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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : KRS154+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n008.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 0.08s 0.47s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   96 (  38 unt;   0 def)
%            Number of atoms       :  382 (   0 equ)
%            Maximal formula atoms :   26 (   3 avg)
%            Number of connectives :  527 ( 241   ~; 241   |;  34   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   25 (  24 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   28 (   2 sgn  14   !;   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_15,axiom,
    ! [X] :
      ( cC110(X)
    <=> ( cC108xcomp(X)
        & cC102xcomp(X) ) ),
    file('theBenchmark.p',axiom_15) ).

fof(axiom_21,axiom,
    ! [X] :
      ( cC114(X)
    <=> ( cC96xcomp(X)
        & cC112xcomp(X) ) ),
    file('theBenchmark.p',axiom_21) ).

fof(axiom_22,axiom,
    ! [X] :
      ( cC116(X)
    <=> ( cC80(X)
        & cC114(X) ) ),
    file('theBenchmark.p',axiom_22) ).

fof(axiom_42,axiom,
    ! [X] :
      ( cC136(X)
    <=> ( cC116(X)
        & cC134xcomp(X) ) ),
    file('theBenchmark.p',axiom_42) ).

fof(axiom_93,axiom,
    ! [X] :
      ( cC56(X)
    <=> ( cC10xcomp(X)
        & cC4(X) ) ),
    file('theBenchmark.p',axiom_93) ).

fof(axiom_94,axiom,
    ! [X] :
      ( cC58(X)
    <=> ( cC56(X)
        & cC34(X) ) ),
    file('theBenchmark.p',axiom_94) ).

fof(axiom_117,axiom,
    ! [X] :
      ( cC80(X)
    <=> ( cC76xcomp(X)
        & cC78xcomp(X) ) ),
    file('theBenchmark.p',axiom_117) ).

fof(axiom_136,axiom,
    ! [X] :
      ( cC94(X)
    <=> ( cC92xcomp(X)
        & cC86xcomp(X) ) ),
    file('theBenchmark.p',axiom_136) ).

fof(the_axiom,conjecture,
    ( cC56(iV822576)
    & cC136(iV822576)
    & cC110(iV822576)
    & cC80(iV822576)
    & cC94(iV822576)
    & cowlThing(iV822576)
    & cC114(iV822576)
    & cC116(iV822576)
    & cC58(iV822576)
    & ! [X] :
        ( xsd_string(X)
      <=> ~ xsd_integer(X) )
    & ! [X] :
        ( ~ cowlNothing(X)
        & cowlThing(X) ) ),
    file('theBenchmark.p',the_axiom) ).

fof(the_axiom_neg,negated_conjecture,
    ~ ( cC56(iV822576)
      & cC136(iV822576)
      & cC110(iV822576)
      & cC80(iV822576)
      & cC94(iV822576)
      & cowlThing(iV822576)
      & cC114(iV822576)
      & cC116(iV822576)
      & cC58(iV822576)
      & ! [X] :
          ( xsd_string(X)
        <=> ~ xsd_integer(X) )
      & ! [X] :
          ( ~ cowlNothing(X)
          & cowlThing(X) ) ),
    inference(assume_negation,[status(cth)],[the_axiom]) ).

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

cnf(c_164,plain,
    ~ cowlNothing(A),
    inference(clausify,[status(thm)],[axiom_0]) ).

cnf(c_165,plain,
    ( ~ xsd_integer(A)
    | ~ xsd_string(A) ),
    inference(clausify,[status(thm)],[axiom_1]) ).

cnf(c_166,plain,
    ( xsd_integer(A)
    | xsd_string(A) ),
    inference(clausify,[status(thm)],[axiom_1]) ).

cnf(c_200,plain,
    ( ~ cC108xcomp(A)
    | ~ cC102xcomp(A)
    | cC110(A) ),
    inference(clausify,[status(thm)],[axiom_15]) ).

cnf(c_214,plain,
    ( ~ cC96xcomp(A)
    | ~ cC112xcomp(A)
    | cC114(A) ),
    inference(clausify,[status(thm)],[axiom_21]) ).

cnf(c_217,plain,
    ( ~ cC80(A)
    | ~ cC114(A)
    | cC116(A) ),
    inference(clausify,[status(thm)],[axiom_22]) ).

cnf(c_268,plain,
    ( ~ cC116(A)
    | ~ cC134xcomp(A)
    | cC136(A) ),
    inference(clausify,[status(thm)],[axiom_42]) ).

cnf(c_380,plain,
    ( ~ cC10xcomp(A)
    | ~ cC4(A)
    | cC56(A) ),
    inference(clausify,[status(thm)],[axiom_93]) ).

cnf(c_383,plain,
    ( ~ cC56(A)
    | ~ cC34(A)
    | cC58(A) ),
    inference(clausify,[status(thm)],[axiom_94]) ).

cnf(c_442,plain,
    ( ~ cC76xcomp(A)
    | ~ cC78xcomp(A)
    | cC80(A) ),
    inference(clausify,[status(thm)],[axiom_117]) ).

cnf(c_487,plain,
    ( ~ cC92xcomp(A)
    | ~ cC86xcomp(A)
    | cC94(A) ),
    inference(clausify,[status(thm)],[axiom_136]) ).

fof(axiom_147,axiom,
    cC102xcomp(iV822576),
    file('theBenchmark.p',axiom_147) ).

cnf(c_510,plain,
    cC102xcomp(iV822576),
    inference(clausify,[status(thm)],[axiom_147]) ).

fof(axiom_148,axiom,
    cC108xcomp(iV822576),
    file('theBenchmark.p',axiom_148) ).

cnf(c_511,plain,
    cC108xcomp(iV822576),
    inference(clausify,[status(thm)],[axiom_148]) ).

fof(axiom_149,axiom,
    cC4(iV822576),
    file('theBenchmark.p',axiom_149) ).

cnf(c_512,plain,
    cC4(iV822576),
    inference(clausify,[status(thm)],[axiom_149]) ).

fof(axiom_151,axiom,
    cC112xcomp(iV822576),
    file('theBenchmark.p',axiom_151) ).

cnf(c_514,plain,
    cC112xcomp(iV822576),
    inference(clausify,[status(thm)],[axiom_151]) ).

fof(axiom_152,axiom,
    cC76xcomp(iV822576),
    file('theBenchmark.p',axiom_152) ).

cnf(c_515,plain,
    cC76xcomp(iV822576),
    inference(clausify,[status(thm)],[axiom_152]) ).

fof(axiom_153,axiom,
    cC96xcomp(iV822576),
    file('theBenchmark.p',axiom_153) ).

cnf(c_516,plain,
    cC96xcomp(iV822576),
    inference(clausify,[status(thm)],[axiom_153]) ).

fof(axiom_158,axiom,
    cC78xcomp(iV822576),
    file('theBenchmark.p',axiom_158) ).

cnf(c_521,plain,
    cC78xcomp(iV822576),
    inference(clausify,[status(thm)],[axiom_158]) ).

fof(axiom_160,axiom,
    cC134xcomp(iV822576),
    file('theBenchmark.p',axiom_160) ).

cnf(c_523,plain,
    cC134xcomp(iV822576),
    inference(clausify,[status(thm)],[axiom_160]) ).

fof(axiom_161,axiom,
    cC86xcomp(iV822576),
    file('theBenchmark.p',axiom_161) ).

cnf(c_524,plain,
    cC86xcomp(iV822576),
    inference(clausify,[status(thm)],[axiom_161]) ).

fof(axiom_162,axiom,
    cC34(iV822576),
    file('theBenchmark.p',axiom_162) ).

cnf(c_525,plain,
    cC34(iV822576),
    inference(clausify,[status(thm)],[axiom_162]) ).

fof(axiom_167,axiom,
    cC10xcomp(iV822576),
    file('theBenchmark.p',axiom_167) ).

cnf(c_529,plain,
    cC10xcomp(iV822576),
    inference(clausify,[status(thm)],[axiom_167]) ).

fof(axiom_168,axiom,
    cC92xcomp(iV822576),
    file('theBenchmark.p',axiom_168) ).

cnf(c_530,plain,
    cC92xcomp(iV822576),
    inference(clausify,[status(thm)],[axiom_168]) ).

fof(nnf_150,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ? [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,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ( ( 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_150]) ).

fof(sk_the_axiom_neg,plain,
    ( ( ~ cC56(iV822576)
      | ~ cC136(iV822576)
      | ~ cC110(iV822576)
      | ~ cC80(iV822576)
      | ~ cC94(iV822576)
      | ~ cowlThing(iV822576)
      | ~ cC114(iV822576)
      | ~ cC116(iV822576)
      | ~ cC58(iV822576)
      | xsd_integer(sK1)
      | ~ xsd_string(sK1)
      | cowlNothing(sK0)
      | ~ cowlThing(sK0) )
    & ( ~ cC56(iV822576)
      | ~ cC136(iV822576)
      | ~ cC110(iV822576)
      | ~ cC80(iV822576)
      | ~ cC94(iV822576)
      | ~ cowlThing(iV822576)
      | ~ cC114(iV822576)
      | ~ cC116(iV822576)
      | ~ cC58(iV822576)
      | ~ xsd_integer(sK1)
      | xsd_string(sK1)
      | cowlNothing(sK0)
      | ~ cowlThing(sK0) ) ),
    inference(cnf_transformation,[status(thm)],[sk_the_axiom_neg_sk]) ).

cnf(c_531,negated_conjecture,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1)
    | cowlNothing(sK0)
    | ~ cowlThing(sK0) ),
    inference(split_conjunct,[status(thm)],[sk_the_axiom_neg]) ).

cnf(c_568,negated_conjecture,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1)
    | cowlNothing(sK0) ),
    inference(resolve,[status(thm)],[c_163,c_531]) ).

cnf(c_569,negated_conjecture,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1) ),
    inference(resolve,[status(thm)],[c_164,c_568]) ).

cnf(c_532,negated_conjecture,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1) ),
    inference(resolve,[status(thm)],[c_163,c_569]) ).

cnf(c_533,negated_conjecture,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | xsd_integer(sK1)
    | ~ xsd_string(sK1)
    | cowlNothing(sK0)
    | ~ cowlThing(sK0) ),
    inference(split_conjunct,[status(thm)],[sk_the_axiom_neg]) ).

cnf(c_570,negated_conjecture,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | xsd_integer(sK1)
    | ~ xsd_string(sK1)
    | cowlNothing(sK0) ),
    inference(resolve,[status(thm)],[c_163,c_533]) ).

cnf(c_571,negated_conjecture,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | xsd_integer(sK1)
    | ~ xsd_string(sK1) ),
    inference(resolve,[status(thm)],[c_164,c_570]) ).

cnf(c_534,negated_conjecture,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | xsd_integer(sK1)
    | ~ xsd_string(sK1) ),
    inference(resolve,[status(thm)],[c_163,c_571]) ).

cnf(c_572,negated_conjecture,
    ( xsd_integer(sK1)
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_534,c_166]) ).

cnf(c_536,negated_conjecture,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | xsd_integer(sK1) ),
    inference(copy,[status(thm)],[c_572]) ).

cnf(c_573,plain,
    ( ~ cC102xcomp(iV822576)
    | cC110(iV822576) ),
    inference(resolve,[status(thm)],[c_511,c_200]) ).

cnf(c_537,plain,
    cC110(iV822576),
    inference(resolve,[status(thm)],[c_510,c_573]) ).

cnf(c_538,negated_conjecture,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_537,c_536]) ).

cnf(c_539,negated_conjecture,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1) ),
    inference(resolve,[status(thm)],[c_537,c_532]) ).

cnf(c_574,plain,
    ( ~ cC78xcomp(iV822576)
    | cC80(iV822576) ),
    inference(resolve,[status(thm)],[c_515,c_442]) ).

cnf(c_540,plain,
    cC80(iV822576),
    inference(resolve,[status(thm)],[c_521,c_574]) ).

cnf(c_541,negated_conjecture,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1) ),
    inference(resolve,[status(thm)],[c_540,c_539]) ).

cnf(c_542,negated_conjecture,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_540,c_538]) ).

cnf(c_543,plain,
    ( ~ cC114(iV822576)
    | cC116(iV822576) ),
    inference(resolve,[status(thm)],[c_540,c_217]) ).

cnf(c_575,plain,
    ( ~ cC112xcomp(iV822576)
    | cC114(iV822576) ),
    inference(resolve,[status(thm)],[c_516,c_214]) ).

cnf(c_544,plain,
    cC114(iV822576),
    inference(resolve,[status(thm)],[c_514,c_575]) ).

cnf(c_545,plain,
    cC116(iV822576),
    inference(resolve,[status(thm)],[c_544,c_543]) ).

cnf(c_576,negated_conjecture,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC58(iV822576)
    | xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_545,c_542]) ).

cnf(c_546,negated_conjecture,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_544,c_576]) ).

cnf(c_577,negated_conjecture,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC58(iV822576)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1) ),
    inference(resolve,[status(thm)],[c_545,c_541]) ).

cnf(c_547,negated_conjecture,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1) ),
    inference(resolve,[status(thm)],[c_544,c_577]) ).

cnf(c_578,plain,
    ( ~ cC116(iV822576)
    | cC136(iV822576) ),
    inference(resolve,[status(thm)],[c_523,c_268]) ).

cnf(c_548,plain,
    cC136(iV822576),
    inference(resolve,[status(thm)],[c_545,c_578]) ).

cnf(c_549,negated_conjecture,
    ( ~ cC56(iV822576)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1) ),
    inference(resolve,[status(thm)],[c_548,c_547]) ).

cnf(c_550,negated_conjecture,
    ( ~ cC56(iV822576)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_548,c_546]) ).

cnf(c_579,plain,
    ( ~ cC4(iV822576)
    | cC56(iV822576) ),
    inference(resolve,[status(thm)],[c_529,c_380]) ).

cnf(c_555,plain,
    cC56(iV822576),
    inference(resolve,[status(thm)],[c_512,c_579]) ).

cnf(c_557,negated_conjecture,
    ( ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_555,c_550]) ).

cnf(c_558,negated_conjecture,
    ( ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1) ),
    inference(resolve,[status(thm)],[c_555,c_549]) ).

cnf(c_580,plain,
    ( ~ cC34(iV822576)
    | cC58(iV822576) ),
    inference(resolve,[status(thm)],[c_555,c_383]) ).

cnf(c_559,plain,
    cC58(iV822576),
    inference(resolve,[status(thm)],[c_525,c_580]) ).

cnf(c_560,negated_conjecture,
    ( ~ cC94(iV822576)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1) ),
    inference(resolve,[status(thm)],[c_559,c_558]) ).

cnf(c_561,negated_conjecture,
    ( ~ cC94(iV822576)
    | xsd_integer(sK1) ),
    inference(resolve,[status(thm)],[c_559,c_557]) ).

cnf(c_581,plain,
    ( ~ cC86xcomp(iV822576)
    | cC94(iV822576) ),
    inference(resolve,[status(thm)],[c_530,c_487]) ).

cnf(c_563,plain,
    cC94(iV822576),
    inference(resolve,[status(thm)],[c_524,c_581]) ).

cnf(c_564,negated_conjecture,
    xsd_integer(sK1),
    inference(resolve,[status(thm)],[c_563,c_561]) ).

cnf(c_582,negated_conjecture,
    ( ~ cC94(iV822576)
    | xsd_string(sK1) ),
    inference(resolve,[status(thm)],[c_564,c_560]) ).

cnf(c_565,negated_conjecture,
    xsd_string(sK1),
    inference(resolve,[status(thm)],[c_563,c_582]) ).

cnf(c_583,negated_conjecture,
    ~ xsd_integer(sK1),
    inference(resolve,[status(thm)],[c_565,c_165]) ).

cnf(c_567,negated_conjecture,
    $false,
    inference(resolve,[status(thm)],[c_564,c_583]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS154+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n008.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Fri Sep 25 19:42:27 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36  % Process 1707831 was started by sandbox on n008,
% 0.08/0.36  % Fri Sep 25 19:42:27 2026
% 0.08/0.36  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.40  
% 0.08/0.40  % From the command line: assign(max_seconds, 300).
% 0.08/0.40  
% 0.08/0.40  % SInE: 163 to sos, 6 to usable, of 169 axioms (tolerance 2.00, depth 0 fixpoint).
% 0.08/0.47  
% 0.08/0.47  % SZS status Theorem for theBenchmark
% 0.08/0.47  
% 0.08/0.47  % Proof 1 at 0.04 (+ 0.01) seconds.
% 0.08/0.47  % Length of proof is 64.
% 0.08/0.47  % Level of proof is 12.
% 0.08/0.47  % Maximum clause weight is 102.000.
% 0.08/0.47  % Given clauses 125.
% 0.08/0.47  
% 0.08/0.47  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------