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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : KRS153+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n014.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 : Fri Sep 25 01:54:17 PM UTC 2026

% Result   : Theorem 4.42s 1.84s
% Output   : CNFRefutation 4.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   66
% Syntax   : Number of formulae    :  356 ( 141 unt;   0 def)
%            Number of atoms       : 2008 (   0 equ)
%            Maximal formula atoms :   51 (   5 avg)
%            Number of connectives : 3078 (1426   ~;1399   |; 227   &)
%                                         (  20 <=>;   5  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   50 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   45 (  44 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  15 con; 0-1 aty)
%            Number of variables   :  177 (   0 sgn 167   !;  10   ?;  62   :)

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

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

fof(f6,axiom,
    ! [X0] :
      ( cC106(X0)
    <=> ( cC104(X0)
        & ~ cC100(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f7,axiom,
    ! [X0] :
      ( cC108(X0)
    <=> ( cC106(X0)
        & cC28(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f26,axiom,
    ! [X0] :
      ( cC34(X0)
    <=> ( ~ cC30(X0)
        & ~ cC32(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).

fof(f28,axiom,
    ! [X0] :
      ( cC38(X0)
    <=> ( cTOP(X0)
        & ~ cC36(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).

fof(f30,axiom,
    ! [X0] :
      ( cC42(X0)
    <=> ? [X1] :
          ( ~ cC8(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).

fof(f31,axiom,
    ! [X0] :
      ( cC44(X0)
    <=> ( cC42(X0)
        & ~ cC40(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).

fof(f34,axiom,
    ! [X0] :
      ( cC50(X0)
    <=> ( ~ cC48(X0)
        & ~ cC46(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).

fof(f37,axiom,
    ! [X0] :
      ( cC56(X0)
    <=> ( ~ cC54(X0)
        & cC44(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).

fof(f40,axiom,
    ! [X0] :
      ( cC60(X0)
    <=> ? [X1] :
          ( ~ cC12(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_39) ).

fof(f41,axiom,
    ! [X0] :
      ( cC62(X0)
    <=> ( ~ cC58(X0)
        & cC60(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).

fof(f44,axiom,
    ! [X0] :
      ( cC68(X0)
    <=> ( ~ cC66(X0)
        & ~ cC64(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).

fof(f48,axiom,
    ! [X0] :
      ( cC76(X0)
    <=> ( cC62(X0)
        & ~ cC74(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).

fof(f51,axiom,
    ! [X0] :
      ( cC82(X0)
    <=> ( cC80(X0)
        & ~ cC78(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_50) ).

fof(f54,axiom,
    ! [X0] :
      ( cC88(X0)
    <=> ( ~ cC86(X0)
        & ~ cC84(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_53) ).

fof(f59,axiom,
    ! [X0] :
      ( cC98(X0)
    <=> ( cC82(X0)
        & ~ cC96(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).

fof(f60,axiom,
    ! [X0] :
      ( cTEST(X0)
    <=> ( cC130(X0)
        & cC108(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).

fof(f61,axiom,
    ! [X0] :
      ( rR1(iV16439,X0)
     => cC98(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).

fof(f62,axiom,
    cTEST(iV16439),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).

fof(f64,axiom,
    cowlThing(iV16439),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_63) ).

fof(f65,axiom,
    rR1(iV16439,iV16440),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).

fof(f68,axiom,
    ! [X0] :
      ( rR1(iV16440,X0)
     => cC76(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_67) ).

fof(f73,axiom,
    cowlThing(iV16440),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_72) ).

fof(f74,axiom,
    rR1(iV16440,iV16463),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_73) ).

fof(f77,axiom,
    ~ cC36(iV16448),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_76) ).

fof(f80,axiom,
    cTOP(iV16448),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_79) ).

fof(f85,axiom,
    cowlThing(iV16448),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_84) ).

fof(f92,axiom,
    ~ cC58(iV16453),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_91) ).

fof(f93,axiom,
    ~ cC74(iV16453),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_92) ).

fof(f94,axiom,
    ! [X0] :
      ( rR1(iV16453,X0)
     => cC56(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_93) ).

fof(f95,axiom,
    cowlThing(iV16453),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_94) ).

fof(f97,axiom,
    rR1(iV16453,iV16461),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_96) ).

fof(f99,axiom,
    ~ cC40(iV16455),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_98) ).

fof(f104,axiom,
    ~ cC54(iV16455),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_103) ).

fof(f106,axiom,
    cowlThing(iV16455),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_105) ).

fof(f108,axiom,
    rR1(iV16455,iV16460),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_107) ).

fof(f109,axiom,
    ~ cC36(iV16457),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_108) ).

fof(f114,axiom,
    cTOP(iV16457),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_113) ).

fof(f118,axiom,
    cowlThing(iV16457),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_117) ).

fof(f121,axiom,
    ~ cC48(iV16459),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_120) ).

fof(f122,axiom,
    ~ cC30(iV16459),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_121) ).

fof(f124,axiom,
    ~ cC86(iV16459),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_123) ).

fof(f125,axiom,
    ~ cC46(iV16459),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_124) ).

fof(f128,axiom,
    ~ cC66(iV16459),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_127) ).

fof(f133,axiom,
    ~ cC84(iV16459),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_132) ).

fof(f134,axiom,
    ~ cC64(iV16459),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_133) ).

fof(f135,axiom,
    cowlThing(iV16459),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_134) ).

fof(f136,axiom,
    ~ cC32(iV16459),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_135) ).

fof(f138,axiom,
    ~ cC36(iV16460),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_137) ).

fof(f141,axiom,
    cTOP(iV16460),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_140) ).

fof(f142,axiom,
    ~ cC8(iV16460),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_141) ).

fof(f147,axiom,
    cowlThing(iV16460),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_146) ).

fof(f152,axiom,
    ~ cC12(iV16461),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_151) ).

fof(f156,axiom,
    cowlThing(iV16461),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_155) ).

fof(f162,axiom,
    ~ cC36(iV16462),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_161) ).

fof(f163,axiom,
    cTOP(iV16462),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_162) ).

fof(f169,axiom,
    cowlThing(iV16462),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_168) ).

fof(f172,axiom,
    ! [X0] :
      ( rR1(iV16463,X0)
     => cC56(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_171) ).

fof(f177,axiom,
    cowlThing(iV16463),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_176) ).

fof(f178,axiom,
    rR1(iV16463,iV16464),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_177) ).

fof(f188,axiom,
    cowlThing(iV16464),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_187) ).

fof(f196,axiom,
    ~ cC36(iV16465),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_195) ).

fof(f197,axiom,
    cTOP(iV16465),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_196) ).

fof(f199,axiom,
    cowlThing(iV16465),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_198) ).

fof(f201,conjecture,
    ( cC38(iV16465)
    & cowlThing(iV16465)
    & cC42(iV16464)
    & cC56(iV16464)
    & cowlThing(iV16464)
    & cC44(iV16464)
    & cC60(iV16463)
    & cC76(iV16463)
    & cowlThing(iV16463)
    & cC62(iV16463)
    & cC38(iV16462)
    & cowlThing(iV16462)
    & cC42(iV16461)
    & cC56(iV16461)
    & cowlThing(iV16461)
    & cC44(iV16461)
    & cC38(iV16460)
    & cowlThing(iV16460)
    & cC34(iV16459)
    & cC50(iV16459)
    & cC88(iV16459)
    & cowlThing(iV16459)
    & cC68(iV16459)
    & cC38(iV16457)
    & cowlThing(iV16457)
    & cC42(iV16455)
    & cC56(iV16455)
    & cowlThing(iV16455)
    & cC44(iV16455)
    & cC60(iV16453)
    & cC76(iV16453)
    & cowlThing(iV16453)
    & cC62(iV16453)
    & cC38(iV16448)
    & cowlThing(iV16448)
    & cC98(iV16440)
    & cC82(iV16440)
    & cowlThing(iV16440)
    & cC80(iV16440)
    & cC104(iV16439)
    & cC108(iV16439)
    & cowlThing(iV16439)
    & cC130(iV16439)
    & cC28(iV16439)
    & cC106(iV16439)
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

fof(f202,negated_conjecture,
    ~ ( cC38(iV16465)
      & cowlThing(iV16465)
      & cC42(iV16464)
      & cC56(iV16464)
      & cowlThing(iV16464)
      & cC44(iV16464)
      & cC60(iV16463)
      & cC76(iV16463)
      & cowlThing(iV16463)
      & cC62(iV16463)
      & cC38(iV16462)
      & cowlThing(iV16462)
      & cC42(iV16461)
      & cC56(iV16461)
      & cowlThing(iV16461)
      & cC44(iV16461)
      & cC38(iV16460)
      & cowlThing(iV16460)
      & cC34(iV16459)
      & cC50(iV16459)
      & cC88(iV16459)
      & cowlThing(iV16459)
      & cC68(iV16459)
      & cC38(iV16457)
      & cowlThing(iV16457)
      & cC42(iV16455)
      & cC56(iV16455)
      & cowlThing(iV16455)
      & cC44(iV16455)
      & cC60(iV16453)
      & cC76(iV16453)
      & cowlThing(iV16453)
      & cC62(iV16453)
      & cC38(iV16448)
      & cowlThing(iV16448)
      & cC98(iV16440)
      & cC82(iV16440)
      & cowlThing(iV16440)
      & cC80(iV16440)
      & cC104(iV16439)
      & cC108(iV16439)
      & cowlThing(iV16439)
      & cC130(iV16439)
      & cC28(iV16439)
      & cC106(iV16439)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negated_conjecture,[status(cth)],[f201]) ).

fof(f203,plain,
    ~ ( cC38(iV16465)
      & cowlThing(iV16465)
      & cC42(iV16464)
      & cC56(iV16464)
      & cowlThing(iV16464)
      & cC44(iV16464)
      & cC60(iV16463)
      & cC76(iV16463)
      & cowlThing(iV16463)
      & cC62(iV16463)
      & cC38(iV16462)
      & cowlThing(iV16462)
      & cC42(iV16461)
      & cC56(iV16461)
      & cowlThing(iV16461)
      & cC44(iV16461)
      & cC38(iV16460)
      & cowlThing(iV16460)
      & cC34(iV16459)
      & cC50(iV16459)
      & cC88(iV16459)
      & cowlThing(iV16459)
      & cC68(iV16459)
      & cC38(iV16457)
      & cowlThing(iV16457)
      & cC42(iV16455)
      & cC56(iV16455)
      & cowlThing(iV16455)
      & cC44(iV16455)
      & cC60(iV16453)
      & cC76(iV16453)
      & cowlThing(iV16453)
      & cC62(iV16453)
      & cC38(iV16448)
      & cowlThing(iV16448)
      & cC98(iV16440)
      & cC82(iV16440)
      & cowlThing(iV16440)
      & cC80(iV16440)
      & cC104(iV16439)
      & cC108(iV16439)
      & cowlThing(iV16439)
      & cC130(iV16439)
      & cC28(iV16439)
      & cC106(iV16439)
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(rectify,[],[f202]) ).

fof(f204,plain,
    ! [X0] :
      ( cTEST(X0)
     => ( cC130(X0)
        & cC108(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f60]) ).

fof(f205,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | ( cC130(X0)
        & cC108(X0) ) ),
    inference(ennf_transformation,[],[f204]) ).

fof(f206,plain,
    ! [X0] :
      ( ~ rR1(iV16439,X0)
      | cC98(X0) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f207,plain,
    ! [X0] :
      ( ~ rR1(iV16440,X0)
      | cC76(X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f215,plain,
    ! [X0] :
      ( ~ rR1(iV16453,X0)
      | cC56(X0) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f237,plain,
    ! [X0] :
      ( ~ rR1(iV16463,X0)
      | cC56(X0) ),
    inference(ennf_transformation,[],[f172]) ).

fof(f247,plain,
    ( ~ cC38(iV16465)
    | ~ cowlThing(iV16465)
    | ~ cC42(iV16464)
    | ~ cC56(iV16464)
    | ~ cowlThing(iV16464)
    | ~ cC44(iV16464)
    | ~ cC60(iV16463)
    | ~ cC76(iV16463)
    | ~ cowlThing(iV16463)
    | ~ cC62(iV16463)
    | ~ cC38(iV16462)
    | ~ cowlThing(iV16462)
    | ~ cC42(iV16461)
    | ~ cC56(iV16461)
    | ~ cowlThing(iV16461)
    | ~ cC44(iV16461)
    | ~ cC38(iV16460)
    | ~ cowlThing(iV16460)
    | ~ cC34(iV16459)
    | ~ cC50(iV16459)
    | ~ cC88(iV16459)
    | ~ cowlThing(iV16459)
    | ~ cC68(iV16459)
    | ~ cC38(iV16457)
    | ~ cowlThing(iV16457)
    | ~ cC42(iV16455)
    | ~ cC56(iV16455)
    | ~ cowlThing(iV16455)
    | ~ cC44(iV16455)
    | ~ cC60(iV16453)
    | ~ cC76(iV16453)
    | ~ cowlThing(iV16453)
    | ~ cC62(iV16453)
    | ~ cC38(iV16448)
    | ~ cowlThing(iV16448)
    | ~ cC98(iV16440)
    | ~ cC82(iV16440)
    | ~ cowlThing(iV16440)
    | ~ cC80(iV16440)
    | ~ cC104(iV16439)
    | ~ cC108(iV16439)
    | ~ cowlThing(iV16439)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC106(iV16439)
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) ) ),
    inference(ennf_transformation,[],[f203]) ).

fof(f248,plain,
    ! [X0] :
      ( ( ~ xsd_string(X0)
        | ~ xsd_integer(X0) )
      & ( xsd_integer(X0)
        | xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f257,plain,
    ! [X0] :
      ( ( ~ cC106(X0)
        | ( cC104(X0)
          & ~ cC100(X0) ) )
      & ( ~ cC104(X0)
        | cC100(X0)
        | cC106(X0) ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f258,plain,
    ! [X0] :
      ( ( ~ cC106(X0)
        | ( cC104(X0)
          & ~ cC100(X0) ) )
      & ( ~ cC104(X0)
        | cC100(X0)
        | cC106(X0) ) ),
    inference(flattening,[],[f257]) ).

fof(f259,plain,
    ! [X0] :
      ( ( ~ cC108(X0)
        | ( cC106(X0)
          & cC28(X0) ) )
      & ( ~ cC106(X0)
        | ~ cC28(X0)
        | cC108(X0) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f260,plain,
    ! [X0] :
      ( ( ~ cC108(X0)
        | ( cC106(X0)
          & cC28(X0) ) )
      & ( ~ cC106(X0)
        | ~ cC28(X0)
        | cC108(X0) ) ),
    inference(flattening,[],[f259]) ).

fof(f307,plain,
    ! [X0] :
      ( ( ~ cC34(X0)
        | ( ~ cC30(X0)
          & ~ cC32(X0) ) )
      & ( cC30(X0)
        | cC32(X0)
        | cC34(X0) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f308,plain,
    ! [X0] :
      ( ( ~ cC34(X0)
        | ( ~ cC30(X0)
          & ~ cC32(X0) ) )
      & ( cC30(X0)
        | cC32(X0)
        | cC34(X0) ) ),
    inference(flattening,[],[f307]) ).

fof(f312,plain,
    ! [X0] :
      ( ( ~ cC38(X0)
        | ( cTOP(X0)
          & ~ cC36(X0) ) )
      & ( ~ cTOP(X0)
        | cC36(X0)
        | cC38(X0) ) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f313,plain,
    ! [X0] :
      ( ( ~ cC38(X0)
        | ( cTOP(X0)
          & ~ cC36(X0) ) )
      & ( ~ cTOP(X0)
        | cC36(X0)
        | cC38(X0) ) ),
    inference(flattening,[],[f312]) ).

fof(f317,plain,
    ! [X0] :
      ( ( ~ cC42(X0)
        | ? [X1] :
            ( ~ cC8(X1)
            & rR1(X0,X1) ) )
      & ( ! [X1] :
            ( cC8(X1)
            | ~ rR1(X0,X1) )
        | cC42(X0) ) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f318,plain,
    ! [X0] :
      ( ( ~ cC42(X0)
        | ? [X2] :
            ( ~ cC8(X2)
            & rR1(X0,X2) ) )
      & ( ! [X1] :
            ( cC8(X1)
            | ~ rR1(X0,X1) )
        | cC42(X0) ) ),
    inference(rectify,[],[f317]) ).

fof(f319,plain,
    ! [X0] :
      ( ( ~ cC42(X0)
        | ( ~ cC8(sK14(X0))
          & rR1(X0,sK14(X0)) ) )
      & ( ! [X1] :
            ( cC8(X1)
            | ~ rR1(X0,X1) )
        | cC42(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X2,sK14(X0))],[f318]) ).

fof(f320,plain,
    ! [X0] :
      ( ( ~ cC44(X0)
        | ( cC42(X0)
          & ~ cC40(X0) ) )
      & ( ~ cC42(X0)
        | cC40(X0)
        | cC44(X0) ) ),
    inference(nnf_transformation,[],[f31]) ).

fof(f321,plain,
    ! [X0] :
      ( ( ~ cC44(X0)
        | ( cC42(X0)
          & ~ cC40(X0) ) )
      & ( ~ cC42(X0)
        | cC40(X0)
        | cC44(X0) ) ),
    inference(flattening,[],[f320]) ).

fof(f326,plain,
    ! [X0] :
      ( ( ~ cC50(X0)
        | ( ~ cC48(X0)
          & ~ cC46(X0) ) )
      & ( cC48(X0)
        | cC46(X0)
        | cC50(X0) ) ),
    inference(nnf_transformation,[],[f34]) ).

fof(f327,plain,
    ! [X0] :
      ( ( ~ cC50(X0)
        | ( ~ cC48(X0)
          & ~ cC46(X0) ) )
      & ( cC48(X0)
        | cC46(X0)
        | cC50(X0) ) ),
    inference(flattening,[],[f326]) ).

fof(f334,plain,
    ! [X0] :
      ( ( ~ cC56(X0)
        | ( ~ cC54(X0)
          & cC44(X0) ) )
      & ( cC54(X0)
        | ~ cC44(X0)
        | cC56(X0) ) ),
    inference(nnf_transformation,[],[f37]) ).

fof(f335,plain,
    ! [X0] :
      ( ( ~ cC56(X0)
        | ( ~ cC54(X0)
          & cC44(X0) ) )
      & ( cC54(X0)
        | ~ cC44(X0)
        | cC56(X0) ) ),
    inference(flattening,[],[f334]) ).

fof(f341,plain,
    ! [X0] :
      ( ( ~ cC60(X0)
        | ? [X1] :
            ( ~ cC12(X1)
            & rR1(X0,X1) ) )
      & ( ! [X1] :
            ( cC12(X1)
            | ~ rR1(X0,X1) )
        | cC60(X0) ) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f342,plain,
    ! [X0] :
      ( ( ~ cC60(X0)
        | ? [X2] :
            ( ~ cC12(X2)
            & rR1(X0,X2) ) )
      & ( ! [X1] :
            ( cC12(X1)
            | ~ rR1(X0,X1) )
        | cC60(X0) ) ),
    inference(rectify,[],[f341]) ).

fof(f343,plain,
    ! [X0] :
      ( ( ~ cC60(X0)
        | ( ~ cC12(sK18(X0))
          & rR1(X0,sK18(X0)) ) )
      & ( ! [X1] :
            ( cC12(X1)
            | ~ rR1(X0,X1) )
        | cC60(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X2,sK18(X0))],[f342]) ).

fof(f344,plain,
    ! [X0] :
      ( ( ~ cC62(X0)
        | ( ~ cC58(X0)
          & cC60(X0) ) )
      & ( cC58(X0)
        | ~ cC60(X0)
        | cC62(X0) ) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f345,plain,
    ! [X0] :
      ( ( ~ cC62(X0)
        | ( ~ cC58(X0)
          & cC60(X0) ) )
      & ( cC58(X0)
        | ~ cC60(X0)
        | cC62(X0) ) ),
    inference(flattening,[],[f344]) ).

fof(f350,plain,
    ! [X0] :
      ( ( ~ cC68(X0)
        | ( ~ cC66(X0)
          & ~ cC64(X0) ) )
      & ( cC66(X0)
        | cC64(X0)
        | cC68(X0) ) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f351,plain,
    ! [X0] :
      ( ( ~ cC68(X0)
        | ( ~ cC66(X0)
          & ~ cC64(X0) ) )
      & ( cC66(X0)
        | cC64(X0)
        | cC68(X0) ) ),
    inference(flattening,[],[f350]) ).

fof(f361,plain,
    ! [X0] :
      ( ( ~ cC76(X0)
        | ( cC62(X0)
          & ~ cC74(X0) ) )
      & ( ~ cC62(X0)
        | cC74(X0)
        | cC76(X0) ) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f362,plain,
    ! [X0] :
      ( ( ~ cC76(X0)
        | ( cC62(X0)
          & ~ cC74(X0) ) )
      & ( ~ cC62(X0)
        | cC74(X0)
        | cC76(X0) ) ),
    inference(flattening,[],[f361]) ).

fof(f369,plain,
    ! [X0] :
      ( ( ~ cC82(X0)
        | ( cC80(X0)
          & ~ cC78(X0) ) )
      & ( ~ cC80(X0)
        | cC78(X0)
        | cC82(X0) ) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f370,plain,
    ! [X0] :
      ( ( ~ cC82(X0)
        | ( cC80(X0)
          & ~ cC78(X0) ) )
      & ( ~ cC80(X0)
        | cC78(X0)
        | cC82(X0) ) ),
    inference(flattening,[],[f369]) ).

fof(f375,plain,
    ! [X0] :
      ( ( ~ cC88(X0)
        | ( ~ cC86(X0)
          & ~ cC84(X0) ) )
      & ( cC86(X0)
        | cC84(X0)
        | cC88(X0) ) ),
    inference(nnf_transformation,[],[f54]) ).

fof(f376,plain,
    ! [X0] :
      ( ( ~ cC88(X0)
        | ( ~ cC86(X0)
          & ~ cC84(X0) ) )
      & ( cC86(X0)
        | cC84(X0)
        | cC88(X0) ) ),
    inference(flattening,[],[f375]) ).

fof(f389,plain,
    ! [X0] :
      ( ( ~ cC98(X0)
        | ( cC82(X0)
          & ~ cC96(X0) ) )
      & ( ~ cC82(X0)
        | cC96(X0)
        | cC98(X0) ) ),
    inference(nnf_transformation,[],[f59]) ).

fof(f390,plain,
    ! [X0] :
      ( ( ~ cC98(X0)
        | ( cC82(X0)
          & ~ cC96(X0) ) )
      & ( ~ cC82(X0)
        | cC96(X0)
        | cC98(X0) ) ),
    inference(flattening,[],[f389]) ).

fof(f391,plain,
    ( ~ cC38(iV16465)
    | ~ cowlThing(iV16465)
    | ~ cC42(iV16464)
    | ~ cC56(iV16464)
    | ~ cowlThing(iV16464)
    | ~ cC44(iV16464)
    | ~ cC60(iV16463)
    | ~ cC76(iV16463)
    | ~ cowlThing(iV16463)
    | ~ cC62(iV16463)
    | ~ cC38(iV16462)
    | ~ cowlThing(iV16462)
    | ~ cC42(iV16461)
    | ~ cC56(iV16461)
    | ~ cowlThing(iV16461)
    | ~ cC44(iV16461)
    | ~ cC38(iV16460)
    | ~ cowlThing(iV16460)
    | ~ cC34(iV16459)
    | ~ cC50(iV16459)
    | ~ cC88(iV16459)
    | ~ cowlThing(iV16459)
    | ~ cC68(iV16459)
    | ~ cC38(iV16457)
    | ~ cowlThing(iV16457)
    | ~ cC42(iV16455)
    | ~ cC56(iV16455)
    | ~ cowlThing(iV16455)
    | ~ cC44(iV16455)
    | ~ cC60(iV16453)
    | ~ cC76(iV16453)
    | ~ cowlThing(iV16453)
    | ~ cC62(iV16453)
    | ~ cC38(iV16448)
    | ~ cowlThing(iV16448)
    | ~ cC98(iV16440)
    | ~ cC82(iV16440)
    | ~ cowlThing(iV16440)
    | ~ cC80(iV16440)
    | ~ cC104(iV16439)
    | ~ cC108(iV16439)
    | ~ cowlThing(iV16439)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC106(iV16439)
    | ? [X1] :
        ( ( xsd_string(X1)
          | ~ xsd_integer(X1) )
        & ( ~ xsd_string(X1)
          | xsd_integer(X1) ) )
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) ) ),
    inference(nnf_transformation,[],[f247]) ).

fof(f392,plain,
    ( ~ cC38(iV16465)
    | ~ cowlThing(iV16465)
    | ~ cC42(iV16464)
    | ~ cC56(iV16464)
    | ~ cowlThing(iV16464)
    | ~ cC44(iV16464)
    | ~ cC60(iV16463)
    | ~ cC76(iV16463)
    | ~ cowlThing(iV16463)
    | ~ cC62(iV16463)
    | ~ cC38(iV16462)
    | ~ cowlThing(iV16462)
    | ~ cC42(iV16461)
    | ~ cC56(iV16461)
    | ~ cowlThing(iV16461)
    | ~ cC44(iV16461)
    | ~ cC38(iV16460)
    | ~ cowlThing(iV16460)
    | ~ cC34(iV16459)
    | ~ cC50(iV16459)
    | ~ cC88(iV16459)
    | ~ cowlThing(iV16459)
    | ~ cC68(iV16459)
    | ~ cC38(iV16457)
    | ~ cowlThing(iV16457)
    | ~ cC42(iV16455)
    | ~ cC56(iV16455)
    | ~ cowlThing(iV16455)
    | ~ cC44(iV16455)
    | ~ cC60(iV16453)
    | ~ cC76(iV16453)
    | ~ cowlThing(iV16453)
    | ~ cC62(iV16453)
    | ~ cC38(iV16448)
    | ~ cowlThing(iV16448)
    | ~ cC98(iV16440)
    | ~ cC82(iV16440)
    | ~ cowlThing(iV16440)
    | ~ cC80(iV16440)
    | ~ cC104(iV16439)
    | ~ cC108(iV16439)
    | ~ cowlThing(iV16439)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC106(iV16439)
    | ( ( xsd_string(sK29)
        | ~ xsd_integer(sK29) )
      & ( ~ xsd_string(sK29)
        | xsd_integer(sK29) ) )
    | cowlNothing(sK28)
    | ~ cowlThing(sK28) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK28,sK29]),skolemize(X0,sK28),skolemize(X1,sK29)],[f391]) ).

fof(f393,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f394,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f395,plain,
    ! [X0] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[],[f248]) ).

fof(f396,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f248]) ).

fof(f406,plain,
    ! [X0] :
      ( ~ cC106(X0)
      | cC104(X0) ),
    inference(cnf_transformation,[],[f258]) ).

fof(f409,plain,
    ! [X0] :
      ( ~ cC108(X0)
      | cC106(X0) ),
    inference(cnf_transformation,[],[f260]) ).

fof(f410,plain,
    ! [X0] :
      ( ~ cC108(X0)
      | cC28(X0) ),
    inference(cnf_transformation,[],[f260]) ).

fof(f468,plain,
    ! [X0] :
      ( cC30(X0)
      | cC32(X0)
      | cC34(X0) ),
    inference(cnf_transformation,[],[f308]) ).

fof(f474,plain,
    ! [X0] :
      ( ~ cTOP(X0)
      | cC36(X0)
      | cC38(X0) ),
    inference(cnf_transformation,[],[f313]) ).

fof(f480,plain,
    ! [X0,X1] :
      ( cC8(X1)
      | ~ rR1(X0,X1)
      | cC42(X0) ),
    inference(cnf_transformation,[],[f319]) ).

fof(f481,plain,
    ! [X0] :
      ( ~ cC44(X0)
      | cC42(X0) ),
    inference(cnf_transformation,[],[f321]) ).

fof(f483,plain,
    ! [X0] :
      ( ~ cC42(X0)
      | cC40(X0)
      | cC44(X0) ),
    inference(cnf_transformation,[],[f321]) ).

fof(f492,plain,
    ! [X0] :
      ( cC48(X0)
      | cC46(X0)
      | cC50(X0) ),
    inference(cnf_transformation,[],[f327]) ).

fof(f500,plain,
    ! [X0] :
      ( ~ cC56(X0)
      | cC44(X0) ),
    inference(cnf_transformation,[],[f335]) ).

fof(f501,plain,
    ! [X0] :
      ( cC54(X0)
      | ~ cC44(X0)
      | cC56(X0) ),
    inference(cnf_transformation,[],[f335]) ).

fof(f510,plain,
    ! [X0,X1] :
      ( cC12(X1)
      | ~ rR1(X0,X1)
      | cC60(X0) ),
    inference(cnf_transformation,[],[f343]) ).

fof(f512,plain,
    ! [X0] :
      ( ~ cC62(X0)
      | cC60(X0) ),
    inference(cnf_transformation,[],[f345]) ).

fof(f513,plain,
    ! [X0] :
      ( cC58(X0)
      | ~ cC60(X0)
      | cC62(X0) ),
    inference(cnf_transformation,[],[f345]) ).

fof(f522,plain,
    ! [X0] :
      ( cC66(X0)
      | cC64(X0)
      | cC68(X0) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f532,plain,
    ! [X0] :
      ( ~ cC76(X0)
      | cC62(X0) ),
    inference(cnf_transformation,[],[f362]) ).

fof(f534,plain,
    ! [X0] :
      ( ~ cC62(X0)
      | cC74(X0)
      | cC76(X0) ),
    inference(cnf_transformation,[],[f362]) ).

fof(f541,plain,
    ! [X0] :
      ( ~ cC82(X0)
      | cC80(X0) ),
    inference(cnf_transformation,[],[f370]) ).

fof(f552,plain,
    ! [X0] :
      ( cC86(X0)
      | cC84(X0)
      | cC88(X0) ),
    inference(cnf_transformation,[],[f376]) ).

fof(f565,plain,
    ! [X0] :
      ( ~ cC98(X0)
      | cC82(X0) ),
    inference(cnf_transformation,[],[f390]) ).

fof(f568,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC130(X0) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f569,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC108(X0) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f570,plain,
    ! [X0] :
      ( ~ rR1(iV16439,X0)
      | cC98(X0) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f571,plain,
    cTEST(iV16439),
    inference(cnf_transformation,[],[f62]) ).

fof(f573,plain,
    cowlThing(iV16439),
    inference(cnf_transformation,[],[f64]) ).

fof(f574,plain,
    rR1(iV16439,iV16440),
    inference(cnf_transformation,[],[f65]) ).

fof(f577,plain,
    ! [X0] :
      ( ~ rR1(iV16440,X0)
      | cC76(X0) ),
    inference(cnf_transformation,[],[f207]) ).

fof(f582,plain,
    cowlThing(iV16440),
    inference(cnf_transformation,[],[f73]) ).

fof(f583,plain,
    rR1(iV16440,iV16463),
    inference(cnf_transformation,[],[f74]) ).

fof(f586,plain,
    ~ cC36(iV16448),
    inference(cnf_transformation,[],[f77]) ).

fof(f589,plain,
    cTOP(iV16448),
    inference(cnf_transformation,[],[f80]) ).

fof(f594,plain,
    cowlThing(iV16448),
    inference(cnf_transformation,[],[f85]) ).

fof(f601,plain,
    ~ cC58(iV16453),
    inference(cnf_transformation,[],[f92]) ).

fof(f602,plain,
    ~ cC74(iV16453),
    inference(cnf_transformation,[],[f93]) ).

fof(f603,plain,
    ! [X0] :
      ( ~ rR1(iV16453,X0)
      | cC56(X0) ),
    inference(cnf_transformation,[],[f215]) ).

fof(f604,plain,
    cowlThing(iV16453),
    inference(cnf_transformation,[],[f95]) ).

fof(f606,plain,
    rR1(iV16453,iV16461),
    inference(cnf_transformation,[],[f97]) ).

fof(f608,plain,
    ~ cC40(iV16455),
    inference(cnf_transformation,[],[f99]) ).

fof(f613,plain,
    ~ cC54(iV16455),
    inference(cnf_transformation,[],[f104]) ).

fof(f615,plain,
    cowlThing(iV16455),
    inference(cnf_transformation,[],[f106]) ).

fof(f617,plain,
    rR1(iV16455,iV16460),
    inference(cnf_transformation,[],[f108]) ).

fof(f618,plain,
    ~ cC36(iV16457),
    inference(cnf_transformation,[],[f109]) ).

fof(f623,plain,
    cTOP(iV16457),
    inference(cnf_transformation,[],[f114]) ).

fof(f627,plain,
    cowlThing(iV16457),
    inference(cnf_transformation,[],[f118]) ).

fof(f630,plain,
    ~ cC48(iV16459),
    inference(cnf_transformation,[],[f121]) ).

fof(f631,plain,
    ~ cC30(iV16459),
    inference(cnf_transformation,[],[f122]) ).

fof(f633,plain,
    ~ cC86(iV16459),
    inference(cnf_transformation,[],[f124]) ).

fof(f634,plain,
    ~ cC46(iV16459),
    inference(cnf_transformation,[],[f125]) ).

fof(f637,plain,
    ~ cC66(iV16459),
    inference(cnf_transformation,[],[f128]) ).

fof(f642,plain,
    ~ cC84(iV16459),
    inference(cnf_transformation,[],[f133]) ).

fof(f643,plain,
    ~ cC64(iV16459),
    inference(cnf_transformation,[],[f134]) ).

fof(f644,plain,
    cowlThing(iV16459),
    inference(cnf_transformation,[],[f135]) ).

fof(f645,plain,
    ~ cC32(iV16459),
    inference(cnf_transformation,[],[f136]) ).

fof(f647,plain,
    ~ cC36(iV16460),
    inference(cnf_transformation,[],[f138]) ).

fof(f650,plain,
    cTOP(iV16460),
    inference(cnf_transformation,[],[f141]) ).

fof(f651,plain,
    ~ cC8(iV16460),
    inference(cnf_transformation,[],[f142]) ).

fof(f656,plain,
    cowlThing(iV16460),
    inference(cnf_transformation,[],[f147]) ).

fof(f661,plain,
    ~ cC12(iV16461),
    inference(cnf_transformation,[],[f152]) ).

fof(f665,plain,
    cowlThing(iV16461),
    inference(cnf_transformation,[],[f156]) ).

fof(f671,plain,
    ~ cC36(iV16462),
    inference(cnf_transformation,[],[f162]) ).

fof(f672,plain,
    cTOP(iV16462),
    inference(cnf_transformation,[],[f163]) ).

fof(f678,plain,
    cowlThing(iV16462),
    inference(cnf_transformation,[],[f169]) ).

fof(f681,plain,
    ! [X0] :
      ( ~ rR1(iV16463,X0)
      | cC56(X0) ),
    inference(cnf_transformation,[],[f237]) ).

fof(f686,plain,
    cowlThing(iV16463),
    inference(cnf_transformation,[],[f177]) ).

fof(f687,plain,
    rR1(iV16463,iV16464),
    inference(cnf_transformation,[],[f178]) ).

fof(f697,plain,
    cowlThing(iV16464),
    inference(cnf_transformation,[],[f188]) ).

fof(f705,plain,
    ~ cC36(iV16465),
    inference(cnf_transformation,[],[f196]) ).

fof(f706,plain,
    cTOP(iV16465),
    inference(cnf_transformation,[],[f197]) ).

fof(f708,plain,
    cowlThing(iV16465),
    inference(cnf_transformation,[],[f199]) ).

fof(f710,plain,
    ( ~ cC38(iV16465)
    | ~ cowlThing(iV16465)
    | ~ cC42(iV16464)
    | ~ cC56(iV16464)
    | ~ cowlThing(iV16464)
    | ~ cC44(iV16464)
    | ~ cC60(iV16463)
    | ~ cC76(iV16463)
    | ~ cowlThing(iV16463)
    | ~ cC62(iV16463)
    | ~ cC38(iV16462)
    | ~ cowlThing(iV16462)
    | ~ cC42(iV16461)
    | ~ cC56(iV16461)
    | ~ cowlThing(iV16461)
    | ~ cC44(iV16461)
    | ~ cC38(iV16460)
    | ~ cowlThing(iV16460)
    | ~ cC34(iV16459)
    | ~ cC50(iV16459)
    | ~ cC88(iV16459)
    | ~ cowlThing(iV16459)
    | ~ cC68(iV16459)
    | ~ cC38(iV16457)
    | ~ cowlThing(iV16457)
    | ~ cC42(iV16455)
    | ~ cC56(iV16455)
    | ~ cowlThing(iV16455)
    | ~ cC44(iV16455)
    | ~ cC60(iV16453)
    | ~ cC76(iV16453)
    | ~ cowlThing(iV16453)
    | ~ cC62(iV16453)
    | ~ cC38(iV16448)
    | ~ cowlThing(iV16448)
    | ~ cC98(iV16440)
    | ~ cC82(iV16440)
    | ~ cowlThing(iV16440)
    | ~ cC80(iV16440)
    | ~ cC104(iV16439)
    | ~ cC108(iV16439)
    | ~ cowlThing(iV16439)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC106(iV16439)
    | xsd_string(sK29)
    | ~ xsd_integer(sK29)
    | cowlNothing(sK28)
    | ~ cowlThing(sK28) ),
    inference(cnf_transformation,[],[f392]) ).

fof(f711,plain,
    ( ~ cC38(iV16465)
    | ~ cowlThing(iV16465)
    | ~ cC42(iV16464)
    | ~ cC56(iV16464)
    | ~ cowlThing(iV16464)
    | ~ cC44(iV16464)
    | ~ cC60(iV16463)
    | ~ cC76(iV16463)
    | ~ cowlThing(iV16463)
    | ~ cC62(iV16463)
    | ~ cC38(iV16462)
    | ~ cowlThing(iV16462)
    | ~ cC42(iV16461)
    | ~ cC56(iV16461)
    | ~ cowlThing(iV16461)
    | ~ cC44(iV16461)
    | ~ cC38(iV16460)
    | ~ cowlThing(iV16460)
    | ~ cC34(iV16459)
    | ~ cC50(iV16459)
    | ~ cC88(iV16459)
    | ~ cowlThing(iV16459)
    | ~ cC68(iV16459)
    | ~ cC38(iV16457)
    | ~ cowlThing(iV16457)
    | ~ cC42(iV16455)
    | ~ cC56(iV16455)
    | ~ cowlThing(iV16455)
    | ~ cC44(iV16455)
    | ~ cC60(iV16453)
    | ~ cC76(iV16453)
    | ~ cowlThing(iV16453)
    | ~ cC62(iV16453)
    | ~ cC38(iV16448)
    | ~ cowlThing(iV16448)
    | ~ cC98(iV16440)
    | ~ cC82(iV16440)
    | ~ cowlThing(iV16440)
    | ~ cC80(iV16440)
    | ~ cC104(iV16439)
    | ~ cC108(iV16439)
    | ~ cowlThing(iV16439)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC106(iV16439)
    | ~ xsd_string(sK29)
    | xsd_integer(sK29)
    | cowlNothing(sK28)
    | ~ cowlThing(sK28) ),
    inference(cnf_transformation,[],[f392]) ).

tcf(c_49,plain,
    ! [X0: $i] : cowlThing(X0),
    inference(cnf_transformation,[],[f394]) ).

tcf(c_50,plain,
    ! [X0: $i] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f393]) ).

tcf(c_51,plain,
    ! [X0: $i] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f396]) ).

tcf(c_52,plain,
    ! [X0: $i] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f395]) ).

tcf(c_64,plain,
    ! [X0: $i] :
      ( cC104(X0)
      | ~ cC106(X0) ),
    inference(cnf_transformation,[],[f406]) ).

tcf(c_66,plain,
    ! [X0: $i] :
      ( cC28(X0)
      | ~ cC108(X0) ),
    inference(cnf_transformation,[],[f410]) ).

tcf(c_67,plain,
    ! [X0: $i] :
      ( cC106(X0)
      | ~ cC108(X0) ),
    inference(cnf_transformation,[],[f409]) ).

tcf(c_122,plain,
    ! [X0: $i] :
      ( cC34(X0)
      | cC32(X0)
      | cC30(X0) ),
    inference(cnf_transformation,[],[f468]) ).

tcf(c_128,plain,
    ! [X0: $i] :
      ( cC38(X0)
      | cC36(X0)
      | ~ cTOP(X0) ),
    inference(cnf_transformation,[],[f474]) ).

tcf(c_134,plain,
    ! [X0: $i,X1: $i] :
      ( cC42(X0)
      | cC8(X1)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f480]) ).

tcf(c_137,plain,
    ! [X0: $i] :
      ( cC44(X0)
      | cC40(X0)
      | ~ cC42(X0) ),
    inference(cnf_transformation,[],[f483]) ).

tcf(c_139,plain,
    ! [X0: $i] :
      ( cC42(X0)
      | ~ cC44(X0) ),
    inference(cnf_transformation,[],[f481]) ).

tcf(c_146,plain,
    ! [X0: $i] :
      ( cC50(X0)
      | cC48(X0)
      | cC46(X0) ),
    inference(cnf_transformation,[],[f492]) ).

tcf(c_155,plain,
    ! [X0: $i] :
      ( cC56(X0)
      | cC54(X0)
      | ~ cC44(X0) ),
    inference(cnf_transformation,[],[f501]) ).

tcf(c_156,plain,
    ! [X0: $i] :
      ( cC44(X0)
      | ~ cC56(X0) ),
    inference(cnf_transformation,[],[f500]) ).

tcf(c_164,plain,
    ! [X0: $i,X1: $i] :
      ( cC60(X0)
      | cC12(X1)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f510]) ).

tcf(c_167,plain,
    ! [X0: $i] :
      ( cC62(X0)
      | cC58(X0)
      | ~ cC60(X0) ),
    inference(cnf_transformation,[],[f513]) ).

tcf(c_168,plain,
    ! [X0: $i] :
      ( cC60(X0)
      | ~ cC62(X0) ),
    inference(cnf_transformation,[],[f512]) ).

tcf(c_176,plain,
    ! [X0: $i] :
      ( cC68(X0)
      | cC66(X0)
      | cC64(X0) ),
    inference(cnf_transformation,[],[f522]) ).

tcf(c_188,plain,
    ! [X0: $i] :
      ( cC76(X0)
      | cC74(X0)
      | ~ cC62(X0) ),
    inference(cnf_transformation,[],[f534]) ).

tcf(c_190,plain,
    ! [X0: $i] :
      ( cC62(X0)
      | ~ cC76(X0) ),
    inference(cnf_transformation,[],[f532]) ).

tcf(c_199,plain,
    ! [X0: $i] :
      ( cC80(X0)
      | ~ cC82(X0) ),
    inference(cnf_transformation,[],[f541]) ).

tcf(c_206,plain,
    ! [X0: $i] :
      ( cC88(X0)
      | cC86(X0)
      | cC84(X0) ),
    inference(cnf_transformation,[],[f552]) ).

tcf(c_223,plain,
    ! [X0: $i] :
      ( cC82(X0)
      | ~ cC98(X0) ),
    inference(cnf_transformation,[],[f565]) ).

tcf(c_224,plain,
    ! [X0: $i] :
      ( cC108(X0)
      | ~ cTEST(X0) ),
    inference(cnf_transformation,[],[f569]) ).

tcf(c_225,plain,
    ! [X0: $i] :
      ( cC130(X0)
      | ~ cTEST(X0) ),
    inference(cnf_transformation,[],[f568]) ).

tcf(c_226,plain,
    ! [X0: $i] :
      ( cC98(X0)
      | ~ rR1(iV16439,X0) ),
    inference(cnf_transformation,[],[f570]) ).

tcf(c_227,plain,
    cTEST(iV16439),
    inference(cnf_transformation,[],[f571]) ).

tcf(c_229,plain,
    cowlThing(iV16439),
    inference(cnf_transformation,[],[f573]) ).

tcf(c_230,plain,
    rR1(iV16439,iV16440),
    inference(cnf_transformation,[],[f574]) ).

tcf(c_233,plain,
    ! [X0: $i] :
      ( cC76(X0)
      | ~ rR1(iV16440,X0) ),
    inference(cnf_transformation,[],[f577]) ).

tcf(c_238,plain,
    cowlThing(iV16440),
    inference(cnf_transformation,[],[f582]) ).

tcf(c_239,plain,
    rR1(iV16440,iV16463),
    inference(cnf_transformation,[],[f583]) ).

tcf(c_242,plain,
    ~ cC36(iV16448),
    inference(cnf_transformation,[],[f586]) ).

tcf(c_245,plain,
    cTOP(iV16448),
    inference(cnf_transformation,[],[f589]) ).

tcf(c_250,plain,
    cowlThing(iV16448),
    inference(cnf_transformation,[],[f594]) ).

tcf(c_257,plain,
    ~ cC58(iV16453),
    inference(cnf_transformation,[],[f601]) ).

tcf(c_258,plain,
    ~ cC74(iV16453),
    inference(cnf_transformation,[],[f602]) ).

tcf(c_259,plain,
    ! [X0: $i] :
      ( cC56(X0)
      | ~ rR1(iV16453,X0) ),
    inference(cnf_transformation,[],[f603]) ).

tcf(c_260,plain,
    cowlThing(iV16453),
    inference(cnf_transformation,[],[f604]) ).

tcf(c_262,plain,
    rR1(iV16453,iV16461),
    inference(cnf_transformation,[],[f606]) ).

tcf(c_264,plain,
    ~ cC40(iV16455),
    inference(cnf_transformation,[],[f608]) ).

tcf(c_269,plain,
    ~ cC54(iV16455),
    inference(cnf_transformation,[],[f613]) ).

tcf(c_271,plain,
    cowlThing(iV16455),
    inference(cnf_transformation,[],[f615]) ).

tcf(c_273,plain,
    rR1(iV16455,iV16460),
    inference(cnf_transformation,[],[f617]) ).

tcf(c_274,plain,
    ~ cC36(iV16457),
    inference(cnf_transformation,[],[f618]) ).

tcf(c_279,plain,
    cTOP(iV16457),
    inference(cnf_transformation,[],[f623]) ).

tcf(c_283,plain,
    cowlThing(iV16457),
    inference(cnf_transformation,[],[f627]) ).

tcf(c_286,plain,
    ~ cC48(iV16459),
    inference(cnf_transformation,[],[f630]) ).

tcf(c_287,plain,
    ~ cC30(iV16459),
    inference(cnf_transformation,[],[f631]) ).

tcf(c_289,plain,
    ~ cC86(iV16459),
    inference(cnf_transformation,[],[f633]) ).

tcf(c_290,plain,
    ~ cC46(iV16459),
    inference(cnf_transformation,[],[f634]) ).

tcf(c_293,plain,
    ~ cC66(iV16459),
    inference(cnf_transformation,[],[f637]) ).

tcf(c_298,plain,
    ~ cC84(iV16459),
    inference(cnf_transformation,[],[f642]) ).

tcf(c_299,plain,
    ~ cC64(iV16459),
    inference(cnf_transformation,[],[f643]) ).

tcf(c_300,plain,
    cowlThing(iV16459),
    inference(cnf_transformation,[],[f644]) ).

tcf(c_301,plain,
    ~ cC32(iV16459),
    inference(cnf_transformation,[],[f645]) ).

tcf(c_303,plain,
    ~ cC36(iV16460),
    inference(cnf_transformation,[],[f647]) ).

tcf(c_306,plain,
    cTOP(iV16460),
    inference(cnf_transformation,[],[f650]) ).

tcf(c_307,plain,
    ~ cC8(iV16460),
    inference(cnf_transformation,[],[f651]) ).

tcf(c_312,plain,
    cowlThing(iV16460),
    inference(cnf_transformation,[],[f656]) ).

tcf(c_317,plain,
    ~ cC12(iV16461),
    inference(cnf_transformation,[],[f661]) ).

tcf(c_321,plain,
    cowlThing(iV16461),
    inference(cnf_transformation,[],[f665]) ).

tcf(c_327,plain,
    ~ cC36(iV16462),
    inference(cnf_transformation,[],[f671]) ).

tcf(c_328,plain,
    cTOP(iV16462),
    inference(cnf_transformation,[],[f672]) ).

tcf(c_334,plain,
    cowlThing(iV16462),
    inference(cnf_transformation,[],[f678]) ).

tcf(c_337,plain,
    ! [X0: $i] :
      ( cC56(X0)
      | ~ rR1(iV16463,X0) ),
    inference(cnf_transformation,[],[f681]) ).

tcf(c_342,plain,
    cowlThing(iV16463),
    inference(cnf_transformation,[],[f686]) ).

tcf(c_343,plain,
    rR1(iV16463,iV16464),
    inference(cnf_transformation,[],[f687]) ).

tcf(c_353,plain,
    cowlThing(iV16464),
    inference(cnf_transformation,[],[f697]) ).

tcf(c_361,plain,
    ~ cC36(iV16465),
    inference(cnf_transformation,[],[f705]) ).

tcf(c_362,plain,
    cTOP(iV16465),
    inference(cnf_transformation,[],[f706]) ).

tcf(c_364,plain,
    cowlThing(iV16465),
    inference(cnf_transformation,[],[f708]) ).

tcf(c_366,negated_conjecture,
    ( xsd_integer(sK29)
    | cowlNothing(sK28)
    | ~ cC88(iV16459)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC68(iV16459)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC50(iV16459)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC44(iV16461)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC42(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC34(iV16459)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC108(iV16439)
    | ~ cC106(iV16439)
    | ~ cC104(iV16439)
    | ~ cC98(iV16440)
    | ~ xsd_string(sK29)
    | ~ cowlThing(sK28)
    | ~ cowlThing(iV16465)
    | ~ cowlThing(iV16464)
    | ~ cowlThing(iV16462)
    | ~ cowlThing(iV16459)
    | ~ cowlThing(iV16457)
    | ~ cowlThing(iV16460)
    | ~ cowlThing(iV16455)
    | ~ cowlThing(iV16461)
    | ~ cowlThing(iV16453)
    | ~ cowlThing(iV16448)
    | ~ cowlThing(iV16463)
    | ~ cowlThing(iV16440)
    | ~ cowlThing(iV16439) ),
    inference(cnf_transformation,[],[f711]) ).

tcf(c_367,negated_conjecture,
    ( xsd_string(sK29)
    | cowlNothing(sK28)
    | ~ cC88(iV16459)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC68(iV16459)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC50(iV16459)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC44(iV16461)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC42(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC34(iV16459)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC108(iV16439)
    | ~ cC106(iV16439)
    | ~ cC104(iV16439)
    | ~ cC98(iV16440)
    | ~ xsd_integer(sK29)
    | ~ cowlThing(sK28)
    | ~ cowlThing(iV16465)
    | ~ cowlThing(iV16464)
    | ~ cowlThing(iV16462)
    | ~ cowlThing(iV16459)
    | ~ cowlThing(iV16457)
    | ~ cowlThing(iV16460)
    | ~ cowlThing(iV16455)
    | ~ cowlThing(iV16461)
    | ~ cowlThing(iV16453)
    | ~ cowlThing(iV16448)
    | ~ cowlThing(iV16463)
    | ~ cowlThing(iV16440)
    | ~ cowlThing(iV16439) ),
    inference(cnf_transformation,[],[f710]) ).

tcf(c_416,plain,
    ( cC88(iV16459)
    | cC86(iV16459)
    | cC84(iV16459) ),
    inference(instantiation,[status(thm)],[c_206]) ).

tcf(c_421,plain,
    ( cC68(iV16459)
    | cC66(iV16459)
    | cC64(iV16459) ),
    inference(instantiation,[status(thm)],[c_176]) ).

tcf(c_425,plain,
    ( cC50(iV16459)
    | cC48(iV16459)
    | cC46(iV16459) ),
    inference(instantiation,[status(thm)],[c_146]) ).

tcf(c_428,plain,
    ( cC34(iV16459)
    | cC32(iV16459)
    | cC30(iV16459) ),
    inference(instantiation,[status(thm)],[c_122]) ).

tcf(c_539,plain,
    ( xsd_string(sK29)
    | cowlNothing(sK28)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC108(iV16439)
    | ~ cC106(iV16439)
    | ~ cC104(iV16439)
    | ~ cC98(iV16440)
    | ~ xsd_integer(sK29)
    | ~ cowlThing(sK28)
    | ~ cC38(iV16448)
    | ~ cC38(iV16460)
    | ~ cC38(iV16457)
    | ~ cC38(iV16462)
    | ~ cC38(iV16465)
    | ~ cC42(iV16461)
    | ~ cC42(iV16455)
    | ~ cC42(iV16464)
    | ~ cC44(iV16461)
    | ~ cC44(iV16455)
    | ~ cC44(iV16464)
    | ~ cC76(iV16463)
    | ~ cC76(iV16453)
    | ~ cC80(iV16440)
    | ~ cC82(iV16440) ),
    inference(global_subsumption_just,[status(thm)],[c_367,c_364,c_353,c_342,c_334,c_321,c_312,c_300,c_283,c_271,c_260,c_250,c_238,c_229,c_301,c_299,c_298,c_293,c_290,c_289,c_287,c_286,c_416,c_421,c_425,c_428,c_367]) ).

tcf(c_540,negated_conjecture,
    ( xsd_string(sK29)
    | cowlNothing(sK28)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC44(iV16461)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC42(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC108(iV16439)
    | ~ cC106(iV16439)
    | ~ cC104(iV16439)
    | ~ cC98(iV16440)
    | ~ xsd_integer(sK29)
    | ~ cowlThing(sK28) ),
    inference(renaming,[status(thm)],[c_539]) ).

tcf(c_541,plain,
    ( xsd_integer(sK29)
    | cowlNothing(sK28)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC108(iV16439)
    | ~ cC106(iV16439)
    | ~ cC104(iV16439)
    | ~ cC98(iV16440)
    | ~ xsd_string(sK29)
    | ~ cowlThing(sK28)
    | ~ cC38(iV16448)
    | ~ cC38(iV16460)
    | ~ cC38(iV16457)
    | ~ cC38(iV16462)
    | ~ cC38(iV16465)
    | ~ cC42(iV16461)
    | ~ cC42(iV16455)
    | ~ cC42(iV16464)
    | ~ cC44(iV16461)
    | ~ cC44(iV16455)
    | ~ cC44(iV16464)
    | ~ cC76(iV16463)
    | ~ cC76(iV16453)
    | ~ cC80(iV16440)
    | ~ cC82(iV16440) ),
    inference(global_subsumption_just,[status(thm)],[c_366,c_364,c_353,c_342,c_334,c_321,c_312,c_300,c_283,c_271,c_260,c_250,c_238,c_229,c_301,c_299,c_298,c_293,c_290,c_289,c_287,c_286,c_416,c_421,c_425,c_428,c_366]) ).

tcf(c_542,negated_conjecture,
    ( xsd_integer(sK29)
    | cowlNothing(sK28)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC44(iV16461)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC42(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC108(iV16439)
    | ~ cC106(iV16439)
    | ~ cC104(iV16439)
    | ~ cC98(iV16440)
    | ~ xsd_string(sK29)
    | ~ cowlThing(sK28) ),
    inference(renaming,[status(thm)],[c_541]) ).

tcf(c_543,plain,
    ! [X0: $i] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(prop_impl_just,[status(thm)],[c_52]) ).

tcf(c_544,plain,
    ! [X0: $i] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(renaming,[status(thm)],[c_543]) ).

tcf(c_545,plain,
    ! [X0: $i] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(prop_impl_just,[status(thm)],[c_51]) ).

tcf(c_546,plain,
    ! [X0: $i] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(renaming,[status(thm)],[c_545]) ).

tcf(c_581,plain,
    ! [X0: $i] :
      ( ~ cC106(X0)
      | cC104(X0) ),
    inference(prop_impl_just,[status(thm)],[c_64]) ).

tcf(c_582,plain,
    ! [X0: $i] :
      ( cC104(X0)
      | ~ cC106(X0) ),
    inference(renaming,[status(thm)],[c_581]) ).

tcf(c_589,plain,
    ! [X0: $i] :
      ( ~ cC108(X0)
      | cC106(X0) ),
    inference(prop_impl_just,[status(thm)],[c_67]) ).

tcf(c_590,plain,
    ! [X0: $i] :
      ( cC106(X0)
      | ~ cC108(X0) ),
    inference(renaming,[status(thm)],[c_589]) ).

tcf(c_593,plain,
    ! [X0: $i] :
      ( cC28(X0)
      | ~ cC108(X0) ),
    inference(prop_impl_just,[status(thm)],[c_66]) ).

tcf(c_601,plain,
    ! [X0: $i] :
      ( ~ cTEST(X0)
      | cC108(X0) ),
    inference(prop_impl_just,[status(thm)],[c_224]) ).

tcf(c_602,plain,
    ! [X0: $i] :
      ( cC108(X0)
      | ~ cTEST(X0) ),
    inference(renaming,[status(thm)],[c_601]) ).

tcf(c_677,plain,
    ! [X0: $i] :
      ( ~ cTEST(X0)
      | cC130(X0) ),
    inference(prop_impl_just,[status(thm)],[c_225]) ).

tcf(c_678,plain,
    ! [X0: $i] :
      ( cC130(X0)
      | ~ cTEST(X0) ),
    inference(renaming,[status(thm)],[c_677]) ).

tcf(c_777,plain,
    ! [X0: $i] :
      ( ~ cC44(X0)
      | cC42(X0) ),
    inference(prop_impl_just,[status(thm)],[c_139]) ).

tcf(c_778,plain,
    ! [X0: $i] :
      ( cC42(X0)
      | ~ cC44(X0) ),
    inference(renaming,[status(thm)],[c_777]) ).

tcf(c_785,plain,
    ! [X0: $i] :
      ( ~ cC56(X0)
      | cC44(X0) ),
    inference(prop_impl_just,[status(thm)],[c_156]) ).

tcf(c_786,plain,
    ! [X0: $i] :
      ( cC44(X0)
      | ~ cC56(X0) ),
    inference(renaming,[status(thm)],[c_785]) ).

tcf(c_851,plain,
    ! [X0: $i] :
      ( ~ cC62(X0)
      | cC60(X0) ),
    inference(prop_impl_just,[status(thm)],[c_168]) ).

tcf(c_852,plain,
    ! [X0: $i] :
      ( cC60(X0)
      | ~ cC62(X0) ),
    inference(renaming,[status(thm)],[c_851]) ).

tcf(c_859,plain,
    ! [X0: $i] :
      ( ~ cC76(X0)
      | cC62(X0) ),
    inference(prop_impl_just,[status(thm)],[c_190]) ).

tcf(c_860,plain,
    ! [X0: $i] :
      ( cC62(X0)
      | ~ cC76(X0) ),
    inference(renaming,[status(thm)],[c_859]) ).

tcf(c_931,plain,
    ! [X0: $i] :
      ( ~ cC82(X0)
      | cC80(X0) ),
    inference(prop_impl_just,[status(thm)],[c_199]) ).

tcf(c_932,plain,
    ! [X0: $i] :
      ( cC80(X0)
      | ~ cC82(X0) ),
    inference(renaming,[status(thm)],[c_931]) ).

tcf(c_939,plain,
    ! [X0: $i] :
      ( ~ cC98(X0)
      | cC82(X0) ),
    inference(prop_impl_just,[status(thm)],[c_223]) ).

tcf(c_940,plain,
    ! [X0: $i] :
      ( cC82(X0)
      | ~ cC98(X0) ),
    inference(renaming,[status(thm)],[c_939]) ).

tcf(c_1003,plain,
    ! [X0: $i] :
      ( ~ rR1(iV16439,X0)
      | cC98(X0) ),
    inference(prop_impl_just,[status(thm)],[c_226]) ).

tcf(c_1004,plain,
    ! [X0: $i] :
      ( cC98(X0)
      | ~ rR1(iV16439,X0) ),
    inference(renaming,[status(thm)],[c_1003]) ).

tcf(c_1548,plain,
    ( xsd_integer(sK29)
    | cowlNothing(sK28)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC44(iV16461)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC42(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC108(iV16439)
    | ~ cC106(iV16439)
    | ~ cC104(iV16439)
    | ~ cC98(iV16440)
    | ~ xsd_string(sK29) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_542,c_49]) ).

tcf(c_1549,plain,
    ( xsd_string(sK29)
    | cowlNothing(sK28)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC44(iV16461)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC42(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC108(iV16439)
    | ~ cC106(iV16439)
    | ~ cC104(iV16439)
    | ~ cC98(iV16440)
    | ~ xsd_integer(sK29) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_540,c_49]) ).

tcf(c_1568,plain,
    ( xsd_string(sK29)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC44(iV16461)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC42(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC108(iV16439)
    | ~ cC106(iV16439)
    | ~ cC104(iV16439)
    | ~ cC98(iV16440)
    | ~ xsd_integer(sK29) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1549,c_50]) ).

tcf(c_1569,plain,
    ( xsd_integer(sK29)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC44(iV16461)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC42(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC108(iV16439)
    | ~ cC106(iV16439)
    | ~ cC104(iV16439)
    | ~ cC98(iV16440)
    | ~ xsd_string(sK29) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1548,c_50]) ).

tcf(c_1723,plain,
    ( xsd_integer(sK29)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC44(iV16461)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC42(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC108(iV16439)
    | ~ cC106(iV16439)
    | ~ cC104(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1569,c_546]) ).

tcf(c_1725,plain,
    ( xsd_string(sK29)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC44(iV16461)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC42(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC108(iV16439)
    | ~ cC106(iV16439)
    | ~ cC104(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1568,c_546]) ).

tcf(c_1758,plain,
    ( xsd_integer(sK29)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC44(iV16461)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC42(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC108(iV16439)
    | ~ cC106(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1723,c_582]) ).

tcf(c_1759,plain,
    ( xsd_string(sK29)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC44(iV16461)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC42(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC108(iV16439)
    | ~ cC106(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1725,c_582]) ).

tcf(c_1764,plain,
    ( xsd_string(sK29)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC44(iV16461)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC42(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC108(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1759,c_590]) ).

tcf(c_1765,plain,
    ( xsd_integer(sK29)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC44(iV16461)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC42(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC28(iV16439)
    | ~ cC108(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1758,c_590]) ).

tcf(c_1770,plain,
    ( xsd_integer(sK29)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC44(iV16461)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC42(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC108(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1765,c_593]) ).

tcf(c_1771,plain,
    ( xsd_string(sK29)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC44(iV16461)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC42(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC108(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1764,c_593]) ).

tcf(c_1836,plain,
    ( xsd_string(sK29)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC44(iV16461)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC108(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1771,c_778]) ).

tcf(c_1837,plain,
    ( xsd_integer(sK29)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC44(iV16461)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC108(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1770,c_778]) ).

tcf(c_1842,plain,
    ( xsd_integer(sK29)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC108(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1837,c_786]) ).

tcf(c_1843,plain,
    ( xsd_string(sK29)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC60(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC108(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1836,c_786]) ).

tcf(c_1848,plain,
    ( xsd_string(sK29)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC108(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1843,c_852]) ).

tcf(c_1849,plain,
    ( xsd_integer(sK29)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC62(iV16463)
    | ~ cC60(iV16453)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC108(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1842,c_852]) ).

tcf(c_1854,plain,
    ( xsd_integer(sK29)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC60(iV16453)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC108(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1849,c_860]) ).

tcf(c_1855,plain,
    ( xsd_string(sK29)
    | ~ cC82(iV16440)
    | ~ cC80(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC60(iV16453)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC108(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1848,c_860]) ).

tcf(c_1860,plain,
    ( xsd_string(sK29)
    | ~ cC82(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC60(iV16453)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC108(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1855,c_932]) ).

tcf(c_1861,plain,
    ( xsd_integer(sK29)
    | ~ cC82(iV16440)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC60(iV16453)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC108(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1854,c_932]) ).

tcf(c_1866,plain,
    ( xsd_integer(sK29)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC60(iV16453)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC108(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1861,c_940]) ).

tcf(c_1867,plain,
    ( xsd_string(sK29)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC62(iV16453)
    | ~ cC60(iV16453)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC44(iV16464)
    | ~ cC44(iV16455)
    | ~ cC42(iV16464)
    | ~ cC42(iV16455)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC108(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1860,c_940]) ).

tcf(c_2738,plain,
    ( xsd_integer(sK29)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC108(iV16439)
    | ~ cC98(iV16440) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1866,c_860,c_852,c_786,c_786,c_778,c_778]) ).

tcf(c_2801,plain,
    ( xsd_string(sK29)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC130(iV16439)
    | ~ cC108(iV16439)
    | ~ cC98(iV16440) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1867,c_860,c_852,c_786,c_786,c_778,c_778]) ).

tcf(c_2844,plain,
    cC130(iV16439),
    inference(resolution,[status(thm)],[c_678,c_227]) ).

tcf(c_2848,plain,
    cC108(iV16439),
    inference(resolution,[status(thm)],[c_602,c_227]) ).

tcf(c_2854,plain,
    ( xsd_string(sK29)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC108(iV16439)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_2801,c_2844]) ).

tcf(c_2856,plain,
    ( xsd_string(sK29)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC38(iV16448)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_2854,c_2848]) ).

tcf(c_3237,plain,
    ( cC38(iV16448)
    | cC36(iV16448) ),
    inference(resolution,[status(thm)],[c_128,c_245]) ).

tcf(c_3238,plain,
    cC38(iV16448),
    inference(global_subsumption_just,[status(thm)],[c_3237,c_242,c_3237]) ).

tcf(c_3243,plain,
    ( cC38(iV16457)
    | cC36(iV16457) ),
    inference(resolution,[status(thm)],[c_128,c_279]) ).

tcf(c_3244,plain,
    cC38(iV16457),
    inference(global_subsumption_just,[status(thm)],[c_3243,c_274,c_3243]) ).

tcf(c_3249,plain,
    ( cC38(iV16460)
    | cC36(iV16460) ),
    inference(resolution,[status(thm)],[c_128,c_306]) ).

tcf(c_3250,plain,
    cC38(iV16460),
    inference(global_subsumption_just,[status(thm)],[c_3249,c_303,c_3249]) ).

tcf(c_3255,plain,
    ( cC38(iV16462)
    | cC36(iV16462) ),
    inference(resolution,[status(thm)],[c_128,c_328]) ).

tcf(c_3256,plain,
    cC38(iV16462),
    inference(global_subsumption_just,[status(thm)],[c_3255,c_327,c_3255]) ).

tcf(c_3261,plain,
    ( cC38(iV16465)
    | cC36(iV16465) ),
    inference(resolution,[status(thm)],[c_128,c_362]) ).

tcf(c_3262,plain,
    cC38(iV16465),
    inference(global_subsumption_just,[status(thm)],[c_3261,c_361,c_3261]) ).

tcf(c_3269,plain,
    ( xsd_string(sK29)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16457)
    | ~ cC38(iV16460)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_2856,c_3238]) ).

tcf(c_3271,plain,
    ( xsd_string(sK29)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC38(iV16460)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3269,c_3244]) ).

tcf(c_3275,plain,
    ( xsd_string(sK29)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC38(iV16465)
    | ~ cC38(iV16462)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3271,c_3250]) ).

tcf(c_3277,plain,
    ( xsd_string(sK29)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC38(iV16465)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3275,c_3256]) ).

tcf(c_3281,plain,
    ( xsd_string(sK29)
    | ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC98(iV16440) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3277,c_3262]) ).

tcf(c_3283,plain,
    ( ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC98(iV16440)
    | ~ xsd_integer(sK29) ),
    inference(resolution,[status(thm)],[c_544,c_3281]) ).

tcf(c_3284,plain,
    ( ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ cC98(iV16440) ),
    inference(global_subsumption_just,[status(thm)],[c_3283,c_361,c_327,c_303,c_274,c_242,c_2738,c_2844,c_2848,c_3237,c_3243,c_3249,c_3255,c_3261,c_3283]) ).

tcf(c_4026,plain,
    ! [X0: $i] :
      ( cC56(X0)
      | cC54(X0)
      | cC40(X0)
      | ~ cC42(X0) ),
    inference(resolution,[status(thm)],[c_137,c_155]) ).

tcf(c_4131,plain,
    ! [X0: $i] :
      ( cC76(X0)
      | cC74(X0)
      | cC58(X0)
      | ~ cC60(X0) ),
    inference(resolution,[status(thm)],[c_167,c_188]) ).

tcf(c_5384,plain,
    ( cC76(iV16453)
    | cC74(iV16453)
    | ~ cC60(iV16453) ),
    inference(resolution,[status(thm)],[c_4131,c_257]) ).

tcf(c_5385,plain,
    ( cC76(iV16453)
    | ~ cC60(iV16453) ),
    inference(global_subsumption_just,[status(thm)],[c_5384,c_258,c_5384]) ).

tcf(c_5782,plain,
    ( cC56(iV16455)
    | cC54(iV16455)
    | ~ cC42(iV16455) ),
    inference(resolution,[status(thm)],[c_4026,c_264]) ).

tcf(c_6944,plain,
    ( ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461)
    | ~ rR1(iV16439,iV16440) ),
    inference(resolution,[status(thm)],[c_1004,c_3284]) ).

tcf(c_6945,plain,
    ( ~ cC76(iV16453)
    | ~ cC76(iV16463)
    | ~ cC56(iV16464)
    | ~ cC56(iV16455)
    | ~ cC56(iV16461) ),
    inference(global_subsumption_just,[status(thm)],[c_6944,c_230,c_6944]) ).

tcf(c_16437,plain,
    ( cC76(iV16463)
    | ~ rR1(iV16440,iV16463) ),
    inference(instantiation,[status(thm)],[c_233]) ).

tcf(c_16438,plain,
    ( cC56(iV16461)
    | ~ rR1(iV16453,iV16461) ),
    inference(instantiation,[status(thm)],[c_259]) ).

tcf(c_16441,plain,
    ( cC56(iV16464)
    | ~ rR1(iV16463,iV16464) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_16517,plain,
    ( cC42(iV16455)
    | cC8(iV16460)
    | ~ rR1(iV16455,iV16460) ),
    inference(instantiation,[status(thm)],[c_134]) ).

tcf(c_16532,plain,
    ! [X0: $i] :
      ( cC12(iV16461)
      | cC60(X0)
      | ~ rR1(X0,iV16461) ),
    inference(instantiation,[status(thm)],[c_164]) ).

tcf(c_16817,plain,
    ( cC60(iV16453)
    | cC12(iV16461)
    | ~ rR1(iV16453,iV16461) ),
    inference(instantiation,[status(thm)],[c_16532]) ).

tcf(c_16818,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_16817,c_16517,c_16441,c_16438,c_16437,c_6945,c_5782,c_5385,c_239,c_262,c_269,c_273,c_307,c_317,c_343]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : KRS153+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.42  % Computer : n014.cluster.edu
% 0.15/0.42  % Model    : x86_64 x86_64
% 0.15/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42  % Memory   : 8046.5625MB
% 0.15/0.42  % OS       : Linux 6.8.0-71-generic
% 0.15/0.42  % CPULimit : 300
% 0.15/0.42  % WCLimit  : 300
% 0.15/0.42  % DateTime : Wed Sep 23 19:32:03 UTC 2026
% 0.15/0.42  % CPUTime  : 
% 0.15/0.42  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.48  Running first-order theorem proving
% 0.15/0.48  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.50  
% 0.15/0.50  % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.50  
% 0.25/0.50  % Detected problem language: tptp
% 0.25/0.52  % Proving...
% 4.42/1.84  % SZS status Started for theBenchmark.p
% 4.42/1.84  % SZS status Theorem for theBenchmark.p
% 4.42/1.84  
% 4.42/1.84  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.42/1.84  
% 4.42/1.84  % ------  iProver source info
% 4.42/1.84  
% 4.42/1.84  % git: date: 2026-07-19 20:42:38 +0200
% 4.42/1.84  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.42/1.84  % git: non_committed_changes: false
% 4.42/1.84  
% 4.42/1.84  % ------ Parsing...
% 4.42/1.84  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 4.42/1.84  
% 4.42/1.84  % ------ Preprocessing... sf_s  rm: 2 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.42/1.84  
% 4.42/1.84  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.42/1.84  % ------ Proving...
% 4.42/1.84  % ------ Problem Properties 
% 4.42/1.84  
% 4.42/1.84  % 
% 4.42/1.84  % clauses                               242
% 4.42/1.84  % conjectures                           0
% 4.42/1.84  % EPR                                   186
% 4.42/1.84  % Horn                                  213
% 4.42/1.84  % unary                                 78
% 4.42/1.84  % binary                                115
% 4.42/1.84  % lits                                  463
% 4.42/1.84  % lits eq                               0
% 4.42/1.84  % fd_pure                               0
% 4.42/1.84  % fd_pseudo                             0
% 4.42/1.84  % fd_cond                               0
% 4.42/1.84  % fd_pseudo_cond                        0
% 4.42/1.84  % AC symbols                            0
% 4.42/1.84  
% 4.42/1.84  % ------ Schedule dynamic 5 is on 
% 4.42/1.84  
% 4.42/1.84  % ------ no conjectures: strip conj schedule 
% 4.42/1.84  
% 4.42/1.84  % ------ no equalities: superposition off 
% 4.42/1.84  
% 4.42/1.84  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 4.42/1.84  
% 4.42/1.84  
% 4.42/1.84  % ------ 
% 4.42/1.84  % Current options:
% 4.42/1.84  % ------ 
% 4.42/1.84  
% 4.42/1.84  
% 4.42/1.84  % 
% 4.42/1.84  
% 4.42/1.84  % ------ Proving...
% 4.42/1.84  % 
% 4.42/1.84  
% 4.42/1.84  % SZS status Theorem for theBenchmark.p
% 4.42/1.84  
% 4.42/1.84  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.42/1.85  
% 4.42/1.85  
%------------------------------------------------------------------------------