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Prover9---2026-6A.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : KRS150+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n003.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 : Sun Sep 27 07:46:09 AM UTC 2026

% Result   : Theorem 8.11s 1.42s
% Output   : CNFRefutation 8.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   88 (  18 unt;   0 def)
%            Number of atoms       :  553 (   0 equ)
%            Maximal formula atoms :   26 (   6 avg)
%            Number of connectives :  860 ( 395   ~; 426   |;  31   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   16 (  15 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   31 (   2 sgn  11   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    file('theBenchmark.p',axiom_0) ).

fof(axiom_1,axiom,
    ! [X] :
      ( xsd_string(X)
    <=> ~ xsd_integer(X) ),
    file('theBenchmark.p',axiom_1) ).

fof(axiom_3,axiom,
    ! [X] :
      ( cC12(X)
    <=> ( ~ cC10(X)
        & ~ cC2(X) ) ),
    file('theBenchmark.p',axiom_3) ).

fof(axiom_5,axiom,
    ! [X] :
      ( cC16(X)
    <=> ( cC8(X)
        & cC14(X) ) ),
    file('theBenchmark.p',axiom_5) ).

fof(axiom_6,axiom,
    ! [X] :
      ( cC18(X)
    <=> ( cC16(X)
        & cTOP(X) ) ),
    file('theBenchmark.p',axiom_6) ).

fof(axiom_8,axiom,
    ! [X] :
      ( cC6(X)
    <=> ( ~ cC4(X)
        & ~ cC2(X) ) ),
    file('theBenchmark.p',axiom_8) ).

fof(axiom_10,axiom,
    ! [X] :
      ( cTEST(X)
    <=> ( cTOP(X)
        & cC18(X) ) ),
    file('theBenchmark.p',axiom_10) ).

fof(the_axiom,conjecture,
    ( cC12(iV16562)
    & cowlThing(iV16562)
    & cC6(iV16561)
    & cowlThing(iV16561)
    & cC8(iV16560)
    & cC14(iV16560)
    & cowlThing(iV16560)
    & cC16(iV16560)
    & cC18(iV16560)
    & ! [X] :
        ( xsd_string(X)
      <=> ~ xsd_integer(X) )
    & ! [X] :
        ( ~ cowlNothing(X)
        & cowlThing(X) ) ),
    file('theBenchmark.p',the_axiom) ).

fof(the_axiom_neg,negated_conjecture,
    ~ ( cC12(iV16562)
      & cowlThing(iV16562)
      & cC6(iV16561)
      & cowlThing(iV16561)
      & cC8(iV16560)
      & cC14(iV16560)
      & cowlThing(iV16560)
      & cC16(iV16560)
      & cC18(iV16560)
      & ! [X] :
          ( xsd_string(X)
        <=> ~ xsd_integer(X) )
      & ! [X] :
          ( ~ cowlNothing(X)
          & cowlThing(X) ) ),
    inference(assume_negation,[status(cth)],[the_axiom]) ).

fof(nnf_14,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | ? [X] :
        ( ( xsd_integer(X)
          | ~ xsd_string(X) )
        & ( ~ xsd_integer(X)
          | xsd_string(X) ) )
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) ) ),
    inference(fof_nnf,[status(thm)],[the_axiom_neg]) ).

fof(sk_the_axiom_neg_sk,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | ( ( xsd_integer(sK1)
        | ~ xsd_string(sK1) )
      & ( ~ xsd_integer(sK1)
        | xsd_string(sK1) ) )
    | cowlNothing(sK0)
    | ~ cowlThing(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X,sK1)],[nnf_14]) ).

fof(sk_the_axiom_neg,plain,
    ( ( ~ cC12(iV16562)
      | ~ cowlThing(iV16562)
      | ~ cC6(iV16561)
      | ~ cowlThing(iV16561)
      | ~ cC8(iV16560)
      | ~ cC14(iV16560)
      | ~ cowlThing(iV16560)
      | ~ cC16(iV16560)
      | ~ cC18(iV16560)
      | xsd_integer(sK1)
      | ~ xsd_string(sK1)
      | cowlNothing(sK0)
      | ~ cowlThing(sK0) )
    & ( ~ cC12(iV16562)
      | ~ cowlThing(iV16562)
      | ~ cC6(iV16561)
      | ~ cowlThing(iV16561)
      | ~ cC8(iV16560)
      | ~ cC14(iV16560)
      | ~ cowlThing(iV16560)
      | ~ cC16(iV16560)
      | ~ cC18(iV16560)
      | ~ xsd_integer(sK1)
      | xsd_string(sK1)
      | cowlNothing(sK0)
      | ~ cowlThing(sK0) ) ),
    inference(cnf_transformation,[status(thm)],[sk_the_axiom_neg_sk]) ).

cnf(c_15,negated_conjecture,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1)
    | cowlNothing(sK0)
    | ~ cowlThing(sK0) ),
    inference(split_conjunct,[status(thm)],[sk_the_axiom_neg]) ).

cnf(c_16,plain,
    ~ cowlNothing(A),
    inference(clausify,[status(thm)],[axiom_0]) ).

cnf(c_17,negated_conjecture,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | xsd_integer(sK1)
    | ~ xsd_string(sK1)
    | cowlNothing(sK0)
    | ~ cowlThing(sK0) ),
    inference(split_conjunct,[status(thm)],[sk_the_axiom_neg]) ).

cnf(c_18,negated_conjecture,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1)
    | ~ cowlThing(sK0) ),
    inference(resolve,[status(thm)],[c_15,c_16]) ).

cnf(c_19,negated_conjecture,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | xsd_integer(sK1)
    | ~ xsd_string(sK1)
    | ~ cowlThing(sK0) ),
    inference(resolve,[status(thm)],[c_17,c_16]) ).

cnf(c_20,plain,
    ( xsd_integer(A)
    | xsd_string(A) ),
    inference(clausify,[status(thm)],[axiom_1]) ).

cnf(c_21,plain,
    ( ~ xsd_integer(A)
    | ~ xsd_string(A) ),
    inference(clausify,[status(thm)],[axiom_1]) ).

cnf(c_26,plain,
    ( cC10(A)
    | cC2(A)
    | cC12(A) ),
    inference(clausify,[status(thm)],[axiom_3]) ).

fof(axiom_20,axiom,
    ~ cC10(iV16562),
    file('theBenchmark.p',axiom_20) ).

cnf(c_27,plain,
    ~ cC10(iV16562),
    inference(clausify,[status(thm)],[axiom_20]) ).

cnf(c_31,plain,
    ( cC2(iV16562)
    | cC12(iV16562) ),
    inference(resolve,[status(thm)],[c_27,c_26]) ).

cnf(c_35,negated_conjecture,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | xsd_integer(sK1)
    | ~ cowlThing(sK0)
    | xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_20,c_19]) ).

cnf(c_36,negated_conjecture,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sK1)
    | ~ cowlThing(sK0)
    | ~ xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_21,c_18]) ).

cnf(c_37,plain,
    ( ~ cC8(A)
    | ~ cC14(A)
    | cC16(A) ),
    inference(clausify,[status(thm)],[axiom_5]) ).

cnf(c_38,plain,
    ( cC8(A)
    | ~ cC16(A) ),
    inference(clausify,[status(thm)],[axiom_5]) ).

cnf(c_39,plain,
    ( cC14(A)
    | ~ cC16(A) ),
    inference(clausify,[status(thm)],[axiom_5]) ).

cnf(c_42,negated_conjecture,
    ( cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | xsd_integer(sK1)
    | ~ cowlThing(sK0)
    | xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_35,c_31]) ).

cnf(c_45,negated_conjecture,
    ( cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sK1)
    | ~ cowlThing(sK0)
    | ~ xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_36,c_31]) ).

cnf(c_46,plain,
    ( cC16(A)
    | ~ cC18(A) ),
    inference(clausify,[status(thm)],[axiom_6]) ).

cnf(c_47,plain,
    ( ~ cC16(A)
    | ~ cTOP(A)
    | cC18(A) ),
    inference(clausify,[status(thm)],[axiom_6]) ).

cnf(c_48,plain,
    ( cC14(A)
    | ~ cC18(A) ),
    inference(resolve,[status(thm)],[c_46,c_39]) ).

cnf(c_49,plain,
    ( ~ cC8(A)
    | ~ cC14(A)
    | ~ cTOP(A)
    | cC18(A) ),
    inference(resolve,[status(thm)],[c_47,c_37]) ).

cnf(c_50,plain,
    ( cC8(A)
    | ~ cC18(A) ),
    inference(resolve,[status(thm)],[c_46,c_38]) ).

cnf(c_51,negated_conjecture,
    ( cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sK1)
    | ~ cowlThing(sK0)
    | ~ xsd_integer(sK1)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560) ),
    inference(resolve,[status(thm)],[c_37,c_45]) ).

cnf(c_54,negated_conjecture,
    ( cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC18(iV16560)
    | xsd_integer(sK1)
    | ~ cowlThing(sK0)
    | xsd_integer(sK1)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560) ),
    inference(resolve,[status(thm)],[c_37,c_42]) ).

cnf(c_58,plain,
    ( cC18(A)
    | ~ cTEST(A) ),
    inference(clausify,[status(thm)],[axiom_10]) ).

cnf(c_64,plain,
    ( cC4(A)
    | cC2(A)
    | cC6(A) ),
    inference(clausify,[status(thm)],[axiom_8]) ).

fof(axiom_16,axiom,
    ~ cC4(iV16561),
    file('theBenchmark.p',axiom_16) ).

cnf(c_65,plain,
    ~ cC4(iV16561),
    inference(clausify,[status(thm)],[axiom_16]) ).

cnf(c_69,plain,
    ( cC2(iV16561)
    | cC6(iV16561) ),
    inference(resolve,[status(thm)],[c_65,c_64]) ).

cnf(c_73,negated_conjecture,
    ( ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ xsd_integer(sK1)
    | ~ cowlThing(sK0)
    | ~ xsd_integer(sK1)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560) ),
    inference(resolve,[status(thm)],[c_51,c_49]) ).

cnf(c_74,negated_conjecture,
    ( ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | xsd_integer(sK1)
    | ~ cowlThing(sK0)
    | xsd_integer(sK1)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560) ),
    inference(resolve,[status(thm)],[c_54,c_49]) ).

cnf(c_82,plain,
    ( cC8(A)
    | ~ cTEST(A) ),
    inference(resolve,[status(thm)],[c_58,c_50]) ).

cnf(c_83,plain,
    ( cC14(A)
    | ~ cTEST(A) ),
    inference(resolve,[status(thm)],[c_58,c_48]) ).

cnf(c_103,plain,
    ( cTOP(A)
    | ~ cTEST(A) ),
    inference(clausify,[status(thm)],[axiom_10]) ).

fof(axiom_12,axiom,
    cTEST(iV16560),
    file('theBenchmark.p',axiom_12) ).

cnf(c_104,plain,
    cTEST(iV16560),
    inference(clausify,[status(thm)],[axiom_12]) ).

cnf(c_125,plain,
    cC14(iV16560),
    inference(resolve,[status(thm)],[c_104,c_83]) ).

cnf(c_126,plain,
    cC8(iV16560),
    inference(resolve,[status(thm)],[c_104,c_82]) ).

cnf(c_127,plain,
    cTOP(iV16560),
    inference(resolve,[status(thm)],[c_104,c_103]) ).

fof(axiom_21,axiom,
    ~ cC2(iV16562),
    file('theBenchmark.p',axiom_21) ).

cnf(c_154,plain,
    ~ cC2(iV16562),
    inference(clausify,[status(thm)],[axiom_21]) ).

fof(axiom_19,axiom,
    ~ cC2(iV16561),
    file('theBenchmark.p',axiom_19) ).

cnf(c_155,plain,
    ~ cC2(iV16561),
    inference(clausify,[status(thm)],[axiom_19]) ).

cnf(c_163,plain,
    cowlThing(A),
    inference(clausify,[status(thm)],[axiom_0]) ).

cnf(c_182,negated_conjecture,
    ( cC2(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ xsd_integer(sK1)
    | ~ cowlThing(sK0)
    | ~ xsd_integer(sK1)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560) ),
    inference(resolve,[status(thm)],[c_73,c_69]) ).

cnf(c_190,negated_conjecture,
    ( cC2(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cowlThing(sK0)
    | ~ xsd_integer(sK1)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560) ),
    inference(copy,[status(thm)],[c_182]) ).

cnf(c_191,negated_conjecture,
    ( cC2(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cowlThing(sK0)
    | ~ xsd_integer(sK1)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560) ),
    inference(copy,[status(thm)],[c_190]) ).

cnf(c_192,negated_conjecture,
    ( cC2(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cowlThing(sK0)
    | ~ xsd_integer(sK1)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560) ),
    inference(copy,[status(thm)],[c_191]) ).

cnf(c_193,negated_conjecture,
    ( cC2(iV16561)
    | ~ cC8(iV16560)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cowlThing(sK0)
    | ~ xsd_integer(sK1)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560) ),
    inference(copy,[status(thm)],[c_192]) ).

cnf(c_194,negated_conjecture,
    ( cC2(iV16561)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cowlThing(sK0)
    | ~ xsd_integer(sK1)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560) ),
    inference(copy,[status(thm)],[c_193]) ).

cnf(c_195,negated_conjecture,
    ( cC2(iV16561)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cowlThing(sK0)
    | ~ xsd_integer(sK1)
    | ~ cC8(iV16560) ),
    inference(resolve,[status(thm)],[c_125,c_194]) ).

cnf(c_196,negated_conjecture,
    ( cC2(iV16561)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cowlThing(sK0)
    | ~ xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_126,c_195]) ).

cnf(c_197,negated_conjecture,
    ( cC2(iV16561)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cowlThing(iV16560)
    | ~ xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_163,c_196]) ).

cnf(c_198,negated_conjecture,
    ( cC2(iV16561)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_163,c_197]) ).

cnf(c_199,negated_conjecture,
    ( cC2(iV16561)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_163,c_198]) ).

cnf(c_200,negated_conjecture,
    ( cC2(iV16561)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_163,c_199]) ).

cnf(c_201,negated_conjecture,
    ( cC2(iV16561)
    | ~ cTOP(iV16560)
    | ~ xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_154,c_200]) ).

cnf(c_202,negated_conjecture,
    ( cC2(iV16561)
    | ~ xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_127,c_201]) ).

cnf(c_183,negated_conjecture,
    ~ xsd_integer(sK1),
    inference(resolve,[status(thm)],[c_155,c_202]) ).

cnf(c_188,negated_conjecture,
    ( cC2(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | xsd_integer(sK1)
    | ~ cowlThing(sK0)
    | xsd_integer(sK1)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560) ),
    inference(resolve,[status(thm)],[c_74,c_69]) ).

cnf(c_203,negated_conjecture,
    ( cC2(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cowlThing(sK0)
    | xsd_integer(sK1)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560) ),
    inference(copy,[status(thm)],[c_188]) ).

cnf(c_204,negated_conjecture,
    ( cC2(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cowlThing(sK0)
    | xsd_integer(sK1)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560) ),
    inference(copy,[status(thm)],[c_203]) ).

cnf(c_205,negated_conjecture,
    ( cC2(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cowlThing(sK0)
    | xsd_integer(sK1)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560) ),
    inference(copy,[status(thm)],[c_204]) ).

cnf(c_206,negated_conjecture,
    ( cC2(iV16561)
    | ~ cC8(iV16560)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cowlThing(sK0)
    | xsd_integer(sK1)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560) ),
    inference(copy,[status(thm)],[c_205]) ).

cnf(c_207,negated_conjecture,
    ( cC2(iV16561)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cowlThing(sK0)
    | xsd_integer(sK1)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560) ),
    inference(copy,[status(thm)],[c_206]) ).

cnf(c_208,negated_conjecture,
    ( cC2(iV16561)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cowlThing(sK0)
    | xsd_integer(sK1)
    | ~ cC8(iV16560) ),
    inference(resolve,[status(thm)],[c_125,c_207]) ).

cnf(c_209,negated_conjecture,
    ( cC2(iV16561)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cowlThing(sK0)
    | xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_126,c_208]) ).

cnf(c_210,negated_conjecture,
    ( cC2(iV16561)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cowlThing(sK0) ),
    inference(resolve,[status(thm)],[c_183,c_209]) ).

cnf(c_211,negated_conjecture,
    ( cC2(iV16561)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cowlThing(iV16560) ),
    inference(resolve,[status(thm)],[c_163,c_210]) ).

cnf(c_212,negated_conjecture,
    ( cC2(iV16561)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561) ),
    inference(resolve,[status(thm)],[c_163,c_211]) ).

cnf(c_213,negated_conjecture,
    ( cC2(iV16561)
    | ~ cTOP(iV16560)
    | cC2(iV16562)
    | ~ cowlThing(iV16562) ),
    inference(resolve,[status(thm)],[c_163,c_212]) ).

cnf(c_214,negated_conjecture,
    ( cC2(iV16561)
    | ~ cTOP(iV16560)
    | cC2(iV16562) ),
    inference(resolve,[status(thm)],[c_163,c_213]) ).

cnf(c_215,negated_conjecture,
    ( cC2(iV16561)
    | ~ cTOP(iV16560) ),
    inference(resolve,[status(thm)],[c_154,c_214]) ).

cnf(c_216,negated_conjecture,
    cC2(iV16561),
    inference(resolve,[status(thm)],[c_127,c_215]) ).

cnf(c_189,negated_conjecture,
    $false,
    inference(resolve,[status(thm)],[c_155,c_216]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KRS150+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n003.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Fri Sep 25 19:43:08 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36  % Process 919529 was started by sandbox2 on n003,
% 0.10/0.36  % Fri Sep 25 19:43:08 2026
% 0.10/0.36  % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.37  
% 0.10/0.37  % From the command line: assign(max_seconds, 300).
% 8.11/1.42  
% 8.11/1.42  % SZS status Theorem for theBenchmark
% 8.11/1.42  
% 8.11/1.42  % Proof 1 at 1.05 (+ 0.00) seconds.
% 8.11/1.42  % Length of proof is 52.
% 8.11/1.42  % Level of proof is 9.
% 8.11/1.42  % Maximum clause weight is 2.000.
% 8.11/1.42  % Given clauses 0.
% 8.11/1.42  
% 8.11/1.42  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------