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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : KRS158+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 : n007.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 07:46:10 AM UTC 2026

% Result   : Theorem 0.23s 0.50s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   74 (  18 unt;   0 def)
%            Number of atoms       :  421 (   0 equ)
%            Maximal formula atoms :   26 (   5 avg)
%            Number of connectives :  668 ( 321   ~; 308   |;  31   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 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   :   25 (   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_5,axiom,
    ! [X] :
      ( cC12(X)
    <=> ( cC2xcomp(X)
        & cC10xcomp(X) ) ),
    file('theBenchmark.p',axiom_5) ).

fof(axiom_7,axiom,
    ! [X] :
      ( cC16(X)
    <=> ( cC8(X)
        & cC14(X) ) ),
    file('theBenchmark.p',axiom_7) ).

fof(axiom_8,axiom,
    ! [X] :
      ( cC18(X)
    <=> ( cC16(X)
        & cTOP(X) ) ),
    file('theBenchmark.p',axiom_8) ).

fof(axiom_14,axiom,
    ! [X] :
      ( cC6(X)
    <=> ( cC2xcomp(X)
        & cC4xcomp(X) ) ),
    file('theBenchmark.p',axiom_14) ).

fof(axiom_16,axiom,
    ! [X] :
      ( cTEST(X)
    <=> ( cC18(X)
        & cTOP(X) ) ),
    file('theBenchmark.p',axiom_16) ).

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

fof(nnf_20,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(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,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(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_20]) ).

fof(sk_the_axiom_neg,plain,
    ( ( ~ cowlThing(iV16562)
      | ~ cC12(iV16562)
      | ~ cowlThing(iV16561)
      | ~ cC6(iV16561)
      | ~ cowlThing(iV16560)
      | ~ cC16(iV16560)
      | ~ cC8(iV16560)
      | ~ cC14(iV16560)
      | ~ cC18(iV16560)
      | xsd_integer(sK1)
      | ~ xsd_string(sK1)
      | cowlNothing(sK0)
      | ~ cowlThing(sK0) )
    & ( ~ cowlThing(iV16562)
      | ~ cC12(iV16562)
      | ~ cowlThing(iV16561)
      | ~ cC6(iV16561)
      | ~ cowlThing(iV16560)
      | ~ cC16(iV16560)
      | ~ cC8(iV16560)
      | ~ cC14(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_21,negated_conjecture,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1)
    | cowlNothing(sK0)
    | ~ cowlThing(sK0) ),
    inference(split_conjunct,[status(thm)],[sk_the_axiom_neg]) ).

cnf(c_22,plain,
    ~ cowlNothing(A),
    inference(clausify,[status(thm)],[axiom_0]) ).

cnf(c_23,negated_conjecture,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | xsd_integer(sK1)
    | ~ xsd_string(sK1)
    | cowlNothing(sK0)
    | ~ cowlThing(sK0) ),
    inference(split_conjunct,[status(thm)],[sk_the_axiom_neg]) ).

cnf(c_24,negated_conjecture,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1)
    | ~ cowlThing(sK0) ),
    inference(resolve,[status(thm)],[c_21,c_22]) ).

cnf(c_25,negated_conjecture,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | xsd_integer(sK1)
    | ~ xsd_string(sK1)
    | ~ cowlThing(sK0) ),
    inference(resolve,[status(thm)],[c_23,c_22]) ).

cnf(c_26,plain,
    ( xsd_integer(A)
    | xsd_string(A) ),
    inference(clausify,[status(thm)],[axiom_1]) ).

cnf(c_27,plain,
    ( ~ xsd_integer(A)
    | ~ xsd_string(A) ),
    inference(clausify,[status(thm)],[axiom_1]) ).

cnf(c_33,plain,
    ( ~ cC2xcomp(A)
    | ~ cC10xcomp(A)
    | cC12(A) ),
    inference(clausify,[status(thm)],[axiom_5]) ).

fof(axiom_28,axiom,
    cC10xcomp(iV16562),
    file('theBenchmark.p',axiom_28) ).

cnf(c_34,plain,
    cC10xcomp(iV16562),
    inference(clausify,[status(thm)],[axiom_28]) ).

cnf(c_40,plain,
    ( ~ cC2xcomp(iV16562)
    | cC12(iV16562) ),
    inference(resolve,[status(thm)],[c_33,c_34]) ).

cnf(c_41,negated_conjecture,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sK1)
    | ~ cowlThing(sK0)
    | ~ xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_27,c_24]) ).

cnf(c_42,negated_conjecture,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | xsd_integer(sK1)
    | ~ cowlThing(sK0)
    | xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_26,c_25]) ).

cnf(c_46,plain,
    ( cC16(A)
    | ~ cC18(A) ),
    inference(clausify,[status(thm)],[axiom_8]) ).

cnf(c_48,negated_conjecture,
    ( ~ cC2xcomp(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sK1)
    | ~ cowlThing(sK0)
    | ~ xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_41,c_40]) ).

cnf(c_49,negated_conjecture,
    ( ~ cC2xcomp(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | xsd_integer(sK1)
    | ~ cowlThing(sK0)
    | xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_42,c_40]) ).

cnf(c_51,plain,
    ( cC8(A)
    | ~ cC16(A) ),
    inference(clausify,[status(thm)],[axiom_7]) ).

cnf(c_52,plain,
    ( cC14(A)
    | ~ cC16(A) ),
    inference(clausify,[status(thm)],[axiom_7]) ).

cnf(c_54,plain,
    ( ~ cC18(A)
    | cC8(A) ),
    inference(resolve,[status(thm)],[c_51,c_46]) ).

cnf(c_55,negated_conjecture,
    ( ~ cC2xcomp(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | xsd_integer(sK1)
    | ~ cowlThing(sK0)
    | xsd_integer(sK1)
    | ~ cC18(iV16560) ),
    inference(resolve,[status(thm)],[c_46,c_49]) ).

cnf(c_56,negated_conjecture,
    ( ~ cC2xcomp(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sK1)
    | ~ cowlThing(sK0)
    | ~ xsd_integer(sK1)
    | ~ cC18(iV16560) ),
    inference(resolve,[status(thm)],[c_46,c_48]) ).

cnf(c_77,plain,
    ( ~ cC2xcomp(A)
    | ~ cC4xcomp(A)
    | cC6(A) ),
    inference(clausify,[status(thm)],[axiom_14]) ).

fof(axiom_24,axiom,
    cC4xcomp(iV16561),
    file('theBenchmark.p',axiom_24) ).

cnf(c_78,plain,
    cC4xcomp(iV16561),
    inference(clausify,[status(thm)],[axiom_24]) ).

cnf(c_79,plain,
    ( cC18(A)
    | ~ cTEST(A) ),
    inference(clausify,[status(thm)],[axiom_16]) ).

fof(axiom_18,axiom,
    cTEST(iV16560),
    file('theBenchmark.p',axiom_18) ).

cnf(c_80,plain,
    cTEST(iV16560),
    inference(clausify,[status(thm)],[axiom_18]) ).

cnf(c_84,plain,
    cC18(iV16560),
    inference(resolve,[status(thm)],[c_79,c_80]) ).

cnf(c_91,plain,
    ( ~ cC18(A)
    | cC14(A) ),
    inference(resolve,[status(thm)],[c_52,c_46]) ).

cnf(c_94,plain,
    cowlThing(A),
    inference(clausify,[status(thm)],[axiom_0]) ).

fof(axiom_25,axiom,
    cC2xcomp(iV16561),
    file('theBenchmark.p',axiom_25) ).

cnf(c_101,plain,
    cC2xcomp(iV16561),
    inference(clausify,[status(thm)],[axiom_25]) ).

fof(axiom_29,axiom,
    cC2xcomp(iV16562),
    file('theBenchmark.p',axiom_29) ).

cnf(c_102,plain,
    cC2xcomp(iV16562),
    inference(clausify,[status(thm)],[axiom_29]) ).

cnf(c_116,negated_conjecture,
    ( ~ cC18(iV16560)
    | ~ cC2xcomp(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | xsd_integer(sK1)
    | ~ cowlThing(sK0)
    | xsd_integer(sK1)
    | ~ cC18(iV16560) ),
    inference(resolve,[status(thm)],[c_55,c_54]) ).

cnf(c_138,negated_conjecture,
    ( ~ cC18(iV16560)
    | ~ cC2xcomp(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ~ cowlThing(sK0)
    | xsd_integer(sK1)
    | ~ cC18(iV16560) ),
    inference(copy,[status(thm)],[c_116]) ).

cnf(c_139,negated_conjecture,
    ( ~ cC18(iV16560)
    | ~ cC2xcomp(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(sK0)
    | xsd_integer(sK1)
    | ~ cC18(iV16560) ),
    inference(copy,[status(thm)],[c_138]) ).

cnf(c_140,negated_conjecture,
    ( ~ cC2xcomp(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(sK0)
    | xsd_integer(sK1)
    | ~ cC18(iV16560) ),
    inference(copy,[status(thm)],[c_139]) ).

cnf(c_141,negated_conjecture,
    ( ~ cC2xcomp(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(sK0)
    | xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_84,c_140]) ).

cnf(c_142,negated_conjecture,
    ( ~ cC2xcomp(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_94,c_141]) ).

cnf(c_143,negated_conjecture,
    ( ~ cC2xcomp(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cC14(iV16560)
    | xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_94,c_142]) ).

cnf(c_144,negated_conjecture,
    ( ~ cC2xcomp(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cC14(iV16560)
    | xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_94,c_143]) ).

cnf(c_145,negated_conjecture,
    ( ~ cC2xcomp(iV16562)
    | ~ cC6(iV16561)
    | ~ cC14(iV16560)
    | xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_94,c_144]) ).

cnf(c_117,negated_conjecture,
    ( ~ cC6(iV16561)
    | ~ cC14(iV16560)
    | xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_102,c_145]) ).

cnf(c_118,negated_conjecture,
    ( ~ cC18(iV16560)
    | ~ cC2xcomp(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sK1)
    | ~ cowlThing(sK0)
    | ~ xsd_integer(sK1)
    | ~ cC18(iV16560) ),
    inference(resolve,[status(thm)],[c_56,c_54]) ).

cnf(c_146,negated_conjecture,
    ( ~ cC18(iV16560)
    | ~ cC2xcomp(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ~ cowlThing(sK0)
    | ~ xsd_integer(sK1)
    | ~ cC18(iV16560) ),
    inference(copy,[status(thm)],[c_118]) ).

cnf(c_147,negated_conjecture,
    ( ~ cC18(iV16560)
    | ~ cC2xcomp(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(sK0)
    | ~ xsd_integer(sK1)
    | ~ cC18(iV16560) ),
    inference(copy,[status(thm)],[c_146]) ).

cnf(c_148,negated_conjecture,
    ( ~ cC2xcomp(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(sK0)
    | ~ xsd_integer(sK1)
    | ~ cC18(iV16560) ),
    inference(copy,[status(thm)],[c_147]) ).

cnf(c_149,negated_conjecture,
    ( ~ cC2xcomp(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(sK0)
    | ~ xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_84,c_148]) ).

cnf(c_150,negated_conjecture,
    ( ~ cC2xcomp(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_94,c_149]) ).

cnf(c_151,negated_conjecture,
    ( ~ cC2xcomp(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cC14(iV16560)
    | ~ xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_94,c_150]) ).

cnf(c_152,negated_conjecture,
    ( ~ cC2xcomp(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cC14(iV16560)
    | ~ xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_94,c_151]) ).

cnf(c_153,negated_conjecture,
    ( ~ cC2xcomp(iV16562)
    | ~ cC6(iV16561)
    | ~ cC14(iV16560)
    | ~ xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_94,c_152]) ).

cnf(c_119,negated_conjecture,
    ( ~ cC6(iV16561)
    | ~ cC14(iV16560)
    | ~ xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_102,c_153]) ).

cnf(c_130,plain,
    ( ~ cC2xcomp(iV16561)
    | cC6(iV16561) ),
    inference(resolve,[status(thm)],[c_78,c_77]) ).

cnf(c_131,plain,
    cC6(iV16561),
    inference(resolve,[status(thm)],[c_101,c_130]) ).

cnf(c_133,negated_conjecture,
    ( ~ cC14(iV16560)
    | ~ xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_131,c_119]) ).

cnf(c_134,negated_conjecture,
    ( ~ cC14(iV16560)
    | xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_131,c_117]) ).

cnf(c_135,plain,
    cC14(iV16560),
    inference(resolve,[status(thm)],[c_91,c_84]) ).

cnf(c_136,negated_conjecture,
    xsd_integer(sK1),
    inference(resolve,[status(thm)],[c_135,c_134]) ).

cnf(c_154,negated_conjecture,
    ~ cC14(iV16560),
    inference(resolve,[status(thm)],[c_136,c_133]) ).

cnf(c_137,negated_conjecture,
    $false,
    inference(resolve,[status(thm)],[c_135,c_154]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : KRS158+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  % Computer : n007.cluster.edu
% 0.18/0.45  % Model    : x86_64 x86_64
% 0.18/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45  % Memory   : 8046.5625MB
% 0.18/0.45  % OS       : Linux 6.8.0-71-generic
% 0.18/0.45  % CPULimit : 300
% 0.18/0.45  % WCLimit  : 300
% 0.18/0.45  % DateTime : Fri Sep 25 19:39:53 UTC 2026
% 0.18/0.46  % CPUTime  : 
% 0.23/0.46  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.23/0.46  % Process 1705256 was started by sandbox2 on n007,
% 0.23/0.46  % Fri Sep 25 19:39:53 2026
% 0.23/0.46  % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.23/0.47  
% 0.23/0.47  % From the command line: assign(max_seconds, 300).
% 0.23/0.50  
% 0.23/0.50  % SZS status Theorem for theBenchmark
% 0.23/0.50  
% 0.23/0.50  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.23/0.50  % Length of proof is 48.
% 0.23/0.50  % Level of proof is 10.
% 0.23/0.50  % Maximum clause weight is 11.000.
% 0.23/0.50  % Given clauses 8.
% 0.23/0.50  
% 0.23/0.50  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------