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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : MED008+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 : n017.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 12:01:40 PM UTC 2026

% Result   : Theorem 0.26s 0.48s
% Output   : Refutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  169 (  22 unt;  15 def)
%            Number of atoms       :  662 (   0 equ)
%            Maximal formula atoms :   30 (   3 avg)
%            Number of connectives :  757 ( 264   ~; 296   |; 125   &)
%                                         (  12 <=>;  60  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   31 (  30 usr;  13 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :  246 (   0 sgn 234   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',irreflexivity_gt) ).

fof(f9,axiom,
    ! [X0] :
      ( ~ conditionhyper(X0)
      | ~ conditionnormo(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',xorcondition3) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
     => ( uptakelg(X1)
       => ~ releaselg(X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',liver_glucose) ).

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(f24,axiom,
    ! [X0] :
      ( ~ s1(X0)
      | ~ s3(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+1.ax',xorstep6) ).

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/sandbox/benchmark/Axioms/MED001+1.ax',normo) ).

fof(f33,axiom,
    ! [X0] :
      ( drugi(X0)
     => s3(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+1.ax',insulincomp) ).

fof(f34,axiom,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ gt(X0,X1)
           => uptakelg(X1) )
        | ! [X1] :
            ( ~ gt(X0,X1)
           => uptakepg(X1) ) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => drugi(X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+1.ax',insulin_completion) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
     => ( ~ releaselg(X1)
       => uptakelg(X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+1.ax',uptake_completion) ).

fof(f37,axiom,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => ~ releaselg(X1) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => drugbg(X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+1.ax',bg_completion) ).

fof(f41,conjecture,
    ( ( s1(n0)
      & ! [X0] :
          ( gt(n0,X0)
         => conditionhyper(X0) )
      & ~ bcapacitysn(n0)
      & ~ qilt27(n0) )
   => ~ ! [X0] :
          ( ~ gt(n0,X0)
         => conditionnormo(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unsuccessfuls1_qige27) ).

fof(f42,negated_conjecture,
    ~ ( ( s1(n0)
        & ! [X0] :
            ( gt(n0,X0)
           => conditionhyper(X0) )
        & ~ bcapacitysn(n0)
        & ~ qilt27(n0) )
     => ~ ! [X0] :
            ( ~ gt(n0,X0)
           => conditionnormo(X0) ) ),
    inference(negated_conjecture,[status(cth)],[f41]) ).

fof(f45,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => drugbg(X1) )
     => ! [X2] :
          ( ~ gt(X0,X2)
         => ~ releaselg(X2) ) ),
    inference(rectify,[],[f14]) ).

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(f51,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ gt(X0,X1)
           => uptakelg(X1) )
        | ! [X2] :
            ( ~ gt(X0,X2)
           => uptakepg(X2) ) )
     => ! [X3] :
          ( ~ gt(X0,X3)
         => drugi(X3) ) ),
    inference(rectify,[],[f34]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => ~ releaselg(X1) )
     => ! [X2] :
          ( ~ gt(X0,X2)
         => drugbg(X2) ) ),
    inference(rectify,[],[f37]) ).

fof(f57,plain,
    ~ ( ( s1(n0)
        & ! [X0] :
            ( gt(n0,X0)
           => conditionhyper(X0) )
        & ~ bcapacitysn(n0)
        & ~ qilt27(n0) )
     => ~ ! [X1] :
            ( ~ gt(n0,X1)
           => conditionnormo(X1) ) ),
    inference(rectify,[],[f42]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ releaselg(X1)
      | ~ uptakelg(X1)
      | gt(X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ releaselg(X1)
      | ~ uptakelg(X1)
      | gt(X0,X1) ),
    inference(flattening,[],[f62]) ).

fof(f66,plain,
    ! [X0] :
      ( ! [X2] :
          ( ~ releaselg(X2)
          | gt(X0,X2) )
      | ? [X1] :
          ( ~ drugbg(X1)
          & ~ gt(X0,X1) ) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f75,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(f76,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,[],[f75]) ).

fof(f88,plain,
    ! [X0] :
      ( s3(X0)
      | ~ drugi(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f89,plain,
    ! [X0] :
      ( ! [X3] :
          ( drugi(X3)
          | gt(X0,X3) )
      | ( ? [X1] :
            ( ~ uptakelg(X1)
            & ~ gt(X0,X1) )
        & ? [X2] :
            ( ~ uptakepg(X2)
            & ~ gt(X0,X2) ) ) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( uptakelg(X1)
      | releaselg(X1)
      | gt(X0,X1) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( uptakelg(X1)
      | releaselg(X1)
      | gt(X0,X1) ),
    inference(flattening,[],[f90]) ).

fof(f93,plain,
    ! [X0] :
      ( ! [X2] :
          ( drugbg(X2)
          | gt(X0,X2) )
      | ? [X1] :
          ( releaselg(X1)
          & ~ gt(X0,X1) ) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f100,plain,
    ( ! [X1] :
        ( conditionnormo(X1)
        | gt(n0,X1) )
    & s1(n0)
    & ! [X0] :
        ( conditionhyper(X0)
        | ~ gt(n0,X0) )
    & ~ bcapacitysn(n0)
    & ~ qilt27(n0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f101,plain,
    ( ! [X1] :
        ( conditionnormo(X1)
        | gt(n0,X1) )
    & s1(n0)
    & ! [X0] :
        ( conditionhyper(X0)
        | ~ gt(n0,X0) )
    & ~ bcapacitysn(n0)
    & ~ qilt27(n0) ),
    inference(flattening,[],[f100]) ).

fof(f104,definition,
    ! [X0] :
      ( ( ! [X10] :
            ( uptakelg(X10)
            | gt(X0,X10) )
        & ! [X11] :
            ( uptakepg(X11)
            | gt(X0,X11) )
        & bcapacityex(X0)
        & ! [X12] :
            ( conditionhyper(X12)
            | ~ gt(X0,X12) ) )
      | ~ sP1(X0) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f105,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) ) )
      | ~ sP2(X0) ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

fof(f106,definition,
    ! [X0] :
      ( ( ! [X4] :
            ( ~ releaselg(X4)
            | gt(X0,X4) )
        & bcapacitysn(X0)
        & ~ qilt27(X0)
        & ! [X5] :
            ( conditionhyper(X5)
            | ~ gt(X0,X5) ) )
      | ~ sP3(X0) ),
    introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).

fof(f107,plain,
    ! [X0] :
      ( ( ! [X2] :
            ( bsecretioni(X2)
            | gt(X0,X2) )
        & bcapacitysn(X0)
        & qilt27(X0)
        & ! [X3] :
            ( conditionhyper(X3)
            | ~ gt(X0,X3) ) )
      | sP3(X0)
      | sP2(X0)
      | sP1(X0)
      | ? [X1] :
          ( ~ conditionnormo(X1)
          & ~ gt(X0,X1) ) ),
    inference(definition_folding,[],[f76,f106,f105,f104]) ).

fof(f112,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ releaselg(X1)
          | gt(X0,X1) )
      | ? [X2] :
          ( ~ drugbg(X2)
          & ~ gt(X0,X2) ) ),
    inference(rectify,[],[f66]) ).

fof(f113,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ releaselg(X1)
          | gt(X0,X1) )
      | ( ~ drugbg(sK6(X0))
        & ~ gt(X0,sK6(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0))],[f112]) ).

fof(f124,plain,
    ! [X0] :
      ( ( ! [X4] :
            ( ~ releaselg(X4)
            | gt(X0,X4) )
        & bcapacitysn(X0)
        & ~ qilt27(X0)
        & ! [X5] :
            ( conditionhyper(X5)
            | ~ gt(X0,X5) ) )
      | ~ sP3(X0) ),
    inference(nnf_transformation,[],[f106]) ).

fof(f125,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ releaselg(X1)
            | gt(X0,X1) )
        & bcapacitysn(X0)
        & ~ qilt27(X0)
        & ! [X2] :
            ( conditionhyper(X2)
            | ~ gt(X0,X2) ) )
      | ~ sP3(X0) ),
    inference(rectify,[],[f124]) ).

fof(f126,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) ) )
      | ~ sP2(X0) ),
    inference(nnf_transformation,[],[f105]) ).

fof(f127,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) ) )
      | ~ sP2(X0) ),
    inference(rectify,[],[f126]) ).

fof(f128,plain,
    ! [X0] :
      ( ( ! [X10] :
            ( uptakelg(X10)
            | gt(X0,X10) )
        & ! [X11] :
            ( uptakepg(X11)
            | gt(X0,X11) )
        & bcapacityex(X0)
        & ! [X12] :
            ( conditionhyper(X12)
            | ~ gt(X0,X12) ) )
      | ~ sP1(X0) ),
    inference(nnf_transformation,[],[f104]) ).

fof(f129,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( uptakelg(X1)
            | gt(X0,X1) )
        & ! [X2] :
            ( uptakepg(X2)
            | gt(X0,X2) )
        & bcapacityex(X0)
        & ! [X3] :
            ( conditionhyper(X3)
            | ~ gt(X0,X3) ) )
      | ~ sP1(X0) ),
    inference(rectify,[],[f128]) ).

fof(f130,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( bsecretioni(X1)
            | gt(X0,X1) )
        & bcapacitysn(X0)
        & qilt27(X0)
        & ! [X2] :
            ( conditionhyper(X2)
            | ~ gt(X0,X2) ) )
      | sP3(X0)
      | sP2(X0)
      | sP1(X0)
      | ? [X3] :
          ( ~ conditionnormo(X3)
          & ~ gt(X0,X3) ) ),
    inference(rectify,[],[f107]) ).

fof(f131,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( bsecretioni(X1)
            | gt(X0,X1) )
        & bcapacitysn(X0)
        & qilt27(X0)
        & ! [X2] :
            ( conditionhyper(X2)
            | ~ gt(X0,X2) ) )
      | sP3(X0)
      | sP2(X0)
      | sP1(X0)
      | ( ~ conditionnormo(sK18(X0))
        & ~ gt(X0,sK18(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X3,sK18(X0))],[f130]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( drugi(X1)
          | gt(X0,X1) )
      | ( ? [X2] :
            ( ~ uptakelg(X2)
            & ~ gt(X0,X2) )
        & ? [X3] :
            ( ~ uptakepg(X3)
            & ~ gt(X0,X3) ) ) ),
    inference(rectify,[],[f89]) ).

fof(f133,plain,
    ! [X0] :
      ( ! [X1] :
          ( drugi(X1)
          | gt(X0,X1) )
      | ( ~ uptakelg(sK19(X0))
        & ~ gt(X0,sK19(X0))
        & ~ uptakepg(sK20(X0))
        & ~ gt(X0,sK20(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20]),skolemize(X2,sK19(X0)),skolemize(X3,sK20(X0))],[f132]) ).

fof(f136,plain,
    ! [X0] :
      ( ! [X1] :
          ( drugbg(X1)
          | gt(X0,X1) )
      | ? [X2] :
          ( releaselg(X2)
          & ~ gt(X0,X2) ) ),
    inference(rectify,[],[f93]) ).

fof(f137,plain,
    ! [X0] :
      ( ! [X1] :
          ( drugbg(X1)
          | gt(X0,X1) )
      | ( releaselg(sK22(X0))
        & ~ gt(X0,sK22(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X2,sK22(X0))],[f136]) ).

fof(f144,plain,
    ( ! [X0] :
        ( conditionnormo(X0)
        | gt(n0,X0) )
    & s1(n0)
    & ! [X1] :
        ( conditionhyper(X1)
        | ~ gt(n0,X1) )
    & ~ bcapacitysn(n0)
    & ~ qilt27(n0) ),
    inference(rectify,[],[f101]) ).

fof(f145,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f153,plain,
    ! [X0] :
      ( ~ conditionnormo(X0)
      | ~ conditionhyper(X0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( gt(X0,X1)
      | ~ uptakelg(X1)
      | ~ releaselg(X1) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK6(X0))
      | gt(X0,X1)
      | ~ releaselg(X1) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( ~ drugbg(sK6(X0))
      | gt(X0,X1)
      | ~ releaselg(X1) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f193,plain,
    ! [X0] :
      ( ~ s3(X0)
      | ~ s1(X0) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f197,plain,
    ! [X0] :
      ( ~ sP3(X0)
      | bcapacitysn(X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f202,plain,
    ! [X2,X0,X1] :
      ( gt(X0,X2)
      | gt(X0,X1)
      | uptakepg(X2)
      | ~ releaselg(X1)
      | ~ sP2(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f205,plain,
    ! [X2,X0] :
      ( gt(X0,X2)
      | uptakepg(X2)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f211,plain,
    ! [X0] :
      ( bcapacitysn(X0)
      | sP3(X0)
      | sP2(X0)
      | sP1(X0)
      | ~ gt(X0,sK18(X0)) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f212,plain,
    ! [X0] :
      ( bcapacitysn(X0)
      | sP3(X0)
      | sP2(X0)
      | sP1(X0)
      | ~ conditionnormo(sK18(X0)) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f224,plain,
    ! [X0] :
      ( ~ drugi(X0)
      | s3(X0) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f225,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK20(X0))
      | gt(X0,X1)
      | drugi(X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f226,plain,
    ! [X0,X1] :
      ( ~ uptakepg(sK20(X0))
      | gt(X0,X1)
      | drugi(X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f227,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK19(X0))
      | gt(X0,X1)
      | drugi(X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( ~ uptakelg(sK19(X0))
      | gt(X0,X1)
      | drugi(X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f229,plain,
    ! [X0,X1] :
      ( gt(X0,X1)
      | releaselg(X1)
      | uptakelg(X1) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( ~ gt(X0,sK22(X0))
      | gt(X0,X1)
      | drugbg(X1) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f235,plain,
    ! [X0,X1] :
      ( gt(X0,X1)
      | drugbg(X1)
      | releaselg(sK22(X0)) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f248,plain,
    ~ bcapacitysn(n0),
    inference(cnf_transformation,[],[f144]) ).

fof(f249,plain,
    ! [X1] :
      ( ~ gt(n0,X1)
      | conditionhyper(X1) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f250,plain,
    s1(n0),
    inference(cnf_transformation,[],[f144]) ).

fof(f251,plain,
    ! [X0] :
      ( gt(n0,X0)
      | conditionnormo(X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f254,plain,
    conditionnormo(n0),
    inference(resolution,[],[f145,f251]) ).

fof(f255,plain,
    ~ conditionhyper(n0),
    inference(resolution,[],[f153,f254]) ).

fof(f318,definition,
    ( spl26_7
  <=> ! [X0] :
        ( ~ releaselg(X0)
        | conditionhyper(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl26_7])],[avatar_definition]) ).

fof(f319,plain,
    ( ! [X0] :
        ( ~ releaselg(X0)
        | conditionhyper(X0) )
    | ~ spl26_7 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f351,definition,
    ( spl26_12
  <=> sP2(n0) ),
    introduced(definition,[new_symbols(definition,[spl26_12])],[avatar_definition]) ).

fof(f352,plain,
    ( sP2(n0)
    | ~ spl26_12 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f383,definition,
    ( spl26_16
  <=> sP1(n0) ),
    introduced(definition,[new_symbols(definition,[spl26_16])],[avatar_definition]) ).

fof(f402,plain,
    ! [X0] :
      ( releaselg(X0)
      | uptakelg(X0) ),
    inference(resolution,[],[f229,f145]) ).

fof(f432,definition,
    ( spl26_18
  <=> releaselg(sK22(n0)) ),
    introduced(definition,[new_symbols(definition,[spl26_18])],[avatar_definition]) ).

fof(f433,plain,
    ( ~ releaselg(sK22(n0))
    | spl26_18 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f434,plain,
    ( releaselg(sK22(n0))
    | ~ spl26_18 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f439,plain,
    ( conditionhyper(sK22(n0))
    | ~ spl26_7
    | ~ spl26_18 ),
    inference(resolution,[],[f434,f319]) ).

fof(f462,definition,
    ( spl26_21
  <=> ! [X0] :
        ( gt(n0,X0)
        | uptakepg(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl26_21])],[avatar_definition]) ).

fof(f463,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | uptakepg(X0) )
    | ~ spl26_21 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f490,definition,
    ( spl26_23
  <=> ! [X0] :
        ( gt(n0,X0)
        | ~ releaselg(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl26_23])],[avatar_definition]) ).

fof(f491,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | ~ releaselg(X0) )
    | ~ spl26_23 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f499,plain,
    ! [X0,X1] :
      ( gt(X0,X1)
      | drugi(X1)
      | uptakepg(sK20(X0))
      | ~ sP1(X0) ),
    inference(resolution,[],[f225,f205]) ).

fof(f503,plain,
    ! [X0,X1] :
      ( gt(X0,X1)
      | drugi(X1)
      | ~ sP1(X0) ),
    inference(forward_subsumption_resolution,[],[f499,f226]) ).

fof(f509,definition,
    ( spl26_25
  <=> ! [X0] :
        ( gt(n0,X0)
        | drugi(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl26_25])],[avatar_definition]) ).

fof(f510,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | drugi(X0) )
    | ~ spl26_25 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f538,plain,
    ! [X0] :
      ( gt(n0,X0)
      | drugbg(X0)
      | conditionnormo(sK22(n0)) ),
    inference(resolution,[],[f234,f251]) ).

fof(f539,plain,
    ! [X0,X1] :
      ( gt(X0,X1)
      | drugbg(X1)
      | ~ uptakelg(sK22(X0))
      | ~ releaselg(sK22(X0)) ),
    inference(resolution,[],[f234,f159]) ).

fof(f547,plain,
    ! [X0,X1] :
      ( ~ uptakelg(sK22(X0))
      | drugbg(X1)
      | gt(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f539,f235]) ).

fof(f549,definition,
    ( spl26_27
  <=> conditionnormo(sK22(n0)) ),
    introduced(definition,[new_symbols(definition,[spl26_27])],[avatar_definition]) ).

fof(f551,plain,
    ( conditionnormo(sK22(n0))
    | ~ spl26_27 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f553,definition,
    ( spl26_28
  <=> ! [X0] :
        ( gt(n0,X0)
        | drugbg(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl26_28])],[avatar_definition]) ).

fof(f554,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | drugbg(X0) )
    | ~ spl26_28 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f555,plain,
    ( spl26_27
    | spl26_28 ),
    inference(avatar_split_clause,[],[f538,f553,f549]) ).

fof(f557,plain,
    ( ~ conditionhyper(sK22(n0))
    | ~ spl26_27 ),
    inference(resolution,[],[f551,f153]) ).

fof(f558,plain,
    ( $false
    | ~ spl26_7
    | ~ spl26_18
    | ~ spl26_27 ),
    inference(forward_subsumption_resolution,[],[f557,f439]) ).

fof(f559,plain,
    ( ~ spl26_7
    | ~ spl26_18
    | ~ spl26_27 ),
    inference(avatar_contradiction_clause,[],[f558]) ).

fof(f628,plain,
    ( drugi(n0)
    | ~ spl26_25 ),
    inference(resolution,[],[f510,f145]) ).

fof(f684,plain,
    ! [X0] :
      ( ~ conditionnormo(sK18(X0))
      | sP2(X0)
      | sP1(X0)
      | bcapacitysn(X0) ),
    inference(forward_subsumption_resolution,[],[f212,f197]) ).

fof(f881,plain,
    ! [X0,X1] :
      ( gt(n0,X1)
      | uptakepg(X1)
      | ~ releaselg(X0)
      | ~ sP2(n0)
      | conditionhyper(X0) ),
    inference(resolution,[],[f202,f249]) ).

fof(f969,plain,
    ! [X0] :
      ( ~ gt(X0,sK18(X0))
      | sP2(X0)
      | sP1(X0)
      | bcapacitysn(X0) ),
    inference(forward_subsumption_resolution,[],[f211,f197]) ).

fof(f989,plain,
    ( sP2(n0)
    | sP1(n0)
    | bcapacitysn(n0)
    | conditionnormo(sK18(n0)) ),
    inference(resolution,[],[f969,f251]) ).

fof(f1008,plain,
    ( sP2(n0)
    | sP1(n0)
    | bcapacitysn(n0) ),
    inference(forward_subsumption_resolution,[],[f989,f684]) ).

fof(f1012,plain,
    ( sP2(n0)
    | sP1(n0) ),
    inference(forward_subsumption_resolution,[],[f1008,f248]) ).

fof(f1013,plain,
    ( spl26_16
    | spl26_12 ),
    inference(avatar_split_clause,[],[f1012,f351,f383]) ).

fof(f1530,plain,
    ( ! [X0] :
        ( drugbg(sK6(n0))
        | gt(n0,X0)
        | ~ releaselg(X0) )
    | ~ spl26_28 ),
    inference(resolution,[],[f554,f162]) ).

fof(f1567,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | ~ releaselg(X0) )
    | ~ spl26_28 ),
    inference(forward_subsumption_resolution,[],[f1530,f163]) ).

fof(f1578,plain,
    ( spl26_23
    | ~ spl26_28 ),
    inference(avatar_split_clause,[],[f1567,f553,f490]) ).

fof(f2609,definition,
    ( spl26_111
  <=> ! [X1] :
        ( drugi(X1)
        | conditionhyper(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl26_111])],[avatar_definition]) ).

fof(f2610,plain,
    ( ! [X1] :
        ( drugi(X1)
        | conditionhyper(X1) )
    | ~ spl26_111 ),
    inference(avatar_component_clause,[],[f2609]) ).

fof(f2631,plain,
    ( ! [X0] :
        ( s3(X0)
        | conditionhyper(X0) )
    | ~ spl26_111 ),
    inference(resolution,[],[f2610,f224]) ).

fof(f2638,plain,
    ( ! [X0] :
        ( ~ s1(X0)
        | conditionhyper(X0) )
    | ~ spl26_111 ),
    inference(resolution,[],[f2631,f193]) ).

fof(f2658,plain,
    ( conditionhyper(n0)
    | ~ spl26_111 ),
    inference(resolution,[],[f2638,f250]) ).

fof(f2662,plain,
    ( $false
    | ~ spl26_111 ),
    inference(forward_subsumption_resolution,[],[f2658,f255]) ).

fof(f2663,plain,
    ~ spl26_111,
    inference(avatar_contradiction_clause,[],[f2662]) ).

fof(f2732,definition,
    ( spl26_117
  <=> drugi(n0) ),
    introduced(definition,[new_symbols(definition,[spl26_117])],[avatar_definition]) ).

fof(f2734,plain,
    ( drugi(n0)
    | ~ spl26_117 ),
    inference(avatar_component_clause,[],[f2732]) ).

fof(f2859,plain,
    ( uptakelg(sK22(n0))
    | spl26_18 ),
    inference(resolution,[],[f402,f433]) ).

fof(f3003,plain,
    ! [X0] :
      ( drugi(X0)
      | ~ sP1(n0)
      | conditionhyper(X0) ),
    inference(resolution,[],[f503,f249]) ).

fof(f3069,plain,
    ( ~ spl26_16
    | spl26_111 ),
    inference(avatar_split_clause,[],[f3003,f2609,f383]) ).

fof(f3157,plain,
    ( spl26_117
    | ~ spl26_25 ),
    inference(avatar_split_clause,[],[f628,f509,f2732]) ).

fof(f3214,plain,
    ( ! [X0] :
        ( uptakepg(sK20(n0))
        | gt(n0,X0)
        | drugi(X0) )
    | ~ spl26_21 ),
    inference(resolution,[],[f463,f225]) ).

fof(f3231,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | drugi(X0) )
    | ~ spl26_21 ),
    inference(forward_subsumption_resolution,[],[f3214,f226]) ).

fof(f3247,plain,
    ( spl26_25
    | ~ spl26_21 ),
    inference(avatar_split_clause,[],[f3231,f462,f509]) ).

fof(f3280,plain,
    ( ! [X0,X1] :
        ( gt(n0,X1)
        | uptakepg(X1)
        | ~ releaselg(X0)
        | conditionhyper(X0) )
    | ~ spl26_12 ),
    inference(forward_subsumption_resolution,[],[f881,f352]) ).

fof(f3281,plain,
    ( spl26_7
    | spl26_21
    | ~ spl26_12 ),
    inference(avatar_split_clause,[],[f3280,f351,f462,f318]) ).

fof(f3327,plain,
    ( ! [X0] :
        ( ~ releaselg(sK19(n0))
        | gt(n0,X0)
        | drugi(X0) )
    | ~ spl26_23 ),
    inference(resolution,[],[f491,f227]) ).

fof(f3347,definition,
    ( spl26_147
  <=> releaselg(sK19(n0)) ),
    introduced(definition,[new_symbols(definition,[spl26_147])],[avatar_definition]) ).

fof(f3349,plain,
    ( ~ releaselg(sK19(n0))
    | spl26_147 ),
    inference(avatar_component_clause,[],[f3347]) ).

fof(f3350,plain,
    ( spl26_25
    | ~ spl26_147
    | ~ spl26_23 ),
    inference(avatar_split_clause,[],[f3327,f490,f3347,f509]) ).

fof(f3555,plain,
    ( uptakelg(sK19(n0))
    | spl26_147 ),
    inference(resolution,[],[f3349,f402]) ).

fof(f3718,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | drugi(X0) )
    | spl26_147 ),
    inference(resolution,[],[f3555,f228]) ).

fof(f3719,plain,
    ( spl26_25
    | spl26_147 ),
    inference(avatar_split_clause,[],[f3718,f3347,f509]) ).

fof(f3875,plain,
    ( s3(n0)
    | ~ spl26_117 ),
    inference(resolution,[],[f2734,f224]) ).

fof(f3879,plain,
    ( ~ s1(n0)
    | ~ spl26_117 ),
    inference(resolution,[],[f3875,f193]) ).

fof(f3881,plain,
    ( $false
    | ~ spl26_117 ),
    inference(forward_subsumption_resolution,[],[f3879,f250]) ).

fof(f3882,plain,
    ~ spl26_117,
    inference(avatar_contradiction_clause,[],[f3881]) ).

fof(f3883,plain,
    ( ! [X0] :
        ( drugbg(X0)
        | gt(n0,X0) )
    | spl26_18 ),
    inference(resolution,[],[f2859,f547]) ).

fof(f3884,plain,
    ( spl26_28
    | spl26_18 ),
    inference(avatar_split_clause,[],[f3883,f432,f553]) ).

cnf(s23,plain,
    ( spl26_27
    | spl26_28 ),
    inference(sat_conversion,[],[f555]) ).

cnf(s24,plain,
    ( ~ spl26_7
    | ~ spl26_18
    | ~ spl26_27 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s55,plain,
    ( spl26_12
    | spl26_16 ),
    inference(sat_conversion,[],[f1013]) ).

cnf(s88,plain,
    ( spl26_23
    | ~ spl26_28 ),
    inference(sat_conversion,[],[f1578]) ).

cnf(s137,plain,
    ~ spl26_111,
    inference(sat_conversion,[],[f2663]) ).

cnf(s163,plain,
    ( ~ spl26_16
    | spl26_111 ),
    inference(sat_conversion,[],[f3069]) ).

cnf(s174,plain,
    ( ~ spl26_25
    | spl26_117 ),
    inference(sat_conversion,[],[f3157]) ).

cnf(s184,plain,
    ( ~ spl26_21
    | spl26_25 ),
    inference(sat_conversion,[],[f3247]) ).

cnf(s197,plain,
    ( spl26_7
    | ~ spl26_12
    | spl26_21 ),
    inference(sat_conversion,[],[f3281]) ).

cnf(s206,plain,
    ( ~ spl26_23
    | spl26_25
    | ~ spl26_147 ),
    inference(sat_conversion,[],[f3350]) ).

cnf(s234,plain,
    ( spl26_25
    | spl26_147 ),
    inference(sat_conversion,[],[f3719]) ).

cnf(s243,plain,
    ~ spl26_117,
    inference(sat_conversion,[],[f3882]) ).

cnf(s244,plain,
    ( spl26_18
    | spl26_28 ),
    inference(sat_conversion,[],[f3884]) ).

cnf(s246,plain,
    ~ spl26_25,
    inference(rat,[],[s174,s243]) ).

cnf(s247,plain,
    spl26_147,
    inference(rat,[],[s234,s246]) ).

cnf(s248,plain,
    ~ spl26_23,
    inference(rat,[],[s206,s247,s246]) ).

cnf(s249,plain,
    ~ spl26_21,
    inference(rat,[],[s184,s246]) ).

cnf(s260,plain,
    ~ spl26_16,
    inference(rat,[],[s163,s137]) ).

cnf(s286,plain,
    ~ spl26_28,
    inference(rat,[],[s88,s248]) ).

cnf(s287,plain,
    spl26_18,
    inference(rat,[],[s244,s286]) ).

cnf(s290,plain,
    spl26_12,
    inference(rat,[],[s55,s260]) ).

cnf(s292,plain,
    spl26_7,
    inference(rat,[],[s197,s249,s290]) ).

cnf(s304,plain,
    ~ spl26_27,
    inference(rat,[],[s24,s287,s292]) ).

cnf(s305,plain,
    $false,
    inference(rat,[],[s23,s286,s304]) ).

fof(f3885,plain,
    $false,
    inference(avatar_sat_refutation,[],[s305]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MED008+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37  % Computer : n017.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Sun Sep 27 17:10:35 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40  Running first-order model finding
% 0.09/0.40  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
% 0.26/0.48  % (2815211)Will run a generic schedule for satisfiability detection.
% 0.26/0.48  % (2815229)dis+10_1_sil=32000:sp=arity:random_seed=2964537240:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.26/0.48  % (2815227)% WARNING: option uhcvi not known.
% 0.26/0.48  % (2815226)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2876672438_2999 on theBenchmark for (2999ds/0Mi)
% 0.26/0.48  % (2815230)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4273558068:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.26/0.48  % (2815227)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=131689754:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.26/0.48  % (2815228)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1565067805:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.26/0.48  % (2815231)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3962550914:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.26/0.48  % (2815232)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2519210488:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.26/0.48  % TRYING [1]
% 0.26/0.48  % TRYING [2]
% 0.26/0.48  % TRYING [3]
% 0.26/0.48  % TRYING [4]
% 0.26/0.48  % TRYING [5]
% 0.26/0.48  % TRYING [6]
% 0.26/0.48  % (2815229) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2815211-2815229"...
% 0.26/0.48  % (2815229)...printing done.
% 0.26/0.48  % (2815229)Refutation found. Thanks to Tanya!
% 0.26/0.48  % SZS status Theorem for theBenchmark
% 0.26/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.48  % (2815229)------------------------------
% 0.26/0.48  % (2815229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.48  % (2815229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.48  % (2815229)CaDiCaL version: 2.1.3
% 0.26/0.48  % (2815229)Termination reason: Refutation
% 0.26/0.48  % (2815229)Time elapsed: 0.035 s
% 0.26/0.48  % (2815229)Peak memory usage: 13 MB
% 0.26/0.48  % (2815229)Instructions burned: 103 (million)
% 0.26/0.48  % (2815211)Success in time 0.069 s
% 0.26/0.48  % Vampire exiting
%------------------------------------------------------------------------------