) ).

fof(f1638,plain,
    ( cC44(iV16461)
    | ~ spl107_35 ),
    inference(resolution,[],[f1523,f1340]) ).

fof(f1523,plain,
    ( cC56(iV16461)
    | ~ spl107_35 ),
    inference(avatar_component_clause,[],[f1522]) ).

fof(f1637,plain,
    spl107_35,
    inference(avatar_split_clause,[],[f1636,f1522]) ).

fof(f1636,plain,
    cC56(iV16461),
    inference(resolution,[],[f1015,f1005]) ).

fof(f1015,plain,
    ! [X0] :
      ( ~ rR1(iV16453,X0)
      | cC56(X0) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f347,plain,
    ! [X0] :
      ( cC56(X0)
      | ~ rR1(iV16453,X0) ),
    inference(ennf_transformation,[],[f179]) ).

fof(f179,axiom,
    ! [X0] :
      ( rR1(iV16453,X0)
     => cC56(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_178) ).

fof(f1635,plain,
    ( spl107_12
    | ~ spl107_13 ),
    inference(avatar_split_clause,[],[f1634,f1434,f1430]) ).

fof(f1430,plain,
    ( spl107_12
  <=> cC80(iV16440) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_12])]) ).

fof(f1434,plain,
    ( spl107_13
  <=> cC82(iV16440) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_13])]) ).

fof(f1634,plain,
    ( cC80(iV16440)
    | ~ spl107_13 ),
    inference(resolution,[],[f1435,f1256]) ).

fof(f1256,plain,
    ! [X0] :
      ( ~ cC82(X0)
      | cC80(X0) ),
    inference(cnf_transformation,[],[f728]) ).

fof(f728,plain,
    ! [X0] :
      ( ( cC82(X0)
        | ~ cC78xcomp(X0)
        | ~ cC80(X0) )
      & ( ( cC78xcomp(X0)
          & cC80(X0) )
        | ~ cC82(X0) ) ),
    inference(flattening,[],[f727]) ).

fof(f727,plain,
    ! [X0] :
      ( ( cC82(X0)
        | ~ cC78xcomp(X0)
        | ~ cC80(X0) )
      & ( ( cC78xcomp(X0)
          & cC80(X0) )
        | ~ cC82(X0) ) ),
    inference(nnf_transformation,[],[f121]) ).

fof(f121,axiom,
    ! [X0] :
      ( cC82(X0)
    <=> ( cC78xcomp(X0)
        & cC80(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_120) ).

fof(f1435,plain,
    ( cC82(iV16440)
    | ~ spl107_13 ),
    inference(avatar_component_clause,[],[f1434]) ).

fof(f1632,plain,
    ( spl107_13
    | ~ spl107_11 ),
    inference(avatar_split_clause,[],[f1630,f1426,f1434]) ).

fof(f1426,plain,
    ( spl107_11
  <=> cC98(iV16440) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_11])]) ).

fof(f1630,plain,
    ( cC82(iV16440)
    | ~ spl107_11 ),
    inference(resolution,[],[f1427,f1324]) ).

fof(f1324,plain,
    ! [X0] :
      ( ~ cC98(X0)
      | cC82(X0) ),
    inference(cnf_transformation,[],[f826]) ).

fof(f826,plain,
    ! [X0] :
      ( ( cC98(X0)
        | ~ cC82(X0)
        | ~ cC96xcomp(X0) )
      & ( ( cC82(X0)
          & cC96xcomp(X0) )
        | ~ cC98(X0) ) ),
    inference(flattening,[],[f825]) ).

fof(f825,plain,
    ! [X0] :
      ( ( cC98(X0)
        | ~ cC82(X0)
        | ~ cC96xcomp(X0) )
      & ( ( cC82(X0)
          & cC96xcomp(X0) )
        | ~ cC98(X0) ) ),
    inference(nnf_transformation,[],[f144]) ).

fof(f144,axiom,
    ! [X0] :
      ( cC98(X0)
    <=> ( cC82(X0)
        & cC96xcomp(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_143) ).

fof(f1427,plain,
    ( cC98(iV16440)
    | ~ spl107_11 ),
    inference(avatar_component_clause,[],[f1426]) ).

fof(f1629,plain,
    spl107_11,
    inference(avatar_split_clause,[],[f1626,f1426]) ).

fof(f1626,plain,
    cC98(iV16440),
    inference(resolution,[],[f1014,f1004]) ).

fof(f1004,plain,
    rR1(iV16439,iV16440),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,axiom,
    rR1(iV16439,iV16440),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_150) ).

fof(f1014,plain,
    ! [X0] :
      ( ~ rR1(iV16439,X0)
      | cC98(X0) ),
    inference(cnf_transformation,[],[f346]) ).

fof(f346,plain,
    ! [X0] :
      ( cC98(X0)
      | ~ rR1(iV16439,X0) ),
    inference(ennf_transformation,[],[f147]) ).

fof(f147,axiom,
    ! [X0] :
      ( rR1(iV16439,X0)
     => cC98(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_146) ).

fof(f1622,plain,
    ( spl107_43
    | ~ spl107_41 ),
    inference(avatar_split_clause,[],[f1621,f1546,f1554]) ).

fof(f1554,plain,
    ( spl107_43
  <=> cC60(iV16463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_43])]) ).

fof(f1546,plain,
    ( spl107_41
  <=> cC62(iV16463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_41])]) ).

fof(f1621,plain,
    ( cC60(iV16463)
    | ~ spl107_41 ),
    inference(resolution,[],[f1547,f1274]) ).

fof(f1274,plain,
    ! [X0] :
      ( ~ cC62(X0)
      | cC60(X0) ),
    inference(cnf_transformation,[],[f748]) ).

fof(f1547,plain,
    ( cC62(iV16463)
    | ~ spl107_41 ),
    inference(avatar_component_clause,[],[f1546]) ).

fof(f1619,plain,
    ( spl107_41
    | ~ spl107_40 ),
    inference(avatar_split_clause,[],[f1617,f1542,f1546]) ).

fof(f1542,plain,
    ( spl107_40
  <=> cC76(iV16463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_40])]) ).

fof(f1617,plain,
    ( cC62(iV16463)
    | ~ spl107_40 ),
    inference(resolution,[],[f1543,f1329]) ).

fof(f1329,plain,
    ! [X0] :
      ( ~ cC76(X0)
      | cC62(X0) ),
    inference(cnf_transformation,[],[f832]) ).

fof(f1543,plain,
    ( cC76(iV16463)
    | ~ spl107_40 ),
    inference(avatar_component_clause,[],[f1542]) ).

fof(f1616,plain,
    spl107_40,
    inference(avatar_split_clause,[],[f1615,f1542]) ).

fof(f1615,plain,
    cC76(iV16463),
    inference(resolution,[],[f1012,f1000]) ).

fof(f1000,plain,
    rR1(iV16440,iV16463),
    inference(cnf_transformation,[],[f160]) ).

fof(f160,axiom,
    rR1(iV16440,iV16463),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_159) ).

fof(f1012,plain,
    ! [X0] :
      ( ~ rR1(iV16440,X0)
      | cC76(X0) ),
    inference(cnf_transformation,[],[f344]) ).

fof(f344,plain,
    ! [X0] :
      ( cC76(X0)
      | ~ rR1(iV16440,X0) ),
    inference(ennf_transformation,[],[f157]) ).

fof(f157,axiom,
    ! [X0] :
      ( rR1(iV16440,X0)
     => cC76(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_156) ).

fof(f1614,plain,
    spl107_5,
    inference(avatar_split_clause,[],[f1613,f1402]) ).

fof(f1402,plain,
    ( spl107_5
  <=> cC130(iV16439) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_5])]) ).

fof(f1613,plain,
    cC130(iV16439),
    inference(resolution,[],[f1287,f911]) ).

fof(f911,plain,
    cTEST(iV16439),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,axiom,
    cTEST(iV16439),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_149) ).

fof(f1287,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC130(X0) ),
    inference(cnf_transformation,[],[f413]) ).

fof(f413,plain,
    ! [X0] :
      ( ( cC130(X0)
        & cC108(X0) )
      | ~ cTEST(X0) ),
    inference(ennf_transformation,[],[f333]) ).

fof(f333,plain,
    ! [X0] :
      ( cTEST(X0)
     => ( cC130(X0)
        & cC108(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f146]) ).

fof(f146,axiom,
    ! [X0] :
      ( cTEST(X0)
    <=> ( cC130(X0)
        & cC108(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_145) ).

fof(f1612,plain,
    ( ~ spl107_6
    | spl107_9 ),
    inference(avatar_contradiction_clause,[],[f1611]) ).

fof(f1611,plain,
    ( $false
    | ~ spl107_6
    | spl107_9 ),
    inference(subsumption_resolution,[],[f1610,f1407]) ).

fof(f1407,plain,
    ( cC108(iV16439)
    | ~ spl107_6 ),
    inference(avatar_component_clause,[],[f1406]) ).

fof(f1406,plain,
    ( spl107_6
  <=> cC108(iV16439) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_6])]) ).

fof(f1610,plain,
    ( ~ cC108(iV16439)
    | spl107_9 ),
    inference(resolution,[],[f1420,f1253]) ).

fof(f1253,plain,
    ! [X0] :
      ( cC28(X0)
      | ~ cC108(X0) ),
    inference(cnf_transformation,[],[f726]) ).

fof(f726,plain,
    ! [X0] :
      ( ( cC108(X0)
        | ~ cC106(X0)
        | ~ cC28(X0) )
      & ( ( cC106(X0)
          & cC28(X0) )
        | ~ cC108(X0) ) ),
    inference(flattening,[],[f725]) ).

fof(f725,plain,
    ! [X0] :
      ( ( cC108(X0)
        | ~ cC106(X0)
        | ~ cC28(X0) )
      & ( ( cC106(X0)
          & cC28(X0) )
        | ~ cC108(X0) ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( cC108(X0)
    <=> ( cC106(X0)
        & cC28(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

fof(f1420,plain,
    ( ~ cC28(iV16439)
    | spl107_9 ),
    inference(avatar_component_clause,[],[f1418]) ).

fof(f1418,plain,
    ( spl107_9
  <=> cC28(iV16439) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_9])]) ).

fof(f1609,plain,
    ( spl107_7
    | ~ spl107_8 ),
    inference(avatar_split_clause,[],[f1606,f1414,f1410]) ).

fof(f1410,plain,
    ( spl107_7
  <=> cC104(iV16439) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_7])]) ).

fof(f1414,plain,
    ( spl107_8
  <=> cC106(iV16439) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_8])]) ).

fof(f1606,plain,
    ( cC104(iV16439)
    | ~ spl107_8 ),
    inference(resolution,[],[f1415,f1259]) ).

fof(f1259,plain,
    ! [X0] :
      ( ~ cC106(X0)
      | cC104(X0) ),
    inference(cnf_transformation,[],[f730]) ).

fof(f730,plain,
    ! [X0] :
      ( ( cC106(X0)
        | ~ cC100xcomp(X0)
        | ~ cC104(X0) )
      & ( ( cC100xcomp(X0)
          & cC104(X0) )
        | ~ cC106(X0) ) ),
    inference(flattening,[],[f729]) ).

fof(f729,plain,
    ! [X0] :
      ( ( cC106(X0)
        | ~ cC100xcomp(X0)
        | ~ cC104(X0) )
      & ( ( cC100xcomp(X0)
          & cC104(X0) )
        | ~ cC106(X0) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( cC106(X0)
    <=> ( cC100xcomp(X0)
        & cC104(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).

fof(f1415,plain,
    ( cC106(iV16439)
    | ~ spl107_8 ),
    inference(avatar_component_clause,[],[f1414]) ).

fof(f1604,plain,
    ( spl107_8
    | ~ spl107_6 ),
    inference(avatar_split_clause,[],[f1603,f1406,f1414]) ).

fof(f1603,plain,
    ( cC106(iV16439)
    | ~ spl107_6 ),
    inference(resolution,[],[f1407,f1254]) ).

fof(f1254,plain,
    ! [X0] :
      ( ~ cC108(X0)
      | cC106(X0) ),
    inference(cnf_transformation,[],[f726]) ).

fof(f1602,plain,
    spl107_6,
    inference(avatar_split_clause,[],[f1599,f1406]) ).

fof(f1599,plain,
    cC108(iV16439),
    inference(resolution,[],[f1286,f911]) ).

fof(f1286,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC108(X0) ),
    inference(cnf_transformation,[],[f413]) ).

fof(f1597,plain,
    spl107_1,
    inference(avatar_contradiction_clause,[],[f1596]) ).

fof(f1596,plain,
    ( $false
    | spl107_1 ),
    inference(resolution,[],[f1010,f1388]) ).

fof(f1388,plain,
    ( ~ cowlThing(sK1)
    | spl107_1 ),
    inference(avatar_component_clause,[],[f1386]) ).

fof(f1386,plain,
    ( spl107_1
  <=> cowlThing(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_1])]) ).

fof(f1010,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1595,plain,
    spl107_31,
    inference(avatar_split_clause,[],[f999,f1506]) ).

fof(f1506,plain,
    ( spl107_31
  <=> cowlThing(iV16459) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_31])]) ).

fof(f999,plain,
    cowlThing(iV16459),
    inference(cnf_transformation,[],[f206]) ).

fof(f206,axiom,
    cowlThing(iV16459),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_205) ).

fof(f1594,plain,
    spl107_47,
    inference(avatar_split_clause,[],[f998,f1570]) ).

fof(f1570,plain,
    ( spl107_47
  <=> cowlThing(iV16464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_47])]) ).

fof(f998,plain,
    cowlThing(iV16464),
    inference(cnf_transformation,[],[f265]) ).

fof(f265,axiom,
    cowlThing(iV16464),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_264) ).

fof(f1593,plain,
    spl107_37,
    inference(avatar_split_clause,[],[f997,f1530]) ).

fof(f1530,plain,
    ( spl107_37
  <=> cowlThing(iV16461) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_37])]) ).

fof(f997,plain,
    cowlThing(iV16461),
    inference(cnf_transformation,[],[f234]) ).

fof(f234,axiom,
    cowlThing(iV16461),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_233) ).

fof(f1592,plain,
    spl107_24,
    inference(avatar_split_clause,[],[f996,f1478]) ).

fof(f1478,plain,
    ( spl107_24
  <=> cowlThing(iV16455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_24])]) ).

fof(f996,plain,
    cowlThing(iV16455),
    inference(cnf_transformation,[],[f185]) ).

fof(f185,axiom,
    cowlThing(iV16455),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_184) ).

fof(f1591,plain,
    spl107_49,
    inference(avatar_split_clause,[],[f995,f1578]) ).

fof(f1578,plain,
    ( spl107_49
  <=> cowlThing(iV16465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_49])]) ).

fof(f995,plain,
    cowlThing(iV16465),
    inference(cnf_transformation,[],[f277]) ).

fof(f277,axiom,
    cowlThing(iV16465),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_276) ).

fof(f1590,plain,
    spl107_39,
    inference(avatar_split_clause,[],[f994,f1538]) ).

fof(f1538,plain,
    ( spl107_39
  <=> cowlThing(iV16462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_39])]) ).

fof(f994,plain,
    cowlThing(iV16462),
    inference(cnf_transformation,[],[f247]) ).

fof(f247,axiom,
    cowlThing(iV16462),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_246) ).

fof(f1589,plain,
    spl107_42,
    inference(avatar_split_clause,[],[f993,f1550]) ).

fof(f1550,plain,
    ( spl107_42
  <=> cowlThing(iV16463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_42])]) ).

fof(f993,plain,
    cowlThing(iV16463),
    inference(cnf_transformation,[],[f257]) ).

fof(f257,axiom,
    cowlThing(iV16463),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_256) ).

fof(f1588,plain,
    spl107_33,
    inference(avatar_split_clause,[],[f992,f1514]) ).

fof(f1514,plain,
    ( spl107_33
  <=> cowlThing(iV16460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_33])]) ).

fof(f992,plain,
    cowlThing(iV16460),
    inference(cnf_transformation,[],[f224]) ).

fof(f224,axiom,
    cowlThing(iV16460),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_223) ).

fof(f1587,plain,
    spl107_19,
    inference(avatar_split_clause,[],[f991,f1458]) ).

fof(f1458,plain,
    ( spl107_19
  <=> cowlThing(iV16453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_19])]) ).

fof(f991,plain,
    cowlThing(iV16453),
    inference(cnf_transformation,[],[f176]) ).

fof(f176,axiom,
    cowlThing(iV16453),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_175) ).

fof(f1586,plain,
    spl107_26,
    inference(avatar_split_clause,[],[f990,f1486]) ).

fof(f1486,plain,
    ( spl107_26
  <=> cowlThing(iV16457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_26])]) ).

fof(f990,plain,
    cowlThing(iV16457),
    inference(cnf_transformation,[],[f196]) ).

fof(f196,axiom,
    cowlThing(iV16457),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_195) ).

fof(f1585,plain,
    spl107_10,
    inference(avatar_split_clause,[],[f989,f1422]) ).

fof(f1422,plain,
    ( spl107_10
  <=> cowlThing(iV16439) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_10])]) ).

fof(f989,plain,
    cowlThing(iV16439),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,axiom,
    cowlThing(iV16439),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_147) ).

fof(f1584,plain,
    spl107_16,
    inference(avatar_split_clause,[],[f988,f1446]) ).

fof(f1446,plain,
    ( spl107_16
  <=> cowlThing(iV16448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_16])]) ).

fof(f988,plain,
    cowlThing(iV16448),
    inference(cnf_transformation,[],[f163]) ).

fof(f163,axiom,
    cowlThing(iV16448),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_162) ).

fof(f1583,plain,
    spl107_14,
    inference(avatar_split_clause,[],[f987,f1438]) ).

fof(f1438,plain,
    ( spl107_14
  <=> cowlThing(iV16440) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_14])]) ).

fof(f987,plain,
    cowlThing(iV16440),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,axiom,
    cowlThing(iV16440),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_153) ).

fof(f1582,plain,
    ( ~ spl107_1
    | spl107_2
    | spl107_3
    | ~ spl107_4
    | ~ spl107_5
    | ~ spl107_6
    | ~ spl107_7
    | ~ spl107_8
    | ~ spl107_9
    | ~ spl107_10
    | ~ spl107_11
    | ~ spl107_12
    | ~ spl107_13
    | ~ spl107_14
    | ~ spl107_15
    | ~ spl107_16
    | ~ spl107_17
    | ~ spl107_18
    | ~ spl107_19
    | ~ spl107_20
    | ~ spl107_21
    | ~ spl107_22
    | ~ spl107_23
    | ~ spl107_24
    | ~ spl107_25
    | ~ spl107_26
    | ~ spl107_27
    | ~ spl107_28
    | ~ spl107_29
    | ~ spl107_30
    | ~ spl107_31
    | ~ spl107_32
    | ~ spl107_33
    | ~ spl107_34
    | ~ spl107_35
    | ~ spl107_36
    | ~ spl107_37
    | ~ spl107_38
    | ~ spl107_39
    | ~ spl107_40
    | ~ spl107_41
    | ~ spl107_42
    | ~ spl107_43
    | ~ spl107_44
    | ~ spl107_45
    | ~ spl107_46
    | ~ spl107_47
    | ~ spl107_48
    | ~ spl107_49 ),
    inference(avatar_split_clause,[],[f909,f1578,f1574,f1570,f1566,f1562,f1558,f1554,f1550,f1546,f1542,f1538,f1534,f1530,f1526,f1522,f1518,f1514,f1510,f1506,f1502,f1498,f1494,f1490,f1486,f1482,f1478,f1474,f1470,f1466,f1462,f1458,f1454,f1450,f1446,f1442,f1438,f1434,f1430,f1426,f1422,f1418,f1414,f1410,f1406,f1402,f1398,f1394,f1390,f1386]) ).

fof(f909,plain,
    ( ~ cowlThing(iV16465)
    | ~ cC38(iV16465)
    | ~ cowlThing(iV16464)
    | ~ cC44(iV16464)
    | ~ cC42(iV16464)
    | ~ cC56(iV16464)
    | ~ cC60(iV16463)
    | ~ cowlThing(iV16463)
    | ~ cC62(iV16463)
    | ~ cC76(iV16463)
    | ~ cowlThing(iV16462)
    | ~ cC38(iV16462)
    | ~ cowlThing(iV16461)
    | ~ cC44(iV16461)
    | ~ cC56(iV16461)
    | ~ cC42(iV16461)
    | ~ cowlThing(iV16460)
    | ~ cC38(iV16460)
    | ~ cowlThing(iV16459)
    | ~ cC68(iV16459)
    | ~ cC34(iV16459)
    | ~ cC88(iV16459)
    | ~ cC50(iV16459)
    | ~ cowlThing(iV16457)
    | ~ cC38(iV16457)
    | ~ cowlThing(iV16455)
    | ~ cC42(iV16455)
    | ~ cC44(iV16455)
    | ~ cC56(iV16455)
    | ~ cC60(iV16453)
    | ~ cowlThing(iV16453)
    | ~ cC62(iV16453)
    | ~ cC76(iV16453)
    | ~ cowlThing(iV16448)
    | ~ cC38(iV16448)
    | ~ cowlThing(iV16440)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC98(iV16440)
    | ~ cowlThing(iV16439)
    | ~ cC28(iV16439)
    | ~ cC106(iV16439)
    | ~ cC104(iV16439)
    | ~ cC108(iV16439)
    | ~ cC130(iV16439)
    | ~ xsd_integer(sK0)
    | xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(cnf_transformation,[],[f435]) ).

fof(f435,plain,
    ( ~ cowlThing(iV16465)
    | ~ cC38(iV16465)
    | ~ cowlThing(iV16464)
    | ~ cC44(iV16464)
    | ~ cC42(iV16464)
    | ~ cC56(iV16464)
    | ~ cC60(iV16463)
    | ~ cowlThing(iV16463)
    | ~ cC62(iV16463)
    | ~ cC76(iV16463)
    | ~ cowlThing(iV16462)
    | ~ cC38(iV16462)
    | ~ cowlThing(iV16461)
    | ~ cC44(iV16461)
    | ~ cC56(iV16461)
    | ~ cC42(iV16461)
    | ~ cowlThing(iV16460)
    | ~ cC38(iV16460)
    | ~ cowlThing(iV16459)
    | ~ cC68(iV16459)
    | ~ cC34(iV16459)
    | ~ cC88(iV16459)
    | ~ cC50(iV16459)
    | ~ cowlThing(iV16457)
    | ~ cC38(iV16457)
    | ~ cowlThing(iV16455)
    | ~ cC42(iV16455)
    | ~ cC44(iV16455)
    | ~ cC56(iV16455)
    | ~ cC60(iV16453)
    | ~ cowlThing(iV16453)
    | ~ cC62(iV16453)
    | ~ cC76(iV16453)
    | ~ cowlThing(iV16448)
    | ~ cC38(iV16448)
    | ~ cowlThing(iV16440)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC98(iV16440)
    | ~ cowlThing(iV16439)
    | ~ cC28(iV16439)
    | ~ cC106(iV16439)
    | ~ cC104(iV16439)
    | ~ cC108(iV16439)
    | ~ cC130(iV16439)
    | ( ( 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])],[f432,f434,f433]) ).

fof(f433,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(f434,plain,
    ( ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) )
   => ( cowlNothing(sK1)
      | ~ cowlThing(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f432,plain,
    ( ~ cowlThing(iV16465)
    | ~ cC38(iV16465)
    | ~ cowlThing(iV16464)
    | ~ cC44(iV16464)
    | ~ cC42(iV16464)
    | ~ cC56(iV16464)
    | ~ cC60(iV16463)
    | ~ cowlThing(iV16463)
    | ~ cC62(iV16463)
    | ~ cC76(iV16463)
    | ~ cowlThing(iV16462)
    | ~ cC38(iV16462)
    | ~ cowlThing(iV16461)
    | ~ cC44(iV16461)
    | ~ cC56(iV16461)
    | ~ cC42(iV16461)
    | ~ cowlThing(iV16460)
    | ~ cC38(iV16460)
    | ~ cowlThing(iV16459)
    | ~ cC68(iV16459)
    | ~ cC34(iV16459)
    | ~ cC88(iV16459)
    | ~ cC50(iV16459)
    | ~ cowlThing(iV16457)
    | ~ cC38(iV16457)
    | ~ cowlThing(iV16455)
    | ~ cC42(iV16455)
    | ~ cC44(iV16455)
    | ~ cC56(iV16455)
    | ~ cC60(iV16453)
    | ~ cowlThing(iV16453)
    | ~ cC62(iV16453)
    | ~ cC76(iV16453)
    | ~ cowlThing(iV16448)
    | ~ cC38(iV16448)
    | ~ cowlThing(iV16440)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC98(iV16440)
    | ~ cowlThing(iV16439)
    | ~ cC28(iV16439)
    | ~ cC106(iV16439)
    | ~ cC104(iV16439)
    | ~ cC108(iV16439)
    | ~ cC130(iV16439)
    | ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(nnf_transformation,[],[f343]) ).

fof(f343,plain,
    ( ~ cowlThing(iV16465)
    | ~ cC38(iV16465)
    | ~ cowlThing(iV16464)
    | ~ cC44(iV16464)
    | ~ cC42(iV16464)
    | ~ cC56(iV16464)
    | ~ cC60(iV16463)
    | ~ cowlThing(iV16463)
    | ~ cC62(iV16463)
    | ~ cC76(iV16463)
    | ~ cowlThing(iV16462)
    | ~ cC38(iV16462)
    | ~ cowlThing(iV16461)
    | ~ cC44(iV16461)
    | ~ cC56(iV16461)
    | ~ cC42(iV16461)
    | ~ cowlThing(iV16460)
    | ~ cC38(iV16460)
    | ~ cowlThing(iV16459)
    | ~ cC68(iV16459)
    | ~ cC34(iV16459)
    | ~ cC88(iV16459)
    | ~ cC50(iV16459)
    | ~ cowlThing(iV16457)
    | ~ cC38(iV16457)
    | ~ cowlThing(iV16455)
    | ~ cC42(iV16455)
    | ~ cC44(iV16455)
    | ~ cC56(iV16455)
    | ~ cC60(iV16453)
    | ~ cowlThing(iV16453)
    | ~ cC62(iV16453)
    | ~ cC76(iV16453)
    | ~ cowlThing(iV16448)
    | ~ cC38(iV16448)
    | ~ cowlThing(iV16440)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC98(iV16440)
    | ~ cowlThing(iV16439)
    | ~ cC28(iV16439)
    | ~ cC106(iV16439)
    | ~ cC104(iV16439)
    | ~ cC108(iV16439)
    | ~ cC130(iV16439)
    | ? [X0] :
        ( xsd_string(X0)
      <~> ~ xsd_integer(X0) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(ennf_transformation,[],[f289]) ).

fof(f289,plain,
    ~ ( cowlThing(iV16465)
      & cC38(iV16465)
      & cowlThing(iV16464)
      & cC44(iV16464)
      & cC42(iV16464)
      & cC56(iV16464)
      & cC60(iV16463)
      & cowlThing(iV16463)
      & cC62(iV16463)
      & cC76(iV16463)
      & cowlThing(iV16462)
      & cC38(iV16462)
      & cowlThing(iV16461)
      & cC44(iV16461)
      & cC56(iV16461)
      & cC42(iV16461)
      & cowlThing(iV16460)
      & cC38(iV16460)
      & cowlThing(iV16459)
      & cC68(iV16459)
      & cC34(iV16459)
      & cC88(iV16459)
      & cC50(iV16459)
      & cowlThing(iV16457)
      & cC38(iV16457)
      & cowlThing(iV16455)
      & cC42(iV16455)
      & cC44(iV16455)
      & cC56(iV16455)
      & cC60(iV16453)
      & cowlThing(iV16453)
      & cC62(iV16453)
      & cC76(iV16453)
      & cowlThing(iV16448)
      & cC38(iV16448)
      & cowlThing(iV16440)
      & cC82(iV16440)
      & cC80(iV16440)
      & cC98(iV16440)
      & cowlThing(iV16439)
      & cC28(iV16439)
      & cC106(iV16439)
      & cC104(iV16439)
      & cC108(iV16439)
      & cC130(iV16439)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X1] :
          ( ~ cowlNothing(X1)
          & cowlThing(X1) ) ),
    inference(rectify,[],[f288]) ).

fof(f288,negated_conjecture,
    ~ ( cowlThing(iV16465)
      & cC38(iV16465)
      & cowlThing(iV16464)
      & cC44(iV16464)
      & cC42(iV16464)
      & cC56(iV16464)
      & cC60(iV16463)
      & cowlThing(iV16463)
      & cC62(iV16463)
      & cC76(iV16463)
      & cowlThing(iV16462)
      & cC38(iV16462)
      & cowlThing(iV16461)
      & cC44(iV16461)
      & cC56(iV16461)
      & cC42(iV16461)
      & cowlThing(iV16460)
      & cC38(iV16460)
      & cowlThing(iV16459)
      & cC68(iV16459)
      & cC34(iV16459)
      & cC88(iV16459)
      & cC50(iV16459)
      & cowlThing(iV16457)
      & cC38(iV16457)
      & cowlThing(iV16455)
      & cC42(iV16455)
      & cC44(iV16455)
      & cC56(iV16455)
      & cC60(iV16453)
      & cowlThing(iV16453)
      & cC62(iV16453)
      & cC76(iV16453)
      & cowlThing(iV16448)
      & cC38(iV16448)
      & cowlThing(iV16440)
      & cC82(iV16440)
      & cC80(iV16440)
      & cC98(iV16440)
      & cowlThing(iV16439)
      & cC28(iV16439)
      & cC106(iV16439)
      & cC104(iV16439)
      & cC108(iV16439)
      & cC130(iV16439)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negated_conjecture,[],[f287]) ).

fof(f287,conjecture,
    ( cowlThing(iV16465)
    & cC38(iV16465)
    & cowlThing(iV16464)
    & cC44(iV16464)
    & cC42(iV16464)
    & cC56(iV16464)
    & cC60(iV16463)
    & cowlThing(iV16463)
    & cC62(iV16463)
    & cC76(iV16463)
    & cowlThing(iV16462)
    & cC38(iV16462)
    & cowlThing(iV16461)
    & cC44(iV16461)
    & cC56(iV16461)
    & cC42(iV16461)
    & cowlThing(iV16460)
    & cC38(iV16460)
    & cowlThing(iV16459)
    & cC68(iV16459)
    & cC34(iV16459)
    & cC88(iV16459)
    & cC50(iV16459)
    & cowlThing(iV16457)
    & cC38(iV16457)
    & cowlThing(iV16455)
    & cC42(iV16455)
    & cC44(iV16455)
    & cC56(iV16455)
    & cC60(iV16453)
    & cowlThing(iV16453)
    & cC62(iV16453)
    & cC76(iV16453)
    & cowlThing(iV16448)
    & cC38(iV16448)
    & cowlThing(iV16440)
    & cC82(iV16440)
    & cC80(iV16440)
    & cC98(iV16440)
    & cowlThing(iV16439)
    & cC28(iV16439)
    & cC106(iV16439)
    & cC104(iV16439)
    & cC108(iV16439)
    & cC130(iV16439)
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f1581,plain,
    ( ~ spl107_1
    | spl107_2
    | ~ spl107_3
    | spl107_4
    | ~ spl107_5
    | ~ spl107_6
    | ~ spl107_7
    | ~ spl107_8
    | ~ spl107_9
    | ~ spl107_10
    | ~ spl107_11
    | ~ spl107_12
    | ~ spl107_13
    | ~ spl107_14
    | ~ spl107_15
    | ~ spl107_16
    | ~ spl107_17
    | ~ spl107_18
    | ~ spl107_19
    | ~ spl107_20
    | ~ spl107_21
    | ~ spl107_22
    | ~ spl107_23
    | ~ spl107_24
    | ~ spl107_25
    | ~ spl107_26
    | ~ spl107_27
    | ~ spl107_28
    | ~ spl107_29
    | ~ spl107_30
    | ~ spl107_31
    | ~ spl107_32
    | ~ spl107_33
    | ~ spl107_34
    | ~ spl107_35
    | ~ spl107_36
    | ~ spl107_37
    | ~ spl107_38
    | ~ spl107_39
    | ~ spl107_40
    | ~ spl107_41
    | ~ spl107_42
    | ~ spl107_43
    | ~ spl107_44
    | ~ spl107_45
    | ~ spl107_46
    | ~ spl107_47
    | ~ spl107_48
    | ~ spl107_49 ),
    inference(avatar_split_clause,[],[f910,f1578,f1574,f1570,f1566,f1562,f1558,f1554,f1550,f1546,f1542,f1538,f1534,f1530,f1526,f1522,f1518,f1514,f1510,f1506,f1502,f1498,f1494,f1490,f1486,f1482,f1478,f1474,f1470,f1466,f1462,f1458,f1454,f1450,f1446,f1442,f1438,f1434,f1430,f1426,f1422,f1418,f1414,f1410,f1406,f1402,f1398,f1394,f1390,f1386]) ).

fof(f910,plain,
    ( ~ cowlThing(iV16465)
    | ~ cC38(iV16465)
    | ~ cowlThing(iV16464)
    | ~ cC44(iV16464)
    | ~ cC42(iV16464)
    | ~ cC56(iV16464)
    | ~ cC60(iV16463)
    | ~ cowlThing(iV16463)
    | ~ cC62(iV16463)
    | ~ cC76(iV16463)
    | ~ cowlThing(iV16462)
    | ~ cC38(iV16462)
    | ~ cowlThing(iV16461)
    | ~ cC44(iV16461)
    | ~ cC56(iV16461)
    | ~ cC42(iV16461)
    | ~ cowlThing(iV16460)
    | ~ cC38(iV16460)
    | ~ cowlThing(iV16459)
    | ~ cC68(iV16459)
    | ~ cC34(iV16459)
    | ~ cC88(iV16459)
    | ~ cC50(iV16459)
    | ~ cowlThing(iV16457)
    | ~ cC38(iV16457)
    | ~ cowlThing(iV16455)
    | ~ cC42(iV16455)
    | ~ cC44(iV16455)
    | ~ cC56(iV16455)
    | ~ cC60(iV16453)
    | ~ cowlThing(iV16453)
    | ~ cC62(iV16453)
    | ~ cC76(iV16453)
    | ~ cowlThing(iV16448)
    | ~ cC38(iV16448)
    | ~ cowlThing(iV16440)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC98(iV16440)
    | ~ cowlThing(iV16439)
    | ~ cC28(iV16439)
    | ~ cC106(iV16439)
    | ~ cC104(iV16439)
    | ~ cC108(iV16439)
    | ~ cC130(iV16439)
    | xsd_integer(sK0)
    | ~ xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(cnf_transformation,[],[f435]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : KRS161+1 : TPTP v8.2.0. Released v3.1.0.
% 0.07/0.16  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.38  % Computer : n007.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Sat May 18 22:23:08 EDT 2024
% 0.16/0.38  % CPUTime    : 
% 0.16/0.38  % (1905)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.41  % (1909)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.24/0.41  % (1908)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)
% 0.24/0.41  % (1910)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.24/0.41  % (1906)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.24/0.41  % (1911)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.24/0.41  % (1912)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)
% 0.24/0.41  % (1907)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.24/0.43  TRYING [1]
% 0.24/0.43  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]
% 0.24/0.43  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]
% 0.24/0.43  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]
% 0.24/0.43  TRYING [1]
% 0.24/0.43  TRYING [2]
% 0.24/0.43  % (1911)First to succeed.
% 0.24/0.43  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]
% 0.24/0.43  TRYING [2]
% 0.24/0.44  % (1911)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1905"
% 0.24/0.44  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]
% 0.24/0.44  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]
% 0.24/0.44  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]
% 0.24/0.44  % (1911)Refutation found. Thanks to Tanya!
% 0.24/0.44  % SZS status Theorem for theBenchmark
% 0.24/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.44  % (1911)------------------------------
% 0.24/0.44  % (1911)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.24/0.44  % (1911)Termination reason: Refutation
% 0.24/0.44  
% 0.24/0.44  % (1911)Memory used [KB]: 1717
% 0.24/0.44  % (1911)Time elapsed: 0.025 s
% 0.24/0.44  % (1911)Instructions burned: 42 (million)
% 0.24/0.44  % (1905)Success in time 0.039 s
%------------------------------------------------------------------------------