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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : KRS158+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n026.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 01:53:22 PM UTC 2026

% Result   : Theorem 3.34s 0.93s
% Output   : Proof 3.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   88 (  25 unt;   0 def)
%            Number of atoms       :  402 (   0 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  545 ( 231   ~; 250   |;  56   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 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   :   37 (   2 sgn  25   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,axiom,
    ! [X] :
      ( cC6(X)
    <=> ( cC2xcomp(X)
        & cC4xcomp(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f14_nnf,plain,
    ! [X] :
      ( ( ~ cC2xcomp(X)
        | ~ cC4xcomp(X)
        | cC6(X) )
      & ( ( cC2xcomp(X)
          & cC4xcomp(X) )
        | ~ cC6(X) ) ),
    inference(nnf_transformation,[status(thm)],[f14]) ).

fof(f14_sk,plain,
    ! [X] :
      ( ( ~ cC2xcomp(X)
        | ~ cC4xcomp(X)
        | cC6(X) )
      & ( ( cC2xcomp(X)
          & cC4xcomp(X) )
        | ~ cC6(X) ) ),
    inference(skolemisation,[status(esa)],[f14_nnf]) ).

cnf(c36,plain,
    ( ~ cC2xcomp(X0)
    | ~ cC4xcomp(X0)
    | cC6(X0) ),
    inference(cnf_transformation,[status(esa)],[f14_sk]) ).

fof(f24,axiom,
    cC4xcomp(iV16561),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).

fof(f24_nnf,plain,
    cC4xcomp(iV16561),
    inference(nnf_transformation,[status(thm)],[f24]) ).

cnf(c50,plain,
    cC4xcomp(iV16561),
    inference(cnf_transformation,[status(esa)],[f24_nnf]) ).

cnf(p110,plain,
    ( ~ cC2xcomp(iV16561)
    | cC6(iV16561) ),
    inference(resolution,[status(thm)],[c36,c50]) ).

fof(f25,axiom,
    cC2xcomp(iV16561),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).

fof(f25_nnf,plain,
    cC2xcomp(iV16561),
    inference(nnf_transformation,[status(thm)],[f25]) ).

cnf(c51,plain,
    cC2xcomp(iV16561),
    inference(cnf_transformation,[status(esa)],[f25_nnf]) ).

cnf(p112,plain,
    cC6(iV16561),
    inference(resolution,[status(thm)],[p110,c51]) ).

fof(f16,axiom,
    ! [X] :
      ( cTEST(X)
    <=> ( cC18(X)
        & cTOP(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).

fof(f16_nnf,plain,
    ! [X] :
      ( ( ~ cC18(X)
        | ~ cTOP(X)
        | cTEST(X) )
      & ( ( cC18(X)
          & cTOP(X) )
        | ~ cTEST(X) ) ),
    inference(nnf_transformation,[status(thm)],[f16]) ).

fof(f16_sk,plain,
    ! [X] :
      ( ( ~ cC18(X)
        | ~ cTOP(X)
        | cTEST(X) )
      & ( ( cC18(X)
          & cTOP(X) )
        | ~ cTEST(X) ) ),
    inference(skolemisation,[status(esa)],[f16_nnf]) ).

cnf(c41,plain,
    ( cC18(X0)
    | ~ cTEST(X0) ),
    inference(cnf_transformation,[status(esa)],[f16_sk]) ).

fof(f18,axiom,
    cTEST(iV16560),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).

fof(f18_nnf,plain,
    cTEST(iV16560),
    inference(nnf_transformation,[status(thm)],[f18]) ).

cnf(c44,plain,
    cTEST(iV16560),
    inference(cnf_transformation,[status(esa)],[f18_nnf]) ).

cnf(p64,plain,
    cC18(iV16560),
    inference(resolution,[status(thm)],[c41,c44]) ).

fof(f8,axiom,
    ! [X] :
      ( cC18(X)
    <=> ( cC16(X)
        & cTOP(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f8_nnf,plain,
    ! [X] :
      ( ( ~ cC16(X)
        | ~ cTOP(X)
        | cC18(X) )
      & ( ( cC16(X)
          & cTOP(X) )
        | ~ cC18(X) ) ),
    inference(nnf_transformation,[status(thm)],[f8]) ).

fof(f8_sk,plain,
    ! [X] :
      ( ( ~ cC16(X)
        | ~ cTOP(X)
        | cC18(X) )
      & ( ( cC16(X)
          & cTOP(X) )
        | ~ cC18(X) ) ),
    inference(skolemisation,[status(esa)],[f8_nnf]) ).

cnf(c21,plain,
    ( cC16(X0)
    | ~ cC18(X0) ),
    inference(cnf_transformation,[status(esa)],[f8_sk]) ).

cnf(p66,plain,
    cC16(iV16560),
    inference(resolution,[status(thm)],[p64,c21]) ).

fof(f7,axiom,
    ! [X] :
      ( cC16(X)
    <=> ( cC8(X)
        & cC14(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f7_nnf,plain,
    ! [X] :
      ( ( ~ cC8(X)
        | ~ cC14(X)
        | cC16(X) )
      & ( ( cC8(X)
          & cC14(X) )
        | ~ cC16(X) ) ),
    inference(nnf_transformation,[status(thm)],[f7]) ).

fof(f7_sk,plain,
    ! [X] :
      ( ( ~ cC8(X)
        | ~ cC14(X)
        | cC16(X) )
      & ( ( cC8(X)
          & cC14(X) )
        | ~ cC16(X) ) ),
    inference(skolemisation,[status(esa)],[f7_nnf]) ).

cnf(c18,plain,
    ( cC8(X0)
    | ~ cC16(X0) ),
    inference(cnf_transformation,[status(esa)],[f7_sk]) ).

cnf(p70,plain,
    cC8(iV16560),
    inference(resolution,[status(thm)],[p66,c18]) ).

cnf(c17,plain,
    ( cC14(X0)
    | ~ cC16(X0) ),
    inference(cnf_transformation,[status(esa)],[f7_sk]) ).

cnf(p69,plain,
    cC14(iV16560),
    inference(resolution,[status(thm)],[p66,c17]) ).

fof(f1,axiom,
    ! [X] :
      ( xsd_string(X)
    <=> ~ xsd_integer(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f1_nnf,plain,
    ! [X] :
      ( ( xsd_integer(X)
        | xsd_string(X) )
      & ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [X] :
      ( ( xsd_integer(X)
        | xsd_string(X) )
      & ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c3,plain,
    ( xsd_integer(X0)
    | xsd_string(X0) ),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

fof(f0,axiom,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(f0_nnf,plain,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    inference(skolemisation,[status(esa)],[f0_nnf]) ).

cnf(c0,plain,
    cowlThing(X0),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

fof(f30,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f30_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(negated_conjecture,[status(cth)],[f30]) ).

fof(f30_nnf,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) ) )
    | ? [X] :
        ( cowlNothing(X)
        | ~ cowlThing(X) ) ),
    inference(nnf_transformation,[status(thm)],[f30_neg]) ).

fof(f30_sk,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ( ~ xsd_integer(sk11)
      & ~ xsd_string(sk11) )
    | ( xsd_integer(sk11)
      & xsd_string(sk11) )
    | cowlNothing(sk10)
    | ~ cowlThing(sk10) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk10,sk11])],[f30_nnf]) ).

cnf(c57,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sk11)
    | xsd_string(sk11)
    | cowlNothing(sk10)
    | ~ cowlThing(sk10) ),
    inference(cnf_transformation,[status(esa)],[f30_sk]) ).

cnf(p60,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sk11)
    | xsd_string(sk11)
    | cowlNothing(sk10) ),
    inference(resolution,[status(thm)],[c0,c57]) ).

cnf(p62,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | xsd_string(sk11)
    | cowlNothing(sk10)
    | xsd_string(sk11) ),
    inference(resolution,[status(thm)],[c3,p60]) ).

cnf(p63,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | cowlNothing(sk10)
    | xsd_string(sk11) ),
    inference(factoring,[status(thm)],[p62]) ).

cnf(p65,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | cowlNothing(sk10)
    | xsd_string(sk11) ),
    inference(resolution,[status(thm)],[p64,p63]) ).

cnf(p71,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | cowlNothing(sk10)
    | xsd_string(sk11) ),
    inference(resolution,[status(thm)],[p69,p65]) ).

cnf(p72,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | cowlNothing(sk10)
    | xsd_string(sk11) ),
    inference(resolution,[status(thm)],[p70,p71]) ).

cnf(p74,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | cowlNothing(sk10)
    | xsd_string(sk11) ),
    inference(resolution,[status(thm)],[p72,p66]) ).

cnf(p75,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | cowlNothing(sk10)
    | xsd_string(sk11) ),
    inference(resolution,[status(thm)],[p74,c0]) ).

cnf(p113,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | cowlNothing(sk10)
    | xsd_string(sk11) ),
    inference(resolution,[status(thm)],[p112,p75]) ).

cnf(p114,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | cowlNothing(sk10)
    | xsd_string(sk11) ),
    inference(resolution,[status(thm)],[p113,c0]) ).

fof(f5,axiom,
    ! [X] :
      ( cC12(X)
    <=> ( cC2xcomp(X)
        & cC10xcomp(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f5_nnf,plain,
    ! [X] :
      ( ( ~ cC2xcomp(X)
        | ~ cC10xcomp(X)
        | cC12(X) )
      & ( ( cC2xcomp(X)
          & cC10xcomp(X) )
        | ~ cC12(X) ) ),
    inference(nnf_transformation,[status(thm)],[f5]) ).

fof(f5_sk,plain,
    ! [X] :
      ( ( ~ cC2xcomp(X)
        | ~ cC10xcomp(X)
        | cC12(X) )
      & ( ( cC2xcomp(X)
          & cC10xcomp(X) )
        | ~ cC12(X) ) ),
    inference(skolemisation,[status(esa)],[f5_nnf]) ).

cnf(c13,plain,
    ( ~ cC2xcomp(X0)
    | ~ cC10xcomp(X0)
    | cC12(X0) ),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

fof(f28,axiom,
    cC10xcomp(iV16562),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).

fof(f28_nnf,plain,
    cC10xcomp(iV16562),
    inference(nnf_transformation,[status(thm)],[f28]) ).

cnf(c54,plain,
    cC10xcomp(iV16562),
    inference(cnf_transformation,[status(esa)],[f28_nnf]) ).

cnf(p81,plain,
    ( ~ cC2xcomp(iV16562)
    | cC12(iV16562) ),
    inference(resolution,[status(thm)],[c13,c54]) ).

fof(f29,axiom,
    cC2xcomp(iV16562),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).

fof(f29_nnf,plain,
    cC2xcomp(iV16562),
    inference(nnf_transformation,[status(thm)],[f29]) ).

cnf(c55,plain,
    cC2xcomp(iV16562),
    inference(cnf_transformation,[status(esa)],[f29_nnf]) ).

cnf(p83,plain,
    cC12(iV16562),
    inference(resolution,[status(thm)],[p81,c55]) ).

cnf(p116,plain,
    ( ~ cowlThing(iV16562)
    | cowlNothing(sk10)
    | xsd_string(sk11) ),
    inference(resolution,[status(thm)],[p114,p83]) ).

cnf(p117,plain,
    ( cowlNothing(sk10)
    | xsd_string(sk11) ),
    inference(resolution,[status(thm)],[p116,c0]) ).

cnf(c58,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_string(sk11)
    | xsd_integer(sk11)
    | cowlNothing(sk10)
    | ~ cowlThing(sk10) ),
    inference(cnf_transformation,[status(esa)],[f30_sk]) ).

cnf(p61,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_string(sk11)
    | xsd_integer(sk11)
    | cowlNothing(sk10) ),
    inference(resolution,[status(thm)],[c0,c58]) ).

cnf(p118,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | xsd_integer(sk11)
    | cowlNothing(sk10)
    | cowlNothing(sk10) ),
    inference(resolution,[status(thm)],[p117,p61]) ).

cnf(p120,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | xsd_integer(sk11)
    | cowlNothing(sk10) ),
    inference(factoring,[status(thm)],[p118]) ).

cnf(p121,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | xsd_integer(sk11)
    | cowlNothing(sk10) ),
    inference(resolution,[status(thm)],[p120,p64]) ).

cnf(p122,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | xsd_integer(sk11)
    | cowlNothing(sk10) ),
    inference(resolution,[status(thm)],[p121,p69]) ).

cnf(p123,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | xsd_integer(sk11)
    | cowlNothing(sk10) ),
    inference(resolution,[status(thm)],[p122,p70]) ).

cnf(p124,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | xsd_integer(sk11)
    | cowlNothing(sk10) ),
    inference(resolution,[status(thm)],[p123,p66]) ).

cnf(p125,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | xsd_integer(sk11)
    | cowlNothing(sk10) ),
    inference(resolution,[status(thm)],[p124,c0]) ).

cnf(p126,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | xsd_integer(sk11)
    | cowlNothing(sk10) ),
    inference(resolution,[status(thm)],[p125,p112]) ).

cnf(p127,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | xsd_integer(sk11)
    | cowlNothing(sk10) ),
    inference(resolution,[status(thm)],[p126,c0]) ).

cnf(p132,plain,
    ( ~ cowlThing(iV16562)
    | xsd_integer(sk11)
    | cowlNothing(sk10) ),
    inference(resolution,[status(thm)],[p127,p83]) ).

cnf(p133,plain,
    ( xsd_integer(sk11)
    | cowlNothing(sk10) ),
    inference(resolution,[status(thm)],[p132,c0]) ).

cnf(c2,plain,
    ( ~ xsd_integer(X0)
    | ~ xsd_string(X0) ),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(p119,plain,
    ( ~ xsd_integer(sk11)
    | cowlNothing(sk10) ),
    inference(resolution,[status(thm)],[p117,c2]) ).

cnf(p134,plain,
    ( cowlNothing(sk10)
    | cowlNothing(sk10) ),
    inference(resolution,[status(thm)],[p133,p119]) ).

cnf(p135,plain,
    cowlNothing(sk10),
    inference(factoring,[status(thm)],[p134]) ).

cnf(c1,plain,
    ~ cowlNothing(X0),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p136,plain,
    $false,
    inference(resolution,[status(thm)],[p135,c1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS158+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.38  % Computer : n026.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Wed Sep 23 19:35:23 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.34/0.93  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.34/0.93  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------