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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : MED009+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 : n004.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 0.17s 5.84s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  170 (  15 unt;  13 def)
%            Number of atoms       :  796 (   0 equ)
%            Maximal formula atoms :   30 (   4 avg)
%            Number of connectives :  933 ( 307   ~; 404   |; 160   &)
%                                         (  10 <=>;  52  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   29 (  28 usr;  11 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :  253 (   0 sgn 234   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',irreflexivity_gt) ).

fof(f9,axiom,
    ! [X0] :
      ( ~ conditionhyper(X0)
      | ~ conditionnormo(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',xorcondition3) ).

fof(f24,axiom,
    ! [X0] :
      ( ~ s1(X0)
      | ~ s3(X0) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MED001+1.ax',normo) ).

fof(f33,axiom,
    ! [X0] :
      ( drugi(X0)
     => s3(X0) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MED001+1.ax',insulin_completion) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
     => ( ~ releaselg(X1)
       => uptakelg(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',uptake_completion) ).

fof(f39,axiom,
    ! [X0] :
      ( ( s1(X0)
        & ~ ! [X1] :
              ( ~ gt(X0,X1)
             => conditionnormo(X1) ) )
     => ? [X1] :
          ( ~ gt(X0,X1)
          & s2(X1)
          & ! [X2] :
              ( gt(X1,X2)
             => conditionhyper(X2) )
          & ( bcapacityne(X1)
            | bcapacityex(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',trans_ax2) ).

fof(f41,conjecture,
    ( ( s1(n0)
      & ! [X0] :
          ( gt(n0,X0)
         => conditionhyper(X0) )
      & ~ bcapacitysn(n0)
      & ~ qilt27(n0) )
   => ? [X0] :
        ( ~ gt(n0,X0)
        & s2(X0)
        & ! [X1] :
            ( gt(X0,X1)
           => conditionhyper(X1) )
        & ( bcapacityne(X0)
          | bcapacityex(X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transs1s2_qige27) ).

fof(f42,negated_conjecture,
    ~ ( ( s1(n0)
        & ! [X0] :
            ( gt(n0,X0)
           => conditionhyper(X0) )
        & ~ bcapacitysn(n0)
        & ~ qilt27(n0) )
     => ? [X0] :
          ( ~ gt(n0,X0)
          & s2(X0)
          & ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) )
          & ( bcapacityne(X0)
            | bcapacityex(X0) ) ) ),
    inference(negated_conjecture,[status(cth)],[f41]) ).

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(f55,plain,
    ! [X0] :
      ( ( s1(X0)
        & ~ ! [X1] :
              ( ~ gt(X0,X1)
             => conditionnormo(X1) ) )
     => ? [X2] :
          ( ~ gt(X0,X2)
          & s2(X2)
          & ! [X3] :
              ( gt(X2,X3)
             => conditionhyper(X3) )
          & ( bcapacityne(X2)
            | bcapacityex(X2) ) ) ),
    inference(rectify,[],[f39]) ).

fof(f57,plain,
    ~ ( ( s1(n0)
        & ! [X0] :
            ( gt(n0,X0)
           => conditionhyper(X0) )
        & ~ bcapacitysn(n0)
        & ~ qilt27(n0) )
     => ? [X1] :
          ( ~ gt(n0,X1)
          & s2(X1)
          & ! [X2] :
              ( gt(X1,X2)
             => conditionhyper(X2) )
          & ( bcapacityne(X1)
            | bcapacityex(X1) ) ) ),
    inference(rectify,[],[f42]) ).

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(f96,plain,
    ! [X0] :
      ( ? [X2] :
          ( ~ gt(X0,X2)
          & s2(X2)
          & ! [X3] :
              ( conditionhyper(X3)
              | ~ gt(X2,X3) )
          & ( bcapacityne(X2)
            | bcapacityex(X2) ) )
      | ~ s1(X0)
      | ! [X1] :
          ( conditionnormo(X1)
          | gt(X0,X1) ) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f97,plain,
    ! [X0] :
      ( ? [X2] :
          ( ~ gt(X0,X2)
          & s2(X2)
          & ! [X3] :
              ( conditionhyper(X3)
              | ~ gt(X2,X3) )
          & ( bcapacityne(X2)
            | bcapacityex(X2) ) )
      | ~ s1(X0)
      | ! [X1] :
          ( conditionnormo(X1)
          | gt(X0,X1) ) ),
    inference(flattening,[],[f96]) ).

fof(f100,plain,
    ( ! [X1] :
        ( gt(n0,X1)
        | ~ s2(X1)
        | ? [X2] :
            ( ~ conditionhyper(X2)
            & gt(X1,X2) )
        | ( ~ bcapacityne(X1)
          & ~ bcapacityex(X1) ) )
    & s1(n0)
    & ! [X0] :
        ( conditionhyper(X0)
        | ~ gt(n0,X0) )
    & ~ bcapacitysn(n0)
    & ~ qilt27(n0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f101,plain,
    ( ! [X1] :
        ( gt(n0,X1)
        | ~ s2(X1)
        | ? [X2] :
            ( ~ conditionhyper(X2)
            & gt(X1,X2) )
        | ( ~ bcapacityne(X1)
          & ~ bcapacityex(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(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(f140,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ gt(X0,X1)
          & s2(X1)
          & ! [X2] :
              ( conditionhyper(X2)
              | ~ gt(X1,X2) )
          & ( bcapacityne(X1)
            | bcapacityex(X1) ) )
      | ~ s1(X0)
      | ! [X3] :
          ( conditionnormo(X3)
          | gt(X0,X3) ) ),
    inference(rectify,[],[f97]) ).

fof(f141,plain,
    ! [X0] :
      ( ( ~ gt(X0,sK24(X0))
        & s2(sK24(X0))
        & ! [X2] :
            ( conditionhyper(X2)
            | ~ gt(sK24(X0),X2) )
        & ( bcapacityne(sK24(X0))
          | bcapacityex(sK24(X0)) ) )
      | ~ s1(X0)
      | ! [X3] :
          ( conditionnormo(X3)
          | gt(X0,X3) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X1,sK24(X0))],[f140]) ).

fof(f144,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | ~ s2(X0)
        | ? [X1] :
            ( ~ conditionhyper(X1)
            & gt(X0,X1) )
        | ( ~ bcapacityne(X0)
          & ~ bcapacityex(X0) ) )
    & s1(n0)
    & ! [X2] :
        ( conditionhyper(X2)
        | ~ gt(n0,X2) )
    & ~ bcapacitysn(n0)
    & ~ qilt27(n0) ),
    inference(rectify,[],[f101]) ).

fof(f145,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | ~ s2(X0)
        | ( ~ conditionhyper(sK26(X0))
          & gt(X0,sK26(X0)) )
        | ( ~ bcapacityne(X0)
          & ~ bcapacityex(X0) ) )
    & s1(n0)
    & ! [X2] :
        ( conditionhyper(X2)
        | ~ gt(n0,X2) )
    & ~ bcapacitysn(n0)
    & ~ qilt27(n0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X1,sK26(X0))],[f144]) ).

fof(f146,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f154,plain,
    ! [X0] :
      ( ~ conditionnormo(X0)
      | ~ conditionhyper(X0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f194,plain,
    ! [X0] :
      ( ~ s3(X0)
      | ~ s1(X0) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f198,plain,
    ! [X0] :
      ( ~ sP3(X0)
      | bcapacitysn(X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f203,plain,
    ! [X2,X0,X1] :
      ( gt(X0,X2)
      | gt(X0,X1)
      | uptakepg(X2)
      | ~ releaselg(X1)
      | ~ sP2(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f206,plain,
    ! [X2,X0] :
      ( gt(X0,X2)
      | uptakepg(X2)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f129]) ).

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

fof(f213,plain,
    ! [X0] :
      ( bcapacitysn(X0)
      | sP3(X0)
      | sP2(X0)
      | sP1(X0)
      | ~ conditionnormo(sK18(X0)) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f225,plain,
    ! [X0] :
      ( ~ drugi(X0)
      | s3(X0) ),
    inference(cnf_transformation,[],[f88]) ).

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

fof(f227,plain,
    ! [X0,X1] :
      ( ~ uptakepg(sK20(X0))
      | gt(X0,X1)
      | drugi(X1) ),
    inference(cnf_transformation,[],[f133]) ).

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

fof(f229,plain,
    ! [X0,X1] :
      ( ~ uptakelg(sK19(X0))
      | gt(X0,X1)
      | drugi(X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( gt(X0,X1)
      | releaselg(X1)
      | uptakelg(X1) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f240,plain,
    ! [X3,X0] :
      ( bcapacityex(sK24(X0))
      | gt(X0,X3)
      | ~ s1(X0)
      | conditionnormo(X3)
      | bcapacityne(sK24(X0)) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f241,plain,
    ! [X2,X3,X0] :
      ( ~ gt(sK24(X0),X2)
      | conditionhyper(X2)
      | ~ s1(X0)
      | conditionnormo(X3)
      | gt(X0,X3) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f242,plain,
    ! [X3,X0] :
      ( s2(sK24(X0))
      | gt(X0,X3)
      | conditionnormo(X3)
      | ~ s1(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f243,plain,
    ! [X3,X0] :
      ( ~ gt(X0,sK24(X0))
      | ~ s1(X0)
      | conditionnormo(X3)
      | gt(X0,X3) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f249,plain,
    ~ bcapacitysn(n0),
    inference(cnf_transformation,[],[f145]) ).

fof(f250,plain,
    ! [X2] :
      ( ~ gt(n0,X2)
      | conditionhyper(X2) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f251,plain,
    s1(n0),
    inference(cnf_transformation,[],[f145]) ).

fof(f252,plain,
    ! [X0] :
      ( gt(X0,sK26(X0))
      | ~ s2(X0)
      | gt(n0,X0)
      | ~ bcapacityex(X0) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f253,plain,
    ! [X0] :
      ( gt(X0,sK26(X0))
      | ~ s2(X0)
      | gt(n0,X0)
      | ~ bcapacityne(X0) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f254,plain,
    ! [X0] :
      ( ~ conditionhyper(sK26(X0))
      | ~ s2(X0)
      | gt(n0,X0)
      | ~ bcapacityex(X0) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f255,plain,
    ! [X0] :
      ( ~ conditionhyper(sK26(X0))
      | ~ s2(X0)
      | gt(n0,X0)
      | ~ bcapacityne(X0) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f655,plain,
    ! [X0] :
      ( releaselg(X0)
      | uptakelg(X0) ),
    inference(resolution,[],[f230,f146]) ).

fof(f1882,plain,
    ! [X0] :
      ( ~ conditionnormo(sK18(X0))
      | sP2(X0)
      | sP1(X0)
      | bcapacitysn(X0) ),
    inference(forward_subsumption_resolution,[],[f213,f198]) ).

fof(f2781,plain,
    ! [X0] :
      ( ~ gt(X0,sK18(X0))
      | sP2(X0)
      | sP1(X0)
      | bcapacitysn(X0) ),
    inference(forward_subsumption_resolution,[],[f212,f198]) ).

fof(f3229,plain,
    ! [X0,X1] :
      ( ~ s2(sK24(X0))
      | gt(n0,sK24(X0))
      | ~ bcapacityex(sK24(X0))
      | conditionhyper(sK26(sK24(X0)))
      | ~ s1(X0)
      | conditionnormo(X1)
      | gt(X0,X1) ),
    inference(resolution,[],[f252,f241]) ).

fof(f3231,plain,
    ! [X0,X1] :
      ( ~ s2(sK24(X0))
      | gt(n0,sK24(X0))
      | ~ bcapacityex(sK24(X0))
      | ~ s1(X0)
      | conditionnormo(X1)
      | gt(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f3229,f254]) ).

fof(f3239,plain,
    ! [X0,X1] :
      ( ~ s2(sK24(X0))
      | gt(n0,sK24(X0))
      | ~ bcapacityne(sK24(X0))
      | conditionhyper(sK26(sK24(X0)))
      | ~ s1(X0)
      | conditionnormo(X1)
      | gt(X0,X1) ),
    inference(resolution,[],[f253,f241]) ).

fof(f3241,plain,
    ! [X0,X1] :
      ( ~ s2(sK24(X0))
      | gt(n0,sK24(X0))
      | ~ bcapacityne(sK24(X0))
      | ~ s1(X0)
      | conditionnormo(X1)
      | gt(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f3239,f255]) ).

fof(f3953,definition,
    ( spl27_155
  <=> ! [X0] :
        ( conditionnormo(X0)
        | gt(n0,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl27_155])],[avatar_definition]) ).

fof(f3954,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | conditionnormo(X0) )
    | ~ spl27_155 ),
    inference(avatar_component_clause,[],[f3953]) ).

fof(f3956,definition,
    ( spl27_156
  <=> bcapacityex(sK24(n0)) ),
    introduced(definition,[new_symbols(definition,[spl27_156])],[avatar_definition]) ).

fof(f3957,plain,
    ( bcapacityex(sK24(n0))
    | ~ spl27_156 ),
    inference(avatar_component_clause,[],[f3956]) ).

fof(f3958,plain,
    ( ~ bcapacityex(sK24(n0))
    | spl27_156 ),
    inference(avatar_component_clause,[],[f3956]) ).

fof(f4088,plain,
    ( conditionnormo(n0)
    | ~ spl27_155 ),
    inference(resolution,[],[f3954,f146]) ).

fof(f4615,definition,
    ( spl27_166
  <=> bcapacityne(sK24(n0)) ),
    introduced(definition,[new_symbols(definition,[spl27_166])],[avatar_definition]) ).

fof(f4616,plain,
    ( bcapacityne(sK24(n0))
    | ~ spl27_166 ),
    inference(avatar_component_clause,[],[f4615]) ).

fof(f4617,plain,
    ( ~ bcapacityne(sK24(n0))
    | spl27_166 ),
    inference(avatar_component_clause,[],[f4615]) ).

fof(f4715,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | ~ s1(n0)
        | conditionnormo(X0)
        | bcapacityne(sK24(n0)) )
    | spl27_156 ),
    inference(resolution,[],[f3958,f240]) ).

fof(f4716,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | conditionnormo(X0)
        | bcapacityne(sK24(n0)) )
    | spl27_156 ),
    inference(forward_subsumption_resolution,[],[f4715,f251]) ).

fof(f4717,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | conditionnormo(X0) )
    | spl27_156
    | spl27_166 ),
    inference(forward_subsumption_resolution,[],[f4716,f4617]) ).

fof(f4718,plain,
    ( spl27_155
    | spl27_156
    | spl27_166 ),
    inference(avatar_split_clause,[],[f4717,f4615,f3956,f3953]) ).

fof(f4733,plain,
    ( ~ conditionhyper(n0)
    | ~ spl27_155 ),
    inference(resolution,[],[f4088,f154]) ).

fof(f4810,plain,
    ! [X0,X1] :
      ( ~ bcapacityne(sK24(X0))
      | gt(n0,sK24(X0))
      | ~ s1(X0)
      | conditionnormo(X1)
      | gt(X0,X1) ),
    inference(backward_subsumption_resolution,[],[f3241,f242]) ).

fof(f4811,plain,
    ! [X0,X1] :
      ( ~ bcapacityex(sK24(X0))
      | gt(n0,sK24(X0))
      | ~ s1(X0)
      | conditionnormo(X1)
      | gt(X0,X1) ),
    inference(backward_subsumption_resolution,[],[f3231,f242]) ).

fof(f4855,plain,
    ( ! [X0] :
        ( gt(n0,sK24(n0))
        | ~ s1(n0)
        | conditionnormo(X0)
        | gt(n0,X0) )
    | ~ spl27_166 ),
    inference(resolution,[],[f4810,f4616]) ).

fof(f4856,plain,
    ( ! [X0] :
        ( ~ s1(n0)
        | conditionnormo(X0)
        | gt(n0,X0) )
    | ~ spl27_166 ),
    inference(forward_subsumption_resolution,[],[f4855,f243]) ).

fof(f4857,plain,
    ( ! [X0] :
        ( conditionnormo(X0)
        | gt(n0,X0) )
    | ~ spl27_166 ),
    inference(forward_subsumption_resolution,[],[f4856,f251]) ).

fof(f4858,plain,
    ( spl27_155
    | ~ spl27_166 ),
    inference(avatar_split_clause,[],[f4857,f4615,f3953]) ).

fof(f5051,plain,
    ( ! [X0] :
        ( gt(n0,sK24(n0))
        | ~ s1(n0)
        | conditionnormo(X0)
        | gt(n0,X0) )
    | ~ spl27_156 ),
    inference(resolution,[],[f4811,f3957]) ).

fof(f5054,plain,
    ( ! [X0] :
        ( ~ s1(n0)
        | conditionnormo(X0)
        | gt(n0,X0) )
    | ~ spl27_156 ),
    inference(forward_subsumption_resolution,[],[f5051,f243]) ).

fof(f5055,plain,
    ( ! [X0] :
        ( conditionnormo(X0)
        | gt(n0,X0) )
    | ~ spl27_156 ),
    inference(forward_subsumption_resolution,[],[f5054,f251]) ).

fof(f5056,plain,
    ( spl27_155
    | ~ spl27_156 ),
    inference(avatar_split_clause,[],[f5055,f3956,f3953]) ).

fof(f5104,definition,
    ( spl27_173
  <=> sP2(n0) ),
    introduced(definition,[new_symbols(definition,[spl27_173])],[avatar_definition]) ).

fof(f5105,plain,
    ( sP2(n0)
    | ~ spl27_173 ),
    inference(avatar_component_clause,[],[f5104]) ).

fof(f5106,plain,
    ( ~ sP2(n0)
    | spl27_173 ),
    inference(avatar_component_clause,[],[f5104]) ).

fof(f5302,plain,
    ! [X0] :
      ( uptakepg(X0)
      | ~ sP1(n0)
      | conditionhyper(X0) ),
    inference(resolution,[],[f206,f250]) ).

fof(f5632,plain,
    ! [X0,X1] :
      ( gt(n0,X1)
      | uptakepg(X0)
      | ~ releaselg(X1)
      | ~ sP2(n0)
      | conditionhyper(X0) ),
    inference(resolution,[],[f203,f250]) ).

fof(f5693,plain,
    ( ! [X0,X1] :
        ( gt(n0,X1)
        | uptakepg(X0)
        | ~ releaselg(X1)
        | conditionhyper(X0) )
    | ~ spl27_173 ),
    inference(forward_subsumption_resolution,[],[f5632,f5105]) ).

fof(f6260,definition,
    ( spl27_205
  <=> ! [X0] :
        ( uptakepg(X0)
        | conditionhyper(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl27_205])],[avatar_definition]) ).

fof(f6261,plain,
    ( ! [X0] :
        ( uptakepg(X0)
        | conditionhyper(X0) )
    | ~ spl27_205 ),
    inference(avatar_component_clause,[],[f6260]) ).

fof(f6263,definition,
    ( spl27_206
  <=> ! [X1] :
        ( gt(n0,X1)
        | ~ releaselg(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl27_206])],[avatar_definition]) ).

fof(f6264,plain,
    ( ! [X1] :
        ( gt(n0,X1)
        | ~ releaselg(X1) )
    | ~ spl27_206 ),
    inference(avatar_component_clause,[],[f6263]) ).

fof(f6265,plain,
    ( spl27_205
    | spl27_206
    | ~ spl27_173 ),
    inference(avatar_split_clause,[],[f5693,f5104,f6263,f6260]) ).

fof(f6343,plain,
    ( ! [X0,X1] :
        ( conditionhyper(sK20(X0))
        | gt(X0,X1)
        | drugi(X1) )
    | ~ spl27_205 ),
    inference(resolution,[],[f6261,f227]) ).

fof(f6358,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | drugi(X0)
        | conditionnormo(sK20(n0)) )
    | ~ spl27_155 ),
    inference(resolution,[],[f226,f3954]) ).

fof(f6374,definition,
    ( spl27_208
  <=> conditionnormo(sK20(n0)) ),
    introduced(definition,[new_symbols(definition,[spl27_208])],[avatar_definition]) ).

fof(f6376,plain,
    ( conditionnormo(sK20(n0))
    | ~ spl27_208 ),
    inference(avatar_component_clause,[],[f6374]) ).

fof(f6378,definition,
    ( spl27_209
  <=> ! [X0] :
        ( gt(n0,X0)
        | drugi(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl27_209])],[avatar_definition]) ).

fof(f6379,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | drugi(X0) )
    | ~ spl27_209 ),
    inference(avatar_component_clause,[],[f6378]) ).

fof(f6380,plain,
    ( spl27_208
    | spl27_209
    | ~ spl27_155 ),
    inference(avatar_split_clause,[],[f6358,f3953,f6378,f6374]) ).

fof(f6382,plain,
    ( ~ conditionhyper(sK20(n0))
    | ~ spl27_208 ),
    inference(resolution,[],[f6376,f154]) ).

fof(f6387,plain,
    ( drugi(n0)
    | ~ spl27_209 ),
    inference(resolution,[],[f6379,f146]) ).

fof(f6419,plain,
    ( s3(n0)
    | ~ spl27_209 ),
    inference(resolution,[],[f6387,f225]) ).

fof(f6423,plain,
    ( ~ s1(n0)
    | ~ spl27_209 ),
    inference(resolution,[],[f6419,f194]) ).

fof(f6424,plain,
    ( $false
    | ~ spl27_209 ),
    inference(forward_subsumption_resolution,[],[f6423,f251]) ).

fof(f6425,plain,
    ~ spl27_209,
    inference(avatar_contradiction_clause,[],[f6424]) ).

fof(f6455,plain,
    ( ! [X0] :
        ( conditionhyper(sK20(n0))
        | drugi(X0)
        | conditionhyper(X0) )
    | ~ spl27_205 ),
    inference(resolution,[],[f6343,f250]) ).

fof(f6470,plain,
    ( ! [X0] :
        ( drugi(X0)
        | conditionhyper(X0) )
    | ~ spl27_205
    | ~ spl27_208 ),
    inference(forward_subsumption_resolution,[],[f6455,f6382]) ).

fof(f6477,plain,
    ( ! [X0] :
        ( s3(X0)
        | conditionhyper(X0) )
    | ~ spl27_205
    | ~ spl27_208 ),
    inference(resolution,[],[f6470,f225]) ).

fof(f6487,plain,
    ( ! [X0] :
        ( ~ s1(X0)
        | conditionhyper(X0) )
    | ~ spl27_205
    | ~ spl27_208 ),
    inference(resolution,[],[f6477,f194]) ).

fof(f6488,plain,
    ( conditionhyper(n0)
    | ~ spl27_205
    | ~ spl27_208 ),
    inference(resolution,[],[f6487,f251]) ).

fof(f6490,plain,
    ( $false
    | ~ spl27_155
    | ~ spl27_205
    | ~ spl27_208 ),
    inference(forward_subsumption_resolution,[],[f6488,f4733]) ).

fof(f6491,plain,
    ( ~ spl27_155
    | ~ spl27_205
    | ~ spl27_208 ),
    inference(avatar_contradiction_clause,[],[f6490]) ).

fof(f6547,plain,
    ( ! [X0] :
        ( ~ releaselg(sK19(n0))
        | gt(n0,X0)
        | drugi(X0) )
    | ~ spl27_206 ),
    inference(resolution,[],[f6264,f228]) ).

fof(f7460,definition,
    ( spl27_235
  <=> releaselg(sK19(n0)) ),
    introduced(definition,[new_symbols(definition,[spl27_235])],[avatar_definition]) ).

fof(f7462,plain,
    ( ~ releaselg(sK19(n0))
    | spl27_235 ),
    inference(avatar_component_clause,[],[f7460]) ).

fof(f7463,plain,
    ( spl27_209
    | ~ spl27_235
    | ~ spl27_206 ),
    inference(avatar_split_clause,[],[f6547,f6263,f7460,f6378]) ).

fof(f8576,plain,
    ( uptakelg(sK19(n0))
    | spl27_235 ),
    inference(resolution,[],[f655,f7462]) ).

fof(f8589,plain,
    ( ! [X0] :
        ( gt(n0,X0)
        | drugi(X0) )
    | spl27_235 ),
    inference(resolution,[],[f8576,f229]) ).

fof(f8817,plain,
    ( spl27_209
    | spl27_235 ),
    inference(avatar_split_clause,[],[f8589,f7460,f6378]) ).

fof(f8985,definition,
    ( spl27_254
  <=> sP1(n0) ),
    introduced(definition,[new_symbols(definition,[spl27_254])],[avatar_definition]) ).

fof(f8987,plain,
    ( ~ sP1(n0)
    | spl27_254 ),
    inference(avatar_component_clause,[],[f8985]) ).

fof(f8988,plain,
    ( ~ spl27_254
    | spl27_205 ),
    inference(avatar_split_clause,[],[f5302,f6260,f8985]) ).

fof(f9277,plain,
    ( sP2(n0)
    | sP1(n0)
    | bcapacitysn(n0)
    | conditionnormo(sK18(n0))
    | ~ spl27_155 ),
    inference(resolution,[],[f2781,f3954]) ).

fof(f9296,plain,
    ( sP1(n0)
    | bcapacitysn(n0)
    | conditionnormo(sK18(n0))
    | ~ spl27_155
    | spl27_173 ),
    inference(forward_subsumption_resolution,[],[f9277,f5106]) ).

fof(f9298,plain,
    ( bcapacitysn(n0)
    | conditionnormo(sK18(n0))
    | ~ spl27_155
    | spl27_173
    | spl27_254 ),
    inference(forward_subsumption_resolution,[],[f9296,f8987]) ).

fof(f9299,plain,
    ( conditionnormo(sK18(n0))
    | ~ spl27_155
    | spl27_173
    | spl27_254 ),
    inference(forward_subsumption_resolution,[],[f9298,f249]) ).

fof(f9585,plain,
    ( sP2(n0)
    | sP1(n0)
    | bcapacitysn(n0)
    | ~ spl27_155
    | spl27_173
    | spl27_254 ),
    inference(resolution,[],[f9299,f1882]) ).

fof(f9589,plain,
    ( sP1(n0)
    | bcapacitysn(n0)
    | ~ spl27_155
    | spl27_173
    | spl27_254 ),
    inference(forward_subsumption_resolution,[],[f9585,f5106]) ).

fof(f9590,plain,
    ( bcapacitysn(n0)
    | ~ spl27_155
    | spl27_173
    | spl27_254 ),
    inference(forward_subsumption_resolution,[],[f9589,f8987]) ).

fof(f9591,plain,
    ( $false
    | ~ spl27_155
    | spl27_173
    | spl27_254 ),
    inference(forward_subsumption_resolution,[],[f9590,f249]) ).

fof(f9592,plain,
    ( ~ spl27_155
    | spl27_173
    | spl27_254 ),
    inference(avatar_contradiction_clause,[],[f9591]) ).

cnf(s454,plain,
    ( spl27_155
    | spl27_156
    | spl27_166 ),
    inference(sat_conversion,[],[f4718]) ).

cnf(s465,plain,
    ( spl27_155
    | ~ spl27_166 ),
    inference(sat_conversion,[],[f4858]) ).

cnf(s474,plain,
    ( spl27_155
    | ~ spl27_156 ),
    inference(sat_conversion,[],[f5056]) ).

cnf(s519,plain,
    ( ~ spl27_173
    | spl27_205
    | spl27_206 ),
    inference(sat_conversion,[],[f6265]) ).

cnf(s527,plain,
    ( ~ spl27_155
    | spl27_208
    | spl27_209 ),
    inference(sat_conversion,[],[f6380]) ).

cnf(s530,plain,
    ~ spl27_209,
    inference(sat_conversion,[],[f6425]) ).

cnf(s533,plain,
    ( ~ spl27_155
    | ~ spl27_205
    | ~ spl27_208 ),
    inference(sat_conversion,[],[f6491]) ).

cnf(s571,plain,
    ( ~ spl27_206
    | spl27_209
    | ~ spl27_235 ),
    inference(sat_conversion,[],[f7463]) ).

cnf(s614,plain,
    ( spl27_209
    | spl27_235 ),
    inference(sat_conversion,[],[f8817]) ).

cnf(s627,plain,
    ( spl27_205
    | ~ spl27_254 ),
    inference(sat_conversion,[],[f8988]) ).

cnf(s645,plain,
    ( ~ spl27_155
    | spl27_173
    | spl27_254 ),
    inference(sat_conversion,[],[f9592]) ).

cnf(s646,plain,
    spl27_235,
    inference(rat,[],[s614,s530]) ).

cnf(s647,plain,
    ~ spl27_206,
    inference(rat,[],[s571,s646,s530]) ).

cnf(s651,plain,
    ( ~ spl27_155
    | spl27_208 ),
    inference(rat,[],[s527,s530]) ).

cnf(s652,plain,
    ( ~ spl27_173
    | spl27_205 ),
    inference(rat,[],[s519,s647]) ).

cnf(s662,plain,
    spl27_155,
    inference(rat,[],[s454,s465,s474]) ).

cnf(s663,plain,
    spl27_208,
    inference(rat,[],[s651,s662]) ).

cnf(s666,plain,
    ~ spl27_205,
    inference(rat,[],[s533,s662,s663]) ).

cnf(s669,plain,
    ~ spl27_254,
    inference(rat,[],[s627,s666]) ).

cnf(s670,plain,
    ~ spl27_173,
    inference(rat,[],[s652,s666]) ).

cnf(s673,plain,
    $false,
    inference(rat,[],[s645,s662,s669,s670]) ).

fof(f9593,plain,
    $false,
    inference(avatar_sat_refutation,[],[s673]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MED009+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/5.41  % Computer : n004.cluster.edu
% 0.13/5.41  % Model    : x86_64 x86_64
% 0.13/5.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.41  % Memory   : 8046.5625MB
% 0.13/5.41  % OS       : Linux 6.8.0-71-generic
% 0.13/5.41  % CPULimit : 300
% 0.13/5.41  % WCLimit  : 300
% 0.13/5.41  % DateTime : Sun Sep 27 17:15:12 UTC 2026
% 0.13/5.41  % CPUTime  : 
% 0.13/5.41  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/5.44  Running first-order model finding
% 0.13/5.44  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
% 0.17/5.84  % (3765543)Will run a generic schedule for satisfiability detection.
% 0.17/5.84  % (3765552)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=960848429:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/5.84  % (3765549)% WARNING: option uhcvi not known.
% 0.17/5.84  % (3765548)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2319430707_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/5.84  % (3765549)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=436424073:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/5.84  % (3765554)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1455699447:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/5.84  % (3765550)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3725169384:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/5.84  % (3765551)dis+10_1_sil=32000:sp=arity:random_seed=3045302077:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/5.84  % (3765553)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=707756646:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/5.84  % TRYING [1]
% 0.17/5.84  % TRYING [2]
% 0.17/5.84  % TRYING [3]
% 0.17/5.84  % TRYING [4]
% 0.17/5.84  % (3765552)Instruction limit reached! 
% 0.17/5.84  % (3765552)------------------------------
% 0.17/5.84  % (3765552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/5.84  % (3765552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/5.84  % (3765552)CaDiCaL version: 2.1.3
% 0.17/5.84  % (3765552)Termination reason: Instruction limit
% 0.17/5.84  % (3765552)Termination phase: Saturation
% 0.17/5.84  % (3765552)Time elapsed: 0.028 s
% 0.17/5.84  % (3765552)Peak memory usage: 12 MB
% 0.17/5.84  % (3765552)Instructions burned: 118 (million)
% 0.17/5.84  % (3765562)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4191251901:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.17/5.84  % TRYING [1]
% 0.17/5.84  % TRYING [5]
% 0.17/5.84  % TRYING [2]
% 0.17/5.84  % TRYING [3]
% 0.17/5.84  % TRYING [4]
% 0.17/5.84  % TRYING [5]
% 0.17/5.84  % (3765551)Instruction limit reached! 
% 0.17/5.84  % (3765551)------------------------------
% 0.17/5.84  % (3765551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/5.84  % (3765551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/5.84  % (3765551)CaDiCaL version: 2.1.3
% 0.17/5.84  % (3765551)Termination reason: Instruction limit
% 0.17/5.84  % (3765551)Termination phase: Saturation
% 0.17/5.84  % (3765551)Time elapsed: 0.059 s
% 0.17/5.84  % (3765551)Peak memory usage: 12 MB
% 0.17/5.84  % (3765551)Instructions burned: 104 (million)
% 0.17/5.84  % TRYING [6]
% 0.17/5.84  % (3765553)Instruction limit reached! 
% 0.17/5.84  % (3765553)------------------------------
% 0.17/5.84  % (3765553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/5.84  % (3765553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/5.84  % (3765553)CaDiCaL version: 2.1.3
% 0.17/5.84  % (3765553)Termination reason: Instruction limit
% 0.17/5.84  % (3765553)Termination phase: Saturation
% 0.17/5.84  % (3765553)Time elapsed: 0.069 s
% 0.17/5.84  % (3765553)Peak memory usage: 12 MB
% 0.17/5.84  % (3765553)Instructions burned: 133 (million)
% 0.17/5.84  % (3765564)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1026656876:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/5.84  % TRYING [6]
% 0.17/5.84  % (3765565)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=144567685:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.17/5.84  % (3765554)Instruction limit reached! 
% 0.17/5.84  % (3765554)------------------------------
% 0.17/5.84  % (3765554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/5.84  % (3765554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/5.84  % (3765554)CaDiCaL version: 2.1.3
% 0.17/5.84  % (3765554)Termination reason: Instruction limit
% 0.17/5.84  % (3765554)Termination phase: Saturation
% 0.17/5.84  % (3765554)Time elapsed: 0.098 s
% 0.17/5.84  % (3765554)Peak memory usage: 14 MB
% 0.17/5.84  % (3765554)Instructions burned: 159 (million)
% 0.17/5.84  % TRYING [7]
% 0.17/5.84  % (3765568)ott-21_1_sil=16000:fs=off:random_seed=4075146017:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.17/5.84  % TRYING [8]
% 0.17/5.84  % (3765564)Instruction limit reached! 
% 0.17/5.84  % (3765564)------------------------------
% 0.17/5.84  % (3765564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/5.84  % (3765564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/5.84  % (3765564)CaDiCaL version: 2.1.3
% 0.17/5.84  % (3765564)Termination reason: Instruction limit
% 0.17/5.84  % (3765564)Termination phase: Saturation
% 0.17/5.84  % (3765564)Time elapsed: 0.075 s
% 0.17/5.84  % (3765564)Peak memory usage: 13 MB
% 0.17/5.84  % (3765564)Instructions burned: 132 (million)
% 0.17/5.84  % (3765570)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=551754011:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.17/5.84  % TRYING [9]
% 0.17/5.84  % TRYING [7]
% 0.17/5.84  % (3765568)Instruction limit reached! 
% 0.17/5.84  % (3765568)------------------------------
% 0.17/5.84  % (3765568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/5.84  % (3765568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/5.84  % (3765568)CaDiCaL version: 2.1.3
% 0.17/5.84  % (3765568)Termination reason: Instruction limit
% 0.17/5.84  % (3765568)Termination phase: Saturation
% 0.17/5.84  % (3765568)Time elapsed: 0.092 s
% 0.17/5.84  % (3765568)Peak memory usage: 14 MB
% 0.17/5.84  % (3765568)Instructions burned: 181 (million)
% 0.17/5.84  % (3765562)Instruction limit reached! 
% 0.17/5.84  % (3765562)------------------------------
% 0.17/5.84  % (3765562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/5.84  % (3765562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/5.84  % (3765562)CaDiCaL version: 2.1.3
% 0.17/5.84  % (3765562)Termination reason: Instruction limit
% 0.17/5.84  % (3765562)Termination phase: Finite model building SAT solving
% 0.17/5.84  % (3765562)Time elapsed: 0.193 s
% 0.17/5.84  % (3765562)Peak memory usage: 15 MB
% 0.17/5.84  % (3765562)Instructions burned: 715 (million)
% 0.17/5.84  % (3765572)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2578841524:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 0.17/5.84  % TRYING [1]
% 0.17/5.84  % (3765573)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2814415843:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 0.17/5.84  % TRYING [2]
% 0.17/5.84  % TRYING [3]
% 0.17/5.84  % TRYING [4]
% 0.17/5.84  % TRYING [5]
% 0.17/5.84  % TRYING [6]
% 0.17/5.84  % TRYING [8]
% 0.17/5.84  % TRYING [7]
% 0.17/5.84  % (3765570) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3765543-3765570"...
% 0.17/5.84  % (3765570)...printing done.
% 0.17/5.84  % (3765570)Refutation found. Thanks to Tanya!
% 0.17/5.84  % SZS status Theorem for theBenchmark
% 0.17/5.84  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/5.85  % (3765570)------------------------------
% 0.17/5.85  % (3765570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/5.85  % (3765570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/5.85  % (3765570)CaDiCaL version: 2.1.3
% 0.17/5.85  % (3765570)Termination reason: Refutation
% 0.17/5.85  % (3765570)Time elapsed: 0.178 s
% 0.17/5.85  % (3765570)Peak memory usage: 15 MB
% 0.17/5.85  % (3765570)Instructions burned: 276 (million)
% 0.17/5.85  % (3765543)Success in time 0.397 s
% 0.17/5.85  % Vampire exiting
%------------------------------------------------------------------------------