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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : KRS161+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 : n001.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 0.16s 0.48s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :  118
% Syntax   : Number of formulae    :  420 ( 188 unt;  49 def)
%            Number of atoms       : 1158 (   0 equ)
%            Maximal formula atoms :   49 (   2 avg)
%            Number of connectives : 1235 ( 497   ~; 503   |; 160   &)
%                                         (  69 <=>;   5  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   51 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   94 (  93 usr;  50 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  15 con; 0-0 aty)
%            Number of variables   :   74 (   0 sgn  70   !;   4   ?)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f226,axiom,
    cTOP(iV16460),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_225) ).

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

fof(f229,axiom,
    cC36xcomp(iV16460),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_228) ).

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

fof(f235,axiom,
    cC40xcomp(iV16461),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_234) ).

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

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

fof(f248,axiom,
    cTOP(iV16462),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_247) ).

fof(f253,axiom,
    cC36xcomp(iV16462),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_252) ).

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

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

fof(f263,axiom,
    cC58xcomp(iV16463),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_262) ).

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

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

fof(f267,axiom,
    cC40xcomp(iV16464),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_266) ).

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

fof(f278,axiom,
    cTOP(iV16465),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_277) ).

fof(f283,axiom,
    cC36xcomp(iV16465),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_282) ).

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

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

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

fof(f290,plain,
    ! [X0] :
      ( cTEST(X0)
     => ( cC108(X0)
        & cC130(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f146]) ).

fof(f346,plain,
    ! [X0] :
      ( ( cC108(X0)
        & cC130(X0) )
      | ~ cTEST(X0) ),
    inference(ennf_transformation,[],[f290]) ).

fof(f347,plain,
    ! [X0] :
      ( cC98(X0)
      | ~ rR1(iV16439,X0) ),
    inference(ennf_transformation,[],[f147]) ).

fof(f349,plain,
    ! [X0] :
      ( cC76(X0)
      | ~ rR1(iV16440,X0) ),
    inference(ennf_transformation,[],[f157]) ).

fof(f355,plain,
    ! [X0] :
      ( cC56(X0)
      | ~ rR1(iV16453,X0) ),
    inference(ennf_transformation,[],[f179]) ).

fof(f379,plain,
    ! [X0] :
      ( cC56(X0)
      | ~ rR1(iV16463,X0) ),
    inference(ennf_transformation,[],[f262]) ).

fof(f388,plain,
    ( ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ~ cC130(iV16439)
    | ~ cC108(iV16439)
    | ~ cC104(iV16439)
    | ~ cC106(iV16439)
    | ~ cC28(iV16439)
    | ~ cowlThing(iV16439)
    | ~ cC98(iV16440)
    | ~ cC80(iV16440)
    | ~ cC82(iV16440)
    | ~ cowlThing(iV16440)
    | ~ cC38(iV16448)
    | ~ cowlThing(iV16448)
    | ~ cC76(iV16453)
    | ~ cC62(iV16453)
    | ~ cowlThing(iV16453)
    | ~ cC60(iV16453)
    | ~ cC56(iV16455)
    | ~ cC44(iV16455)
    | ~ cC42(iV16455)
    | ~ cowlThing(iV16455)
    | ~ cC38(iV16457)
    | ~ cowlThing(iV16457)
    | ~ cC50(iV16459)
    | ~ cC88(iV16459)
    | ~ cC34(iV16459)
    | ~ cC68(iV16459)
    | ~ cowlThing(iV16459)
    | ~ cC38(iV16460)
    | ~ cowlThing(iV16460)
    | ~ cC42(iV16461)
    | ~ cC56(iV16461)
    | ~ cC44(iV16461)
    | ~ cowlThing(iV16461)
    | ~ cC38(iV16462)
    | ~ cowlThing(iV16462)
    | ~ cC76(iV16463)
    | ~ cC62(iV16463)
    | ~ cowlThing(iV16463)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC42(iV16464)
    | ~ cC44(iV16464)
    | ~ cowlThing(iV16464)
    | ~ cC38(iV16465)
    | ~ cowlThing(iV16465) ),
    inference(ennf_transformation,[],[f289]) ).

fof(f389,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f390,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f391,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f392,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f412,plain,
    ! [X0] :
      ( ~ cC106(X0)
      | cC104(X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f414,plain,
    ! [X0] :
      ( ~ cC108(X0)
      | cC106(X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f415,plain,
    ! [X0] :
      ( ~ cC108(X0)
      | cC28(X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f510,plain,
    ! [X0] :
      ( ~ cC32xcomp(X0)
      | ~ cC30xcomp(X0)
      | cC34(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f522,plain,
    ! [X0] :
      ( ~ cTOP(X0)
      | ~ cC36xcomp(X0)
      | cC38(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f540,plain,
    ! [X0,X1] :
      ( cC42(X0)
      | ~ rR1(X0,X1)
      | ~ cC8xcomp(X1) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f541,plain,
    ! [X0] :
      ( ~ cC44(X0)
      | cC42(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f543,plain,
    ! [X0] :
      ( ~ cC40xcomp(X0)
      | ~ cC42(X0)
      | cC44(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f560,plain,
    ! [X0] :
      ( ~ cC48xcomp(X0)
      | ~ cC46xcomp(X0)
      | cC50(X0) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f578,plain,
    ! [X0] :
      ( cC44(X0)
      | ~ cC56(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f580,plain,
    ! [X0] :
      ( ~ cC54xcomp(X0)
      | ~ cC44(X0)
      | cC56(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f600,plain,
    ! [X0,X1] :
      ( cC60(X0)
      | ~ rR1(X0,X1)
      | ~ cC12xcomp(X1) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f602,plain,
    ! [X0] :
      ( ~ cC62(X0)
      | cC60(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f603,plain,
    ! [X0] :
      ( ~ cC58xcomp(X0)
      | ~ cC60(X0)
      | cC62(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f622,plain,
    ! [X0] :
      ( ~ cC66xcomp(X0)
      | ~ cC64xcomp(X0)
      | cC68(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f646,plain,
    ! [X0] :
      ( cC62(X0)
      | ~ cC76(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f648,plain,
    ! [X0] :
      ( ~ cC74xcomp(X0)
      | ~ cC62(X0)
      | cC76(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f666,plain,
    ! [X0] :
      ( ~ cC82(X0)
      | cC80(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f686,plain,
    ! [X0] :
      ( ~ cC86xcomp(X0)
      | ~ cC84xcomp(X0)
      | cC88(X0) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f716,plain,
    ! [X0] :
      ( cC82(X0)
      | ~ cC98(X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f721,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC130(X0) ),
    inference(cnf_transformation,[],[f346]) ).

fof(f722,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC108(X0) ),
    inference(cnf_transformation,[],[f346]) ).

fof(f723,plain,
    ! [X0] :
      ( cC98(X0)
      | ~ rR1(iV16439,X0) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f724,plain,
    cowlThing(iV16439),
    inference(cnf_transformation,[],[f148]) ).

fof(f726,plain,
    cTEST(iV16439),
    inference(cnf_transformation,[],[f150]) ).

fof(f727,plain,
    rR1(iV16439,iV16440),
    inference(cnf_transformation,[],[f151]) ).

fof(f730,plain,
    cowlThing(iV16440),
    inference(cnf_transformation,[],[f154]) ).

fof(f733,plain,
    ! [X0] :
      ( cC76(X0)
      | ~ rR1(iV16440,X0) ),
    inference(cnf_transformation,[],[f349]) ).

fof(f736,plain,
    rR1(iV16440,iV16463),
    inference(cnf_transformation,[],[f160]) ).

fof(f739,plain,
    cowlThing(iV16448),
    inference(cnf_transformation,[],[f163]) ).

fof(f740,plain,
    cTOP(iV16448),
    inference(cnf_transformation,[],[f164]) ).

fof(f745,plain,
    cC36xcomp(iV16448),
    inference(cnf_transformation,[],[f169]) ).

fof(f751,plain,
    cC74xcomp(iV16453),
    inference(cnf_transformation,[],[f175]) ).

fof(f752,plain,
    cowlThing(iV16453),
    inference(cnf_transformation,[],[f176]) ).

fof(f755,plain,
    ! [X0] :
      ( cC56(X0)
      | ~ rR1(iV16453,X0) ),
    inference(cnf_transformation,[],[f355]) ).

fof(f758,plain,
    cC58xcomp(iV16453),
    inference(cnf_transformation,[],[f182]) ).

fof(f759,plain,
    rR1(iV16453,iV16461),
    inference(cnf_transformation,[],[f183]) ).

fof(f761,plain,
    cowlThing(iV16455),
    inference(cnf_transformation,[],[f185]) ).

fof(f762,plain,
    cC40xcomp(iV16455),
    inference(cnf_transformation,[],[f186]) ).

fof(f767,plain,
    cC54xcomp(iV16455),
    inference(cnf_transformation,[],[f191]) ).

fof(f770,plain,
    rR1(iV16455,iV16460),
    inference(cnf_transformation,[],[f194]) ).

fof(f772,plain,
    cowlThing(iV16457),
    inference(cnf_transformation,[],[f196]) ).

fof(f774,plain,
    cTOP(iV16457),
    inference(cnf_transformation,[],[f198]) ).

fof(f778,plain,
    cC36xcomp(iV16457),
    inference(cnf_transformation,[],[f202]) ).

fof(f782,plain,
    cowlThing(iV16459),
    inference(cnf_transformation,[],[f206]) ).

fof(f786,plain,
    cC30xcomp(iV16459),
    inference(cnf_transformation,[],[f210]) ).

fof(f787,plain,
    cC84xcomp(iV16459),
    inference(cnf_transformation,[],[f211]) ).

fof(f789,plain,
    cC46xcomp(iV16459),
    inference(cnf_transformation,[],[f213]) ).

fof(f790,plain,
    cC64xcomp(iV16459),
    inference(cnf_transformation,[],[f214]) ).

fof(f792,plain,
    cC86xcomp(iV16459),
    inference(cnf_transformation,[],[f216]) ).

fof(f793,plain,
    cC32xcomp(iV16459),
    inference(cnf_transformation,[],[f217]) ).

fof(f794,plain,
    cC48xcomp(iV16459),
    inference(cnf_transformation,[],[f218]) ).

fof(f798,plain,
    cC66xcomp(iV16459),
    inference(cnf_transformation,[],[f222]) ).

fof(f800,plain,
    cowlThing(iV16460),
    inference(cnf_transformation,[],[f224]) ).

fof(f802,plain,
    cTOP(iV16460),
    inference(cnf_transformation,[],[f226]) ).

fof(f804,plain,
    cC8xcomp(iV16460),
    inference(cnf_transformation,[],[f228]) ).

fof(f805,plain,
    cC36xcomp(iV16460),
    inference(cnf_transformation,[],[f229]) ).

fof(f810,plain,
    cowlThing(iV16461),
    inference(cnf_transformation,[],[f234]) ).

fof(f811,plain,
    cC40xcomp(iV16461),
    inference(cnf_transformation,[],[f235]) ).

fof(f814,plain,
    cC12xcomp(iV16461),
    inference(cnf_transformation,[],[f238]) ).

fof(f823,plain,
    cowlThing(iV16462),
    inference(cnf_transformation,[],[f247]) ).

fof(f824,plain,
    cTOP(iV16462),
    inference(cnf_transformation,[],[f248]) ).

fof(f829,plain,
    cC36xcomp(iV16462),
    inference(cnf_transformation,[],[f253]) ).

fof(f833,plain,
    cowlThing(iV16463),
    inference(cnf_transformation,[],[f257]) ).

fof(f838,plain,
    ! [X0] :
      ( cC56(X0)
      | ~ rR1(iV16463,X0) ),
    inference(cnf_transformation,[],[f379]) ).

fof(f839,plain,
    cC58xcomp(iV16463),
    inference(cnf_transformation,[],[f263]) ).

fof(f840,plain,
    rR1(iV16463,iV16464),
    inference(cnf_transformation,[],[f264]) ).

fof(f841,plain,
    cowlThing(iV16464),
    inference(cnf_transformation,[],[f265]) ).

fof(f843,plain,
    cC40xcomp(iV16464),
    inference(cnf_transformation,[],[f267]) ).

fof(f853,plain,
    cowlThing(iV16465),
    inference(cnf_transformation,[],[f277]) ).

fof(f854,plain,
    cTOP(iV16465),
    inference(cnf_transformation,[],[f278]) ).

fof(f859,plain,
    cC36xcomp(iV16465),
    inference(cnf_transformation,[],[f283]) ).

fof(f863,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(sK105)
    | ~ xsd_string(sK105)
    | cowlNothing(sK106)
    | ~ cowlThing(sK106) ),
    inference(cnf_transformation,[],[f388]) ).

fof(f864,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(sK105)
    | xsd_string(sK105)
    | cowlNothing(sK106)
    | ~ cowlThing(sK106) ),
    inference(cnf_transformation,[],[f388]) ).

fof(f866,definition,
    ( spl107_1
  <=> cowlThing(sK106) ),
    introduced(definition,[new_symbols(definition,[spl107_1])],[avatar_definition]) ).

fof(f868,plain,
    ( ~ cowlThing(sK106)
    | spl107_1 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f870,definition,
    ( spl107_2
  <=> cowlNothing(sK106) ),
    introduced(definition,[new_symbols(definition,[spl107_2])],[avatar_definition]) ).

fof(f872,plain,
    ( cowlNothing(sK106)
    | ~ spl107_2 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f874,definition,
    ( spl107_3
  <=> xsd_string(sK105) ),
    introduced(definition,[new_symbols(definition,[spl107_3])],[avatar_definition]) ).

fof(f875,plain,
    ( xsd_string(sK105)
    | ~ spl107_3 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f876,plain,
    ( ~ xsd_string(sK105)
    | spl107_3 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f878,definition,
    ( spl107_4
  <=> xsd_integer(sK105) ),
    introduced(definition,[new_symbols(definition,[spl107_4])],[avatar_definition]) ).

fof(f879,plain,
    ( ~ xsd_integer(sK105)
    | spl107_4 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f880,plain,
    ( xsd_integer(sK105)
    | ~ spl107_4 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f882,definition,
    ( spl107_5
  <=> cC130(iV16439) ),
    introduced(definition,[new_symbols(definition,[spl107_5])],[avatar_definition]) ).

fof(f886,definition,
    ( spl107_6
  <=> cC108(iV16439) ),
    introduced(definition,[new_symbols(definition,[spl107_6])],[avatar_definition]) ).

fof(f887,plain,
    ( cC108(iV16439)
    | ~ spl107_6 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f888,plain,
    ( ~ cC108(iV16439)
    | spl107_6 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f890,definition,
    ( spl107_7
  <=> cC104(iV16439) ),
    introduced(definition,[new_symbols(definition,[spl107_7])],[avatar_definition]) ).

fof(f894,definition,
    ( spl107_8
  <=> cC106(iV16439) ),
    introduced(definition,[new_symbols(definition,[spl107_8])],[avatar_definition]) ).

fof(f895,plain,
    ( cC106(iV16439)
    | ~ spl107_8 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f896,plain,
    ( ~ cC106(iV16439)
    | spl107_8 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f898,definition,
    ( spl107_9
  <=> cC28(iV16439) ),
    introduced(definition,[new_symbols(definition,[spl107_9])],[avatar_definition]) ).

fof(f902,definition,
    ( spl107_10
  <=> cowlThing(iV16439) ),
    introduced(definition,[new_symbols(definition,[spl107_10])],[avatar_definition]) ).

fof(f906,definition,
    ( spl107_11
  <=> cC98(iV16440) ),
    introduced(definition,[new_symbols(definition,[spl107_11])],[avatar_definition]) ).

fof(f907,plain,
    ( cC98(iV16440)
    | ~ spl107_11 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f908,plain,
    ( ~ cC98(iV16440)
    | spl107_11 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f910,definition,
    ( spl107_12
  <=> cC80(iV16440) ),
    introduced(definition,[new_symbols(definition,[spl107_12])],[avatar_definition]) ).

fof(f914,definition,
    ( spl107_13
  <=> cC82(iV16440) ),
    introduced(definition,[new_symbols(definition,[spl107_13])],[avatar_definition]) ).

fof(f915,plain,
    ( cC82(iV16440)
    | ~ spl107_13 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f916,plain,
    ( ~ cC82(iV16440)
    | spl107_13 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f918,definition,
    ( spl107_14
  <=> cowlThing(iV16440) ),
    introduced(definition,[new_symbols(definition,[spl107_14])],[avatar_definition]) ).

fof(f922,definition,
    ( spl107_15
  <=> cC38(iV16448) ),
    introduced(definition,[new_symbols(definition,[spl107_15])],[avatar_definition]) ).

fof(f924,plain,
    ( ~ cC38(iV16448)
    | spl107_15 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f926,definition,
    ( spl107_16
  <=> cowlThing(iV16448) ),
    introduced(definition,[new_symbols(definition,[spl107_16])],[avatar_definition]) ).

fof(f930,definition,
    ( spl107_17
  <=> cC76(iV16453) ),
    introduced(definition,[new_symbols(definition,[spl107_17])],[avatar_definition]) ).

fof(f932,plain,
    ( ~ cC76(iV16453)
    | spl107_17 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f934,definition,
    ( spl107_18
  <=> cC62(iV16453) ),
    introduced(definition,[new_symbols(definition,[spl107_18])],[avatar_definition]) ).

fof(f935,plain,
    ( cC62(iV16453)
    | ~ spl107_18 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f936,plain,
    ( ~ cC62(iV16453)
    | spl107_18 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f938,definition,
    ( spl107_19
  <=> cowlThing(iV16453) ),
    introduced(definition,[new_symbols(definition,[spl107_19])],[avatar_definition]) ).

fof(f942,definition,
    ( spl107_20
  <=> cC60(iV16453) ),
    introduced(definition,[new_symbols(definition,[spl107_20])],[avatar_definition]) ).

fof(f944,plain,
    ( ~ cC60(iV16453)
    | spl107_20 ),
    inference(avatar_component_clause,[],[f942]) ).

fof(f946,definition,
    ( spl107_21
  <=> cC56(iV16455) ),
    introduced(definition,[new_symbols(definition,[spl107_21])],[avatar_definition]) ).

fof(f948,plain,
    ( ~ cC56(iV16455)
    | spl107_21 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f950,definition,
    ( spl107_22
  <=> cC44(iV16455) ),
    introduced(definition,[new_symbols(definition,[spl107_22])],[avatar_definition]) ).

fof(f954,definition,
    ( spl107_23
  <=> cC42(iV16455) ),
    introduced(definition,[new_symbols(definition,[spl107_23])],[avatar_definition]) ).

fof(f956,plain,
    ( ~ cC42(iV16455)
    | spl107_23 ),
    inference(avatar_component_clause,[],[f954]) ).

fof(f958,definition,
    ( spl107_24
  <=> cowlThing(iV16455) ),
    introduced(definition,[new_symbols(definition,[spl107_24])],[avatar_definition]) ).

fof(f962,definition,
    ( spl107_25
  <=> cC38(iV16457) ),
    introduced(definition,[new_symbols(definition,[spl107_25])],[avatar_definition]) ).

fof(f966,definition,
    ( spl107_26
  <=> cowlThing(iV16457) ),
    introduced(definition,[new_symbols(definition,[spl107_26])],[avatar_definition]) ).

fof(f970,definition,
    ( spl107_27
  <=> cC50(iV16459) ),
    introduced(definition,[new_symbols(definition,[spl107_27])],[avatar_definition]) ).

fof(f974,definition,
    ( spl107_28
  <=> cC88(iV16459) ),
    introduced(definition,[new_symbols(definition,[spl107_28])],[avatar_definition]) ).

fof(f978,definition,
    ( spl107_29
  <=> cC34(iV16459) ),
    introduced(definition,[new_symbols(definition,[spl107_29])],[avatar_definition]) ).

fof(f982,definition,
    ( spl107_30
  <=> cC68(iV16459) ),
    introduced(definition,[new_symbols(definition,[spl107_30])],[avatar_definition]) ).

fof(f986,definition,
    ( spl107_31
  <=> cowlThing(iV16459) ),
    introduced(definition,[new_symbols(definition,[spl107_31])],[avatar_definition]) ).

fof(f990,definition,
    ( spl107_32
  <=> cC38(iV16460) ),
    introduced(definition,[new_symbols(definition,[spl107_32])],[avatar_definition]) ).

fof(f994,definition,
    ( spl107_33
  <=> cowlThing(iV16460) ),
    introduced(definition,[new_symbols(definition,[spl107_33])],[avatar_definition]) ).

fof(f998,definition,
    ( spl107_34
  <=> cC42(iV16461) ),
    introduced(definition,[new_symbols(definition,[spl107_34])],[avatar_definition]) ).

fof(f1000,plain,
    ( ~ cC42(iV16461)
    | spl107_34 ),
    inference(avatar_component_clause,[],[f998]) ).

fof(f1002,definition,
    ( spl107_35
  <=> cC56(iV16461) ),
    introduced(definition,[new_symbols(definition,[spl107_35])],[avatar_definition]) ).

fof(f1004,plain,
    ( ~ cC56(iV16461)
    | spl107_35 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f1006,definition,
    ( spl107_36
  <=> cC44(iV16461) ),
    introduced(definition,[new_symbols(definition,[spl107_36])],[avatar_definition]) ).

fof(f1010,definition,
    ( spl107_37
  <=> cowlThing(iV16461) ),
    introduced(definition,[new_symbols(definition,[spl107_37])],[avatar_definition]) ).

fof(f1014,definition,
    ( spl107_38
  <=> cC38(iV16462) ),
    introduced(definition,[new_symbols(definition,[spl107_38])],[avatar_definition]) ).

fof(f1018,definition,
    ( spl107_39
  <=> cowlThing(iV16462) ),
    introduced(definition,[new_symbols(definition,[spl107_39])],[avatar_definition]) ).

fof(f1022,definition,
    ( spl107_40
  <=> cC76(iV16463) ),
    introduced(definition,[new_symbols(definition,[spl107_40])],[avatar_definition]) ).

fof(f1024,plain,
    ( ~ cC76(iV16463)
    | spl107_40 ),
    inference(avatar_component_clause,[],[f1022]) ).

fof(f1026,definition,
    ( spl107_41
  <=> cC62(iV16463) ),
    introduced(definition,[new_symbols(definition,[spl107_41])],[avatar_definition]) ).

fof(f1030,definition,
    ( spl107_42
  <=> cowlThing(iV16463) ),
    introduced(definition,[new_symbols(definition,[spl107_42])],[avatar_definition]) ).

fof(f1034,definition,
    ( spl107_43
  <=> cC60(iV16463) ),
    introduced(definition,[new_symbols(definition,[spl107_43])],[avatar_definition]) ).

fof(f1036,plain,
    ( ~ cC60(iV16463)
    | spl107_43 ),
    inference(avatar_component_clause,[],[f1034]) ).

fof(f1038,definition,
    ( spl107_44
  <=> cC56(iV16464) ),
    introduced(definition,[new_symbols(definition,[spl107_44])],[avatar_definition]) ).

fof(f1040,plain,
    ( ~ cC56(iV16464)
    | spl107_44 ),
    inference(avatar_component_clause,[],[f1038]) ).

fof(f1042,definition,
    ( spl107_45
  <=> cC42(iV16464) ),
    introduced(definition,[new_symbols(definition,[spl107_45])],[avatar_definition]) ).

fof(f1044,plain,
    ( ~ cC42(iV16464)
    | spl107_45 ),
    inference(avatar_component_clause,[],[f1042]) ).

fof(f1046,definition,
    ( spl107_46
  <=> cC44(iV16464) ),
    introduced(definition,[new_symbols(definition,[spl107_46])],[avatar_definition]) ).

fof(f1050,definition,
    ( spl107_47
  <=> cowlThing(iV16464) ),
    introduced(definition,[new_symbols(definition,[spl107_47])],[avatar_definition]) ).

fof(f1054,definition,
    ( spl107_48
  <=> cC38(iV16465) ),
    introduced(definition,[new_symbols(definition,[spl107_48])],[avatar_definition]) ).

fof(f1058,definition,
    ( spl107_49
  <=> cowlThing(iV16465) ),
    introduced(definition,[new_symbols(definition,[spl107_49])],[avatar_definition]) ).

fof(f1061,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,[],[f863,f1058,f1054,f1050,f1046,f1042,f1038,f1034,f1030,f1026,f1022,f1018,f1014,f1010,f1006,f1002,f998,f994,f990,f986,f982,f978,f974,f970,f966,f962,f958,f954,f950,f946,f942,f938,f934,f930,f926,f922,f918,f914,f910,f906,f902,f898,f894,f890,f886,f882,f878,f874,f870,f866]) ).

fof(f1062,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,[],[f864,f1058,f1054,f1050,f1046,f1042,f1038,f1034,f1030,f1026,f1022,f1018,f1014,f1010,f1006,f1002,f998,f994,f990,f986,f982,f978,f974,f970,f966,f962,f958,f954,f950,f946,f942,f938,f934,f930,f926,f922,f918,f914,f910,f906,f902,f898,f894,f890,f886,f882,f878,f874,f870,f866]) ).

fof(f1063,plain,
    spl107_49,
    inference(avatar_split_clause,[],[f853,f1058]) ).

fof(f1064,plain,
    spl107_47,
    inference(avatar_split_clause,[],[f841,f1050]) ).

fof(f1065,plain,
    spl107_42,
    inference(avatar_split_clause,[],[f833,f1030]) ).

fof(f1066,plain,
    spl107_39,
    inference(avatar_split_clause,[],[f823,f1018]) ).

fof(f1067,plain,
    spl107_37,
    inference(avatar_split_clause,[],[f810,f1010]) ).

fof(f1068,plain,
    spl107_33,
    inference(avatar_split_clause,[],[f800,f994]) ).

fof(f1069,plain,
    spl107_31,
    inference(avatar_split_clause,[],[f782,f986]) ).

fof(f1070,plain,
    spl107_26,
    inference(avatar_split_clause,[],[f772,f966]) ).

fof(f1071,plain,
    spl107_24,
    inference(avatar_split_clause,[],[f761,f958]) ).

fof(f1072,plain,
    spl107_19,
    inference(avatar_split_clause,[],[f752,f938]) ).

fof(f1073,plain,
    spl107_16,
    inference(avatar_split_clause,[],[f739,f926]) ).

fof(f1074,plain,
    spl107_14,
    inference(avatar_split_clause,[],[f730,f918]) ).

fof(f1075,plain,
    spl107_10,
    inference(avatar_split_clause,[],[f724,f902]) ).

fof(f1076,plain,
    ( $false
    | spl107_1 ),
    inference(forward_subsumption_resolution,[],[f868,f390]) ).

fof(f1077,plain,
    spl107_1,
    inference(avatar_contradiction_clause,[],[f1076]) ).

fof(f1080,plain,
    ! [X0] :
      ( cC42(X0)
      | ~ cC56(X0) ),
    inference(resolution,[],[f578,f541]) ).

fof(f1083,plain,
    ! [X0] :
      ( cC60(X0)
      | ~ cC76(X0) ),
    inference(resolution,[],[f646,f602]) ).

fof(f1085,plain,
    cC130(iV16439),
    inference(resolution,[],[f721,f726]) ).

fof(f1086,plain,
    spl107_5,
    inference(avatar_split_clause,[],[f1085,f882]) ).

fof(f1087,plain,
    cC108(iV16439),
    inference(resolution,[],[f722,f726]) ).

fof(f1088,plain,
    ( $false
    | spl107_6 ),
    inference(forward_subsumption_resolution,[],[f1087,f888]) ).

fof(f1089,plain,
    spl107_6,
    inference(avatar_contradiction_clause,[],[f1088]) ).

fof(f1090,plain,
    ( cC28(iV16439)
    | ~ spl107_6 ),
    inference(resolution,[],[f887,f415]) ).

fof(f1091,plain,
    ( cC106(iV16439)
    | ~ spl107_6 ),
    inference(resolution,[],[f887,f414]) ).

fof(f1092,plain,
    ( $false
    | ~ spl107_6
    | spl107_8 ),
    inference(forward_subsumption_resolution,[],[f1091,f896]) ).

fof(f1093,plain,
    ( ~ spl107_6
    | spl107_8 ),
    inference(avatar_contradiction_clause,[],[f1092]) ).

fof(f1094,plain,
    ( spl107_9
    | ~ spl107_6 ),
    inference(avatar_split_clause,[],[f1090,f886,f898]) ).

fof(f1095,plain,
    ( cC104(iV16439)
    | ~ spl107_8 ),
    inference(resolution,[],[f895,f412]) ).

fof(f1096,plain,
    ( spl107_7
    | ~ spl107_8 ),
    inference(avatar_split_clause,[],[f1095,f894,f890]) ).

fof(f1110,plain,
    ( ~ rR1(iV16439,iV16440)
    | spl107_11 ),
    inference(resolution,[],[f723,f908]) ).

fof(f1111,plain,
    ( $false
    | spl107_11 ),
    inference(forward_subsumption_resolution,[],[f1110,f727]) ).

fof(f1112,plain,
    spl107_11,
    inference(avatar_contradiction_clause,[],[f1111]) ).

fof(f1113,plain,
    ( ~ cC98(iV16440)
    | spl107_13 ),
    inference(resolution,[],[f916,f716]) ).

fof(f1114,plain,
    ( $false
    | ~ spl107_11
    | spl107_13 ),
    inference(forward_subsumption_resolution,[],[f1113,f907]) ).

fof(f1115,plain,
    ( ~ spl107_11
    | spl107_13 ),
    inference(avatar_contradiction_clause,[],[f1114]) ).

fof(f1116,plain,
    ( cC80(iV16440)
    | ~ spl107_13 ),
    inference(resolution,[],[f915,f666]) ).

fof(f1117,plain,
    ( spl107_12
    | ~ spl107_13 ),
    inference(avatar_split_clause,[],[f1116,f914,f910]) ).

fof(f1199,plain,
    ( ~ cC30xcomp(iV16459)
    | cC34(iV16459) ),
    inference(resolution,[],[f510,f793]) ).

fof(f1201,plain,
    cC34(iV16459),
    inference(forward_subsumption_resolution,[],[f1199,f786]) ).

fof(f1202,plain,
    spl107_29,
    inference(avatar_split_clause,[],[f1201,f978]) ).

fof(f1213,plain,
    ( ~ cC36xcomp(iV16448)
    | cC38(iV16448) ),
    inference(resolution,[],[f522,f740]) ).

fof(f1214,plain,
    ( ~ cC36xcomp(iV16460)
    | cC38(iV16460) ),
    inference(resolution,[],[f522,f802]) ).

fof(f1215,plain,
    ( ~ cC36xcomp(iV16457)
    | cC38(iV16457) ),
    inference(resolution,[],[f522,f774]) ).

fof(f1216,plain,
    ( ~ cC36xcomp(iV16462)
    | cC38(iV16462) ),
    inference(resolution,[],[f522,f824]) ).

fof(f1217,plain,
    ( ~ cC36xcomp(iV16465)
    | cC38(iV16465) ),
    inference(resolution,[],[f522,f854]) ).

fof(f1218,plain,
    cC38(iV16465),
    inference(forward_subsumption_resolution,[],[f1217,f859]) ).

fof(f1219,plain,
    cC38(iV16462),
    inference(forward_subsumption_resolution,[],[f1216,f829]) ).

fof(f1220,plain,
    cC38(iV16457),
    inference(forward_subsumption_resolution,[],[f1215,f778]) ).

fof(f1221,plain,
    cC38(iV16460),
    inference(forward_subsumption_resolution,[],[f1214,f805]) ).

fof(f1222,plain,
    cC38(iV16448),
    inference(forward_subsumption_resolution,[],[f1213,f745]) ).

fof(f1223,plain,
    spl107_48,
    inference(avatar_split_clause,[],[f1218,f1054]) ).

fof(f1224,plain,
    spl107_38,
    inference(avatar_split_clause,[],[f1219,f1014]) ).

fof(f1225,plain,
    spl107_25,
    inference(avatar_split_clause,[],[f1220,f962]) ).

fof(f1226,plain,
    spl107_32,
    inference(avatar_split_clause,[],[f1221,f990]) ).

fof(f1227,plain,
    ( $false
    | spl107_15 ),
    inference(forward_subsumption_resolution,[],[f1222,f924]) ).

fof(f1228,plain,
    spl107_15,
    inference(avatar_contradiction_clause,[],[f1227]) ).

fof(f1249,plain,
    ( ~ cC42(iV16461)
    | cC44(iV16461) ),
    inference(resolution,[],[f543,f811]) ).

fof(f1250,plain,
    ( ~ cC42(iV16455)
    | cC44(iV16455) ),
    inference(resolution,[],[f543,f762]) ).

fof(f1251,plain,
    ( ~ cC42(iV16464)
    | cC44(iV16464) ),
    inference(resolution,[],[f543,f843]) ).

fof(f1252,plain,
    ( spl107_46
    | ~ spl107_45 ),
    inference(avatar_split_clause,[],[f1251,f1042,f1046]) ).

fof(f1253,plain,
    ( spl107_22
    | ~ spl107_23 ),
    inference(avatar_split_clause,[],[f1250,f954,f950]) ).

fof(f1254,plain,
    ( spl107_36
    | ~ spl107_34 ),
    inference(avatar_split_clause,[],[f1249,f998,f1006]) ).

fof(f1259,plain,
    ( ~ cC56(iV16461)
    | spl107_34 ),
    inference(resolution,[],[f1000,f1080]) ).

fof(f1260,plain,
    ( ~ spl107_35
    | spl107_34 ),
    inference(avatar_split_clause,[],[f1259,f998,f1002]) ).

fof(f1262,plain,
    ( ~ rR1(iV16453,iV16461)
    | spl107_35 ),
    inference(resolution,[],[f1004,f755]) ).

fof(f1263,plain,
    ( $false
    | spl107_35 ),
    inference(forward_subsumption_resolution,[],[f1262,f759]) ).

fof(f1264,plain,
    spl107_35,
    inference(avatar_contradiction_clause,[],[f1263]) ).

fof(f1269,plain,
    ( ~ cC56(iV16464)
    | spl107_45 ),
    inference(resolution,[],[f1044,f1080]) ).

fof(f1270,plain,
    ( ~ spl107_44
    | spl107_45 ),
    inference(avatar_split_clause,[],[f1269,f1042,f1038]) ).

fof(f1271,plain,
    ( ~ rR1(iV16463,iV16464)
    | spl107_44 ),
    inference(resolution,[],[f1040,f838]) ).

fof(f1273,plain,
    ( $false
    | spl107_44 ),
    inference(forward_subsumption_resolution,[],[f1271,f840]) ).

fof(f1274,plain,
    spl107_44,
    inference(avatar_contradiction_clause,[],[f1273]) ).

fof(f1291,plain,
    ( ~ cC46xcomp(iV16459)
    | cC50(iV16459) ),
    inference(resolution,[],[f560,f794]) ).

fof(f1293,plain,
    cC50(iV16459),
    inference(forward_subsumption_resolution,[],[f1291,f789]) ).

fof(f1294,plain,
    spl107_27,
    inference(avatar_split_clause,[],[f1293,f970]) ).

fof(f1314,plain,
    ( ~ cC44(iV16455)
    | cC56(iV16455) ),
    inference(resolution,[],[f580,f767]) ).

fof(f1316,plain,
    ( ~ cC44(iV16455)
    | spl107_21 ),
    inference(forward_subsumption_resolution,[],[f1314,f948]) ).

fof(f1317,plain,
    ( ~ spl107_22
    | spl107_21 ),
    inference(avatar_split_clause,[],[f1316,f946,f950]) ).

fof(f1341,plain,
    ( ~ cC60(iV16453)
    | cC62(iV16453) ),
    inference(resolution,[],[f603,f758]) ).

fof(f1342,plain,
    ( ~ cC60(iV16463)
    | cC62(iV16463) ),
    inference(resolution,[],[f603,f839]) ).

fof(f1344,plain,
    ( spl107_41
    | ~ spl107_43 ),
    inference(avatar_split_clause,[],[f1342,f1034,f1026]) ).

fof(f1345,plain,
    ( ~ cC60(iV16453)
    | spl107_18 ),
    inference(forward_subsumption_resolution,[],[f1341,f936]) ).

fof(f1346,plain,
    ( ~ spl107_20
    | spl107_18 ),
    inference(avatar_split_clause,[],[f1345,f934,f942]) ).

fof(f1348,plain,
    ( ~ cC76(iV16463)
    | spl107_43 ),
    inference(resolution,[],[f1036,f1083]) ).

fof(f1349,plain,
    ( ~ spl107_40
    | spl107_43 ),
    inference(avatar_split_clause,[],[f1348,f1034,f1022]) ).

fof(f1350,plain,
    ( ~ rR1(iV16440,iV16463)
    | spl107_40 ),
    inference(resolution,[],[f1024,f733]) ).

fof(f1351,plain,
    ( $false
    | spl107_40 ),
    inference(forward_subsumption_resolution,[],[f1350,f736]) ).

fof(f1352,plain,
    spl107_40,
    inference(avatar_contradiction_clause,[],[f1351]) ).

fof(f1378,plain,
    ( ~ cC64xcomp(iV16459)
    | cC68(iV16459) ),
    inference(resolution,[],[f622,f798]) ).

fof(f1381,plain,
    cC68(iV16459),
    inference(forward_subsumption_resolution,[],[f1378,f790]) ).

fof(f1382,plain,
    spl107_30,
    inference(avatar_split_clause,[],[f1381,f982]) ).

fof(f1401,plain,
    ( ~ cC62(iV16453)
    | cC76(iV16453) ),
    inference(resolution,[],[f648,f751]) ).

fof(f1445,plain,
    ( ~ cC84xcomp(iV16459)
    | cC88(iV16459) ),
    inference(resolution,[],[f686,f792]) ).

fof(f1448,plain,
    cC88(iV16459),
    inference(forward_subsumption_resolution,[],[f1445,f787]) ).

fof(f1449,plain,
    spl107_28,
    inference(avatar_split_clause,[],[f1448,f974]) ).

fof(f1518,plain,
    ( ! [X0] :
        ( ~ cC8xcomp(X0)
        | ~ rR1(iV16455,X0) )
    | spl107_23 ),
    inference(resolution,[],[f540,f956]) ).

fof(f1519,plain,
    ( ~ rR1(iV16455,iV16460)
    | spl107_23 ),
    inference(resolution,[],[f1518,f804]) ).

fof(f1526,plain,
    ( $false
    | spl107_23 ),
    inference(forward_subsumption_resolution,[],[f1519,f770]) ).

fof(f1527,plain,
    spl107_23,
    inference(avatar_contradiction_clause,[],[f1526]) ).

fof(f1543,plain,
    ( ! [X0] :
        ( ~ cC12xcomp(X0)
        | ~ rR1(iV16453,X0) )
    | spl107_20 ),
    inference(resolution,[],[f600,f944]) ).

fof(f1544,plain,
    ( ~ rR1(iV16453,iV16461)
    | spl107_20 ),
    inference(resolution,[],[f1543,f814]) ).

fof(f1548,plain,
    ( $false
    | spl107_20 ),
    inference(forward_subsumption_resolution,[],[f1544,f759]) ).

fof(f1549,plain,
    spl107_20,
    inference(avatar_contradiction_clause,[],[f1548]) ).

fof(f1550,plain,
    ( cC76(iV16453)
    | ~ spl107_18 ),
    inference(forward_subsumption_resolution,[],[f1401,f935]) ).

fof(f1551,plain,
    ( $false
    | spl107_17
    | ~ spl107_18 ),
    inference(forward_subsumption_resolution,[],[f1550,f932]) ).

fof(f1552,plain,
    ( spl107_17
    | ~ spl107_18 ),
    inference(avatar_contradiction_clause,[],[f1551]) ).

fof(f1553,plain,
    ( xsd_string(sK105)
    | spl107_4 ),
    inference(resolution,[],[f879,f391]) ).

fof(f1554,plain,
    ( $false
    | spl107_3
    | spl107_4 ),
    inference(forward_subsumption_resolution,[],[f1553,f876]) ).

fof(f1555,plain,
    ( spl107_3
    | spl107_4 ),
    inference(avatar_contradiction_clause,[],[f1554]) ).

fof(f1556,plain,
    ( $false
    | ~ spl107_2 ),
    inference(forward_subsumption_resolution,[],[f872,f389]) ).

fof(f1557,plain,
    ~ spl107_2,
    inference(avatar_contradiction_clause,[],[f1556]) ).

fof(f1558,plain,
    ( ~ xsd_string(sK105)
    | ~ spl107_4 ),
    inference(resolution,[],[f880,f392]) ).

fof(f1559,plain,
    ( $false
    | ~ spl107_3
    | ~ spl107_4 ),
    inference(forward_subsumption_resolution,[],[f1558,f875]) ).

fof(f1560,plain,
    ( ~ spl107_3
    | ~ spl107_4 ),
    inference(avatar_contradiction_clause,[],[f1559]) ).

cnf(s1,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(sat_conversion,[],[f1061]) ).

cnf(s2,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(sat_conversion,[],[f1062]) ).

cnf(s3,plain,
    spl107_49,
    inference(sat_conversion,[],[f1063]) ).

cnf(s4,plain,
    spl107_47,
    inference(sat_conversion,[],[f1064]) ).

cnf(s5,plain,
    spl107_42,
    inference(sat_conversion,[],[f1065]) ).

cnf(s6,plain,
    spl107_39,
    inference(sat_conversion,[],[f1066]) ).

cnf(s7,plain,
    spl107_37,
    inference(sat_conversion,[],[f1067]) ).

cnf(s8,plain,
    spl107_33,
    inference(sat_conversion,[],[f1068]) ).

cnf(s9,plain,
    spl107_31,
    inference(sat_conversion,[],[f1069]) ).

cnf(s10,plain,
    spl107_26,
    inference(sat_conversion,[],[f1070]) ).

cnf(s11,plain,
    spl107_24,
    inference(sat_conversion,[],[f1071]) ).

cnf(s12,plain,
    spl107_19,
    inference(sat_conversion,[],[f1072]) ).

cnf(s13,plain,
    spl107_16,
    inference(sat_conversion,[],[f1073]) ).

cnf(s14,plain,
    spl107_14,
    inference(sat_conversion,[],[f1074]) ).

cnf(s15,plain,
    spl107_10,
    inference(sat_conversion,[],[f1075]) ).

cnf(s16,plain,
    spl107_1,
    inference(sat_conversion,[],[f1077]) ).

cnf(s17,plain,
    spl107_5,
    inference(sat_conversion,[],[f1086]) ).

cnf(s18,plain,
    spl107_6,
    inference(sat_conversion,[],[f1089]) ).

cnf(s19,plain,
    ( ~ spl107_6
    | spl107_8 ),
    inference(sat_conversion,[],[f1093]) ).

cnf(s20,plain,
    ( ~ spl107_6
    | spl107_9 ),
    inference(sat_conversion,[],[f1094]) ).

cnf(s21,plain,
    ( spl107_7
    | ~ spl107_8 ),
    inference(sat_conversion,[],[f1096]) ).

cnf(s22,plain,
    spl107_11,
    inference(sat_conversion,[],[f1112]) ).

cnf(s23,plain,
    ( ~ spl107_11
    | spl107_13 ),
    inference(sat_conversion,[],[f1115]) ).

cnf(s24,plain,
    ( spl107_12
    | ~ spl107_13 ),
    inference(sat_conversion,[],[f1117]) ).

cnf(s25,plain,
    spl107_29,
    inference(sat_conversion,[],[f1202]) ).

cnf(s26,plain,
    spl107_48,
    inference(sat_conversion,[],[f1223]) ).

cnf(s27,plain,
    spl107_38,
    inference(sat_conversion,[],[f1224]) ).

cnf(s28,plain,
    spl107_25,
    inference(sat_conversion,[],[f1225]) ).

cnf(s29,plain,
    spl107_32,
    inference(sat_conversion,[],[f1226]) ).

cnf(s30,plain,
    spl107_15,
    inference(sat_conversion,[],[f1228]) ).

cnf(s32,plain,
    ( ~ spl107_45
    | spl107_46 ),
    inference(sat_conversion,[],[f1252]) ).

cnf(s33,plain,
    ( spl107_22
    | ~ spl107_23 ),
    inference(sat_conversion,[],[f1253]) ).

cnf(s34,plain,
    ( ~ spl107_34
    | spl107_36 ),
    inference(sat_conversion,[],[f1254]) ).

cnf(s36,plain,
    ( spl107_34
    | ~ spl107_35 ),
    inference(sat_conversion,[],[f1260]) ).

cnf(s37,plain,
    spl107_35,
    inference(sat_conversion,[],[f1264]) ).

cnf(s38,plain,
    ( ~ spl107_44
    | spl107_45 ),
    inference(sat_conversion,[],[f1270]) ).

cnf(s39,plain,
    spl107_44,
    inference(sat_conversion,[],[f1274]) ).

cnf(s40,plain,
    spl107_27,
    inference(sat_conversion,[],[f1294]) ).

cnf(s41,plain,
    ( spl107_21
    | ~ spl107_22 ),
    inference(sat_conversion,[],[f1317]) ).

cnf(s42,plain,
    ( spl107_41
    | ~ spl107_43 ),
    inference(sat_conversion,[],[f1344]) ).

cnf(s43,plain,
    ( spl107_18
    | ~ spl107_20 ),
    inference(sat_conversion,[],[f1346]) ).

cnf(s44,plain,
    ( ~ spl107_40
    | spl107_43 ),
    inference(sat_conversion,[],[f1349]) ).

cnf(s45,plain,
    spl107_40,
    inference(sat_conversion,[],[f1352]) ).

cnf(s46,plain,
    spl107_30,
    inference(sat_conversion,[],[f1382]) ).

cnf(s47,plain,
    spl107_28,
    inference(sat_conversion,[],[f1449]) ).

cnf(s48,plain,
    spl107_23,
    inference(sat_conversion,[],[f1527]) ).

cnf(s49,plain,
    spl107_20,
    inference(sat_conversion,[],[f1549]) ).

cnf(s50,plain,
    ( spl107_17
    | ~ spl107_18 ),
    inference(sat_conversion,[],[f1552]) ).

cnf(s51,plain,
    ( spl107_3
    | spl107_4 ),
    inference(sat_conversion,[],[f1555]) ).

cnf(s52,plain,
    ~ spl107_2,
    inference(sat_conversion,[],[f1557]) ).

cnf(s53,plain,
    ( ~ spl107_3
    | ~ spl107_4 ),
    inference(sat_conversion,[],[f1560]) ).

cnf(s54,plain,
    spl107_43,
    inference(rat,[],[s44,s45]) ).

cnf(s55,plain,
    spl107_18,
    inference(rat,[],[s43,s49]) ).

cnf(s56,plain,
    spl107_17,
    inference(rat,[],[s50,s55]) ).

cnf(s57,plain,
    spl107_41,
    inference(rat,[],[s42,s54]) ).

cnf(s58,plain,
    spl107_45,
    inference(rat,[],[s38,s39]) ).

cnf(s59,plain,
    spl107_34,
    inference(rat,[],[s36,s37]) ).

cnf(s60,plain,
    spl107_36,
    inference(rat,[],[s34,s59]) ).

cnf(s61,plain,
    spl107_22,
    inference(rat,[],[s33,s48]) ).

cnf(s62,plain,
    spl107_21,
    inference(rat,[],[s41,s61]) ).

cnf(s63,plain,
    spl107_46,
    inference(rat,[],[s32,s58]) ).

cnf(s64,plain,
    spl107_13,
    inference(rat,[],[s23,s22]) ).

cnf(s65,plain,
    spl107_12,
    inference(rat,[],[s24,s64]) ).

cnf(s66,plain,
    spl107_9,
    inference(rat,[],[s20,s18]) ).

cnf(s67,plain,
    spl107_8,
    inference(rat,[],[s19,s18]) ).

cnf(s68,plain,
    spl107_7,
    inference(rat,[],[s21,s67]) ).

cnf(s69,plain,
    ( spl107_3
    | ~ spl107_4 ),
    inference(rat,[],[s2,s3,s26,s4,s63,s58,s39,s54,s5,s57,s45,s6,s27,s7,s60,s37,s59,s8,s29,s9,s46,s25,s47,s40,s10,s28,s11,s48,s61,s62,s49,s12,s55,s56,s13,s30,s14,s64,s65,s22,s15,s66,s67,s68,s18,s17,s52,s16]) ).

cnf(s70,plain,
    ( ~ spl107_3
    | spl107_4 ),
    inference(rat,[],[s1,s3,s26,s4,s63,s58,s39,s54,s5,s57,s45,s6,s27,s7,s60,s37,s59,s8,s29,s9,s46,s25,s47,s40,s10,s28,s11,s48,s61,s62,s49,s12,s55,s56,s13,s30,s14,s64,s65,s22,s15,s66,s67,s68,s18,s17,s52,s16]) ).

cnf(s71,plain,
    spl107_3,
    inference(rat,[],[s69,s51]) ).

cnf(s72,plain,
    ~ spl107_4,
    inference(rat,[],[s53,s71]) ).

cnf(s73,plain,
    $false,
    inference(rat,[],[s70,s72,s71]) ).

fof(f1561,plain,
    $false,
    inference(avatar_sat_refutation,[],[s73]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KRS161+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.36  % Computer : n001.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Sun Sep 27 13:38:31 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.40  Running first-order model finding
% 0.08/0.40  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
% 0.16/0.48  % (3575783)Will run a generic schedule for satisfiability detection.
% 0.16/0.48  % (3575788)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3257892005_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.48  % (3575789)% WARNING: option uhcvi not known.
% 0.16/0.48  % (3575792)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=834652779:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.48  % (3575789)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=961003837:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.48  % (3575790)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4278792996:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.48  % (3575791)dis+10_1_sil=32000:sp=arity:random_seed=720226176:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.48  % (3575793)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3388643316:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.48  % (3575794)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1018878271:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.48  % TRYING [1]
% 0.16/0.48  % TRYING [2]
% 0.16/0.48  % TRYING [3]
% 0.16/0.48  % (3575792) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3575783-3575792"...
% 0.16/0.48  % (3575793) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3575783-3575793"...
% 0.16/0.48  % (3575792)...printing done.
% 0.16/0.48  % (3575792)Refutation found. Thanks to Tanya!
% 0.16/0.48  % SZS status Theorem for theBenchmark
% 0.16/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48  % (3575792)------------------------------
% 0.16/0.48  % (3575792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48  % (3575792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48  % (3575792)CaDiCaL version: 2.1.3
% 0.16/0.48  % (3575792)Termination reason: Refutation
% 0.16/0.48  % (3575792)Time elapsed: 0.026 s
% 0.16/0.48  % (3575792)Peak memory usage: 13 MB
% 0.16/0.48  % (3575792)Instructions burned: 42 (million)
% 0.16/0.48  % (3575783)Success in time 0.074 s
% 0.16/0.48  % Vampire exiting
%------------------------------------------------------------------------------