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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : KRS155+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:54:17 PM UTC 2026

% Result   : Theorem 2.72s 1.22s
% Output   : CNFRefutation 2.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  285 (  66 unt;   0 def)
%            Number of atoms       : 1080 (   0 equ)
%            Maximal formula atoms :   21 (   3 avg)
%            Number of connectives : 1417 ( 622   ~; 610   |; 152   &)
%                                         (  28 <=>;   4  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   20 (   5 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  :   35 (  34 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  10 con; 0-1 aty)
%            Number of variables   :  311 (   0 sgn 261   !;  50   ?;  84   :)

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

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

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

fof(f6,axiom,
    ! [X0] :
      ( cC14(X0)
    <=> ? [X1] :
          ( cTOP(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f14,axiom,
    ! [X0] :
      ( cC20(X0)
    <=> ? [X1] :
          ( cC2xcomp(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).

fof(f29,axiom,
    ! [X0] :
      ( cC34(X0)
    <=> ? [X1] : ra_Px9(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).

fof(f30,axiom,
    ! [X0] :
      ( cC34(X0)
    <=> ? [X1] :
          ( cC32xcomp(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).

fof(f31,axiom,
    ! [X0] :
      ( cC34xcomp(X0)
    <=> ~ ? [X1] : ra_Px9(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).

fof(f36,axiom,
    ! [X0] :
      ( cC4(X0)
    <=> ? [X1] :
          ( cC2xcomp(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).

fof(f38,axiom,
    ! [X0] :
      ( cC42(X0)
    <=> ~ ? [X1] : ra_Px31(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).

fof(f39,axiom,
    ! [X0] :
      ( cC42(X0)
    <=> ( cC34xcomp(X0)
        & cC40(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).

fof(f40,axiom,
    ! [X0] :
      ( cC42xcomp(X0)
    <=> ? [X1] : ra_Px31(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).

fof(f45,axiom,
    ! [X0] :
      ( cC48(X0)
    <=> ? [X1] :
          ( cC2xcomp(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).

fof(f58,axiom,
    ! [X0] :
      ( cC58(X0)
    <=> ? [X1] :
          ( cC2(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).

fof(f62,axiom,
    ! [X0] :
      ( cC60(X0)
    <=> ( cC58(X0)
        & cC2xcomp(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).

fof(f63,axiom,
    ! [X0] :
      ( cC62(X0)
    <=> ? [X1] :
          ( cC60(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).

fof(f80,axiom,
    ! [X0] :
      ( cC8(X0)
    <=> ? [X1] :
          ( cC6xcomp(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).

fof(f81,axiom,
    ! [X0] :
      ( cC80(X0)
    <=> ( cC2xcomp(X0)
        & cC78xcomp(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).

fof(f82,axiom,
    ! [X0] :
      ( cC82(X0)
    <=> ~ ? [X1] : ra_Px25(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_81) ).

fof(f83,axiom,
    ! [X0] :
      ( cC82(X0)
    <=> ? [X1] :
          ( cC80(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_82) ).

fof(f84,axiom,
    ! [X0] :
      ( cC82xcomp(X0)
    <=> ? [X1] : ra_Px25(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_83) ).

fof(f85,axiom,
    ! [X0] :
      ( cC84(X0)
    <=> ? [X1] :
          ( cC2xcomp(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_84) ).

fof(f91,axiom,
    ! [X0] :
      ( cC92(X0)
    <=> ( cC90(X0)
        & cC82xcomp(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_90) ).

fof(f101,axiom,
    cC42xcomp(iV8467),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_100) ).

fof(f103,axiom,
    cowlThing(iV8467),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_102) ).

fof(f104,axiom,
    rR1(iV8467,iV8471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_103) ).

fof(f105,axiom,
    rR1(iV8467,iV8470),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_104) ).

fof(f106,axiom,
    rR1(iV8467,iV8469),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_105) ).

fof(f107,axiom,
    rR1(iV8467,iV8474),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_106) ).

fof(f108,axiom,
    rR1(iV8467,iV8468),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_107) ).

fof(f111,axiom,
    rR1(iV8467,iV8472),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_110) ).

fof(f112,axiom,
    cC2xcomp(iV8468),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_111) ).

fof(f114,axiom,
    cC6xcomp(iV8469),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_113) ).

fof(f117,axiom,
    cTOP(iV8470),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_116) ).

fof(f119,axiom,
    cC78xcomp(iV8471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_118) ).

fof(f120,axiom,
    cC2xcomp(iV8471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_119) ).

fof(f121,axiom,
    cowlThing(iV8471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_120) ).

fof(f123,axiom,
    cC2xcomp(iV8472),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_122) ).

fof(f124,axiom,
    cowlThing(iV8472),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_123) ).

fof(f125,axiom,
    rR1(iV8472,iV8476),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_124) ).

fof(f128,axiom,
    cC32xcomp(iV8474),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_127) ).

fof(f133,axiom,
    cC2(iV8476),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_132) ).

fof(f135,conjecture,
    ( cowlThing(iV8472)
    & cC60(iV8472)
    & cC58(iV8472)
    & cC80(iV8471)
    & cowlThing(iV8471)
    & cC48(iV8467)
    & cowlThing(iV8467)
    & cC10(iV8467)
    & cC34(iV8467)
    & cC14(iV8467)
    & cC62(iV8467)
    & cC82(iV8467)
    & cC8(iV8467)
    & cC4(iV8467)
    & cC20(iV8467)
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f136,negated_conjecture,
    ~ ( cowlThing(iV8472)
      & cC60(iV8472)
      & cC58(iV8472)
      & cC80(iV8471)
      & cowlThing(iV8471)
      & cC48(iV8467)
      & cowlThing(iV8467)
      & cC10(iV8467)
      & cC34(iV8467)
      & cC14(iV8467)
      & cC62(iV8467)
      & cC82(iV8467)
      & cC8(iV8467)
      & cC4(iV8467)
      & cC20(iV8467)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negated_conjecture,[status(cth)],[f135]) ).

fof(f137,plain,
    ~ ( cowlThing(iV8472)
      & cC60(iV8472)
      & cC58(iV8472)
      & cC80(iV8471)
      & cowlThing(iV8471)
      & cC48(iV8467)
      & cowlThing(iV8467)
      & cC10(iV8467)
      & cC34(iV8467)
      & cC14(iV8467)
      & cC62(iV8467)
      & cC82(iV8467)
      & cC8(iV8467)
      & cC4(iV8467)
      & cC20(iV8467)
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(rectify,[],[f136]) ).

fof(f138,plain,
    ! [X0] :
      ( ( cC8(X0)
        & cC4(X0) )
     => cC10(X0) ),
    inference(unused_predicate_definition_removal,[],[f3]) ).

fof(f139,plain,
    ! [X0] :
      ( ? [X1] :
          ( cC2xcomp(X1)
          & rR1(X0,X1) )
     => cC4(X0) ),
    inference(unused_predicate_definition_removal,[],[f36]) ).

fof(f140,plain,
    ! [X0] :
      ( ? [X1] :
          ( cC6xcomp(X1)
          & rR1(X0,X1) )
     => cC8(X0) ),
    inference(unused_predicate_definition_removal,[],[f80]) ).

fof(f144,plain,
    ! [X0] :
      ( cC42xcomp(X0)
     => ? [X1] : ra_Px31(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f40]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ cC8(X0)
      | ~ cC4(X0)
      | cC10(X0) ),
    inference(ennf_transformation,[],[f138]) ).

fof(f147,plain,
    ! [X0] :
      ( ~ cC8(X0)
      | ~ cC4(X0)
      | cC10(X0) ),
    inference(flattening,[],[f146]) ).

fof(f153,plain,
    ! [X0] :
      ( cC34xcomp(X0)
    <=> ! [X1] : ~ ra_Px9(X0,X1) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f155,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ cC2xcomp(X1)
          | ~ rR1(X0,X1) )
      | cC4(X0) ),
    inference(ennf_transformation,[],[f139]) ).

fof(f156,plain,
    ! [X0] :
      ( cC42(X0)
    <=> ! [X1] : ~ ra_Px31(X0,X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f157,plain,
    ! [X0] :
      ( ~ cC42xcomp(X0)
      | ? [X1] : ra_Px31(X0,X1) ),
    inference(ennf_transformation,[],[f144]) ).

fof(f166,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ cC6xcomp(X1)
          | ~ rR1(X0,X1) )
      | cC8(X0) ),
    inference(ennf_transformation,[],[f140]) ).

fof(f167,plain,
    ! [X0] :
      ( cC82(X0)
    <=> ! [X1] : ~ ra_Px25(X0,X1) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f174,plain,
    ( ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) ) ),
    inference(ennf_transformation,[],[f137]) ).

fof(f175,plain,
    ! [X0] :
      ( ( ~ xsd_string(X0)
        | ~ xsd_integer(X0) )
      & ( xsd_integer(X0)
        | xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f179,plain,
    ! [X0] :
      ( ( ~ cC14(X0)
        | ? [X1] :
            ( cTOP(X1)
            & rR1(X0,X1) ) )
      & ( ! [X1] :
            ( ~ cTOP(X1)
            | ~ rR1(X0,X1) )
        | cC14(X0) ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f180,plain,
    ! [X0] :
      ( ( ~ cC14(X0)
        | ? [X2] :
            ( cTOP(X2)
            & rR1(X0,X2) ) )
      & ( ! [X1] :
            ( ~ cTOP(X1)
            | ~ rR1(X0,X1) )
        | cC14(X0) ) ),
    inference(rectify,[],[f179]) ).

fof(f181,plain,
    ! [X0] :
      ( ( ~ cC14(X0)
        | ( cTOP(sK1(X0))
          & rR1(X0,sK1(X0)) ) )
      & ( ! [X1] :
            ( ~ cTOP(X1)
            | ~ rR1(X0,X1) )
        | cC14(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0))],[f180]) ).

fof(f197,plain,
    ! [X0] :
      ( ( ~ cC20(X0)
        | ? [X1] :
            ( cC2xcomp(X1)
            & rR1(X0,X1) ) )
      & ( ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) )
        | cC20(X0) ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f198,plain,
    ! [X0] :
      ( ( ~ cC20(X0)
        | ? [X2] :
            ( cC2xcomp(X2)
            & rR1(X0,X2) ) )
      & ( ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) )
        | cC20(X0) ) ),
    inference(rectify,[],[f197]) ).

fof(f199,plain,
    ! [X0] :
      ( ( ~ cC20(X0)
        | ( cC2xcomp(sK7(X0))
          & rR1(X0,sK7(X0)) ) )
      & ( ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) )
        | cC20(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0))],[f198]) ).

fof(f232,plain,
    ! [X0] :
      ( ( ~ cC34(X0)
        | ? [X1] : ra_Px9(X0,X1) )
      & ( ! [X1] : ~ ra_Px9(X0,X1)
        | cC34(X0) ) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f233,plain,
    ! [X0] :
      ( ( ~ cC34(X0)
        | ? [X2] : ra_Px9(X0,X2) )
      & ( ! [X1] : ~ ra_Px9(X0,X1)
        | cC34(X0) ) ),
    inference(rectify,[],[f232]) ).

fof(f234,plain,
    ! [X0] :
      ( ( ~ cC34(X0)
        | ra_Px9(X0,sK18(X0)) )
      & ( ! [X1] : ~ ra_Px9(X0,X1)
        | cC34(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X2,sK18(X0))],[f233]) ).

fof(f235,plain,
    ! [X0] :
      ( ( ~ cC34(X0)
        | ? [X1] :
            ( cC32xcomp(X1)
            & rR1(X0,X1) ) )
      & ( ! [X1] :
            ( ~ cC32xcomp(X1)
            | ~ rR1(X0,X1) )
        | cC34(X0) ) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f236,plain,
    ! [X0] :
      ( ( ~ cC34(X0)
        | ? [X2] :
            ( cC32xcomp(X2)
            & rR1(X0,X2) ) )
      & ( ! [X1] :
            ( ~ cC32xcomp(X1)
            | ~ rR1(X0,X1) )
        | cC34(X0) ) ),
    inference(rectify,[],[f235]) ).

fof(f237,plain,
    ! [X0] :
      ( ( ~ cC34(X0)
        | ( cC32xcomp(sK19(X0))
          & rR1(X0,sK19(X0)) ) )
      & ( ! [X1] :
            ( ~ cC32xcomp(X1)
            | ~ rR1(X0,X1) )
        | cC34(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X2,sK19(X0))],[f236]) ).

fof(f238,plain,
    ! [X0] :
      ( ( ~ cC34xcomp(X0)
        | ! [X1] : ~ ra_Px9(X0,X1) )
      & ( ? [X1] : ra_Px9(X0,X1)
        | cC34xcomp(X0) ) ),
    inference(nnf_transformation,[],[f153]) ).

fof(f239,plain,
    ! [X0] :
      ( ( ~ cC34xcomp(X0)
        | ! [X2] : ~ ra_Px9(X0,X2) )
      & ( ? [X1] : ra_Px9(X0,X1)
        | cC34xcomp(X0) ) ),
    inference(rectify,[],[f238]) ).

fof(f240,plain,
    ! [X0] :
      ( ( ~ cC34xcomp(X0)
        | ! [X2] : ~ ra_Px9(X0,X2) )
      & ( ra_Px9(X0,sK20(X0))
        | cC34xcomp(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X1,sK20(X0))],[f239]) ).

fof(f256,plain,
    ! [X0] :
      ( ( ~ cC42(X0)
        | ! [X1] : ~ ra_Px31(X0,X1) )
      & ( ? [X1] : ra_Px31(X0,X1)
        | cC42(X0) ) ),
    inference(nnf_transformation,[],[f156]) ).

fof(f257,plain,
    ! [X0] :
      ( ( ~ cC42(X0)
        | ! [X2] : ~ ra_Px31(X0,X2) )
      & ( ? [X1] : ra_Px31(X0,X1)
        | cC42(X0) ) ),
    inference(rectify,[],[f256]) ).

fof(f258,plain,
    ! [X0] :
      ( ( ~ cC42(X0)
        | ! [X2] : ~ ra_Px31(X0,X2) )
      & ( ra_Px31(X0,sK26(X0))
        | cC42(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X1,sK26(X0))],[f257]) ).

fof(f259,plain,
    ! [X0] :
      ( ( ~ cC42(X0)
        | ( cC34xcomp(X0)
          & cC40(X0) ) )
      & ( ~ cC34xcomp(X0)
        | ~ cC40(X0)
        | cC42(X0) ) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f260,plain,
    ! [X0] :
      ( ( ~ cC42(X0)
        | ( cC34xcomp(X0)
          & cC40(X0) ) )
      & ( ~ cC34xcomp(X0)
        | ~ cC40(X0)
        | cC42(X0) ) ),
    inference(flattening,[],[f259]) ).

fof(f261,plain,
    ! [X0] :
      ( ~ cC42xcomp(X0)
      | ra_Px31(X0,sK27(X0)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X1,sK27(X0))],[f157]) ).

fof(f268,plain,
    ! [X0] :
      ( ( ~ cC48(X0)
        | ? [X1] :
            ( cC2xcomp(X1)
            & rR1(X0,X1) ) )
      & ( ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) )
        | cC48(X0) ) ),
    inference(nnf_transformation,[],[f45]) ).

fof(f269,plain,
    ! [X0] :
      ( ( ~ cC48(X0)
        | ? [X2] :
            ( cC2xcomp(X2)
            & rR1(X0,X2) ) )
      & ( ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) )
        | cC48(X0) ) ),
    inference(rectify,[],[f268]) ).

fof(f270,plain,
    ! [X0] :
      ( ( ~ cC48(X0)
        | ( cC2xcomp(sK30(X0))
          & rR1(X0,sK30(X0)) ) )
      & ( ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) )
        | cC48(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(X2,sK30(X0))],[f269]) ).

fof(f297,plain,
    ! [X0] :
      ( ( ~ cC58(X0)
        | ? [X1] :
            ( cC2(X1)
            & rR1(X0,X1) ) )
      & ( ! [X1] :
            ( ~ cC2(X1)
            | ~ rR1(X0,X1) )
        | cC58(X0) ) ),
    inference(nnf_transformation,[],[f58]) ).

fof(f298,plain,
    ! [X0] :
      ( ( ~ cC58(X0)
        | ? [X2] :
            ( cC2(X2)
            & rR1(X0,X2) ) )
      & ( ! [X1] :
            ( ~ cC2(X1)
            | ~ rR1(X0,X1) )
        | cC58(X0) ) ),
    inference(rectify,[],[f297]) ).

fof(f299,plain,
    ! [X0] :
      ( ( ~ cC58(X0)
        | ( cC2(sK39(X0))
          & rR1(X0,sK39(X0)) ) )
      & ( ! [X1] :
            ( ~ cC2(X1)
            | ~ rR1(X0,X1) )
        | cC58(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK39]),skolemize(X2,sK39(X0))],[f298]) ).

fof(f309,plain,
    ! [X0] :
      ( ( ~ cC60(X0)
        | ( cC58(X0)
          & cC2xcomp(X0) ) )
      & ( ~ cC58(X0)
        | ~ cC2xcomp(X0)
        | cC60(X0) ) ),
    inference(nnf_transformation,[],[f62]) ).

fof(f310,plain,
    ! [X0] :
      ( ( ~ cC60(X0)
        | ( cC58(X0)
          & cC2xcomp(X0) ) )
      & ( ~ cC58(X0)
        | ~ cC2xcomp(X0)
        | cC60(X0) ) ),
    inference(flattening,[],[f309]) ).

fof(f311,plain,
    ! [X0] :
      ( ( ~ cC62(X0)
        | ? [X1] :
            ( cC60(X1)
            & rR1(X0,X1) ) )
      & ( ! [X1] :
            ( ~ cC60(X1)
            | ~ rR1(X0,X1) )
        | cC62(X0) ) ),
    inference(nnf_transformation,[],[f63]) ).

fof(f312,plain,
    ! [X0] :
      ( ( ~ cC62(X0)
        | ? [X2] :
            ( cC60(X2)
            & rR1(X0,X2) ) )
      & ( ! [X1] :
            ( ~ cC60(X1)
            | ~ rR1(X0,X1) )
        | cC62(X0) ) ),
    inference(rectify,[],[f311]) ).

fof(f313,plain,
    ! [X0] :
      ( ( ~ cC62(X0)
        | ( cC60(sK43(X0))
          & rR1(X0,sK43(X0)) ) )
      & ( ! [X1] :
            ( ~ cC60(X1)
            | ~ rR1(X0,X1) )
        | cC62(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK43]),skolemize(X2,sK43(X0))],[f312]) ).

fof(f351,plain,
    ! [X0] :
      ( ( ~ cC80(X0)
        | ( cC2xcomp(X0)
          & cC78xcomp(X0) ) )
      & ( ~ cC2xcomp(X0)
        | ~ cC78xcomp(X0)
        | cC80(X0) ) ),
    inference(nnf_transformation,[],[f81]) ).

fof(f352,plain,
    ! [X0] :
      ( ( ~ cC80(X0)
        | ( cC2xcomp(X0)
          & cC78xcomp(X0) ) )
      & ( ~ cC2xcomp(X0)
        | ~ cC78xcomp(X0)
        | cC80(X0) ) ),
    inference(flattening,[],[f351]) ).

fof(f353,plain,
    ! [X0] :
      ( ( ~ cC82(X0)
        | ! [X1] : ~ ra_Px25(X0,X1) )
      & ( ? [X1] : ra_Px25(X0,X1)
        | cC82(X0) ) ),
    inference(nnf_transformation,[],[f167]) ).

fof(f354,plain,
    ! [X0] :
      ( ( ~ cC82(X0)
        | ! [X2] : ~ ra_Px25(X0,X2) )
      & ( ? [X1] : ra_Px25(X0,X1)
        | cC82(X0) ) ),
    inference(rectify,[],[f353]) ).

fof(f355,plain,
    ! [X0] :
      ( ( ~ cC82(X0)
        | ! [X2] : ~ ra_Px25(X0,X2) )
      & ( ra_Px25(X0,sK55(X0))
        | cC82(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(X1,sK55(X0))],[f354]) ).

fof(f356,plain,
    ! [X0] :
      ( ( ~ cC82(X0)
        | ? [X1] :
            ( cC80(X1)
            & rR1(X0,X1) ) )
      & ( ! [X1] :
            ( ~ cC80(X1)
            | ~ rR1(X0,X1) )
        | cC82(X0) ) ),
    inference(nnf_transformation,[],[f83]) ).

fof(f357,plain,
    ! [X0] :
      ( ( ~ cC82(X0)
        | ? [X2] :
            ( cC80(X2)
            & rR1(X0,X2) ) )
      & ( ! [X1] :
            ( ~ cC80(X1)
            | ~ rR1(X0,X1) )
        | cC82(X0) ) ),
    inference(rectify,[],[f356]) ).

fof(f358,plain,
    ! [X0] :
      ( ( ~ cC82(X0)
        | ( cC80(sK56(X0))
          & rR1(X0,sK56(X0)) ) )
      & ( ! [X1] :
            ( ~ cC80(X1)
            | ~ rR1(X0,X1) )
        | cC82(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK56]),skolemize(X2,sK56(X0))],[f357]) ).

fof(f359,plain,
    ! [X0] :
      ( ( ~ cC82xcomp(X0)
        | ? [X1] : ra_Px25(X0,X1) )
      & ( ! [X1] : ~ ra_Px25(X0,X1)
        | cC82xcomp(X0) ) ),
    inference(nnf_transformation,[],[f84]) ).

fof(f360,plain,
    ! [X0] :
      ( ( ~ cC82xcomp(X0)
        | ? [X2] : ra_Px25(X0,X2) )
      & ( ! [X1] : ~ ra_Px25(X0,X1)
        | cC82xcomp(X0) ) ),
    inference(rectify,[],[f359]) ).

fof(f361,plain,
    ! [X0] :
      ( ( ~ cC82xcomp(X0)
        | ra_Px25(X0,sK57(X0)) )
      & ( ! [X1] : ~ ra_Px25(X0,X1)
        | cC82xcomp(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK57]),skolemize(X2,sK57(X0))],[f360]) ).

fof(f362,plain,
    ! [X0] :
      ( ( ~ cC84(X0)
        | ? [X1] :
            ( cC2xcomp(X1)
            & rR1(X0,X1) ) )
      & ( ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) )
        | cC84(X0) ) ),
    inference(nnf_transformation,[],[f85]) ).

fof(f363,plain,
    ! [X0] :
      ( ( ~ cC84(X0)
        | ? [X2] :
            ( cC2xcomp(X2)
            & rR1(X0,X2) ) )
      & ( ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) )
        | cC84(X0) ) ),
    inference(rectify,[],[f362]) ).

fof(f364,plain,
    ! [X0] :
      ( ( ~ cC84(X0)
        | ( cC2xcomp(sK58(X0))
          & rR1(X0,sK58(X0)) ) )
      & ( ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) )
        | cC84(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK58]),skolemize(X2,sK58(X0))],[f363]) ).

fof(f379,plain,
    ! [X0] :
      ( ( ~ cC92(X0)
        | ( cC90(X0)
          & cC82xcomp(X0) ) )
      & ( ~ cC90(X0)
        | ~ cC82xcomp(X0)
        | cC92(X0) ) ),
    inference(nnf_transformation,[],[f91]) ).

fof(f380,plain,
    ! [X0] :
      ( ( ~ cC92(X0)
        | ( cC90(X0)
          & cC82xcomp(X0) ) )
      & ( ~ cC90(X0)
        | ~ cC82xcomp(X0)
        | cC92(X0) ) ),
    inference(flattening,[],[f379]) ).

fof(f391,plain,
    ( ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ? [X1] :
        ( ( xsd_string(X1)
          | ~ xsd_integer(X1) )
        & ( ~ xsd_string(X1)
          | xsd_integer(X1) ) )
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) ) ),
    inference(nnf_transformation,[],[f174]) ).

fof(f392,plain,
    ( ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ( ( xsd_string(sK68)
        | ~ xsd_integer(sK68) )
      & ( ~ xsd_string(sK68)
        | xsd_integer(sK68) ) )
    | cowlNothing(sK67)
    | ~ cowlThing(sK67) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK67,sK68]),skolemize(X0,sK67),skolemize(X1,sK68)],[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,[],[f175]) ).

fof(f396,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f397,plain,
    ! [X0] :
      ( ~ cC8(X0)
      | ~ cC4(X0)
      | cC10(X0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f402,plain,
    ! [X0,X1] :
      ( ~ cTOP(X1)
      | ~ rR1(X0,X1)
      | cC14(X0) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f414,plain,
    ! [X0] :
      ( ~ cC20(X0)
      | cC2xcomp(sK7(X0)) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f415,plain,
    ! [X0] :
      ( ~ cC20(X0)
      | rR1(X0,sK7(X0)) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f416,plain,
    ! [X0,X1] :
      ( ~ cC2xcomp(X1)
      | ~ rR1(X0,X1)
      | cC20(X0) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f446,plain,
    ! [X0,X1] :
      ( ~ ra_Px9(X0,X1)
      | cC34(X0) ),
    inference(cnf_transformation,[],[f234]) ).

fof(f449,plain,
    ! [X0,X1] :
      ( ~ cC32xcomp(X1)
      | ~ rR1(X0,X1)
      | cC34(X0) ),
    inference(cnf_transformation,[],[f237]) ).

fof(f451,plain,
    ! [X0] :
      ( ra_Px9(X0,sK20(X0))
      | cC34xcomp(X0) ),
    inference(cnf_transformation,[],[f240]) ).

fof(f462,plain,
    ! [X0,X1] :
      ( ~ cC2xcomp(X1)
      | ~ rR1(X0,X1)
      | cC4(X0) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f466,plain,
    ! [X2,X0] :
      ( ~ cC42(X0)
      | ~ ra_Px31(X0,X2) ),
    inference(cnf_transformation,[],[f258]) ).

fof(f470,plain,
    ! [X0] :
      ( ~ cC34xcomp(X0)
      | ~ cC40(X0)
      | cC42(X0) ),
    inference(cnf_transformation,[],[f260]) ).

fof(f471,plain,
    ! [X0] :
      ( ~ cC42xcomp(X0)
      | ra_Px31(X0,sK27(X0)) ),
    inference(cnf_transformation,[],[f261]) ).

fof(f479,plain,
    ! [X0,X1] :
      ( ~ cC2xcomp(X1)
      | ~ rR1(X0,X1)
      | cC48(X0) ),
    inference(cnf_transformation,[],[f270]) ).

fof(f504,plain,
    ! [X0,X1] :
      ( ~ cC2(X1)
      | ~ rR1(X0,X1)
      | cC58(X0) ),
    inference(cnf_transformation,[],[f299]) ).

fof(f512,plain,
    ! [X0] :
      ( ~ cC60(X0)
      | cC58(X0) ),
    inference(cnf_transformation,[],[f310]) ).

fof(f514,plain,
    ! [X0] :
      ( ~ cC58(X0)
      | ~ cC2xcomp(X0)
      | cC60(X0) ),
    inference(cnf_transformation,[],[f310]) ).

fof(f517,plain,
    ! [X0,X1] :
      ( ~ cC60(X1)
      | ~ rR1(X0,X1)
      | cC62(X0) ),
    inference(cnf_transformation,[],[f313]) ).

fof(f552,plain,
    ! [X0,X1] :
      ( ~ cC6xcomp(X1)
      | ~ rR1(X0,X1)
      | cC8(X0) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f555,plain,
    ! [X0] :
      ( ~ cC2xcomp(X0)
      | ~ cC78xcomp(X0)
      | cC80(X0) ),
    inference(cnf_transformation,[],[f352]) ).

fof(f557,plain,
    ! [X0] :
      ( ra_Px25(X0,sK55(X0))
      | cC82(X0) ),
    inference(cnf_transformation,[],[f355]) ).

fof(f560,plain,
    ! [X0,X1] :
      ( ~ cC80(X1)
      | ~ rR1(X0,X1)
      | cC82(X0) ),
    inference(cnf_transformation,[],[f358]) ).

fof(f562,plain,
    ! [X0,X1] :
      ( ~ ra_Px25(X0,X1)
      | cC82xcomp(X0) ),
    inference(cnf_transformation,[],[f361]) ).

fof(f563,plain,
    ! [X0] :
      ( ~ cC84(X0)
      | cC2xcomp(sK58(X0)) ),
    inference(cnf_transformation,[],[f364]) ).

fof(f564,plain,
    ! [X0] :
      ( ~ cC84(X0)
      | rR1(X0,sK58(X0)) ),
    inference(cnf_transformation,[],[f364]) ).

fof(f565,plain,
    ! [X0,X1] :
      ( ~ cC2xcomp(X1)
      | ~ rR1(X0,X1)
      | cC84(X0) ),
    inference(cnf_transformation,[],[f364]) ).

fof(f581,plain,
    ! [X0] :
      ( ~ cC90(X0)
      | ~ cC82xcomp(X0)
      | cC92(X0) ),
    inference(cnf_transformation,[],[f380]) ).

fof(f593,plain,
    cC42xcomp(iV8467),
    inference(cnf_transformation,[],[f101]) ).

fof(f595,plain,
    cowlThing(iV8467),
    inference(cnf_transformation,[],[f103]) ).

fof(f596,plain,
    rR1(iV8467,iV8471),
    inference(cnf_transformation,[],[f104]) ).

fof(f597,plain,
    rR1(iV8467,iV8470),
    inference(cnf_transformation,[],[f105]) ).

fof(f598,plain,
    rR1(iV8467,iV8469),
    inference(cnf_transformation,[],[f106]) ).

fof(f599,plain,
    rR1(iV8467,iV8474),
    inference(cnf_transformation,[],[f107]) ).

fof(f600,plain,
    rR1(iV8467,iV8468),
    inference(cnf_transformation,[],[f108]) ).

fof(f603,plain,
    rR1(iV8467,iV8472),
    inference(cnf_transformation,[],[f111]) ).

fof(f604,plain,
    cC2xcomp(iV8468),
    inference(cnf_transformation,[],[f112]) ).

fof(f606,plain,
    cC6xcomp(iV8469),
    inference(cnf_transformation,[],[f114]) ).

fof(f609,plain,
    cTOP(iV8470),
    inference(cnf_transformation,[],[f117]) ).

fof(f611,plain,
    cC78xcomp(iV8471),
    inference(cnf_transformation,[],[f119]) ).

fof(f612,plain,
    cC2xcomp(iV8471),
    inference(cnf_transformation,[],[f120]) ).

fof(f613,plain,
    cowlThing(iV8471),
    inference(cnf_transformation,[],[f121]) ).

fof(f615,plain,
    cC2xcomp(iV8472),
    inference(cnf_transformation,[],[f123]) ).

fof(f616,plain,
    cowlThing(iV8472),
    inference(cnf_transformation,[],[f124]) ).

fof(f617,plain,
    rR1(iV8472,iV8476),
    inference(cnf_transformation,[],[f125]) ).

fof(f620,plain,
    cC32xcomp(iV8474),
    inference(cnf_transformation,[],[f128]) ).

fof(f625,plain,
    cC2(iV8476),
    inference(cnf_transformation,[],[f133]) ).

fof(f627,plain,
    ( ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | xsd_string(sK68)
    | ~ xsd_integer(sK68)
    | cowlNothing(sK67)
    | ~ cowlThing(sK67) ),
    inference(cnf_transformation,[],[f392]) ).

fof(f628,plain,
    ( ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ xsd_string(sK68)
    | xsd_integer(sK68)
    | cowlNothing(sK67)
    | ~ cowlThing(sK67) ),
    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_53,plain,
    ! [X0: $i] :
      ( cC10(X0)
      | ~ cC8(X0)
      | ~ cC4(X0) ),
    inference(cnf_transformation,[],[f397]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i] :
      ( cC14(X0)
      | ~ cTOP(X1)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f402]) ).

tcf(c_70,plain,
    ! [X0: $i,X1: $i] :
      ( cC20(X0)
      | ~ cC2xcomp(X1)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f416]) ).

tcf(c_71,plain,
    ! [X0: $i] :
      ( rR1(X0,sK7(X0))
      | ~ cC20(X0) ),
    inference(cnf_transformation,[],[f415]) ).

tcf(c_72,plain,
    ! [X0: $i] :
      ( cC2xcomp(sK7(X0))
      | ~ cC20(X0) ),
    inference(cnf_transformation,[],[f414]) ).

tcf(c_101,plain,
    ! [X0: $i,X1: $i] :
      ( cC34(X0)
      | ~ ra_Px9(X0,X1) ),
    inference(cnf_transformation,[],[f446]) ).

tcf(c_103,plain,
    ! [X0: $i,X1: $i] :
      ( cC34(X0)
      | ~ cC32xcomp(X1)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f449]) ).

tcf(c_106,plain,
    ! [X0: $i] :
      ( cC34xcomp(X0)
      | ra_Px9(X0,sK20(X0)) ),
    inference(cnf_transformation,[],[f451]) ).

tcf(c_118,plain,
    ! [X0: $i,X1: $i] :
      ( cC4(X0)
      | ~ cC2xcomp(X1)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f462]) ).

tcf(c_123,plain,
    ! [X0: $i,X1: $i] :
      ( ~ cC42(X0)
      | ~ ra_Px31(X0,X1) ),
    inference(cnf_transformation,[],[f466]) ).

tcf(c_124,plain,
    ! [X0: $i] :
      ( cC42(X0)
      | ~ cC40(X0)
      | ~ cC34xcomp(X0) ),
    inference(cnf_transformation,[],[f470]) ).

tcf(c_127,plain,
    ! [X0: $i] :
      ( ra_Px31(X0,sK27(X0))
      | ~ cC42xcomp(X0) ),
    inference(cnf_transformation,[],[f471]) ).

tcf(c_133,plain,
    ! [X0: $i,X1: $i] :
      ( cC48(X0)
      | ~ cC2xcomp(X1)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f479]) ).

tcf(c_158,plain,
    ! [X0: $i,X1: $i] :
      ( cC58(X0)
      | ~ cC2(X1)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f504]) ).

tcf(c_168,plain,
    ! [X0: $i] :
      ( cC60(X0)
      | ~ cC58(X0)
      | ~ cC2xcomp(X0) ),
    inference(cnf_transformation,[],[f514]) ).

tcf(c_170,plain,
    ! [X0: $i] :
      ( cC58(X0)
      | ~ cC60(X0) ),
    inference(cnf_transformation,[],[f512]) ).

tcf(c_171,plain,
    ! [X0: $i,X1: $i] :
      ( cC62(X0)
      | ~ cC60(X1)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f517]) ).

tcf(c_208,plain,
    ! [X0: $i,X1: $i] :
      ( cC8(X0)
      | ~ cC6xcomp(X1)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f552]) ).

tcf(c_209,plain,
    ! [X0: $i] :
      ( cC80(X0)
      | ~ cC78xcomp(X0)
      | ~ cC2xcomp(X0) ),
    inference(cnf_transformation,[],[f555]) ).

tcf(c_212,plain,
    ! [X0: $i] :
      ( cC82(X0)
      | ra_Px25(X0,sK55(X0)) ),
    inference(cnf_transformation,[],[f557]) ).

tcf(c_214,plain,
    ! [X0: $i,X1: $i] :
      ( cC82(X0)
      | ~ cC80(X1)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f560]) ).

tcf(c_217,plain,
    ! [X0: $i,X1: $i] :
      ( cC82xcomp(X0)
      | ~ ra_Px25(X0,X1) ),
    inference(cnf_transformation,[],[f562]) ).

tcf(c_219,plain,
    ! [X0: $i,X1: $i] :
      ( cC84(X0)
      | ~ cC2xcomp(X1)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f565]) ).

tcf(c_220,plain,
    ! [X0: $i] :
      ( rR1(X0,sK58(X0))
      | ~ cC84(X0) ),
    inference(cnf_transformation,[],[f564]) ).

tcf(c_221,plain,
    ! [X0: $i] :
      ( cC2xcomp(sK58(X0))
      | ~ cC84(X0) ),
    inference(cnf_transformation,[],[f563]) ).

tcf(c_235,plain,
    ! [X0: $i] :
      ( cC92(X0)
      | ~ cC90(X0)
      | ~ cC82xcomp(X0) ),
    inference(cnf_transformation,[],[f581]) ).

tcf(c_249,plain,
    cC42xcomp(iV8467),
    inference(cnf_transformation,[],[f593]) ).

tcf(c_251,plain,
    cowlThing(iV8467),
    inference(cnf_transformation,[],[f595]) ).

tcf(c_252,plain,
    rR1(iV8467,iV8471),
    inference(cnf_transformation,[],[f596]) ).

tcf(c_253,plain,
    rR1(iV8467,iV8470),
    inference(cnf_transformation,[],[f597]) ).

tcf(c_254,plain,
    rR1(iV8467,iV8469),
    inference(cnf_transformation,[],[f598]) ).

tcf(c_255,plain,
    rR1(iV8467,iV8474),
    inference(cnf_transformation,[],[f599]) ).

tcf(c_256,plain,
    rR1(iV8467,iV8468),
    inference(cnf_transformation,[],[f600]) ).

tcf(c_259,plain,
    rR1(iV8467,iV8472),
    inference(cnf_transformation,[],[f603]) ).

tcf(c_260,plain,
    cC2xcomp(iV8468),
    inference(cnf_transformation,[],[f604]) ).

tcf(c_262,plain,
    cC6xcomp(iV8469),
    inference(cnf_transformation,[],[f606]) ).

tcf(c_265,plain,
    cTOP(iV8470),
    inference(cnf_transformation,[],[f609]) ).

tcf(c_267,plain,
    cC78xcomp(iV8471),
    inference(cnf_transformation,[],[f611]) ).

tcf(c_268,plain,
    cC2xcomp(iV8471),
    inference(cnf_transformation,[],[f612]) ).

tcf(c_269,plain,
    cowlThing(iV8471),
    inference(cnf_transformation,[],[f613]) ).

tcf(c_271,plain,
    cC2xcomp(iV8472),
    inference(cnf_transformation,[],[f615]) ).

tcf(c_272,plain,
    cowlThing(iV8472),
    inference(cnf_transformation,[],[f616]) ).

tcf(c_273,plain,
    rR1(iV8472,iV8476),
    inference(cnf_transformation,[],[f617]) ).

tcf(c_276,plain,
    cC32xcomp(iV8474),
    inference(cnf_transformation,[],[f620]) ).

tcf(c_281,plain,
    cC2(iV8476),
    inference(cnf_transformation,[],[f625]) ).

tcf(c_283,negated_conjecture,
    ( xsd_integer(sK68)
    | cowlNothing(sK67)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC10(iV8467)
    | ~ xsd_string(sK68)
    | ~ cowlThing(sK67)
    | ~ cowlThing(iV8472)
    | ~ cowlThing(iV8471)
    | ~ cowlThing(iV8467) ),
    inference(cnf_transformation,[],[f628]) ).

tcf(c_284,negated_conjecture,
    ( xsd_string(sK68)
    | cowlNothing(sK67)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC10(iV8467)
    | ~ xsd_integer(sK68)
    | ~ cowlThing(sK67)
    | ~ cowlThing(iV8472)
    | ~ cowlThing(iV8471)
    | ~ cowlThing(iV8467) ),
    inference(cnf_transformation,[],[f627]) ).

tcf(c_382,plain,
    ( rR1(iV8467,sK58(iV8467))
    | ~ cC84(iV8467) ),
    inference(instantiation,[status(thm)],[c_220]) ).

tcf(c_436,plain,
    ( rR1(iV8467,sK7(iV8467))
    | ~ cC20(iV8467) ),
    inference(instantiation,[status(thm)],[c_71]) ).

tcf(c_453,plain,
    ( cC10(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_484,plain,
    ( xsd_string(sK68)
    | cowlNothing(sK67)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cowlThing(sK67)
    | ~ xsd_integer(sK68) ),
    inference(global_subsumption_just,[status(thm)],[c_284,c_272,c_269,c_251,c_453,c_284]) ).

tcf(c_485,negated_conjecture,
    ( xsd_string(sK68)
    | cowlNothing(sK67)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ xsd_integer(sK68)
    | ~ cowlThing(sK67) ),
    inference(renaming,[status(thm)],[c_484]) ).

tcf(c_486,plain,
    ( xsd_integer(sK68)
    | cowlNothing(sK67)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cowlThing(sK67)
    | ~ xsd_string(sK68) ),
    inference(global_subsumption_just,[status(thm)],[c_283,c_272,c_269,c_251,c_453,c_283]) ).

tcf(c_487,negated_conjecture,
    ( xsd_integer(sK68)
    | cowlNothing(sK67)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ xsd_string(sK68)
    | ~ cowlThing(sK67) ),
    inference(renaming,[status(thm)],[c_486]) ).

tcf(c_488,plain,
    ! [X0: $i] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(prop_impl_just,[status(thm)],[c_52]) ).

tcf(c_489,plain,
    ! [X0: $i] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(renaming,[status(thm)],[c_488]) ).

tcf(c_490,plain,
    ! [X0: $i] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(prop_impl_just,[status(thm)],[c_51]) ).

tcf(c_491,plain,
    ! [X0: $i] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(renaming,[status(thm)],[c_490]) ).

tcf(c_546,plain,
    ! [X0: $i] :
      ( cC2xcomp(sK7(X0))
      | ~ cC20(X0) ),
    inference(prop_impl_just,[status(thm)],[c_72]) ).

tcf(c_618,plain,
    ! [X0: $i,X1: $i] :
      ( cC34(X0)
      | ~ ra_Px9(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_101]) ).

tcf(c_626,plain,
    ! [X0: $i] :
      ( ra_Px9(X0,sK20(X0))
      | cC34xcomp(X0) ),
    inference(prop_impl_just,[status(thm)],[c_106]) ).

tcf(c_627,plain,
    ! [X0: $i] :
      ( cC34xcomp(X0)
      | ra_Px9(X0,sK20(X0)) ),
    inference(renaming,[status(thm)],[c_626]) ).

tcf(c_660,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ra_Px31(X0,X1)
      | ~ cC42(X0) ),
    inference(prop_impl_just,[status(thm)],[c_123]) ).

tcf(c_661,plain,
    ! [X0: $i,X1: $i] :
      ( ~ cC42(X0)
      | ~ ra_Px31(X0,X1) ),
    inference(renaming,[status(thm)],[c_660]) ).

tcf(c_666,plain,
    ! [X0: $i] :
      ( ra_Px31(X0,sK27(X0))
      | ~ cC42xcomp(X0) ),
    inference(prop_impl_just,[status(thm)],[c_127]) ).

tcf(c_742,plain,
    ! [X0: $i] :
      ( ~ cC60(X0)
      | cC58(X0) ),
    inference(prop_impl_just,[status(thm)],[c_170]) ).

tcf(c_743,plain,
    ! [X0: $i] :
      ( cC58(X0)
      | ~ cC60(X0) ),
    inference(renaming,[status(thm)],[c_742]) ).

tcf(c_856,plain,
    ! [X0: $i,X1: $i] :
      ( cC82xcomp(X0)
      | ~ ra_Px25(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_217]) ).

tcf(c_858,plain,
    ! [X0: $i] :
      ( ra_Px25(X0,sK55(X0))
      | cC82(X0) ),
    inference(prop_impl_just,[status(thm)],[c_212]) ).

tcf(c_859,plain,
    ! [X0: $i] :
      ( cC82(X0)
      | ra_Px25(X0,sK55(X0)) ),
    inference(renaming,[status(thm)],[c_858]) ).

tcf(c_868,plain,
    ! [X0: $i] :
      ( cC2xcomp(sK58(X0))
      | ~ cC84(X0) ),
    inference(prop_impl_just,[status(thm)],[c_221]) ).

tcf(c_1432,plain,
    ( xsd_integer(sK68)
    | cowlNothing(sK67)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ xsd_string(sK68) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_487,c_49]) ).

tcf(c_1433,plain,
    ( xsd_string(sK68)
    | cowlNothing(sK67)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ xsd_integer(sK68) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_485,c_49]) ).

tcf(c_1466,plain,
    ( xsd_string(sK68)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ xsd_integer(sK68) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1433,c_50]) ).

tcf(c_1467,plain,
    ( xsd_integer(sK68)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ xsd_string(sK68) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1432,c_50]) ).

tcf(c_1489,plain,
    ( xsd_integer(sK68)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1467,c_491]) ).

tcf(c_1491,plain,
    ( xsd_string(sK68)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1466,c_491]) ).

tcf(c_1536,plain,
    ( xsd_integer(sK68)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1489,c_743]) ).

tcf(c_1537,plain,
    ( xsd_string(sK68)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1491,c_743]) ).

tcf(c_2412,plain,
    ra_Px31(iV8467,sK27(iV8467)),
    inference(resolution,[status(thm)],[c_666,c_249]) ).

tcf(c_2447,plain,
    ~ cC42(iV8467),
    inference(resolution,[status(thm)],[c_661,c_2412]) ).

tcf(c_2480,plain,
    ! [X0: $i] :
      ( cC14(X0)
      | ~ rR1(X0,iV8470) ),
    inference(resolution,[status(thm)],[c_56,c_265]) ).

tcf(c_2481,plain,
    ( cC14(iV8467)
    | ~ rR1(iV8467,iV8470) ),
    inference(instantiation,[status(thm)],[c_2480]) ).

tcf(c_2749,plain,
    ! [X0: $i] :
      ( cC34xcomp(X0)
      | cC34(X0) ),
    inference(resolution,[status(thm)],[c_618,c_627]) ).

tcf(c_2865,plain,
    ! [X0: $i] :
      ( cC8(X0)
      | ~ rR1(X0,iV8469) ),
    inference(resolution,[status(thm)],[c_208,c_262]) ).

tcf(c_2866,plain,
    ( cC8(iV8467)
    | ~ rR1(iV8467,iV8469) ),
    inference(instantiation,[status(thm)],[c_2865]) ).

tcf(c_2923,plain,
    ! [X0: $i] :
      ( cC82xcomp(X0)
      | cC82(X0) ),
    inference(resolution,[status(thm)],[c_859,c_856]) ).

tcf(c_3031,plain,
    ! [X0: $i] :
      ( cC42(X0)
      | cC34(X0)
      | ~ cC40(X0) ),
    inference(resolution,[status(thm)],[c_2749,c_124]) ).

tcf(c_3169,plain,
    ! [X0: $i] :
      ( cC92(X0)
      | cC82(X0)
      | ~ cC90(X0) ),
    inference(resolution,[status(thm)],[c_2923,c_235]) ).

tcf(c_3220,plain,
    ( ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ xsd_integer(sK68) ),
    inference(resolution,[status(thm)],[c_489,c_1537]) ).

tcf(c_3221,plain,
    ( ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC4(iV8467) ),
    inference(global_subsumption_just,[status(thm)],[c_3220,c_254,c_253,c_1536,c_2481,c_2866,c_3220]) ).

tcf(c_3293,plain,
    ! [X0: $i] :
      ( ~ cC82(iV8467)
      | ~ cC80(iV8471)
      | ~ cC62(iV8467)
      | ~ cC60(iV8472)
      | ~ cC48(iV8467)
      | ~ cC34(iV8467)
      | ~ cC20(iV8467)
      | ~ cC2xcomp(X0)
      | ~ rR1(iV8467,X0) ),
    inference(resolution,[status(thm)],[c_118,c_3221]) ).

tcf(c_3313,plain,
    ! [X0: $i] :
      ( ~ cC82(iV8467)
      | ~ cC80(iV8471)
      | ~ cC62(iV8467)
      | ~ cC60(iV8472)
      | ~ cC34(iV8467)
      | ~ cC2xcomp(X0)
      | ~ rR1(iV8467,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3293,c_133,c_70]) ).

tcf(c_3363,plain,
    ! [X0: $i] :
      ( cC34(X0)
      | ~ rR1(X0,iV8474) ),
    inference(resolution,[status(thm)],[c_103,c_276]) ).

tcf(c_3364,plain,
    ( cC34(iV8467)
    | ~ rR1(iV8467,iV8474) ),
    inference(instantiation,[status(thm)],[c_3363]) ).

tcf(c_3407,plain,
    ( cC80(iV8471)
    | ~ cC2xcomp(iV8471) ),
    inference(resolution,[status(thm)],[c_209,c_267]) ).

tcf(c_3408,plain,
    cC80(iV8471),
    inference(global_subsumption_just,[status(thm)],[c_3407,c_268,c_3407]) ).

tcf(c_3420,plain,
    ! [X0: $i] :
      ( ~ cC82(iV8467)
      | ~ cC62(iV8467)
      | ~ cC60(iV8472)
      | ~ cC34(iV8467)
      | ~ cC2xcomp(X0)
      | ~ rR1(iV8467,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3313,c_3408]) ).

tcf(c_4739,plain,
    ( cC34(iV8467)
    | ~ cC40(iV8467) ),
    inference(resolution,[status(thm)],[c_3031,c_2447]) ).

tcf(c_4740,plain,
    cC34(iV8467),
    inference(global_subsumption_just,[status(thm)],[c_4739,c_255,c_3364]) ).

tcf(c_4764,plain,
    ! [X0: $i] :
      ( ~ cC82(iV8467)
      | ~ cC62(iV8467)
      | ~ cC60(iV8472)
      | ~ cC2xcomp(X0)
      | ~ rR1(iV8467,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3420,c_4740]) ).

tcf(c_5068,plain,
    ! [X0: $i] :
      ( cC82(X0)
      | ~ rR1(X0,iV8471) ),
    inference(resolution,[status(thm)],[c_214,c_3408]) ).

tcf(c_5069,plain,
    ( cC82(iV8467)
    | ~ rR1(iV8467,iV8471) ),
    inference(instantiation,[status(thm)],[c_5068]) ).

tcf(c_5416,plain,
    ! [X0: $i] :
      ( cC92(iV8467)
      | ~ cC90(iV8467)
      | ~ cC62(iV8467)
      | ~ cC60(iV8472)
      | ~ cC2xcomp(X0)
      | ~ rR1(iV8467,X0) ),
    inference(resolution,[status(thm)],[c_3169,c_4764]) ).

tcf(c_5418,plain,
    ! [X0: $i] :
      ( ~ cC62(iV8467)
      | ~ cC60(iV8472)
      | ~ cC2xcomp(X0)
      | ~ rR1(iV8467,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_5416,c_268,c_255,c_252,c_3313,c_3364,c_3407,c_5069]) ).

tcf(c_7138,plain,
    ! [X0: $i] :
      ( ~ cC62(iV8467)
      | ~ cC60(iV8472)
      | ~ cC20(X0)
      | ~ rR1(iV8467,sK7(X0)) ),
    inference(resolution,[status(thm)],[c_5418,c_546]) ).

tcf(c_7139,plain,
    ( ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC20(iV8467)
    | ~ rR1(iV8467,sK7(iV8467)) ),
    inference(instantiation,[status(thm)],[c_7138]) ).

tcf(c_7628,plain,
    ( cC60(iV8472)
    | ~ cC58(iV8472) ),
    inference(resolution,[status(thm)],[c_168,c_271]) ).

tcf(c_8080,plain,
    ! [X0: $i,X1: $i] :
      ( cC20(X0)
      | ~ cC84(X1)
      | ~ rR1(X0,sK58(X1)) ),
    inference(resolution,[status(thm)],[c_70,c_868]) ).

tcf(c_8081,plain,
    ( cC20(iV8467)
    | ~ cC84(iV8467)
    | ~ rR1(iV8467,sK58(iV8467)) ),
    inference(instantiation,[status(thm)],[c_8080]) ).

tcf(c_8091,plain,
    ! [X0: $i] :
      ( cC84(X0)
      | ~ rR1(X0,iV8468) ),
    inference(resolution,[status(thm)],[c_219,c_260]) ).

tcf(c_8092,plain,
    ( cC84(iV8467)
    | ~ rR1(iV8467,iV8468) ),
    inference(instantiation,[status(thm)],[c_8091]) ).

tcf(c_9023,plain,
    ( ~ cC60(iV8472)
    | ~ cC62(iV8467) ),
    inference(prop_impl_just,[status(thm)],[c_256,c_382,c_436,c_7139,c_8081,c_8092]) ).

tcf(c_9024,plain,
    ( ~ cC62(iV8467)
    | ~ cC60(iV8472) ),
    inference(renaming,[status(thm)],[c_9023]) ).

tcf(c_11870,plain,
    ( ~ cC62(iV8467)
    | ~ cC58(iV8472)
    | ~ cC2xcomp(iV8472) ),
    inference(resolution,[status(thm)],[c_168,c_9024]) ).

tcf(c_11871,plain,
    ( ~ cC62(iV8467)
    | ~ cC58(iV8472) ),
    inference(global_subsumption_just,[status(thm)],[c_11870,c_271,c_11870]) ).

tcf(c_21034,plain,
    ! [X0: $i] :
      ( cC58(X0)
      | ~ cC2(iV8476)
      | ~ rR1(X0,iV8476) ),
    inference(instantiation,[status(thm)],[c_158]) ).

tcf(c_21225,plain,
    ( cC58(iV8472)
    | ~ cC2(iV8476)
    | ~ rR1(iV8472,iV8476) ),
    inference(instantiation,[status(thm)],[c_21034]) ).

tcf(c_23317,plain,
    ! [X0: $i] :
      ( cC62(X0)
      | ~ cC60(iV8472)
      | ~ rR1(X0,iV8472) ),
    inference(instantiation,[status(thm)],[c_171]) ).

tcf(c_23318,plain,
    ( cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ rR1(iV8467,iV8472) ),
    inference(instantiation,[status(thm)],[c_23317]) ).

tcf(c_23319,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_23318,c_21225,c_11871,c_7628,c_259,c_273,c_281]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS155+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38  % Computer : n009.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Wed Sep 23 19:32:29 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.43  
% 0.10/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43  
% 0.10/0.43  % Detected problem language: tptp
% 0.10/0.45  % Proving...
% 2.72/1.22  % SZS status Started for theBenchmark.p
% 2.72/1.22  % SZS status Theorem for theBenchmark.p
% 2.72/1.22  
% 2.72/1.22  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.72/1.22  
% 2.72/1.22  % ------  iProver source info
% 2.72/1.22  
% 2.72/1.22  % git: date: 2026-07-19 20:42:38 +0200
% 2.72/1.22  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.72/1.22  % git: non_committed_changes: false
% 2.72/1.22  
% 2.72/1.22  % ------ Parsing...
% 2.72/1.22  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.72/1.22  
% 2.72/1.22  % ------ Preprocessing... sf_s  rm: 3 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 2.72/1.22  
% 2.72/1.22  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.72/1.22  % ------ Proving...
% 2.72/1.22  % ------ Problem Properties 
% 2.72/1.22  
% 2.72/1.22  % 
% 2.72/1.22  % clauses                               141
% 2.72/1.22  % conjectures                           0
% 2.72/1.22  % EPR                                   85
% 2.72/1.22  % Horn                                  128
% 2.72/1.22  % unary                                 24
% 2.72/1.22  % binary                                80
% 2.72/1.22  % lits                                  295
% 2.72/1.22  % lits eq                               0
% 2.72/1.22  % fd_pure                               0
% 2.72/1.22  % fd_pseudo                             0
% 2.72/1.22  % fd_cond                               0
% 2.72/1.22  % fd_pseudo_cond                        0
% 2.72/1.22  % AC symbols                            0
% 2.72/1.22  
% 2.72/1.22  % ------ Schedule dynamic 5 is on 
% 2.72/1.22  
% 2.72/1.22  % ------ no conjectures: strip conj schedule 
% 2.72/1.22  
% 2.72/1.22  % ------ no equalities: superposition off 
% 2.72/1.22  
% 2.72/1.22  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.72/1.22  
% 2.72/1.22  
% 2.72/1.22  % ------ 
% 2.72/1.22  % Current options:
% 2.72/1.22  % ------ 
% 2.72/1.22  
% 2.72/1.22  
% 2.72/1.22  % 
% 2.72/1.22  
% 2.72/1.22  % ------ Proving...
% 2.72/1.22  % 
% 2.72/1.22  
% 2.72/1.22  % SZS status Theorem for theBenchmark.p
% 2.72/1.22  
% 2.72/1.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.72/1.23  
% 2.72/1.23  
%------------------------------------------------------------------------------