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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : MED003+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n003.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 12:01:39 PM UTC 2026

% Result   : Theorem 0.10s 0.44s
% Output   : Refutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   93 (  14 unt;   6 def)
%            Number of atoms       :  390 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  456 ( 159   ~; 211   |;  52   &)
%                                         (   6 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   15 (  14 usr;   7 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-1 aty)
%            Number of variables   :  107 (   0 sgn  93   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,axiom,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => drugi(X1) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => ( uptakelg(X1)
            & uptakepg(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',insulin_effect) ).

fof(f18,axiom,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ gt(X0,X1)
           => uptakelg(X1) )
        & ! [X1] :
            ( ~ gt(X0,X1)
           => uptakepg(X1) )
        & bcapacityex(X0)
        & ! [X1] :
            ( gt(X0,X1)
           => conditionhyper(X1) ) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => ( conditionnormo(X1)
            | conditionhypo(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',ex_cure) ).

fof(f19,conjecture,
    ( ( ! [X0] :
          ( ~ gt(n0,X0)
         => drugi(X0) )
      & ! [X0] :
          ( gt(n0,X0)
         => conditionhyper(X0) )
      & bcapacityex(n0) )
   => ! [X0] :
        ( ~ gt(n0,X0)
       => ( conditionnormo(X0)
          | conditionhypo(X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',treatmentex) ).

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

fof(f21,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => drugi(X1) )
     => ! [X2] :
          ( ~ gt(X0,X2)
         => ( uptakelg(X2)
            & uptakepg(X2) ) ) ),
    inference(rectify,[],[f11]) ).

fof(f27,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ gt(X0,X1)
           => uptakelg(X1) )
        & ! [X2] :
            ( ~ gt(X0,X2)
           => uptakepg(X2) )
        & bcapacityex(X0)
        & ! [X3] :
            ( gt(X0,X3)
           => conditionhyper(X3) ) )
     => ! [X4] :
          ( ~ gt(X0,X4)
         => ( conditionnormo(X4)
            | conditionhypo(X4) ) ) ),
    inference(rectify,[],[f18]) ).

fof(f28,plain,
    ~ ( ( ! [X0] :
            ( ~ gt(n0,X0)
           => drugi(X0) )
        & ! [X1] :
            ( gt(n0,X1)
           => conditionhyper(X1) )
        & bcapacityex(n0) )
     => ! [X2] :
          ( ~ gt(n0,X2)
         => ( conditionnormo(X2)
            | conditionhypo(X2) ) ) ),
    inference(rectify,[],[f20]) ).

fof(f33,plain,
    ! [X0] :
      ( ! [X2] :
          ( ( uptakelg(X2)
            & uptakepg(X2) )
          | gt(X0,X2) )
      | ? [X1] :
          ( ~ drugi(X1)
          & ~ gt(X0,X1) ) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f45,plain,
    ! [X0] :
      ( ! [X4] :
          ( conditionnormo(X4)
          | conditionhypo(X4)
          | gt(X0,X4) )
      | ? [X1] :
          ( ~ uptakelg(X1)
          & ~ gt(X0,X1) )
      | ? [X2] :
          ( ~ uptakepg(X2)
          & ~ gt(X0,X2) )
      | ~ bcapacityex(X0)
      | ? [X3] :
          ( ~ conditionhyper(X3)
          & gt(X0,X3) ) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f46,plain,
    ! [X0] :
      ( ! [X4] :
          ( conditionnormo(X4)
          | conditionhypo(X4)
          | gt(X0,X4) )
      | ? [X1] :
          ( ~ uptakelg(X1)
          & ~ gt(X0,X1) )
      | ? [X2] :
          ( ~ uptakepg(X2)
          & ~ gt(X0,X2) )
      | ~ bcapacityex(X0)
      | ? [X3] :
          ( ~ conditionhyper(X3)
          & gt(X0,X3) ) ),
    inference(flattening,[],[f45]) ).

fof(f47,plain,
    ( ? [X2] :
        ( ~ conditionnormo(X2)
        & ~ conditionhypo(X2)
        & ~ gt(n0,X2) )
    & ! [X0] :
        ( drugi(X0)
        | gt(n0,X0) )
    & ! [X1] :
        ( conditionhyper(X1)
        | ~ gt(n0,X1) )
    & bcapacityex(n0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f48,plain,
    ( ? [X2] :
        ( ~ conditionnormo(X2)
        & ~ conditionhypo(X2)
        & ~ gt(n0,X2) )
    & ! [X0] :
        ( drugi(X0)
        | gt(n0,X0) )
    & ! [X1] :
        ( conditionhyper(X1)
        | ~ gt(n0,X1) )
    & bcapacityex(n0) ),
    inference(flattening,[],[f47]) ).

fof(f51,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( uptakelg(X1)
            & uptakepg(X1) )
          | gt(X0,X1) )
      | ? [X2] :
          ( ~ drugi(X2)
          & ~ gt(X0,X2) ) ),
    inference(rectify,[],[f33]) ).

fof(f52,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( uptakelg(X1)
            & uptakepg(X1) )
          | gt(X0,X1) )
      | ( ~ drugi(sK1(X0))
        & ~ gt(X0,sK1(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0))],[f51]) ).

fof(f65,plain,
    ! [X0] :
      ( ! [X1] :
          ( conditionnormo(X1)
          | conditionhypo(X1)
          | gt(X0,X1) )
      | ? [X2] :
          ( ~ uptakelg(X2)
          & ~ gt(X0,X2) )
      | ? [X3] :
          ( ~ uptakepg(X3)
          & ~ gt(X0,X3) )
      | ~ bcapacityex(X0)
      | ? [X4] :
          ( ~ conditionhyper(X4)
          & gt(X0,X4) ) ),
    inference(rectify,[],[f46]) ).

fof(f66,plain,
    ! [X0] :
      ( ! [X1] :
          ( conditionnormo(X1)
          | conditionhypo(X1)
          | gt(X0,X1) )
      | ( ~ uptakelg(sK12(X0))
        & ~ gt(X0,sK12(X0)) )
      | ( ~ uptakepg(sK13(X0))
        & ~ gt(X0,sK13(X0)) )
      | ~ bcapacityex(X0)
      | ( ~ conditionhyper(sK14(X0))
        & gt(X0,sK14(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14]),skolemize(X2,sK12(X0)),skolemize(X3,sK13(X0)),skolemize(X4,sK14(X0))],[f65]) ).

fof(f67,plain,
    ( ? [X0] :
        ( ~ conditionnormo(X0)
        & ~ conditionhypo(X0)
        & ~ gt(n0,X0) )
    & ! [X1] :
        ( drugi(X1)
        | gt(n0,X1) )
    & ! [X2] :
        ( conditionhyper(X2)
        | ~ gt(n0,X2) )
    & bcapacityex(n0) ),
    inference(rectify,[],[f48]) ).

fof(f68,plain,
    ( ~ conditionnormo(sK15)
    & ~ conditionhypo(sK15)
    & ~ gt(n0,sK15)
    & ! [X1] :
        ( drugi(X1)
        | gt(n0,X1) )
    & ! [X2] :
        ( conditionhyper(X2)
        | ~ gt(n0,X2) )
    & bcapacityex(n0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X0,sK15)],[f67]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK1(X0))
      | gt(X0,X1)
      | uptakepg(X1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ drugi(sK1(X0))
      | gt(X0,X1)
      | uptakepg(X1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK1(X0))
      | gt(X0,X1)
      | uptakelg(X1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ drugi(sK1(X0))
      | gt(X0,X1)
      | uptakelg(X1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK13(X0))
      | conditionhypo(X1)
      | gt(X0,X1)
      | ~ gt(X0,sK12(X0))
      | conditionnormo(X1)
      | ~ bcapacityex(X0)
      | gt(X0,sK14(X0)) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK13(X0))
      | conditionhypo(X1)
      | gt(X0,X1)
      | ~ gt(X0,sK12(X0))
      | conditionnormo(X1)
      | ~ bcapacityex(X0)
      | ~ conditionhyper(sK14(X0)) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK12(X0))
      | conditionhypo(X1)
      | gt(X0,X1)
      | conditionnormo(X1)
      | ~ uptakepg(sK13(X0))
      | ~ bcapacityex(X0)
      | gt(X0,sK14(X0)) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK12(X0))
      | conditionhypo(X1)
      | gt(X0,X1)
      | conditionnormo(X1)
      | ~ uptakepg(sK13(X0))
      | ~ bcapacityex(X0)
      | ~ conditionhyper(sK14(X0)) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK13(X0))
      | conditionhypo(X1)
      | gt(X0,X1)
      | ~ uptakelg(sK12(X0))
      | conditionnormo(X1)
      | ~ bcapacityex(X0)
      | gt(X0,sK14(X0)) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK13(X0))
      | conditionhypo(X1)
      | gt(X0,X1)
      | ~ uptakelg(sK12(X0))
      | conditionnormo(X1)
      | ~ bcapacityex(X0)
      | ~ conditionhyper(sK14(X0)) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ~ uptakepg(sK13(X0))
      | conditionhypo(X1)
      | gt(X0,X1)
      | ~ uptakelg(sK12(X0))
      | conditionnormo(X1)
      | ~ bcapacityex(X0)
      | gt(X0,sK14(X0)) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ~ uptakepg(sK13(X0))
      | conditionhypo(X1)
      | gt(X0,X1)
      | ~ uptakelg(sK12(X0))
      | conditionnormo(X1)
      | ~ bcapacityex(X0)
      | ~ conditionhyper(sK14(X0)) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f110,plain,
    bcapacityex(n0),
    inference(cnf_transformation,[],[f68]) ).

fof(f111,plain,
    ! [X2] :
      ( ~ gt(n0,X2)
      | conditionhyper(X2) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f112,plain,
    ! [X1] :
      ( gt(n0,X1)
      | drugi(X1) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f113,plain,
    ~ gt(n0,sK15),
    inference(cnf_transformation,[],[f68]) ).

fof(f114,plain,
    ~ conditionhypo(sK15),
    inference(cnf_transformation,[],[f68]) ).

fof(f115,plain,
    ~ conditionnormo(sK15),
    inference(cnf_transformation,[],[f68]) ).

fof(f182,plain,
    ! [X0] :
      ( gt(n0,X0)
      | uptakepg(X0)
      | drugi(sK1(n0)) ),
    inference(resolution,[],[f79,f112]) ).

fof(f185,plain,
    ! [X0] :
      ( gt(n0,X0)
      | uptakepg(X0) ),
    inference(forward_subsumption_resolution,[],[f182,f80]) ).

fof(f196,plain,
    ! [X0] :
      ( gt(n0,X0)
      | uptakelg(X0)
      | drugi(sK1(n0)) ),
    inference(resolution,[],[f81,f112]) ).

fof(f199,plain,
    ! [X0] :
      ( gt(n0,X0)
      | uptakelg(X0) ),
    inference(forward_subsumption_resolution,[],[f196,f82]) ).

fof(f205,definition,
    ( spl16_10
  <=> ! [X0] :
        ( gt(n0,X0)
        | uptakelg(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl16_10])],[avatar_definition]) ).

fof(f206,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | uptakelg(X0) )
    | ~ spl16_10 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f208,plain,
    spl16_10,
    inference(avatar_split_clause,[],[f199,f205]) ).

fof(f389,definition,
    ( spl16_30
  <=> conditionhyper(sK14(n0)) ),
    introduced(definition,[new_symbols(definition,[spl16_30])],[avatar_definition]) ).

fof(f391,plain,
    ( ~ conditionhyper(sK14(n0))
    | spl16_30 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f397,definition,
    ( spl16_32
  <=> ! [X0] :
        ( conditionhypo(X0)
        | conditionnormo(X0)
        | gt(n0,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl16_32])],[avatar_definition]) ).

fof(f398,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | conditionnormo(X0)
        | conditionhypo(X0) )
    | ~ spl16_32 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f414,plain,
    ! [X0] :
      ( conditionhypo(X0)
      | gt(n0,X0)
      | ~ uptakelg(sK12(n0))
      | conditionnormo(X0)
      | ~ bcapacityex(n0)
      | ~ conditionhyper(sK14(n0))
      | uptakepg(sK13(n0)) ),
    inference(resolution,[],[f107,f185]) ).

fof(f430,plain,
    ! [X0] :
      ( conditionhypo(X0)
      | gt(n0,X0)
      | ~ gt(n0,sK12(n0))
      | conditionnormo(X0)
      | ~ bcapacityex(n0)
      | ~ conditionhyper(sK14(n0))
      | uptakepg(sK13(n0)) ),
    inference(resolution,[],[f103,f185]) ).

fof(f473,definition,
    ( spl16_35
  <=> gt(n0,sK14(n0)) ),
    introduced(definition,[new_symbols(definition,[spl16_35])],[avatar_definition]) ).

fof(f475,plain,
    ( gt(n0,sK14(n0))
    | ~ spl16_35 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f484,plain,
    ! [X0] :
      ( conditionhypo(X0)
      | gt(n0,X0)
      | ~ uptakelg(sK12(n0))
      | conditionnormo(X0)
      | ~ bcapacityex(n0)
      | gt(n0,sK14(n0))
      | uptakepg(sK13(n0)) ),
    inference(resolution,[],[f106,f185]) ).

fof(f492,plain,
    ! [X0] :
      ( conditionhypo(X0)
      | gt(n0,X0)
      | ~ uptakelg(sK12(n0))
      | conditionnormo(X0)
      | ~ bcapacityex(n0)
      | gt(n0,sK14(n0)) ),
    inference(forward_subsumption_resolution,[],[f484,f108]) ).

fof(f500,definition,
    ( spl16_37
  <=> uptakelg(sK12(n0)) ),
    introduced(definition,[new_symbols(definition,[spl16_37])],[avatar_definition]) ).

fof(f504,plain,
    ! [X0] :
      ( conditionhypo(X0)
      | gt(n0,X0)
      | ~ uptakelg(sK12(n0))
      | conditionnormo(X0)
      | gt(n0,sK14(n0)) ),
    inference(forward_subsumption_resolution,[],[f492,f110]) ).

fof(f515,plain,
    ( spl16_35
    | ~ spl16_37
    | spl16_32 ),
    inference(avatar_split_clause,[],[f504,f397,f500,f473]) ).

fof(f519,plain,
    ! [X0] :
      ( conditionhypo(X0)
      | gt(n0,X0)
      | ~ gt(n0,sK12(n0))
      | conditionnormo(X0)
      | ~ bcapacityex(n0)
      | gt(n0,sK14(n0))
      | uptakepg(sK13(n0)) ),
    inference(resolution,[],[f102,f185]) ).

fof(f527,plain,
    ! [X0] :
      ( conditionhypo(X0)
      | gt(n0,X0)
      | ~ gt(n0,sK12(n0))
      | conditionnormo(X0)
      | ~ bcapacityex(n0)
      | gt(n0,sK14(n0)) ),
    inference(forward_subsumption_resolution,[],[f519,f104]) ).

fof(f531,definition,
    ( spl16_40
  <=> gt(n0,sK12(n0)) ),
    introduced(definition,[new_symbols(definition,[spl16_40])],[avatar_definition]) ).

fof(f533,plain,
    ( ~ gt(n0,sK12(n0))
    | spl16_40 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f535,plain,
    ! [X0] :
      ( conditionhypo(X0)
      | gt(n0,X0)
      | ~ gt(n0,sK12(n0))
      | conditionnormo(X0)
      | gt(n0,sK14(n0)) ),
    inference(forward_subsumption_resolution,[],[f527,f110]) ).

fof(f538,plain,
    ( spl16_35
    | ~ spl16_40
    | spl16_32 ),
    inference(avatar_split_clause,[],[f535,f397,f531,f473]) ).

fof(f539,plain,
    ( uptakelg(sK12(n0))
    | ~ spl16_10
    | spl16_40 ),
    inference(resolution,[],[f533,f206]) ).

fof(f553,plain,
    ( spl16_37
    | ~ spl16_10
    | spl16_40 ),
    inference(avatar_split_clause,[],[f539,f531,f205,f500]) ).

fof(f554,plain,
    ( conditionnormo(sK15)
    | conditionhypo(sK15)
    | ~ spl16_32 ),
    inference(resolution,[],[f398,f113]) ).

fof(f596,plain,
    ( conditionhypo(sK15)
    | ~ spl16_32 ),
    inference(forward_subsumption_resolution,[],[f554,f115]) ).

fof(f597,plain,
    ( $false
    | ~ spl16_32 ),
    inference(forward_subsumption_resolution,[],[f596,f114]) ).

fof(f598,plain,
    ~ spl16_32,
    inference(avatar_contradiction_clause,[],[f597]) ).

fof(f599,plain,
    ( conditionhyper(sK14(n0))
    | ~ spl16_35 ),
    inference(resolution,[],[f475,f111]) ).

fof(f601,plain,
    ( $false
    | spl16_30
    | ~ spl16_35 ),
    inference(forward_subsumption_resolution,[],[f599,f391]) ).

fof(f602,plain,
    ( spl16_30
    | ~ spl16_35 ),
    inference(avatar_contradiction_clause,[],[f601]) ).

fof(f604,plain,
    ! [X0] :
      ( conditionhypo(X0)
      | gt(n0,X0)
      | ~ uptakelg(sK12(n0))
      | conditionnormo(X0)
      | ~ bcapacityex(n0)
      | ~ conditionhyper(sK14(n0)) ),
    inference(forward_subsumption_resolution,[],[f414,f109]) ).

fof(f618,plain,
    ! [X0] :
      ( conditionhypo(X0)
      | gt(n0,X0)
      | ~ gt(n0,sK12(n0))
      | conditionnormo(X0)
      | ~ bcapacityex(n0)
      | ~ conditionhyper(sK14(n0)) ),
    inference(forward_subsumption_resolution,[],[f430,f105]) ).

fof(f624,plain,
    ! [X0] :
      ( conditionhypo(X0)
      | gt(n0,X0)
      | ~ uptakelg(sK12(n0))
      | conditionnormo(X0)
      | ~ conditionhyper(sK14(n0)) ),
    inference(forward_subsumption_resolution,[],[f604,f110]) ).

fof(f626,plain,
    ! [X0] :
      ( conditionhypo(X0)
      | gt(n0,X0)
      | ~ gt(n0,sK12(n0))
      | conditionnormo(X0)
      | ~ conditionhyper(sK14(n0)) ),
    inference(forward_subsumption_resolution,[],[f618,f110]) ).

fof(f632,plain,
    ( ~ spl16_30
    | ~ spl16_37
    | spl16_32 ),
    inference(avatar_split_clause,[],[f624,f397,f500,f389]) ).

fof(f633,plain,
    ( ~ spl16_30
    | ~ spl16_40
    | spl16_32 ),
    inference(avatar_split_clause,[],[f626,f397,f531,f389]) ).

cnf(s9,plain,
    spl16_10,
    inference(sat_conversion,[],[f208]) ).

cnf(s34,plain,
    ( spl16_32
    | spl16_35
    | ~ spl16_37 ),
    inference(sat_conversion,[],[f515]) ).

cnf(s38,plain,
    ( spl16_32
    | spl16_35
    | ~ spl16_40 ),
    inference(sat_conversion,[],[f538]) ).

cnf(s44,plain,
    ( ~ spl16_10
    | spl16_37
    | spl16_40 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s47,plain,
    ~ spl16_32,
    inference(sat_conversion,[],[f598]) ).

cnf(s48,plain,
    ( spl16_30
    | ~ spl16_35 ),
    inference(sat_conversion,[],[f602]) ).

cnf(s60,plain,
    ( ~ spl16_30
    | spl16_32
    | ~ spl16_37 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s61,plain,
    ( ~ spl16_30
    | spl16_32
    | ~ spl16_40 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s62,plain,
    ( spl16_35
    | ~ spl16_40 ),
    inference(rat,[],[s38,s47]) ).

cnf(s66,plain,
    ( spl16_35
    | ~ spl16_37 ),
    inference(rat,[],[s34,s47]) ).

cnf(s80,plain,
    ~ spl16_40,
    inference(rat,[],[s48,s62,s61,s47]) ).

cnf(s83,plain,
    spl16_37,
    inference(rat,[],[s44,s9,s80]) ).

cnf(s84,plain,
    ~ spl16_30,
    inference(rat,[],[s60,s47,s83]) ).

cnf(s86,plain,
    spl16_35,
    inference(rat,[],[s66,s83]) ).

cnf(s87,plain,
    $false,
    inference(rat,[],[s48,s86,s84]) ).

fof(f634,plain,
    $false,
    inference(avatar_sat_refutation,[],[s87]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MED003+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36  % Computer : n003.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 27 17:16:56 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39  Running first-order model finding
% 0.10/0.39  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.44  % (802240)Will run a generic schedule for satisfiability detection.
% 0.10/0.44  % (802248)dis+10_1_sil=32000:sp=arity:random_seed=1531951900:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.44  % (802246)% WARNING: option uhcvi not known.
% 0.10/0.44  % (802248) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-802240-802248"...
% 0.10/0.44  % (802248)...printing done.
% 0.10/0.44  % (802245)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2038221629_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.44  % (802249)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3661658492:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.44  % (802251)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=621740540:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.44  % (802247)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2154632810:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.44  % (802248)Refutation found. Thanks to Tanya!
% 0.10/0.44  % SZS status Theorem for theBenchmark
% 0.10/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44  % (802248)------------------------------
% 0.10/0.44  % (802248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44  % (802248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44  % (802248)CaDiCaL version: 2.1.3
% 0.10/0.44  % (802248)Termination reason: Refutation
% 0.10/0.44  % (802248)Time elapsed: 0.006 s
% 0.10/0.44  % (802248)Peak memory usage: 12 MB
% 0.10/0.44  % (802248)Instructions burned: 14 (million)
% 0.10/0.44  % (802240)Success in time 0.037 s
% 0.10/0.44  % Vampire exiting
%------------------------------------------------------------------------------