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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : MED002+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n008.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 0.16s 0.62s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  102 (  15 unt;   8 def)
%            Number of atoms       :  393 (   0 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  473 ( 182   ~; 179   |;  69   &)
%                                         (   7 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   19 (  18 usr;   8 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-1 aty)
%            Number of variables   :  132 (   0 sgn 108   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0] :
      ( ~ bcapacityne(X0)
      | ~ bcapacityex(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',xorcapacity2) ).

fof(f13,axiom,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ gt(X0,X1)
           => drugsu(X1) )
        & ~ bcapacityex(X0) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => bsecretioni(X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',sulfonylurea_effect) ).

fof(f14,axiom,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => drugbg(X1) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => ~ releaselg(X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',biguanide_effect) ).

fof(f17,axiom,
    ! [X0] :
      ( ( ( ! [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)
         => conditionnormo(X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',ne_cure) ).

fof(f19,conjecture,
    ( ( ! [X0] :
          ( ~ gt(n0,X0)
         => ( drugbg(X0)
            & drugsu(X0) ) )
      & ! [X0] :
          ( gt(n0,X0)
         => conditionhyper(X0) )
      & bcapacityne(n0) )
   => ! [X0] :
        ( ~ gt(n0,X0)
       => conditionnormo(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',treatmentne) ).

fof(f20,negated_conjecture,
    ~ ( ( ! [X0] :
            ( ~ gt(n0,X0)
           => ( drugbg(X0)
              & drugsu(X0) ) )
        & ! [X0] :
            ( gt(n0,X0)
           => conditionhyper(X0) )
        & bcapacityne(n0) )
     => ! [X0] :
          ( ~ gt(n0,X0)
         => conditionnormo(X0) ) ),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f22,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ gt(X0,X1)
           => drugsu(X1) )
        & ~ bcapacityex(X0) )
     => ! [X2] :
          ( ~ gt(X0,X2)
         => bsecretioni(X2) ) ),
    inference(rectify,[],[f13]) ).

fof(f23,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => drugbg(X1) )
     => ! [X2] :
          ( ~ gt(X0,X2)
         => ~ releaselg(X2) ) ),
    inference(rectify,[],[f14]) ).

fof(f26,plain,
    ! [X0] :
      ( ( ( ! [X1] :
              ( ~ gt(X0,X1)
             => ~ releaselg(X1) )
          | ! [X2] :
              ( ~ gt(X0,X2)
             => uptakepg(X2) ) )
        & bcapacityne(X0)
        & ! [X3] :
            ( ~ gt(X0,X3)
           => bsecretioni(X3) )
        & ! [X4] :
            ( gt(X0,X4)
           => conditionhyper(X4) ) )
     => ! [X5] :
          ( ~ gt(X0,X5)
         => conditionnormo(X5) ) ),
    inference(rectify,[],[f17]) ).

fof(f28,plain,
    ~ ( ( ! [X0] :
            ( ~ gt(n0,X0)
           => ( drugbg(X0)
              & drugsu(X0) ) )
        & ! [X1] :
            ( gt(n0,X1)
           => conditionhyper(X1) )
        & bcapacityne(n0) )
     => ! [X2] :
          ( ~ gt(n0,X2)
         => conditionnormo(X2) ) ),
    inference(rectify,[],[f20]) ).

fof(f35,plain,
    ! [X0] :
      ( ! [X2] :
          ( bsecretioni(X2)
          | gt(X0,X2) )
      | ? [X1] :
          ( ~ drugsu(X1)
          & ~ gt(X0,X1) )
      | bcapacityex(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f36,plain,
    ! [X0] :
      ( ! [X2] :
          ( bsecretioni(X2)
          | gt(X0,X2) )
      | ? [X1] :
          ( ~ drugsu(X1)
          & ~ gt(X0,X1) )
      | bcapacityex(X0) ),
    inference(flattening,[],[f35]) ).

fof(f37,plain,
    ! [X0] :
      ( ! [X2] :
          ( ~ releaselg(X2)
          | gt(X0,X2) )
      | ? [X1] :
          ( ~ drugbg(X1)
          & ~ gt(X0,X1) ) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f42,plain,
    ! [X0] :
      ( ! [X5] :
          ( conditionnormo(X5)
          | gt(X0,X5) )
      | ( ? [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) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f43,plain,
    ! [X0] :
      ( ! [X5] :
          ( conditionnormo(X5)
          | gt(X0,X5) )
      | ( ? [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) ) ),
    inference(flattening,[],[f42]) ).

fof(f46,plain,
    ( ? [X2] :
        ( ~ conditionnormo(X2)
        & ~ gt(n0,X2) )
    & ! [X0] :
        ( ( drugbg(X0)
          & drugsu(X0) )
        | gt(n0,X0) )
    & ! [X1] :
        ( conditionhyper(X1)
        | ~ gt(n0,X1) )
    & bcapacityne(n0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f47,plain,
    ( ? [X2] :
        ( ~ conditionnormo(X2)
        & ~ gt(n0,X2) )
    & ! [X0] :
        ( ( drugbg(X0)
          & drugsu(X0) )
        | gt(n0,X0) )
    & ! [X1] :
        ( conditionhyper(X1)
        | ~ gt(n0,X1) )
    & bcapacityne(n0) ),
    inference(flattening,[],[f46]) ).

fof(f48,definition,
    ! [X0] :
      ( ( ? [X1] :
            ( releaselg(X1)
            & ~ gt(X0,X1) )
        & ? [X2] :
            ( ~ uptakepg(X2)
            & ~ gt(X0,X2) ) )
      | ~ sP0(X0) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f49,plain,
    ! [X0] :
      ( ! [X5] :
          ( conditionnormo(X5)
          | gt(X0,X5) )
      | sP0(X0)
      | ~ bcapacityne(X0)
      | ? [X3] :
          ( ~ bsecretioni(X3)
          & ~ gt(X0,X3) )
      | ? [X4] :
          ( ~ conditionhyper(X4)
          & gt(X0,X4) ) ),
    inference(definition_folding,[],[f43,f48]) ).

fof(f52,plain,
    ! [X0] :
      ( ! [X1] :
          ( bsecretioni(X1)
          | gt(X0,X1) )
      | ? [X2] :
          ( ~ drugsu(X2)
          & ~ gt(X0,X2) )
      | bcapacityex(X0) ),
    inference(rectify,[],[f36]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1] :
          ( bsecretioni(X1)
          | gt(X0,X1) )
      | ( ~ drugsu(sK2(X0))
        & ~ gt(X0,sK2(X0)) )
      | bcapacityex(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0))],[f52]) ).

fof(f54,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ releaselg(X1)
          | gt(X0,X1) )
      | ? [X2] :
          ( ~ drugbg(X2)
          & ~ gt(X0,X2) ) ),
    inference(rectify,[],[f37]) ).

fof(f55,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ releaselg(X1)
          | gt(X0,X1) )
      | ( ~ drugbg(sK3(X0))
        & ~ gt(X0,sK3(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0))],[f54]) ).

fof(f60,plain,
    ! [X0] :
      ( ( ? [X1] :
            ( releaselg(X1)
            & ~ gt(X0,X1) )
        & ? [X2] :
            ( ~ uptakepg(X2)
            & ~ gt(X0,X2) ) )
      | ~ sP0(X0) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f61,plain,
    ! [X0] :
      ( ( releaselg(sK8(X0))
        & ~ gt(X0,sK8(X0))
        & ~ uptakepg(sK9(X0))
        & ~ gt(X0,sK9(X0)) )
      | ~ sP0(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X1,sK8(X0)),skolemize(X2,sK9(X0))],[f60]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1] :
          ( conditionnormo(X1)
          | gt(X0,X1) )
      | sP0(X0)
      | ~ bcapacityne(X0)
      | ? [X2] :
          ( ~ bsecretioni(X2)
          & ~ gt(X0,X2) )
      | ? [X3] :
          ( ~ conditionhyper(X3)
          & gt(X0,X3) ) ),
    inference(rectify,[],[f49]) ).

fof(f63,plain,
    ! [X0] :
      ( ! [X1] :
          ( conditionnormo(X1)
          | gt(X0,X1) )
      | sP0(X0)
      | ~ bcapacityne(X0)
      | ( ~ bsecretioni(sK10(X0))
        & ~ gt(X0,sK10(X0)) )
      | ( ~ conditionhyper(sK11(X0))
        & gt(X0,sK11(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X2,sK10(X0)),skolemize(X3,sK11(X0))],[f62]) ).

fof(f66,plain,
    ( ? [X0] :
        ( ~ conditionnormo(X0)
        & ~ gt(n0,X0) )
    & ! [X1] :
        ( ( drugbg(X1)
          & drugsu(X1) )
        | gt(n0,X1) )
    & ! [X2] :
        ( conditionhyper(X2)
        | ~ gt(n0,X2) )
    & bcapacityne(n0) ),
    inference(rectify,[],[f47]) ).

fof(f67,plain,
    ( ~ conditionnormo(sK15)
    & ~ gt(n0,sK15)
    & ! [X1] :
        ( ( drugbg(X1)
          & drugsu(X1) )
        | gt(n0,X1) )
    & ! [X2] :
        ( conditionhyper(X2)
        | ~ gt(n0,X2) )
    & bcapacityne(n0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X0,sK15)],[f66]) ).

fof(f71,plain,
    ! [X0] :
      ( ~ bcapacityex(X0)
      | ~ bcapacityne(X0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK2(X0))
      | gt(X0,X1)
      | bsecretioni(X1)
      | bcapacityex(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ drugsu(sK2(X0))
      | gt(X0,X1)
      | bsecretioni(X1)
      | bcapacityex(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK3(X0))
      | gt(X0,X1)
      | ~ releaselg(X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ drugbg(sK3(X0))
      | gt(X0,X1)
      | ~ releaselg(X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ gt(X0,sK8(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f96,plain,
    ! [X0] :
      ( releaselg(sK8(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK10(X0))
      | gt(X0,X1)
      | sP0(X0)
      | ~ bcapacityne(X0)
      | conditionnormo(X1)
      | gt(X0,sK11(X0)) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK10(X0))
      | gt(X0,X1)
      | sP0(X0)
      | ~ bcapacityne(X0)
      | conditionnormo(X1)
      | ~ conditionhyper(sK11(X0)) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ~ bsecretioni(sK10(X0))
      | gt(X0,X1)
      | sP0(X0)
      | ~ bcapacityne(X0)
      | conditionnormo(X1)
      | gt(X0,sK11(X0)) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ~ bsecretioni(sK10(X0))
      | gt(X0,X1)
      | sP0(X0)
      | ~ bcapacityne(X0)
      | conditionnormo(X1)
      | ~ conditionhyper(sK11(X0)) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f109,plain,
    bcapacityne(n0),
    inference(cnf_transformation,[],[f67]) ).

fof(f110,plain,
    ! [X2] :
      ( ~ gt(n0,X2)
      | conditionhyper(X2) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f111,plain,
    ! [X1] :
      ( gt(n0,X1)
      | drugsu(X1) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f112,plain,
    ! [X1] :
      ( gt(n0,X1)
      | drugbg(X1) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f113,plain,
    ~ gt(n0,sK15),
    inference(cnf_transformation,[],[f67]) ).

fof(f114,plain,
    ~ conditionnormo(sK15),
    inference(cnf_transformation,[],[f67]) ).

fof(f142,definition,
    ( spl16_4
  <=> sP0(n0) ),
    introduced(definition,[new_symbols(definition,[spl16_4])],[avatar_definition]) ).

fof(f144,plain,
    ( ~ sP0(n0)
    | spl16_4 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f222,plain,
    ! [X0] :
      ( gt(n0,X0)
      | ~ releaselg(X0)
      | drugbg(sK3(n0)) ),
    inference(resolution,[],[f83,f112]) ).

fof(f230,definition,
    ( spl16_16
  <=> ! [X0] :
        ( gt(n0,X0)
        | ~ releaselg(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl16_16])],[avatar_definition]) ).

fof(f231,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | ~ releaselg(X0) )
    | ~ spl16_16 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f233,plain,
    ! [X0] :
      ( gt(n0,X0)
      | ~ releaselg(X0) ),
    inference(forward_subsumption_resolution,[],[f222,f84]) ).

fof(f234,plain,
    spl16_16,
    inference(avatar_split_clause,[],[f233,f230]) ).

fof(f243,plain,
    ( ~ releaselg(sK8(n0))
    | ~ sP0(n0)
    | ~ spl16_16 ),
    inference(resolution,[],[f231,f95]) ).

fof(f253,plain,
    ! [X0] :
      ( gt(n0,X0)
      | bsecretioni(X0)
      | bcapacityex(n0)
      | drugsu(sK2(n0)) ),
    inference(resolution,[],[f81,f111]) ).

fof(f255,plain,
    ! [X0] :
      ( gt(n0,X0)
      | bsecretioni(X0)
      | bcapacityex(n0) ),
    inference(forward_subsumption_resolution,[],[f253,f82]) ).

fof(f261,definition,
    ( spl16_19
  <=> bcapacityex(n0) ),
    introduced(definition,[new_symbols(definition,[spl16_19])],[avatar_definition]) ).

fof(f263,plain,
    ( bcapacityex(n0)
    | ~ spl16_19 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f265,definition,
    ( spl16_20
  <=> ! [X0] :
        ( gt(n0,X0)
        | bsecretioni(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl16_20])],[avatar_definition]) ).

fof(f266,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | bsecretioni(X0) )
    | ~ spl16_20 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f273,plain,
    ( spl16_19
    | spl16_20 ),
    inference(avatar_split_clause,[],[f255,f265,f261]) ).

fof(f274,plain,
    ( ~ bcapacityne(n0)
    | ~ spl16_19 ),
    inference(resolution,[],[f263,f71]) ).

fof(f275,plain,
    ( $false
    | ~ spl16_19 ),
    inference(forward_subsumption_resolution,[],[f274,f109]) ).

fof(f276,plain,
    ~ spl16_19,
    inference(avatar_contradiction_clause,[],[f275]) ).

fof(f298,definition,
    ( spl16_26
  <=> ! [X0] :
        ( gt(n0,X0)
        | conditionnormo(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl16_26])],[avatar_definition]) ).

fof(f299,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | conditionnormo(X0) )
    | ~ spl16_26 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f359,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | sP0(n0)
        | ~ bcapacityne(n0)
        | conditionnormo(X0)
        | ~ conditionhyper(sK11(n0))
        | bsecretioni(sK10(n0)) )
    | ~ spl16_20 ),
    inference(resolution,[],[f98,f266]) ).

fof(f368,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | sP0(n0)
        | ~ bcapacityne(n0)
        | conditionnormo(X0)
        | ~ conditionhyper(sK11(n0)) )
    | ~ spl16_20 ),
    inference(forward_subsumption_resolution,[],[f359,f100]) ).

fof(f372,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | ~ bcapacityne(n0)
        | conditionnormo(X0)
        | ~ conditionhyper(sK11(n0)) )
    | spl16_4
    | ~ spl16_20 ),
    inference(forward_subsumption_resolution,[],[f368,f144]) ).

fof(f378,definition,
    ( spl16_34
  <=> conditionhyper(sK11(n0)) ),
    introduced(definition,[new_symbols(definition,[spl16_34])],[avatar_definition]) ).

fof(f380,plain,
    ( ~ conditionhyper(sK11(n0))
    | spl16_34 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f392,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | conditionnormo(X0)
        | ~ conditionhyper(sK11(n0)) )
    | spl16_4
    | ~ spl16_20 ),
    inference(forward_subsumption_resolution,[],[f372,f109]) ).

fof(f393,plain,
    ( ~ spl16_34
    | spl16_26
    | spl16_4
    | ~ spl16_20 ),
    inference(avatar_split_clause,[],[f392,f265,f142,f298,f378]) ).

fof(f405,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | sP0(n0)
        | ~ bcapacityne(n0)
        | conditionnormo(X0)
        | gt(n0,sK11(n0))
        | bsecretioni(sK10(n0)) )
    | ~ spl16_20 ),
    inference(resolution,[],[f97,f266]) ).

fof(f414,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | sP0(n0)
        | ~ bcapacityne(n0)
        | conditionnormo(X0)
        | gt(n0,sK11(n0)) )
    | ~ spl16_20 ),
    inference(forward_subsumption_resolution,[],[f405,f99]) ).

fof(f420,definition,
    ( spl16_37
  <=> gt(n0,sK11(n0)) ),
    introduced(definition,[new_symbols(definition,[spl16_37])],[avatar_definition]) ).

fof(f422,plain,
    ( gt(n0,sK11(n0))
    | ~ spl16_37 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f520,plain,
    ( conditionnormo(sK15)
    | ~ spl16_26 ),
    inference(resolution,[],[f299,f113]) ).

fof(f546,plain,
    ( $false
    | ~ spl16_26 ),
    inference(forward_subsumption_resolution,[],[f520,f114]) ).

fof(f547,plain,
    ~ spl16_26,
    inference(avatar_contradiction_clause,[],[f546]) ).

fof(f553,plain,
    ( ~ sP0(n0)
    | ~ spl16_16 ),
    inference(forward_subsumption_resolution,[],[f243,f96]) ).

fof(f573,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | sP0(n0)
        | conditionnormo(X0)
        | gt(n0,sK11(n0)) )
    | ~ spl16_20 ),
    inference(forward_subsumption_resolution,[],[f414,f109]) ).

fof(f577,plain,
    ( ~ spl16_4
    | ~ spl16_16 ),
    inference(avatar_split_clause,[],[f553,f230,f142]) ).

fof(f582,plain,
    ( spl16_37
    | spl16_4
    | spl16_26
    | ~ spl16_20 ),
    inference(avatar_split_clause,[],[f573,f265,f298,f142,f420]) ).

fof(f591,plain,
    ( conditionhyper(sK11(n0))
    | ~ spl16_37 ),
    inference(resolution,[],[f422,f110]) ).

fof(f593,plain,
    ( $false
    | spl16_34
    | ~ spl16_37 ),
    inference(forward_subsumption_resolution,[],[f591,f380]) ).

fof(f594,plain,
    ( spl16_34
    | ~ spl16_37 ),
    inference(avatar_contradiction_clause,[],[f593]) ).

cnf(s14,plain,
    spl16_16,
    inference(sat_conversion,[],[f234]) ).

cnf(s19,plain,
    ( spl16_19
    | spl16_20 ),
    inference(sat_conversion,[],[f273]) ).

cnf(s20,plain,
    ~ spl16_19,
    inference(sat_conversion,[],[f276]) ).

cnf(s32,plain,
    ( spl16_4
    | ~ spl16_20
    | spl16_26
    | ~ spl16_34 ),
    inference(sat_conversion,[],[f393]) ).

cnf(s42,plain,
    ~ spl16_26,
    inference(sat_conversion,[],[f547]) ).

cnf(s48,plain,
    ( ~ spl16_4
    | ~ spl16_16 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s53,plain,
    ( spl16_4
    | ~ spl16_20
    | spl16_26
    | spl16_37 ),
    inference(sat_conversion,[],[f582]) ).

cnf(s56,plain,
    ( spl16_34
    | ~ spl16_37 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s63,plain,
    ( spl16_4
    | ~ spl16_20
    | ~ spl16_34 ),
    inference(rat,[],[s32,s42]) ).

cnf(s73,plain,
    spl16_20,
    inference(rat,[],[s19,s20]) ).

cnf(s74,plain,
    ~ spl16_4,
    inference(rat,[],[s48,s14]) ).

cnf(s75,plain,
    spl16_37,
    inference(rat,[],[s53,s73,s42,s74]) ).

cnf(s76,plain,
    ~ spl16_34,
    inference(rat,[],[s63,s73,s74]) ).

cnf(s77,plain,
    $false,
    inference(rat,[],[s56,s75,s76]) ).

fof(f595,plain,
    $false,
    inference(avatar_sat_refutation,[],[s77]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MED002+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.53  % Computer : n008.cluster.edu
% 0.10/0.53  % Model    : x86_64 x86_64
% 0.10/0.53  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.53  % Memory   : 8046.5625MB
% 0.10/0.53  % OS       : Linux 6.8.0-71-generic
% 0.10/0.53  % CPULimit : 300
% 0.10/0.53  % WCLimit  : 300
% 0.10/0.53  % DateTime : Sun Sep 27 17:15:54 UTC 2026
% 0.10/0.54  % CPUTime  : 
% 0.10/0.54  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.57  Running first-order model finding
% 0.16/0.57  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.62  % (1472833)Will run a generic schedule for satisfiability detection.
% 0.16/0.62  % (1472844)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=689130859:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.62  % (1472839)% WARNING: option uhcvi not known.
% 0.16/0.62  % (1472843)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=388513431:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.62  % (1472841)dis+10_1_sil=32000:sp=arity:random_seed=3959103314:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.62  % (1472838)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1727139312_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.62  % (1472842)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1655395558:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.62  % (1472840)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3186499274:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.62  % (1472839)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4016386833:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.62  % TRYING [1]
% 0.16/0.62  % TRYING [2]
% 0.16/0.62  % TRYING [3]
% 0.16/0.62  % TRYING [4]
% 0.16/0.62  % (1472841) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1472833-1472841"...
% 0.16/0.62  % (1472843) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1472833-1472843"...
% 0.16/0.62  % (1472841)...printing done.
% 0.16/0.62  % (1472843)...printing done.
% 0.16/0.62  % (1472841)Refutation found. Thanks to Tanya!
% 0.16/0.62  % SZS status Theorem for theBenchmark
% 0.16/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.63  % (1472841)------------------------------
% 0.16/0.63  % (1472841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.63  % (1472841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.63  % (1472841)CaDiCaL version: 2.1.3
% 0.16/0.63  % (1472841)Termination reason: Refutation
% 0.16/0.63  % (1472841)Time elapsed: 0.010 s
% 0.16/0.63  % (1472841)Peak memory usage: 12 MB
% 0.16/0.63  % (1472841)Instructions burned: 12 (million)
% 0.16/0.63  % (1472833)Success in time 0.05 s
% 0.16/0.63  % Vampire exiting
%------------------------------------------------------------------------------