TSTP Solution File: MED008+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : MED008+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 07:56:26 EDT 2024

% Result   : Theorem 0.12s 0.55s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  103 (   8 unt;   0 def)
%            Number of atoms       :  492 (   0 equ)
%            Maximal formula atoms :   30 (   4 avg)
%            Number of connectives :  580 ( 191   ~; 205   |; 124   &)
%                                         (   8 <=>;  52  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   27 (  26 usr;   9 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :  190 ( 180   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1200,plain,
    $false,
    inference(avatar_sat_refutation,[],[f595,f622,f647,f680,f692,f790,f810,f849,f1179]) ).

fof(f1179,plain,
    ( spl28_10
    | ~ spl28_24 ),
    inference(avatar_split_clause,[],[f1178,f504,f382]) ).

fof(f382,plain,
    ( spl28_10
  <=> ! [X0] :
        ( gt(n0,X0)
        | drugi(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl28_10])]) ).

fof(f504,plain,
    ( spl28_24
  <=> ! [X0] :
        ( gt(n0,X0)
        | uptakepg(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl28_24])]) ).

fof(f1178,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | drugi(X0) )
    | ~ spl28_24 ),
    inference(subsumption_resolution,[],[f1170,f268]) ).

fof(f268,plain,
    ! [X0,X1] :
      ( ~ uptakepg(sK21(X0))
      | gt(X0,X1)
      | drugi(X1) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f176,plain,
    ! [X0] :
      ( ! [X1] :
          ( drugi(X1)
          | gt(X0,X1) )
      | ( ~ uptakepg(sK21(X0))
        & ~ gt(X0,sK21(X0))
        & ~ uptakelg(sK22(X0))
        & ~ gt(X0,sK22(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f173,f175,f174]) ).

fof(f174,plain,
    ! [X0] :
      ( ? [X2] :
          ( ~ uptakepg(X2)
          & ~ gt(X0,X2) )
     => ( ~ uptakepg(sK21(X0))
        & ~ gt(X0,sK21(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f175,plain,
    ! [X0] :
      ( ? [X3] :
          ( ~ uptakelg(X3)
          & ~ gt(X0,X3) )
     => ( ~ uptakelg(sK22(X0))
        & ~ gt(X0,sK22(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f173,plain,
    ! [X0] :
      ( ! [X1] :
          ( drugi(X1)
          | gt(X0,X1) )
      | ( ? [X2] :
            ( ~ uptakepg(X2)
            & ~ gt(X0,X2) )
        & ? [X3] :
            ( ~ uptakelg(X3)
            & ~ gt(X0,X3) ) ) ),
    inference(rectify,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ! [X3] :
          ( drugi(X3)
          | gt(X0,X3) )
      | ( ? [X1] :
            ( ~ uptakepg(X1)
            & ~ gt(X0,X1) )
        & ? [X2] :
            ( ~ uptakelg(X2)
            & ~ gt(X0,X2) ) ) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ gt(X0,X1)
           => uptakepg(X1) )
        | ! [X2] :
            ( ~ gt(X0,X2)
           => uptakelg(X2) ) )
     => ! [X3] :
          ( ~ gt(X0,X3)
         => drugi(X3) ) ),
    inference(rectify,[],[f34]) ).

fof(f34,axiom,
    ! [X3] :
      ( ( ! [X4] :
            ( ~ gt(X3,X4)
           => uptakepg(X4) )
        | ! [X4] :
            ( ~ gt(X3,X4)
           => uptakelg(X4) ) )
     => ! [X4] :
          ( ~ gt(X3,X4)
         => drugi(X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',insulin_completion) ).

fof(f1170,plain,
    ( ! [X0] :
        ( uptakepg(sK21(n0))
        | gt(n0,X0)
        | drugi(X0) )
    | ~ spl28_24 ),
    inference(resolution,[],[f505,f267]) ).

fof(f267,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK21(X0))
      | gt(X0,X1)
      | drugi(X1) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f505,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | uptakepg(X0) )
    | ~ spl28_24 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f849,plain,
    ( spl28_15
    | ~ spl28_20 ),
    inference(avatar_split_clause,[],[f842,f460,f416]) ).

fof(f416,plain,
    ( spl28_15
  <=> ! [X0] :
        ( gt(n0,X0)
        | uptakelg(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl28_15])]) ).

fof(f460,plain,
    ( spl28_20
  <=> ! [X0] :
        ( gt(n0,X0)
        | ~ releaselg(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl28_20])]) ).

fof(f842,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | uptakelg(X0) )
    | ~ spl28_20 ),
    inference(resolution,[],[f461,f330]) ).

fof(f330,plain,
    ! [X0] :
      ( releaselg(X0)
      | uptakelg(X0) ),
    inference(resolution,[],[f299,f204]) ).

fof(f204,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f299,plain,
    ! [X0,X1] :
      ( gt(X0,X1)
      | releaselg(X1)
      | uptakelg(X1) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( uptakelg(X1)
      | releaselg(X1)
      | gt(X0,X1) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( uptakelg(X1)
      | releaselg(X1)
      | gt(X0,X1) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
     => ( ~ releaselg(X1)
       => uptakelg(X1) ) ),
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X3,X4] :
      ( ~ gt(X3,X4)
     => ( ~ releaselg(X4)
       => uptakelg(X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',uptake_completion) ).

fof(f461,plain,
    ( ! [X0] :
        ( ~ releaselg(X0)
        | gt(n0,X0) )
    | ~ spl28_20 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f810,plain,
    ( spl28_20
    | spl28_24
    | ~ spl28_29 ),
    inference(avatar_split_clause,[],[f806,f592,f504,f460]) ).

fof(f592,plain,
    ( spl28_29
  <=> sP4(n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl28_29])]) ).

fof(f806,plain,
    ( ! [X0,X1] :
        ( gt(n0,X0)
        | ~ releaselg(X1)
        | gt(n0,X1)
        | uptakepg(X0) )
    | ~ spl28_29 ),
    inference(resolution,[],[f594,f285]) ).

fof(f285,plain,
    ! [X3,X0,X4] :
      ( ~ sP4(X0)
      | gt(X0,X3)
      | ~ releaselg(X4)
      | gt(X0,X4)
      | uptakepg(X3) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f192,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( conditionhyper(X1)
            | ~ gt(X0,X1) )
        & ! [X2] :
            ( bsecretioni(X2)
            | gt(X0,X2) )
        & bcapacityne(X0)
        & ( ! [X3] :
              ( uptakepg(X3)
              | gt(X0,X3) )
          | ! [X4] :
              ( ~ releaselg(X4)
              | gt(X0,X4) ) ) )
      | ~ sP4(X0) ),
    inference(rectify,[],[f191]) ).

fof(f191,plain,
    ! [X0] :
      ( ( ! [X5] :
            ( conditionhyper(X5)
            | ~ gt(X0,X5) )
        & ! [X6] :
            ( bsecretioni(X6)
            | gt(X0,X6) )
        & bcapacityne(X0)
        & ( ! [X7] :
              ( uptakepg(X7)
              | gt(X0,X7) )
          | ! [X8] :
              ( ~ releaselg(X8)
              | gt(X0,X8) ) ) )
      | ~ sP4(X0) ),
    inference(nnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( ( ! [X5] :
            ( conditionhyper(X5)
            | ~ gt(X0,X5) )
        & ! [X6] :
            ( bsecretioni(X6)
            | gt(X0,X6) )
        & bcapacityne(X0)
        & ( ! [X7] :
              ( uptakepg(X7)
              | gt(X0,X7) )
          | ! [X8] :
              ( ~ releaselg(X8)
              | gt(X0,X8) ) ) )
      | ~ sP4(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f594,plain,
    ( sP4(n0)
    | ~ spl28_29 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f790,plain,
    ~ spl28_10,
    inference(avatar_contradiction_clause,[],[f789]) ).

fof(f789,plain,
    ( $false
    | ~ spl28_10 ),
    inference(subsumption_resolution,[],[f786,f199]) ).

fof(f199,plain,
    s1(n0),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ( ! [X0] :
        ( conditionnormo(X0)
        | gt(n0,X0) )
    & ~ qilt27(n0)
    & ~ bcapacitysn(n0)
    & ! [X1] :
        ( conditionhyper(X1)
        | ~ gt(n0,X1) )
    & s1(n0) ),
    inference(rectify,[],[f84]) ).

fof(f84,plain,
    ( ! [X1] :
        ( conditionnormo(X1)
        | gt(n0,X1) )
    & ~ qilt27(n0)
    & ~ bcapacitysn(n0)
    & ! [X0] :
        ( conditionhyper(X0)
        | ~ gt(n0,X0) )
    & s1(n0) ),
    inference(flattening,[],[f83]) ).

fof(f83,plain,
    ( ! [X1] :
        ( conditionnormo(X1)
        | gt(n0,X1) )
    & ~ qilt27(n0)
    & ~ bcapacitysn(n0)
    & ! [X0] :
        ( conditionhyper(X0)
        | ~ gt(n0,X0) )
    & s1(n0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,plain,
    ~ ( ( ~ qilt27(n0)
        & ~ bcapacitysn(n0)
        & ! [X0] :
            ( gt(n0,X0)
           => conditionhyper(X0) )
        & s1(n0) )
     => ~ ! [X1] :
            ( ~ gt(n0,X1)
           => conditionnormo(X1) ) ),
    inference(rectify,[],[f42]) ).

fof(f42,negated_conjecture,
    ~ ( ( ~ qilt27(n0)
        & ~ bcapacitysn(n0)
        & ! [X3] :
            ( gt(n0,X3)
           => conditionhyper(X3) )
        & s1(n0) )
     => ~ ! [X3] :
            ( ~ gt(n0,X3)
           => conditionnormo(X3) ) ),
    inference(negated_conjecture,[],[f41]) ).

fof(f41,conjecture,
    ( ( ~ qilt27(n0)
      & ~ bcapacitysn(n0)
      & ! [X3] :
          ( gt(n0,X3)
         => conditionhyper(X3) )
      & s1(n0) )
   => ~ ! [X3] :
          ( ~ gt(n0,X3)
         => conditionnormo(X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unsuccessfuls1_qige27) ).

fof(f786,plain,
    ( ~ s1(n0)
    | ~ spl28_10 ),
    inference(resolution,[],[f784,f214]) ).

fof(f214,plain,
    ! [X0] :
      ( ~ s3(X0)
      | ~ s1(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( ~ s3(X0)
      | ~ s1(X0) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X3] :
      ( ~ s3(X3)
      | ~ s1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep6) ).

fof(f784,plain,
    ( s3(n0)
    | ~ spl28_10 ),
    inference(resolution,[],[f759,f220]) ).

fof(f220,plain,
    ! [X0] :
      ( ~ drugi(X0)
      | s3(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( s3(X0)
      | ~ drugi(X0) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( drugi(X0)
     => s3(X0) ),
    inference(rectify,[],[f33]) ).

fof(f33,axiom,
    ! [X3] :
      ( drugi(X3)
     => s3(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',insulincomp) ).

fof(f759,plain,
    ( drugi(n0)
    | ~ spl28_10 ),
    inference(resolution,[],[f383,f204]) ).

fof(f383,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | drugi(X0) )
    | ~ spl28_10 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f692,plain,
    ( spl28_24
    | ~ spl28_26 ),
    inference(avatar_split_clause,[],[f689,f580,f504]) ).

fof(f580,plain,
    ( spl28_26
  <=> sP5(n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl28_26])]) ).

fof(f689,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | uptakepg(X0) )
    | ~ spl28_26 ),
    inference(resolution,[],[f582,f282]) ).

fof(f282,plain,
    ! [X2,X0] :
      ( ~ sP5(X0)
      | gt(X0,X2)
      | uptakepg(X2) ),
    inference(cnf_transformation,[],[f190]) ).

fof(f190,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( conditionhyper(X1)
            | ~ gt(X0,X1) )
        & bcapacityex(X0)
        & ! [X2] :
            ( uptakepg(X2)
            | gt(X0,X2) )
        & ! [X3] :
            ( uptakelg(X3)
            | gt(X0,X3) ) )
      | ~ sP5(X0) ),
    inference(rectify,[],[f189]) ).

fof(f189,plain,
    ! [X0] :
      ( ( ! [X2] :
            ( conditionhyper(X2)
            | ~ gt(X0,X2) )
        & bcapacityex(X0)
        & ! [X3] :
            ( uptakepg(X3)
            | gt(X0,X3) )
        & ! [X4] :
            ( uptakelg(X4)
            | gt(X0,X4) ) )
      | ~ sP5(X0) ),
    inference(nnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0] :
      ( ( ! [X2] :
            ( conditionhyper(X2)
            | ~ gt(X0,X2) )
        & bcapacityex(X0)
        & ! [X3] :
            ( uptakepg(X3)
            | gt(X0,X3) )
        & ! [X4] :
            ( uptakelg(X4)
            | gt(X0,X4) ) )
      | ~ sP5(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f582,plain,
    ( sP5(n0)
    | ~ spl28_26 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f680,plain,
    ~ spl28_28,
    inference(avatar_contradiction_clause,[],[f679]) ).

fof(f679,plain,
    ( $false
    | ~ spl28_28 ),
    inference(subsumption_resolution,[],[f677,f201]) ).

fof(f201,plain,
    ~ bcapacitysn(n0),
    inference(cnf_transformation,[],[f135]) ).

fof(f677,plain,
    ( bcapacitysn(n0)
    | ~ spl28_28 ),
    inference(resolution,[],[f590,f290]) ).

fof(f290,plain,
    ! [X0] :
      ( ~ sP3(X0)
      | bcapacitysn(X0) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f194,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( conditionhyper(X1)
            | ~ gt(X0,X1) )
        & ~ qilt27(X0)
        & bcapacitysn(X0)
        & ! [X2] :
            ( ~ releaselg(X2)
            | gt(X0,X2) ) )
      | ~ sP3(X0) ),
    inference(rectify,[],[f193]) ).

fof(f193,plain,
    ! [X0] :
      ( ( ! [X9] :
            ( conditionhyper(X9)
            | ~ gt(X0,X9) )
        & ~ qilt27(X0)
        & bcapacitysn(X0)
        & ! [X10] :
            ( ~ releaselg(X10)
            | gt(X0,X10) ) )
      | ~ sP3(X0) ),
    inference(nnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( ( ! [X9] :
            ( conditionhyper(X9)
            | ~ gt(X0,X9) )
        & ~ qilt27(X0)
        & bcapacitysn(X0)
        & ! [X10] :
            ( ~ releaselg(X10)
            | gt(X0,X10) ) )
      | ~ sP3(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f590,plain,
    ( sP3(n0)
    | ~ spl28_28 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f588,plain,
    ( spl28_28
  <=> sP3(n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl28_28])]) ).

fof(f647,plain,
    ~ spl28_27,
    inference(avatar_contradiction_clause,[],[f646]) ).

fof(f646,plain,
    ( $false
    | ~ spl28_27 ),
    inference(subsumption_resolution,[],[f643,f201]) ).

fof(f643,plain,
    ( bcapacitysn(n0)
    | ~ spl28_27 ),
    inference(resolution,[],[f586,f294]) ).

fof(f294,plain,
    ! [X0] :
      ( ~ sP2(X0)
      | bcapacitysn(X0) ),
    inference(cnf_transformation,[],[f196]) ).

fof(f196,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( conditionhyper(X1)
            | ~ gt(X0,X1) )
        & qilt27(X0)
        & bcapacitysn(X0)
        & ! [X2] :
            ( bsecretioni(X2)
            | gt(X0,X2) ) )
      | ~ sP2(X0) ),
    inference(rectify,[],[f195]) ).

fof(f195,plain,
    ! [X0] :
      ( ( ! [X11] :
            ( conditionhyper(X11)
            | ~ gt(X0,X11) )
        & qilt27(X0)
        & bcapacitysn(X0)
        & ! [X12] :
            ( bsecretioni(X12)
            | gt(X0,X12) ) )
      | ~ sP2(X0) ),
    inference(nnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ( ! [X11] :
            ( conditionhyper(X11)
            | ~ gt(X0,X11) )
        & qilt27(X0)
        & bcapacitysn(X0)
        & ! [X12] :
            ( bsecretioni(X12)
            | gt(X0,X12) ) )
      | ~ sP2(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f586,plain,
    ( sP2(n0)
    | ~ spl28_27 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f584,plain,
    ( spl28_27
  <=> sP2(n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl28_27])]) ).

fof(f622,plain,
    ( spl28_10
    | ~ spl28_15 ),
    inference(avatar_split_clause,[],[f621,f416,f382]) ).

fof(f621,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | drugi(X0) )
    | ~ spl28_15 ),
    inference(subsumption_resolution,[],[f608,f266]) ).

fof(f266,plain,
    ! [X0,X1] :
      ( ~ uptakelg(sK22(X0))
      | gt(X0,X1)
      | drugi(X1) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f608,plain,
    ( ! [X0] :
        ( uptakelg(sK22(n0))
        | gt(n0,X0)
        | drugi(X0) )
    | ~ spl28_15 ),
    inference(resolution,[],[f417,f265]) ).

fof(f265,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK22(X0))
      | gt(X0,X1)
      | drugi(X1) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f417,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | uptakelg(X0) )
    | ~ spl28_15 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f595,plain,
    ( spl28_26
    | spl28_27
    | spl28_28
    | spl28_29 ),
    inference(avatar_split_clause,[],[f578,f592,f588,f584,f580]) ).

fof(f578,plain,
    ( sP4(n0)
    | sP3(n0)
    | sP2(n0)
    | sP5(n0) ),
    inference(subsumption_resolution,[],[f573,f298]) ).

fof(f298,plain,
    ! [X0] :
      ( ~ conditionnormo(sK27(X0))
      | sP4(X0)
      | sP3(X0)
      | sP2(X0)
      | sP5(X0) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f198,plain,
    ! [X0] :
      ( sP5(X0)
      | sP4(X0)
      | sP3(X0)
      | sP2(X0)
      | ( ~ conditionnormo(sK27(X0))
        & ~ gt(X0,sK27(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f134,f197]) ).

fof(f197,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ conditionnormo(X1)
          & ~ gt(X0,X1) )
     => ( ~ conditionnormo(sK27(X0))
        & ~ gt(X0,sK27(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f134,plain,
    ! [X0] :
      ( sP5(X0)
      | sP4(X0)
      | sP3(X0)
      | sP2(X0)
      | ? [X1] :
          ( ~ conditionnormo(X1)
          & ~ gt(X0,X1) ) ),
    inference(definition_folding,[],[f119,f133,f132,f131,f130]) ).

fof(f119,plain,
    ! [X0] :
      ( ( ! [X2] :
            ( conditionhyper(X2)
            | ~ gt(X0,X2) )
        & bcapacityex(X0)
        & ! [X3] :
            ( uptakepg(X3)
            | gt(X0,X3) )
        & ! [X4] :
            ( uptakelg(X4)
            | gt(X0,X4) ) )
      | ( ! [X5] :
            ( conditionhyper(X5)
            | ~ gt(X0,X5) )
        & ! [X6] :
            ( bsecretioni(X6)
            | gt(X0,X6) )
        & bcapacityne(X0)
        & ( ! [X7] :
              ( uptakepg(X7)
              | gt(X0,X7) )
          | ! [X8] :
              ( ~ releaselg(X8)
              | gt(X0,X8) ) ) )
      | ( ! [X9] :
            ( conditionhyper(X9)
            | ~ gt(X0,X9) )
        & ~ qilt27(X0)
        & bcapacitysn(X0)
        & ! [X10] :
            ( ~ releaselg(X10)
            | gt(X0,X10) ) )
      | ( ! [X11] :
            ( conditionhyper(X11)
            | ~ gt(X0,X11) )
        & qilt27(X0)
        & bcapacitysn(X0)
        & ! [X12] :
            ( bsecretioni(X12)
            | gt(X0,X12) ) )
      | ? [X1] :
          ( ~ conditionnormo(X1)
          & ~ gt(X0,X1) ) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ( ! [X2] :
            ( conditionhyper(X2)
            | ~ gt(X0,X2) )
        & bcapacityex(X0)
        & ! [X3] :
            ( uptakepg(X3)
            | gt(X0,X3) )
        & ! [X4] :
            ( uptakelg(X4)
            | gt(X0,X4) ) )
      | ( ! [X5] :
            ( conditionhyper(X5)
            | ~ gt(X0,X5) )
        & ! [X6] :
            ( bsecretioni(X6)
            | gt(X0,X6) )
        & bcapacityne(X0)
        & ( ! [X7] :
              ( uptakepg(X7)
              | gt(X0,X7) )
          | ! [X8] :
              ( ~ releaselg(X8)
              | gt(X0,X8) ) ) )
      | ( ! [X9] :
            ( conditionhyper(X9)
            | ~ gt(X0,X9) )
        & ~ qilt27(X0)
        & bcapacitysn(X0)
        & ! [X10] :
            ( ~ releaselg(X10)
            | gt(X0,X10) ) )
      | ( ! [X11] :
            ( conditionhyper(X11)
            | ~ gt(X0,X11) )
        & qilt27(X0)
        & bcapacitysn(X0)
        & ! [X12] :
            ( bsecretioni(X12)
            | gt(X0,X12) ) )
      | ? [X1] :
          ( ~ conditionnormo(X1)
          & ~ gt(X0,X1) ) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => conditionnormo(X1) )
     => ( ( ! [X2] :
              ( gt(X0,X2)
             => conditionhyper(X2) )
          & bcapacityex(X0)
          & ! [X3] :
              ( ~ gt(X0,X3)
             => uptakepg(X3) )
          & ! [X4] :
              ( ~ gt(X0,X4)
             => uptakelg(X4) ) )
        | ( ! [X5] :
              ( gt(X0,X5)
             => conditionhyper(X5) )
          & ! [X6] :
              ( ~ gt(X0,X6)
             => bsecretioni(X6) )
          & bcapacityne(X0)
          & ( ! [X7] :
                ( ~ gt(X0,X7)
               => uptakepg(X7) )
            | ! [X8] :
                ( ~ gt(X0,X8)
               => ~ releaselg(X8) ) ) )
        | ( ! [X9] :
              ( gt(X0,X9)
             => conditionhyper(X9) )
          & ~ qilt27(X0)
          & bcapacitysn(X0)
          & ! [X10] :
              ( ~ gt(X0,X10)
             => ~ releaselg(X10) ) )
        | ( ! [X11] :
              ( gt(X0,X11)
             => conditionhyper(X11) )
          & qilt27(X0)
          & bcapacitysn(X0)
          & ! [X12] :
              ( ~ gt(X0,X12)
             => bsecretioni(X12) ) ) ) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X3] :
      ( ! [X4] :
          ( ~ gt(X3,X4)
         => conditionnormo(X4) )
     => ( ( ! [X4] :
              ( gt(X3,X4)
             => conditionhyper(X4) )
          & bcapacityex(X3)
          & ! [X4] :
              ( ~ gt(X3,X4)
             => uptakepg(X4) )
          & ! [X4] :
              ( ~ gt(X3,X4)
             => uptakelg(X4) ) )
        | ( ! [X4] :
              ( gt(X3,X4)
             => conditionhyper(X4) )
          & ! [X4] :
              ( ~ gt(X3,X4)
             => bsecretioni(X4) )
          & bcapacityne(X3)
          & ( ! [X4] :
                ( ~ gt(X3,X4)
               => uptakepg(X4) )
            | ! [X4] :
                ( ~ gt(X3,X4)
               => ~ releaselg(X4) ) ) )
        | ( ! [X4] :
              ( gt(X3,X4)
             => conditionhyper(X4) )
          & ~ qilt27(X3)
          & bcapacitysn(X3)
          & ! [X4] :
              ( ~ gt(X3,X4)
             => ~ releaselg(X4) ) )
        | ( ! [X4] :
              ( gt(X3,X4)
             => conditionhyper(X4) )
          & qilt27(X3)
          & bcapacitysn(X3)
          & ! [X4] :
              ( ~ gt(X3,X4)
             => bsecretioni(X4) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',normo) ).

fof(f573,plain,
    ( sP4(n0)
    | sP3(n0)
    | sP2(n0)
    | sP5(n0)
    | conditionnormo(sK27(n0)) ),
    inference(resolution,[],[f297,f203]) ).

fof(f203,plain,
    ! [X0] :
      ( gt(n0,X0)
      | conditionnormo(X0) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f297,plain,
    ! [X0] :
      ( ~ gt(X0,sK27(X0))
      | sP4(X0)
      | sP3(X0)
      | sP2(X0)
      | sP5(X0) ),
    inference(cnf_transformation,[],[f198]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.27  % Problem    : MED008+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.29  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.51  % Computer : n005.cluster.edu
% 0.12/0.51  % Model    : x86_64 x86_64
% 0.12/0.51  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.51  % Memory   : 8042.1875MB
% 0.12/0.51  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.51  % CPULimit   : 300
% 0.12/0.51  % WCLimit    : 300
% 0.12/0.51  % DateTime   : Fri May  3 13:59:11 EDT 2024
% 0.12/0.51  % CPUTime    : 
% 0.12/0.51  % (23212)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.53  % (23216)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.53  % (23218)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.53  % (23217)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.53  % (23215)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.12/0.53  % (23214)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.53  % (23219)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.53  % (23213)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.53  TRYING [1]
% 0.12/0.53  TRYING [2]
% 0.12/0.53  TRYING [1]
% 0.12/0.53  TRYING [2]
% 0.12/0.53  TRYING [3]
% 0.12/0.53  TRYING [1]
% 0.12/0.54  TRYING [1]
% 0.12/0.54  TRYING [3]
% 0.12/0.54  TRYING [2]
% 0.12/0.54  TRYING [2]
% 0.12/0.54  TRYING [3]
% 0.12/0.54  TRYING [4]
% 0.12/0.54  TRYING [3]
% 0.12/0.54  TRYING [4]
% 0.12/0.54  % (23218)First to succeed.
% 0.12/0.54  TRYING [4]
% 0.12/0.54  TRYING [5]
% 0.12/0.55  TRYING [4]
% 0.12/0.55  % (23218)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23212"
% 0.12/0.55  TRYING [5]
% 0.12/0.55  % (23218)Refutation found. Thanks to Tanya!
% 0.12/0.55  % SZS status Theorem for theBenchmark
% 0.12/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.55  % (23218)------------------------------
% 0.12/0.55  % (23218)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.55  % (23218)Termination reason: Refutation
% 0.12/0.55  
% 0.12/0.55  % (23218)Memory used [KB]: 1220
% 0.12/0.55  % (23218)Time elapsed: 0.019 s
% 0.12/0.55  % (23218)Instructions burned: 32 (million)
% 0.12/0.55  % (23212)Success in time 0.036 s
%------------------------------------------------------------------------------