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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : KRS159+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:42:25 AM UTC 2026

% Result   : Theorem 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :  117
% Syntax   : Number of formulae    :  533 ( 130 unt;  56 def)
%            Number of atoms       : 1890 (   0 equ)
%            Maximal formula atoms :   56 (   3 avg)
%            Number of connectives : 2282 ( 925   ~; 920   |; 333   &)
%                                         ( 101 <=>;   2  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   56 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :  120 ( 119 usr;  57 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  11 con; 0-1 aty)
%            Number of variables   :  256 (   0 sgn 226   !;  30   ?)

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

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

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

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

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

fof(f18,axiom,
    ! [X0] :
      ( cC114(X0)
    <=> cTOP(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).

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

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

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

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

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

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

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

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

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

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

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

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

fof(f103,axiom,
    ! [X0] :
      ( cC24(X0)
    <=> ? [X1] :
          ( rR1(X0,X1)
          & cC2xcomp(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_102) ).

fof(f112,axiom,
    ! [X0] :
      ( cC30(X0)
    <=> ? [X1] :
          ( rR1(X0,X1)
          & cC12xcomp(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_111) ).

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

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

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

fof(f126,axiom,
    ! [X0] :
      ( cC44(X0)
    <=> ? [X1] :
          ( rR1(X0,X1)
          & cC2xcomp(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_125) ).

fof(f134,axiom,
    ! [X0] :
      ( cC50(X0)
    <=> ? [X1] :
          ( rR1(X0,X1)
          & cC12xcomp(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_133) ).

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

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

fof(f148,axiom,
    ! [X0] :
      ( cC62(X0)
    <=> cTOP(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_147) ).

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

fof(f151,axiom,
    ! [X0] :
      ( cC66(X0)
    <=> ? [X1] :
          ( rR1(X0,X1)
          & cC2xcomp(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_150) ).

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

fof(f161,axiom,
    ! [X0] :
      ( cC72xcomp(X0)
    <=> ~ ? [X1] : ra_Px24(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_160) ).

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

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

fof(f164,axiom,
    ! [X0] :
      ( cC74xcomp(X0)
    <=> ~ ? [X1] : ra_Px87(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_163) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f346,plain,
    ! [X0] :
      ( cTEST(X0)
     => ( cC158(X0)
        & cC180(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f187]) ).

fof(f349,plain,
    ! [X0] :
      ( cC74xcomp(X0)
     => ~ ? [X1] : ra_Px87(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f164]) ).

fof(f421,plain,
    ! [X0] :
      ( cC72xcomp(X0)
    <=> ! [X1] : ~ ra_Px24(X0,X1) ),
    inference(ennf_transformation,[],[f161]) ).

fof(f422,plain,
    ! [X0] :
      ( ! [X1] : ~ ra_Px87(X0,X1)
      | ~ cC74xcomp(X0) ),
    inference(ennf_transformation,[],[f349]) ).

fof(f428,plain,
    ! [X0] :
      ( ( cC158(X0)
        & cC180(X0) )
      | ~ cTEST(X0) ),
    inference(ennf_transformation,[],[f346]) ).

fof(f457,plain,
    ( ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ~ cC108(iV21026)
    | ~ cC40(iV21026)
    | ~ cC136(iV21026)
    | ~ cC10(iV21026)
    | ~ cC90(iV21026)
    | ~ cowlThing(iV21026)
    | ~ cC58(iV21026)
    | ~ cC56(iV21026)
    | ~ cC158(iV21026)
    | ~ cC110(iV21026)
    | ~ cC22(iV21026)
    | ~ cC60(iV21026)
    | ~ cC154(iV21026)
    | ~ cC180(iV21026)
    | ~ cC78(iV21026)
    | ~ cC16(iV21026)
    | ~ cC132(iV21026)
    | ~ cC114(iV21026)
    | ~ cC20(iV21026)
    | ~ cC84(iV21026)
    | ~ cC38(iV21026)
    | ~ cC138(iV21026)
    | ~ cC174(iV21026)
    | ~ cC62(iV21026)
    | ~ cC8(iV21026)
    | ~ cC36(iV21026)
    | ~ cC112(iV21026)
    | ~ cC64(iV21026)
    | ~ cC116(iV21026)
    | ~ cC82(iV21026)
    | ~ cC14(iV21026)
    | ~ cC152(iV21026)
    | ~ cC80(iV21026)
    | ~ cC88(iV21026)
    | ~ cC130(iV21026)
    | ~ cC168(iV21026)
    | ~ cC4(iV21026)
    | ~ cC134(iV21026)
    | ~ cC42(iV21026)
    | ~ cC156(iV21026)
    | ~ cC86(iV21026)
    | ~ cC30(iV21027)
    | ~ cowlThing(iV21027)
    | ~ cC24(iV21027)
    | ~ cC50(iV21029)
    | ~ cC44(iV21029)
    | ~ cowlThing(iV21029)
    | ~ cC72(iV21030)
    | ~ cC66(iV21030)
    | ~ cowlThing(iV21030) ),
    inference(ennf_transformation,[],[f345]) ).

fof(f458,plain,
    ! [X0] :
      ( ( xsd_string(X0)
        | xsd_integer(X0) )
      & ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f459,plain,
    ! [X0] :
      ( ( cC10(X0)
        | ~ cC8(X0)
        | ~ cC4(X0) )
      & ( ( cC8(X0)
          & cC4(X0) )
        | ~ cC10(X0) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f460,plain,
    ! [X0] :
      ( ( cC10(X0)
        | ~ cC8(X0)
        | ~ cC4(X0) )
      & ( ( cC8(X0)
          & cC4(X0) )
        | ~ cC10(X0) ) ),
    inference(flattening,[],[f459]) ).

fof(f491,plain,
    ! [X0] :
      ( ( cC110(X0)
        | ~ cC108(X0)
        | ~ cTOP(X0) )
      & ( ( cC108(X0)
          & cTOP(X0) )
        | ~ cC110(X0) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f492,plain,
    ! [X0] :
      ( ( cC110(X0)
        | ~ cC108(X0)
        | ~ cTOP(X0) )
      & ( ( cC108(X0)
          & cTOP(X0) )
        | ~ cC110(X0) ) ),
    inference(flattening,[],[f491]) ).

fof(f493,plain,
    ! [X0] :
      ( ( cC112(X0)
        | ~ cC110(X0)
        | ~ cC90(X0) )
      & ( ( cC110(X0)
          & cC90(X0) )
        | ~ cC112(X0) ) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f494,plain,
    ! [X0] :
      ( ( cC112(X0)
        | ~ cC110(X0)
        | ~ cC90(X0) )
      & ( ( cC110(X0)
          & cC90(X0) )
        | ~ cC112(X0) ) ),
    inference(flattening,[],[f493]) ).

fof(f495,plain,
    ! [X0] :
      ( ( cC114(X0)
        | ~ cTOP(X0) )
      & ( cTOP(X0)
        | ~ cC114(X0) ) ),
    inference(nnf_transformation,[],[f18]) ).

fof(f496,plain,
    ! [X0] :
      ( ( cC116(X0)
        | ~ cC114(X0)
        | ~ cC112(X0) )
      & ( ( cC114(X0)
          & cC112(X0) )
        | ~ cC116(X0) ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f497,plain,
    ! [X0] :
      ( ( cC116(X0)
        | ~ cC114(X0)
        | ~ cC112(X0) )
      & ( ( cC114(X0)
          & cC112(X0) )
        | ~ cC116(X0) ) ),
    inference(flattening,[],[f496]) ).

fof(f549,plain,
    ! [X0] :
      ( ( cC132(X0)
        | ~ cC130(X0)
        | ~ cTOP(X0) )
      & ( ( cC130(X0)
          & cTOP(X0) )
        | ~ cC132(X0) ) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f550,plain,
    ! [X0] :
      ( ( cC132(X0)
        | ~ cC130(X0)
        | ~ cTOP(X0) )
      & ( ( cC130(X0)
          & cTOP(X0) )
        | ~ cC132(X0) ) ),
    inference(flattening,[],[f549]) ).

fof(f551,plain,
    ! [X0] :
      ( ( cC134(X0)
        | ~ cC116(X0)
        | ~ cC132(X0) )
      & ( ( cC116(X0)
          & cC132(X0) )
        | ~ cC134(X0) ) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f552,plain,
    ! [X0] :
      ( ( cC134(X0)
        | ~ cC116(X0)
        | ~ cC132(X0) )
      & ( ( cC116(X0)
          & cC132(X0) )
        | ~ cC134(X0) ) ),
    inference(flattening,[],[f551]) ).

fof(f553,plain,
    ! [X0] :
      ( ( cC136(X0)
        | ~ cTOP(X0) )
      & ( cTOP(X0)
        | ~ cC136(X0) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f554,plain,
    ! [X0] :
      ( ( cC138(X0)
        | ~ cC136(X0)
        | ~ cC134(X0) )
      & ( ( cC136(X0)
          & cC134(X0) )
        | ~ cC138(X0) ) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f555,plain,
    ! [X0] :
      ( ( cC138(X0)
        | ~ cC136(X0)
        | ~ cC134(X0) )
      & ( ( cC136(X0)
          & cC134(X0) )
        | ~ cC138(X0) ) ),
    inference(flattening,[],[f554]) ).

fof(f608,plain,
    ! [X0] :
      ( ( cC154(X0)
        | ~ cC152(X0)
        | ~ cTOP(X0) )
      & ( ( cC152(X0)
          & cTOP(X0) )
        | ~ cC154(X0) ) ),
    inference(nnf_transformation,[],[f65]) ).

fof(f609,plain,
    ! [X0] :
      ( ( cC154(X0)
        | ~ cC152(X0)
        | ~ cTOP(X0) )
      & ( ( cC152(X0)
          & cTOP(X0) )
        | ~ cC154(X0) ) ),
    inference(flattening,[],[f608]) ).

fof(f610,plain,
    ! [X0] :
      ( ( cC156(X0)
        | ~ cC154(X0)
        | ~ cC138(X0) )
      & ( ( cC154(X0)
          & cC138(X0) )
        | ~ cC156(X0) ) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f611,plain,
    ! [X0] :
      ( ( cC156(X0)
        | ~ cC154(X0)
        | ~ cC138(X0) )
      & ( ( cC154(X0)
          & cC138(X0) )
        | ~ cC156(X0) ) ),
    inference(flattening,[],[f610]) ).

fof(f612,plain,
    ! [X0] :
      ( ( cC158(X0)
        | ~ cC22(X0)
        | ~ cC156(X0) )
      & ( ( cC22(X0)
          & cC156(X0) )
        | ~ cC158(X0) ) ),
    inference(nnf_transformation,[],[f67]) ).

fof(f613,plain,
    ! [X0] :
      ( ( cC158(X0)
        | ~ cC22(X0)
        | ~ cC156(X0) )
      & ( ( cC22(X0)
          & cC156(X0) )
        | ~ cC158(X0) ) ),
    inference(flattening,[],[f612]) ).

fof(f614,plain,
    ! [X0] :
      ( ( cC16(X0)
        | ~ cC10(X0)
        | ~ cC14(X0) )
      & ( ( cC10(X0)
          & cC14(X0) )
        | ~ cC16(X0) ) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f615,plain,
    ! [X0] :
      ( ( cC16(X0)
        | ~ cC10(X0)
        | ~ cC14(X0) )
      & ( ( cC10(X0)
          & cC14(X0) )
        | ~ cC16(X0) ) ),
    inference(flattening,[],[f614]) ).

fof(f664,plain,
    ! [X0] :
      ( ( cC174(X0)
        | ~ cC172xcomp(X0)
        | ~ cC168(X0) )
      & ( ( cC172xcomp(X0)
          & cC168(X0) )
        | ~ cC174(X0) ) ),
    inference(nnf_transformation,[],[f88]) ).

fof(f665,plain,
    ! [X0] :
      ( ( cC174(X0)
        | ~ cC172xcomp(X0)
        | ~ cC168(X0) )
      & ( ( cC172xcomp(X0)
          & cC168(X0) )
        | ~ cC174(X0) ) ),
    inference(flattening,[],[f664]) ).

fof(f685,plain,
    ! [X0] :
      ( ( cC180(X0)
        | ~ cC174(X0)
        | ~ cC178xcomp(X0) )
      & ( ( cC174(X0)
          & cC178xcomp(X0) )
        | ~ cC180(X0) ) ),
    inference(nnf_transformation,[],[f97]) ).

fof(f686,plain,
    ! [X0] :
      ( ( cC180(X0)
        | ~ cC174(X0)
        | ~ cC178xcomp(X0) )
      & ( ( cC174(X0)
          & cC178xcomp(X0) )
        | ~ cC180(X0) ) ),
    inference(flattening,[],[f685]) ).

fof(f694,plain,
    ! [X0] :
      ( ( cC22(X0)
        | ~ cC20(X0)
        | ~ cC16(X0) )
      & ( ( cC20(X0)
          & cC16(X0) )
        | ~ cC22(X0) ) ),
    inference(nnf_transformation,[],[f101]) ).

fof(f695,plain,
    ! [X0] :
      ( ( cC22(X0)
        | ~ cC20(X0)
        | ~ cC16(X0) )
      & ( ( cC20(X0)
          & cC16(X0) )
        | ~ cC22(X0) ) ),
    inference(flattening,[],[f694]) ).

fof(f699,plain,
    ! [X0] :
      ( ( cC24(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC2xcomp(X1) ) )
      & ( ? [X1] :
            ( rR1(X0,X1)
            & cC2xcomp(X1) )
        | ~ cC24(X0) ) ),
    inference(nnf_transformation,[],[f103]) ).

fof(f700,plain,
    ! [X0] :
      ( ( cC24(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC2xcomp(X1) ) )
      & ( ? [X2] :
            ( rR1(X0,X2)
            & cC2xcomp(X2) )
        | ~ cC24(X0) ) ),
    inference(rectify,[],[f699]) ).

fof(f701,plain,
    ! [X0] :
      ( ( cC24(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC2xcomp(X1) ) )
      & ( ( rR1(X0,sK68(X0))
          & cC2xcomp(sK68(X0)) )
        | ~ cC24(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK68]),skolemize(X2,sK68(X0))],[f700]) ).

fof(f722,plain,
    ! [X0] :
      ( ( cC30(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC12xcomp(X1) ) )
      & ( ? [X1] :
            ( rR1(X0,X1)
            & cC12xcomp(X1) )
        | ~ cC30(X0) ) ),
    inference(nnf_transformation,[],[f112]) ).

fof(f723,plain,
    ! [X0] :
      ( ( cC30(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC12xcomp(X1) ) )
      & ( ? [X2] :
            ( rR1(X0,X2)
            & cC12xcomp(X2) )
        | ~ cC30(X0) ) ),
    inference(rectify,[],[f722]) ).

fof(f724,plain,
    ! [X0] :
      ( ( cC30(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC12xcomp(X1) ) )
      & ( ( rR1(X0,sK75(X0))
          & cC12xcomp(sK75(X0)) )
        | ~ cC30(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK75]),skolemize(X2,sK75(X0))],[f723]) ).

fof(f745,plain,
    ! [X0] :
      ( ( cC38(X0)
        | ~ cC36(X0)
        | ~ cTOP(X0) )
      & ( ( cC36(X0)
          & cTOP(X0) )
        | ~ cC38(X0) ) ),
    inference(nnf_transformation,[],[f121]) ).

fof(f746,plain,
    ! [X0] :
      ( ( cC38(X0)
        | ~ cC36(X0)
        | ~ cTOP(X0) )
      & ( ( cC36(X0)
          & cTOP(X0) )
        | ~ cC38(X0) ) ),
    inference(flattening,[],[f745]) ).

fof(f750,plain,
    ! [X0] :
      ( ( cC40(X0)
        | ~ cTOP(X0) )
      & ( cTOP(X0)
        | ~ cC40(X0) ) ),
    inference(nnf_transformation,[],[f123]) ).

fof(f751,plain,
    ! [X0] :
      ( ( cC42(X0)
        | ~ cC40(X0)
        | ~ cC38(X0) )
      & ( ( cC40(X0)
          & cC38(X0) )
        | ~ cC42(X0) ) ),
    inference(nnf_transformation,[],[f124]) ).

fof(f752,plain,
    ! [X0] :
      ( ( cC42(X0)
        | ~ cC40(X0)
        | ~ cC38(X0) )
      & ( ( cC40(X0)
          & cC38(X0) )
        | ~ cC42(X0) ) ),
    inference(flattening,[],[f751]) ).

fof(f756,plain,
    ! [X0] :
      ( ( cC44(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC2xcomp(X1) ) )
      & ( ? [X1] :
            ( rR1(X0,X1)
            & cC2xcomp(X1) )
        | ~ cC44(X0) ) ),
    inference(nnf_transformation,[],[f126]) ).

fof(f757,plain,
    ! [X0] :
      ( ( cC44(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC2xcomp(X1) ) )
      & ( ? [X2] :
            ( rR1(X0,X2)
            & cC2xcomp(X2) )
        | ~ cC44(X0) ) ),
    inference(rectify,[],[f756]) ).

fof(f758,plain,
    ! [X0] :
      ( ( cC44(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC2xcomp(X1) ) )
      & ( ( rR1(X0,sK84(X0))
          & cC2xcomp(sK84(X0)) )
        | ~ cC44(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK84]),skolemize(X2,sK84(X0))],[f757]) ).

fof(f776,plain,
    ! [X0] :
      ( ( cC50(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC12xcomp(X1) ) )
      & ( ? [X1] :
            ( rR1(X0,X1)
            & cC12xcomp(X1) )
        | ~ cC50(X0) ) ),
    inference(nnf_transformation,[],[f134]) ).

fof(f777,plain,
    ! [X0] :
      ( ( cC50(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC12xcomp(X1) ) )
      & ( ? [X2] :
            ( rR1(X0,X2)
            & cC12xcomp(X2) )
        | ~ cC50(X0) ) ),
    inference(rectify,[],[f776]) ).

fof(f778,plain,
    ! [X0] :
      ( ( cC50(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC12xcomp(X1) ) )
      & ( ( rR1(X0,sK90(X0))
          & cC12xcomp(sK90(X0)) )
        | ~ cC50(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK90]),skolemize(X2,sK90(X0))],[f777]) ).

fof(f801,plain,
    ! [X0] :
      ( ( cC58(X0)
        | ~ cC56(X0)
        | ~ cTOP(X0) )
      & ( ( cC56(X0)
          & cTOP(X0) )
        | ~ cC58(X0) ) ),
    inference(nnf_transformation,[],[f144]) ).

fof(f802,plain,
    ! [X0] :
      ( ( cC58(X0)
        | ~ cC56(X0)
        | ~ cTOP(X0) )
      & ( ( cC56(X0)
          & cTOP(X0) )
        | ~ cC58(X0) ) ),
    inference(flattening,[],[f801]) ).

fof(f807,plain,
    ! [X0] :
      ( ( cC60(X0)
        | ~ cC58(X0)
        | ~ cC42(X0) )
      & ( ( cC58(X0)
          & cC42(X0) )
        | ~ cC60(X0) ) ),
    inference(nnf_transformation,[],[f147]) ).

fof(f808,plain,
    ! [X0] :
      ( ( cC60(X0)
        | ~ cC58(X0)
        | ~ cC42(X0) )
      & ( ( cC58(X0)
          & cC42(X0) )
        | ~ cC60(X0) ) ),
    inference(flattening,[],[f807]) ).

fof(f809,plain,
    ! [X0] :
      ( ( cC62(X0)
        | ~ cTOP(X0) )
      & ( cTOP(X0)
        | ~ cC62(X0) ) ),
    inference(nnf_transformation,[],[f148]) ).

fof(f810,plain,
    ! [X0] :
      ( ( cC64(X0)
        | ~ cC60(X0)
        | ~ cC62(X0) )
      & ( ( cC60(X0)
          & cC62(X0) )
        | ~ cC64(X0) ) ),
    inference(nnf_transformation,[],[f149]) ).

fof(f811,plain,
    ! [X0] :
      ( ( cC64(X0)
        | ~ cC60(X0)
        | ~ cC62(X0) )
      & ( ( cC60(X0)
          & cC62(X0) )
        | ~ cC64(X0) ) ),
    inference(flattening,[],[f810]) ).

fof(f815,plain,
    ! [X0] :
      ( ( cC66(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC2xcomp(X1) ) )
      & ( ? [X1] :
            ( rR1(X0,X1)
            & cC2xcomp(X1) )
        | ~ cC66(X0) ) ),
    inference(nnf_transformation,[],[f151]) ).

fof(f816,plain,
    ! [X0] :
      ( ( cC66(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC2xcomp(X1) ) )
      & ( ? [X2] :
            ( rR1(X0,X2)
            & cC2xcomp(X2) )
        | ~ cC66(X0) ) ),
    inference(rectify,[],[f815]) ).

fof(f817,plain,
    ! [X0] :
      ( ( cC66(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC2xcomp(X1) ) )
      & ( ( rR1(X0,sK100(X0))
          & cC2xcomp(sK100(X0)) )
        | ~ cC66(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK100]),skolemize(X2,sK100(X0))],[f816]) ).

fof(f836,plain,
    ! [X0] :
      ( ( cC72(X0)
        | ! [X1] : ~ ra_Px24(X0,X1) )
      & ( ? [X1] : ra_Px24(X0,X1)
        | ~ cC72(X0) ) ),
    inference(nnf_transformation,[],[f159]) ).

fof(f837,plain,
    ! [X0] :
      ( ( cC72(X0)
        | ! [X1] : ~ ra_Px24(X0,X1) )
      & ( ? [X2] : ra_Px24(X0,X2)
        | ~ cC72(X0) ) ),
    inference(rectify,[],[f836]) ).

fof(f838,plain,
    ! [X0] :
      ( ( cC72(X0)
        | ! [X1] : ~ ra_Px24(X0,X1) )
      & ( ra_Px24(X0,sK107(X0))
        | ~ cC72(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK107]),skolemize(X2,sK107(X0))],[f837]) ).

fof(f842,plain,
    ! [X0] :
      ( ( cC72xcomp(X0)
        | ? [X1] : ra_Px24(X0,X1) )
      & ( ! [X1] : ~ ra_Px24(X0,X1)
        | ~ cC72xcomp(X0) ) ),
    inference(nnf_transformation,[],[f421]) ).

fof(f843,plain,
    ! [X0] :
      ( ( cC72xcomp(X0)
        | ? [X1] : ra_Px24(X0,X1) )
      & ( ! [X2] : ~ ra_Px24(X0,X2)
        | ~ cC72xcomp(X0) ) ),
    inference(rectify,[],[f842]) ).

fof(f844,plain,
    ! [X0] :
      ( ( cC72xcomp(X0)
        | ra_Px24(X0,sK109(X0)) )
      & ( ! [X2] : ~ ra_Px24(X0,X2)
        | ~ cC72xcomp(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK109]),skolemize(X1,sK109(X0))],[f843]) ).

fof(f845,plain,
    ! [X0] :
      ( ( cC74(X0)
        | ~ cC72xcomp(X0)
        | ~ cC18xcomp(X0) )
      & ( ( cC72xcomp(X0)
          & cC18xcomp(X0) )
        | ~ cC74(X0) ) ),
    inference(nnf_transformation,[],[f162]) ).

fof(f846,plain,
    ! [X0] :
      ( ( cC74(X0)
        | ~ cC72xcomp(X0)
        | ~ cC18xcomp(X0) )
      & ( ( cC72xcomp(X0)
          & cC18xcomp(X0) )
        | ~ cC74(X0) ) ),
    inference(flattening,[],[f845]) ).

fof(f847,plain,
    ! [X0] :
      ( ( cC74(X0)
        | ! [X1] : ~ ra_Px87(X0,X1) )
      & ( ? [X1] : ra_Px87(X0,X1)
        | ~ cC74(X0) ) ),
    inference(nnf_transformation,[],[f163]) ).

fof(f848,plain,
    ! [X0] :
      ( ( cC74(X0)
        | ! [X1] : ~ ra_Px87(X0,X1) )
      & ( ? [X2] : ra_Px87(X0,X2)
        | ~ cC74(X0) ) ),
    inference(rectify,[],[f847]) ).

fof(f849,plain,
    ! [X0] :
      ( ( cC74(X0)
        | ! [X1] : ~ ra_Px87(X0,X1) )
      & ( ra_Px87(X0,sK110(X0))
        | ~ cC74(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK110]),skolemize(X2,sK110(X0))],[f848]) ).

fof(f864,plain,
    ! [X0] :
      ( ( cC80(X0)
        | ~ cC78(X0)
        | ~ cTOP(X0) )
      & ( ( cC78(X0)
          & cTOP(X0) )
        | ~ cC80(X0) ) ),
    inference(nnf_transformation,[],[f170]) ).

fof(f865,plain,
    ! [X0] :
      ( ( cC80(X0)
        | ~ cC78(X0)
        | ~ cTOP(X0) )
      & ( ( cC78(X0)
          & cTOP(X0) )
        | ~ cC80(X0) ) ),
    inference(flattening,[],[f864]) ).

fof(f866,plain,
    ! [X0] :
      ( ( cC82(X0)
        | ~ cC64(X0)
        | ~ cC80(X0) )
      & ( ( cC64(X0)
          & cC80(X0) )
        | ~ cC82(X0) ) ),
    inference(nnf_transformation,[],[f171]) ).

fof(f867,plain,
    ! [X0] :
      ( ( cC82(X0)
        | ~ cC64(X0)
        | ~ cC80(X0) )
      & ( ( cC64(X0)
          & cC80(X0) )
        | ~ cC82(X0) ) ),
    inference(flattening,[],[f866]) ).

fof(f868,plain,
    ! [X0] :
      ( ( cC84(X0)
        | ~ cTOP(X0) )
      & ( cTOP(X0)
        | ~ cC84(X0) ) ),
    inference(nnf_transformation,[],[f172]) ).

fof(f869,plain,
    ! [X0] :
      ( ( cC86(X0)
        | ~ cC82(X0)
        | ~ cC84(X0) )
      & ( ( cC82(X0)
          & cC84(X0) )
        | ~ cC86(X0) ) ),
    inference(nnf_transformation,[],[f173]) ).

fof(f870,plain,
    ! [X0] :
      ( ( cC86(X0)
        | ~ cC82(X0)
        | ~ cC84(X0) )
      & ( ( cC82(X0)
          & cC84(X0) )
        | ~ cC86(X0) ) ),
    inference(flattening,[],[f869]) ).

fof(f871,plain,
    ! [X0] :
      ( ( cC88(X0)
        | ~ cTOP(X0) )
      & ( cTOP(X0)
        | ~ cC88(X0) ) ),
    inference(nnf_transformation,[],[f174]) ).

fof(f872,plain,
    ! [X0] :
      ( ( cC90(X0)
        | ~ cC86(X0)
        | ~ cC88(X0) )
      & ( ( cC86(X0)
          & cC88(X0) )
        | ~ cC90(X0) ) ),
    inference(nnf_transformation,[],[f175]) ).

fof(f873,plain,
    ! [X0] :
      ( ( cC90(X0)
        | ~ cC86(X0)
        | ~ cC88(X0) )
      & ( ( cC86(X0)
          & cC88(X0) )
        | ~ cC90(X0) ) ),
    inference(flattening,[],[f872]) ).

fof(f900,plain,
    ( ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
    | ? [X1] :
        ( ( xsd_integer(X1)
          | ~ xsd_string(X1) )
        & ( ~ xsd_integer(X1)
          | xsd_string(X1) ) )
    | ~ cC108(iV21026)
    | ~ cC40(iV21026)
    | ~ cC136(iV21026)
    | ~ cC10(iV21026)
    | ~ cC90(iV21026)
    | ~ cowlThing(iV21026)
    | ~ cC58(iV21026)
    | ~ cC56(iV21026)
    | ~ cC158(iV21026)
    | ~ cC110(iV21026)
    | ~ cC22(iV21026)
    | ~ cC60(iV21026)
    | ~ cC154(iV21026)
    | ~ cC180(iV21026)
    | ~ cC78(iV21026)
    | ~ cC16(iV21026)
    | ~ cC132(iV21026)
    | ~ cC114(iV21026)
    | ~ cC20(iV21026)
    | ~ cC84(iV21026)
    | ~ cC38(iV21026)
    | ~ cC138(iV21026)
    | ~ cC174(iV21026)
    | ~ cC62(iV21026)
    | ~ cC8(iV21026)
    | ~ cC36(iV21026)
    | ~ cC112(iV21026)
    | ~ cC64(iV21026)
    | ~ cC116(iV21026)
    | ~ cC82(iV21026)
    | ~ cC14(iV21026)
    | ~ cC152(iV21026)
    | ~ cC80(iV21026)
    | ~ cC88(iV21026)
    | ~ cC130(iV21026)
    | ~ cC168(iV21026)
    | ~ cC4(iV21026)
    | ~ cC134(iV21026)
    | ~ cC42(iV21026)
    | ~ cC156(iV21026)
    | ~ cC86(iV21026)
    | ~ cC30(iV21027)
    | ~ cowlThing(iV21027)
    | ~ cC24(iV21027)
    | ~ cC50(iV21029)
    | ~ cC44(iV21029)
    | ~ cowlThing(iV21029)
    | ~ cC72(iV21030)
    | ~ cC66(iV21030)
    | ~ cowlThing(iV21030) ),
    inference(nnf_transformation,[],[f457]) ).

fof(f901,plain,
    ( ~ cowlThing(sK123)
    | cowlNothing(sK123)
    | ( ( xsd_integer(sK124)
        | ~ xsd_string(sK124) )
      & ( ~ xsd_integer(sK124)
        | xsd_string(sK124) ) )
    | ~ cC108(iV21026)
    | ~ cC40(iV21026)
    | ~ cC136(iV21026)
    | ~ cC10(iV21026)
    | ~ cC90(iV21026)
    | ~ cowlThing(iV21026)
    | ~ cC58(iV21026)
    | ~ cC56(iV21026)
    | ~ cC158(iV21026)
    | ~ cC110(iV21026)
    | ~ cC22(iV21026)
    | ~ cC60(iV21026)
    | ~ cC154(iV21026)
    | ~ cC180(iV21026)
    | ~ cC78(iV21026)
    | ~ cC16(iV21026)
    | ~ cC132(iV21026)
    | ~ cC114(iV21026)
    | ~ cC20(iV21026)
    | ~ cC84(iV21026)
    | ~ cC38(iV21026)
    | ~ cC138(iV21026)
    | ~ cC174(iV21026)
    | ~ cC62(iV21026)
    | ~ cC8(iV21026)
    | ~ cC36(iV21026)
    | ~ cC112(iV21026)
    | ~ cC64(iV21026)
    | ~ cC116(iV21026)
    | ~ cC82(iV21026)
    | ~ cC14(iV21026)
    | ~ cC152(iV21026)
    | ~ cC80(iV21026)
    | ~ cC88(iV21026)
    | ~ cC130(iV21026)
    | ~ cC168(iV21026)
    | ~ cC4(iV21026)
    | ~ cC134(iV21026)
    | ~ cC42(iV21026)
    | ~ cC156(iV21026)
    | ~ cC86(iV21026)
    | ~ cC30(iV21027)
    | ~ cowlThing(iV21027)
    | ~ cC24(iV21027)
    | ~ cC50(iV21029)
    | ~ cC44(iV21029)
    | ~ cowlThing(iV21029)
    | ~ cC72(iV21030)
    | ~ cC66(iV21030)
    | ~ cowlThing(iV21030) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK123,sK124]),skolemize(X0,sK123),skolemize(X1,sK124)],[f900]) ).

fof(f902,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f903,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f904,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f458]) ).

fof(f905,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f458]) ).

fof(f906,plain,
    ! [X0] :
      ( ~ cC10(X0)
      | cC4(X0) ),
    inference(cnf_transformation,[],[f460]) ).

fof(f907,plain,
    ! [X0] :
      ( ~ cC10(X0)
      | cC8(X0) ),
    inference(cnf_transformation,[],[f460]) ).

fof(f936,plain,
    ! [X0] :
      ( ~ cC110(X0)
      | cC108(X0) ),
    inference(cnf_transformation,[],[f492]) ).

fof(f938,plain,
    ! [X0] :
      ( ~ cC112(X0)
      | cC90(X0) ),
    inference(cnf_transformation,[],[f494]) ).

fof(f939,plain,
    ! [X0] :
      ( ~ cC112(X0)
      | cC110(X0) ),
    inference(cnf_transformation,[],[f494]) ).

fof(f942,plain,
    ! [X0] :
      ( ~ cTOP(X0)
      | cC114(X0) ),
    inference(cnf_transformation,[],[f495]) ).

fof(f943,plain,
    ! [X0] :
      ( ~ cC116(X0)
      | cC112(X0) ),
    inference(cnf_transformation,[],[f497]) ).

fof(f993,plain,
    ! [X0] :
      ( ~ cC132(X0)
      | cC130(X0) ),
    inference(cnf_transformation,[],[f550]) ).

fof(f995,plain,
    ! [X0] :
      ( ~ cC134(X0)
      | cC132(X0) ),
    inference(cnf_transformation,[],[f552]) ).

fof(f996,plain,
    ! [X0] :
      ( ~ cC134(X0)
      | cC116(X0) ),
    inference(cnf_transformation,[],[f552]) ).

fof(f999,plain,
    ! [X0] :
      ( ~ cTOP(X0)
      | cC136(X0) ),
    inference(cnf_transformation,[],[f553]) ).

fof(f1000,plain,
    ! [X0] :
      ( ~ cC138(X0)
      | cC134(X0) ),
    inference(cnf_transformation,[],[f555]) ).

fof(f1050,plain,
    ! [X0] :
      ( ~ cC154(X0)
      | cC152(X0) ),
    inference(cnf_transformation,[],[f609]) ).

fof(f1052,plain,
    ! [X0] :
      ( ~ cC156(X0)
      | cC138(X0) ),
    inference(cnf_transformation,[],[f611]) ).

fof(f1053,plain,
    ! [X0] :
      ( ~ cC156(X0)
      | cC154(X0) ),
    inference(cnf_transformation,[],[f611]) ).

fof(f1055,plain,
    ! [X0] :
      ( ~ cC158(X0)
      | cC156(X0) ),
    inference(cnf_transformation,[],[f613]) ).

fof(f1056,plain,
    ! [X0] :
      ( ~ cC158(X0)
      | cC22(X0) ),
    inference(cnf_transformation,[],[f613]) ).

fof(f1058,plain,
    ! [X0] :
      ( ~ cC16(X0)
      | cC14(X0) ),
    inference(cnf_transformation,[],[f615]) ).

fof(f1059,plain,
    ! [X0] :
      ( ~ cC16(X0)
      | cC10(X0) ),
    inference(cnf_transformation,[],[f615]) ).

fof(f1103,plain,
    ! [X0] :
      ( ~ cC174(X0)
      | cC168(X0) ),
    inference(cnf_transformation,[],[f665]) ).

fof(f1123,plain,
    ! [X0] :
      ( ~ cC180(X0)
      | cC174(X0) ),
    inference(cnf_transformation,[],[f686]) ).

fof(f1131,plain,
    ! [X0] :
      ( ~ cC22(X0)
      | cC16(X0) ),
    inference(cnf_transformation,[],[f695]) ).

fof(f1132,plain,
    ! [X0] :
      ( ~ cC22(X0)
      | cC20(X0) ),
    inference(cnf_transformation,[],[f695]) ).

fof(f1138,plain,
    ! [X0,X1] :
      ( ~ cC2xcomp(X1)
      | ~ rR1(X0,X1)
      | cC24(X0) ),
    inference(cnf_transformation,[],[f701]) ).

fof(f1158,plain,
    ! [X0,X1] :
      ( ~ cC12xcomp(X1)
      | ~ rR1(X0,X1)
      | cC30(X0) ),
    inference(cnf_transformation,[],[f724]) ).

fof(f1178,plain,
    ! [X0] :
      ( ~ cC38(X0)
      | cC36(X0) ),
    inference(cnf_transformation,[],[f746]) ).

fof(f1184,plain,
    ! [X0] :
      ( ~ cTOP(X0)
      | cC40(X0) ),
    inference(cnf_transformation,[],[f750]) ).

fof(f1185,plain,
    ! [X0] :
      ( ~ cC42(X0)
      | cC38(X0) ),
    inference(cnf_transformation,[],[f752]) ).

fof(f1192,plain,
    ! [X0,X1] :
      ( ~ cC2xcomp(X1)
      | ~ rR1(X0,X1)
      | cC44(X0) ),
    inference(cnf_transformation,[],[f758]) ).

fof(f1210,plain,
    ! [X0,X1] :
      ( ~ cC12xcomp(X1)
      | ~ rR1(X0,X1)
      | cC50(X0) ),
    inference(cnf_transformation,[],[f778]) ).

fof(f1232,plain,
    ! [X0] :
      ( ~ cC58(X0)
      | cC56(X0) ),
    inference(cnf_transformation,[],[f802]) ).

fof(f1237,plain,
    ! [X0] :
      ( ~ cC60(X0)
      | cC42(X0) ),
    inference(cnf_transformation,[],[f808]) ).

fof(f1238,plain,
    ! [X0] :
      ( ~ cC60(X0)
      | cC58(X0) ),
    inference(cnf_transformation,[],[f808]) ).

fof(f1241,plain,
    ! [X0] :
      ( ~ cTOP(X0)
      | cC62(X0) ),
    inference(cnf_transformation,[],[f809]) ).

fof(f1243,plain,
    ! [X0] :
      ( ~ cC64(X0)
      | cC60(X0) ),
    inference(cnf_transformation,[],[f811]) ).

fof(f1249,plain,
    ! [X0,X1] :
      ( ~ cC2xcomp(X1)
      | ~ rR1(X0,X1)
      | cC66(X0) ),
    inference(cnf_transformation,[],[f817]) ).

fof(f1266,plain,
    ! [X0,X1] :
      ( ~ ra_Px24(X0,X1)
      | cC72(X0) ),
    inference(cnf_transformation,[],[f838]) ).

fof(f1271,plain,
    ! [X0] :
      ( cC72xcomp(X0)
      | ra_Px24(X0,sK109(X0)) ),
    inference(cnf_transformation,[],[f844]) ).

fof(f1274,plain,
    ! [X0] :
      ( ~ cC72xcomp(X0)
      | cC74(X0)
      | ~ cC18xcomp(X0) ),
    inference(cnf_transformation,[],[f846]) ).

fof(f1275,plain,
    ! [X0] :
      ( ~ cC74(X0)
      | ra_Px87(X0,sK110(X0)) ),
    inference(cnf_transformation,[],[f849]) ).

fof(f1277,plain,
    ! [X0,X1] :
      ( ~ cC74xcomp(X0)
      | ~ ra_Px87(X0,X1) ),
    inference(cnf_transformation,[],[f422]) ).

fof(f1292,plain,
    ! [X0] :
      ( ~ cC80(X0)
      | cC78(X0) ),
    inference(cnf_transformation,[],[f865]) ).

fof(f1294,plain,
    ! [X0] :
      ( ~ cC82(X0)
      | cC80(X0) ),
    inference(cnf_transformation,[],[f867]) ).

fof(f1295,plain,
    ! [X0] :
      ( ~ cC82(X0)
      | cC64(X0) ),
    inference(cnf_transformation,[],[f867]) ).

fof(f1298,plain,
    ! [X0] :
      ( ~ cTOP(X0)
      | cC84(X0) ),
    inference(cnf_transformation,[],[f868]) ).

fof(f1300,plain,
    ! [X0] :
      ( ~ cC86(X0)
      | cC82(X0) ),
    inference(cnf_transformation,[],[f870]) ).

fof(f1303,plain,
    ! [X0] :
      ( ~ cTOP(X0)
      | cC88(X0) ),
    inference(cnf_transformation,[],[f871]) ).

fof(f1305,plain,
    ! [X0] :
      ( ~ cC90(X0)
      | cC86(X0) ),
    inference(cnf_transformation,[],[f873]) ).

fof(f1330,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC180(X0) ),
    inference(cnf_transformation,[],[f428]) ).

fof(f1331,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC158(X0) ),
    inference(cnf_transformation,[],[f428]) ).

fof(f1335,plain,
    cTOP(iV21026),
    inference(cnf_transformation,[],[f191]) ).

fof(f1364,plain,
    cowlThing(iV21026),
    inference(cnf_transformation,[],[f220]) ).

fof(f1366,plain,
    cTEST(iV21026),
    inference(cnf_transformation,[],[f222]) ).

fof(f1393,plain,
    cowlThing(iV21027),
    inference(cnf_transformation,[],[f249]) ).

fof(f1397,plain,
    rR1(iV21027,iV21036),
    inference(cnf_transformation,[],[f253]) ).

fof(f1398,plain,
    rR1(iV21027,iV21035),
    inference(cnf_transformation,[],[f254]) ).

fof(f1423,plain,
    cowlThing(iV21029),
    inference(cnf_transformation,[],[f279]) ).

fof(f1426,plain,
    rR1(iV21029,iV21034),
    inference(cnf_transformation,[],[f282]) ).

fof(f1427,plain,
    rR1(iV21029,iV21033),
    inference(cnf_transformation,[],[f283]) ).

fof(f1438,plain,
    cC18xcomp(iV21030),
    inference(cnf_transformation,[],[f294]) ).

fof(f1451,plain,
    cowlThing(iV21030),
    inference(cnf_transformation,[],[f307]) ).

fof(f1452,plain,
    cC74xcomp(iV21030),
    inference(cnf_transformation,[],[f308]) ).

fof(f1454,plain,
    rR1(iV21030,iV21032),
    inference(cnf_transformation,[],[f310]) ).

fof(f1457,plain,
    cC2xcomp(iV21032),
    inference(cnf_transformation,[],[f313]) ).

fof(f1464,plain,
    cC12xcomp(iV21033),
    inference(cnf_transformation,[],[f320]) ).

fof(f1470,plain,
    cC2xcomp(iV21034),
    inference(cnf_transformation,[],[f326]) ).

fof(f1476,plain,
    cC12xcomp(iV21035),
    inference(cnf_transformation,[],[f332]) ).

fof(f1482,plain,
    cC2xcomp(iV21036),
    inference(cnf_transformation,[],[f338]) ).

fof(f1487,plain,
    ( ~ cowlThing(sK123)
    | cowlNothing(sK123)
    | ~ xsd_integer(sK124)
    | xsd_string(sK124)
    | ~ cC108(iV21026)
    | ~ cC40(iV21026)
    | ~ cC136(iV21026)
    | ~ cC10(iV21026)
    | ~ cC90(iV21026)
    | ~ cowlThing(iV21026)
    | ~ cC58(iV21026)
    | ~ cC56(iV21026)
    | ~ cC158(iV21026)
    | ~ cC110(iV21026)
    | ~ cC22(iV21026)
    | ~ cC60(iV21026)
    | ~ cC154(iV21026)
    | ~ cC180(iV21026)
    | ~ cC78(iV21026)
    | ~ cC16(iV21026)
    | ~ cC132(iV21026)
    | ~ cC114(iV21026)
    | ~ cC20(iV21026)
    | ~ cC84(iV21026)
    | ~ cC38(iV21026)
    | ~ cC138(iV21026)
    | ~ cC174(iV21026)
    | ~ cC62(iV21026)
    | ~ cC8(iV21026)
    | ~ cC36(iV21026)
    | ~ cC112(iV21026)
    | ~ cC64(iV21026)
    | ~ cC116(iV21026)
    | ~ cC82(iV21026)
    | ~ cC14(iV21026)
    | ~ cC152(iV21026)
    | ~ cC80(iV21026)
    | ~ cC88(iV21026)
    | ~ cC130(iV21026)
    | ~ cC168(iV21026)
    | ~ cC4(iV21026)
    | ~ cC134(iV21026)
    | ~ cC42(iV21026)
    | ~ cC156(iV21026)
    | ~ cC86(iV21026)
    | ~ cC30(iV21027)
    | ~ cowlThing(iV21027)
    | ~ cC24(iV21027)
    | ~ cC50(iV21029)
    | ~ cC44(iV21029)
    | ~ cowlThing(iV21029)
    | ~ cC72(iV21030)
    | ~ cC66(iV21030)
    | ~ cowlThing(iV21030) ),
    inference(cnf_transformation,[],[f901]) ).

fof(f1488,plain,
    ( ~ cowlThing(sK123)
    | cowlNothing(sK123)
    | xsd_integer(sK124)
    | ~ xsd_string(sK124)
    | ~ cC108(iV21026)
    | ~ cC40(iV21026)
    | ~ cC136(iV21026)
    | ~ cC10(iV21026)
    | ~ cC90(iV21026)
    | ~ cowlThing(iV21026)
    | ~ cC58(iV21026)
    | ~ cC56(iV21026)
    | ~ cC158(iV21026)
    | ~ cC110(iV21026)
    | ~ cC22(iV21026)
    | ~ cC60(iV21026)
    | ~ cC154(iV21026)
    | ~ cC180(iV21026)
    | ~ cC78(iV21026)
    | ~ cC16(iV21026)
    | ~ cC132(iV21026)
    | ~ cC114(iV21026)
    | ~ cC20(iV21026)
    | ~ cC84(iV21026)
    | ~ cC38(iV21026)
    | ~ cC138(iV21026)
    | ~ cC174(iV21026)
    | ~ cC62(iV21026)
    | ~ cC8(iV21026)
    | ~ cC36(iV21026)
    | ~ cC112(iV21026)
    | ~ cC64(iV21026)
    | ~ cC116(iV21026)
    | ~ cC82(iV21026)
    | ~ cC14(iV21026)
    | ~ cC152(iV21026)
    | ~ cC80(iV21026)
    | ~ cC88(iV21026)
    | ~ cC130(iV21026)
    | ~ cC168(iV21026)
    | ~ cC4(iV21026)
    | ~ cC134(iV21026)
    | ~ cC42(iV21026)
    | ~ cC156(iV21026)
    | ~ cC86(iV21026)
    | ~ cC30(iV21027)
    | ~ cowlThing(iV21027)
    | ~ cC24(iV21027)
    | ~ cC50(iV21029)
    | ~ cC44(iV21029)
    | ~ cowlThing(iV21029)
    | ~ cC72(iV21030)
    | ~ cC66(iV21030)
    | ~ cowlThing(iV21030) ),
    inference(cnf_transformation,[],[f901]) ).

fof(f1490,definition,
    ( spl125_1
  <=> cowlThing(iV21030) ),
    introduced(definition,[new_symbols(definition,[spl125_1])],[avatar_definition]) ).

fof(f1494,definition,
    ( spl125_2
  <=> cC66(iV21030) ),
    introduced(definition,[new_symbols(definition,[spl125_2])],[avatar_definition]) ).

fof(f1496,plain,
    ( ~ cC66(iV21030)
    | spl125_2 ),
    inference(avatar_component_clause,[],[f1494]) ).

fof(f1498,definition,
    ( spl125_3
  <=> cC72(iV21030) ),
    introduced(definition,[new_symbols(definition,[spl125_3])],[avatar_definition]) ).

fof(f1500,plain,
    ( ~ cC72(iV21030)
    | spl125_3 ),
    inference(avatar_component_clause,[],[f1498]) ).

fof(f1502,definition,
    ( spl125_4
  <=> cowlThing(iV21029) ),
    introduced(definition,[new_symbols(definition,[spl125_4])],[avatar_definition]) ).

fof(f1506,definition,
    ( spl125_5
  <=> cC44(iV21029) ),
    introduced(definition,[new_symbols(definition,[spl125_5])],[avatar_definition]) ).

fof(f1510,definition,
    ( spl125_6
  <=> cC50(iV21029) ),
    introduced(definition,[new_symbols(definition,[spl125_6])],[avatar_definition]) ).

fof(f1514,definition,
    ( spl125_7
  <=> cC24(iV21027) ),
    introduced(definition,[new_symbols(definition,[spl125_7])],[avatar_definition]) ).

fof(f1518,definition,
    ( spl125_8
  <=> cowlThing(iV21027) ),
    introduced(definition,[new_symbols(definition,[spl125_8])],[avatar_definition]) ).

fof(f1522,definition,
    ( spl125_9
  <=> cC30(iV21027) ),
    introduced(definition,[new_symbols(definition,[spl125_9])],[avatar_definition]) ).

fof(f1526,definition,
    ( spl125_10
  <=> cC86(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_10])],[avatar_definition]) ).

fof(f1527,plain,
    ( cC86(iV21026)
    | ~ spl125_10 ),
    inference(avatar_component_clause,[],[f1526]) ).

fof(f1530,definition,
    ( spl125_11
  <=> cC156(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_11])],[avatar_definition]) ).

fof(f1531,plain,
    ( cC156(iV21026)
    | ~ spl125_11 ),
    inference(avatar_component_clause,[],[f1530]) ).

fof(f1534,definition,
    ( spl125_12
  <=> cC42(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_12])],[avatar_definition]) ).

fof(f1535,plain,
    ( cC42(iV21026)
    | ~ spl125_12 ),
    inference(avatar_component_clause,[],[f1534]) ).

fof(f1538,definition,
    ( spl125_13
  <=> cC134(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_13])],[avatar_definition]) ).

fof(f1539,plain,
    ( cC134(iV21026)
    | ~ spl125_13 ),
    inference(avatar_component_clause,[],[f1538]) ).

fof(f1542,definition,
    ( spl125_14
  <=> cC4(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_14])],[avatar_definition]) ).

fof(f1546,definition,
    ( spl125_15
  <=> cC168(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_15])],[avatar_definition]) ).

fof(f1550,definition,
    ( spl125_16
  <=> cC130(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_16])],[avatar_definition]) ).

fof(f1554,definition,
    ( spl125_17
  <=> cC88(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_17])],[avatar_definition]) ).

fof(f1558,definition,
    ( spl125_18
  <=> cC80(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_18])],[avatar_definition]) ).

fof(f1559,plain,
    ( cC80(iV21026)
    | ~ spl125_18 ),
    inference(avatar_component_clause,[],[f1558]) ).

fof(f1562,definition,
    ( spl125_19
  <=> cC152(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_19])],[avatar_definition]) ).

fof(f1566,definition,
    ( spl125_20
  <=> cC14(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_20])],[avatar_definition]) ).

fof(f1570,definition,
    ( spl125_21
  <=> cC82(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_21])],[avatar_definition]) ).

fof(f1571,plain,
    ( cC82(iV21026)
    | ~ spl125_21 ),
    inference(avatar_component_clause,[],[f1570]) ).

fof(f1574,definition,
    ( spl125_22
  <=> cC116(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_22])],[avatar_definition]) ).

fof(f1575,plain,
    ( cC116(iV21026)
    | ~ spl125_22 ),
    inference(avatar_component_clause,[],[f1574]) ).

fof(f1578,definition,
    ( spl125_23
  <=> cC64(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_23])],[avatar_definition]) ).

fof(f1579,plain,
    ( cC64(iV21026)
    | ~ spl125_23 ),
    inference(avatar_component_clause,[],[f1578]) ).

fof(f1582,definition,
    ( spl125_24
  <=> cC112(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_24])],[avatar_definition]) ).

fof(f1583,plain,
    ( cC112(iV21026)
    | ~ spl125_24 ),
    inference(avatar_component_clause,[],[f1582]) ).

fof(f1586,definition,
    ( spl125_25
  <=> cC36(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_25])],[avatar_definition]) ).

fof(f1590,definition,
    ( spl125_26
  <=> cC8(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_26])],[avatar_definition]) ).

fof(f1594,definition,
    ( spl125_27
  <=> cC62(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_27])],[avatar_definition]) ).

fof(f1598,definition,
    ( spl125_28
  <=> cC174(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_28])],[avatar_definition]) ).

fof(f1599,plain,
    ( cC174(iV21026)
    | ~ spl125_28 ),
    inference(avatar_component_clause,[],[f1598]) ).

fof(f1602,definition,
    ( spl125_29
  <=> cC138(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_29])],[avatar_definition]) ).

fof(f1603,plain,
    ( cC138(iV21026)
    | ~ spl125_29 ),
    inference(avatar_component_clause,[],[f1602]) ).

fof(f1606,definition,
    ( spl125_30
  <=> cC38(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_30])],[avatar_definition]) ).

fof(f1607,plain,
    ( cC38(iV21026)
    | ~ spl125_30 ),
    inference(avatar_component_clause,[],[f1606]) ).

fof(f1610,definition,
    ( spl125_31
  <=> cC84(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_31])],[avatar_definition]) ).

fof(f1614,definition,
    ( spl125_32
  <=> cC20(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_32])],[avatar_definition]) ).

fof(f1618,definition,
    ( spl125_33
  <=> cC114(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_33])],[avatar_definition]) ).

fof(f1622,definition,
    ( spl125_34
  <=> cC132(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_34])],[avatar_definition]) ).

fof(f1623,plain,
    ( cC132(iV21026)
    | ~ spl125_34 ),
    inference(avatar_component_clause,[],[f1622]) ).

fof(f1626,definition,
    ( spl125_35
  <=> cC16(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_35])],[avatar_definition]) ).

fof(f1627,plain,
    ( cC16(iV21026)
    | ~ spl125_35 ),
    inference(avatar_component_clause,[],[f1626]) ).

fof(f1630,definition,
    ( spl125_36
  <=> cC78(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_36])],[avatar_definition]) ).

fof(f1634,definition,
    ( spl125_37
  <=> cC180(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_37])],[avatar_definition]) ).

fof(f1635,plain,
    ( cC180(iV21026)
    | ~ spl125_37 ),
    inference(avatar_component_clause,[],[f1634]) ).

fof(f1638,definition,
    ( spl125_38
  <=> cC154(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_38])],[avatar_definition]) ).

fof(f1639,plain,
    ( cC154(iV21026)
    | ~ spl125_38 ),
    inference(avatar_component_clause,[],[f1638]) ).

fof(f1642,definition,
    ( spl125_39
  <=> cC60(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_39])],[avatar_definition]) ).

fof(f1643,plain,
    ( cC60(iV21026)
    | ~ spl125_39 ),
    inference(avatar_component_clause,[],[f1642]) ).

fof(f1646,definition,
    ( spl125_40
  <=> cC22(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_40])],[avatar_definition]) ).

fof(f1647,plain,
    ( cC22(iV21026)
    | ~ spl125_40 ),
    inference(avatar_component_clause,[],[f1646]) ).

fof(f1650,definition,
    ( spl125_41
  <=> cC110(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_41])],[avatar_definition]) ).

fof(f1651,plain,
    ( cC110(iV21026)
    | ~ spl125_41 ),
    inference(avatar_component_clause,[],[f1650]) ).

fof(f1654,definition,
    ( spl125_42
  <=> cC158(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_42])],[avatar_definition]) ).

fof(f1655,plain,
    ( cC158(iV21026)
    | ~ spl125_42 ),
    inference(avatar_component_clause,[],[f1654]) ).

fof(f1658,definition,
    ( spl125_43
  <=> cC56(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_43])],[avatar_definition]) ).

fof(f1662,definition,
    ( spl125_44
  <=> cC58(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_44])],[avatar_definition]) ).

fof(f1663,plain,
    ( cC58(iV21026)
    | ~ spl125_44 ),
    inference(avatar_component_clause,[],[f1662]) ).

fof(f1666,definition,
    ( spl125_45
  <=> cowlThing(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_45])],[avatar_definition]) ).

fof(f1670,definition,
    ( spl125_46
  <=> cC90(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_46])],[avatar_definition]) ).

fof(f1671,plain,
    ( cC90(iV21026)
    | ~ spl125_46 ),
    inference(avatar_component_clause,[],[f1670]) ).

fof(f1674,definition,
    ( spl125_47
  <=> cC10(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_47])],[avatar_definition]) ).

fof(f1675,plain,
    ( cC10(iV21026)
    | ~ spl125_47 ),
    inference(avatar_component_clause,[],[f1674]) ).

fof(f1678,definition,
    ( spl125_48
  <=> cC136(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_48])],[avatar_definition]) ).

fof(f1682,definition,
    ( spl125_49
  <=> cC40(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_49])],[avatar_definition]) ).

fof(f1686,definition,
    ( spl125_50
  <=> cC108(iV21026) ),
    introduced(definition,[new_symbols(definition,[spl125_50])],[avatar_definition]) ).

fof(f1690,definition,
    ( spl125_51
  <=> xsd_string(sK124) ),
    introduced(definition,[new_symbols(definition,[spl125_51])],[avatar_definition]) ).

fof(f1691,plain,
    ( ~ xsd_string(sK124)
    | spl125_51 ),
    inference(avatar_component_clause,[],[f1690]) ).

fof(f1692,plain,
    ( xsd_string(sK124)
    | ~ spl125_51 ),
    inference(avatar_component_clause,[],[f1690]) ).

fof(f1694,definition,
    ( spl125_52
  <=> xsd_integer(sK124) ),
    introduced(definition,[new_symbols(definition,[spl125_52])],[avatar_definition]) ).

fof(f1695,plain,
    ( xsd_integer(sK124)
    | ~ spl125_52 ),
    inference(avatar_component_clause,[],[f1694]) ).

fof(f1696,plain,
    ( ~ xsd_integer(sK124)
    | spl125_52 ),
    inference(avatar_component_clause,[],[f1694]) ).

fof(f1698,definition,
    ( spl125_53
  <=> cowlNothing(sK123) ),
    introduced(definition,[new_symbols(definition,[spl125_53])],[avatar_definition]) ).

fof(f1700,plain,
    ( cowlNothing(sK123)
    | ~ spl125_53 ),
    inference(avatar_component_clause,[],[f1698]) ).

fof(f1702,definition,
    ( spl125_54
  <=> cowlThing(sK123) ),
    introduced(definition,[new_symbols(definition,[spl125_54])],[avatar_definition]) ).

fof(f1704,plain,
    ( ~ cowlThing(sK123)
    | spl125_54 ),
    inference(avatar_component_clause,[],[f1702]) ).

fof(f1705,plain,
    ( ~ spl125_1
    | ~ spl125_2
    | ~ spl125_3
    | ~ spl125_4
    | ~ spl125_5
    | ~ spl125_6
    | ~ spl125_7
    | ~ spl125_8
    | ~ spl125_9
    | ~ spl125_10
    | ~ spl125_11
    | ~ spl125_12
    | ~ spl125_13
    | ~ spl125_14
    | ~ spl125_15
    | ~ spl125_16
    | ~ spl125_17
    | ~ spl125_18
    | ~ spl125_19
    | ~ spl125_20
    | ~ spl125_21
    | ~ spl125_22
    | ~ spl125_23
    | ~ spl125_24
    | ~ spl125_25
    | ~ spl125_26
    | ~ spl125_27
    | ~ spl125_28
    | ~ spl125_29
    | ~ spl125_30
    | ~ spl125_31
    | ~ spl125_32
    | ~ spl125_33
    | ~ spl125_34
    | ~ spl125_35
    | ~ spl125_36
    | ~ spl125_37
    | ~ spl125_38
    | ~ spl125_39
    | ~ spl125_40
    | ~ spl125_41
    | ~ spl125_42
    | ~ spl125_43
    | ~ spl125_44
    | ~ spl125_45
    | ~ spl125_46
    | ~ spl125_47
    | ~ spl125_48
    | ~ spl125_49
    | ~ spl125_50
    | spl125_51
    | ~ spl125_52
    | spl125_53
    | ~ spl125_54 ),
    inference(avatar_split_clause,[],[f1487,f1702,f1698,f1694,f1690,f1686,f1682,f1678,f1674,f1670,f1666,f1662,f1658,f1654,f1650,f1646,f1642,f1638,f1634,f1630,f1626,f1622,f1618,f1614,f1610,f1606,f1602,f1598,f1594,f1590,f1586,f1582,f1578,f1574,f1570,f1566,f1562,f1558,f1554,f1550,f1546,f1542,f1538,f1534,f1530,f1526,f1522,f1518,f1514,f1510,f1506,f1502,f1498,f1494,f1490]) ).

fof(f1706,plain,
    ( ~ spl125_1
    | ~ spl125_2
    | ~ spl125_3
    | ~ spl125_4
    | ~ spl125_5
    | ~ spl125_6
    | ~ spl125_7
    | ~ spl125_8
    | ~ spl125_9
    | ~ spl125_10
    | ~ spl125_11
    | ~ spl125_12
    | ~ spl125_13
    | ~ spl125_14
    | ~ spl125_15
    | ~ spl125_16
    | ~ spl125_17
    | ~ spl125_18
    | ~ spl125_19
    | ~ spl125_20
    | ~ spl125_21
    | ~ spl125_22
    | ~ spl125_23
    | ~ spl125_24
    | ~ spl125_25
    | ~ spl125_26
    | ~ spl125_27
    | ~ spl125_28
    | ~ spl125_29
    | ~ spl125_30
    | ~ spl125_31
    | ~ spl125_32
    | ~ spl125_33
    | ~ spl125_34
    | ~ spl125_35
    | ~ spl125_36
    | ~ spl125_37
    | ~ spl125_38
    | ~ spl125_39
    | ~ spl125_40
    | ~ spl125_41
    | ~ spl125_42
    | ~ spl125_43
    | ~ spl125_44
    | ~ spl125_45
    | ~ spl125_46
    | ~ spl125_47
    | ~ spl125_48
    | ~ spl125_49
    | ~ spl125_50
    | ~ spl125_51
    | spl125_52
    | spl125_53
    | ~ spl125_54 ),
    inference(avatar_split_clause,[],[f1488,f1702,f1698,f1694,f1690,f1686,f1682,f1678,f1674,f1670,f1666,f1662,f1658,f1654,f1650,f1646,f1642,f1638,f1634,f1630,f1626,f1622,f1618,f1614,f1610,f1606,f1602,f1598,f1594,f1590,f1586,f1582,f1578,f1574,f1570,f1566,f1562,f1558,f1554,f1550,f1546,f1542,f1538,f1534,f1530,f1526,f1522,f1518,f1514,f1510,f1506,f1502,f1498,f1494,f1490]) ).

fof(f1707,plain,
    spl125_1,
    inference(avatar_split_clause,[],[f1451,f1490]) ).

fof(f1708,plain,
    spl125_4,
    inference(avatar_split_clause,[],[f1423,f1502]) ).

fof(f1709,plain,
    spl125_8,
    inference(avatar_split_clause,[],[f1393,f1518]) ).

fof(f1710,plain,
    spl125_45,
    inference(avatar_split_clause,[],[f1364,f1666]) ).

fof(f1712,plain,
    cC114(iV21026),
    inference(resolution,[],[f942,f1335]) ).

fof(f1713,plain,
    spl125_33,
    inference(avatar_split_clause,[],[f1712,f1618]) ).

fof(f1715,plain,
    cC136(iV21026),
    inference(resolution,[],[f999,f1335]) ).

fof(f1716,plain,
    spl125_48,
    inference(avatar_split_clause,[],[f1715,f1678]) ).

fof(f1718,plain,
    cC40(iV21026),
    inference(resolution,[],[f1184,f1335]) ).

fof(f1719,plain,
    spl125_49,
    inference(avatar_split_clause,[],[f1718,f1682]) ).

fof(f1721,plain,
    cC62(iV21026),
    inference(resolution,[],[f1241,f1335]) ).

fof(f1722,plain,
    spl125_27,
    inference(avatar_split_clause,[],[f1721,f1594]) ).

fof(f1724,plain,
    cC84(iV21026),
    inference(resolution,[],[f1298,f1335]) ).

fof(f1725,plain,
    spl125_31,
    inference(avatar_split_clause,[],[f1724,f1610]) ).

fof(f1727,plain,
    cC88(iV21026),
    inference(resolution,[],[f1303,f1335]) ).

fof(f1728,plain,
    spl125_17,
    inference(avatar_split_clause,[],[f1727,f1554]) ).

fof(f1730,plain,
    cC180(iV21026),
    inference(resolution,[],[f1330,f1366]) ).

fof(f1731,plain,
    spl125_37,
    inference(avatar_split_clause,[],[f1730,f1634]) ).

fof(f1732,plain,
    ( cC174(iV21026)
    | ~ spl125_37 ),
    inference(resolution,[],[f1635,f1123]) ).

fof(f1734,plain,
    ( spl125_28
    | ~ spl125_37 ),
    inference(avatar_split_clause,[],[f1732,f1634,f1598]) ).

fof(f1736,plain,
    ( cC168(iV21026)
    | ~ spl125_28 ),
    inference(resolution,[],[f1599,f1103]) ).

fof(f1737,plain,
    ( spl125_15
    | ~ spl125_28 ),
    inference(avatar_split_clause,[],[f1736,f1598,f1546]) ).

fof(f1740,plain,
    cC158(iV21026),
    inference(resolution,[],[f1331,f1366]) ).

fof(f1741,plain,
    spl125_42,
    inference(avatar_split_clause,[],[f1740,f1654]) ).

fof(f1742,plain,
    ( cC22(iV21026)
    | ~ spl125_42 ),
    inference(resolution,[],[f1655,f1056]) ).

fof(f1743,plain,
    ( cC156(iV21026)
    | ~ spl125_42 ),
    inference(resolution,[],[f1655,f1055]) ).

fof(f1744,plain,
    ( spl125_11
    | ~ spl125_42 ),
    inference(avatar_split_clause,[],[f1743,f1654,f1530]) ).

fof(f1745,plain,
    ( spl125_40
    | ~ spl125_42 ),
    inference(avatar_split_clause,[],[f1742,f1654,f1646]) ).

fof(f1746,plain,
    ( cC154(iV21026)
    | ~ spl125_11 ),
    inference(resolution,[],[f1531,f1053]) ).

fof(f1747,plain,
    ( cC138(iV21026)
    | ~ spl125_11 ),
    inference(resolution,[],[f1531,f1052]) ).

fof(f1748,plain,
    ( spl125_29
    | ~ spl125_11 ),
    inference(avatar_split_clause,[],[f1747,f1530,f1602]) ).

fof(f1749,plain,
    ( spl125_38
    | ~ spl125_11 ),
    inference(avatar_split_clause,[],[f1746,f1530,f1638]) ).

fof(f1751,plain,
    ( cC134(iV21026)
    | ~ spl125_29 ),
    inference(resolution,[],[f1603,f1000]) ).

fof(f1752,plain,
    ( spl125_13
    | ~ spl125_29 ),
    inference(avatar_split_clause,[],[f1751,f1602,f1538]) ).

fof(f1753,plain,
    ( cC116(iV21026)
    | ~ spl125_13 ),
    inference(resolution,[],[f1539,f996]) ).

fof(f1754,plain,
    ( cC132(iV21026)
    | ~ spl125_13 ),
    inference(resolution,[],[f1539,f995]) ).

fof(f1755,plain,
    ( spl125_34
    | ~ spl125_13 ),
    inference(avatar_split_clause,[],[f1754,f1538,f1622]) ).

fof(f1756,plain,
    ( spl125_22
    | ~ spl125_13 ),
    inference(avatar_split_clause,[],[f1753,f1538,f1574]) ).

fof(f1758,plain,
    ( cC112(iV21026)
    | ~ spl125_22 ),
    inference(resolution,[],[f1575,f943]) ).

fof(f1759,plain,
    ( spl125_24
    | ~ spl125_22 ),
    inference(avatar_split_clause,[],[f1758,f1574,f1582]) ).

fof(f1760,plain,
    ( cC110(iV21026)
    | ~ spl125_24 ),
    inference(resolution,[],[f1583,f939]) ).

fof(f1761,plain,
    ( cC90(iV21026)
    | ~ spl125_24 ),
    inference(resolution,[],[f1583,f938]) ).

fof(f1762,plain,
    ( spl125_46
    | ~ spl125_24 ),
    inference(avatar_split_clause,[],[f1761,f1582,f1670]) ).

fof(f1763,plain,
    ( spl125_41
    | ~ spl125_24 ),
    inference(avatar_split_clause,[],[f1760,f1582,f1650]) ).

fof(f1764,plain,
    ( cC130(iV21026)
    | ~ spl125_34 ),
    inference(resolution,[],[f1623,f993]) ).

fof(f1766,plain,
    ( spl125_16
    | ~ spl125_34 ),
    inference(avatar_split_clause,[],[f1764,f1622,f1550]) ).

fof(f1769,plain,
    ( cC152(iV21026)
    | ~ spl125_38 ),
    inference(resolution,[],[f1639,f1050]) ).

fof(f1771,plain,
    ( spl125_19
    | ~ spl125_38 ),
    inference(avatar_split_clause,[],[f1769,f1638,f1562]) ).

fof(f1774,plain,
    ( cC20(iV21026)
    | ~ spl125_40 ),
    inference(resolution,[],[f1647,f1132]) ).

fof(f1775,plain,
    ( cC16(iV21026)
    | ~ spl125_40 ),
    inference(resolution,[],[f1647,f1131]) ).

fof(f1776,plain,
    ( spl125_35
    | ~ spl125_40 ),
    inference(avatar_split_clause,[],[f1775,f1646,f1626]) ).

fof(f1777,plain,
    ( spl125_32
    | ~ spl125_40 ),
    inference(avatar_split_clause,[],[f1774,f1646,f1614]) ).

fof(f1778,plain,
    ( cC10(iV21026)
    | ~ spl125_35 ),
    inference(resolution,[],[f1627,f1059]) ).

fof(f1779,plain,
    ( cC14(iV21026)
    | ~ spl125_35 ),
    inference(resolution,[],[f1627,f1058]) ).

fof(f1780,plain,
    ( spl125_20
    | ~ spl125_35 ),
    inference(avatar_split_clause,[],[f1779,f1626,f1566]) ).

fof(f1781,plain,
    ( spl125_47
    | ~ spl125_35 ),
    inference(avatar_split_clause,[],[f1778,f1626,f1674]) ).

fof(f1782,plain,
    ( cC108(iV21026)
    | ~ spl125_41 ),
    inference(resolution,[],[f1651,f936]) ).

fof(f1784,plain,
    ( spl125_50
    | ~ spl125_41 ),
    inference(avatar_split_clause,[],[f1782,f1650,f1686]) ).

fof(f1785,plain,
    ( cC86(iV21026)
    | ~ spl125_46 ),
    inference(resolution,[],[f1671,f1305]) ).

fof(f1787,plain,
    ( spl125_10
    | ~ spl125_46 ),
    inference(avatar_split_clause,[],[f1785,f1670,f1526]) ).

fof(f1788,plain,
    ( cC82(iV21026)
    | ~ spl125_10 ),
    inference(resolution,[],[f1527,f1300]) ).

fof(f1790,plain,
    ( spl125_21
    | ~ spl125_10 ),
    inference(avatar_split_clause,[],[f1788,f1526,f1570]) ).

fof(f1791,plain,
    ( cC64(iV21026)
    | ~ spl125_21 ),
    inference(resolution,[],[f1571,f1295]) ).

fof(f1792,plain,
    ( cC80(iV21026)
    | ~ spl125_21 ),
    inference(resolution,[],[f1571,f1294]) ).

fof(f1793,plain,
    ( spl125_18
    | ~ spl125_21 ),
    inference(avatar_split_clause,[],[f1792,f1570,f1558]) ).

fof(f1794,plain,
    ( spl125_23
    | ~ spl125_21 ),
    inference(avatar_split_clause,[],[f1791,f1570,f1578]) ).

fof(f1795,plain,
    ( cC78(iV21026)
    | ~ spl125_18 ),
    inference(resolution,[],[f1559,f1292]) ).

fof(f1797,plain,
    ( spl125_36
    | ~ spl125_18 ),
    inference(avatar_split_clause,[],[f1795,f1558,f1630]) ).

fof(f1798,plain,
    ( cC60(iV21026)
    | ~ spl125_23 ),
    inference(resolution,[],[f1579,f1243]) ).

fof(f1800,plain,
    ( spl125_39
    | ~ spl125_23 ),
    inference(avatar_split_clause,[],[f1798,f1578,f1642]) ).

fof(f1803,plain,
    ( cC58(iV21026)
    | ~ spl125_39 ),
    inference(resolution,[],[f1643,f1238]) ).

fof(f1804,plain,
    ( cC42(iV21026)
    | ~ spl125_39 ),
    inference(resolution,[],[f1643,f1237]) ).

fof(f1805,plain,
    ( spl125_12
    | ~ spl125_39 ),
    inference(avatar_split_clause,[],[f1804,f1642,f1534]) ).

fof(f1806,plain,
    ( spl125_44
    | ~ spl125_39 ),
    inference(avatar_split_clause,[],[f1803,f1642,f1662]) ).

fof(f1808,plain,
    ( cC38(iV21026)
    | ~ spl125_12 ),
    inference(resolution,[],[f1535,f1185]) ).

fof(f1809,plain,
    ( spl125_30
    | ~ spl125_12 ),
    inference(avatar_split_clause,[],[f1808,f1534,f1606]) ).

fof(f1810,plain,
    ( cC36(iV21026)
    | ~ spl125_30 ),
    inference(resolution,[],[f1607,f1178]) ).

fof(f1812,plain,
    ( spl125_25
    | ~ spl125_30 ),
    inference(avatar_split_clause,[],[f1810,f1606,f1586]) ).

fof(f1815,plain,
    ( cC56(iV21026)
    | ~ spl125_44 ),
    inference(resolution,[],[f1663,f1232]) ).

fof(f1817,plain,
    ( spl125_43
    | ~ spl125_44 ),
    inference(avatar_split_clause,[],[f1815,f1662,f1658]) ).

fof(f1820,plain,
    ( cC8(iV21026)
    | ~ spl125_47 ),
    inference(resolution,[],[f1675,f907]) ).

fof(f1821,plain,
    ( cC4(iV21026)
    | ~ spl125_47 ),
    inference(resolution,[],[f1675,f906]) ).

fof(f1822,plain,
    ( spl125_14
    | ~ spl125_47 ),
    inference(avatar_split_clause,[],[f1821,f1674,f1542]) ).

fof(f1823,plain,
    ( spl125_26
    | ~ spl125_47 ),
    inference(avatar_split_clause,[],[f1820,f1674,f1590]) ).

fof(f1875,plain,
    ! [X0] : ~ ra_Px87(iV21030,X0),
    inference(resolution,[],[f1277,f1452]) ).

fof(f2251,plain,
    ! [X0] :
      ( ~ cC18xcomp(X0)
      | cC74(X0)
      | ra_Px24(X0,sK109(X0)) ),
    inference(resolution,[],[f1274,f1271]) ).

fof(f2342,plain,
    ! [X0] :
      ( ~ rR1(X0,iV21036)
      | cC24(X0) ),
    inference(resolution,[],[f1138,f1482]) ).

fof(f2349,plain,
    ! [X0] :
      ( ~ rR1(X0,iV21035)
      | cC30(X0) ),
    inference(resolution,[],[f1158,f1476]) ).

fof(f2365,plain,
    ! [X0] :
      ( ~ rR1(X0,iV21034)
      | cC44(X0) ),
    inference(resolution,[],[f1192,f1470]) ).

fof(f2372,plain,
    ! [X0] :
      ( ~ rR1(X0,iV21033)
      | cC50(X0) ),
    inference(resolution,[],[f1210,f1464]) ).

fof(f2380,plain,
    ! [X0] :
      ( ~ rR1(X0,iV21032)
      | cC66(X0) ),
    inference(resolution,[],[f1249,f1457]) ).

fof(f2441,plain,
    cC24(iV21027),
    inference(resolution,[],[f2342,f1397]) ).

fof(f2442,plain,
    spl125_7,
    inference(avatar_split_clause,[],[f2441,f1514]) ).

fof(f2465,plain,
    cC30(iV21027),
    inference(resolution,[],[f2349,f1398]) ).

fof(f2466,plain,
    spl125_9,
    inference(avatar_split_clause,[],[f2465,f1522]) ).

fof(f2497,plain,
    cC44(iV21029),
    inference(resolution,[],[f2365,f1426]) ).

fof(f2498,plain,
    spl125_5,
    inference(avatar_split_clause,[],[f2497,f1506]) ).

fof(f2518,plain,
    cC50(iV21029),
    inference(resolution,[],[f2372,f1427]) ).

fof(f2519,plain,
    spl125_6,
    inference(avatar_split_clause,[],[f2518,f1510]) ).

fof(f2539,plain,
    cC66(iV21030),
    inference(resolution,[],[f2380,f1454]) ).

fof(f2540,plain,
    ( $false
    | spl125_2 ),
    inference(forward_subsumption_resolution,[],[f2539,f1496]) ).

fof(f2541,plain,
    spl125_2,
    inference(avatar_contradiction_clause,[],[f2540]) ).

fof(f3052,plain,
    ( cC74(iV21030)
    | ra_Px24(iV21030,sK109(iV21030)) ),
    inference(resolution,[],[f2251,f1438]) ).

fof(f3066,definition,
    ( spl125_102
  <=> ra_Px24(iV21030,sK109(iV21030)) ),
    introduced(definition,[new_symbols(definition,[spl125_102])],[avatar_definition]) ).

fof(f3068,plain,
    ( ra_Px24(iV21030,sK109(iV21030))
    | ~ spl125_102 ),
    inference(avatar_component_clause,[],[f3066]) ).

fof(f3070,definition,
    ( spl125_103
  <=> cC74(iV21030) ),
    introduced(definition,[new_symbols(definition,[spl125_103])],[avatar_definition]) ).

fof(f3072,plain,
    ( cC74(iV21030)
    | ~ spl125_103 ),
    inference(avatar_component_clause,[],[f3070]) ).

fof(f3073,plain,
    ( spl125_102
    | spl125_103 ),
    inference(avatar_split_clause,[],[f3052,f3070,f3066]) ).

fof(f6084,plain,
    ( cC72(iV21030)
    | ~ spl125_102 ),
    inference(resolution,[],[f3068,f1266]) ).

fof(f6085,plain,
    ( $false
    | spl125_3
    | ~ spl125_102 ),
    inference(forward_subsumption_resolution,[],[f6084,f1500]) ).

fof(f6086,plain,
    ( spl125_3
    | ~ spl125_102 ),
    inference(avatar_contradiction_clause,[],[f6085]) ).

fof(f6091,plain,
    ( ra_Px87(iV21030,sK110(iV21030))
    | ~ spl125_103 ),
    inference(resolution,[],[f3072,f1275]) ).

fof(f6094,plain,
    ( $false
    | ~ spl125_103 ),
    inference(forward_subsumption_resolution,[],[f6091,f1875]) ).

fof(f6095,plain,
    ~ spl125_103,
    inference(avatar_contradiction_clause,[],[f6094]) ).

fof(f6096,plain,
    ( $false
    | spl125_54 ),
    inference(forward_subsumption_resolution,[],[f1704,f903]) ).

fof(f6097,plain,
    spl125_54,
    inference(avatar_contradiction_clause,[],[f6096]) ).

fof(f6101,plain,
    ( xsd_string(sK124)
    | spl125_52 ),
    inference(resolution,[],[f1696,f905]) ).

fof(f6102,plain,
    ( $false
    | spl125_51
    | spl125_52 ),
    inference(forward_subsumption_resolution,[],[f6101,f1691]) ).

fof(f6103,plain,
    ( spl125_51
    | spl125_52 ),
    inference(avatar_contradiction_clause,[],[f6102]) ).

fof(f6104,plain,
    ( ~ xsd_string(sK124)
    | ~ spl125_52 ),
    inference(resolution,[],[f1695,f904]) ).

fof(f6105,plain,
    ( $false
    | ~ spl125_51
    | ~ spl125_52 ),
    inference(forward_subsumption_resolution,[],[f6104,f1692]) ).

fof(f6106,plain,
    ( ~ spl125_51
    | ~ spl125_52 ),
    inference(avatar_contradiction_clause,[],[f6105]) ).

fof(f6107,plain,
    ( $false
    | ~ spl125_53 ),
    inference(forward_subsumption_resolution,[],[f1700,f902]) ).

fof(f6108,plain,
    ~ spl125_53,
    inference(avatar_contradiction_clause,[],[f6107]) ).

cnf(s1,plain,
    ( ~ spl125_1
    | ~ spl125_2
    | ~ spl125_3
    | ~ spl125_4
    | ~ spl125_5
    | ~ spl125_6
    | ~ spl125_7
    | ~ spl125_8
    | ~ spl125_9
    | ~ spl125_10
    | ~ spl125_11
    | ~ spl125_12
    | ~ spl125_13
    | ~ spl125_14
    | ~ spl125_15
    | ~ spl125_16
    | ~ spl125_17
    | ~ spl125_18
    | ~ spl125_19
    | ~ spl125_20
    | ~ spl125_21
    | ~ spl125_22
    | ~ spl125_23
    | ~ spl125_24
    | ~ spl125_25
    | ~ spl125_26
    | ~ spl125_27
    | ~ spl125_28
    | ~ spl125_29
    | ~ spl125_30
    | ~ spl125_31
    | ~ spl125_32
    | ~ spl125_33
    | ~ spl125_34
    | ~ spl125_35
    | ~ spl125_36
    | ~ spl125_37
    | ~ spl125_38
    | ~ spl125_39
    | ~ spl125_40
    | ~ spl125_41
    | ~ spl125_42
    | ~ spl125_43
    | ~ spl125_44
    | ~ spl125_45
    | ~ spl125_46
    | ~ spl125_47
    | ~ spl125_48
    | ~ spl125_49
    | ~ spl125_50
    | spl125_51
    | ~ spl125_52
    | spl125_53
    | ~ spl125_54 ),
    inference(sat_conversion,[],[f1705]) ).

cnf(s2,plain,
    ( ~ spl125_1
    | ~ spl125_2
    | ~ spl125_3
    | ~ spl125_4
    | ~ spl125_5
    | ~ spl125_6
    | ~ spl125_7
    | ~ spl125_8
    | ~ spl125_9
    | ~ spl125_10
    | ~ spl125_11
    | ~ spl125_12
    | ~ spl125_13
    | ~ spl125_14
    | ~ spl125_15
    | ~ spl125_16
    | ~ spl125_17
    | ~ spl125_18
    | ~ spl125_19
    | ~ spl125_20
    | ~ spl125_21
    | ~ spl125_22
    | ~ spl125_23
    | ~ spl125_24
    | ~ spl125_25
    | ~ spl125_26
    | ~ spl125_27
    | ~ spl125_28
    | ~ spl125_29
    | ~ spl125_30
    | ~ spl125_31
    | ~ spl125_32
    | ~ spl125_33
    | ~ spl125_34
    | ~ spl125_35
    | ~ spl125_36
    | ~ spl125_37
    | ~ spl125_38
    | ~ spl125_39
    | ~ spl125_40
    | ~ spl125_41
    | ~ spl125_42
    | ~ spl125_43
    | ~ spl125_44
    | ~ spl125_45
    | ~ spl125_46
    | ~ spl125_47
    | ~ spl125_48
    | ~ spl125_49
    | ~ spl125_50
    | ~ spl125_51
    | spl125_52
    | spl125_53
    | ~ spl125_54 ),
    inference(sat_conversion,[],[f1706]) ).

cnf(s3,plain,
    spl125_1,
    inference(sat_conversion,[],[f1707]) ).

cnf(s4,plain,
    spl125_4,
    inference(sat_conversion,[],[f1708]) ).

cnf(s5,plain,
    spl125_8,
    inference(sat_conversion,[],[f1709]) ).

cnf(s6,plain,
    spl125_45,
    inference(sat_conversion,[],[f1710]) ).

cnf(s7,plain,
    spl125_33,
    inference(sat_conversion,[],[f1713]) ).

cnf(s8,plain,
    spl125_48,
    inference(sat_conversion,[],[f1716]) ).

cnf(s9,plain,
    spl125_49,
    inference(sat_conversion,[],[f1719]) ).

cnf(s10,plain,
    spl125_27,
    inference(sat_conversion,[],[f1722]) ).

cnf(s11,plain,
    spl125_31,
    inference(sat_conversion,[],[f1725]) ).

cnf(s12,plain,
    spl125_17,
    inference(sat_conversion,[],[f1728]) ).

cnf(s13,plain,
    spl125_37,
    inference(sat_conversion,[],[f1731]) ).

cnf(s14,plain,
    ( spl125_28
    | ~ spl125_37 ),
    inference(sat_conversion,[],[f1734]) ).

cnf(s15,plain,
    ( spl125_15
    | ~ spl125_28 ),
    inference(sat_conversion,[],[f1737]) ).

cnf(s16,plain,
    spl125_42,
    inference(sat_conversion,[],[f1741]) ).

cnf(s17,plain,
    ( spl125_11
    | ~ spl125_42 ),
    inference(sat_conversion,[],[f1744]) ).

cnf(s18,plain,
    ( spl125_40
    | ~ spl125_42 ),
    inference(sat_conversion,[],[f1745]) ).

cnf(s19,plain,
    ( ~ spl125_11
    | spl125_29 ),
    inference(sat_conversion,[],[f1748]) ).

cnf(s20,plain,
    ( ~ spl125_11
    | spl125_38 ),
    inference(sat_conversion,[],[f1749]) ).

cnf(s21,plain,
    ( spl125_13
    | ~ spl125_29 ),
    inference(sat_conversion,[],[f1752]) ).

cnf(s22,plain,
    ( ~ spl125_13
    | spl125_34 ),
    inference(sat_conversion,[],[f1755]) ).

cnf(s23,plain,
    ( ~ spl125_13
    | spl125_22 ),
    inference(sat_conversion,[],[f1756]) ).

cnf(s24,plain,
    ( ~ spl125_22
    | spl125_24 ),
    inference(sat_conversion,[],[f1759]) ).

cnf(s25,plain,
    ( ~ spl125_24
    | spl125_46 ),
    inference(sat_conversion,[],[f1762]) ).

cnf(s26,plain,
    ( ~ spl125_24
    | spl125_41 ),
    inference(sat_conversion,[],[f1763]) ).

cnf(s27,plain,
    ( spl125_16
    | ~ spl125_34 ),
    inference(sat_conversion,[],[f1766]) ).

cnf(s28,plain,
    ( spl125_19
    | ~ spl125_38 ),
    inference(sat_conversion,[],[f1771]) ).

cnf(s29,plain,
    ( spl125_35
    | ~ spl125_40 ),
    inference(sat_conversion,[],[f1776]) ).

cnf(s30,plain,
    ( spl125_32
    | ~ spl125_40 ),
    inference(sat_conversion,[],[f1777]) ).

cnf(s31,plain,
    ( spl125_20
    | ~ spl125_35 ),
    inference(sat_conversion,[],[f1780]) ).

cnf(s32,plain,
    ( ~ spl125_35
    | spl125_47 ),
    inference(sat_conversion,[],[f1781]) ).

cnf(s33,plain,
    ( ~ spl125_41
    | spl125_50 ),
    inference(sat_conversion,[],[f1784]) ).

cnf(s34,plain,
    ( spl125_10
    | ~ spl125_46 ),
    inference(sat_conversion,[],[f1787]) ).

cnf(s35,plain,
    ( ~ spl125_10
    | spl125_21 ),
    inference(sat_conversion,[],[f1790]) ).

cnf(s36,plain,
    ( spl125_18
    | ~ spl125_21 ),
    inference(sat_conversion,[],[f1793]) ).

cnf(s37,plain,
    ( ~ spl125_21
    | spl125_23 ),
    inference(sat_conversion,[],[f1794]) ).

cnf(s38,plain,
    ( ~ spl125_18
    | spl125_36 ),
    inference(sat_conversion,[],[f1797]) ).

cnf(s39,plain,
    ( ~ spl125_23
    | spl125_39 ),
    inference(sat_conversion,[],[f1800]) ).

cnf(s40,plain,
    ( spl125_12
    | ~ spl125_39 ),
    inference(sat_conversion,[],[f1805]) ).

cnf(s41,plain,
    ( ~ spl125_39
    | spl125_44 ),
    inference(sat_conversion,[],[f1806]) ).

cnf(s42,plain,
    ( ~ spl125_12
    | spl125_30 ),
    inference(sat_conversion,[],[f1809]) ).

cnf(s43,plain,
    ( spl125_25
    | ~ spl125_30 ),
    inference(sat_conversion,[],[f1812]) ).

cnf(s44,plain,
    ( spl125_43
    | ~ spl125_44 ),
    inference(sat_conversion,[],[f1817]) ).

cnf(s45,plain,
    ( spl125_14
    | ~ spl125_47 ),
    inference(sat_conversion,[],[f1822]) ).

cnf(s46,plain,
    ( spl125_26
    | ~ spl125_47 ),
    inference(sat_conversion,[],[f1823]) ).

cnf(s47,plain,
    spl125_7,
    inference(sat_conversion,[],[f2442]) ).

cnf(s48,plain,
    spl125_9,
    inference(sat_conversion,[],[f2466]) ).

cnf(s49,plain,
    spl125_5,
    inference(sat_conversion,[],[f2498]) ).

cnf(s50,plain,
    spl125_6,
    inference(sat_conversion,[],[f2519]) ).

cnf(s51,plain,
    spl125_2,
    inference(sat_conversion,[],[f2541]) ).

cnf(s80,plain,
    ( spl125_102
    | spl125_103 ),
    inference(sat_conversion,[],[f3073]) ).

cnf(s367,plain,
    ( spl125_3
    | ~ spl125_102 ),
    inference(sat_conversion,[],[f6086]) ).

cnf(s368,plain,
    ~ spl125_103,
    inference(sat_conversion,[],[f6095]) ).

cnf(s369,plain,
    spl125_54,
    inference(sat_conversion,[],[f6097]) ).

cnf(s370,plain,
    ( spl125_51
    | spl125_52 ),
    inference(sat_conversion,[],[f6103]) ).

cnf(s371,plain,
    ( ~ spl125_51
    | ~ spl125_52 ),
    inference(sat_conversion,[],[f6106]) ).

cnf(s372,plain,
    ~ spl125_53,
    inference(sat_conversion,[],[f6108]) ).

cnf(s418,plain,
    spl125_102,
    inference(rat,[],[s80,s368]) ).

cnf(s419,plain,
    spl125_3,
    inference(rat,[],[s367,s418]) ).

cnf(s430,plain,
    spl125_40,
    inference(rat,[],[s18,s16]) ).

cnf(s431,plain,
    spl125_11,
    inference(rat,[],[s17,s16]) ).

cnf(s432,plain,
    spl125_32,
    inference(rat,[],[s30,s430]) ).

cnf(s433,plain,
    spl125_35,
    inference(rat,[],[s29,s430]) ).

cnf(s434,plain,
    spl125_38,
    inference(rat,[],[s20,s431]) ).

cnf(s435,plain,
    spl125_29,
    inference(rat,[],[s19,s431]) ).

cnf(s437,plain,
    spl125_47,
    inference(rat,[],[s32,s433]) ).

cnf(s438,plain,
    spl125_20,
    inference(rat,[],[s31,s433]) ).

cnf(s439,plain,
    spl125_19,
    inference(rat,[],[s28,s434]) ).

cnf(s440,plain,
    spl125_13,
    inference(rat,[],[s21,s435]) ).

cnf(s442,plain,
    spl125_26,
    inference(rat,[],[s46,s437]) ).

cnf(s443,plain,
    spl125_14,
    inference(rat,[],[s45,s437]) ).

cnf(s445,plain,
    spl125_22,
    inference(rat,[],[s23,s440]) ).

cnf(s446,plain,
    spl125_34,
    inference(rat,[],[s22,s440]) ).

cnf(s473,plain,
    spl125_24,
    inference(rat,[],[s24,s445]) ).

cnf(s474,plain,
    spl125_16,
    inference(rat,[],[s27,s446]) ).

cnf(s475,plain,
    spl125_41,
    inference(rat,[],[s26,s473]) ).

cnf(s476,plain,
    spl125_46,
    inference(rat,[],[s25,s473]) ).

cnf(s477,plain,
    spl125_50,
    inference(rat,[],[s33,s475]) ).

cnf(s478,plain,
    spl125_10,
    inference(rat,[],[s34,s476]) ).

cnf(s479,plain,
    spl125_21,
    inference(rat,[],[s35,s478]) ).

cnf(s480,plain,
    spl125_23,
    inference(rat,[],[s37,s479]) ).

cnf(s481,plain,
    spl125_18,
    inference(rat,[],[s36,s479]) ).

cnf(s482,plain,
    spl125_39,
    inference(rat,[],[s39,s480]) ).

cnf(s483,plain,
    spl125_36,
    inference(rat,[],[s38,s481]) ).

cnf(s484,plain,
    spl125_44,
    inference(rat,[],[s41,s482]) ).

cnf(s485,plain,
    spl125_12,
    inference(rat,[],[s40,s482]) ).

cnf(s486,plain,
    spl125_43,
    inference(rat,[],[s44,s484]) ).

cnf(s487,plain,
    spl125_30,
    inference(rat,[],[s42,s485]) ).

cnf(s488,plain,
    spl125_25,
    inference(rat,[],[s43,s487]) ).

cnf(s489,plain,
    spl125_28,
    inference(rat,[],[s14,s13]) ).

cnf(s490,plain,
    spl125_15,
    inference(rat,[],[s15,s489]) ).

cnf(s491,plain,
    ( ~ spl125_51
    | spl125_52 ),
    inference(rat,[],[s2,s369,s372,s477,s9,s8,s437,s476,s6,s484,s486,s16,s475,s430,s482,s434,s13,s483,s433,s446,s7,s432,s11,s487,s435,s489,s10,s442,s488,s473,s480,s445,s479,s438,s439,s481,s12,s474,s490,s443,s440,s485,s431,s478,s48,s5,s47,s50,s49,s4,s419,s51,s3]) ).

cnf(s492,plain,
    ( spl125_51
    | ~ spl125_52 ),
    inference(rat,[],[s1,s369,s372,s477,s9,s8,s437,s476,s6,s484,s486,s16,s475,s430,s482,s434,s13,s483,s433,s446,s7,s432,s11,s487,s435,s489,s10,s442,s488,s473,s480,s445,s479,s438,s439,s481,s12,s474,s490,s443,s440,s485,s431,s478,s48,s5,s47,s50,s49,s4,s419,s51,s3]) ).

cnf(s493,plain,
    spl125_51,
    inference(rat,[],[s492,s370]) ).

cnf(s494,plain,
    ~ spl125_52,
    inference(rat,[],[s371,s493]) ).

cnf(s495,plain,
    $false,
    inference(rat,[],[s491,s494,s493]) ).

fof(f6109,plain,
    $false,
    inference(avatar_sat_refutation,[],[s495]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS159+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39  % Computer : n009.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Sun Sep 27 13:32:30 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42  Running first-order model finding
% 0.12/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50  % (2038725)Will run a generic schedule for satisfiability detection.
% 0.18/0.50  % (2038735)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2354053341:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.50  % (2038731)% WARNING: option uhcvi not known.
% 0.18/0.50  % (2038730)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1035128242_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.50  % (2038731)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3931331934:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.50  % (2038732)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3508149412:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.50  % (2038733)dis+10_1_sil=32000:sp=arity:random_seed=516230198:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.50  % (2038734)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1534149102:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.50  % (2038736)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1599368152:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.50  % (2038735) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2038725-2038735"...
% 0.18/0.50  % TRYING [1]
% 0.18/0.50  % TRYING [2]
% 0.18/0.50  % (2038735)...printing done.
% 0.18/0.50  % (2038735)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Theorem for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (2038735)------------------------------
% 0.18/0.51  % (2038735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.51  % (2038735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.51  % (2038735)CaDiCaL version: 2.1.3
% 0.18/0.51  % (2038735)Termination reason: Refutation
% 0.18/0.51  % (2038735)Time elapsed: 0.033 s
% 0.18/0.51  % (2038735)Peak memory usage: 15 MB
% 0.18/0.51  % (2038735)Instructions burned: 92 (million)
% 0.18/0.51  % (2038725)Success in time 0.074 s
% 0.18/0.51  % Vampire exiting
%------------------------------------------------------------------------------