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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : MED003+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n011.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 : Thu Sep 24 01:24:56 PM UTC 2026

% Result   : Theorem 0.12s 0.38s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   89 (   9 unt;  12 def)
%            Number of atoms       :  359 (   0 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  430 ( 160   ~; 193   |;  49   &)
%                                         (  12 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   21 (  20 usr;  11 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-1 aty)
%            Number of variables   :   97 (  84   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,axiom,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => drugi(X1) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => ( uptakepg(X1)
            & uptakelg(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ! [X0] :
      ( ( ! [X1] :
            ( gt(X0,X1)
           => conditionhyper(X1) )
        & bcapacityex(X0)
        & ! [X1] :
            ( ~ gt(X0,X1)
           => uptakepg(X1) )
        & ! [X1] :
            ( ~ gt(X0,X1)
           => uptakelg(X1) ) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => ( conditionhypo(X1)
            | conditionnormo(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,conjecture,
    ( ( bcapacityex(n0)
      & ! [X0] :
          ( gt(n0,X0)
         => conditionhyper(X0) )
      & ! [X0] :
          ( ~ gt(n0,X0)
         => drugi(X0) ) )
   => ! [X0] :
        ( ~ gt(n0,X0)
       => ( conditionhypo(X0)
          | conditionnormo(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ~ ( ( bcapacityex(n0)
        & ! [X0] :
            ( gt(n0,X0)
           => conditionhyper(X0) )
        & ! [X0] :
            ( ~ gt(n0,X0)
           => drugi(X0) ) )
     => ! [X0] :
          ( ~ gt(n0,X0)
         => ( conditionhypo(X0)
            | conditionnormo(X0) ) ) ),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f33,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( uptakepg(X1)
            & uptakelg(X1) )
          | gt(X0,X1) )
      | ? [X1] :
          ( ~ drugi(X1)
          & ~ gt(X0,X1) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f11]) ).

fof(f34,definition,
    ! [X1] :
      ( sP0_prd(X1)
    <=> ( uptakepg(X1)
        & uptakelg(X1) ) ),
    introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).

fof(f35,plain,
    ! [X0] :
      ( ! [X1] :
          ( sP0_prd(X1)
          | gt(X0,X1) )
      | ? [X1] :
          ( ~ drugi(X1)
          & ~ gt(X0,X1) ) ),
    inference(formula_renaming,[status(thm)],[f33,f34]) ).

fof(f36,plain,
    ! [X0] :
      ( ! [X1] :
          ( sP0_prd(X1)
          | gt(X0,X1) )
      | ( ~ drugi(sK0_skl(X0))
        & ~ gt(X0,sK0_skl(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X1,sK0_skl(X0))],[f35]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( sP0_prd(X1)
      | gt(X0,X1)
      | ~ gt(X0,sK0_skl(X0)) ),
    inference(cnf_transformation,[status(thm)],[f36]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( sP0_prd(X1)
      | gt(X0,X1)
      | ~ drugi(sK0_skl(X0)) ),
    inference(cnf_transformation,[status(thm)],[f36]) ).

fof(f68,plain,
    ! [X0] :
      ( ! [X1] :
          ( conditionhypo(X1)
          | conditionnormo(X1)
          | gt(X0,X1) )
      | ? [X1] :
          ( ~ conditionhyper(X1)
          & gt(X0,X1) )
      | ~ bcapacityex(X0)
      | ? [X1] :
          ( ~ uptakepg(X1)
          & ~ gt(X0,X1) )
      | ? [X1] :
          ( ~ uptakelg(X1)
          & ~ gt(X0,X1) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f18]) ).

fof(f69,definition,
    ! [X0] :
      ( sP4_prd(X0)
    <=> ( ~ bcapacityex(X0)
        | ? [X1] :
            ( ~ uptakepg(X1)
            & ~ gt(X0,X1) )
        | ? [X1] :
            ( ~ uptakelg(X1)
            & ~ gt(X0,X1) ) ) ),
    introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).

fof(f70,plain,
    ! [X0] :
      ( ! [X1] :
          ( conditionhypo(X1)
          | conditionnormo(X1)
          | gt(X0,X1) )
      | ? [X1] :
          ( ~ conditionhyper(X1)
          & gt(X0,X1) )
      | sP4_prd(X0) ),
    inference(formula_renaming,[status(thm)],[f68,f69]) ).

fof(f71,plain,
    ! [X0] :
      ( ! [X1] :
          ( conditionhypo(X1)
          | conditionnormo(X1)
          | gt(X0,X1) )
      | ( ~ conditionhyper(sK6_skl(X0))
        & gt(X0,sK6_skl(X0)) )
      | sP4_prd(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(X1,sK6_skl(X0))],[f70]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( conditionhypo(X1)
      | conditionnormo(X1)
      | gt(X0,X1)
      | gt(X0,sK6_skl(X0))
      | sP4_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f71]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( conditionhypo(X1)
      | conditionnormo(X1)
      | gt(X0,X1)
      | ~ conditionhyper(sK6_skl(X0))
      | sP4_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f71]) ).

fof(f74,plain,
    ( ? [X0] :
        ( ~ conditionhypo(X0)
        & ~ conditionnormo(X0)
        & ~ gt(n0,X0) )
    & bcapacityex(n0)
    & ! [X0] :
        ( conditionhyper(X0)
        | ~ gt(n0,X0) )
    & ! [X0] :
        ( drugi(X0)
        | gt(n0,X0) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f20]) ).

fof(f75,plain,
    ( ~ conditionhypo(sK7_skl)
    & ~ conditionnormo(sK7_skl)
    & ~ gt(n0,sK7_skl)
    & bcapacityex(n0)
    & ! [X0] :
        ( conditionhyper(X0)
        | ~ gt(n0,X0) )
    & ! [X0] :
        ( drugi(X0)
        | gt(n0,X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(X0,sK7_skl)],[f74]) ).

fof(f76,plain,
    ! [X0] :
      ( drugi(X0)
      | gt(n0,X0) ),
    inference(cnf_transformation,[status(thm)],[f75]) ).

fof(f77,plain,
    ! [X0] :
      ( conditionhyper(X0)
      | ~ gt(n0,X0) ),
    inference(cnf_transformation,[status(thm)],[f75]) ).

fof(f78,plain,
    bcapacityex(n0),
    inference(cnf_transformation,[status(thm)],[f75]) ).

fof(f79,plain,
    ~ gt(n0,sK7_skl),
    inference(cnf_transformation,[status(thm)],[f75]) ).

fof(f80,plain,
    ~ conditionnormo(sK7_skl),
    inference(cnf_transformation,[status(thm)],[f75]) ).

fof(f81,plain,
    ~ conditionhypo(sK7_skl),
    inference(cnf_transformation,[status(thm)],[f75]) ).

fof(f82,plain,
    ! [X1] :
      ( ( ~ uptakepg(X1)
        | ~ uptakelg(X1)
        | sP0_prd(X1) )
      & ( ( uptakepg(X1)
          & uptakelg(X1) )
        | ~ sP0_prd(X1) ) ),
    inference(NNF_transformation,[status(thm)],[f34]) ).

fof(f83,plain,
    ( ! [X1] :
        ( ~ uptakepg(X1)
        | ~ uptakelg(X1)
        | sP0_prd(X1) )
    & ! [X1] :
        ( ( uptakepg(X1)
          & uptakelg(X1) )
        | ~ sP0_prd(X1) ) ),
    inference(miniscoping,[status(thm)],[f82]) ).

fof(f84,plain,
    ! [X0] :
      ( uptakelg(X0)
      | ~ sP0_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f83]) ).

fof(f85,plain,
    ! [X0] :
      ( uptakepg(X0)
      | ~ sP0_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f83]) ).

fof(f112,plain,
    ! [X0] :
      ( ( ( bcapacityex(X0)
          & ! [X1] :
              ( uptakepg(X1)
              | gt(X0,X1) )
          & ! [X1] :
              ( uptakelg(X1)
              | gt(X0,X1) ) )
        | sP4_prd(X0) )
      & ( ~ bcapacityex(X0)
        | ? [X1] :
            ( ~ uptakepg(X1)
            & ~ gt(X0,X1) )
        | ? [X1] :
            ( ~ uptakelg(X1)
            & ~ gt(X0,X1) )
        | ~ sP4_prd(X0) ) ),
    inference(NNF_transformation,[status(thm)],[f69]) ).

fof(f113,plain,
    ( ! [X0] :
        ( ( bcapacityex(X0)
          & ! [X1] :
              ( uptakepg(X1)
              | gt(X0,X1) )
          & ! [X1] :
              ( uptakelg(X1)
              | gt(X0,X1) ) )
        | sP4_prd(X0) )
    & ! [X0] :
        ( ~ bcapacityex(X0)
        | ? [X1] :
            ( ~ uptakepg(X1)
            & ~ gt(X0,X1) )
        | ? [X1] :
            ( ~ uptakelg(X1)
            & ~ gt(X0,X1) )
        | ~ sP4_prd(X0) ) ),
    inference(miniscoping,[status(thm)],[f112]) ).

fof(f114,plain,
    ( ! [X0] :
        ( ( bcapacityex(X0)
          & ! [X1] :
              ( uptakepg(X1)
              | gt(X0,X1) )
          & ! [X1] :
              ( uptakelg(X1)
              | gt(X0,X1) ) )
        | sP4_prd(X0) )
    & ! [X0] :
        ( ~ bcapacityex(X0)
        | ( ~ uptakepg(sK12_skl(X0))
          & ~ gt(X0,sK12_skl(X0)) )
        | ( ~ uptakelg(sK11_skl(X0))
          & ~ gt(X0,sK11_skl(X0)) )
        | ~ sP4_prd(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl]),skolemize(X1,sK11_skl(X0)),skolemize(X1,sK12_skl(X0))],[f113]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ bcapacityex(X0)
      | ~ gt(X0,sK12_skl(X0))
      | ~ gt(X0,sK11_skl(X0))
      | ~ sP4_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f114]) ).

fof(f116,plain,
    ! [X0] :
      ( ~ bcapacityex(X0)
      | ~ uptakepg(sK12_skl(X0))
      | ~ gt(X0,sK11_skl(X0))
      | ~ sP4_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f114]) ).

fof(f117,plain,
    ! [X0] :
      ( ~ bcapacityex(X0)
      | ~ gt(X0,sK12_skl(X0))
      | ~ uptakelg(sK11_skl(X0))
      | ~ sP4_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f114]) ).

fof(f118,plain,
    ! [X0] :
      ( ~ bcapacityex(X0)
      | ~ uptakepg(sK12_skl(X0))
      | ~ uptakelg(sK11_skl(X0))
      | ~ sP4_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f114]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( gt(n0,sK0_skl(X0))
      | sP0_prd(X1)
      | gt(X0,X1) ),
    inference(resolution,[status(thm)],[f38,f76]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( sP0_prd(X1)
      | gt(n0,X1)
      | sP0_prd(X0)
      | gt(n0,X0) ),
    inference(resolution,[status(thm)],[f37,f131]) ).

fof(f134,definition,
    ! [X0] :
      ( sQ0_spl
    <=> ( sP0_prd(X0)
        | gt(n0,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f135,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | sP0_prd(X0)
      | gt(n0,X0) ),
    inference(component_clause,[status(thm)],[f134]) ).

fof(f137,plain,
    sQ0_spl,
    inference(split_clause,[status(thm)],[f133,f134]) ).

fof(f138,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | uptakepg(X0)
      | gt(n0,X0) ),
    inference(resolution,[status(thm)],[f135,f85]) ).

fof(f139,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | uptakelg(X0)
      | gt(n0,X0) ),
    inference(resolution,[status(thm)],[f135,f84]) ).

fof(f140,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ bcapacityex(X0)
      | ~ gt(X0,sK11_skl(X0))
      | ~ sP4_prd(X0)
      | gt(n0,sK12_skl(X0)) ),
    inference(resolution,[status(thm)],[f138,f116]) ).

fof(f142,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ bcapacityex(X0)
      | ~ gt(X0,sK12_skl(X0))
      | ~ sP4_prd(X0)
      | gt(n0,sK11_skl(X0)) ),
    inference(resolution,[status(thm)],[f139,f117]) ).

fof(f143,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ bcapacityex(X0)
      | ~ uptakepg(sK12_skl(X0))
      | ~ sP4_prd(X0)
      | gt(n0,sK11_skl(X0)) ),
    inference(resolution,[status(thm)],[f139,f118]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( ~ bcapacityex(X0)
      | ~ gt(X0,sK12_skl(X0))
      | ~ gt(X0,sK11_skl(X0))
      | conditionhypo(X1)
      | conditionnormo(X1)
      | gt(X0,X1)
      | ~ conditionhyper(sK6_skl(X0)) ),
    inference(resolution,[status(thm)],[f73,f115]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( ~ bcapacityex(X0)
      | ~ gt(X0,sK12_skl(X0))
      | ~ gt(X0,sK11_skl(X0))
      | conditionhypo(X1)
      | conditionnormo(X1)
      | gt(X0,X1)
      | gt(X0,sK6_skl(X0)) ),
    inference(resolution,[status(thm)],[f72,f115]) ).

fof(f156,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | gt(n0,sK12_skl(X0))
      | ~ bcapacityex(X0)
      | ~ sP4_prd(X0)
      | gt(n0,sK11_skl(X0)) ),
    inference(resolution,[status(thm)],[f143,f138]) ).

fof(f158,plain,
    ( ~ sQ0_spl
    | gt(n0,sK12_skl(n0))
    | ~ bcapacityex(n0)
    | ~ sP4_prd(n0)
    | ~ bcapacityex(n0)
    | ~ sP4_prd(n0)
    | gt(n0,sK12_skl(n0)) ),
    inference(resolution,[status(thm)],[f140,f156]) ).

fof(f159,definition,
    ( sQ1_spl
  <=> gt(n0,sK12_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f160,plain,
    ( ~ sQ1_spl
    | gt(n0,sK12_skl(n0)) ),
    inference(component_clause,[status(thm)],[f159]) ).

fof(f162,definition,
    ( sQ2_spl
  <=> sP4_prd(n0) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f164,plain,
    ( sQ2_spl
    | ~ sP4_prd(n0) ),
    inference(component_clause,[status(thm)],[f162]) ).

fof(f165,definition,
    ( sQ3_spl
  <=> bcapacityex(n0) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f167,plain,
    ( sQ3_spl
    | ~ bcapacityex(n0) ),
    inference(component_clause,[status(thm)],[f165]) ).

fof(f168,plain,
    ( ~ sQ0_spl
    | ~ sQ3_spl
    | ~ sQ2_spl
    | sQ1_spl ),
    inference(split_clause,[status(thm)],[f158,f159,f162,f165,f134]) ).

fof(f169,plain,
    ( sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f167,f78]) ).

fof(f170,plain,
    sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f169]) ).

fof(f171,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ bcapacityex(n0)
      | ~ gt(n0,sK11_skl(n0))
      | conditionhypo(X0)
      | conditionnormo(X0)
      | gt(n0,X0)
      | gt(n0,sK6_skl(n0)) ),
    inference(resolution,[status(thm)],[f160,f155]) ).

fof(f172,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ bcapacityex(n0)
      | ~ gt(n0,sK11_skl(n0))
      | conditionhypo(X0)
      | conditionnormo(X0)
      | gt(n0,X0)
      | ~ conditionhyper(sK6_skl(n0)) ),
    inference(resolution,[status(thm)],[f160,f154]) ).

fof(f176,definition,
    ( sQ4_spl
  <=> gt(n0,sK6_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f177,plain,
    ( ~ sQ4_spl
    | gt(n0,sK6_skl(n0)) ),
    inference(component_clause,[status(thm)],[f176]) ).

fof(f179,definition,
    ! [X0] :
      ( sQ5_spl
    <=> ( conditionhypo(X0)
        | conditionnormo(X0)
        | gt(n0,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f180,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | conditionhypo(X0)
      | conditionnormo(X0)
      | gt(n0,X0) ),
    inference(component_clause,[status(thm)],[f179]) ).

fof(f182,definition,
    ( sQ6_spl
  <=> gt(n0,sK11_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f185,plain,
    ( ~ sQ1_spl
    | ~ sQ3_spl
    | ~ sQ6_spl
    | sQ5_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f171,f176,f179,f182,f165,f159]) ).

fof(f186,definition,
    ( sQ7_spl
  <=> conditionhyper(sK6_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f188,plain,
    ( sQ7_spl
    | ~ conditionhyper(sK6_skl(n0)) ),
    inference(component_clause,[status(thm)],[f186]) ).

fof(f189,plain,
    ( ~ sQ1_spl
    | ~ sQ3_spl
    | ~ sQ6_spl
    | sQ5_spl
    | ~ sQ7_spl ),
    inference(split_clause,[status(thm)],[f172,f186,f179,f182,f165,f159]) ).

fof(f200,plain,
    ( ~ sQ1_spl
    | ~ sQ0_spl
    | ~ bcapacityex(n0)
    | ~ sP4_prd(n0)
    | gt(n0,sK11_skl(n0)) ),
    inference(resolution,[status(thm)],[f142,f160]) ).

fof(f201,plain,
    ( ~ sQ1_spl
    | ~ sQ0_spl
    | ~ sQ3_spl
    | ~ sQ2_spl
    | sQ6_spl ),
    inference(split_clause,[status(thm)],[f200,f182,f162,f165,f134,f159]) ).

fof(f202,plain,
    ! [X0] :
      ( sQ2_spl
      | conditionhypo(X0)
      | conditionnormo(X0)
      | gt(n0,X0)
      | gt(n0,sK6_skl(n0)) ),
    inference(resolution,[status(thm)],[f164,f72]) ).

fof(f203,plain,
    ! [X0] :
      ( sQ2_spl
      | conditionhypo(X0)
      | conditionnormo(X0)
      | gt(n0,X0)
      | ~ conditionhyper(sK6_skl(n0)) ),
    inference(resolution,[status(thm)],[f164,f73]) ).

fof(f206,plain,
    ( sQ2_spl
    | sQ5_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f202,f176,f179,f162]) ).

fof(f207,plain,
    ( sQ2_spl
    | sQ5_spl
    | ~ sQ7_spl ),
    inference(split_clause,[status(thm)],[f203,f186,f179,f162]) ).

fof(f208,plain,
    ( ~ sQ5_spl
    | conditionhypo(sK7_skl)
    | gt(n0,sK7_skl) ),
    inference(resolution,[status(thm)],[f180,f80]) ).

fof(f210,definition,
    ( sQ10_spl
  <=> gt(n0,sK7_skl) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f211,plain,
    ( ~ sQ10_spl
    | gt(n0,sK7_skl) ),
    inference(component_clause,[status(thm)],[f210]) ).

fof(f213,definition,
    ( sQ11_spl
  <=> conditionhypo(sK7_skl) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f214,plain,
    ( ~ sQ11_spl
    | conditionhypo(sK7_skl) ),
    inference(component_clause,[status(thm)],[f213]) ).

fof(f216,plain,
    ( ~ sQ5_spl
    | sQ11_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f208,f210,f213,f179]) ).

fof(f218,plain,
    ( ~ sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f211,f79]) ).

fof(f219,plain,
    ~ sQ10_spl,
    inference(contradiction_clause,[status(thm)],[f218]) ).

fof(f220,plain,
    ( ~ sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f214,f81]) ).

fof(f221,plain,
    ~ sQ11_spl,
    inference(contradiction_clause,[status(thm)],[f220]) ).

fof(f223,plain,
    ( sQ7_spl
    | ~ gt(n0,sK6_skl(n0)) ),
    inference(resolution,[status(thm)],[f188,f77]) ).

fof(f234,plain,
    ( sQ7_spl
    | ~ sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f223,f177]) ).

fof(f235,plain,
    ( sQ7_spl
    | ~ sQ4_spl ),
    inference(contradiction_clause,[status(thm)],[f234]) ).

fof(f236,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f137,f168,f170,f185,f189,f201,f206,f207,f216,f219,f221,f235]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MED003+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n011.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 01:19:56 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.36  % Drodi V4.1.1
% 0.12/0.38  % Refutation found
% 0.12/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41  % Elapsed time: 0.046068 seconds
% 0.12/0.41  % CPU time: 0.143462 seconds
% 0.12/0.41  % Total memory used: 18.877 MB
% 0.12/0.41  % Net memory used: 18.795 MB
%------------------------------------------------------------------------------