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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : KRS147+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 : n016.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 01:54:16 PM UTC 2026

% Result   : Theorem 3.32s 1.34s
% Output   : CNFRefutation 3.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  185 (  55 unt;   0 def)
%            Number of atoms       :  831 (   0 equ)
%            Maximal formula atoms :   21 (   4 avg)
%            Number of connectives : 1162 ( 516   ~; 510   |; 115   &)
%                                         (  16 <=>;   4  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   20 (   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  :   24 (  23 usr;   2 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   9 con; 0-1 aty)
%            Number of variables   :  174 (   0 sgn 146   !;  28   ?;  47   :)

% 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(f5,axiom,
    ! [X0] :
      ( cC14(X0)
    <=> ? [X1] :
          ( cTOP(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f8,axiom,
    ! [X0] :
      ( cC20(X0)
    <=> ? [X1] :
          ( ~ cC2(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f15,axiom,
    ! [X0] :
      ( cC34(X0)
    <=> ? [X1] :
          ( ~ cC32(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f18,axiom,
    ! [X0] :
      ( cC4(X0)
    <=> ? [X1] :
          ( ~ cC2(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).

fof(f23,axiom,
    ! [X0] :
      ( cC48(X0)
    <=> ? [X1] :
          ( ~ cC2(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).

fof(f28,axiom,
    ! [X0] :
      ( cC58(X0)
    <=> ? [X1] :
          ( cC2(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).

fof(f30,axiom,
    ! [X0] :
      ( cC60(X0)
    <=> ( ~ cC2(X0)
        & cC58(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).

fof(f31,axiom,
    ! [X0] :
      ( cC62(X0)
    <=> ? [X1] :
          ( cC60(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).

fof(f40,axiom,
    ! [X0] :
      ( cC8(X0)
    <=> ? [X1] :
          ( ~ cC6(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).

fof(f41,axiom,
    ! [X0] :
      ( cC80(X0)
    <=> ( ~ cC78(X0)
        & ~ cC2(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).

fof(f42,axiom,
    ! [X0] :
      ( cC82(X0)
    <=> ? [X1] :
          ( cC80(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).

fof(f53,axiom,
    cowlThing(iV8467),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).

fof(f56,axiom,
    rR1(iV8467,iV8471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).

fof(f59,axiom,
    rR1(iV8467,iV8469),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).

fof(f61,axiom,
    rR1(iV8467,iV8472),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).

fof(f62,axiom,
    rR1(iV8467,iV8474),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).

fof(f63,axiom,
    rR1(iV8467,iV8470),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).

fof(f66,axiom,
    ~ cC6(iV8469),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).

fof(f69,axiom,
    cTOP(iV8470),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_68) ).

fof(f71,axiom,
    ~ cC2(iV8471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).

fof(f72,axiom,
    ~ cC78(iV8471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).

fof(f73,axiom,
    cowlThing(iV8471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_72) ).

fof(f75,axiom,
    ~ cC2(iV8472),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_74) ).

fof(f76,axiom,
    cowlThing(iV8472),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_75) ).

fof(f77,axiom,
    rR1(iV8472,iV8476),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_76) ).

fof(f81,axiom,
    ~ cC32(iV8474),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).

fof(f85,axiom,
    cC2(iV8476),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_84) ).

fof(f87,conjecture,
    ( cC58(iV8472)
    & cowlThing(iV8472)
    & cC60(iV8472)
    & cC80(iV8471)
    & cowlThing(iV8471)
    & cC34(iV8467)
    & cC62(iV8467)
    & cowlThing(iV8467)
    & cC20(iV8467)
    & cC8(iV8467)
    & cC14(iV8467)
    & cC82(iV8467)
    & cC4(iV8467)
    & cC48(iV8467)
    & cC10(iV8467)
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f88,negated_conjecture,
    ~ ( cC58(iV8472)
      & cowlThing(iV8472)
      & cC60(iV8472)
      & cC80(iV8471)
      & cowlThing(iV8471)
      & cC34(iV8467)
      & cC62(iV8467)
      & cowlThing(iV8467)
      & cC20(iV8467)
      & cC8(iV8467)
      & cC14(iV8467)
      & cC82(iV8467)
      & cC4(iV8467)
      & cC48(iV8467)
      & cC10(iV8467)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negated_conjecture,[status(cth)],[f87]) ).

fof(f89,plain,
    ~ ( cC58(iV8472)
      & cowlThing(iV8472)
      & cC60(iV8472)
      & cC80(iV8471)
      & cowlThing(iV8471)
      & cC34(iV8467)
      & cC62(iV8467)
      & cowlThing(iV8467)
      & cC20(iV8467)
      & cC8(iV8467)
      & cC14(iV8467)
      & cC82(iV8467)
      & cC4(iV8467)
      & cC48(iV8467)
      & cC10(iV8467)
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(rectify,[],[f88]) ).

fof(f106,plain,
    ! [X0] :
      ( ? [X1] :
          ( cTOP(X1)
          & rR1(X0,X1) )
     => cC14(X0) ),
    inference(unused_predicate_definition_removal,[],[f5]) ).

fof(f107,plain,
    ! [X0] :
      ( ( cC8(X0)
        & cC4(X0) )
     => cC10(X0) ),
    inference(unused_predicate_definition_removal,[],[f3]) ).

fof(f108,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ cC2(X1)
          & rR1(X0,X1) )
     => cC4(X0) ),
    inference(unused_predicate_definition_removal,[],[f18]) ).

fof(f109,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ cC6(X1)
          & rR1(X0,X1) )
     => cC8(X0) ),
    inference(unused_predicate_definition_removal,[],[f40]) ).

fof(f113,plain,
    ! [X0] :
      ( ~ cC8(X0)
      | ~ cC4(X0)
      | cC10(X0) ),
    inference(ennf_transformation,[],[f107]) ).

fof(f114,plain,
    ! [X0] :
      ( ~ cC8(X0)
      | ~ cC4(X0)
      | cC10(X0) ),
    inference(flattening,[],[f113]) ).

fof(f115,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ cTOP(X1)
          | ~ rR1(X0,X1) )
      | cC14(X0) ),
    inference(ennf_transformation,[],[f106]) ).

fof(f122,plain,
    ! [X0] :
      ( ! [X1] :
          ( cC2(X1)
          | ~ rR1(X0,X1) )
      | cC4(X0) ),
    inference(ennf_transformation,[],[f108]) ).

fof(f136,plain,
    ! [X0] :
      ( ! [X1] :
          ( cC6(X1)
          | ~ rR1(X0,X1) )
      | cC8(X0) ),
    inference(ennf_transformation,[],[f109]) ).

fof(f147,plain,
    ( ~ cC58(iV8472)
    | ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC34(iV8467)
    | ~ cC62(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC20(iV8467)
    | ~ cC8(iV8467)
    | ~ cC14(iV8467)
    | ~ cC82(iV8467)
    | ~ cC4(iV8467)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) ) ),
    inference(ennf_transformation,[],[f89]) ).

fof(f148,plain,
    ! [X0] :
      ( ( ~ xsd_string(X0)
        | ~ xsd_integer(X0) )
      & ( xsd_integer(X0)
        | xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f149,plain,
    ! [X0] :
      ( ( ~ cC20(X0)
        | ? [X1] :
            ( ~ cC2(X1)
            & rR1(X0,X1) ) )
      & ( ! [X1] :
            ( cC2(X1)
            | ~ rR1(X0,X1) )
        | cC20(X0) ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f150,plain,
    ! [X0] :
      ( ( ~ cC20(X0)
        | ? [X2] :
            ( ~ cC2(X2)
            & rR1(X0,X2) ) )
      & ( ! [X1] :
            ( cC2(X1)
            | ~ rR1(X0,X1) )
        | cC20(X0) ) ),
    inference(rectify,[],[f149]) ).

fof(f151,plain,
    ! [X0] :
      ( ( ~ cC20(X0)
        | ( ~ cC2(sK0(X0))
          & rR1(X0,sK0(X0)) ) )
      & ( ! [X1] :
            ( cC2(X1)
            | ~ rR1(X0,X1) )
        | cC20(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f150]) ).

fof(f155,plain,
    ! [X0] :
      ( ( ~ cC34(X0)
        | ? [X1] :
            ( ~ cC32(X1)
            & rR1(X0,X1) ) )
      & ( ! [X1] :
            ( cC32(X1)
            | ~ rR1(X0,X1) )
        | cC34(X0) ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f156,plain,
    ! [X0] :
      ( ( ~ cC34(X0)
        | ? [X2] :
            ( ~ cC32(X2)
            & rR1(X0,X2) ) )
      & ( ! [X1] :
            ( cC32(X1)
            | ~ rR1(X0,X1) )
        | cC34(X0) ) ),
    inference(rectify,[],[f155]) ).

fof(f157,plain,
    ! [X0] :
      ( ( ~ cC34(X0)
        | ( ~ cC32(sK2(X0))
          & rR1(X0,sK2(X0)) ) )
      & ( ! [X1] :
            ( cC32(X1)
            | ~ rR1(X0,X1) )
        | cC34(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0))],[f156]) ).

fof(f159,plain,
    ! [X0] :
      ( ( ~ cC48(X0)
        | ? [X1] :
            ( ~ cC2(X1)
            & rR1(X0,X1) ) )
      & ( ! [X1] :
            ( cC2(X1)
            | ~ rR1(X0,X1) )
        | cC48(X0) ) ),
    inference(nnf_transformation,[],[f23]) ).

fof(f160,plain,
    ! [X0] :
      ( ( ~ cC48(X0)
        | ? [X2] :
            ( ~ cC2(X2)
            & rR1(X0,X2) ) )
      & ( ! [X1] :
            ( cC2(X1)
            | ~ rR1(X0,X1) )
        | cC48(X0) ) ),
    inference(rectify,[],[f159]) ).

fof(f161,plain,
    ! [X0] :
      ( ( ~ cC48(X0)
        | ( ~ cC2(sK4(X0))
          & rR1(X0,sK4(X0)) ) )
      & ( ! [X1] :
            ( cC2(X1)
            | ~ rR1(X0,X1) )
        | cC48(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0))],[f160]) ).

fof(f163,plain,
    ! [X0] :
      ( ( ~ cC58(X0)
        | ? [X1] :
            ( cC2(X1)
            & rR1(X0,X1) ) )
      & ( ! [X1] :
            ( ~ cC2(X1)
            | ~ rR1(X0,X1) )
        | cC58(X0) ) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f164,plain,
    ! [X0] :
      ( ( ~ cC58(X0)
        | ? [X2] :
            ( cC2(X2)
            & rR1(X0,X2) ) )
      & ( ! [X1] :
            ( ~ cC2(X1)
            | ~ rR1(X0,X1) )
        | cC58(X0) ) ),
    inference(rectify,[],[f163]) ).

fof(f165,plain,
    ! [X0] :
      ( ( ~ cC58(X0)
        | ( cC2(sK6(X0))
          & rR1(X0,sK6(X0)) ) )
      & ( ! [X1] :
            ( ~ cC2(X1)
            | ~ rR1(X0,X1) )
        | cC58(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0))],[f164]) ).

fof(f169,plain,
    ! [X0] :
      ( ( ~ cC60(X0)
        | ( ~ cC2(X0)
          & cC58(X0) ) )
      & ( cC2(X0)
        | ~ cC58(X0)
        | cC60(X0) ) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f170,plain,
    ! [X0] :
      ( ( ~ cC60(X0)
        | ( ~ cC2(X0)
          & cC58(X0) ) )
      & ( cC2(X0)
        | ~ cC58(X0)
        | cC60(X0) ) ),
    inference(flattening,[],[f169]) ).

fof(f171,plain,
    ! [X0] :
      ( ( ~ cC62(X0)
        | ? [X1] :
            ( cC60(X1)
            & rR1(X0,X1) ) )
      & ( ! [X1] :
            ( ~ cC60(X1)
            | ~ rR1(X0,X1) )
        | cC62(X0) ) ),
    inference(nnf_transformation,[],[f31]) ).

fof(f172,plain,
    ! [X0] :
      ( ( ~ cC62(X0)
        | ? [X2] :
            ( cC60(X2)
            & rR1(X0,X2) ) )
      & ( ! [X1] :
            ( ~ cC60(X1)
            | ~ rR1(X0,X1) )
        | cC62(X0) ) ),
    inference(rectify,[],[f171]) ).

fof(f173,plain,
    ! [X0] :
      ( ( ~ cC62(X0)
        | ( cC60(sK8(X0))
          & rR1(X0,sK8(X0)) ) )
      & ( ! [X1] :
            ( ~ cC60(X1)
            | ~ rR1(X0,X1) )
        | cC62(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0))],[f172]) ).

fof(f177,plain,
    ! [X0] :
      ( ( ~ cC80(X0)
        | ( ~ cC78(X0)
          & ~ cC2(X0) ) )
      & ( cC78(X0)
        | cC2(X0)
        | cC80(X0) ) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f178,plain,
    ! [X0] :
      ( ( ~ cC80(X0)
        | ( ~ cC78(X0)
          & ~ cC2(X0) ) )
      & ( cC78(X0)
        | cC2(X0)
        | cC80(X0) ) ),
    inference(flattening,[],[f177]) ).

fof(f179,plain,
    ! [X0] :
      ( ( ~ cC82(X0)
        | ? [X1] :
            ( cC80(X1)
            & rR1(X0,X1) ) )
      & ( ! [X1] :
            ( ~ cC80(X1)
            | ~ rR1(X0,X1) )
        | cC82(X0) ) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f180,plain,
    ! [X0] :
      ( ( ~ cC82(X0)
        | ? [X2] :
            ( cC80(X2)
            & rR1(X0,X2) ) )
      & ( ! [X1] :
            ( ~ cC80(X1)
            | ~ rR1(X0,X1) )
        | cC82(X0) ) ),
    inference(rectify,[],[f179]) ).

fof(f181,plain,
    ! [X0] :
      ( ( ~ cC82(X0)
        | ( cC80(sK10(X0))
          & rR1(X0,sK10(X0)) ) )
      & ( ! [X1] :
            ( ~ cC80(X1)
            | ~ rR1(X0,X1) )
        | cC82(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0))],[f180]) ).

fof(f183,plain,
    ( ~ cC58(iV8472)
    | ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC34(iV8467)
    | ~ cC62(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC20(iV8467)
    | ~ cC8(iV8467)
    | ~ cC14(iV8467)
    | ~ cC82(iV8467)
    | ~ cC4(iV8467)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ? [X1] :
        ( ( xsd_string(X1)
          | ~ xsd_integer(X1) )
        & ( ~ xsd_string(X1)
          | xsd_integer(X1) ) )
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) ) ),
    inference(nnf_transformation,[],[f147]) ).

fof(f184,plain,
    ( ~ cC58(iV8472)
    | ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC34(iV8467)
    | ~ cC62(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC20(iV8467)
    | ~ cC8(iV8467)
    | ~ cC14(iV8467)
    | ~ cC82(iV8467)
    | ~ cC4(iV8467)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ( ( xsd_string(sK13)
        | ~ xsd_integer(sK13) )
      & ( ~ xsd_string(sK13)
        | xsd_integer(sK13) ) )
    | cowlNothing(sK12)
    | ~ cowlThing(sK12) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X0,sK12),skolemize(X1,sK13)],[f183]) ).

fof(f185,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f186,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f187,plain,
    ! [X0] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f188,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f189,plain,
    ! [X0] :
      ( ~ cC8(X0)
      | ~ cC4(X0)
      | cC10(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f190,plain,
    ! [X0,X1] :
      ( ~ cTOP(X1)
      | ~ rR1(X0,X1)
      | cC14(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( cC2(X1)
      | ~ rR1(X0,X1)
      | cC20(X0) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f202,plain,
    ! [X0,X1] :
      ( cC32(X1)
      | ~ rR1(X0,X1)
      | cC34(X0) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( cC2(X1)
      | ~ rR1(X0,X1)
      | cC4(X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f211,plain,
    ! [X0,X1] :
      ( cC2(X1)
      | ~ rR1(X0,X1)
      | cC48(X0) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f217,plain,
    ! [X0,X1] :
      ( ~ cC2(X1)
      | ~ rR1(X0,X1)
      | cC58(X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f222,plain,
    ! [X0] :
      ( ~ cC60(X0)
      | cC58(X0) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f223,plain,
    ! [X0] :
      ( cC2(X0)
      | ~ cC58(X0)
      | cC60(X0) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f226,plain,
    ! [X0,X1] :
      ( ~ cC60(X1)
      | ~ rR1(X0,X1)
      | cC62(X0) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f235,plain,
    ! [X0,X1] :
      ( cC6(X1)
      | ~ rR1(X0,X1)
      | cC8(X0) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f238,plain,
    ! [X0] :
      ( cC78(X0)
      | cC2(X0)
      | cC80(X0) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f241,plain,
    ! [X0,X1] :
      ( ~ cC80(X1)
      | ~ rR1(X0,X1)
      | cC82(X0) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f251,plain,
    cowlThing(iV8467),
    inference(cnf_transformation,[],[f53]) ).

fof(f254,plain,
    rR1(iV8467,iV8471),
    inference(cnf_transformation,[],[f56]) ).

fof(f257,plain,
    rR1(iV8467,iV8469),
    inference(cnf_transformation,[],[f59]) ).

fof(f259,plain,
    rR1(iV8467,iV8472),
    inference(cnf_transformation,[],[f61]) ).

fof(f260,plain,
    rR1(iV8467,iV8474),
    inference(cnf_transformation,[],[f62]) ).

fof(f261,plain,
    rR1(iV8467,iV8470),
    inference(cnf_transformation,[],[f63]) ).

fof(f264,plain,
    ~ cC6(iV8469),
    inference(cnf_transformation,[],[f66]) ).

fof(f267,plain,
    cTOP(iV8470),
    inference(cnf_transformation,[],[f69]) ).

fof(f269,plain,
    ~ cC2(iV8471),
    inference(cnf_transformation,[],[f71]) ).

fof(f270,plain,
    ~ cC78(iV8471),
    inference(cnf_transformation,[],[f72]) ).

fof(f271,plain,
    cowlThing(iV8471),
    inference(cnf_transformation,[],[f73]) ).

fof(f273,plain,
    ~ cC2(iV8472),
    inference(cnf_transformation,[],[f75]) ).

fof(f274,plain,
    cowlThing(iV8472),
    inference(cnf_transformation,[],[f76]) ).

fof(f275,plain,
    rR1(iV8472,iV8476),
    inference(cnf_transformation,[],[f77]) ).

fof(f279,plain,
    ~ cC32(iV8474),
    inference(cnf_transformation,[],[f81]) ).

fof(f283,plain,
    cC2(iV8476),
    inference(cnf_transformation,[],[f85]) ).

fof(f285,plain,
    ( ~ cC58(iV8472)
    | ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC34(iV8467)
    | ~ cC62(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC20(iV8467)
    | ~ cC8(iV8467)
    | ~ cC14(iV8467)
    | ~ cC82(iV8467)
    | ~ cC4(iV8467)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | xsd_string(sK13)
    | ~ xsd_integer(sK13)
    | cowlNothing(sK12)
    | ~ cowlThing(sK12) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f286,plain,
    ( ~ cC58(iV8472)
    | ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC34(iV8467)
    | ~ cC62(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC20(iV8467)
    | ~ cC8(iV8467)
    | ~ cC14(iV8467)
    | ~ cC82(iV8467)
    | ~ cC4(iV8467)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ xsd_string(sK13)
    | xsd_integer(sK13)
    | cowlNothing(sK12)
    | ~ cowlThing(sK12) ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_49,plain,
    ! [X0: $i] : cowlThing(X0),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_50,plain,
    ! [X0: $i] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_51,plain,
    ! [X0: $i] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_52,plain,
    ! [X0: $i] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_53,plain,
    ! [X0: $i] :
      ( cC10(X0)
      | ~ cC8(X0)
      | ~ cC4(X0) ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( cC14(X0)
      | ~ cTOP(X1)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i] :
      ( cC2(X1)
      | cC20(X0)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i] :
      ( cC34(X0)
      | cC32(X1)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_70,plain,
    ! [X0: $i,X1: $i] :
      ( cC2(X1)
      | cC4(X0)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_73,plain,
    ! [X0: $i,X1: $i] :
      ( cC48(X0)
      | cC2(X1)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_79,plain,
    ! [X0: $i,X1: $i] :
      ( cC58(X0)
      | ~ cC2(X1)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_85,plain,
    ! [X0: $i] :
      ( cC60(X0)
      | cC2(X0)
      | ~ cC58(X0) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_86,plain,
    ! [X0: $i] :
      ( cC58(X0)
      | ~ cC60(X0) ),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_88,plain,
    ! [X0: $i,X1: $i] :
      ( cC62(X0)
      | ~ cC60(X1)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_99,plain,
    ! [X0: $i,X1: $i] :
      ( cC6(X1)
      | cC8(X0)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f235]) ).

tcf(c_100,plain,
    ! [X0: $i] :
      ( cC80(X0)
      | cC78(X0)
      | cC2(X0) ),
    inference(cnf_transformation,[],[f238]) ).

tcf(c_103,plain,
    ! [X0: $i,X1: $i] :
      ( cC82(X0)
      | ~ cC80(X1)
      | ~ rR1(X0,X1) ),
    inference(cnf_transformation,[],[f241]) ).

tcf(c_115,plain,
    cowlThing(iV8467),
    inference(cnf_transformation,[],[f251]) ).

tcf(c_118,plain,
    rR1(iV8467,iV8471),
    inference(cnf_transformation,[],[f254]) ).

tcf(c_121,plain,
    rR1(iV8467,iV8469),
    inference(cnf_transformation,[],[f257]) ).

tcf(c_123,plain,
    rR1(iV8467,iV8472),
    inference(cnf_transformation,[],[f259]) ).

tcf(c_124,plain,
    rR1(iV8467,iV8474),
    inference(cnf_transformation,[],[f260]) ).

tcf(c_125,plain,
    rR1(iV8467,iV8470),
    inference(cnf_transformation,[],[f261]) ).

tcf(c_128,plain,
    ~ cC6(iV8469),
    inference(cnf_transformation,[],[f264]) ).

tcf(c_131,plain,
    cTOP(iV8470),
    inference(cnf_transformation,[],[f267]) ).

tcf(c_133,plain,
    ~ cC2(iV8471),
    inference(cnf_transformation,[],[f269]) ).

tcf(c_134,plain,
    ~ cC78(iV8471),
    inference(cnf_transformation,[],[f270]) ).

tcf(c_135,plain,
    cowlThing(iV8471),
    inference(cnf_transformation,[],[f271]) ).

tcf(c_137,plain,
    ~ cC2(iV8472),
    inference(cnf_transformation,[],[f273]) ).

tcf(c_138,plain,
    cowlThing(iV8472),
    inference(cnf_transformation,[],[f274]) ).

tcf(c_139,plain,
    rR1(iV8472,iV8476),
    inference(cnf_transformation,[],[f275]) ).

tcf(c_143,plain,
    ~ cC32(iV8474),
    inference(cnf_transformation,[],[f279]) ).

tcf(c_147,plain,
    cC2(iV8476),
    inference(cnf_transformation,[],[f283]) ).

tcf(c_149,negated_conjecture,
    ( xsd_integer(sK13)
    | cowlNothing(sK12)
    | ~ 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(sK13)
    | ~ cowlThing(sK12)
    | ~ cowlThing(iV8472)
    | ~ cowlThing(iV8471)
    | ~ cowlThing(iV8467) ),
    inference(cnf_transformation,[],[f286]) ).

tcf(c_150,negated_conjecture,
    ( xsd_string(sK13)
    | cowlNothing(sK12)
    | ~ 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(sK13)
    | ~ cowlThing(sK12)
    | ~ cowlThing(iV8472)
    | ~ cowlThing(iV8471)
    | ~ cowlThing(iV8467) ),
    inference(cnf_transformation,[],[f285]) ).

tcf(c_203,plain,
    ( cC10(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_216,plain,
    ( xsd_string(sK13)
    | cowlNothing(sK12)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cowlThing(sK12)
    | ~ xsd_integer(sK13) ),
    inference(global_subsumption_just,[status(thm)],[c_150,c_138,c_135,c_115,c_203,c_150]) ).

tcf(c_217,negated_conjecture,
    ( xsd_string(sK13)
    | cowlNothing(sK12)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ xsd_integer(sK13)
    | ~ cowlThing(sK12) ),
    inference(renaming,[status(thm)],[c_216]) ).

tcf(c_218,plain,
    ( xsd_integer(sK13)
    | cowlNothing(sK12)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cowlThing(sK12)
    | ~ xsd_string(sK13) ),
    inference(global_subsumption_just,[status(thm)],[c_149,c_138,c_135,c_115,c_203,c_149]) ).

tcf(c_219,negated_conjecture,
    ( xsd_integer(sK13)
    | cowlNothing(sK12)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ xsd_string(sK13)
    | ~ cowlThing(sK12) ),
    inference(renaming,[status(thm)],[c_218]) ).

tcf(c_220,plain,
    ! [X0: $i] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(prop_impl_just,[status(thm)],[c_52]) ).

tcf(c_221,plain,
    ! [X0: $i] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(renaming,[status(thm)],[c_220]) ).

tcf(c_222,plain,
    ! [X0: $i] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(prop_impl_just,[status(thm)],[c_51]) ).

tcf(c_223,plain,
    ! [X0: $i] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(renaming,[status(thm)],[c_222]) ).

tcf(c_258,plain,
    ! [X0: $i] :
      ( ~ cC60(X0)
      | cC58(X0) ),
    inference(prop_impl_just,[status(thm)],[c_86]) ).

tcf(c_259,plain,
    ! [X0: $i] :
      ( cC58(X0)
      | ~ cC60(X0) ),
    inference(renaming,[status(thm)],[c_258]) ).

tcf(c_507,plain,
    ( xsd_integer(sK13)
    | cowlNothing(sK12)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ xsd_string(sK13) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_219,c_49]) ).

tcf(c_508,plain,
    ( xsd_string(sK13)
    | cowlNothing(sK12)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ xsd_integer(sK13) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_217,c_49]) ).

tcf(c_515,plain,
    ( xsd_string(sK13)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ xsd_integer(sK13) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_508,c_50]) ).

tcf(c_516,plain,
    ( xsd_integer(sK13)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ xsd_string(sK13) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_507,c_50]) ).

tcf(c_564,plain,
    ( xsd_integer(sK13)
    | ~ 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_516,c_223]) ).

tcf(c_566,plain,
    ( xsd_string(sK13)
    | ~ 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_515,c_223]) ).

tcf(c_571,plain,
    ( xsd_integer(sK13)
    | ~ 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_564,c_259]) ).

tcf(c_572,plain,
    ( xsd_string(sK13)
    | ~ 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_566,c_259]) ).

tcf(c_927,plain,
    ! [X0: $i] :
      ( cC14(X0)
      | ~ rR1(X0,iV8470) ),
    inference(resolution,[status(thm)],[c_54,c_131]) ).

tcf(c_928,plain,
    ( cC14(iV8467)
    | ~ rR1(iV8467,iV8470) ),
    inference(instantiation,[status(thm)],[c_927]) ).

tcf(c_1272,plain,
    ( ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ xsd_integer(sK13) ),
    inference(resolution,[status(thm)],[c_221,c_572]) ).

tcf(c_1273,plain,
    ( ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC4(iV8467)
    | ~ cC8(iV8467) ),
    inference(global_subsumption_just,[status(thm)],[c_1272,c_125,c_571,c_928,c_1272]) ).

tcf(c_1274,plain,
    ( ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467) ),
    inference(renaming,[status(thm)],[c_1273]) ).

tcf(c_1311,plain,
    ! [X0: $i] :
      ( cC2(X0)
      | ~ cC82(iV8467)
      | ~ cC80(iV8471)
      | ~ cC62(iV8467)
      | ~ cC60(iV8472)
      | ~ cC48(iV8467)
      | ~ cC34(iV8467)
      | ~ cC20(iV8467)
      | ~ cC8(iV8467)
      | ~ rR1(iV8467,X0) ),
    inference(resolution,[status(thm)],[c_70,c_1274]) ).

tcf(c_1333,plain,
    ! [X0: $i] :
      ( cC2(X0)
      | ~ cC82(iV8467)
      | ~ cC80(iV8471)
      | ~ cC62(iV8467)
      | ~ cC60(iV8472)
      | ~ cC34(iV8467)
      | ~ cC8(iV8467)
      | ~ rR1(iV8467,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1311,c_73,c_55]) ).

tcf(c_1351,plain,
    ! [X0: $i,X1: $i] :
      ( cC6(X0)
      | cC2(X1)
      | ~ cC82(iV8467)
      | ~ cC80(iV8471)
      | ~ cC62(iV8467)
      | ~ cC60(iV8472)
      | ~ cC34(iV8467)
      | ~ rR1(iV8467,X1)
      | ~ rR1(iV8467,X0) ),
    inference(resolution,[status(thm)],[c_99,c_1333]) ).

tcf(c_1646,plain,
    ! [X0: $i] :
      ( cC34(X0)
      | ~ rR1(X0,iV8474) ),
    inference(resolution,[status(thm)],[c_64,c_143]) ).

tcf(c_1647,plain,
    ( cC34(iV8467)
    | ~ rR1(iV8467,iV8474) ),
    inference(instantiation,[status(thm)],[c_1646]) ).

tcf(c_1730,plain,
    ( cC80(iV8471)
    | cC2(iV8471) ),
    inference(resolution,[status(thm)],[c_100,c_134]) ).

tcf(c_1731,plain,
    cC80(iV8471),
    inference(global_subsumption_just,[status(thm)],[c_1730,c_133,c_1730]) ).

tcf(c_1753,plain,
    ! [X0: $i,X1: $i] :
      ( cC6(X0)
      | cC2(X1)
      | ~ cC82(iV8467)
      | ~ cC62(iV8467)
      | ~ cC60(iV8472)
      | ~ cC34(iV8467)
      | ~ rR1(iV8467,X1)
      | ~ rR1(iV8467,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1351,c_1731]) ).

tcf(c_1880,plain,
    ! [X0: $i] :
      ( cC2(X0)
      | ~ cC82(iV8467)
      | ~ cC62(iV8467)
      | ~ cC60(iV8472)
      | ~ cC34(iV8467)
      | ~ rR1(iV8467,iV8469)
      | ~ rR1(iV8467,X0) ),
    inference(resolution,[status(thm)],[c_1753,c_128]) ).

tcf(c_1882,plain,
    ! [X0: $i] :
      ( cC2(X0)
      | ~ cC82(iV8467)
      | ~ cC62(iV8467)
      | ~ cC60(iV8472)
      | ~ rR1(iV8467,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_1880,c_124,c_121,c_1647,c_1880]) ).

tcf(c_3233,plain,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | cC2(X0)
      | ~ rR1(iV8467,X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_1882]) ).

tcf(c_3234,plain,
    ( iPr_def_10
    | ~ cC82(iV8467)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472) ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1882]) ).

tcf(c_3235,plain,
    ( iPr_def_10
    | ~ cC82(iV8467)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472) ),
    inference(demodulation,[status(thm)],[c_3234]) ).

tcf(c_3236,plain,
    ! [X0: $i] :
      ( cC2(X0)
      | ~ iPr_def_10
      | ~ rR1(iV8467,X0) ),
    inference(demodulation,[status(thm)],[c_3233]) ).

tcf(c_3250,plain,
    ( cC60(iV8472)
    | cC2(iV8472)
    | ~ cC58(iV8472) ),
    inference(instantiation,[status(thm)],[c_85]) ).

tcf(c_3297,plain,
    ( cC58(iV8472)
    | ~ cC2(iV8476)
    | ~ rR1(iV8472,iV8476) ),
    inference(instantiation,[status(thm)],[c_79]) ).

tcf(c_3362,plain,
    ! [X0: $i] :
      ( cC62(X0)
      | ~ cC60(iV8472)
      | ~ rR1(X0,iV8472) ),
    inference(instantiation,[status(thm)],[c_88]) ).

tcf(c_3363,plain,
    ( cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ rR1(iV8467,iV8472) ),
    inference(instantiation,[status(thm)],[c_3362]) ).

tcf(c_3366,plain,
    ! [X0: $i] :
      ( cC82(X0)
      | ~ cC80(iV8471)
      | ~ rR1(X0,iV8471) ),
    inference(instantiation,[status(thm)],[c_103]) ).

tcf(c_3367,plain,
    ( cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ rR1(iV8467,iV8471) ),
    inference(instantiation,[status(thm)],[c_3366]) ).

tcf(c_3760,plain,
    ! [X0: $i] :
      ( cC2(X0)
      | ~ rR1(iV8467,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_3236,c_147,c_139,c_137,c_133,c_123,c_118,c_1730,c_3236,c_3235,c_3250,c_3297,c_3363,c_3367]) ).

tcf(c_3784,plain,
    cC2(iV8471),
    inference(superposition,[status(thm)],[c_118,c_3760]) ).

tcf(c_3785,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_3784,c_133]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS147+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.41  % Computer : n016.cluster.edu
% 0.16/0.41  % Model    : x86_64 x86_64
% 0.16/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41  % Memory   : 8046.5625MB
% 0.16/0.41  % OS       : Linux 6.8.0-71-generic
% 0.16/0.41  % CPULimit : 300
% 0.16/0.41  % WCLimit  : 300
% 0.16/0.41  % DateTime : Wed Sep 23 19:36:11 UTC 2026
% 0.16/0.42  % CPUTime  : 
% 0.16/0.42  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.45  Running first-order theorem proving
% 0.16/0.45  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
% 0.20/0.47  
% 0.20/0.47  % ======== iProver multi-core TPTP/SMT =========
% 0.20/0.47  
% 0.20/0.47  % Detected problem language: tptp
% 0.20/0.48  % Proving...
% 3.32/1.34  % SZS status Started for theBenchmark.p
% 3.32/1.34  % SZS status Theorem for theBenchmark.p
% 3.32/1.34  
% 3.32/1.34  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.32/1.34  
% 3.32/1.34  % ------  iProver source info
% 3.32/1.34  
% 3.32/1.34  % git: date: 2026-07-19 20:42:38 +0200
% 3.32/1.34  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.32/1.34  % git: non_committed_changes: false
% 3.32/1.34  
% 3.32/1.34  % ------ Parsing...
% 3.32/1.34  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.32/1.34  
% 3.32/1.34  % ------ 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_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.32/1.34  
% 3.32/1.34  % ------ Preprocessing... gs_s  sp: 1 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.32/1.34  % ------ Proving...
% 3.32/1.34  % ------ Problem Properties 
% 3.32/1.34  
% 3.32/1.34  % 
% 3.32/1.34  % clauses                               63
% 3.32/1.34  % conjectures                           0
% 3.32/1.34  % EPR                                   39
% 3.32/1.34  % Horn                                  51
% 3.32/1.34  % unary                                 19
% 3.32/1.34  % binary                                25
% 3.32/1.34  % lits                                  132
% 3.32/1.34  % lits eq                               0
% 3.32/1.34  % fd_pure                               0
% 3.32/1.34  % fd_pseudo                             0
% 3.32/1.34  % fd_cond                               0
% 3.32/1.34  % fd_pseudo_cond                        0
% 3.32/1.34  % AC symbols                            0
% 3.32/1.34  
% 3.32/1.34  % ------ Schedule dynamic 5 is on 
% 3.32/1.34  
% 3.32/1.34  % ------ no conjectures: strip conj schedule 
% 3.32/1.34  
% 3.32/1.34  % ------ no equalities: superposition off 
% 3.32/1.34  
% 3.32/1.34  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.32/1.34  
% 3.32/1.34  
% 3.32/1.34  % ------ 
% 3.32/1.34  % Current options:
% 3.32/1.34  % ------ 
% 3.32/1.34  
% 3.32/1.34  
% 3.32/1.34  % 
% 3.32/1.34  
% 3.32/1.34  % ------ Proving...
% 3.32/1.34  % 
% 3.32/1.34  
% 3.32/1.34  % SZS status Theorem for theBenchmark.p
% 3.32/1.34  
% 3.32/1.34  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.32/1.34  
% 3.32/1.34  
%------------------------------------------------------------------------------