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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : MED005+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 : Tue Sep 29 12:01:37 PM UTC 2026

% Result   : Theorem 2.62s 1.51s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  231 (  29 unt;  23 def)
%            Number of atoms       :  909 (   0 equ)
%            Maximal formula atoms :   30 (   3 avg)
%            Number of connectives : 1000 ( 322   ~; 461   |; 139   &)
%                                         (  20 <=>;  58  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   42 (  41 usr;  21 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :  272 (   0 sgn 253   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
     => ( uptakelg(X1)
       => ~ releaselg(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',liver_glucose) ).

fof(f20,axiom,
    ! [X0] :
      ( ~ s0(X0)
      | ~ s1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorstep2) ).

fof(f21,axiom,
    ! [X0] :
      ( ~ s0(X0)
      | ~ s2(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorstep3) ).

fof(f22,axiom,
    ! [X0] :
      ( ~ s0(X0)
      | ~ s3(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorstep4) ).

fof(f26,axiom,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => conditionnormo(X1) )
     => ( ( ! [X1] :
              ( ~ gt(X0,X1)
             => bsecretioni(X1) )
          & bcapacitysn(X0)
          & qilt27(X0)
          & ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) ) )
        | ( ! [X1] :
              ( ~ gt(X0,X1)
             => ~ releaselg(X1) )
          & bcapacitysn(X0)
          & ~ qilt27(X0)
          & ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) ) )
        | ( ( ! [X1] :
                ( ~ gt(X0,X1)
               => ~ releaselg(X1) )
            | ! [X1] :
                ( ~ gt(X0,X1)
               => uptakepg(X1) ) )
          & bcapacityne(X0)
          & ! [X1] :
              ( ~ gt(X0,X1)
             => bsecretioni(X1) )
          & ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) ) )
        | ( ! [X1] :
              ( ~ gt(X0,X1)
             => uptakelg(X1) )
          & ! [X1] :
              ( ~ gt(X0,X1)
             => uptakepg(X1) )
          & bcapacityex(X0)
          & ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normo) ).

fof(f31,axiom,
    ! [X0] :
      ( drugbg(X0)
     => ( ( s1(X0)
          & ~ qilt27(X0) )
        | s2(X0)
        | s3(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bgcomp) ).

fof(f32,axiom,
    ! [X0] :
      ( drugsu(X0)
     => ( ( s1(X0)
          & qillt27(X0) )
        | s2(X0)
        | s3(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sucomp) ).

fof(f36,axiom,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => bsecretioni(X1) )
     => ( ! [X1] :
            ( ~ gt(X0,X1)
           => drugsu(X1) )
        & ~ bcapacityex(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',su_completion) ).

fof(f37,axiom,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => ~ releaselg(X1) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => drugbg(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bg_completion) ).

fof(f38,axiom,
    ! [X0] :
      ( ( s0(X0)
        & ~ ! [X1] :
              ( ~ gt(X0,X1)
             => conditionnormo(X1) ) )
     => ? [X1] :
          ( ~ gt(X0,X1)
          & s1(X1)
          & ! [X2] :
              ( gt(X1,X2)
             => conditionhyper(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_ax1) ).

fof(f41,conjecture,
    ( ( s0(n0)
      & ! [X0] :
          ( gt(n0,X0)
         => conditionhyper(X0) ) )
   => ? [X0] :
        ( ~ gt(n0,X0)
        & s1(X0)
        & ! [X1] :
            ( gt(X0,X1)
           => conditionhyper(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transs0s1) ).

fof(f42,negated_conjecture,
    ~ ( ( s0(n0)
        & ! [X0] :
            ( gt(n0,X0)
           => conditionhyper(X0) ) )
     => ? [X0] :
          ( ~ gt(n0,X0)
          & s1(X0)
          & ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) ) ) ),
    inference(negated_conjecture,[status(cth)],[f41]) ).

fof(f43,plain,
    ~ ( ( s0(n0)
        & ! [X0] :
            ( gt(n0,X0)
           => conditionhyper(X0) ) )
     => ? [X1] :
          ( ~ gt(n0,X1)
          & s1(X1)
          & ! [X2] :
              ( gt(X1,X2)
             => conditionhyper(X2) ) ) ),
    inference(rectify,[],[f42]) ).

fof(f46,plain,
    ! [X0] :
      ( ( s0(X0)
        & ~ ! [X1] :
              ( ~ gt(X0,X1)
             => conditionnormo(X1) ) )
     => ? [X2] :
          ( ~ gt(X0,X2)
          & s1(X2)
          & ! [X3] :
              ( gt(X2,X3)
             => conditionhyper(X3) ) ) ),
    inference(rectify,[],[f38]) ).

fof(f47,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => ~ releaselg(X1) )
     => ! [X2] :
          ( ~ gt(X0,X2)
         => drugbg(X2) ) ),
    inference(rectify,[],[f37]) ).

fof(f48,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => bsecretioni(X1) )
     => ( ! [X2] :
            ( ~ gt(X0,X2)
           => drugsu(X2) )
        & ~ bcapacityex(X0) ) ),
    inference(rectify,[],[f36]) ).

fof(f50,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => conditionnormo(X1) )
     => ( ( ! [X2] :
              ( ~ gt(X0,X2)
             => bsecretioni(X2) )
          & bcapacitysn(X0)
          & qilt27(X0)
          & ! [X3] :
              ( gt(X0,X3)
             => conditionhyper(X3) ) )
        | ( ! [X4] :
              ( ~ gt(X0,X4)
             => ~ releaselg(X4) )
          & bcapacitysn(X0)
          & ~ qilt27(X0)
          & ! [X5] :
              ( gt(X0,X5)
             => conditionhyper(X5) ) )
        | ( ( ! [X6] :
                ( ~ gt(X0,X6)
               => ~ releaselg(X6) )
            | ! [X7] :
                ( ~ gt(X0,X7)
               => uptakepg(X7) ) )
          & bcapacityne(X0)
          & ! [X8] :
              ( ~ gt(X0,X8)
             => bsecretioni(X8) )
          & ! [X9] :
              ( gt(X0,X9)
             => conditionhyper(X9) ) )
        | ( ! [X10] :
              ( ~ gt(X0,X10)
             => uptakelg(X10) )
          & ! [X11] :
              ( ~ gt(X0,X11)
             => uptakepg(X11) )
          & bcapacityex(X0)
          & ! [X12] :
              ( gt(X0,X12)
             => conditionhyper(X12) ) ) ) ),
    inference(rectify,[],[f26]) ).

fof(f58,plain,
    ! [X0] :
      ( drugsu(X0)
     => ( s1(X0)
        | s2(X0)
        | s3(X0) ) ),
    inference(pure_predicate_removal,[],[f32]) ).

fof(f59,plain,
    ( ! [X1] :
        ( gt(n0,X1)
        | ~ s1(X1)
        | ? [X2] :
            ( ~ conditionhyper(X2)
            & gt(X1,X2) ) )
    & s0(n0)
    & ! [X0] :
        ( conditionhyper(X0)
        | ~ gt(n0,X0) ) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f60,plain,
    ( ! [X1] :
        ( gt(n0,X1)
        | ~ s1(X1)
        | ? [X2] :
            ( ~ conditionhyper(X2)
            & gt(X1,X2) ) )
    & s0(n0)
    & ! [X0] :
        ( conditionhyper(X0)
        | ~ gt(n0,X0) ) ),
    inference(flattening,[],[f59]) ).

fof(f65,plain,
    ! [X0] :
      ( ? [X2] :
          ( ~ gt(X0,X2)
          & s1(X2)
          & ! [X3] :
              ( conditionhyper(X3)
              | ~ gt(X2,X3) ) )
      | ~ s0(X0)
      | ! [X1] :
          ( conditionnormo(X1)
          | gt(X0,X1) ) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f66,plain,
    ! [X0] :
      ( ? [X2] :
          ( ~ gt(X0,X2)
          & s1(X2)
          & ! [X3] :
              ( conditionhyper(X3)
              | ~ gt(X2,X3) ) )
      | ~ s0(X0)
      | ! [X1] :
          ( conditionnormo(X1)
          | gt(X0,X1) ) ),
    inference(flattening,[],[f65]) ).

fof(f67,plain,
    ! [X0] :
      ( ! [X2] :
          ( drugbg(X2)
          | gt(X0,X2) )
      | ? [X1] :
          ( releaselg(X1)
          & ~ gt(X0,X1) ) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f68,plain,
    ! [X0] :
      ( ( ! [X2] :
            ( drugsu(X2)
            | gt(X0,X2) )
        & ~ bcapacityex(X0) )
      | ? [X1] :
          ( ~ bsecretioni(X1)
          & ~ gt(X0,X1) ) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f72,plain,
    ! [X0] :
      ( ( ! [X2] :
            ( bsecretioni(X2)
            | gt(X0,X2) )
        & bcapacitysn(X0)
        & qilt27(X0)
        & ! [X3] :
            ( conditionhyper(X3)
            | ~ gt(X0,X3) ) )
      | ( ! [X4] :
            ( ~ releaselg(X4)
            | gt(X0,X4) )
        & bcapacitysn(X0)
        & ~ qilt27(X0)
        & ! [X5] :
            ( conditionhyper(X5)
            | ~ gt(X0,X5) ) )
      | ( ( ! [X6] :
              ( ~ releaselg(X6)
              | gt(X0,X6) )
          | ! [X7] :
              ( uptakepg(X7)
              | gt(X0,X7) ) )
        & bcapacityne(X0)
        & ! [X8] :
            ( bsecretioni(X8)
            | gt(X0,X8) )
        & ! [X9] :
            ( conditionhyper(X9)
            | ~ gt(X0,X9) ) )
      | ( ! [X10] :
            ( uptakelg(X10)
            | gt(X0,X10) )
        & ! [X11] :
            ( uptakepg(X11)
            | gt(X0,X11) )
        & bcapacityex(X0)
        & ! [X12] :
            ( conditionhyper(X12)
            | ~ gt(X0,X12) ) )
      | ? [X1] :
          ( ~ conditionnormo(X1)
          & ~ gt(X0,X1) ) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f73,plain,
    ! [X0] :
      ( ( ! [X2] :
            ( bsecretioni(X2)
            | gt(X0,X2) )
        & bcapacitysn(X0)
        & qilt27(X0)
        & ! [X3] :
            ( conditionhyper(X3)
            | ~ gt(X0,X3) ) )
      | ( ! [X4] :
            ( ~ releaselg(X4)
            | gt(X0,X4) )
        & bcapacitysn(X0)
        & ~ qilt27(X0)
        & ! [X5] :
            ( conditionhyper(X5)
            | ~ gt(X0,X5) ) )
      | ( ( ! [X6] :
              ( ~ releaselg(X6)
              | gt(X0,X6) )
          | ! [X7] :
              ( uptakepg(X7)
              | gt(X0,X7) ) )
        & bcapacityne(X0)
        & ! [X8] :
            ( bsecretioni(X8)
            | gt(X0,X8) )
        & ! [X9] :
            ( conditionhyper(X9)
            | ~ gt(X0,X9) ) )
      | ( ! [X10] :
            ( uptakelg(X10)
            | gt(X0,X10) )
        & ! [X11] :
            ( uptakepg(X11)
            | gt(X0,X11) )
        & bcapacityex(X0)
        & ! [X12] :
            ( conditionhyper(X12)
            | ~ gt(X0,X12) ) )
      | ? [X1] :
          ( ~ conditionnormo(X1)
          & ~ gt(X0,X1) ) ),
    inference(flattening,[],[f72]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ~ releaselg(X1)
      | ~ uptakelg(X1)
      | gt(X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ releaselg(X1)
      | ~ uptakelg(X1)
      | gt(X0,X1) ),
    inference(flattening,[],[f85]) ).

fof(f90,plain,
    ! [X0] :
      ( s1(X0)
      | s2(X0)
      | s3(X0)
      | ~ drugsu(X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f91,plain,
    ! [X0] :
      ( s1(X0)
      | s2(X0)
      | s3(X0)
      | ~ drugsu(X0) ),
    inference(flattening,[],[f90]) ).

fof(f92,plain,
    ! [X0] :
      ( ( s1(X0)
        & ~ qilt27(X0) )
      | s2(X0)
      | s3(X0)
      | ~ drugbg(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f93,plain,
    ! [X0] :
      ( ( s1(X0)
        & ~ qilt27(X0) )
      | s2(X0)
      | s3(X0)
      | ~ drugbg(X0) ),
    inference(flattening,[],[f92]) ).

fof(f98,definition,
    ! [X0] :
      ( ( ! [X10] :
            ( uptakelg(X10)
            | gt(X0,X10) )
        & ! [X11] :
            ( uptakepg(X11)
            | gt(X0,X11) )
        & bcapacityex(X0)
        & ! [X12] :
            ( conditionhyper(X12)
            | ~ gt(X0,X12) ) )
      | ~ sP0(X0) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f99,definition,
    ! [X0] :
      ( ( ( ! [X6] :
              ( ~ releaselg(X6)
              | gt(X0,X6) )
          | ! [X7] :
              ( uptakepg(X7)
              | gt(X0,X7) ) )
        & bcapacityne(X0)
        & ! [X8] :
            ( bsecretioni(X8)
            | gt(X0,X8) )
        & ! [X9] :
            ( conditionhyper(X9)
            | ~ gt(X0,X9) ) )
      | ~ sP1(X0) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f100,definition,
    ! [X0] :
      ( ( ! [X4] :
            ( ~ releaselg(X4)
            | gt(X0,X4) )
        & bcapacitysn(X0)
        & ~ qilt27(X0)
        & ! [X5] :
            ( conditionhyper(X5)
            | ~ gt(X0,X5) ) )
      | ~ sP2(X0) ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

fof(f101,plain,
    ! [X0] :
      ( ( ! [X2] :
            ( bsecretioni(X2)
            | gt(X0,X2) )
        & bcapacitysn(X0)
        & qilt27(X0)
        & ! [X3] :
            ( conditionhyper(X3)
            | ~ gt(X0,X3) ) )
      | sP2(X0)
      | sP1(X0)
      | sP0(X0)
      | ? [X1] :
          ( ~ conditionnormo(X1)
          & ~ gt(X0,X1) ) ),
    inference(definition_folding,[],[f73,f100,f99,f98]) ).

fof(f104,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | ~ s1(X0)
        | ? [X1] :
            ( ~ conditionhyper(X1)
            & gt(X0,X1) ) )
    & s0(n0)
    & ! [X2] :
        ( conditionhyper(X2)
        | ~ gt(n0,X2) ) ),
    inference(rectify,[],[f60]) ).

fof(f105,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | ~ s1(X0)
        | ( ~ conditionhyper(sK4(X0))
          & gt(X0,sK4(X0)) ) )
    & s0(n0)
    & ! [X2] :
        ( conditionhyper(X2)
        | ~ gt(n0,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f104]) ).

fof(f110,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ gt(X0,X1)
          & s1(X1)
          & ! [X2] :
              ( conditionhyper(X2)
              | ~ gt(X1,X2) ) )
      | ~ s0(X0)
      | ! [X3] :
          ( conditionnormo(X3)
          | gt(X0,X3) ) ),
    inference(rectify,[],[f66]) ).

fof(f111,plain,
    ! [X0] :
      ( ( ~ gt(X0,sK7(X0))
        & s1(sK7(X0))
        & ! [X2] :
            ( conditionhyper(X2)
            | ~ gt(sK7(X0),X2) ) )
      | ~ s0(X0)
      | ! [X3] :
          ( conditionnormo(X3)
          | gt(X0,X3) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X1,sK7(X0))],[f110]) ).

fof(f112,plain,
    ! [X0] :
      ( ! [X1] :
          ( drugbg(X1)
          | gt(X0,X1) )
      | ? [X2] :
          ( releaselg(X2)
          & ~ gt(X0,X2) ) ),
    inference(rectify,[],[f67]) ).

fof(f113,plain,
    ! [X0] :
      ( ! [X1] :
          ( drugbg(X1)
          | gt(X0,X1) )
      | ( releaselg(sK8(X0))
        & ~ gt(X0,sK8(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0))],[f112]) ).

fof(f114,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( drugsu(X1)
            | gt(X0,X1) )
        & ~ bcapacityex(X0) )
      | ? [X2] :
          ( ~ bsecretioni(X2)
          & ~ gt(X0,X2) ) ),
    inference(rectify,[],[f68]) ).

fof(f115,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( drugsu(X1)
            | gt(X0,X1) )
        & ~ bcapacityex(X0) )
      | ( ~ bsecretioni(sK9(X0))
        & ~ gt(X0,sK9(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0))],[f114]) ).

fof(f118,plain,
    ! [X0] :
      ( ( ! [X4] :
            ( ~ releaselg(X4)
            | gt(X0,X4) )
        & bcapacitysn(X0)
        & ~ qilt27(X0)
        & ! [X5] :
            ( conditionhyper(X5)
            | ~ gt(X0,X5) ) )
      | ~ sP2(X0) ),
    inference(nnf_transformation,[],[f100]) ).

fof(f119,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ releaselg(X1)
            | gt(X0,X1) )
        & bcapacitysn(X0)
        & ~ qilt27(X0)
        & ! [X2] :
            ( conditionhyper(X2)
            | ~ gt(X0,X2) ) )
      | ~ sP2(X0) ),
    inference(rectify,[],[f118]) ).

fof(f120,plain,
    ! [X0] :
      ( ( ( ! [X6] :
              ( ~ releaselg(X6)
              | gt(X0,X6) )
          | ! [X7] :
              ( uptakepg(X7)
              | gt(X0,X7) ) )
        & bcapacityne(X0)
        & ! [X8] :
            ( bsecretioni(X8)
            | gt(X0,X8) )
        & ! [X9] :
            ( conditionhyper(X9)
            | ~ gt(X0,X9) ) )
      | ~ sP1(X0) ),
    inference(nnf_transformation,[],[f99]) ).

fof(f121,plain,
    ! [X0] :
      ( ( ( ! [X1] :
              ( ~ releaselg(X1)
              | gt(X0,X1) )
          | ! [X2] :
              ( uptakepg(X2)
              | gt(X0,X2) ) )
        & bcapacityne(X0)
        & ! [X3] :
            ( bsecretioni(X3)
            | gt(X0,X3) )
        & ! [X4] :
            ( conditionhyper(X4)
            | ~ gt(X0,X4) ) )
      | ~ sP1(X0) ),
    inference(rectify,[],[f120]) ).

fof(f122,plain,
    ! [X0] :
      ( ( ! [X10] :
            ( uptakelg(X10)
            | gt(X0,X10) )
        & ! [X11] :
            ( uptakepg(X11)
            | gt(X0,X11) )
        & bcapacityex(X0)
        & ! [X12] :
            ( conditionhyper(X12)
            | ~ gt(X0,X12) ) )
      | ~ sP0(X0) ),
    inference(nnf_transformation,[],[f98]) ).

fof(f123,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( uptakelg(X1)
            | gt(X0,X1) )
        & ! [X2] :
            ( uptakepg(X2)
            | gt(X0,X2) )
        & bcapacityex(X0)
        & ! [X3] :
            ( conditionhyper(X3)
            | ~ gt(X0,X3) ) )
      | ~ sP0(X0) ),
    inference(rectify,[],[f122]) ).

fof(f124,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( bsecretioni(X1)
            | gt(X0,X1) )
        & bcapacitysn(X0)
        & qilt27(X0)
        & ! [X2] :
            ( conditionhyper(X2)
            | ~ gt(X0,X2) ) )
      | sP2(X0)
      | sP1(X0)
      | sP0(X0)
      | ? [X3] :
          ( ~ conditionnormo(X3)
          & ~ gt(X0,X3) ) ),
    inference(rectify,[],[f101]) ).

fof(f125,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( bsecretioni(X1)
            | gt(X0,X1) )
        & bcapacitysn(X0)
        & qilt27(X0)
        & ! [X2] :
            ( conditionhyper(X2)
            | ~ gt(X0,X2) ) )
      | sP2(X0)
      | sP1(X0)
      | sP0(X0)
      | ( ~ conditionnormo(sK12(X0))
        & ~ gt(X0,sK12(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X3,sK12(X0))],[f124]) ).

fof(f143,plain,
    s0(n0),
    inference(cnf_transformation,[],[f105]) ).

fof(f144,plain,
    ! [X0] :
      ( ~ s1(X0)
      | gt(n0,X0)
      | gt(X0,sK4(X0)) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f145,plain,
    ! [X0] :
      ( ~ s1(X0)
      | gt(n0,X0)
      | ~ conditionhyper(sK4(X0)) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f154,plain,
    ! [X2,X3,X0] :
      ( conditionhyper(X2)
      | ~ gt(sK7(X0),X2)
      | ~ s0(X0)
      | conditionnormo(X3)
      | gt(X0,X3) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f155,plain,
    ! [X3,X0] :
      ( conditionnormo(X3)
      | ~ s0(X0)
      | s1(sK7(X0))
      | gt(X0,X3) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f156,plain,
    ! [X3,X0] :
      ( ~ gt(X0,sK7(X0))
      | ~ s0(X0)
      | conditionnormo(X3)
      | gt(X0,X3) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK8(X0))
      | gt(X0,X1)
      | drugbg(X1) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( releaselg(sK8(X0))
      | gt(X0,X1)
      | drugbg(X1) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK9(X0))
      | gt(X0,X1)
      | drugsu(X1) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ~ bsecretioni(sK9(X0))
      | gt(X0,X1)
      | drugsu(X1) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ~ sP2(X0)
      | gt(X0,X1)
      | ~ releaselg(X1) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f173,plain,
    ! [X3,X0] :
      ( ~ sP1(X0)
      | gt(X0,X3)
      | bsecretioni(X3) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( ~ sP0(X0)
      | gt(X0,X1)
      | uptakelg(X1) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK12(X0))
      | gt(X0,X1)
      | sP2(X0)
      | sP1(X0)
      | sP0(X0)
      | bsecretioni(X1) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( ~ conditionnormo(sK12(X0))
      | gt(X0,X1)
      | sP2(X0)
      | sP1(X0)
      | sP0(X0)
      | bsecretioni(X1) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( ~ uptakelg(X1)
      | ~ releaselg(X1)
      | gt(X0,X1) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f222,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f226,plain,
    ! [X0] :
      ( ~ s3(X0)
      | ~ s0(X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f227,plain,
    ! [X0] :
      ( ~ s2(X0)
      | ~ s0(X0) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f228,plain,
    ! [X0] :
      ( ~ s1(X0)
      | ~ s0(X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f230,plain,
    ! [X0] :
      ( ~ drugsu(X0)
      | s2(X0)
      | s3(X0)
      | s1(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f232,plain,
    ! [X0] :
      ( ~ drugbg(X0)
      | s2(X0)
      | s3(X0)
      | s1(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f244,definition,
    ( spl27_2
  <=> s1(sK7(n0)) ),
    introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).

fof(f245,plain,
    ( ~ s1(sK7(n0))
    | spl27_2 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f246,plain,
    ( s1(sK7(n0))
    | ~ spl27_2 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f252,plain,
    ( gt(n0,sK7(n0))
    | gt(sK7(n0),sK4(sK7(n0)))
    | ~ spl27_2 ),
    inference(resolution,[],[f246,f144]) ).

fof(f253,plain,
    ( gt(n0,sK7(n0))
    | ~ conditionhyper(sK4(sK7(n0)))
    | ~ spl27_2 ),
    inference(resolution,[],[f246,f145]) ).

fof(f255,definition,
    ( spl27_3
  <=> conditionhyper(sK4(sK7(n0))) ),
    introduced(definition,[new_symbols(definition,[spl27_3])],[avatar_definition]) ).

fof(f257,plain,
    ( ~ conditionhyper(sK4(sK7(n0)))
    | spl27_3 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f259,definition,
    ( spl27_4
  <=> gt(n0,sK7(n0)) ),
    introduced(definition,[new_symbols(definition,[spl27_4])],[avatar_definition]) ).

fof(f261,plain,
    ( gt(n0,sK7(n0))
    | ~ spl27_4 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f262,plain,
    ( ~ spl27_3
    | spl27_4
    | ~ spl27_2 ),
    inference(avatar_split_clause,[],[f253,f244,f259,f255]) ).

fof(f264,definition,
    ( spl27_5
  <=> gt(sK7(n0),sK4(sK7(n0))) ),
    introduced(definition,[new_symbols(definition,[spl27_5])],[avatar_definition]) ).

fof(f266,plain,
    ( gt(sK7(n0),sK4(sK7(n0)))
    | ~ spl27_5 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f267,plain,
    ( spl27_5
    | spl27_4
    | ~ spl27_2 ),
    inference(avatar_split_clause,[],[f252,f244,f259,f264]) ).

fof(f468,definition,
    ( spl27_20
  <=> drugbg(n0) ),
    introduced(definition,[new_symbols(definition,[spl27_20])],[avatar_definition]) ).

fof(f469,plain,
    ( drugbg(n0)
    | ~ spl27_20 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f470,plain,
    ( ~ drugbg(n0)
    | spl27_20 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f472,definition,
    ( spl27_21
  <=> sP2(n0) ),
    introduced(definition,[new_symbols(definition,[spl27_21])],[avatar_definition]) ).

fof(f473,plain,
    ( ~ sP2(n0)
    | spl27_21 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f474,plain,
    ( sP2(n0)
    | ~ spl27_21 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f480,definition,
    ( spl27_23
  <=> sP0(n0) ),
    introduced(definition,[new_symbols(definition,[spl27_23])],[avatar_definition]) ).

fof(f481,plain,
    ( ~ sP0(n0)
    | spl27_23 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f482,plain,
    ( sP0(n0)
    | ~ spl27_23 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f522,definition,
    ( spl27_30
  <=> ! [X2] :
        ( conditionnormo(X2)
        | gt(n0,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl27_30])],[avatar_definition]) ).

fof(f523,plain,
    ( ! [X2] :
        ( conditionnormo(X2)
        | gt(n0,X2) )
    | ~ spl27_30 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f597,plain,
    ( s2(n0)
    | s3(n0)
    | s1(n0)
    | ~ spl27_20 ),
    inference(resolution,[],[f469,f232]) ).

fof(f599,definition,
    ( spl27_33
  <=> s1(n0) ),
    introduced(definition,[new_symbols(definition,[spl27_33])],[avatar_definition]) ).

fof(f600,plain,
    ( ~ s1(n0)
    | spl27_33 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f601,plain,
    ( s1(n0)
    | ~ spl27_33 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f603,definition,
    ( spl27_34
  <=> s3(n0) ),
    introduced(definition,[new_symbols(definition,[spl27_34])],[avatar_definition]) ).

fof(f604,plain,
    ( ~ s3(n0)
    | spl27_34 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f605,plain,
    ( s3(n0)
    | ~ spl27_34 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f607,definition,
    ( spl27_35
  <=> s2(n0) ),
    introduced(definition,[new_symbols(definition,[spl27_35])],[avatar_definition]) ).

fof(f608,plain,
    ( ~ s2(n0)
    | spl27_35 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f609,plain,
    ( s2(n0)
    | ~ spl27_35 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f610,plain,
    ( spl27_33
    | spl27_34
    | spl27_35
    | ~ spl27_20 ),
    inference(avatar_split_clause,[],[f597,f468,f607,f603,f599]) ).

fof(f612,definition,
    ( spl27_36
  <=> gt(n0,sK12(n0)) ),
    introduced(definition,[new_symbols(definition,[spl27_36])],[avatar_definition]) ).

fof(f613,plain,
    ( ~ gt(n0,sK12(n0))
    | spl27_36 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f614,plain,
    ( gt(n0,sK12(n0))
    | ~ spl27_36 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f618,plain,
    ( ~ s0(n0)
    | ~ spl27_34 ),
    inference(resolution,[],[f605,f226]) ).

fof(f619,plain,
    ( $false
    | ~ spl27_34 ),
    inference(forward_subsumption_resolution,[],[f618,f143]) ).

fof(f620,plain,
    ~ spl27_34,
    inference(avatar_contradiction_clause,[],[f619]) ).

fof(f638,plain,
    ( ~ s0(n0)
    | ~ spl27_35 ),
    inference(resolution,[],[f609,f227]) ).

fof(f639,plain,
    ( $false
    | ~ spl27_35 ),
    inference(forward_subsumption_resolution,[],[f638,f143]) ).

fof(f640,plain,
    ~ spl27_35,
    inference(avatar_contradiction_clause,[],[f639]) ).

fof(f665,plain,
    ( ~ s0(n0)
    | ~ spl27_33 ),
    inference(resolution,[],[f601,f228]) ).

fof(f678,plain,
    ( $false
    | ~ spl27_33 ),
    inference(forward_subsumption_resolution,[],[f665,f143]) ).

fof(f679,plain,
    ~ spl27_33,
    inference(avatar_contradiction_clause,[],[f678]) ).

fof(f707,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | sP2(n0)
        | sP1(n0)
        | sP0(n0)
        | bsecretioni(X0) )
    | ~ spl27_36 ),
    inference(resolution,[],[f614,f186]) ).

fof(f722,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | sP2(n0)
        | sP0(n0)
        | bsecretioni(X0) )
    | ~ spl27_36 ),
    inference(forward_subsumption_resolution,[],[f707,f173]) ).

fof(f724,definition,
    ( spl27_45
  <=> conditionnormo(sK12(n0)) ),
    introduced(definition,[new_symbols(definition,[spl27_45])],[avatar_definition]) ).

fof(f725,plain,
    ( conditionnormo(sK12(n0))
    | ~ spl27_45 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f726,plain,
    ( ~ conditionnormo(sK12(n0))
    | spl27_45 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f730,definition,
    ( spl27_46
  <=> ! [X0] :
        ( gt(n0,X0)
        | bsecretioni(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl27_46])],[avatar_definition]) ).

fof(f731,plain,
    ( ! [X0] :
        ( bsecretioni(X0)
        | gt(n0,X0) )
    | ~ spl27_46 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f732,plain,
    ( spl27_23
    | spl27_21
    | spl27_46
    | ~ spl27_36 ),
    inference(avatar_split_clause,[],[f722,f612,f730,f472,f480]) ).

fof(f746,definition,
    ( spl27_48
  <=> ! [X0] :
        ( gt(n0,X0)
        | ~ releaselg(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl27_48])],[avatar_definition]) ).

fof(f747,plain,
    ( ! [X0] :
        ( ~ releaselg(X0)
        | gt(n0,X0) )
    | ~ spl27_48 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f1044,plain,
    ( ! [X0,X1] :
        ( ~ gt(sK7(X0),sK4(sK7(n0)))
        | ~ s0(X0)
        | conditionnormo(X1)
        | gt(X0,X1) )
    | spl27_3 ),
    inference(resolution,[],[f257,f154]) ).

fof(f1088,plain,
    ( ! [X0] :
        ( ~ s0(n0)
        | conditionnormo(X0)
        | gt(n0,X0) )
    | spl27_3
    | ~ spl27_5 ),
    inference(resolution,[],[f1044,f266]) ).

fof(f1089,plain,
    ( ! [X0] :
        ( conditionnormo(X0)
        | gt(n0,X0) )
    | spl27_3
    | ~ spl27_5 ),
    inference(forward_subsumption_resolution,[],[f1088,f143]) ).

fof(f1090,plain,
    ( spl27_30
    | spl27_3
    | ~ spl27_5 ),
    inference(avatar_split_clause,[],[f1089,f264,f255,f522]) ).

fof(f1223,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | ~ releaselg(X0) )
    | ~ spl27_21 ),
    inference(resolution,[],[f474,f171]) ).

fof(f1228,plain,
    ( spl27_48
    | ~ spl27_21 ),
    inference(avatar_split_clause,[],[f1223,f472,f746]) ).

fof(f1273,definition,
    ( spl27_75
  <=> ! [X1] :
        ( gt(n0,X1)
        | uptakelg(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl27_75])],[avatar_definition]) ).

fof(f1274,plain,
    ( ! [X1] :
        ( uptakelg(X1)
        | gt(n0,X1) )
    | ~ spl27_75 ),
    inference(avatar_component_clause,[],[f1273]) ).

fof(f1427,plain,
    ( ! [X0,X1] :
        ( gt(n0,sK8(X0))
        | gt(X0,X1)
        | drugbg(X1) )
    | ~ spl27_48 ),
    inference(resolution,[],[f747,f158]) ).

fof(f1436,plain,
    ( ! [X0,X1] :
        ( gt(n0,X0)
        | drugbg(X0)
        | gt(n0,X1)
        | drugbg(X1) )
    | ~ spl27_48 ),
    inference(resolution,[],[f1427,f157]) ).

fof(f1450,definition,
    ( spl27_95
  <=> ! [X1] :
        ( gt(n0,X1)
        | drugbg(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl27_95])],[avatar_definition]) ).

fof(f1451,plain,
    ( ! [X1] :
        ( drugbg(X1)
        | gt(n0,X1) )
    | ~ spl27_95 ),
    inference(avatar_component_clause,[],[f1450]) ).

fof(f1452,plain,
    ( spl27_95
    | spl27_95
    | ~ spl27_48 ),
    inference(avatar_split_clause,[],[f1436,f746,f1450,f1450]) ).

fof(f1498,plain,
    ( gt(n0,n0)
    | spl27_20
    | ~ spl27_95 ),
    inference(resolution,[],[f1451,f470]) ).

fof(f1499,plain,
    ( $false
    | spl27_20
    | ~ spl27_95 ),
    inference(forward_subsumption_resolution,[],[f1498,f222]) ).

fof(f1500,plain,
    ( spl27_20
    | ~ spl27_95 ),
    inference(avatar_contradiction_clause,[],[f1499]) ).

fof(f1533,plain,
    ( ! [X0] :
        ( ~ s0(X0)
        | s1(sK7(X0))
        | gt(X0,sK12(n0)) )
    | spl27_45 ),
    inference(resolution,[],[f726,f155]) ).

fof(f1534,plain,
    ( s1(sK7(n0))
    | gt(n0,sK12(n0))
    | spl27_45 ),
    inference(resolution,[],[f1533,f143]) ).

fof(f1559,plain,
    ( gt(n0,sK12(n0))
    | spl27_2
    | spl27_45 ),
    inference(forward_subsumption_resolution,[],[f1534,f245]) ).

fof(f1560,plain,
    ( $false
    | spl27_2
    | spl27_36
    | spl27_45 ),
    inference(forward_subsumption_resolution,[],[f1559,f613]) ).

fof(f1561,plain,
    ( spl27_2
    | spl27_36
    | spl27_45 ),
    inference(avatar_contradiction_clause,[],[f1560]) ).

fof(f1632,plain,
    ( ! [X0] :
        ( ~ s0(n0)
        | conditionnormo(X0)
        | gt(n0,X0) )
    | ~ spl27_4 ),
    inference(resolution,[],[f261,f156]) ).

fof(f1635,plain,
    ( ! [X0] :
        ( conditionnormo(X0)
        | gt(n0,X0) )
    | ~ spl27_4 ),
    inference(forward_subsumption_resolution,[],[f1632,f143]) ).

fof(f1636,plain,
    ( spl27_30
    | ~ spl27_4 ),
    inference(avatar_split_clause,[],[f1635,f259,f522]) ).

fof(f1702,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | uptakelg(X0) )
    | ~ spl27_23 ),
    inference(resolution,[],[f482,f179]) ).

fof(f1757,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | sP2(n0)
        | sP1(n0)
        | sP0(n0)
        | bsecretioni(X0) )
    | ~ spl27_45 ),
    inference(resolution,[],[f725,f187]) ).

fof(f1843,plain,
    ( ! [X0,X1] :
        ( ~ releaselg(X0)
        | gt(n0,X0)
        | gt(X1,X0) )
    | ~ spl27_75 ),
    inference(resolution,[],[f1274,f216]) ).

fof(f1861,plain,
    ( ! [X2,X0,X1] :
        ( gt(n0,sK8(X0))
        | gt(X1,sK8(X0))
        | gt(X0,X2)
        | drugbg(X2) )
    | ~ spl27_75 ),
    inference(resolution,[],[f1843,f158]) ).

fof(f1878,plain,
    ( ! [X2,X0,X1] :
        ( gt(X0,sK8(n0))
        | gt(n0,X1)
        | drugbg(X1)
        | gt(n0,X2)
        | drugbg(X2) )
    | ~ spl27_75 ),
    inference(resolution,[],[f1861,f157]) ).

fof(f1884,definition,
    ( spl27_128
  <=> ! [X0] : gt(X0,sK8(n0)) ),
    introduced(definition,[new_symbols(definition,[spl27_128])],[avatar_definition]) ).

fof(f1885,plain,
    ( ! [X0] : gt(X0,sK8(n0))
    | ~ spl27_128 ),
    inference(avatar_component_clause,[],[f1884]) ).

fof(f1886,plain,
    ( spl27_95
    | spl27_95
    | spl27_128
    | ~ spl27_75 ),
    inference(avatar_split_clause,[],[f1878,f1273,f1884,f1450,f1450]) ).

fof(f1890,plain,
    ( $false
    | ~ spl27_128 ),
    inference(resolution,[],[f1885,f222]) ).

fof(f1907,plain,
    ~ spl27_128,
    inference(avatar_contradiction_clause,[],[f1890]) ).

fof(f1909,plain,
    ( spl27_75
    | ~ spl27_23 ),
    inference(avatar_split_clause,[],[f1702,f480,f1273]) ).

fof(f1912,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | sP2(n0)
        | sP0(n0)
        | bsecretioni(X0) )
    | ~ spl27_45 ),
    inference(forward_subsumption_resolution,[],[f1757,f173]) ).

fof(f1916,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | sP0(n0)
        | bsecretioni(X0) )
    | spl27_21
    | ~ spl27_45 ),
    inference(forward_subsumption_resolution,[],[f1912,f473]) ).

fof(f1920,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | bsecretioni(X0) )
    | spl27_21
    | spl27_23
    | ~ spl27_45 ),
    inference(forward_subsumption_resolution,[],[f1916,f481]) ).

fof(f1924,plain,
    ( spl27_46
    | spl27_21
    | spl27_23
    | ~ spl27_45 ),
    inference(avatar_split_clause,[],[f1920,f724,f480,f472,f730]) ).

fof(f1950,plain,
    ( gt(n0,sK12(n0))
    | ~ spl27_30
    | spl27_45 ),
    inference(resolution,[],[f523,f726]) ).

fof(f1952,plain,
    ( $false
    | ~ spl27_30
    | spl27_36
    | spl27_45 ),
    inference(forward_subsumption_resolution,[],[f1950,f613]) ).

fof(f1953,plain,
    ( ~ spl27_30
    | spl27_36
    | spl27_45 ),
    inference(avatar_contradiction_clause,[],[f1952]) ).

fof(f1960,plain,
    ( ! [X0,X1] :
        ( drugsu(X1)
        | gt(X0,X1)
        | gt(n0,sK9(X0)) )
    | ~ spl27_46 ),
    inference(resolution,[],[f731,f162]) ).

fof(f1977,plain,
    ( ! [X0,X1] :
        ( gt(n0,sK9(X0))
        | gt(X0,X1)
        | s2(X1)
        | s3(X1)
        | s1(X1) )
    | ~ spl27_46 ),
    inference(resolution,[],[f1960,f230]) ).

fof(f2005,plain,
    ( ! [X0,X1] :
        ( gt(n0,X0)
        | s2(X0)
        | s3(X0)
        | s1(X0)
        | gt(n0,X1)
        | drugsu(X1) )
    | ~ spl27_46 ),
    inference(resolution,[],[f1977,f161]) ).

fof(f2028,definition,
    ( spl27_133
  <=> ! [X1] :
        ( gt(n0,X1)
        | drugsu(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl27_133])],[avatar_definition]) ).

fof(f2029,plain,
    ( ! [X1] :
        ( drugsu(X1)
        | gt(n0,X1) )
    | ~ spl27_133 ),
    inference(avatar_component_clause,[],[f2028]) ).

fof(f2031,definition,
    ( spl27_134
  <=> ! [X0] :
        ( gt(n0,X0)
        | s1(X0)
        | s3(X0)
        | s2(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl27_134])],[avatar_definition]) ).

fof(f2032,plain,
    ( ! [X0] :
        ( s3(X0)
        | s1(X0)
        | gt(n0,X0)
        | s2(X0) )
    | ~ spl27_134 ),
    inference(avatar_component_clause,[],[f2031]) ).

fof(f2033,plain,
    ( spl27_133
    | spl27_134
    | ~ spl27_46 ),
    inference(avatar_split_clause,[],[f2005,f730,f2031,f2028]) ).

fof(f2107,plain,
    ( s1(n0)
    | gt(n0,n0)
    | s2(n0)
    | spl27_34
    | ~ spl27_134 ),
    inference(resolution,[],[f2032,f604]) ).

fof(f2109,plain,
    ( gt(n0,n0)
    | s2(n0)
    | spl27_33
    | spl27_34
    | ~ spl27_134 ),
    inference(forward_subsumption_resolution,[],[f2107,f600]) ).

fof(f2111,plain,
    ( s2(n0)
    | spl27_33
    | spl27_34
    | ~ spl27_134 ),
    inference(forward_subsumption_resolution,[],[f2109,f222]) ).

fof(f2113,plain,
    ( $false
    | spl27_33
    | spl27_34
    | spl27_35
    | ~ spl27_134 ),
    inference(forward_subsumption_resolution,[],[f2111,f608]) ).

fof(f2114,plain,
    ( spl27_33
    | spl27_34
    | spl27_35
    | ~ spl27_134 ),
    inference(avatar_contradiction_clause,[],[f2113]) ).

fof(f2120,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | s2(X0)
        | s3(X0)
        | s1(X0) )
    | ~ spl27_133 ),
    inference(resolution,[],[f2029,f230]) ).

fof(f2122,plain,
    ( spl27_134
    | ~ spl27_133 ),
    inference(avatar_split_clause,[],[f2120,f2028,f2031]) ).

cnf(s2,plain,
    ( ~ spl27_2
    | ~ spl27_3
    | spl27_4 ),
    inference(sat_conversion,[],[f262]) ).

cnf(s3,plain,
    ( ~ spl27_2
    | spl27_4
    | spl27_5 ),
    inference(sat_conversion,[],[f267]) ).

cnf(s23,plain,
    ( ~ spl27_20
    | spl27_33
    | spl27_34
    | spl27_35 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s25,plain,
    ~ spl27_34,
    inference(sat_conversion,[],[f620]) ).

cnf(s27,plain,
    ~ spl27_35,
    inference(sat_conversion,[],[f640]) ).

cnf(s34,plain,
    ~ spl27_33,
    inference(sat_conversion,[],[f679]) ).

cnf(s39,plain,
    ( spl27_21
    | spl27_23
    | ~ spl27_36
    | spl27_46 ),
    inference(sat_conversion,[],[f732]) ).

cnf(s67,plain,
    ( spl27_3
    | ~ spl27_5
    | spl27_30 ),
    inference(sat_conversion,[],[f1090]) ).

cnf(s76,plain,
    ( ~ spl27_21
    | spl27_48 ),
    inference(sat_conversion,[],[f1228]) ).

cnf(s103,plain,
    ( spl27_95
    | ~ spl27_48
    | spl27_95 ),
    inference(sat_conversion,[],[f1452]) ).

cnf(s104,plain,
    ( ~ spl27_48
    | spl27_95 ),
    inference(rat,[],[s103]) ).

cnf(s108,plain,
    ( spl27_20
    | ~ spl27_95 ),
    inference(sat_conversion,[],[f1500]) ).

cnf(s115,plain,
    ( spl27_2
    | spl27_36
    | spl27_45 ),
    inference(sat_conversion,[],[f1561]) ).

cnf(s123,plain,
    ( ~ spl27_4
    | spl27_30 ),
    inference(sat_conversion,[],[f1636]) ).

cnf(s152,plain,
    ( spl27_95
    | ~ spl27_75
    | spl27_95
    | spl27_128 ),
    inference(sat_conversion,[],[f1886]) ).

cnf(s153,plain,
    ( ~ spl27_75
    | spl27_95
    | spl27_128 ),
    inference(rat,[],[s152]) ).

cnf(s154,plain,
    ~ spl27_128,
    inference(sat_conversion,[],[f1907]) ).

cnf(s156,plain,
    ( ~ spl27_23
    | spl27_75 ),
    inference(sat_conversion,[],[f1909]) ).

cnf(s160,plain,
    ( spl27_21
    | spl27_23
    | ~ spl27_45
    | spl27_46 ),
    inference(sat_conversion,[],[f1924]) ).

cnf(s161,plain,
    ( ~ spl27_30
    | spl27_36
    | spl27_45 ),
    inference(sat_conversion,[],[f1953]) ).

cnf(s164,plain,
    ( ~ spl27_46
    | spl27_133
    | spl27_134 ),
    inference(sat_conversion,[],[f2033]) ).

cnf(s171,plain,
    ( spl27_33
    | spl27_34
    | spl27_35
    | ~ spl27_134 ),
    inference(sat_conversion,[],[f2114]) ).

cnf(s173,plain,
    ( ~ spl27_133
    | spl27_134 ),
    inference(sat_conversion,[],[f2122]) ).

cnf(s174,plain,
    ( ~ spl27_75
    | spl27_95 ),
    inference(rat,[],[s153,s154]) ).

cnf(s175,plain,
    ~ spl27_134,
    inference(rat,[],[s171,s27,s34,s25]) ).

cnf(s176,plain,
    ~ spl27_133,
    inference(rat,[],[s173,s175]) ).

cnf(s178,plain,
    ~ spl27_46,
    inference(rat,[],[s164,s175,s176]) ).

cnf(s181,plain,
    ~ spl27_20,
    inference(rat,[],[s23,s27,s25,s34]) ).

cnf(s182,plain,
    ~ spl27_95,
    inference(rat,[],[s108,s181]) ).

cnf(s184,plain,
    ~ spl27_75,
    inference(rat,[],[s174,s182]) ).

cnf(s185,plain,
    ~ spl27_48,
    inference(rat,[],[s104,s182]) ).

cnf(s186,plain,
    ~ spl27_23,
    inference(rat,[],[s156,s184]) ).

cnf(s188,plain,
    ~ spl27_21,
    inference(rat,[],[s76,s185]) ).

cnf(s190,plain,
    ~ spl27_45,
    inference(rat,[],[s160,s178,s186,s188]) ).

cnf(s191,plain,
    ~ spl27_36,
    inference(rat,[],[s39,s178,s186,s188]) ).

cnf(s193,plain,
    ~ spl27_30,
    inference(rat,[],[s161,s190,s191]) ).

cnf(s194,plain,
    spl27_2,
    inference(rat,[],[s115,s190,s191]) ).

cnf(s195,plain,
    ~ spl27_4,
    inference(rat,[],[s123,s193]) ).

cnf(s205,plain,
    spl27_5,
    inference(rat,[],[s3,s195,s194]) ).

cnf(s206,plain,
    spl27_3,
    inference(rat,[],[s67,s193,s205]) ).

cnf(s207,plain,
    $false,
    inference(rat,[],[s2,s195,s206,s194]) ).

fof(f2123,plain,
    $false,
    inference(avatar_sat_refutation,[],[s207]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MED005+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n020.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 17:16:08 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.62/1.51  % (3624698)Detected formulas, will run a generic FOF schedule.
% 2.62/1.51  % (3624708)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1978712164:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.62/1.51  % (3624709)dis-21_1_sil=8000:lcm=predicate:random_seed=1418302223:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.62/1.51  % (3624706)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2522594863:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.62/1.51  % (3624707)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2750253605:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.62/1.51  % (3624703)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2020831448:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.62/1.51  % (3624705)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2644777443:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.62/1.51  % (3624704)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2673611325:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.62/1.51  % (3624706)Refutation not found, incomplete strategy
% 2.62/1.51  % (3624706)------------------------------
% 2.62/1.51  % (3624706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.51  % (3624706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.51  % (3624706)CaDiCaL version: 2.1.3
% 2.62/1.51  % (3624706)Termination reason: Refutation not found, incomplete strategy
% 2.62/1.51  % (3624706)Time elapsed: 0.001 s
% 2.62/1.51  % (3624706)Peak memory usage: 87 MB
% 2.62/1.51  % (3624708)Instruction limit reached! 
% 2.62/1.51  % (3624708)------------------------------
% 2.62/1.51  % (3624708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.51  % (3624708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.51  % (3624708)CaDiCaL version: 2.1.3
% 2.62/1.51  % (3624708)Termination reason: Instruction limit
% 2.62/1.51  % (3624708)Termination phase: Saturation
% 2.62/1.51  % (3624708)Time elapsed: 0.042 s
% 2.62/1.51  % (3624708)Peak memory usage: 89 MB
% 2.62/1.51  % (3624708)Instructions burned: 141 (million)
% 2.62/1.51  % (3624707)Instruction limit reached! 
% 2.62/1.51  % (3624707)------------------------------
% 2.62/1.51  % (3624707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.51  % (3624707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.51  % (3624707)CaDiCaL version: 2.1.3
% 2.62/1.51  % (3624707)Termination reason: Instruction limit
% 2.62/1.51  % (3624707)Termination phase: Saturation
% 2.62/1.51  % (3624707)Time elapsed: 0.042 s
% 2.62/1.51  % (3624707)Peak memory usage: 87 MB
% 2.62/1.51  % (3624707)Instructions burned: 120 (million)
% 2.62/1.51  % (3624709)Instruction limit reached! 
% 2.62/1.51  % (3624709)------------------------------
% 2.62/1.51  % (3624709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.51  % (3624709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.51  % (3624709)CaDiCaL version: 2.1.3
% 2.62/1.51  % (3624709)Termination reason: Instruction limit
% 2.62/1.51  % (3624709)Termination phase: Saturation
% 2.62/1.51  % (3624709)Time elapsed: 0.065 s
% 2.62/1.51  % (3624709)Peak memory usage: 88 MB
% 2.62/1.51  % (3624709)Instructions burned: 130 (million)
% 2.62/1.51  % (3624718)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4283075484:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 2.62/1.51  % (3624718)Refutation not found, incomplete strategy
% 2.62/1.51  % (3624718)------------------------------
% 2.62/1.51  % (3624718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.51  % (3624718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.51  % (3624718)CaDiCaL version: 2.1.3
% 2.62/1.51  % (3624718)Termination reason: Refutation not found, incomplete strategy
% 2.62/1.51  % (3624718)Time elapsed: 0.001 s
% 2.62/1.51  % (3624718)Peak memory usage: 88 MB
% 2.62/1.51  % (3624718)Instructions burned: 1 (million)
% 2.62/1.51  % (3624717)lrs+10_1_sil=8000:sp=occurrence:random_seed=1292141519:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.62/1.51  % (3624719)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1532770454:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.62/1.51  % (3624706)------------------------------
% 2.62/1.51  % (3624706)------------------------------
% 2.62/1.51  % (3624719)First to succeed.
% 2.62/1.51  % (3624719)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3624698"
% 2.62/1.51  % (3624717)Instruction limit reached! 
% 2.62/1.51  % (3624717)------------------------------
% 2.62/1.51  % (3624717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.51  % (3624717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.51  % (3624717)CaDiCaL version: 2.1.3
% 2.62/1.51  % (3624717)Termination reason: Instruction limit
% 2.62/1.51  % (3624717)Termination phase: Saturation
% 2.62/1.51  % (3624717)Time elapsed: 0.132 s
% 2.62/1.51  % (3624717)Peak memory usage: 89 MB
% 2.62/1.51  % (3624717)Instructions burned: 285 (million)
% 2.62/1.51  % (3624718)------------------------------
% 2.62/1.51  % (3624718)------------------------------
% 2.62/1.51  % (3624725)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4114429972:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 2.62/1.51  % (3624723)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4200265984:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 2.62/1.51  % (3624724)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2289536610:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 2.62/1.51  % (3624723)Also succeeded, but the first one will report.
% 2.62/1.51  % (3624719)Refutation found. Thanks to Tanya!
% 2.62/1.51  % SZS status Theorem for theBenchmark
% 2.62/1.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.71  % (3624719)------------------------------
% 0.16/1.71  % (3624719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.71  % (3624719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.71  % (3624719)CaDiCaL version: 2.1.3
% 0.16/1.71  % (3624719)Termination reason: Refutation
% 0.16/1.71  % (3624719)Time elapsed: 0.058 s
% 0.16/1.71  % (3624719)Peak memory usage: 90 MB
% 0.16/1.71  % (3624719)Instructions burned: 89 (million)
% 0.16/1.71  % (3624719)------------------------------
% 0.16/1.71  % (3624719)------------------------------
% 0.16/1.71  % (3624698)Success in time 0.654 s
% 0.16/1.71  % Vampire exiting
%------------------------------------------------------------------------------