↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : MED007+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 : n005.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 21.13s 3.20s
% Output   : CNFRefutation 19.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   99
% Syntax   : Number of formulae    :  466 (  13 unt;  79 def)
%            Number of atoms       : 1896 (   0 equ)
%            Maximal formula atoms :   30 (   4 avg)
%            Number of connectives : 2177 ( 747   ~;1051   |; 249   &)
%                                         (  85 <=>;  45  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   97 (  96 usr;  69 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   1 con; 0-1 aty)
%            Number of variables   :  572 ( 529   !;  43   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] : ~ gt(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Y,Z] :
      ( ( gt(Y,Z)
        & gt(X,Y) )
     => gt(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X0] :
      ( ~ bcapacitysn(X0)
      | ~ bcapacityne(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X0] :
      ( conditionnormo(X0)
      | conditionhypo(X0)
      | conditionhyper(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X0] :
      ( ~ conditionhypo(X0)
      | ~ conditionhyper(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [X0] :
      ( ~ conditionnormo(X0)
      | ~ conditionhyper(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => drugbg(X1) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => ~ releaselg(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [X0] :
      ( ( ! [X1] :
            ( gt(X0,X1)
           => conditionhyper(X1) )
        & ! [X1] :
            ( ~ gt(X0,X1)
           => bsecretioni(X1) )
        & bcapacityne(X0)
        & ( ! [X1] :
              ( ~ gt(X0,X1)
             => uptakepg(X1) )
          | ! [X1] :
              ( ~ gt(X0,X1)
             => ~ releaselg(X1) ) ) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => conditionnormo(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ! [X0] :
      ( ~ s2(X0)
      | ~ s1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ! [X0] :
      ( ~ s3(X0)
      | ~ s1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,axiom,
    ! [X0] :
      ( ~ s3(X0)
      | ~ s2(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => conditionnormo(X1) )
     => ( ( ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) )
          & bcapacityex(X0)
          & ! [X1] :
              ( ~ gt(X0,X1)
             => uptakepg(X1) )
          & ! [X1] :
              ( ~ gt(X0,X1)
             => uptakelg(X1) ) )
        | ( ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) )
          & ! [X1] :
              ( ~ gt(X0,X1)
             => bsecretioni(X1) )
          & bcapacityne(X0)
          & ( ! [X1] :
                ( ~ gt(X0,X1)
               => uptakepg(X1) )
            | ! [X1] :
                ( ~ gt(X0,X1)
               => ~ releaselg(X1) ) ) )
        | ( ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) )
          & ~ qilt27(X0)
          & bcapacitysn(X0)
          & ! [X1] :
              ( ~ gt(X0,X1)
             => ~ releaselg(X1) ) )
        | ( ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) )
          & qilt27(X0)
          & bcapacitysn(X0)
          & ! [X1] :
              ( ~ gt(X0,X1)
             => bsecretioni(X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    ! [X0] :
      ( ( ~ qilt27(X0)
        & s1(X0) )
     => drugbg(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,axiom,
    ! [X0] :
      ( drugbg(X0)
     => ( s3(X0)
        | s2(X0)
        | ( ~ qilt27(X0)
          & s1(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,axiom,
    ! [X0] :
      ( drugi(X0)
     => s3(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f34,axiom,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ gt(X0,X1)
           => uptakepg(X1) )
        | ! [X1] :
            ( ~ gt(X0,X1)
           => uptakelg(X1) ) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => drugi(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,axiom,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => ~ releaselg(X1) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => drugbg(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f39,axiom,
    ! [X0] :
      ( ( ~ ! [X1] :
              ( ~ gt(X0,X1)
             => conditionnormo(X1) )
        & s1(X0) )
     => ? [X1] :
          ( ( bcapacityex(X1)
            | bcapacityne(X1) )
          & ! [X2] :
              ( gt(X1,X2)
             => conditionhyper(X2) )
          & s2(X1)
          & ~ gt(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f40,axiom,
    ! [X0] :
      ( ( ~ ! [X1] :
              ( ~ gt(X0,X1)
             => conditionnormo(X1) )
        & s2(X0) )
     => ? [X1] :
          ( bcapacityex(X1)
          & ! [X2] :
              ( gt(X1,X2)
             => conditionhyper(X2) )
          & s3(X1)
          & ~ gt(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41,conjecture,
    ( ( qilt27(n0)
      & ~ bcapacitysn(n0)
      & ! [X0] :
          ( gt(n0,X0)
         => conditionhyper(X0) )
      & s1(n0) )
   => ? [X0] :
        ( ( bcapacityex(X0)
          | bcapacityne(X0) )
        & ! [X1] :
            ( gt(X0,X1)
           => conditionhyper(X1) )
        & s2(X0)
        & ~ gt(n0,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f42,negated_conjecture,
    ~ ( ( qilt27(n0)
        & ~ bcapacitysn(n0)
        & ! [X0] :
            ( gt(n0,X0)
           => conditionhyper(X0) )
        & s1(n0) )
     => ? [X0] :
          ( ( bcapacityex(X0)
            | bcapacityne(X0) )
          & ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) )
          & s2(X0)
          & ~ gt(n0,X0) ) ),
    inference(negated_conjecture,[status(cth)],[f41]) ).

fof(f43,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f44,plain,
    ! [X,Y,Z] :
      ( gt(X,Z)
      | ~ gt(Y,Z)
      | ~ gt(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f2]) ).

fof(f45,plain,
    ! [X,Z] :
      ( gt(X,Z)
      | ! [Y] :
          ( ~ gt(Y,Z)
          | ~ gt(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f44]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( gt(X0,X2)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f45]) ).

fof(f49,plain,
    ! [X0] :
      ( ~ bcapacitysn(X0)
      | ~ bcapacityne(X0) ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f51,plain,
    ! [X0] :
      ( conditionnormo(X0)
      | conditionhypo(X0)
      | conditionhyper(X0) ),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ conditionhypo(X0)
      | ~ conditionhyper(X0) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f53,plain,
    ! [X0] :
      ( ~ conditionnormo(X0)
      | ~ conditionhyper(X0) ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f68,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ releaselg(X1)
          | gt(X0,X1) )
      | ? [X1] :
          ( ~ drugbg(X1)
          & ~ gt(X0,X1) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f14]) ).

fof(f69,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ releaselg(X1)
          | gt(X0,X1) )
      | ( ~ drugbg(sK2_skl(X0))
        & ~ gt(X0,sK2_skl(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(X1,sK2_skl(X0))],[f68]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ~ releaselg(X1)
      | gt(X0,X1)
      | ~ gt(X0,sK2_skl(X0)) ),
    inference(cnf_transformation,[status(thm)],[f69]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ releaselg(X1)
      | gt(X0,X1)
      | ~ drugbg(sK2_skl(X0)) ),
    inference(cnf_transformation,[status(thm)],[f69]) ).

fof(f84,plain,
    ! [X0] :
      ( ! [X1] :
          ( conditionnormo(X1)
          | gt(X0,X1) )
      | ? [X1] :
          ( ~ conditionhyper(X1)
          & gt(X0,X1) )
      | ? [X1] :
          ( ~ bsecretioni(X1)
          & ~ gt(X0,X1) )
      | ~ bcapacityne(X0)
      | ( ? [X1] :
            ( ~ uptakepg(X1)
            & ~ gt(X0,X1) )
        & ? [X1] :
            ( releaselg(X1)
            & ~ gt(X0,X1) ) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f17]) ).

fof(f85,definition,
    ! [X0] :
      ( sP3_prd(X0)
    <=> ( ? [X1] :
            ( ~ bsecretioni(X1)
            & ~ gt(X0,X1) )
        | ~ bcapacityne(X0)
        | ( ? [X1] :
              ( ~ uptakepg(X1)
              & ~ gt(X0,X1) )
          & ? [X1] :
              ( releaselg(X1)
              & ~ gt(X0,X1) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ s2(X0)
      | ~ s1(X0) ),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ s3(X0)
      | ~ s1(X0) ),
    inference(cnf_transformation,[status(thm)],[f24]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ s3(X0)
      | ~ s2(X0) ),
    inference(cnf_transformation,[status(thm)],[f25]) ).

fof(f103,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( conditionhyper(X1)
            | ~ gt(X0,X1) )
        & bcapacityex(X0)
        & ! [X1] :
            ( uptakepg(X1)
            | gt(X0,X1) )
        & ! [X1] :
            ( uptakelg(X1)
            | gt(X0,X1) ) )
      | ( ! [X1] :
            ( conditionhyper(X1)
            | ~ gt(X0,X1) )
        & ! [X1] :
            ( bsecretioni(X1)
            | gt(X0,X1) )
        & bcapacityne(X0)
        & ( ! [X1] :
              ( uptakepg(X1)
              | gt(X0,X1) )
          | ! [X1] :
              ( ~ releaselg(X1)
              | gt(X0,X1) ) ) )
      | ( ! [X1] :
            ( conditionhyper(X1)
            | ~ gt(X0,X1) )
        & ~ qilt27(X0)
        & bcapacitysn(X0)
        & ! [X1] :
            ( ~ releaselg(X1)
            | gt(X0,X1) ) )
      | ( ! [X1] :
            ( conditionhyper(X1)
            | ~ gt(X0,X1) )
        & qilt27(X0)
        & bcapacitysn(X0)
        & ! [X1] :
            ( bsecretioni(X1)
            | gt(X0,X1) ) )
      | ? [X1] :
          ( ~ conditionnormo(X1)
          & ~ gt(X0,X1) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f26]) ).

fof(f104,definition,
    ! [X0,X1] :
      ( sP5_prd(X1,X0)
    <=> ( ~ conditionnormo(X1)
        & ~ gt(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).

fof(f105,definition,
    ! [X0] :
      ( sP6_prd(X0)
    <=> ( ( ! [X1] :
              ( conditionhyper(X1)
              | ~ gt(X0,X1) )
          & ! [X1] :
              ( bsecretioni(X1)
              | gt(X0,X1) )
          & bcapacityne(X0)
          & ( ! [X1] :
                ( uptakepg(X1)
                | gt(X0,X1) )
            | ! [X1] :
                ( ~ releaselg(X1)
                | gt(X0,X1) ) ) )
        | ( ! [X1] :
              ( conditionhyper(X1)
              | ~ gt(X0,X1) )
          & ~ qilt27(X0)
          & bcapacitysn(X0)
          & ! [X1] :
              ( ~ releaselg(X1)
              | gt(X0,X1) ) )
        | ( ! [X1] :
              ( conditionhyper(X1)
              | ~ gt(X0,X1) )
          & qilt27(X0)
          & bcapacitysn(X0)
          & ! [X1] :
              ( bsecretioni(X1)
              | gt(X0,X1) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).

fof(f106,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( conditionhyper(X1)
            | ~ gt(X0,X1) )
        & bcapacityex(X0)
        & ! [X1] :
            ( uptakepg(X1)
            | gt(X0,X1) )
        & ! [X1] :
            ( uptakelg(X1)
            | gt(X0,X1) ) )
      | sP6_prd(X0)
      | ? [X1] : sP5_prd(X1,X0) ),
    inference(formula_renaming,[status(thm)],[f103,f105,f104]) ).

fof(f107,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( conditionhyper(X1)
            | ~ gt(X0,X1) )
        & bcapacityex(X0)
        & ! [X1] :
            ( uptakepg(X1)
            | gt(X0,X1) )
        & ! [X1] :
            ( uptakelg(X1)
            | gt(X0,X1) ) )
      | sP6_prd(X0)
      | sP5_prd(sK7_skl(X0),X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(X1,sK7_skl(X0))],[f106]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( uptakepg(X1)
      | gt(X0,X1)
      | sP6_prd(X0)
      | sP5_prd(sK7_skl(X0),X0) ),
    inference(cnf_transformation,[status(thm)],[f107]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( conditionhyper(X1)
      | ~ gt(X0,X1)
      | sP6_prd(X0)
      | sP5_prd(sK7_skl(X0),X0) ),
    inference(cnf_transformation,[status(thm)],[f107]) ).

fof(f114,plain,
    ! [X0] :
      ( drugbg(X0)
      | qilt27(X0)
      | ~ s1(X0) ),
    inference(pre_NNF_transformation,[status(thm)],[f28]) ).

fof(f115,plain,
    ! [X0] :
      ( drugbg(X0)
      | qilt27(X0)
      | ~ s1(X0) ),
    inference(cnf_transformation,[status(thm)],[f114]) ).

fof(f122,plain,
    ! [X0] :
      ( s3(X0)
      | s2(X0)
      | ( ~ qilt27(X0)
        & s1(X0) )
      | ~ drugbg(X0) ),
    inference(pre_NNF_transformation,[status(thm)],[f31]) ).

fof(f124,plain,
    ! [X0] :
      ( s3(X0)
      | s2(X0)
      | ~ qilt27(X0)
      | ~ drugbg(X0) ),
    inference(cnf_transformation,[status(thm)],[f122]) ).

fof(f128,plain,
    ! [X0] :
      ( s3(X0)
      | ~ drugi(X0) ),
    inference(pre_NNF_transformation,[status(thm)],[f33]) ).

fof(f129,plain,
    ! [X0] :
      ( s3(X0)
      | ~ drugi(X0) ),
    inference(cnf_transformation,[status(thm)],[f128]) ).

fof(f130,plain,
    ! [X0] :
      ( ! [X1] :
          ( drugi(X1)
          | gt(X0,X1) )
      | ( ? [X1] :
            ( ~ uptakepg(X1)
            & ~ gt(X0,X1) )
        & ? [X1] :
            ( ~ uptakelg(X1)
            & ~ gt(X0,X1) ) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f34]) ).

fof(f131,plain,
    ! [X0] :
      ( ! [X1] :
          ( drugi(X1)
          | gt(X0,X1) )
      | ( ~ uptakepg(sK9_skl(X0))
        & ~ gt(X0,sK9_skl(X0))
        & ~ uptakelg(sK8_skl(X0))
        & ~ gt(X0,sK8_skl(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl]),skolemize(X1,sK8_skl(X0)),skolemize(X1,sK9_skl(X0))],[f130]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( drugi(X1)
      | gt(X0,X1)
      | ~ gt(X0,sK8_skl(X0)) ),
    inference(cnf_transformation,[status(thm)],[f131]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( drugi(X1)
      | gt(X0,X1)
      | ~ uptakelg(sK8_skl(X0)) ),
    inference(cnf_transformation,[status(thm)],[f131]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( drugi(X1)
      | gt(X0,X1)
      | ~ gt(X0,sK9_skl(X0)) ),
    inference(cnf_transformation,[status(thm)],[f131]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( drugi(X1)
      | gt(X0,X1)
      | ~ uptakepg(sK9_skl(X0)) ),
    inference(cnf_transformation,[status(thm)],[f131]) ).

fof(f145,plain,
    ! [X0] :
      ( ! [X1] :
          ( drugbg(X1)
          | gt(X0,X1) )
      | ? [X1] :
          ( releaselg(X1)
          & ~ gt(X0,X1) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f37]) ).

fof(f146,plain,
    ! [X0] :
      ( ! [X1] :
          ( drugbg(X1)
          | gt(X0,X1) )
      | ( releaselg(sK11_skl(X0))
        & ~ gt(X0,sK11_skl(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(X1,sK11_skl(X0))],[f145]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( drugbg(X1)
      | gt(X0,X1)
      | ~ gt(X0,sK11_skl(X0)) ),
    inference(cnf_transformation,[status(thm)],[f146]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( drugbg(X1)
      | gt(X0,X1)
      | releaselg(sK11_skl(X0)) ),
    inference(cnf_transformation,[status(thm)],[f146]) ).

fof(f154,plain,
    ! [X0] :
      ( ? [X1] :
          ( ( bcapacityex(X1)
            | bcapacityne(X1) )
          & ! [X2] :
              ( conditionhyper(X2)
              | ~ gt(X1,X2) )
          & s2(X1)
          & ~ gt(X0,X1) )
      | ! [X1] :
          ( conditionnormo(X1)
          | gt(X0,X1) )
      | ~ s1(X0) ),
    inference(pre_NNF_transformation,[status(thm)],[f39]) ).

fof(f155,plain,
    ! [X0] :
      ( ( ( bcapacityex(sK13_skl(X0))
          | bcapacityne(sK13_skl(X0)) )
        & ! [X2] :
            ( conditionhyper(X2)
            | ~ gt(sK13_skl(X0),X2) )
        & s2(sK13_skl(X0))
        & ~ gt(X0,sK13_skl(X0)) )
      | ! [X1] :
          ( conditionnormo(X1)
          | gt(X0,X1) )
      | ~ s1(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(X1,sK13_skl(X0))],[f154]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK13_skl(X0))
      | conditionnormo(X1)
      | gt(X0,X1)
      | ~ s1(X0) ),
    inference(cnf_transformation,[status(thm)],[f155]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( s2(sK13_skl(X0))
      | conditionnormo(X1)
      | gt(X0,X1)
      | ~ s1(X0) ),
    inference(cnf_transformation,[status(thm)],[f155]) ).

fof(f158,plain,
    ! [X0,X1,X2] :
      ( conditionhyper(X2)
      | ~ gt(sK13_skl(X0),X2)
      | conditionnormo(X1)
      | gt(X0,X1)
      | ~ s1(X0) ),
    inference(cnf_transformation,[status(thm)],[f155]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( bcapacityex(sK13_skl(X0))
      | bcapacityne(sK13_skl(X0))
      | conditionnormo(X1)
      | gt(X0,X1)
      | ~ s1(X0) ),
    inference(cnf_transformation,[status(thm)],[f155]) ).

fof(f160,plain,
    ! [X0] :
      ( ? [X1] :
          ( bcapacityex(X1)
          & ! [X2] :
              ( conditionhyper(X2)
              | ~ gt(X1,X2) )
          & s3(X1)
          & ~ gt(X0,X1) )
      | ! [X1] :
          ( conditionnormo(X1)
          | gt(X0,X1) )
      | ~ s2(X0) ),
    inference(pre_NNF_transformation,[status(thm)],[f40]) ).

fof(f161,plain,
    ! [X0] :
      ( ( bcapacityex(sK14_skl(X0))
        & ! [X2] :
            ( conditionhyper(X2)
            | ~ gt(sK14_skl(X0),X2) )
        & s3(sK14_skl(X0))
        & ~ gt(X0,sK14_skl(X0)) )
      | ! [X1] :
          ( conditionnormo(X1)
          | gt(X0,X1) )
      | ~ s2(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl]),skolemize(X1,sK14_skl(X0))],[f160]) ).

fof(f164,plain,
    ! [X0,X1,X2] :
      ( conditionhyper(X2)
      | ~ gt(sK14_skl(X0),X2)
      | conditionnormo(X1)
      | gt(X0,X1)
      | ~ s2(X0) ),
    inference(cnf_transformation,[status(thm)],[f161]) ).

fof(f166,plain,
    ( ! [X0] :
        ( ( ~ bcapacityex(X0)
          & ~ bcapacityne(X0) )
        | ? [X1] :
            ( ~ conditionhyper(X1)
            & gt(X0,X1) )
        | ~ s2(X0)
        | gt(n0,X0) )
    & qilt27(n0)
    & ~ bcapacitysn(n0)
    & ! [X0] :
        ( conditionhyper(X0)
        | ~ gt(n0,X0) )
    & s1(n0) ),
    inference(pre_NNF_transformation,[status(thm)],[f42]) ).

fof(f167,definition,
    ! [X0,X1] :
      ( sP8_prd(X1,X0)
    <=> ( ~ conditionhyper(X1)
        & gt(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).

fof(f168,plain,
    ( ! [X0] :
        ( ( ~ bcapacityex(X0)
          & ~ bcapacityne(X0) )
        | ? [X1] : sP8_prd(X1,X0)
        | ~ s2(X0)
        | gt(n0,X0) )
    & qilt27(n0)
    & ~ bcapacitysn(n0)
    & ! [X0] :
        ( conditionhyper(X0)
        | ~ gt(n0,X0) )
    & s1(n0) ),
    inference(formula_renaming,[status(thm)],[f166,f167]) ).

fof(f169,plain,
    ( ! [X0] :
        ( ( ~ bcapacityex(X0)
          & ~ bcapacityne(X0) )
        | sP8_prd(sK15_skl(X0),X0)
        | ~ s2(X0)
        | gt(n0,X0) )
    & qilt27(n0)
    & ~ bcapacitysn(n0)
    & ! [X0] :
        ( conditionhyper(X0)
        | ~ gt(n0,X0) )
    & s1(n0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(X1,sK15_skl(X0))],[f168]) ).

fof(f170,plain,
    s1(n0),
    inference(cnf_transformation,[status(thm)],[f169]) ).

fof(f171,plain,
    ! [X0] :
      ( conditionhyper(X0)
      | ~ gt(n0,X0) ),
    inference(cnf_transformation,[status(thm)],[f169]) ).

fof(f172,plain,
    ~ bcapacitysn(n0),
    inference(cnf_transformation,[status(thm)],[f169]) ).

fof(f173,plain,
    qilt27(n0),
    inference(cnf_transformation,[status(thm)],[f169]) ).

fof(f174,plain,
    ! [X0] :
      ( ~ bcapacityne(X0)
      | sP8_prd(sK15_skl(X0),X0)
      | ~ s2(X0)
      | gt(n0,X0) ),
    inference(cnf_transformation,[status(thm)],[f169]) ).

fof(f175,plain,
    ! [X0] :
      ( ~ bcapacityex(X0)
      | sP8_prd(sK15_skl(X0),X0)
      | ~ s2(X0)
      | gt(n0,X0) ),
    inference(cnf_transformation,[status(thm)],[f169]) ).

fof(f197,definition,
    ! [X0] :
      ( sP9_prd(X0)
    <=> ( ~ bcapacityne(X0)
        | ( ? [X1] :
              ( ~ uptakepg(X1)
              & ~ gt(X0,X1) )
          & ? [X1] :
              ( releaselg(X1)
              & ~ gt(X0,X1) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( ( conditionnormo(X1)
        | gt(X0,X1)
        | sP5_prd(X1,X0) )
      & ( ( ~ conditionnormo(X1)
          & ~ gt(X0,X1) )
        | ~ sP5_prd(X1,X0) ) ),
    inference(NNF_transformation,[status(thm)],[f104]) ).

fof(f217,plain,
    ( ! [X0,X1] :
        ( conditionnormo(X1)
        | gt(X0,X1)
        | sP5_prd(X1,X0) )
    & ! [X0,X1] :
        ( ( ~ conditionnormo(X1)
          & ~ gt(X0,X1) )
        | ~ sP5_prd(X1,X0) ) ),
    inference(miniscoping,[status(thm)],[f216]) ).

fof(f218,plain,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | ~ sP5_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f217]) ).

fof(f219,plain,
    ! [X0,X1] :
      ( ~ conditionnormo(X0)
      | ~ sP5_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f217]) ).

fof(f221,definition,
    ! [X0] :
      ( sP10_prd(X0)
    <=> ( ( ! [X1] :
              ( conditionhyper(X1)
              | ~ gt(X0,X1) )
          & ~ qilt27(X0)
          & bcapacitysn(X0)
          & ! [X1] :
              ( ~ releaselg(X1)
              | gt(X0,X1) ) )
        | ( ! [X1] :
              ( conditionhyper(X1)
              | ~ gt(X0,X1) )
          & qilt27(X0)
          & bcapacitysn(X0)
          & ! [X1] :
              ( bsecretioni(X1)
              | gt(X0,X1) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).

fof(f222,plain,
    ! [X0] :
      ( sP6_prd(X0)
    <=> ( ( ! [X1] :
              ( conditionhyper(X1)
              | ~ gt(X0,X1) )
          & ! [X1] :
              ( bsecretioni(X1)
              | gt(X0,X1) )
          & bcapacityne(X0)
          & ( ! [X1] :
                ( uptakepg(X1)
                | gt(X0,X1) )
            | ! [X1] :
                ( ~ releaselg(X1)
                | gt(X0,X1) ) ) )
        | sP10_prd(X0) ) ),
    inference(formula_renaming,[status(thm)],[f105,f221]) ).

fof(f223,definition,
    ! [X0] :
      ( sP11_prd(X0)
    <=> ( ! [X1] :
            ( bsecretioni(X1)
            | gt(X0,X1) )
        & bcapacityne(X0)
        & ( ! [X1] :
              ( uptakepg(X1)
              | gt(X0,X1) )
          | ! [X1] :
              ( ~ releaselg(X1)
              | gt(X0,X1) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).

fof(f224,plain,
    ! [X0] :
      ( sP6_prd(X0)
    <=> ( ( ! [X1] :
              ( conditionhyper(X1)
              | ~ gt(X0,X1) )
          & sP11_prd(X0) )
        | sP10_prd(X0) ) ),
    inference(formula_renaming,[status(thm)],[f222,f223]) ).

fof(f225,plain,
    ! [X0] :
      ( ( ( ( ? [X1] :
                ( ~ conditionhyper(X1)
                & gt(X0,X1) )
            | ~ sP11_prd(X0) )
          & ~ sP10_prd(X0) )
        | sP6_prd(X0) )
      & ( ( ! [X1] :
              ( conditionhyper(X1)
              | ~ gt(X0,X1) )
          & sP11_prd(X0) )
        | sP10_prd(X0)
        | ~ sP6_prd(X0) ) ),
    inference(NNF_transformation,[status(thm)],[f224]) ).

fof(f226,plain,
    ( ! [X0] :
        ( ( ( ? [X1] :
                ( ~ conditionhyper(X1)
                & gt(X0,X1) )
            | ~ sP11_prd(X0) )
          & ~ sP10_prd(X0) )
        | sP6_prd(X0) )
    & ! [X0] :
        ( ( ! [X1] :
              ( conditionhyper(X1)
              | ~ gt(X0,X1) )
          & sP11_prd(X0) )
        | sP10_prd(X0)
        | ~ sP6_prd(X0) ) ),
    inference(miniscoping,[status(thm)],[f225]) ).

fof(f227,plain,
    ( ! [X0] :
        ( ( ( ( ~ conditionhyper(sK21_skl(X0))
              & gt(X0,sK21_skl(X0)) )
            | ~ sP11_prd(X0) )
          & ~ sP10_prd(X0) )
        | sP6_prd(X0) )
    & ! [X0] :
        ( ( ! [X1] :
              ( conditionhyper(X1)
              | ~ gt(X0,X1) )
          & sP11_prd(X0) )
        | sP10_prd(X0)
        | ~ sP6_prd(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl]),skolemize(X1,sK21_skl(X0))],[f226]) ).

fof(f228,plain,
    ! [X0] :
      ( sP11_prd(X0)
      | sP10_prd(X0)
      | ~ sP6_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f227]) ).

fof(f229,plain,
    ! [X0,X1] :
      ( conditionhyper(X1)
      | ~ gt(X0,X1)
      | sP10_prd(X0)
      | ~ sP6_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f227]) ).

fof(f230,plain,
    ! [X0] :
      ( ~ sP10_prd(X0)
      | sP6_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f227]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( ( conditionhyper(X1)
        | ~ gt(X0,X1)
        | sP8_prd(X1,X0) )
      & ( ( ~ conditionhyper(X1)
          & gt(X0,X1) )
        | ~ sP8_prd(X1,X0) ) ),
    inference(NNF_transformation,[status(thm)],[f167]) ).

fof(f239,plain,
    ( ! [X0,X1] :
        ( conditionhyper(X1)
        | ~ gt(X0,X1)
        | sP8_prd(X1,X0) )
    & ! [X0,X1] :
        ( ( ~ conditionhyper(X1)
          & gt(X0,X1) )
        | ~ sP8_prd(X1,X0) ) ),
    inference(miniscoping,[status(thm)],[f238]) ).

fof(f240,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | ~ sP8_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f239]) ).

fof(f241,plain,
    ! [X0,X1] :
      ( ~ conditionhyper(X0)
      | ~ sP8_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f239]) ).

fof(f243,plain,
    ! [X0] :
      ( ( ( bcapacityne(X0)
          & ( ! [X1] :
                ( uptakepg(X1)
                | gt(X0,X1) )
            | ! [X1] :
                ( ~ releaselg(X1)
                | gt(X0,X1) ) ) )
        | sP9_prd(X0) )
      & ( ~ bcapacityne(X0)
        | ( ? [X1] :
              ( ~ uptakepg(X1)
              & ~ gt(X0,X1) )
          & ? [X1] :
              ( releaselg(X1)
              & ~ gt(X0,X1) ) )
        | ~ sP9_prd(X0) ) ),
    inference(NNF_transformation,[status(thm)],[f197]) ).

fof(f244,plain,
    ( ! [X0] :
        ( ( bcapacityne(X0)
          & ( ! [X1] :
                ( uptakepg(X1)
                | gt(X0,X1) )
            | ! [X1] :
                ( ~ releaselg(X1)
                | gt(X0,X1) ) ) )
        | sP9_prd(X0) )
    & ! [X0] :
        ( ~ bcapacityne(X0)
        | ( ? [X1] :
              ( ~ uptakepg(X1)
              & ~ gt(X0,X1) )
          & ? [X1] :
              ( releaselg(X1)
              & ~ gt(X0,X1) ) )
        | ~ sP9_prd(X0) ) ),
    inference(miniscoping,[status(thm)],[f243]) ).

fof(f245,plain,
    ( ! [X0] :
        ( ( bcapacityne(X0)
          & ( ! [X1] :
                ( uptakepg(X1)
                | gt(X0,X1) )
            | ! [X1] :
                ( ~ releaselg(X1)
                | gt(X0,X1) ) ) )
        | sP9_prd(X0) )
    & ! [X0] :
        ( ~ bcapacityne(X0)
        | ( ~ uptakepg(sK23_skl(X0))
          & ~ gt(X0,sK23_skl(X0))
          & releaselg(sK22_skl(X0))
          & ~ gt(X0,sK22_skl(X0)) )
        | ~ sP9_prd(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK22_skl,sK23_skl]),skolemize(X1,sK22_skl(X0)),skolemize(X1,sK23_skl(X0))],[f244]) ).

fof(f250,plain,
    ! [X0,X1,X2] :
      ( uptakepg(X2)
      | gt(X0,X2)
      | ~ releaselg(X1)
      | gt(X0,X1)
      | sP9_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f252,definition,
    ! [X0] :
      ( sP12_prd(X0)
    <=> ( ! [X1] :
            ( conditionhyper(X1)
            | ~ gt(X0,X1) )
        & qilt27(X0)
        & bcapacitysn(X0)
        & ! [X1] :
            ( bsecretioni(X1)
            | gt(X0,X1) ) ) ),
    introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).

fof(f253,plain,
    ! [X0] :
      ( sP10_prd(X0)
    <=> ( ( ! [X1] :
              ( conditionhyper(X1)
              | ~ gt(X0,X1) )
          & ~ qilt27(X0)
          & bcapacitysn(X0)
          & ! [X1] :
              ( ~ releaselg(X1)
              | gt(X0,X1) ) )
        | sP12_prd(X0) ) ),
    inference(formula_renaming,[status(thm)],[f221,f252]) ).

fof(f254,definition,
    ! [X0] :
      ( sP13_prd(X0)
    <=> ( ~ qilt27(X0)
        & bcapacitysn(X0)
        & ! [X1] :
            ( ~ releaselg(X1)
            | gt(X0,X1) ) ) ),
    introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).

fof(f255,plain,
    ! [X0] :
      ( sP10_prd(X0)
    <=> ( ( ! [X1] :
              ( conditionhyper(X1)
              | ~ gt(X0,X1) )
          & sP13_prd(X0) )
        | sP12_prd(X0) ) ),
    inference(formula_renaming,[status(thm)],[f253,f254]) ).

fof(f256,plain,
    ! [X0] :
      ( ( ( ( ? [X1] :
                ( ~ conditionhyper(X1)
                & gt(X0,X1) )
            | ~ sP13_prd(X0) )
          & ~ sP12_prd(X0) )
        | sP10_prd(X0) )
      & ( ( ! [X1] :
              ( conditionhyper(X1)
              | ~ gt(X0,X1) )
          & sP13_prd(X0) )
        | sP12_prd(X0)
        | ~ sP10_prd(X0) ) ),
    inference(NNF_transformation,[status(thm)],[f255]) ).

fof(f257,plain,
    ( ! [X0] :
        ( ( ( ? [X1] :
                ( ~ conditionhyper(X1)
                & gt(X0,X1) )
            | ~ sP13_prd(X0) )
          & ~ sP12_prd(X0) )
        | sP10_prd(X0) )
    & ! [X0] :
        ( ( ! [X1] :
              ( conditionhyper(X1)
              | ~ gt(X0,X1) )
          & sP13_prd(X0) )
        | sP12_prd(X0)
        | ~ sP10_prd(X0) ) ),
    inference(miniscoping,[status(thm)],[f256]) ).

fof(f258,plain,
    ( ! [X0] :
        ( ( ( ( ~ conditionhyper(sK24_skl(X0))
              & gt(X0,sK24_skl(X0)) )
            | ~ sP13_prd(X0) )
          & ~ sP12_prd(X0) )
        | sP10_prd(X0) )
    & ! [X0] :
        ( ( ! [X1] :
              ( conditionhyper(X1)
              | ~ gt(X0,X1) )
          & sP13_prd(X0) )
        | sP12_prd(X0)
        | ~ sP10_prd(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK24_skl]),skolemize(X1,sK24_skl(X0))],[f257]) ).

fof(f259,plain,
    ! [X0] :
      ( sP13_prd(X0)
      | sP12_prd(X0)
      | ~ sP10_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f258]) ).

fof(f260,plain,
    ! [X0,X1] :
      ( conditionhyper(X1)
      | ~ gt(X0,X1)
      | sP12_prd(X0)
      | ~ sP10_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f258]) ).

fof(f261,plain,
    ! [X0] :
      ( ~ sP12_prd(X0)
      | sP10_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f258]) ).

fof(f264,definition,
    ! [X0] :
      ( sP14_prd(X0)
    <=> ( bcapacityne(X0)
        & ( ! [X1] :
              ( uptakepg(X1)
              | gt(X0,X1) )
          | ! [X1] :
              ( ~ releaselg(X1)
              | gt(X0,X1) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).

fof(f265,plain,
    ! [X0] :
      ( sP11_prd(X0)
    <=> ( ! [X1] :
            ( bsecretioni(X1)
            | gt(X0,X1) )
        & sP14_prd(X0) ) ),
    inference(formula_renaming,[status(thm)],[f223,f264]) ).

fof(f266,plain,
    ! [X0] :
      ( ( ? [X1] :
            ( ~ bsecretioni(X1)
            & ~ gt(X0,X1) )
        | ~ sP14_prd(X0)
        | sP11_prd(X0) )
      & ( ( ! [X1] :
              ( bsecretioni(X1)
              | gt(X0,X1) )
          & sP14_prd(X0) )
        | ~ sP11_prd(X0) ) ),
    inference(NNF_transformation,[status(thm)],[f265]) ).

fof(f267,plain,
    ( ! [X0] :
        ( ? [X1] :
            ( ~ bsecretioni(X1)
            & ~ gt(X0,X1) )
        | ~ sP14_prd(X0)
        | sP11_prd(X0) )
    & ! [X0] :
        ( ( ! [X1] :
              ( bsecretioni(X1)
              | gt(X0,X1) )
          & sP14_prd(X0) )
        | ~ sP11_prd(X0) ) ),
    inference(miniscoping,[status(thm)],[f266]) ).

fof(f268,plain,
    ( ! [X0] :
        ( ( ~ bsecretioni(sK25_skl(X0))
          & ~ gt(X0,sK25_skl(X0)) )
        | ~ sP14_prd(X0)
        | sP11_prd(X0) )
    & ! [X0] :
        ( ( ! [X1] :
              ( bsecretioni(X1)
              | gt(X0,X1) )
          & sP14_prd(X0) )
        | ~ sP11_prd(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK25_skl]),skolemize(X1,sK25_skl(X0))],[f267]) ).

fof(f269,plain,
    ! [X0] :
      ( sP14_prd(X0)
      | ~ sP11_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f268]) ).

fof(f273,definition,
    ! [X0] :
      ( sP15_prd(X0)
    <=> ( qilt27(X0)
        & bcapacitysn(X0)
        & ! [X1] :
            ( bsecretioni(X1)
            | gt(X0,X1) ) ) ),
    introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).

fof(f274,plain,
    ! [X0] :
      ( sP12_prd(X0)
    <=> ( ! [X1] :
            ( conditionhyper(X1)
            | ~ gt(X0,X1) )
        & sP15_prd(X0) ) ),
    inference(formula_renaming,[status(thm)],[f252,f273]) ).

fof(f275,plain,
    ! [X0] :
      ( ( ? [X1] :
            ( ~ conditionhyper(X1)
            & gt(X0,X1) )
        | ~ sP15_prd(X0)
        | sP12_prd(X0) )
      & ( ( ! [X1] :
              ( conditionhyper(X1)
              | ~ gt(X0,X1) )
          & sP15_prd(X0) )
        | ~ sP12_prd(X0) ) ),
    inference(NNF_transformation,[status(thm)],[f274]) ).

fof(f276,plain,
    ( ! [X0] :
        ( ? [X1] :
            ( ~ conditionhyper(X1)
            & gt(X0,X1) )
        | ~ sP15_prd(X0)
        | sP12_prd(X0) )
    & ! [X0] :
        ( ( ! [X1] :
              ( conditionhyper(X1)
              | ~ gt(X0,X1) )
          & sP15_prd(X0) )
        | ~ sP12_prd(X0) ) ),
    inference(miniscoping,[status(thm)],[f275]) ).

fof(f277,plain,
    ( ! [X0] :
        ( ( ~ conditionhyper(sK26_skl(X0))
          & gt(X0,sK26_skl(X0)) )
        | ~ sP15_prd(X0)
        | sP12_prd(X0) )
    & ! [X0] :
        ( ( ! [X1] :
              ( conditionhyper(X1)
              | ~ gt(X0,X1) )
          & sP15_prd(X0) )
        | ~ sP12_prd(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl]),skolemize(X1,sK26_skl(X0))],[f276]) ).

fof(f278,plain,
    ! [X0] :
      ( sP15_prd(X0)
      | ~ sP12_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f277]) ).

fof(f279,plain,
    ! [X0,X1] :
      ( conditionhyper(X1)
      | ~ gt(X0,X1)
      | ~ sP12_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f277]) ).

fof(f280,plain,
    ! [X0] :
      ( gt(X0,sK26_skl(X0))
      | ~ sP15_prd(X0)
      | sP12_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f277]) ).

fof(f281,plain,
    ! [X0] :
      ( ~ conditionhyper(sK26_skl(X0))
      | ~ sP15_prd(X0)
      | sP12_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f277]) ).

fof(f282,plain,
    ! [X0] :
      ( ( qilt27(X0)
        | ~ bcapacitysn(X0)
        | ? [X1] :
            ( releaselg(X1)
            & ~ gt(X0,X1) )
        | sP13_prd(X0) )
      & ( ( ~ qilt27(X0)
          & bcapacitysn(X0)
          & ! [X1] :
              ( ~ releaselg(X1)
              | gt(X0,X1) ) )
        | ~ sP13_prd(X0) ) ),
    inference(NNF_transformation,[status(thm)],[f254]) ).

fof(f283,plain,
    ( ! [X0] :
        ( qilt27(X0)
        | ~ bcapacitysn(X0)
        | ? [X1] :
            ( releaselg(X1)
            & ~ gt(X0,X1) )
        | sP13_prd(X0) )
    & ! [X0] :
        ( ( ~ qilt27(X0)
          & bcapacitysn(X0)
          & ! [X1] :
              ( ~ releaselg(X1)
              | gt(X0,X1) ) )
        | ~ sP13_prd(X0) ) ),
    inference(miniscoping,[status(thm)],[f282]) ).

fof(f284,plain,
    ( ! [X0] :
        ( qilt27(X0)
        | ~ bcapacitysn(X0)
        | ( releaselg(sK27_skl(X0))
          & ~ gt(X0,sK27_skl(X0)) )
        | sP13_prd(X0) )
    & ! [X0] :
        ( ( ~ qilt27(X0)
          & bcapacitysn(X0)
          & ! [X1] :
              ( ~ releaselg(X1)
              | gt(X0,X1) ) )
        | ~ sP13_prd(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK27_skl]),skolemize(X1,sK27_skl(X0))],[f283]) ).

fof(f285,plain,
    ! [X0,X1] :
      ( ~ releaselg(X1)
      | gt(X0,X1)
      | ~ sP13_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f284]) ).

fof(f287,plain,
    ! [X0] :
      ( ~ qilt27(X0)
      | ~ sP13_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f284]) ).

fof(f290,plain,
    ! [X0] :
      ( ( ~ bcapacityne(X0)
        | ( ? [X1] :
              ( ~ uptakepg(X1)
              & ~ gt(X0,X1) )
          & ? [X1] :
              ( releaselg(X1)
              & ~ gt(X0,X1) ) )
        | sP14_prd(X0) )
      & ( ( bcapacityne(X0)
          & ( ! [X1] :
                ( uptakepg(X1)
                | gt(X0,X1) )
            | ! [X1] :
                ( ~ releaselg(X1)
                | gt(X0,X1) ) ) )
        | ~ sP14_prd(X0) ) ),
    inference(NNF_transformation,[status(thm)],[f264]) ).

fof(f291,plain,
    ( ! [X0] :
        ( ~ bcapacityne(X0)
        | ( ? [X1] :
              ( ~ uptakepg(X1)
              & ~ gt(X0,X1) )
          & ? [X1] :
              ( releaselg(X1)
              & ~ gt(X0,X1) ) )
        | sP14_prd(X0) )
    & ! [X0] :
        ( ( bcapacityne(X0)
          & ( ! [X1] :
                ( uptakepg(X1)
                | gt(X0,X1) )
            | ! [X1] :
                ( ~ releaselg(X1)
                | gt(X0,X1) ) ) )
        | ~ sP14_prd(X0) ) ),
    inference(miniscoping,[status(thm)],[f290]) ).

fof(f292,plain,
    ( ! [X0] :
        ( ~ bcapacityne(X0)
        | ( ~ uptakepg(sK29_skl(X0))
          & ~ gt(X0,sK29_skl(X0))
          & releaselg(sK28_skl(X0))
          & ~ gt(X0,sK28_skl(X0)) )
        | sP14_prd(X0) )
    & ! [X0] :
        ( ( bcapacityne(X0)
          & ( ! [X1] :
                ( uptakepg(X1)
                | gt(X0,X1) )
            | ! [X1] :
                ( ~ releaselg(X1)
                | gt(X0,X1) ) ) )
        | ~ sP14_prd(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK28_skl,sK29_skl]),skolemize(X1,sK28_skl(X0)),skolemize(X1,sK29_skl(X0))],[f291]) ).

fof(f293,plain,
    ! [X0,X1,X2] :
      ( uptakepg(X2)
      | gt(X0,X2)
      | ~ releaselg(X1)
      | gt(X0,X1)
      | ~ sP14_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f292]) ).

fof(f299,plain,
    ! [X0] :
      ( ( ~ qilt27(X0)
        | ~ bcapacitysn(X0)
        | ? [X1] :
            ( ~ bsecretioni(X1)
            & ~ gt(X0,X1) )
        | sP15_prd(X0) )
      & ( ( qilt27(X0)
          & bcapacitysn(X0)
          & ! [X1] :
              ( bsecretioni(X1)
              | gt(X0,X1) ) )
        | ~ sP15_prd(X0) ) ),
    inference(NNF_transformation,[status(thm)],[f273]) ).

fof(f300,plain,
    ( ! [X0] :
        ( ~ qilt27(X0)
        | ~ bcapacitysn(X0)
        | ? [X1] :
            ( ~ bsecretioni(X1)
            & ~ gt(X0,X1) )
        | sP15_prd(X0) )
    & ! [X0] :
        ( ( qilt27(X0)
          & bcapacitysn(X0)
          & ! [X1] :
              ( bsecretioni(X1)
              | gt(X0,X1) ) )
        | ~ sP15_prd(X0) ) ),
    inference(miniscoping,[status(thm)],[f299]) ).

fof(f301,plain,
    ( ! [X0] :
        ( ~ qilt27(X0)
        | ~ bcapacitysn(X0)
        | ( ~ bsecretioni(sK30_skl(X0))
          & ~ gt(X0,sK30_skl(X0)) )
        | sP15_prd(X0) )
    & ! [X0] :
        ( ( qilt27(X0)
          & bcapacitysn(X0)
          & ! [X1] :
              ( bsecretioni(X1)
              | gt(X0,X1) ) )
        | ~ sP15_prd(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK30_skl]),skolemize(X1,sK30_skl(X0))],[f300]) ).

fof(f303,plain,
    ! [X0] :
      ( bcapacitysn(X0)
      | ~ sP15_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f301]) ).

fof(f317,plain,
    ! [X0] :
      ( sP14_prd(X0)
      | sP10_prd(X0)
      | ~ sP6_prd(X0) ),
    inference(resolution,[status(thm)],[f228,f269]) ).

fof(f323,plain,
    ( s3(n0)
    | s2(n0)
    | ~ drugbg(n0) ),
    inference(resolution,[status(thm)],[f124,f173]) ).

fof(f324,definition,
    ( sQ0_spl
  <=> drugbg(n0) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f326,plain,
    ( sQ0_spl
    | ~ drugbg(n0) ),
    inference(component_clause,[status(thm)],[f324]) ).

fof(f327,definition,
    ( sQ1_spl
  <=> s2(n0) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f328,plain,
    ( ~ sQ1_spl
    | s2(n0) ),
    inference(component_clause,[status(thm)],[f327]) ).

fof(f330,definition,
    ( sQ2_spl
  <=> s3(n0) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f331,plain,
    ( ~ sQ2_spl
    | s3(n0) ),
    inference(component_clause,[status(thm)],[f330]) ).

fof(f332,plain,
    ( sQ2_spl
    | ~ s3(n0) ),
    inference(component_clause,[status(thm)],[f330]) ).

fof(f333,plain,
    ( sQ2_spl
    | sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f323,f324,f327,f330]) ).

fof(f336,plain,
    ( ~ sQ2_spl
    | ~ s1(n0) ),
    inference(resolution,[status(thm)],[f331,f101]) ).

fof(f337,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f336,f170]) ).

fof(f338,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f337]) ).

fof(f339,plain,
    ( sQ0_spl
    | qilt27(n0)
    | ~ s1(n0) ),
    inference(resolution,[status(thm)],[f326,f115]) ).

fof(f341,definition,
    ( sQ3_spl
  <=> s1(n0) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f343,plain,
    ( sQ3_spl
    | ~ s1(n0) ),
    inference(component_clause,[status(thm)],[f341]) ).

fof(f344,definition,
    ( sQ4_spl
  <=> qilt27(n0) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f347,plain,
    ( sQ0_spl
    | sQ4_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f339,f341,f344,f324]) ).

fof(f349,plain,
    ( ~ sQ1_spl
    | ~ s1(n0) ),
    inference(resolution,[status(thm)],[f328,f100]) ).

fof(f350,definition,
    ( sQ5_spl
  <=> gt(n0,n0) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f351,plain,
    ( ~ sQ5_spl
    | gt(n0,n0) ),
    inference(component_clause,[status(thm)],[f350]) ).

fof(f360,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f349,f170]) ).

fof(f361,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f360]) ).

fof(f362,plain,
    ( sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f343,f170]) ).

fof(f363,plain,
    sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f362]) ).

fof(f384,plain,
    ! [X0] :
      ( sQ0_spl
      | gt(X0,n0)
      | releaselg(sK11_skl(X0)) ),
    inference(resolution,[status(thm)],[f148,f326]) ).

fof(f385,plain,
    ! [X0,X1] :
      ( sQ0_spl
      | gt(X1,sK11_skl(X0))
      | ~ drugbg(sK2_skl(X1))
      | gt(X0,n0) ),
    inference(resolution,[status(thm)],[f384,f71]) ).

fof(f386,plain,
    ! [X0,X1] :
      ( sQ0_spl
      | gt(X1,sK11_skl(X0))
      | ~ gt(X1,sK2_skl(X1))
      | gt(X0,n0) ),
    inference(resolution,[status(thm)],[f384,f70]) ).

fof(f387,plain,
    ! [X0,X1,X2] :
      ( sQ0_spl
      | gt(X2,n0)
      | ~ gt(X2,X1)
      | gt(X0,sK11_skl(X1))
      | ~ drugbg(sK2_skl(X0)) ),
    inference(resolution,[status(thm)],[f385,f46]) ).

fof(f388,plain,
    ! [X0] :
      ( sQ0_spl
      | gt(X0,sK11_skl(n0))
      | ~ drugbg(sK2_skl(X0)) ),
    inference(resolution,[status(thm)],[f385,f43]) ).

fof(f418,plain,
    ! [X0,X1] :
      ( ~ conditionhyper(X1)
      | s2(sK13_skl(X0))
      | gt(X0,X1)
      | ~ s1(X0) ),
    inference(resolution,[status(thm)],[f157,f53]) ).

fof(f419,plain,
    ! [X0,X1] :
      ( ~ conditionhyper(X1)
      | bcapacityex(sK13_skl(X0))
      | bcapacityne(sK13_skl(X0))
      | gt(X0,X1)
      | ~ s1(X0) ),
    inference(resolution,[status(thm)],[f159,f53]) ).

fof(f423,plain,
    ! [X0,X1] :
      ( ~ bcapacityex(sK13_skl(X0))
      | sP8_prd(sK15_skl(sK13_skl(X0)),sK13_skl(X0))
      | gt(n0,sK13_skl(X0))
      | ~ conditionhyper(X1)
      | gt(X0,X1)
      | ~ s1(X0) ),
    inference(resolution,[status(thm)],[f418,f175]) ).

fof(f432,plain,
    ! [X0,X1] :
      ( gt(sK13_skl(X0),sK15_skl(sK13_skl(X0)))
      | ~ bcapacityex(sK13_skl(X0))
      | gt(n0,sK13_skl(X0))
      | ~ conditionhyper(X1)
      | gt(X0,X1)
      | ~ s1(X0) ),
    inference(resolution,[status(thm)],[f423,f240]) ).

fof(f433,plain,
    ! [X0,X1] :
      ( ~ conditionhyper(sK15_skl(sK13_skl(X0)))
      | ~ bcapacityex(sK13_skl(X0))
      | gt(n0,sK13_skl(X0))
      | ~ conditionhyper(X1)
      | gt(X0,X1)
      | ~ s1(X0) ),
    inference(resolution,[status(thm)],[f423,f241]) ).

fof(f446,definition,
    ( sQ10_spl
  <=> sP6_prd(n0) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f448,plain,
    ( sQ10_spl
    | ~ sP6_prd(n0) ),
    inference(component_clause,[status(thm)],[f446]) ).

fof(f458,plain,
    ! [X0] :
      ( sQ10_spl
      | uptakepg(X0)
      | gt(n0,X0)
      | sP5_prd(sK7_skl(n0),n0) ),
    inference(resolution,[status(thm)],[f448,f109]) ).

fof(f471,definition,
    ( sQ15_spl
  <=> sP5_prd(sK7_skl(n0),n0) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f472,plain,
    ( ~ sQ15_spl
    | sP5_prd(sK7_skl(n0),n0) ),
    inference(component_clause,[status(thm)],[f471]) ).

fof(f479,definition,
    ! [X0] :
      ( sQ17_spl
    <=> ( uptakepg(X0)
        | gt(n0,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f480,plain,
    ! [X0] :
      ( ~ sQ17_spl
      | uptakepg(X0)
      | gt(n0,X0) ),
    inference(component_clause,[status(thm)],[f479]) ).

fof(f482,plain,
    ( sQ10_spl
    | sQ17_spl
    | sQ15_spl ),
    inference(split_clause,[status(thm)],[f458,f471,f479,f446]) ).

fof(f483,definition,
    ! [X0] :
      ( sQ18_spl
    <=> ( uptakelg(X0)
        | gt(n0,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f484,plain,
    ! [X0] :
      ( ~ sQ18_spl
      | uptakelg(X0)
      | gt(n0,X0) ),
    inference(component_clause,[status(thm)],[f483]) ).

fof(f489,definition,
    ( sQ19_spl
  <=> sP10_prd(n0) ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f490,plain,
    ( ~ sQ19_spl
    | sP10_prd(n0) ),
    inference(component_clause,[status(thm)],[f489]) ).

fof(f493,plain,
    ! [X0,X1] :
      ( conditionnormo(X1)
      | gt(n0,X1)
      | ~ s1(n0)
      | ~ conditionhyper(sK15_skl(sK13_skl(n0)))
      | ~ bcapacityex(sK13_skl(n0))
      | ~ conditionhyper(X0)
      | gt(n0,X0)
      | ~ s1(n0) ),
    inference(resolution,[status(thm)],[f433,f156]) ).

fof(f494,plain,
    ! [X0,X1,X2] :
      ( sQ0_spl
      | gt(n0,n0)
      | gt(X2,sK11_skl(sK13_skl(X0)))
      | ~ drugbg(sK2_skl(X2))
      | ~ conditionhyper(sK15_skl(sK13_skl(X0)))
      | ~ bcapacityex(sK13_skl(X0))
      | ~ conditionhyper(X1)
      | gt(X0,X1)
      | ~ s1(X0) ),
    inference(resolution,[status(thm)],[f433,f387]) ).

fof(f496,definition,
    ! [X0] :
      ( sQ20_spl
    <=> ( ~ conditionhyper(X0)
        | gt(n0,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f497,plain,
    ! [X0] :
      ( ~ sQ20_spl
      | ~ conditionhyper(X0)
      | gt(n0,X0) ),
    inference(component_clause,[status(thm)],[f496]) ).

fof(f499,definition,
    ( sQ21_spl
  <=> bcapacityex(sK13_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f501,plain,
    ( sQ21_spl
    | ~ bcapacityex(sK13_skl(n0)) ),
    inference(component_clause,[status(thm)],[f499]) ).

fof(f502,definition,
    ( sQ22_spl
  <=> conditionhyper(sK15_skl(sK13_skl(n0))) ),
    introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).

fof(f504,plain,
    ( sQ22_spl
    | ~ conditionhyper(sK15_skl(sK13_skl(n0))) ),
    inference(component_clause,[status(thm)],[f502]) ).

fof(f505,definition,
    ! [X1] :
      ( sQ23_spl
    <=> ( conditionnormo(X1)
        | gt(n0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).

fof(f506,plain,
    ! [X0] :
      ( ~ sQ23_spl
      | conditionnormo(X0)
      | gt(n0,X0) ),
    inference(component_clause,[status(thm)],[f505]) ).

fof(f508,plain,
    ( sQ23_spl
    | ~ sQ22_spl
    | ~ sQ21_spl
    | sQ20_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f493,f341,f496,f499,f502,f505]) ).

fof(f509,definition,
    ! [X0,X1,X2] :
      ( sQ24_spl
    <=> ( gt(X2,sK11_skl(sK13_skl(X0)))
        | ~ drugbg(sK2_skl(X2))
        | ~ conditionhyper(sK15_skl(sK13_skl(X0)))
        | ~ bcapacityex(sK13_skl(X0))
        | ~ conditionhyper(X1)
        | gt(X0,X1)
        | ~ s1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).

fof(f512,plain,
    ( sQ0_spl
    | sQ5_spl
    | sQ24_spl ),
    inference(split_clause,[status(thm)],[f494,f509,f350,f324]) ).

fof(f513,plain,
    ( ~ sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f351,f43]) ).

fof(f514,plain,
    ~ sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f513]) ).

fof(f537,plain,
    ! [X0,X1] :
      ( conditionhyper(X1)
      | ~ gt(X0,X1)
      | ~ sP6_prd(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f229,f538]) ).

fof(f538,plain,
    ! [X0,X1] :
      ( conditionhyper(X1)
      | ~ gt(X0,X1)
      | ~ sP10_prd(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f260,f279]) ).

fof(f540,plain,
    ! [X0,X1] :
      ( conditionhyper(X1)
      | ~ gt(X0,X1)
      | sP5_prd(sK7_skl(X0),X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f111,f537]) ).

fof(f557,plain,
    ! [X0,X1] :
      ( sQ22_spl
      | ~ gt(sK13_skl(X0),sK15_skl(sK13_skl(n0)))
      | conditionnormo(X1)
      | gt(X0,X1)
      | ~ s1(X0) ),
    inference(resolution,[status(thm)],[f504,f158]) ).

fof(f568,plain,
    ! [X0] :
      ( sQ21_spl
      | ~ conditionhyper(X0)
      | bcapacityne(sK13_skl(n0))
      | gt(n0,X0)
      | ~ s1(n0) ),
    inference(resolution,[status(thm)],[f501,f419]) ).

fof(f576,definition,
    ( sQ29_spl
  <=> bcapacityne(sK13_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).

fof(f577,plain,
    ( ~ sQ29_spl
    | bcapacityne(sK13_skl(n0)) ),
    inference(component_clause,[status(thm)],[f576]) ).

fof(f579,plain,
    ( sQ21_spl
    | sQ29_spl
    | sQ20_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f568,f341,f496,f576,f499]) ).

fof(f623,plain,
    ( ~ sQ29_spl
    | sP8_prd(sK15_skl(sK13_skl(n0)),sK13_skl(n0))
    | ~ s2(sK13_skl(n0))
    | gt(n0,sK13_skl(n0)) ),
    inference(resolution,[status(thm)],[f577,f174]) ).

fof(f625,definition,
    ( sQ38_spl
  <=> sP14_prd(sK13_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).

fof(f626,plain,
    ( ~ sQ38_spl
    | sP14_prd(sK13_skl(n0)) ),
    inference(component_clause,[status(thm)],[f625]) ).

fof(f636,definition,
    ( sQ41_spl
  <=> sP9_prd(sK13_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).

fof(f638,plain,
    ( sQ41_spl
    | ~ sP9_prd(sK13_skl(n0)) ),
    inference(component_clause,[status(thm)],[f636]) ).

fof(f666,definition,
    ( sQ48_spl
  <=> gt(n0,sK13_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).

fof(f667,plain,
    ( ~ sQ48_spl
    | gt(n0,sK13_skl(n0)) ),
    inference(component_clause,[status(thm)],[f666]) ).

fof(f669,definition,
    ( sQ49_spl
  <=> s2(sK13_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).

fof(f670,plain,
    ( ~ sQ49_spl
    | s2(sK13_skl(n0)) ),
    inference(component_clause,[status(thm)],[f669]) ).

fof(f671,plain,
    ( sQ49_spl
    | ~ s2(sK13_skl(n0)) ),
    inference(component_clause,[status(thm)],[f669]) ).

fof(f672,definition,
    ( sQ50_spl
  <=> sP8_prd(sK15_skl(sK13_skl(n0)),sK13_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).

fof(f673,plain,
    ( ~ sQ50_spl
    | sP8_prd(sK15_skl(sK13_skl(n0)),sK13_skl(n0)) ),
    inference(component_clause,[status(thm)],[f672]) ).

fof(f675,plain,
    ( ~ sQ29_spl
    | sQ50_spl
    | ~ sQ49_spl
    | sQ48_spl ),
    inference(split_clause,[status(thm)],[f623,f666,f669,f672,f576]) ).

fof(f690,plain,
    ( ~ sQ19_spl
    | sP6_prd(n0) ),
    inference(resolution,[status(thm)],[f490,f230]) ).

fof(f691,definition,
    ( sQ54_spl
  <=> sP12_prd(n0) ),
    introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).

fof(f692,plain,
    ( ~ sQ54_spl
    | sP12_prd(n0) ),
    inference(component_clause,[status(thm)],[f691]) ).

fof(f693,plain,
    ( sQ54_spl
    | ~ sP12_prd(n0) ),
    inference(component_clause,[status(thm)],[f691]) ).

fof(f694,definition,
    ( sQ55_spl
  <=> sP13_prd(n0) ),
    introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).

fof(f695,plain,
    ( ~ sQ55_spl
    | sP13_prd(n0) ),
    inference(component_clause,[status(thm)],[f694]) ).

fof(f698,plain,
    ( ~ sQ19_spl
    | sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f690,f448]) ).

fof(f699,plain,
    ( ~ sQ19_spl
    | sQ10_spl ),
    inference(contradiction_clause,[status(thm)],[f698]) ).

fof(f774,plain,
    ( ~ sQ54_spl
    | sP15_prd(n0) ),
    inference(resolution,[status(thm)],[f692,f278]) ).

fof(f779,plain,
    ( ~ sQ55_spl
    | ~ qilt27(n0) ),
    inference(resolution,[status(thm)],[f695,f287]) ).

fof(f789,plain,
    ( ~ sQ55_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f779,f173]) ).

fof(f790,plain,
    ~ sQ55_spl,
    inference(contradiction_clause,[status(thm)],[f789]) ).

fof(f817,plain,
    ( ~ sQ54_spl
    | bcapacitysn(n0) ),
    inference(resolution,[status(thm)],[f774,f303]) ).

fof(f826,plain,
    ( ~ sQ54_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f817,f172]) ).

fof(f827,plain,
    ~ sQ54_spl,
    inference(contradiction_clause,[status(thm)],[f826]) ).

fof(f881,definition,
    ( sQ85_spl
  <=> sP13_prd(sK13_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).

fof(f882,plain,
    ( ~ sQ85_spl
    | sP13_prd(sK13_skl(n0)) ),
    inference(component_clause,[status(thm)],[f881]) ).

fof(f962,plain,
    ( ~ sQ29_spl
    | ~ bcapacitysn(sK13_skl(n0)) ),
    inference(resolution,[status(thm)],[f577,f49]) ).

fof(f982,definition,
    ( sQ94_spl
  <=> sP10_prd(sK13_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).

fof(f983,plain,
    ( ~ sQ94_spl
    | sP10_prd(sK13_skl(n0)) ),
    inference(component_clause,[status(thm)],[f982]) ).

fof(f1005,plain,
    ! [X0,X1,X2] :
      ( ~ sQ20_spl
      | ~ gt(sK14_skl(X1),X0)
      | conditionnormo(X2)
      | gt(X1,X2)
      | ~ s2(X1)
      | gt(n0,X0) ),
    inference(resolution,[status(thm)],[f497,f164]) ).

fof(f1006,plain,
    ! [X0,X1,X2] :
      ( ~ sQ20_spl
      | ~ gt(sK13_skl(X1),X0)
      | conditionnormo(X2)
      | gt(X1,X2)
      | ~ s1(X1)
      | gt(n0,X0) ),
    inference(resolution,[status(thm)],[f497,f158]) ).

fof(f1011,plain,
    ( ~ sQ94_spl
    | sP13_prd(sK13_skl(n0))
    | sP12_prd(sK13_skl(n0)) ),
    inference(resolution,[status(thm)],[f983,f259]) ).

fof(f1013,definition,
    ( sQ97_spl
  <=> sP12_prd(sK13_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).

fof(f1014,plain,
    ( ~ sQ97_spl
    | sP12_prd(sK13_skl(n0)) ),
    inference(component_clause,[status(thm)],[f1013]) ).

fof(f1016,plain,
    ( ~ sQ94_spl
    | sQ85_spl
    | sQ97_spl ),
    inference(split_clause,[status(thm)],[f1011,f1013,f881,f982]) ).

fof(f1043,plain,
    ( ~ sQ97_spl
    | sP15_prd(sK13_skl(n0)) ),
    inference(resolution,[status(thm)],[f1014,f278]) ).

fof(f1044,plain,
    ( ~ sQ97_spl
    | sP10_prd(sK13_skl(n0)) ),
    inference(resolution,[status(thm)],[f1014,f261]) ).

fof(f1108,plain,
    ( ~ sQ97_spl
    | bcapacitysn(sK13_skl(n0)) ),
    inference(resolution,[status(thm)],[f1043,f303]) ).

fof(f1109,definition,
    ( sQ99_spl
  <=> gt(sK13_skl(n0),sK26_skl(sK13_skl(n0))) ),
    introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).

fof(f1110,plain,
    ( ~ sQ99_spl
    | gt(sK13_skl(n0),sK26_skl(sK13_skl(n0))) ),
    inference(component_clause,[status(thm)],[f1109]) ).

fof(f1113,definition,
    ( sQ100_spl
  <=> conditionhyper(sK26_skl(sK13_skl(n0))) ),
    introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).

fof(f1115,plain,
    ( sQ100_spl
    | ~ conditionhyper(sK26_skl(sK13_skl(n0))) ),
    inference(component_clause,[status(thm)],[f1113]) ).

fof(f1117,plain,
    ( ~ sQ97_spl
    | ~ sQ29_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1108,f962]) ).

fof(f1118,plain,
    ( ~ sQ97_spl
    | ~ sQ29_spl ),
    inference(contradiction_clause,[status(thm)],[f1117]) ).

fof(f1125,plain,
    ! [X0] :
      ( ~ sQ48_spl
      | conditionnormo(X0)
      | gt(n0,X0)
      | ~ s1(n0) ),
    inference(resolution,[status(thm)],[f667,f156]) ).

fof(f1132,plain,
    ( ~ sQ48_spl
    | sQ23_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f1125,f341,f505,f666]) ).

fof(f1182,plain,
    ! [X0,X1,X2] :
      ( sP10_prd(X0)
      | ~ sP6_prd(X0)
      | uptakepg(X2)
      | gt(X0,X2)
      | ~ releaselg(X1)
      | gt(X0,X1) ),
    inference(resolution,[status(thm)],[f293,f317]) ).

fof(f1184,plain,
    ! [X0,X1] :
      ( ~ sQ38_spl
      | uptakepg(X1)
      | gt(sK13_skl(n0),X1)
      | ~ releaselg(X0)
      | gt(sK13_skl(n0),X0) ),
    inference(resolution,[status(thm)],[f626,f293]) ).

fof(f1187,definition,
    ! [X0] :
      ( sQ103_spl
    <=> ( ~ releaselg(X0)
        | gt(sK13_skl(n0),X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).

fof(f1188,plain,
    ! [X0] :
      ( ~ sQ103_spl
      | ~ releaselg(X0)
      | gt(sK13_skl(n0),X0) ),
    inference(component_clause,[status(thm)],[f1187]) ).

fof(f1190,definition,
    ! [X1] :
      ( sQ104_spl
    <=> ( uptakepg(X1)
        | gt(sK13_skl(n0),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).

fof(f1191,plain,
    ! [X0] :
      ( ~ sQ104_spl
      | uptakepg(X0)
      | gt(sK13_skl(n0),X0) ),
    inference(component_clause,[status(thm)],[f1190]) ).

fof(f1193,plain,
    ( ~ sQ38_spl
    | sQ104_spl
    | sQ103_spl ),
    inference(split_clause,[status(thm)],[f1184,f1187,f1190,f625]) ).

fof(f1216,plain,
    ! [X0,X1] :
      ( ~ conditionnormo(sK7_skl(X0))
      | conditionhyper(X1)
      | ~ gt(X0,X1) ),
    inference(resolution,[status(thm)],[f540,f219]) ).

fof(f1329,plain,
    ! [X0,X1] :
      ( sQ0_spl
      | gt(X1,sK11_skl(X0))
      | ~ drugbg(sK2_skl(X1))
      | ~ conditionnormo(sK7_skl(X0))
      | conditionhyper(n0) ),
    inference(resolution,[status(thm)],[f1216,f385]) ).

fof(f1334,definition,
    ( sQ114_spl
  <=> conditionnormo(sK7_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).

fof(f1336,plain,
    ( sQ114_spl
    | ~ conditionnormo(sK7_skl(n0)) ),
    inference(component_clause,[status(thm)],[f1334]) ).

fof(f1338,definition,
    ( sQ115_spl
  <=> conditionhyper(n0) ),
    introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).

fof(f1339,plain,
    ( ~ sQ115_spl
    | conditionhyper(n0) ),
    inference(component_clause,[status(thm)],[f1338]) ).

fof(f1341,definition,
    ! [X0,X1] :
      ( sQ116_spl
    <=> ( gt(X1,sK11_skl(X0))
        | ~ drugbg(sK2_skl(X1))
        | ~ conditionnormo(sK7_skl(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).

fof(f1344,plain,
    ( sQ0_spl
    | sQ116_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f1329,f1338,f1341,f324]) ).

fof(f1345,plain,
    ( ~ sQ20_spl
    | ~ sQ115_spl
    | gt(n0,n0) ),
    inference(resolution,[status(thm)],[f1339,f497]) ).

fof(f1346,plain,
    ( ~ sQ20_spl
    | ~ sQ115_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f1345,f350,f1338,f496]) ).

fof(f1437,plain,
    ! [X0,X1,X2,X3] :
      ( drugi(X3)
      | gt(X2,X3)
      | sP10_prd(X0)
      | ~ sP6_prd(X0)
      | gt(X0,sK9_skl(X2))
      | ~ releaselg(X1)
      | gt(X0,X1) ),
    inference(resolution,[status(thm)],[f1182,f135]) ).

fof(f1453,plain,
    ! [X0] :
      ( sQ114_spl
      | bcapacityex(sK13_skl(X0))
      | bcapacityne(sK13_skl(X0))
      | gt(X0,sK7_skl(n0))
      | ~ s1(X0) ),
    inference(resolution,[status(thm)],[f1336,f159]) ).

fof(f1454,plain,
    ! [X0] :
      ( sQ114_spl
      | s2(sK13_skl(X0))
      | gt(X0,sK7_skl(n0))
      | ~ s1(X0) ),
    inference(resolution,[status(thm)],[f1336,f157]) ).

fof(f1477,plain,
    ! [X0] :
      ( sQ0_spl
      | ~ sQ103_spl
      | gt(X0,n0)
      | gt(sK13_skl(n0),sK11_skl(X0)) ),
    inference(resolution,[status(thm)],[f1188,f384]) ).

fof(f1483,plain,
    ! [X0,X1] :
      ( ~ sQ104_spl
      | drugi(X1)
      | gt(X0,X1)
      | gt(sK13_skl(n0),sK9_skl(X0)) ),
    inference(resolution,[status(thm)],[f1191,f135]) ).

fof(f1539,plain,
    ! [X0,X1,X2,X3] :
      ( s3(X3)
      | gt(X2,X3)
      | sP10_prd(X0)
      | ~ sP6_prd(X0)
      | gt(X0,sK9_skl(X2))
      | ~ releaselg(X1)
      | gt(X0,X1) ),
    inference(resolution,[status(thm)],[f1437,f129]) ).

fof(f1556,plain,
    ( ~ sQ50_spl
    | gt(sK13_skl(n0),sK15_skl(sK13_skl(n0))) ),
    inference(resolution,[status(thm)],[f673,f240]) ).

fof(f1751,plain,
    ! [X0,X1,X2,X3] :
      ( sP13_prd(X0)
      | sP12_prd(X0)
      | s3(X3)
      | gt(X2,X3)
      | ~ sP6_prd(X0)
      | gt(X0,sK9_skl(X2))
      | ~ releaselg(X1)
      | gt(X0,X1) ),
    inference(resolution,[status(thm)],[f1539,f259]) ).

fof(f1753,definition,
    ! [X0] :
      ( sQ135_spl
    <=> ( ~ releaselg(X0)
        | gt(n0,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).

fof(f1754,plain,
    ! [X0] :
      ( ~ sQ135_spl
      | ~ releaselg(X0)
      | gt(n0,X0) ),
    inference(component_clause,[status(thm)],[f1753]) ).

fof(f1756,definition,
    ! [X1,X2] :
      ( sQ136_spl
    <=> ( s3(X2)
        | gt(X1,X2)
        | gt(n0,sK9_skl(X1)) ) ),
    introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).

fof(f1757,plain,
    ! [X0,X1] :
      ( ~ sQ136_spl
      | s3(X1)
      | gt(X0,X1)
      | gt(n0,sK9_skl(X0)) ),
    inference(component_clause,[status(thm)],[f1756]) ).

fof(f1760,plain,
    ! [X0,X1,X2,X3] :
      ( sP12_prd(X0)
      | s3(X3)
      | gt(X2,X3)
      | ~ sP6_prd(X0)
      | gt(X0,sK9_skl(X2))
      | ~ releaselg(X1)
      | gt(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1751,f285]) ).

fof(f1792,plain,
    ! [X0,X1] :
      ( ~ sQ18_spl
      | drugi(X1)
      | gt(X0,X1)
      | gt(n0,sK8_skl(X0)) ),
    inference(resolution,[status(thm)],[f484,f133]) ).

fof(f1796,plain,
    ! [X0,X1] :
      ( ~ sQ17_spl
      | drugi(X1)
      | gt(X0,X1)
      | gt(n0,sK9_skl(X0)) ),
    inference(resolution,[status(thm)],[f480,f135]) ).

fof(f1813,plain,
    ! [X0] :
      ( sQ0_spl
      | ~ sQ135_spl
      | gt(X0,n0)
      | gt(n0,sK11_skl(X0)) ),
    inference(resolution,[status(thm)],[f1754,f384]) ).

fof(f1818,plain,
    ! [X0,X1,X2] :
      ( sQ0_spl
      | ~ sQ20_spl
      | gt(X2,sK11_skl(sK14_skl(X0)))
      | ~ drugbg(sK2_skl(X2))
      | conditionnormo(X1)
      | gt(X0,X1)
      | ~ s2(X0)
      | gt(n0,n0) ),
    inference(resolution,[status(thm)],[f1005,f385]) ).

fof(f1819,definition,
    ! [X0,X1,X2] :
      ( sQ137_spl
    <=> ( gt(X2,sK11_skl(sK14_skl(X0)))
        | ~ drugbg(sK2_skl(X2))
        | conditionnormo(X1)
        | gt(X0,X1)
        | ~ s2(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).

fof(f1822,plain,
    ( sQ0_spl
    | ~ sQ20_spl
    | sQ137_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f1818,f350,f1819,f496,f324]) ).

fof(f1829,plain,
    ( ~ sQ49_spl
    | ~ bcapacityex(sK13_skl(n0))
    | sP8_prd(sK15_skl(sK13_skl(n0)),sK13_skl(n0))
    | gt(n0,sK13_skl(n0)) ),
    inference(resolution,[status(thm)],[f670,f175]) ).

fof(f1842,plain,
    ( ~ sQ49_spl
    | ~ sQ21_spl
    | sQ50_spl
    | sQ48_spl ),
    inference(split_clause,[status(thm)],[f1829,f666,f672,f499,f669]) ).

fof(f1849,definition,
    ( sQ142_spl
  <=> s3(sK13_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).

fof(f1850,plain,
    ( ~ sQ142_spl
    | s3(sK13_skl(n0)) ),
    inference(component_clause,[status(thm)],[f1849]) ).

fof(f1915,plain,
    ! [X0] :
      ( sQ0_spl
      | ~ sQ135_spl
      | drugbg(X0)
      | gt(n0,X0)
      | gt(n0,n0) ),
    inference(resolution,[status(thm)],[f1813,f147]) ).

fof(f1919,definition,
    ! [X0] :
      ( sQ149_spl
    <=> ( drugbg(X0)
        | gt(n0,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).

fof(f1920,plain,
    ! [X0] :
      ( ~ sQ149_spl
      | drugbg(X0)
      | gt(n0,X0) ),
    inference(component_clause,[status(thm)],[f1919]) ).

fof(f1922,plain,
    ( sQ0_spl
    | ~ sQ135_spl
    | sQ149_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f1915,f350,f1919,f1753,f324]) ).

fof(f1942,plain,
    ( sQ0_spl
    | ~ sQ149_spl
    | gt(n0,n0) ),
    inference(resolution,[status(thm)],[f1920,f326]) ).

fof(f1943,plain,
    ( sQ0_spl
    | ~ sQ149_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f1942,f350,f1919,f324]) ).

fof(f1961,plain,
    ( ~ sQ50_spl
    | ~ conditionhyper(sK15_skl(sK13_skl(n0))) ),
    inference(resolution,[status(thm)],[f673,f241]) ).

fof(f1988,definition,
    ( sQ153_spl
  <=> bcapacitysn(n0) ),
    introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).

fof(f1989,plain,
    ( ~ sQ153_spl
    | bcapacitysn(n0) ),
    inference(component_clause,[status(thm)],[f1988]) ).

fof(f2004,plain,
    ( ~ sQ153_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1989,f172]) ).

fof(f2005,plain,
    ~ sQ153_spl,
    inference(contradiction_clause,[status(thm)],[f2004]) ).

fof(f2149,plain,
    ! [X0,X1] :
      ( ~ sQ136_spl
      | drugi(X1)
      | gt(n0,X1)
      | s3(X0)
      | gt(n0,X0) ),
    inference(resolution,[status(thm)],[f1757,f134]) ).

fof(f2153,definition,
    ! [X0] :
      ( sQ166_spl
    <=> ( s3(X0)
        | gt(n0,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).

fof(f2154,plain,
    ! [X0] :
      ( ~ sQ166_spl
      | s3(X0)
      | gt(n0,X0) ),
    inference(component_clause,[status(thm)],[f2153]) ).

fof(f2156,definition,
    ! [X1] :
      ( sQ167_spl
    <=> ( drugi(X1)
        | gt(n0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).

fof(f2157,plain,
    ! [X0] :
      ( ~ sQ167_spl
      | drugi(X0)
      | gt(n0,X0) ),
    inference(component_clause,[status(thm)],[f2156]) ).

fof(f2159,plain,
    ( ~ sQ136_spl
    | sQ167_spl
    | sQ166_spl ),
    inference(split_clause,[status(thm)],[f2149,f2153,f2156,f1756]) ).

fof(f2160,definition,
    ! [X0,X1] :
      ( sQ168_spl
    <=> ( conditionhyper(sK9_skl(X0))
        | s3(X1)
        | gt(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).

fof(f2161,plain,
    ! [X0,X1] :
      ( ~ sQ168_spl
      | conditionhyper(sK9_skl(X0))
      | s3(X1)
      | gt(X0,X1) ),
    inference(component_clause,[status(thm)],[f2160]) ).

fof(f2174,plain,
    ! [X0] :
      ( ~ sQ167_spl
      | s3(X0)
      | gt(n0,X0) ),
    inference(resolution,[status(thm)],[f2157,f129]) ).

fof(f2175,plain,
    ( sQ2_spl
    | ~ sQ166_spl
    | gt(n0,n0) ),
    inference(resolution,[status(thm)],[f2154,f332]) ).

fof(f2179,plain,
    ( sQ2_spl
    | ~ sQ166_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f2175,f350,f2153,f330]) ).

fof(f2182,plain,
    ( sQ2_spl
    | ~ sQ167_spl
    | gt(n0,n0) ),
    inference(resolution,[status(thm)],[f2174,f332]) ).

fof(f2186,plain,
    ( sQ2_spl
    | ~ sQ167_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f2182,f350,f2156,f330]) ).

fof(f2188,plain,
    ! [X0,X1] :
      ( ~ sQ18_spl
      | s3(X1)
      | gt(X0,X1)
      | gt(n0,sK8_skl(X0)) ),
    inference(resolution,[status(thm)],[f1792,f129]) ).

fof(f2190,plain,
    ! [X0,X1] :
      ( ~ sQ17_spl
      | s3(X1)
      | gt(X0,X1)
      | gt(n0,sK9_skl(X0)) ),
    inference(resolution,[status(thm)],[f1796,f129]) ).

fof(f2191,plain,
    ( ~ sQ17_spl
    | sQ136_spl ),
    inference(split_clause,[status(thm)],[f2190,f1756,f479]) ).

fof(f2212,plain,
    ! [X0,X1,X2] :
      ( sQ54_spl
      | s3(X2)
      | gt(X1,X2)
      | ~ sP6_prd(n0)
      | gt(n0,sK9_skl(X1))
      | ~ releaselg(X0)
      | gt(n0,X0) ),
    inference(resolution,[status(thm)],[f1760,f693]) ).

fof(f2216,plain,
    ( sQ54_spl
    | ~ sQ10_spl
    | sQ136_spl
    | sQ135_spl ),
    inference(split_clause,[status(thm)],[f2212,f1753,f1756,f446,f691]) ).

fof(f2224,plain,
    ! [X0,X1] :
      ( ~ sQ18_spl
      | drugi(X1)
      | gt(n0,X1)
      | s3(X0)
      | gt(n0,X0) ),
    inference(resolution,[status(thm)],[f2188,f132]) ).

fof(f2228,plain,
    ( ~ sQ18_spl
    | sQ167_spl
    | sQ166_spl ),
    inference(split_clause,[status(thm)],[f2224,f2153,f2156,f483]) ).

fof(f2229,definition,
    ! [X0,X1] :
      ( sQ171_spl
    <=> ( conditionhyper(sK8_skl(X0))
        | s3(X1)
        | gt(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).

fof(f2230,plain,
    ! [X0,X1] :
      ( ~ sQ171_spl
      | conditionhyper(sK8_skl(X0))
      | s3(X1)
      | gt(X0,X1) ),
    inference(component_clause,[status(thm)],[f2229]) ).

fof(f2237,plain,
    ! [X0] :
      ( ~ sQ50_spl
      | sQ22_spl
      | conditionnormo(X0)
      | gt(n0,X0)
      | ~ s1(n0) ),
    inference(resolution,[status(thm)],[f557,f1556]) ).

fof(f2238,plain,
    ! [X0,X1] :
      ( sQ22_spl
      | ~ bcapacityex(sK13_skl(n0))
      | gt(n0,sK13_skl(n0))
      | ~ conditionhyper(X1)
      | gt(n0,X1)
      | ~ s1(n0)
      | conditionnormo(X0)
      | gt(n0,X0)
      | ~ s1(n0) ),
    inference(resolution,[status(thm)],[f557,f432]) ).

fof(f2239,plain,
    ( ~ sQ50_spl
    | sQ22_spl
    | sQ23_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f2237,f341,f505,f502,f672]) ).

fof(f2240,plain,
    ( sQ22_spl
    | ~ sQ21_spl
    | sQ48_spl
    | sQ20_spl
    | sQ23_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f2238,f341,f505,f496,f666,f499,f502]) ).

fof(f2269,plain,
    ( sQ114_spl
    | sQ49_spl
    | gt(n0,sK7_skl(n0))
    | ~ s1(n0) ),
    inference(resolution,[status(thm)],[f671,f1454]) ).

fof(f2277,definition,
    ( sQ174_spl
  <=> gt(n0,sK7_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).

fof(f2280,plain,
    ( sQ114_spl
    | sQ49_spl
    | sQ174_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f2269,f341,f2277,f669,f1334]) ).

fof(f2284,plain,
    ( ~ sQ50_spl
    | ~ sQ22_spl ),
    inference(split_clause,[status(thm)],[f1961,f502,f672]) ).

fof(f2302,plain,
    ! [X0,X1] :
      ( ~ sQ171_spl
      | ~ sQ20_spl
      | s3(X1)
      | gt(X0,X1)
      | gt(n0,sK8_skl(X0)) ),
    inference(resolution,[status(thm)],[f497,f2230]) ).

fof(f2303,plain,
    ! [X0,X1] :
      ( ~ sQ168_spl
      | ~ sQ20_spl
      | s3(X1)
      | gt(X0,X1)
      | gt(n0,sK9_skl(X0)) ),
    inference(resolution,[status(thm)],[f497,f2161]) ).

fof(f2313,plain,
    ( ~ sQ168_spl
    | ~ sQ20_spl
    | sQ136_spl ),
    inference(split_clause,[status(thm)],[f2303,f1756,f496,f2160]) ).

fof(f2330,plain,
    ( sQ114_spl
    | sQ21_spl
    | bcapacityne(sK13_skl(n0))
    | gt(n0,sK7_skl(n0))
    | ~ s1(n0) ),
    inference(resolution,[status(thm)],[f501,f1453]) ).

fof(f2341,plain,
    ( sQ114_spl
    | sQ21_spl
    | sQ29_spl
    | sQ174_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f2330,f341,f2277,f576,f499,f1334]) ).

fof(f2383,definition,
    ( sQ175_spl
  <=> sP15_prd(sK13_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).

fof(f2384,plain,
    ( ~ sQ175_spl
    | sP15_prd(sK13_skl(n0)) ),
    inference(component_clause,[status(thm)],[f2383]) ).

fof(f2402,plain,
    ( ~ sQ175_spl
    | gt(sK13_skl(n0),sK26_skl(sK13_skl(n0)))
    | sP12_prd(sK13_skl(n0)) ),
    inference(resolution,[status(thm)],[f2384,f280]) ).

fof(f2403,plain,
    ( ~ sQ175_spl
    | ~ conditionhyper(sK26_skl(sK13_skl(n0)))
    | sP12_prd(sK13_skl(n0)) ),
    inference(resolution,[status(thm)],[f2384,f281]) ).

fof(f2407,plain,
    ( ~ sQ175_spl
    | sQ99_spl
    | sQ97_spl ),
    inference(split_clause,[status(thm)],[f2402,f1013,f1109,f2383]) ).

fof(f2408,plain,
    ( ~ sQ175_spl
    | ~ sQ100_spl
    | sQ97_spl ),
    inference(split_clause,[status(thm)],[f2403,f1013,f1113,f2383]) ).

fof(f2428,plain,
    ( ~ sQ142_spl
    | ~ s2(sK13_skl(n0)) ),
    inference(resolution,[status(thm)],[f1850,f102]) ).

fof(f2430,plain,
    ( ~ sQ142_spl
    | ~ sQ49_spl ),
    inference(split_clause,[status(thm)],[f2428,f669,f1849]) ).

fof(f2451,plain,
    ! [X0,X1,X2] :
      ( ~ sQ20_spl
      | ~ bcapacityex(sK13_skl(X0))
      | gt(n0,sK13_skl(X0))
      | ~ conditionhyper(X2)
      | gt(X0,X2)
      | ~ s1(X0)
      | conditionnormo(X1)
      | gt(X0,X1)
      | ~ s1(X0)
      | gt(n0,sK15_skl(sK13_skl(X0))) ),
    inference(resolution,[status(thm)],[f1006,f432]) ).

fof(f2452,plain,
    ! [X0,X1,X2] :
      ( sQ0_spl
      | ~ sQ20_spl
      | gt(X2,sK11_skl(sK13_skl(X0)))
      | ~ drugbg(sK2_skl(X2))
      | conditionnormo(X1)
      | gt(X0,X1)
      | ~ s1(X0)
      | gt(n0,n0) ),
    inference(resolution,[status(thm)],[f1006,f385]) ).

fof(f2453,plain,
    ! [X0,X1,X2] :
      ( ~ sQ20_spl
      | ~ bcapacityex(sK13_skl(X0))
      | gt(n0,sK13_skl(X0))
      | ~ conditionhyper(X2)
      | gt(X0,X2)
      | conditionnormo(X1)
      | gt(X0,X1)
      | ~ s1(X0)
      | gt(n0,sK15_skl(sK13_skl(X0))) ),
    inference(duplicate_literals_removal,[status(thm)],[f2451]) ).

fof(f2454,definition,
    ! [X0,X1,X2] :
      ( sQ182_spl
    <=> ( gt(X2,sK11_skl(sK13_skl(X0)))
        | ~ drugbg(sK2_skl(X2))
        | conditionnormo(X1)
        | gt(X0,X1)
        | ~ s1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).

fof(f2457,plain,
    ( sQ0_spl
    | ~ sQ20_spl
    | sQ182_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f2452,f350,f2454,f496,f324]) ).

fof(f2486,plain,
    ( sQ100_spl
    | conditionnormo(sK26_skl(sK13_skl(n0)))
    | conditionhypo(sK26_skl(sK13_skl(n0))) ),
    inference(resolution,[status(thm)],[f1115,f51]) ).

fof(f2487,plain,
    ( sQ100_spl
    | ~ gt(n0,sK26_skl(sK13_skl(n0))) ),
    inference(resolution,[status(thm)],[f1115,f171]) ).

fof(f2488,definition,
    ( sQ183_spl
  <=> conditionhypo(sK26_skl(sK13_skl(n0))) ),
    introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).

fof(f2489,plain,
    ( ~ sQ183_spl
    | conditionhypo(sK26_skl(sK13_skl(n0))) ),
    inference(component_clause,[status(thm)],[f2488]) ).

fof(f2491,definition,
    ( sQ184_spl
  <=> conditionnormo(sK26_skl(sK13_skl(n0))) ),
    introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).

fof(f2494,plain,
    ( sQ100_spl
    | sQ184_spl
    | sQ183_spl ),
    inference(split_clause,[status(thm)],[f2486,f2488,f2491,f1113]) ).

fof(f2503,plain,
    ( ~ sQ183_spl
    | ~ conditionhyper(sK26_skl(sK13_skl(n0))) ),
    inference(resolution,[status(thm)],[f2489,f52]) ).

fof(f2516,plain,
    ! [X0] :
      ( ~ sQ20_spl
      | ~ sQ99_spl
      | conditionnormo(X0)
      | gt(n0,X0)
      | ~ s1(n0)
      | gt(n0,sK26_skl(sK13_skl(n0))) ),
    inference(resolution,[status(thm)],[f1110,f1006]) ).

fof(f2520,definition,
    ( sQ185_spl
  <=> gt(n0,sK26_skl(sK13_skl(n0))) ),
    introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).

fof(f2521,plain,
    ( ~ sQ185_spl
    | gt(n0,sK26_skl(sK13_skl(n0))) ),
    inference(component_clause,[status(thm)],[f2520]) ).

fof(f2523,plain,
    ( ~ sQ20_spl
    | ~ sQ99_spl
    | sQ23_spl
    | ~ sQ3_spl
    | sQ185_spl ),
    inference(split_clause,[status(thm)],[f2516,f2520,f341,f505,f1109,f496]) ).

fof(f2525,definition,
    ! [X0] :
      ( sQ186_spl
    <=> ( gt(X0,sK11_skl(sK26_skl(sK13_skl(n0))))
        | ~ drugbg(sK2_skl(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).

fof(f2529,plain,
    ( ~ sQ183_spl
    | ~ sQ100_spl ),
    inference(split_clause,[status(thm)],[f2503,f1113,f2488]) ).

fof(f2561,plain,
    ! [X0] :
      ( sQ0_spl
      | ~ sQ185_spl
      | gt(n0,n0)
      | gt(X0,sK11_skl(sK26_skl(sK13_skl(n0))))
      | ~ drugbg(sK2_skl(X0)) ),
    inference(resolution,[status(thm)],[f2521,f387]) ).

fof(f2564,plain,
    ( sQ0_spl
    | ~ sQ185_spl
    | sQ5_spl
    | sQ186_spl ),
    inference(split_clause,[status(thm)],[f2561,f2525,f350,f2520,f324]) ).

fof(f2582,plain,
    ! [X0,X1] :
      ( sQ41_spl
      | uptakepg(X1)
      | gt(sK13_skl(n0),X1)
      | ~ releaselg(X0)
      | gt(sK13_skl(n0),X0) ),
    inference(resolution,[status(thm)],[f638,f250]) ).

fof(f2586,plain,
    ( sQ41_spl
    | sQ104_spl
    | sQ103_spl ),
    inference(split_clause,[status(thm)],[f2582,f1187,f1190,f636]) ).

fof(f2632,plain,
    ( sQ114_spl
    | ~ sQ23_spl
    | gt(n0,sK7_skl(n0)) ),
    inference(resolution,[status(thm)],[f506,f1336]) ).

fof(f2636,plain,
    ( ~ sQ185_spl
    | sQ100_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2521,f2487]) ).

fof(f2637,plain,
    ( ~ sQ185_spl
    | sQ100_spl ),
    inference(contradiction_clause,[status(thm)],[f2636]) ).

fof(f2854,plain,
    ! [X0,X1] :
      ( ~ sQ171_spl
      | ~ sQ20_spl
      | drugi(X1)
      | gt(n0,X1)
      | s3(X0)
      | gt(n0,X0) ),
    inference(resolution,[status(thm)],[f2302,f132]) ).

fof(f2858,plain,
    ( ~ sQ171_spl
    | ~ sQ20_spl
    | sQ167_spl
    | sQ166_spl ),
    inference(split_clause,[status(thm)],[f2854,f2153,f2156,f496,f2229]) ).

fof(f3002,plain,
    ! [X0,X1] :
      ( ~ sQ104_spl
      | s3(X1)
      | gt(X0,X1)
      | gt(sK13_skl(n0),sK9_skl(X0)) ),
    inference(resolution,[status(thm)],[f1483,f129]) ).

fof(f3081,plain,
    ! [X0] :
      ( sQ2_spl
      | ~ sQ104_spl
      | gt(X0,n0)
      | gt(sK13_skl(n0),sK9_skl(X0)) ),
    inference(resolution,[status(thm)],[f3002,f332]) ).

fof(f3085,plain,
    ! [X0,X1] :
      ( ~ sQ20_spl
      | sQ2_spl
      | ~ sQ104_spl
      | conditionnormo(X1)
      | gt(n0,X1)
      | ~ s1(n0)
      | gt(n0,sK9_skl(X0))
      | gt(X0,n0) ),
    inference(resolution,[status(thm)],[f3081,f1006]) ).

fof(f3090,definition,
    ! [X0] :
      ( sQ207_spl
    <=> ( gt(n0,sK9_skl(X0))
        | gt(X0,n0) ) ),
    introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).

fof(f3091,plain,
    ! [X0] :
      ( ~ sQ207_spl
      | gt(n0,sK9_skl(X0))
      | gt(X0,n0) ),
    inference(component_clause,[status(thm)],[f3090]) ).

fof(f3093,plain,
    ( ~ sQ20_spl
    | sQ2_spl
    | ~ sQ104_spl
    | sQ23_spl
    | ~ sQ3_spl
    | sQ207_spl ),
    inference(split_clause,[status(thm)],[f3085,f3090,f341,f505,f1190,f330,f496]) ).

fof(f3094,definition,
    ! [X0] :
      ( sQ208_spl
    <=> ( drugi(X0)
        | gt(sK13_skl(n0),X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).

fof(f3095,plain,
    ! [X0] :
      ( ~ sQ208_spl
      | drugi(X0)
      | gt(sK13_skl(n0),X0) ),
    inference(component_clause,[status(thm)],[f3094]) ).

fof(f3107,plain,
    ! [X0] :
      ( ~ sQ208_spl
      | s3(X0)
      | gt(sK13_skl(n0),X0) ),
    inference(resolution,[status(thm)],[f3095,f129]) ).

fof(f3110,plain,
    ! [X0] :
      ( ~ sQ208_spl
      | ~ s2(X0)
      | gt(sK13_skl(n0),X0) ),
    inference(resolution,[status(thm)],[f3107,f102]) ).

fof(f3112,plain,
    ( ~ sQ49_spl
    | ~ sQ208_spl
    | gt(sK13_skl(n0),sK13_skl(n0)) ),
    inference(resolution,[status(thm)],[f3110,f670]) ).

fof(f3117,plain,
    ( ~ sQ49_spl
    | ~ sQ208_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3112,f43]) ).

fof(f3118,plain,
    ( ~ sQ49_spl
    | ~ sQ208_spl ),
    inference(contradiction_clause,[status(thm)],[f3117]) ).

fof(f3119,plain,
    ! [X0] :
      ( ~ sQ207_spl
      | drugi(X0)
      | gt(n0,X0)
      | gt(n0,n0) ),
    inference(resolution,[status(thm)],[f3091,f134]) ).

fof(f3123,plain,
    ( ~ sQ207_spl
    | sQ167_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f3119,f350,f2156,f3090]) ).

fof(f3344,plain,
    ! [X0] :
      ( ~ sQ85_spl
      | ~ releaselg(X0)
      | gt(sK13_skl(n0),X0) ),
    inference(resolution,[status(thm)],[f882,f285]) ).

fof(f3459,plain,
    ! [X0,X1,X2,X3] :
      ( sQ0_spl
      | ~ sQ20_spl
      | gt(n0,n0)
      | gt(X3,sK11_skl(sK15_skl(sK13_skl(X0))))
      | ~ drugbg(sK2_skl(X3))
      | ~ bcapacityex(sK13_skl(X0))
      | gt(n0,sK13_skl(X0))
      | ~ conditionhyper(X2)
      | gt(X0,X2)
      | conditionnormo(X1)
      | gt(X0,X1)
      | ~ s1(X0) ),
    inference(resolution,[status(thm)],[f2453,f387]) ).

fof(f3465,definition,
    ! [X0,X1,X2,X3] :
      ( sQ235_spl
    <=> ( gt(X3,sK11_skl(sK15_skl(sK13_skl(X0))))
        | ~ drugbg(sK2_skl(X3))
        | ~ bcapacityex(sK13_skl(X0))
        | gt(n0,sK13_skl(X0))
        | ~ conditionhyper(X2)
        | gt(X0,X2)
        | conditionnormo(X1)
        | gt(X0,X1)
        | ~ s1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).

fof(f3468,plain,
    ( sQ0_spl
    | ~ sQ20_spl
    | sQ5_spl
    | sQ235_spl ),
    inference(split_clause,[status(thm)],[f3459,f3465,f350,f496,f324]) ).

fof(f3472,plain,
    ! [X0,X1] :
      ( ~ sQ20_spl
      | sQ0_spl
      | ~ sQ103_spl
      | conditionnormo(X1)
      | gt(n0,X1)
      | ~ s1(n0)
      | gt(n0,sK11_skl(X0))
      | gt(X0,n0) ),
    inference(resolution,[status(thm)],[f1477,f1006]) ).

fof(f3477,definition,
    ! [X0] :
      ( sQ236_spl
    <=> ( gt(n0,sK11_skl(X0))
        | gt(X0,n0) ) ),
    introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).

fof(f3478,plain,
    ! [X0] :
      ( ~ sQ236_spl
      | gt(n0,sK11_skl(X0))
      | gt(X0,n0) ),
    inference(component_clause,[status(thm)],[f3477]) ).

fof(f3480,plain,
    ( ~ sQ20_spl
    | sQ0_spl
    | ~ sQ103_spl
    | sQ23_spl
    | ~ sQ3_spl
    | sQ236_spl ),
    inference(split_clause,[status(thm)],[f3472,f3477,f341,f505,f1187,f324,f496]) ).

fof(f3481,definition,
    ! [X0] :
      ( sQ237_spl
    <=> ( drugbg(X0)
        | gt(sK13_skl(n0),X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).

fof(f3482,plain,
    ! [X0] :
      ( ~ sQ237_spl
      | drugbg(X0)
      | gt(sK13_skl(n0),X0) ),
    inference(component_clause,[status(thm)],[f3481]) ).

fof(f3517,plain,
    ! [X0] :
      ( sQ0_spl
      | ~ sQ237_spl
      | gt(X0,sK11_skl(n0))
      | gt(sK13_skl(n0),sK2_skl(X0)) ),
    inference(resolution,[status(thm)],[f3482,f388]) ).

fof(f3534,plain,
    ! [X0] :
      ( ~ sQ236_spl
      | drugbg(X0)
      | gt(n0,X0)
      | gt(n0,n0) ),
    inference(resolution,[status(thm)],[f3478,f147]) ).

fof(f3538,plain,
    ( ~ sQ236_spl
    | sQ149_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f3534,f350,f1919,f3477]) ).

fof(f3541,plain,
    ( ~ sQ85_spl
    | sQ103_spl ),
    inference(split_clause,[status(thm)],[f3344,f1187,f881]) ).

fof(f3669,plain,
    ! [X0] :
      ( sQ0_spl
      | ~ sQ237_spl
      | drugbg(X0)
      | gt(n0,X0)
      | gt(sK13_skl(n0),sK2_skl(n0)) ),
    inference(resolution,[status(thm)],[f3517,f147]) ).

fof(f3677,definition,
    ( sQ240_spl
  <=> gt(n0,sK11_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).

fof(f3678,plain,
    ( ~ sQ240_spl
    | gt(n0,sK11_skl(n0)) ),
    inference(component_clause,[status(thm)],[f3677]) ).

fof(f3685,definition,
    ( sQ242_spl
  <=> gt(sK13_skl(n0),sK2_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).

fof(f3686,plain,
    ( ~ sQ242_spl
    | gt(sK13_skl(n0),sK2_skl(n0)) ),
    inference(component_clause,[status(thm)],[f3685]) ).

fof(f3687,plain,
    ( sQ242_spl
    | ~ gt(sK13_skl(n0),sK2_skl(n0)) ),
    inference(component_clause,[status(thm)],[f3685]) ).

fof(f3688,plain,
    ( sQ0_spl
    | ~ sQ237_spl
    | sQ149_spl
    | sQ242_spl ),
    inference(split_clause,[status(thm)],[f3669,f3685,f1919,f3481,f324]) ).

fof(f3692,definition,
    ( sQ244_spl
  <=> conditionhyper(sK11_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).

fof(f3693,plain,
    ( ~ sQ244_spl
    | conditionhyper(sK11_skl(n0)) ),
    inference(component_clause,[status(thm)],[f3692]) ).

fof(f3694,plain,
    ( sQ244_spl
    | ~ conditionhyper(sK11_skl(n0)) ),
    inference(component_clause,[status(thm)],[f3692]) ).

fof(f3696,definition,
    ! [X0] :
      ( sQ245_spl
    <=> ( gt(X0,n0)
        | gt(sK13_skl(n0),sK2_skl(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).

fof(f3697,plain,
    ! [X0] :
      ( ~ sQ245_spl
      | gt(X0,n0)
      | gt(sK13_skl(n0),sK2_skl(X0)) ),
    inference(component_clause,[status(thm)],[f3696]) ).

fof(f3703,plain,
    ( ~ sQ20_spl
    | ~ sQ244_spl
    | gt(n0,sK11_skl(n0)) ),
    inference(resolution,[status(thm)],[f3693,f497]) ).

fof(f3704,plain,
    ! [X0] :
      ( ~ sQ240_spl
      | drugbg(X0)
      | gt(n0,X0) ),
    inference(resolution,[status(thm)],[f3678,f147]) ).

fof(f3708,plain,
    ( ~ sQ240_spl
    | sQ149_spl ),
    inference(split_clause,[status(thm)],[f3704,f1919,f3677]) ).

fof(f3711,plain,
    ! [X0] :
      ( ~ sQ20_spl
      | ~ sQ244_spl
      | drugbg(X0)
      | gt(n0,X0) ),
    inference(resolution,[status(thm)],[f3703,f147]) ).

fof(f3715,plain,
    ( ~ sQ20_spl
    | ~ sQ244_spl
    | sQ149_spl ),
    inference(split_clause,[status(thm)],[f3711,f1919,f3692,f496]) ).

fof(f3722,plain,
    ( sQ244_spl
    | conditionnormo(sK11_skl(n0))
    | conditionhypo(sK11_skl(n0)) ),
    inference(resolution,[status(thm)],[f3694,f51]) ).

fof(f3724,definition,
    ( sQ247_spl
  <=> conditionhypo(sK11_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).

fof(f3727,definition,
    ( sQ248_spl
  <=> conditionnormo(sK11_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).

fof(f3730,plain,
    ( sQ244_spl
    | sQ248_spl
    | sQ247_spl ),
    inference(split_clause,[status(thm)],[f3722,f3724,f3727,f3692]) ).

fof(f3740,plain,
    ! [X0] :
      ( ~ sQ20_spl
      | ~ sQ242_spl
      | conditionnormo(X0)
      | gt(n0,X0)
      | ~ s1(n0)
      | gt(n0,sK2_skl(n0)) ),
    inference(resolution,[status(thm)],[f3686,f1006]) ).

fof(f3744,definition,
    ( sQ249_spl
  <=> gt(n0,sK2_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).

fof(f3745,plain,
    ( ~ sQ249_spl
    | gt(n0,sK2_skl(n0)) ),
    inference(component_clause,[status(thm)],[f3744]) ).

fof(f3746,plain,
    ( sQ249_spl
    | ~ gt(n0,sK2_skl(n0)) ),
    inference(component_clause,[status(thm)],[f3744]) ).

fof(f3747,plain,
    ( ~ sQ20_spl
    | ~ sQ242_spl
    | sQ23_spl
    | ~ sQ3_spl
    | sQ249_spl ),
    inference(split_clause,[status(thm)],[f3740,f3744,f341,f505,f3685,f496]) ).

fof(f3748,definition,
    ( sQ250_spl
  <=> conditionhyper(sK2_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).

fof(f3749,plain,
    ( ~ sQ250_spl
    | conditionhyper(sK2_skl(n0)) ),
    inference(component_clause,[status(thm)],[f3748]) ).

fof(f3750,plain,
    ( sQ250_spl
    | ~ conditionhyper(sK2_skl(n0)) ),
    inference(component_clause,[status(thm)],[f3748]) ).

fof(f3756,plain,
    ( ~ sQ20_spl
    | ~ sQ250_spl
    | gt(n0,sK2_skl(n0)) ),
    inference(resolution,[status(thm)],[f3749,f497]) ).

fof(f3765,plain,
    ! [X0] :
      ( sQ0_spl
      | ~ sQ249_spl
      | gt(n0,sK11_skl(X0))
      | gt(X0,n0) ),
    inference(resolution,[status(thm)],[f3745,f386]) ).

fof(f3770,plain,
    ( sQ0_spl
    | ~ sQ249_spl
    | sQ236_spl ),
    inference(split_clause,[status(thm)],[f3765,f3477,f3744,f324]) ).

fof(f3804,plain,
    ! [X0] :
      ( sQ0_spl
      | ~ sQ20_spl
      | ~ sQ250_spl
      | gt(n0,sK11_skl(X0))
      | gt(X0,n0) ),
    inference(resolution,[status(thm)],[f3756,f386]) ).

fof(f3809,plain,
    ( sQ0_spl
    | ~ sQ20_spl
    | ~ sQ250_spl
    | sQ236_spl ),
    inference(split_clause,[status(thm)],[f3804,f3477,f3748,f496,f324]) ).

fof(f3816,plain,
    ( sQ250_spl
    | conditionnormo(sK2_skl(n0))
    | conditionhypo(sK2_skl(n0)) ),
    inference(resolution,[status(thm)],[f3750,f51]) ).

fof(f3818,definition,
    ( sQ252_spl
  <=> conditionhypo(sK2_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).

fof(f3821,definition,
    ( sQ253_spl
  <=> conditionnormo(sK2_skl(n0)) ),
    introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).

fof(f3824,plain,
    ( sQ250_spl
    | sQ253_spl
    | sQ252_spl ),
    inference(split_clause,[status(thm)],[f3816,f3818,f3821,f3748]) ).

fof(f3830,plain,
    ( sQ242_spl
    | ~ sQ245_spl
    | gt(n0,n0) ),
    inference(resolution,[status(thm)],[f3697,f3687]) ).

fof(f3845,plain,
    ( sQ242_spl
    | ~ sQ245_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f3830,f350,f3696,f3685]) ).

fof(f3846,definition,
    ! [X0] :
      ( sQ254_spl
    <=> ( gt(n0,sK2_skl(X0))
        | gt(X0,n0) ) ),
    introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).

fof(f3847,plain,
    ! [X0] :
      ( ~ sQ254_spl
      | gt(n0,sK2_skl(X0))
      | gt(X0,n0) ),
    inference(component_clause,[status(thm)],[f3846]) ).

fof(f3883,definition,
    ! [X0] :
      ( sQ263_spl
    <=> ( gt(sK13_skl(n0),sK11_skl(X0))
        | gt(X0,n0) ) ),
    introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).

fof(f3884,plain,
    ! [X0] :
      ( ~ sQ263_spl
      | gt(sK13_skl(n0),sK11_skl(X0))
      | gt(X0,n0) ),
    inference(component_clause,[status(thm)],[f3883]) ).

fof(f3914,plain,
    ( sQ249_spl
    | ~ sQ254_spl
    | gt(n0,n0) ),
    inference(resolution,[status(thm)],[f3847,f3746]) ).

fof(f3928,plain,
    ( sQ249_spl
    | ~ sQ254_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f3914,f350,f3846,f3744]) ).

fof(f3968,plain,
    ! [X0,X1] :
      ( ~ sQ20_spl
      | ~ sQ263_spl
      | conditionnormo(X1)
      | gt(n0,X1)
      | ~ s1(n0)
      | gt(n0,sK11_skl(X0))
      | gt(X0,n0) ),
    inference(resolution,[status(thm)],[f3884,f1006]) ).

fof(f3974,plain,
    ( ~ sQ20_spl
    | ~ sQ263_spl
    | sQ23_spl
    | ~ sQ3_spl
    | sQ236_spl ),
    inference(split_clause,[status(thm)],[f3968,f3477,f341,f505,f3883,f496]) ).

fof(f3984,plain,
    ( ~ sQ15_spl
    | ~ conditionnormo(sK7_skl(n0)) ),
    inference(resolution,[status(thm)],[f472,f219]) ).

fof(f3985,plain,
    ( ~ sQ15_spl
    | ~ gt(n0,sK7_skl(n0)) ),
    inference(resolution,[status(thm)],[f472,f218]) ).

fof(f3986,plain,
    ( ~ sQ15_spl
    | ~ sQ114_spl ),
    inference(split_clause,[status(thm)],[f3984,f1334,f471]) ).

fof(f3987,plain,
    ( ~ sQ15_spl
    | ~ sQ174_spl ),
    inference(split_clause,[status(thm)],[f3985,f2277,f471]) ).

fof(f3989,plain,
    ( ~ sQ97_spl
    | sQ94_spl ),
    inference(split_clause,[status(thm)],[f1044,f982,f1013]) ).

fof(f3992,plain,
    ( sQ114_spl
    | ~ sQ23_spl
    | sQ174_spl ),
    inference(split_clause,[status(thm)],[f2632,f2277,f505,f1334]) ).

fof(f3999,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f333,f338,f347,f361,f363,f482,f508,f512,f514,f579,f675,f699,f790,f827,f1016,f1118,f1132,f1193,f1344,f1346,f1822,f1842,f1922,f1943,f2005,f2159,f2179,f2186,f2191,f2216,f2228,f2239,f2240,f2280,f2284,f2313,f2341,f2407,f2408,f2430,f2457,f2494,f2523,f2529,f2564,f2586,f2637,f2858,f3093,f3118,f3123,f3468,f3480,f3538,f3541,f3688,f3708,f3715,f3730,f3747,f3770,f3809,f3824,f3845,f3928,f3974,f3986,f3987,f3989,f3992]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MED007+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37  % Computer : n005.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Mon Sep 21 01:19:48 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.38  % Drodi V4.1.1
% 21.13/3.20  % Refutation found
% 21.13/3.20  % SZS status Theorem for theBenchmark: Theorem is valid
% 21.13/3.20  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 19.06/3.25  % Elapsed time: 2.863478 seconds
% 19.06/3.25  % CPU time: 22.215731 seconds
% 19.06/3.25  % Total memory used: 112.326 MB
% 19.06/3.25  % Net memory used: 98.377 MB
%------------------------------------------------------------------------------