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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS161+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n012.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 07:18:03 EDT 2024

% Result   : Theorem 0.58s 0.77s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :  108
% Syntax   : Number of formulae    :  377 ( 104 unt;   0 def)
%            Number of atoms       : 1314 (   0 equ)
%            Maximal formula atoms :   51 (   3 avg)
%            Number of connectives : 1545 ( 608   ~; 622   |; 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   :  138 ( 124   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2175,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1579,f1580,f1581,f1582,f1583,f1585,f1589,f1591,f1596,f1599,f1604,f1607,f1612,f1614,f1617,f1620,f1623,f1626,f1629,f1631,f1634,f1637,f1639,f1642,f1645,f1658,f1667,f1669,f1681,f1694,f1713,f2105,f2110,f2112,f2118,f2125,f2129,f2135,f2137,f2148,f2150,f2152,f2154,f2156,f2158,f2160,f2162,f2166,f2169,f2171,f2174]) ).

fof(f2174,plain,
    ( ~ spl107_3
    | ~ spl107_4 ),
    inference(avatar_contradiction_clause,[],[f2173]) ).

fof(f2173,plain,
    ( $false
    | ~ spl107_3
    | ~ spl107_4 ),
    inference(subsumption_resolution,[],[f2172,f1393]) ).

fof(f1393,plain,
    ( xsd_string(sK0)
    | ~ spl107_3 ),
    inference(avatar_component_clause,[],[f1392]) ).

fof(f1392,plain,
    ( spl107_3
  <=> xsd_string(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_3])]) ).

fof(f2172,plain,
    ( ~ xsd_string(sK0)
    | ~ spl107_4 ),
    inference(resolution,[],[f1398,f923]) ).

fof(f923,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/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_1) ).

fof(f1398,plain,
    ( xsd_integer(sK0)
    | ~ spl107_4 ),
    inference(avatar_component_clause,[],[f1396]) ).

fof(f1396,plain,
    ( spl107_4
  <=> xsd_integer(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_4])]) ).

fof(f2171,plain,
    ~ spl107_2,
    inference(avatar_contradiction_clause,[],[f2170]) ).

fof(f2170,plain,
    ( $false
    | ~ spl107_2 ),
    inference(subsumption_resolution,[],[f1390,f922]) ).

fof(f922,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_0) ).

fof(f1390,plain,
    ( cowlNothing(sK1)
    | ~ spl107_2 ),
    inference(avatar_component_clause,[],[f1388]) ).

fof(f1388,plain,
    ( spl107_2
  <=> cowlNothing(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_2])]) ).

fof(f2169,plain,
    ( spl107_3
    | spl107_4 ),
    inference(avatar_contradiction_clause,[],[f2168]) ).

fof(f2168,plain,
    ( $false
    | spl107_3
    | spl107_4 ),
    inference(subsumption_resolution,[],[f2167,f1397]) ).

fof(f1397,plain,
    ( ~ xsd_integer(sK0)
    | spl107_4 ),
    inference(avatar_component_clause,[],[f1396]) ).

fof(f2167,plain,
    ( xsd_integer(sK0)
    | spl107_3 ),
    inference(resolution,[],[f1394,f924]) ).

fof(f924,plain,
    ! [X0] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(cnf_transformation,[],[f436]) ).

fof(f1394,plain,
    ( ~ xsd_string(sK0)
    | spl107_3 ),
    inference(avatar_component_clause,[],[f1392]) ).

fof(f2166,plain,
    spl107_5,
    inference(avatar_contradiction_clause,[],[f2165]) ).

fof(f2165,plain,
    ( $false
    | spl107_5 ),
    inference(subsumption_resolution,[],[f2164,f914]) ).

fof(f914,plain,
    cTEST(iV16439),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,axiom,
    cTEST(iV16439),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_149) ).

fof(f2164,plain,
    ( ~ cTEST(iV16439)
    | spl107_5 ),
    inference(resolution,[],[f1402,f950]) ).

fof(f950,plain,
    ! [X0] :
      ( cC130(X0)
      | ~ cTEST(X0) ),
    inference(cnf_transformation,[],[f345]) ).

fof(f345,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/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_145) ).

fof(f1402,plain,
    ( ~ cC130(iV16439)
    | spl107_5 ),
    inference(avatar_component_clause,[],[f1400]) ).

fof(f1400,plain,
    ( spl107_5
  <=> cC130(iV16439) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_5])]) ).

fof(f2162,plain,
    spl107_49,
    inference(avatar_contradiction_clause,[],[f2161]) ).

fof(f2161,plain,
    ( $false
    | spl107_49 ),
    inference(subsumption_resolution,[],[f1578,f921]) ).

fof(f921,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1578,plain,
    ( ~ cowlThing(iV16465)
    | spl107_49 ),
    inference(avatar_component_clause,[],[f1576]) ).

fof(f1576,plain,
    ( spl107_49
  <=> cowlThing(iV16465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_49])]) ).

fof(f2160,plain,
    spl107_47,
    inference(avatar_contradiction_clause,[],[f2159]) ).

fof(f2159,plain,
    ( $false
    | spl107_47 ),
    inference(subsumption_resolution,[],[f1570,f921]) ).

fof(f1570,plain,
    ( ~ cowlThing(iV16464)
    | spl107_47 ),
    inference(avatar_component_clause,[],[f1568]) ).

fof(f1568,plain,
    ( spl107_47
  <=> cowlThing(iV16464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_47])]) ).

fof(f2158,plain,
    spl107_42,
    inference(avatar_contradiction_clause,[],[f2157]) ).

fof(f2157,plain,
    ( $false
    | spl107_42 ),
    inference(subsumption_resolution,[],[f1550,f921]) ).

fof(f1550,plain,
    ( ~ cowlThing(iV16463)
    | spl107_42 ),
    inference(avatar_component_clause,[],[f1548]) ).

fof(f1548,plain,
    ( spl107_42
  <=> cowlThing(iV16463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_42])]) ).

fof(f2156,plain,
    spl107_39,
    inference(avatar_contradiction_clause,[],[f2155]) ).

fof(f2155,plain,
    ( $false
    | spl107_39 ),
    inference(subsumption_resolution,[],[f1538,f921]) ).

fof(f1538,plain,
    ( ~ cowlThing(iV16462)
    | spl107_39 ),
    inference(avatar_component_clause,[],[f1536]) ).

fof(f1536,plain,
    ( spl107_39
  <=> cowlThing(iV16462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_39])]) ).

fof(f2154,plain,
    spl107_37,
    inference(avatar_contradiction_clause,[],[f2153]) ).

fof(f2153,plain,
    ( $false
    | spl107_37 ),
    inference(subsumption_resolution,[],[f1530,f921]) ).

fof(f1530,plain,
    ( ~ cowlThing(iV16461)
    | spl107_37 ),
    inference(avatar_component_clause,[],[f1528]) ).

fof(f1528,plain,
    ( spl107_37
  <=> cowlThing(iV16461) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_37])]) ).

fof(f2152,plain,
    spl107_33,
    inference(avatar_contradiction_clause,[],[f2151]) ).

fof(f2151,plain,
    ( $false
    | spl107_33 ),
    inference(subsumption_resolution,[],[f1514,f921]) ).

fof(f1514,plain,
    ( ~ cowlThing(iV16460)
    | spl107_33 ),
    inference(avatar_component_clause,[],[f1512]) ).

fof(f1512,plain,
    ( spl107_33
  <=> cowlThing(iV16460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_33])]) ).

fof(f2150,plain,
    spl107_26,
    inference(avatar_contradiction_clause,[],[f2149]) ).

fof(f2149,plain,
    ( $false
    | spl107_26 ),
    inference(subsumption_resolution,[],[f1486,f921]) ).

fof(f1486,plain,
    ( ~ cowlThing(iV16457)
    | spl107_26 ),
    inference(avatar_component_clause,[],[f1484]) ).

fof(f1484,plain,
    ( spl107_26
  <=> cowlThing(iV16457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_26])]) ).

fof(f2148,plain,
    spl107_25,
    inference(avatar_contradiction_clause,[],[f2147]) ).

fof(f2147,plain,
    ( $false
    | spl107_25 ),
    inference(subsumption_resolution,[],[f2146,f1077]) ).

fof(f1077,plain,
    cTOP(iV16457),
    inference(cnf_transformation,[],[f198]) ).

fof(f198,axiom,
    cTOP(iV16457),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_197) ).

fof(f2146,plain,
    ( ~ cTOP(iV16457)
    | spl107_25 ),
    inference(subsumption_resolution,[],[f2145,f1070]) ).

fof(f1070,plain,
    cC36xcomp(iV16457),
    inference(cnf_transformation,[],[f202]) ).

fof(f202,axiom,
    cC36xcomp(iV16457),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_201) ).

fof(f2145,plain,
    ( ~ cC36xcomp(iV16457)
    | ~ cTOP(iV16457)
    | spl107_25 ),
    inference(resolution,[],[f1482,f974]) ).

fof(f974,plain,
    ! [X0] :
      ( cC38(X0)
      | ~ cC36xcomp(X0)
      | ~ cTOP(X0) ),
    inference(cnf_transformation,[],[f464]) ).

fof(f464,plain,
    ! [X0] :
      ( ( cC38(X0)
        | ~ cC36xcomp(X0)
        | ~ cTOP(X0) )
      & ( ( cC36xcomp(X0)
          & cTOP(X0) )
        | ~ cC38(X0) ) ),
    inference(flattening,[],[f463]) ).

fof(f463,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/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_57) ).

fof(f1482,plain,
    ( ~ cC38(iV16457)
    | spl107_25 ),
    inference(avatar_component_clause,[],[f1480]) ).

fof(f1480,plain,
    ( spl107_25
  <=> cC38(iV16457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_25])]) ).

fof(f2137,plain,
    spl107_24,
    inference(avatar_contradiction_clause,[],[f2136]) ).

fof(f2136,plain,
    ( $false
    | spl107_24 ),
    inference(subsumption_resolution,[],[f1478,f921]) ).

fof(f1478,plain,
    ( ~ cowlThing(iV16455)
    | spl107_24 ),
    inference(avatar_component_clause,[],[f1476]) ).

fof(f1476,plain,
    ( spl107_24
  <=> cowlThing(iV16455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_24])]) ).

fof(f2135,plain,
    spl107_23,
    inference(avatar_contradiction_clause,[],[f2134]) ).

fof(f2134,plain,
    ( $false
    | spl107_23 ),
    inference(subsumption_resolution,[],[f2132,f1086]) ).

fof(f1086,plain,
    cC8xcomp(iV16460),
    inference(cnf_transformation,[],[f228]) ).

fof(f228,axiom,
    cC8xcomp(iV16460),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_227) ).

fof(f2132,plain,
    ( ~ cC8xcomp(iV16460)
    | spl107_23 ),
    inference(resolution,[],[f2131,f932]) ).

fof(f932,plain,
    rR1(iV16455,iV16460),
    inference(cnf_transformation,[],[f194]) ).

fof(f194,axiom,
    rR1(iV16455,iV16460),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_193) ).

fof(f2131,plain,
    ( ! [X0] :
        ( ~ rR1(iV16455,X0)
        | ~ cC8xcomp(X0) )
    | spl107_23 ),
    inference(resolution,[],[f1474,f980]) ).

fof(f980,plain,
    ! [X0,X1] :
      ( cC42(X0)
      | ~ cC8xcomp(X1)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f470]) ).

fof(f470,plain,
    ! [X0] :
      ( ( cC42(X0)
        | ! [X1] :
            ( ~ cC8xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ( cC8xcomp(sK7(X0))
          & rR1(X0,sK7(X0)) )
        | ~ cC42(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f468,f469]) ).

fof(f469,plain,
    ! [X0] :
      ( ? [X2] :
          ( cC8xcomp(X2)
          & rR1(X0,X2) )
     => ( cC8xcomp(sK7(X0))
        & rR1(X0,sK7(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f468,plain,
    ! [X0] :
      ( ( cC42(X0)
        | ! [X1] :
            ( ~ cC8xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X2] :
            ( cC8xcomp(X2)
            & rR1(X0,X2) )
        | ~ cC42(X0) ) ),
    inference(rectify,[],[f467]) ).

fof(f467,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/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_65) ).

fof(f1474,plain,
    ( ~ cC42(iV16455)
    | spl107_23 ),
    inference(avatar_component_clause,[],[f1472]) ).

fof(f1472,plain,
    ( spl107_23
  <=> cC42(iV16455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_23])]) ).

fof(f2129,plain,
    ( ~ spl107_23
    | spl107_22 ),
    inference(avatar_split_clause,[],[f2128,f1468,f1472]) ).

fof(f1468,plain,
    ( spl107_22
  <=> cC44(iV16455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_22])]) ).

fof(f2128,plain,
    ( ~ cC42(iV16455)
    | spl107_22 ),
    inference(subsumption_resolution,[],[f2127,f1081]) ).

fof(f1081,plain,
    cC40xcomp(iV16455),
    inference(cnf_transformation,[],[f186]) ).

fof(f186,axiom,
    cC40xcomp(iV16455),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_185) ).

fof(f2127,plain,
    ( ~ cC42(iV16455)
    | ~ cC40xcomp(iV16455)
    | spl107_22 ),
    inference(resolution,[],[f1470,f977]) ).

fof(f977,plain,
    ! [X0] :
      ( cC44(X0)
      | ~ cC42(X0)
      | ~ cC40xcomp(X0) ),
    inference(cnf_transformation,[],[f466]) ).

fof(f466,plain,
    ! [X0] :
      ( ( cC44(X0)
        | ~ cC42(X0)
        | ~ cC40xcomp(X0) )
      & ( ( cC42(X0)
          & cC40xcomp(X0) )
        | ~ cC44(X0) ) ),
    inference(flattening,[],[f465]) ).

fof(f465,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/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_66) ).

fof(f1470,plain,
    ( ~ cC44(iV16455)
    | spl107_22 ),
    inference(avatar_component_clause,[],[f1468]) ).

fof(f2125,plain,
    ( ~ spl107_22
    | spl107_21 ),
    inference(avatar_split_clause,[],[f2124,f1464,f1468]) ).

fof(f1464,plain,
    ( spl107_21
  <=> cC56(iV16455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_21])]) ).

fof(f2124,plain,
    ( ~ cC44(iV16455)
    | spl107_21 ),
    inference(subsumption_resolution,[],[f2123,f1091]) ).

fof(f1091,plain,
    cC54xcomp(iV16455),
    inference(cnf_transformation,[],[f191]) ).

fof(f191,axiom,
    cC54xcomp(iV16455),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_190) ).

fof(f2123,plain,
    ( ~ cC44(iV16455)
    | ~ cC54xcomp(iV16455)
    | spl107_21 ),
    inference(resolution,[],[f1466,f983]) ).

fof(f983,plain,
    ! [X0] :
      ( cC56(X0)
      | ~ cC44(X0)
      | ~ cC54xcomp(X0) ),
    inference(cnf_transformation,[],[f472]) ).

fof(f472,plain,
    ! [X0] :
      ( ( cC56(X0)
        | ~ cC44(X0)
        | ~ cC54xcomp(X0) )
      & ( ( cC44(X0)
          & cC54xcomp(X0) )
        | ~ cC56(X0) ) ),
    inference(flattening,[],[f471]) ).

fof(f471,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/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_82) ).

fof(f1466,plain,
    ( ~ cC56(iV16455)
    | spl107_21 ),
    inference(avatar_component_clause,[],[f1464]) ).

fof(f2118,plain,
    ( spl107_20
    | ~ spl107_18 ),
    inference(avatar_split_clause,[],[f2115,f1452,f1460]) ).

fof(f1460,plain,
    ( spl107_20
  <=> cC60(iV16453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_20])]) ).

fof(f1452,plain,
    ( spl107_18
  <=> cC62(iV16453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_18])]) ).

fof(f2115,plain,
    ( cC60(iV16453)
    | ~ spl107_18 ),
    inference(resolution,[],[f1453,f998]) ).

fof(f998,plain,
    ! [X0] :
      ( ~ cC62(X0)
      | cC60(X0) ),
    inference(cnf_transformation,[],[f484]) ).

fof(f484,plain,
    ! [X0] :
      ( ( cC62(X0)
        | ~ cC58xcomp(X0)
        | ~ cC60(X0) )
      & ( ( cC58xcomp(X0)
          & cC60(X0) )
        | ~ cC62(X0) ) ),
    inference(flattening,[],[f483]) ).

fof(f483,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/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_92) ).

fof(f1453,plain,
    ( cC62(iV16453)
    | ~ spl107_18 ),
    inference(avatar_component_clause,[],[f1452]) ).

fof(f2112,plain,
    spl107_19,
    inference(avatar_contradiction_clause,[],[f2111]) ).

fof(f2111,plain,
    ( $false
    | spl107_19 ),
    inference(subsumption_resolution,[],[f1458,f921]) ).

fof(f1458,plain,
    ( ~ cowlThing(iV16453)
    | spl107_19 ),
    inference(avatar_component_clause,[],[f1456]) ).

fof(f1456,plain,
    ( spl107_19
  <=> cowlThing(iV16453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_19])]) ).

fof(f2110,plain,
    ( spl107_18
    | ~ spl107_17 ),
    inference(avatar_split_clause,[],[f2106,f1448,f1452]) ).

fof(f1448,plain,
    ( spl107_17
  <=> cC76(iV16453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_17])]) ).

fof(f2106,plain,
    ( cC62(iV16453)
    | ~ spl107_17 ),
    inference(resolution,[],[f1449,f1005]) ).

fof(f1005,plain,
    ! [X0] :
      ( ~ cC76(X0)
      | cC62(X0) ),
    inference(cnf_transformation,[],[f490]) ).

fof(f490,plain,
    ! [X0] :
      ( ( cC76(X0)
        | ~ cC62(X0)
        | ~ cC74xcomp(X0) )
      & ( ( cC62(X0)
          & cC74xcomp(X0) )
        | ~ cC76(X0) ) ),
    inference(flattening,[],[f489]) ).

fof(f489,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/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_112) ).

fof(f1449,plain,
    ( cC76(iV16453)
    | ~ spl107_17 ),
    inference(avatar_component_clause,[],[f1448]) ).

fof(f2105,plain,
    spl107_17,
    inference(avatar_contradiction_clause,[],[f2104]) ).

fof(f2104,plain,
    ( $false
    | spl107_17 ),
    inference(subsumption_resolution,[],[f2102,f1109]) ).

fof(f1109,plain,
    cC12xcomp(iV16461),
    inference(cnf_transformation,[],[f238]) ).

fof(f238,axiom,
    cC12xcomp(iV16461),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_237) ).

fof(f2102,plain,
    ( ~ cC12xcomp(iV16461)
    | spl107_17 ),
    inference(resolution,[],[f2101,f928]) ).

fof(f928,plain,
    rR1(iV16453,iV16461),
    inference(cnf_transformation,[],[f183]) ).

fof(f183,axiom,
    rR1(iV16453,iV16461),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_182) ).

fof(f2101,plain,
    ( ! [X0] :
        ( ~ rR1(iV16453,X0)
        | ~ cC12xcomp(X0) )
    | spl107_17 ),
    inference(subsumption_resolution,[],[f2100,f1123]) ).

fof(f1123,plain,
    cC74xcomp(iV16453),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,axiom,
    cC74xcomp(iV16453),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_174) ).

fof(f2100,plain,
    ( ! [X0] :
        ( ~ cC12xcomp(X0)
        | ~ rR1(iV16453,X0)
        | ~ cC74xcomp(iV16453) )
    | spl107_17 ),
    inference(subsumption_resolution,[],[f2099,f1105]) ).

fof(f1105,plain,
    cC58xcomp(iV16453),
    inference(cnf_transformation,[],[f182]) ).

fof(f182,axiom,
    cC58xcomp(iV16453),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_181) ).

fof(f2099,plain,
    ( ! [X0] :
        ( ~ cC58xcomp(iV16453)
        | ~ cC12xcomp(X0)
        | ~ rR1(iV16453,X0)
        | ~ cC74xcomp(iV16453) )
    | spl107_17 ),
    inference(resolution,[],[f1975,f1450]) ).

fof(f1450,plain,
    ( ~ cC76(iV16453)
    | spl107_17 ),
    inference(avatar_component_clause,[],[f1448]) ).

fof(f1975,plain,
    ! [X0,X1] :
      ( cC76(X0)
      | ~ cC58xcomp(X0)
      | ~ cC12xcomp(X1)
      | ~ rR1(X0,X1)
      | ~ cC74xcomp(X0) ),
    inference(resolution,[],[f1845,f1006]) ).

fof(f1006,plain,
    ! [X0] :
      ( ~ cC62(X0)
      | cC76(X0)
      | ~ cC74xcomp(X0) ),
    inference(cnf_transformation,[],[f490]) ).

fof(f1845,plain,
    ! [X0,X1] :
      ( cC62(X1)
      | ~ rR1(X1,X0)
      | ~ cC58xcomp(X1)
      | ~ cC12xcomp(X0) ),
    inference(resolution,[],[f1003,f1000]) ).

fof(f1000,plain,
    ! [X0] :
      ( ~ cC60(X0)
      | ~ cC58xcomp(X0)
      | cC62(X0) ),
    inference(cnf_transformation,[],[f484]) ).

fof(f1003,plain,
    ! [X0,X1] :
      ( cC60(X0)
      | ~ cC12xcomp(X1)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f488]) ).

fof(f488,plain,
    ! [X0] :
      ( ( cC60(X0)
        | ! [X1] :
            ( ~ cC12xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ( cC12xcomp(sK10(X0))
          & rR1(X0,sK10(X0)) )
        | ~ cC60(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f486,f487]) ).

fof(f487,plain,
    ! [X0] :
      ( ? [X2] :
          ( cC12xcomp(X2)
          & rR1(X0,X2) )
     => ( cC12xcomp(sK10(X0))
        & rR1(X0,sK10(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f486,plain,
    ! [X0] :
      ( ( cC60(X0)
        | ! [X1] :
            ( ~ cC12xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X2] :
            ( cC12xcomp(X2)
            & rR1(X0,X2) )
        | ~ cC60(X0) ) ),
    inference(rectify,[],[f485]) ).

fof(f485,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/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_91) ).

fof(f1713,plain,
    spl107_28,
    inference(avatar_split_clause,[],[f1712,f1492]) ).

fof(f1492,plain,
    ( spl107_28
  <=> cC88(iV16459) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_28])]) ).

fof(f1712,plain,
    cC88(iV16459),
    inference(subsumption_resolution,[],[f1711,f1146]) ).

fof(f1146,plain,
    cC84xcomp(iV16459),
    inference(cnf_transformation,[],[f211]) ).

fof(f211,axiom,
    cC84xcomp(iV16459),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_210) ).

fof(f1711,plain,
    ( cC88(iV16459)
    | ~ cC84xcomp(iV16459) ),
    inference(resolution,[],[f1036,f1149]) ).

fof(f1149,plain,
    cC86xcomp(iV16459),
    inference(cnf_transformation,[],[f216]) ).

fof(f216,axiom,
    cC86xcomp(iV16459),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_215) ).

fof(f1036,plain,
    ! [X0] :
      ( ~ cC86xcomp(X0)
      | cC88(X0)
      | ~ cC84xcomp(X0) ),
    inference(cnf_transformation,[],[f510]) ).

fof(f510,plain,
    ! [X0] :
      ( ( cC88(X0)
        | ~ cC86xcomp(X0)
        | ~ cC84xcomp(X0) )
      & ( ( cC86xcomp(X0)
          & cC84xcomp(X0) )
        | ~ cC88(X0) ) ),
    inference(flattening,[],[f509]) ).

fof(f509,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/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_128) ).

fof(f1694,plain,
    spl107_30,
    inference(avatar_split_clause,[],[f1693,f1500]) ).

fof(f1500,plain,
    ( spl107_30
  <=> cC68(iV16459) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_30])]) ).

fof(f1693,plain,
    cC68(iV16459),
    inference(subsumption_resolution,[],[f1692,f1126]) ).

fof(f1126,plain,
    cC64xcomp(iV16459),
    inference(cnf_transformation,[],[f214]) ).

fof(f214,axiom,
    cC64xcomp(iV16459),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_213) ).

fof(f1692,plain,
    ( cC68(iV16459)
    | ~ cC64xcomp(iV16459) ),
    inference(resolution,[],[f1014,f1129]) ).

fof(f1129,plain,
    cC66xcomp(iV16459),
    inference(cnf_transformation,[],[f222]) ).

fof(f222,axiom,
    cC66xcomp(iV16459),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_221) ).

fof(f1014,plain,
    ! [X0] :
      ( ~ cC66xcomp(X0)
      | cC68(X0)
      | ~ cC64xcomp(X0) ),
    inference(cnf_transformation,[],[f492]) ).

fof(f492,plain,
    ! [X0] :
      ( ( cC68(X0)
        | ~ cC66xcomp(X0)
        | ~ cC64xcomp(X0) )
      & ( ( cC66xcomp(X0)
          & cC64xcomp(X0) )
        | ~ cC68(X0) ) ),
    inference(flattening,[],[f491]) ).

fof(f491,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/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_100) ).

fof(f1681,plain,
    spl107_27,
    inference(avatar_split_clause,[],[f1680,f1488]) ).

fof(f1488,plain,
    ( spl107_27
  <=> cC50(iV16459) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_27])]) ).

fof(f1680,plain,
    cC50(iV16459),
    inference(subsumption_resolution,[],[f1679,f1096]) ).

fof(f1096,plain,
    cC46xcomp(iV16459),
    inference(cnf_transformation,[],[f213]) ).

fof(f213,axiom,
    cC46xcomp(iV16459),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_212) ).

fof(f1679,plain,
    ( cC50(iV16459)
    | ~ cC46xcomp(iV16459) ),
    inference(resolution,[],[f993,f1099]) ).

fof(f1099,plain,
    cC48xcomp(iV16459),
    inference(cnf_transformation,[],[f218]) ).

fof(f218,axiom,
    cC48xcomp(iV16459),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_217) ).

fof(f993,plain,
    ! [X0] :
      ( ~ cC48xcomp(X0)
      | cC50(X0)
      | ~ cC46xcomp(X0) ),
    inference(cnf_transformation,[],[f478]) ).

fof(f478,plain,
    ! [X0] :
      ( ( cC50(X0)
        | ~ cC48xcomp(X0)
        | ~ cC46xcomp(X0) )
      & ( ( cC48xcomp(X0)
          & cC46xcomp(X0) )
        | ~ cC50(X0) ) ),
    inference(flattening,[],[f477]) ).

fof(f477,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/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_73) ).

fof(f1669,plain,
    spl107_16,
    inference(avatar_contradiction_clause,[],[f1668]) ).

fof(f1668,plain,
    ( $false
    | spl107_16 ),
    inference(subsumption_resolution,[],[f1446,f921]) ).

fof(f1446,plain,
    ( ~ cowlThing(iV16448)
    | spl107_16 ),
    inference(avatar_component_clause,[],[f1444]) ).

fof(f1444,plain,
    ( spl107_16
  <=> cowlThing(iV16448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_16])]) ).

fof(f1667,plain,
    spl107_15,
    inference(avatar_contradiction_clause,[],[f1666]) ).

fof(f1666,plain,
    ( $false
    | spl107_15 ),
    inference(subsumption_resolution,[],[f1665,f1078]) ).

fof(f1078,plain,
    cTOP(iV16448),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,axiom,
    cTOP(iV16448),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_163) ).

fof(f1665,plain,
    ( ~ cTOP(iV16448)
    | spl107_15 ),
    inference(subsumption_resolution,[],[f1664,f1071]) ).

fof(f1071,plain,
    cC36xcomp(iV16448),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,axiom,
    cC36xcomp(iV16448),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_168) ).

fof(f1664,plain,
    ( ~ cC36xcomp(iV16448)
    | ~ cTOP(iV16448)
    | spl107_15 ),
    inference(resolution,[],[f974,f1442]) ).

fof(f1442,plain,
    ( ~ cC38(iV16448)
    | spl107_15 ),
    inference(avatar_component_clause,[],[f1440]) ).

fof(f1440,plain,
    ( spl107_15
  <=> cC38(iV16448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_15])]) ).

fof(f1658,plain,
    spl107_29,
    inference(avatar_split_clause,[],[f1657,f1496]) ).

fof(f1496,plain,
    ( spl107_29
  <=> cC34(iV16459) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_29])]) ).

fof(f1657,plain,
    cC34(iV16459),
    inference(subsumption_resolution,[],[f1656,f1057]) ).

fof(f1057,plain,
    cC30xcomp(iV16459),
    inference(cnf_transformation,[],[f210]) ).

fof(f210,axiom,
    cC30xcomp(iV16459),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_209) ).

fof(f1656,plain,
    ( cC34(iV16459)
    | ~ cC30xcomp(iV16459) ),
    inference(resolution,[],[f964,f1060]) ).

fof(f1060,plain,
    cC32xcomp(iV16459),
    inference(cnf_transformation,[],[f217]) ).

fof(f217,axiom,
    cC32xcomp(iV16459),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_216) ).

fof(f964,plain,
    ! [X0] :
      ( ~ cC32xcomp(X0)
      | cC34(X0)
      | ~ cC30xcomp(X0) ),
    inference(cnf_transformation,[],[f454]) ).

fof(f454,plain,
    ! [X0] :
      ( ( cC34(X0)
        | ~ cC32xcomp(X0)
        | ~ cC30xcomp(X0) )
      & ( ( cC32xcomp(X0)
          & cC30xcomp(X0) )
        | ~ cC34(X0) ) ),
    inference(flattening,[],[f453]) ).

fof(f453,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/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_52) ).

fof(f1645,plain,
    ( spl107_43
    | ~ spl107_41 ),
    inference(avatar_split_clause,[],[f1644,f1544,f1552]) ).

fof(f1552,plain,
    ( spl107_43
  <=> cC60(iV16463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_43])]) ).

fof(f1544,plain,
    ( spl107_41
  <=> cC62(iV16463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_41])]) ).

fof(f1644,plain,
    ( cC60(iV16463)
    | ~ spl107_41 ),
    inference(resolution,[],[f1545,f998]) ).

fof(f1545,plain,
    ( cC62(iV16463)
    | ~ spl107_41 ),
    inference(avatar_component_clause,[],[f1544]) ).

fof(f1642,plain,
    ( spl107_41
    | ~ spl107_40 ),
    inference(avatar_split_clause,[],[f1640,f1540,f1544]) ).

fof(f1540,plain,
    ( spl107_40
  <=> cC76(iV16463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_40])]) ).

fof(f1640,plain,
    ( cC62(iV16463)
    | ~ spl107_40 ),
    inference(resolution,[],[f1541,f1005]) ).

fof(f1541,plain,
    ( cC76(iV16463)
    | ~ spl107_40 ),
    inference(avatar_component_clause,[],[f1540]) ).

fof(f1639,plain,
    spl107_40,
    inference(avatar_split_clause,[],[f1638,f1540]) ).

fof(f1638,plain,
    cC76(iV16463),
    inference(resolution,[],[f1017,f919]) ).

fof(f919,plain,
    rR1(iV16440,iV16463),
    inference(cnf_transformation,[],[f160]) ).

fof(f160,axiom,
    rR1(iV16440,iV16463),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_159) ).

fof(f1017,plain,
    ! [X0] :
      ( ~ rR1(iV16440,X0)
      | cC76(X0) ),
    inference(cnf_transformation,[],[f366]) ).

fof(f366,plain,
    ! [X0] :
      ( cC76(X0)
      | ~ rR1(iV16440,X0) ),
    inference(ennf_transformation,[],[f157]) ).

fof(f157,axiom,
    ! [X0] :
      ( rR1(iV16440,X0)
     => cC76(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_156) ).

fof(f1637,plain,
    ( spl107_34
    | ~ spl107_36 ),
    inference(avatar_split_clause,[],[f1635,f1524,f1516]) ).

fof(f1516,plain,
    ( spl107_34
  <=> cC42(iV16461) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_34])]) ).

fof(f1524,plain,
    ( spl107_36
  <=> cC44(iV16461) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_36])]) ).

fof(f1635,plain,
    ( cC42(iV16461)
    | ~ spl107_36 ),
    inference(resolution,[],[f1525,f976]) ).

fof(f976,plain,
    ! [X0] :
      ( ~ cC44(X0)
      | cC42(X0) ),
    inference(cnf_transformation,[],[f466]) ).

fof(f1525,plain,
    ( cC44(iV16461)
    | ~ spl107_36 ),
    inference(avatar_component_clause,[],[f1524]) ).

fof(f1634,plain,
    ( spl107_36
    | ~ spl107_35 ),
    inference(avatar_split_clause,[],[f1632,f1520,f1524]) ).

fof(f1520,plain,
    ( spl107_35
  <=> cC56(iV16461) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_35])]) ).

fof(f1632,plain,
    ( cC44(iV16461)
    | ~ spl107_35 ),
    inference(resolution,[],[f1521,f982]) ).

fof(f982,plain,
    ! [X0] :
      ( ~ cC56(X0)
      | cC44(X0) ),
    inference(cnf_transformation,[],[f472]) ).

fof(f1521,plain,
    ( cC56(iV16461)
    | ~ spl107_35 ),
    inference(avatar_component_clause,[],[f1520]) ).

fof(f1631,plain,
    spl107_35,
    inference(avatar_split_clause,[],[f1630,f1520]) ).

fof(f1630,plain,
    cC56(iV16461),
    inference(resolution,[],[f995,f928]) ).

fof(f995,plain,
    ! [X0] :
      ( ~ rR1(iV16453,X0)
      | cC56(X0) ),
    inference(cnf_transformation,[],[f360]) ).

fof(f360,plain,
    ! [X0] :
      ( cC56(X0)
      | ~ rR1(iV16453,X0) ),
    inference(ennf_transformation,[],[f179]) ).

fof(f179,axiom,
    ! [X0] :
      ( rR1(iV16453,X0)
     => cC56(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_178) ).

fof(f1629,plain,
    ( spl107_45
    | ~ spl107_46 ),
    inference(avatar_split_clause,[],[f1627,f1564,f1560]) ).

fof(f1560,plain,
    ( spl107_45
  <=> cC42(iV16464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_45])]) ).

fof(f1564,plain,
    ( spl107_46
  <=> cC44(iV16464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_46])]) ).

fof(f1627,plain,
    ( cC42(iV16464)
    | ~ spl107_46 ),
    inference(resolution,[],[f1565,f976]) ).

fof(f1565,plain,
    ( cC44(iV16464)
    | ~ spl107_46 ),
    inference(avatar_component_clause,[],[f1564]) ).

fof(f1626,plain,
    ( spl107_46
    | ~ spl107_44 ),
    inference(avatar_split_clause,[],[f1624,f1556,f1564]) ).

fof(f1556,plain,
    ( spl107_44
  <=> cC56(iV16464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_44])]) ).

fof(f1624,plain,
    ( cC44(iV16464)
    | ~ spl107_44 ),
    inference(resolution,[],[f1557,f982]) ).

fof(f1557,plain,
    ( cC56(iV16464)
    | ~ spl107_44 ),
    inference(avatar_component_clause,[],[f1556]) ).

fof(f1623,plain,
    spl107_44,
    inference(avatar_split_clause,[],[f1622,f1556]) ).

fof(f1622,plain,
    cC56(iV16464),
    inference(resolution,[],[f994,f925]) ).

fof(f925,plain,
    rR1(iV16463,iV16464),
    inference(cnf_transformation,[],[f264]) ).

fof(f264,axiom,
    rR1(iV16463,iV16464),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_263) ).

fof(f994,plain,
    ! [X0] :
      ( ~ rR1(iV16463,X0)
      | cC56(X0) ),
    inference(cnf_transformation,[],[f359]) ).

fof(f359,plain,
    ! [X0] :
      ( cC56(X0)
      | ~ rR1(iV16463,X0) ),
    inference(ennf_transformation,[],[f262]) ).

fof(f262,axiom,
    ! [X0] :
      ( rR1(iV16463,X0)
     => cC56(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_261) ).

fof(f1620,plain,
    spl107_32,
    inference(avatar_split_clause,[],[f1619,f1508]) ).

fof(f1508,plain,
    ( spl107_32
  <=> cC38(iV16460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_32])]) ).

fof(f1619,plain,
    cC38(iV16460),
    inference(resolution,[],[f969,f932]) ).

fof(f969,plain,
    ! [X0] :
      ( ~ rR1(iV16455,X0)
      | cC38(X0) ),
    inference(cnf_transformation,[],[f353]) ).

fof(f353,plain,
    ! [X0] :
      ( cC38(X0)
      | ~ rR1(iV16455,X0) ),
    inference(ennf_transformation,[],[f189]) ).

fof(f189,axiom,
    ! [X0] :
      ( rR1(iV16455,X0)
     => cC38(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_188) ).

fof(f1617,plain,
    spl107_38,
    inference(avatar_split_clause,[],[f1616,f1532]) ).

fof(f1532,plain,
    ( spl107_38
  <=> cC38(iV16462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_38])]) ).

fof(f1616,plain,
    cC38(iV16462),
    inference(resolution,[],[f968,f930]) ).

fof(f930,plain,
    rR1(iV16461,iV16462),
    inference(cnf_transformation,[],[f244]) ).

fof(f244,axiom,
    rR1(iV16461,iV16462),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_243) ).

fof(f968,plain,
    ! [X0] :
      ( ~ rR1(iV16461,X0)
      | cC38(X0) ),
    inference(cnf_transformation,[],[f352]) ).

fof(f352,plain,
    ! [X0] :
      ( cC38(X0)
      | ~ rR1(iV16461,X0) ),
    inference(ennf_transformation,[],[f242]) ).

fof(f242,axiom,
    ! [X0] :
      ( rR1(iV16461,X0)
     => cC38(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_241) ).

fof(f1614,plain,
    spl107_48,
    inference(avatar_split_clause,[],[f1613,f1572]) ).

fof(f1572,plain,
    ( spl107_48
  <=> cC38(iV16465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_48])]) ).

fof(f1613,plain,
    cC38(iV16465),
    inference(resolution,[],[f967,f937]) ).

fof(f937,plain,
    rR1(iV16464,iV16465),
    inference(cnf_transformation,[],[f275]) ).

fof(f275,axiom,
    rR1(iV16464,iV16465),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_274) ).

fof(f967,plain,
    ! [X0] :
      ( ~ rR1(iV16464,X0)
      | cC38(X0) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f351,plain,
    ! [X0] :
      ( cC38(X0)
      | ~ rR1(iV16464,X0) ),
    inference(ennf_transformation,[],[f266]) ).

fof(f266,axiom,
    ! [X0] :
      ( rR1(iV16464,X0)
     => cC38(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_265) ).

fof(f1612,plain,
    ( spl107_12
    | ~ spl107_13 ),
    inference(avatar_split_clause,[],[f1609,f1432,f1428]) ).

fof(f1428,plain,
    ( spl107_12
  <=> cC80(iV16440) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_12])]) ).

fof(f1432,plain,
    ( spl107_13
  <=> cC82(iV16440) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_13])]) ).

fof(f1609,plain,
    ( cC80(iV16440)
    | ~ spl107_13 ),
    inference(resolution,[],[f1433,f1020]) ).

fof(f1020,plain,
    ! [X0] :
      ( ~ cC82(X0)
      | cC80(X0) ),
    inference(cnf_transformation,[],[f502]) ).

fof(f502,plain,
    ! [X0] :
      ( ( cC82(X0)
        | ~ cC78xcomp(X0)
        | ~ cC80(X0) )
      & ( ( cC78xcomp(X0)
          & cC80(X0) )
        | ~ cC82(X0) ) ),
    inference(flattening,[],[f501]) ).

fof(f501,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/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_120) ).

fof(f1433,plain,
    ( cC82(iV16440)
    | ~ spl107_13 ),
    inference(avatar_component_clause,[],[f1432]) ).

fof(f1607,plain,
    ( spl107_13
    | ~ spl107_11 ),
    inference(avatar_split_clause,[],[f1605,f1424,f1432]) ).

fof(f1424,plain,
    ( spl107_11
  <=> cC98(iV16440) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_11])]) ).

fof(f1605,plain,
    ( cC82(iV16440)
    | ~ spl107_11 ),
    inference(resolution,[],[f1425,f1027]) ).

fof(f1027,plain,
    ! [X0] :
      ( ~ cC98(X0)
      | cC82(X0) ),
    inference(cnf_transformation,[],[f508]) ).

fof(f508,plain,
    ! [X0] :
      ( ( cC98(X0)
        | ~ cC82(X0)
        | ~ cC96xcomp(X0) )
      & ( ( cC82(X0)
          & cC96xcomp(X0) )
        | ~ cC98(X0) ) ),
    inference(flattening,[],[f507]) ).

fof(f507,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/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_143) ).

fof(f1425,plain,
    ( cC98(iV16440)
    | ~ spl107_11 ),
    inference(avatar_component_clause,[],[f1424]) ).

fof(f1604,plain,
    spl107_11,
    inference(avatar_contradiction_clause,[],[f1603]) ).

fof(f1603,plain,
    ( $false
    | spl107_11 ),
    inference(subsumption_resolution,[],[f1600,f913]) ).

fof(f913,plain,
    rR1(iV16439,iV16440),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,axiom,
    rR1(iV16439,iV16440),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_150) ).

fof(f1600,plain,
    ( ~ rR1(iV16439,iV16440)
    | spl107_11 ),
    inference(resolution,[],[f917,f1426]) ).

fof(f1426,plain,
    ( ~ cC98(iV16440)
    | spl107_11 ),
    inference(avatar_component_clause,[],[f1424]) ).

fof(f917,plain,
    ! [X0] :
      ( cC98(X0)
      | ~ rR1(iV16439,X0) ),
    inference(cnf_transformation,[],[f344]) ).

fof(f344,plain,
    ! [X0] :
      ( cC98(X0)
      | ~ rR1(iV16439,X0) ),
    inference(ennf_transformation,[],[f147]) ).

fof(f147,axiom,
    ! [X0] :
      ( rR1(iV16439,X0)
     => cC98(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_146) ).

fof(f1599,plain,
    ( ~ spl107_6
    | spl107_9 ),
    inference(avatar_contradiction_clause,[],[f1598]) ).

fof(f1598,plain,
    ( $false
    | ~ spl107_6
    | spl107_9 ),
    inference(subsumption_resolution,[],[f1597,f1405]) ).

fof(f1405,plain,
    ( cC108(iV16439)
    | ~ spl107_6 ),
    inference(avatar_component_clause,[],[f1404]) ).

fof(f1404,plain,
    ( spl107_6
  <=> cC108(iV16439) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_6])]) ).

fof(f1597,plain,
    ( ~ cC108(iV16439)
    | spl107_9 ),
    inference(resolution,[],[f1418,f946]) ).

fof(f946,plain,
    ! [X0] :
      ( cC28(X0)
      | ~ cC108(X0) ),
    inference(cnf_transformation,[],[f444]) ).

fof(f444,plain,
    ! [X0] :
      ( ( cC108(X0)
        | ~ cC106(X0)
        | ~ cC28(X0) )
      & ( ( cC106(X0)
          & cC28(X0) )
        | ~ cC108(X0) ) ),
    inference(flattening,[],[f443]) ).

fof(f443,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/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_12) ).

fof(f1418,plain,
    ( ~ cC28(iV16439)
    | spl107_9 ),
    inference(avatar_component_clause,[],[f1416]) ).

fof(f1416,plain,
    ( spl107_9
  <=> cC28(iV16439) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_9])]) ).

fof(f1596,plain,
    ( spl107_7
    | ~ spl107_8 ),
    inference(avatar_split_clause,[],[f1593,f1412,f1408]) ).

fof(f1408,plain,
    ( spl107_7
  <=> cC104(iV16439) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_7])]) ).

fof(f1412,plain,
    ( spl107_8
  <=> cC106(iV16439) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_8])]) ).

fof(f1593,plain,
    ( cC104(iV16439)
    | ~ spl107_8 ),
    inference(resolution,[],[f1413,f940]) ).

fof(f940,plain,
    ! [X0] :
      ( ~ cC106(X0)
      | cC104(X0) ),
    inference(cnf_transformation,[],[f438]) ).

fof(f438,plain,
    ! [X0] :
      ( ( cC106(X0)
        | ~ cC100xcomp(X0)
        | ~ cC104(X0) )
      & ( ( cC100xcomp(X0)
          & cC104(X0) )
        | ~ cC106(X0) ) ),
    inference(flattening,[],[f437]) ).

fof(f437,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/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_11) ).

fof(f1413,plain,
    ( cC106(iV16439)
    | ~ spl107_8 ),
    inference(avatar_component_clause,[],[f1412]) ).

fof(f1591,plain,
    ( spl107_8
    | ~ spl107_6 ),
    inference(avatar_split_clause,[],[f1590,f1404,f1412]) ).

fof(f1590,plain,
    ( cC106(iV16439)
    | ~ spl107_6 ),
    inference(resolution,[],[f1405,f947]) ).

fof(f947,plain,
    ! [X0] :
      ( ~ cC108(X0)
      | cC106(X0) ),
    inference(cnf_transformation,[],[f444]) ).

fof(f1589,plain,
    spl107_6,
    inference(avatar_split_clause,[],[f1586,f1404]) ).

fof(f1586,plain,
    cC108(iV16439),
    inference(resolution,[],[f949,f914]) ).

fof(f949,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC108(X0) ),
    inference(cnf_transformation,[],[f345]) ).

fof(f1585,plain,
    spl107_1,
    inference(avatar_contradiction_clause,[],[f1584]) ).

fof(f1584,plain,
    ( $false
    | spl107_1 ),
    inference(subsumption_resolution,[],[f1386,f921]) ).

fof(f1386,plain,
    ( ~ cowlThing(sK1)
    | spl107_1 ),
    inference(avatar_component_clause,[],[f1384]) ).

fof(f1384,plain,
    ( spl107_1
  <=> cowlThing(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_1])]) ).

fof(f1583,plain,
    spl107_14,
    inference(avatar_split_clause,[],[f920,f1436]) ).

fof(f1436,plain,
    ( spl107_14
  <=> cowlThing(iV16440) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_14])]) ).

fof(f920,plain,
    cowlThing(iV16440),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,axiom,
    cowlThing(iV16440),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_153) ).

fof(f1582,plain,
    spl107_31,
    inference(avatar_split_clause,[],[f918,f1504]) ).

fof(f1504,plain,
    ( spl107_31
  <=> cowlThing(iV16459) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_31])]) ).

fof(f918,plain,
    cowlThing(iV16459),
    inference(cnf_transformation,[],[f206]) ).

fof(f206,axiom,
    cowlThing(iV16459),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_205) ).

fof(f1581,plain,
    spl107_10,
    inference(avatar_split_clause,[],[f916,f1420]) ).

fof(f1420,plain,
    ( spl107_10
  <=> cowlThing(iV16439) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_10])]) ).

fof(f916,plain,
    cowlThing(iV16439),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,axiom,
    cowlThing(iV16439),
    file('/export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',axiom_147) ).

fof(f1580,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,f1576,f1572,f1568,f1564,f1560,f1556,f1552,f1548,f1544,f1540,f1536,f1532,f1528,f1524,f1520,f1516,f1512,f1508,f1504,f1500,f1496,f1492,f1488,f1484,f1480,f1476,f1472,f1468,f1464,f1460,f1456,f1452,f1448,f1444,f1440,f1436,f1432,f1428,f1424,f1420,f1416,f1412,f1408,f1404,f1400,f1396,f1392,f1388,f1384]) ).

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/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539',the_axiom) ).

fof(f1579,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,f1576,f1572,f1568,f1564,f1560,f1556,f1552,f1548,f1544,f1540,f1536,f1532,f1528,f1524,f1520,f1516,f1512,f1508,f1504,f1500,f1496,f1492,f1488,f1484,f1480,f1476,f1472,f1468,f1464,f1460,f1456,f1452,f1448,f1444,f1440,f1436,f1432,f1428,f1424,f1420,f1416,f1412,f1408,f1404,f1400,f1396,f1392,f1388,f1384]) ).

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
% 0.11/0.13  % Problem    : KRS161+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n012.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 19:51:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_RFO_NEQ problem
% 0.15/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.FOESoYPk6I/Vampire---4.8_13539
% 0.58/0.74  % (13898)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.58/0.75  % (13892)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.75  % (13894)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (13895)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.75  % (13893)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.58/0.75  % (13897)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75  % (13896)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.75  % (13899)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.75  % (13897)Refutation not found, incomplete strategy% (13897)------------------------------
% 0.58/0.75  % (13897)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (13897)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (13897)Memory used [KB]: 1177
% 0.58/0.75  % (13897)Time elapsed: 0.003 s
% 0.58/0.75  % (13897)Instructions burned: 4 (million)
% 0.58/0.75  % (13899)Refutation not found, incomplete strategy% (13899)------------------------------
% 0.58/0.75  % (13899)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (13899)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (13899)Memory used [KB]: 1177
% 0.58/0.75  % (13899)Time elapsed: 0.003 s
% 0.58/0.75  % (13899)Instructions burned: 3 (million)
% 0.58/0.75  % (13897)------------------------------
% 0.58/0.75  % (13897)------------------------------
% 0.58/0.75  % (13899)------------------------------
% 0.58/0.75  % (13899)------------------------------
% 0.58/0.75  % (13895)Refutation not found, incomplete strategy% (13895)------------------------------
% 0.58/0.75  % (13895)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (13895)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (13895)Memory used [KB]: 1190
% 0.58/0.75  % (13895)Time elapsed: 0.005 s
% 0.58/0.75  % (13895)Instructions burned: 5 (million)
% 0.58/0.75  % (13895)------------------------------
% 0.58/0.75  % (13895)------------------------------
% 0.58/0.75  % (13892)Refutation not found, incomplete strategy% (13892)------------------------------
% 0.58/0.75  % (13892)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (13892)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (13892)Memory used [KB]: 1238
% 0.58/0.75  % (13892)Time elapsed: 0.007 s
% 0.58/0.75  % (13892)Instructions burned: 9 (million)
% 0.58/0.75  % (13892)------------------------------
% 0.58/0.75  % (13892)------------------------------
% 0.58/0.75  % (13906)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.58/0.75  % (13907)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.58/0.75  % (13908)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.58/0.76  % (13896)Refutation not found, incomplete strategy% (13896)------------------------------
% 0.58/0.76  % (13896)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (13896)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (13896)Memory used [KB]: 1778
% 0.58/0.76  % (13896)Time elapsed: 0.011 s
% 0.58/0.76  % (13896)Instructions burned: 20 (million)
% 0.58/0.76  % (13896)------------------------------
% 0.58/0.76  % (13896)------------------------------
% 0.58/0.76  % (13908)Refutation not found, incomplete strategy% (13908)------------------------------
% 0.58/0.76  % (13908)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (13908)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (13908)Memory used [KB]: 1229
% 0.58/0.76  % (13908)Time elapsed: 0.006 s
% 0.58/0.76  % (13908)Instructions burned: 6 (million)
% 0.58/0.76  % (13908)------------------------------
% 0.58/0.76  % (13908)------------------------------
% 0.58/0.76  % (13911)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.58/0.76  % (13915)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.58/0.76  % (13916)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.58/0.77  % (13894)First to succeed.
% 0.58/0.77  % (13915)Also succeeded, but the first one will report.
% 0.58/0.77  % (13894)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13794"
% 0.58/0.77  % (13894)Refutation found. Thanks to Tanya!
% 0.58/0.77  % SZS status Theorem for Vampire---4
% 0.58/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.78  % (13894)------------------------------
% 0.58/0.78  % (13894)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (13894)Termination reason: Refutation
% 0.58/0.78  
% 0.58/0.78  % (13894)Memory used [KB]: 1891
% 0.58/0.78  % (13894)Time elapsed: 0.027 s
% 0.58/0.78  % (13894)Instructions burned: 47 (million)
% 0.58/0.78  % (13794)Success in time 0.405 s
% 0.58/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------