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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : MED007+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 : n016.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 0.16s 0.54s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  218 (  27 unt;  20 def)
%            Number of atoms       :  905 (   0 equ)
%            Maximal formula atoms :   30 (   4 avg)
%            Number of connectives : 1031 ( 344   ~; 447   |; 166   &)
%                                         (  17 <=>;  57  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   37 (  36 usr;  18 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-1 aty)
%            Number of variables   :  262 (   0 sgn 241   !;  21   ?)

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

fof(f23,axiom,
    ! [X0] :
      ( ~ s1(X0)
      | ~ s2(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+1.ax',xorstep5) ).

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(f31,axiom,
    ! [X0] :
      ( drugbg(X0)
     => ( ( s1(X0)
          & ~ qilt27(X0) )
        | s2(X0)
        | s3(X0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+1.ax',bgcomp) ).

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(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(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/sandbox/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/sandbox/benchmark/theBenchmark.p',transs1s2_qilt27) ).

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

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(f84,plain,
    ! [X0] :
      ( ( s1(X0)
        & ~ qilt27(X0) )
      | s2(X0)
      | s3(X0)
      | ~ drugbg(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f85,plain,
    ! [X0] :
      ( ( s1(X0)
        & ~ qilt27(X0) )
      | s2(X0)
      | s3(X0)
      | ~ drugbg(X0) ),
    inference(flattening,[],[f84]) ).

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

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(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(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(f193,plain,
    ! [X0] :
      ( ~ s2(X0)
      | ~ s1(X0) ),
    inference(cnf_transformation,[],[f23]) ).

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

fof(f207,plain,
    ! [X0,X1] :
      ( ~ sP1(X0)
      | gt(X0,X1)
      | uptakelg(X1) ),
    inference(cnf_transformation,[],[f129]) ).

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

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

fof(f222,plain,
    ! [X0] :
      ( ~ qilt27(X0)
      | s2(X0)
      | s3(X0)
      | ~ drugbg(X0) ),
    inference(cnf_transformation,[],[f85]) ).

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

fof(f236,plain,
    ! [X0,X1] :
      ( drugbg(X1)
      | gt(X0,X1)
      | releaselg(sK22(X0)) ),
    inference(cnf_transformation,[],[f137]) ).

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

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

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

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

fof(f248,plain,
    qilt27(n0),
    inference(cnf_transformation,[],[f145]) ).

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

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

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

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

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

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

fof(f284,plain,
    ( s2(n0)
    | s3(n0)
    | ~ drugbg(n0) ),
    inference(resolution,[],[f222,f248]) ).

fof(f286,definition,
    ( spl27_3
  <=> drugbg(n0) ),
    introduced(definition,[new_symbols(definition,[spl27_3])],[avatar_definition]) ).

fof(f288,plain,
    ( ~ drugbg(n0)
    | spl27_3 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f290,definition,
    ( spl27_4
  <=> s3(n0) ),
    introduced(definition,[new_symbols(definition,[spl27_4])],[avatar_definition]) ).

fof(f291,plain,
    ( ~ s3(n0)
    | spl27_4 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f292,plain,
    ( s3(n0)
    | ~ spl27_4 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f294,definition,
    ( spl27_5
  <=> s2(n0) ),
    introduced(definition,[new_symbols(definition,[spl27_5])],[avatar_definition]) ).

fof(f296,plain,
    ( s2(n0)
    | ~ spl27_5 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f297,plain,
    ( ~ spl27_3
    | spl27_4
    | spl27_5 ),
    inference(avatar_split_clause,[],[f284,f294,f290,f286]) ).

fof(f301,plain,
    ( ! [X0] :
        ( releaselg(sK22(X0))
        | gt(X0,n0) )
    | spl27_3 ),
    inference(resolution,[],[f236,f288]) ).

fof(f324,plain,
    ! [X0] :
      ( s2(sK24(n0))
      | conditionnormo(X0)
      | gt(n0,X0) ),
    inference(resolution,[],[f242,f251]) ).

fof(f328,definition,
    ( spl27_6
  <=> ! [X0] :
        ( conditionnormo(X0)
        | gt(n0,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl27_6])],[avatar_definition]) ).

fof(f329,plain,
    ( ! [X0] :
        ( conditionnormo(X0)
        | gt(n0,X0) )
    | ~ spl27_6 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f331,definition,
    ( spl27_7
  <=> s2(sK24(n0)) ),
    introduced(definition,[new_symbols(definition,[spl27_7])],[avatar_definition]) ).

fof(f333,plain,
    ( s2(sK24(n0))
    | ~ spl27_7 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f334,plain,
    ( spl27_6
    | spl27_7 ),
    inference(avatar_split_clause,[],[f324,f331,f328]) ).

fof(f362,plain,
    ! [X0] :
      ( ~ gt(n0,sK24(n0))
      | conditionnormo(X0)
      | gt(n0,X0) ),
    inference(resolution,[],[f243,f251]) ).

fof(f381,plain,
    ! [X0] :
      ( bcapacityex(sK24(n0))
      | bcapacityne(sK24(n0))
      | conditionnormo(X0)
      | gt(n0,X0) ),
    inference(resolution,[],[f240,f251]) ).

fof(f386,plain,
    ! [X0,X1] :
      ( ~ gt(sK24(n0),X0)
      | conditionhyper(X0)
      | conditionnormo(X1)
      | gt(n0,X1) ),
    inference(resolution,[],[f241,f251]) ).

fof(f414,definition,
    ( spl27_8
  <=> gt(n0,sK18(n0)) ),
    introduced(definition,[new_symbols(definition,[spl27_8])],[avatar_definition]) ).

fof(f415,plain,
    ( ~ gt(n0,sK18(n0))
    | spl27_8 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f416,plain,
    ( gt(n0,sK18(n0))
    | ~ spl27_8 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f421,definition,
    ( spl27_10
  <=> sP1(n0) ),
    introduced(definition,[new_symbols(definition,[spl27_10])],[avatar_definition]) ).

fof(f422,plain,
    ( ~ sP1(n0)
    | spl27_10 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f423,plain,
    ( sP1(n0)
    | ~ spl27_10 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f426,definition,
    ( spl27_11
  <=> gt(n0,sK24(n0)) ),
    introduced(definition,[new_symbols(definition,[spl27_11])],[avatar_definition]) ).

fof(f429,plain,
    ( spl27_6
    | ~ spl27_11 ),
    inference(avatar_split_clause,[],[f362,f426,f328]) ).

fof(f431,definition,
    ( spl27_12
  <=> bcapacityne(sK24(n0)) ),
    introduced(definition,[new_symbols(definition,[spl27_12])],[avatar_definition]) ).

fof(f435,definition,
    ( spl27_13
  <=> bcapacityex(sK24(n0)) ),
    introduced(definition,[new_symbols(definition,[spl27_13])],[avatar_definition]) ).

fof(f438,plain,
    ( spl27_6
    | spl27_12
    | spl27_13 ),
    inference(avatar_split_clause,[],[f381,f435,f431,f328]) ).

fof(f440,definition,
    ( spl27_14
  <=> ! [X0] :
        ( ~ gt(sK24(n0),X0)
        | conditionhyper(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl27_14])],[avatar_definition]) ).

fof(f441,plain,
    ( ! [X0] :
        ( ~ gt(sK24(n0),X0)
        | conditionhyper(X0) )
    | ~ spl27_14 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f442,plain,
    ( spl27_6
    | spl27_14 ),
    inference(avatar_split_clause,[],[f386,f440,f328]) ).

fof(f451,plain,
    ( gt(n0,sK24(n0))
    | gt(sK24(n0),sK26(sK24(n0)))
    | ~ bcapacityex(sK24(n0))
    | ~ spl27_7 ),
    inference(resolution,[],[f333,f252]) ).

fof(f452,plain,
    ( gt(n0,sK24(n0))
    | gt(sK24(n0),sK26(sK24(n0)))
    | ~ bcapacityne(sK24(n0))
    | ~ spl27_7 ),
    inference(resolution,[],[f333,f253]) ).

fof(f453,plain,
    ( gt(n0,sK24(n0))
    | ~ conditionhyper(sK26(sK24(n0)))
    | ~ bcapacityex(sK24(n0))
    | ~ spl27_7 ),
    inference(resolution,[],[f333,f254]) ).

fof(f454,plain,
    ( gt(n0,sK24(n0))
    | ~ conditionhyper(sK26(sK24(n0)))
    | ~ bcapacityne(sK24(n0))
    | ~ spl27_7 ),
    inference(resolution,[],[f333,f255]) ).

fof(f456,definition,
    ( spl27_15
  <=> conditionhyper(sK26(sK24(n0))) ),
    introduced(definition,[new_symbols(definition,[spl27_15])],[avatar_definition]) ).

fof(f458,plain,
    ( ~ conditionhyper(sK26(sK24(n0)))
    | spl27_15 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f459,plain,
    ( ~ spl27_12
    | ~ spl27_15
    | spl27_11
    | ~ spl27_7 ),
    inference(avatar_split_clause,[],[f454,f331,f426,f456,f431]) ).

fof(f460,plain,
    ( ~ spl27_13
    | ~ spl27_15
    | spl27_11
    | ~ spl27_7 ),
    inference(avatar_split_clause,[],[f453,f331,f426,f456,f435]) ).

fof(f462,definition,
    ( spl27_16
  <=> gt(sK24(n0),sK26(sK24(n0))) ),
    introduced(definition,[new_symbols(definition,[spl27_16])],[avatar_definition]) ).

fof(f464,plain,
    ( gt(sK24(n0),sK26(sK24(n0)))
    | ~ spl27_16 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f465,plain,
    ( ~ spl27_12
    | spl27_16
    | spl27_11
    | ~ spl27_7 ),
    inference(avatar_split_clause,[],[f452,f331,f426,f462,f431]) ).

fof(f466,plain,
    ( ~ spl27_13
    | spl27_16
    | spl27_11
    | ~ spl27_7 ),
    inference(avatar_split_clause,[],[f451,f331,f426,f462,f435]) ).

fof(f528,plain,
    ( sP3(n0)
    | sP2(n0)
    | sP1(n0)
    | bcapacitysn(n0)
    | ~ spl27_8 ),
    inference(resolution,[],[f416,f212]) ).

fof(f533,plain,
    ( sP2(n0)
    | sP1(n0)
    | bcapacitysn(n0)
    | ~ spl27_8 ),
    inference(forward_subsumption_resolution,[],[f528,f198]) ).

fof(f535,plain,
    ( sP2(n0)
    | sP1(n0)
    | ~ spl27_8 ),
    inference(forward_subsumption_resolution,[],[f533,f249]) ).

fof(f542,definition,
    ( spl27_26
  <=> sP2(n0) ),
    introduced(definition,[new_symbols(definition,[spl27_26])],[avatar_definition]) ).

fof(f543,plain,
    ( ~ sP2(n0)
    | spl27_26 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f544,plain,
    ( sP2(n0)
    | ~ spl27_26 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f548,plain,
    ( conditionhyper(sK26(sK24(n0)))
    | ~ spl27_14
    | ~ spl27_16 ),
    inference(resolution,[],[f464,f441]) ).

fof(f552,plain,
    ( $false
    | ~ spl27_14
    | spl27_15
    | ~ spl27_16 ),
    inference(forward_subsumption_resolution,[],[f548,f458]) ).

fof(f553,plain,
    ( ~ spl27_14
    | spl27_15
    | ~ spl27_16 ),
    inference(avatar_contradiction_clause,[],[f552]) ).

fof(f579,plain,
    ( ! [X0] :
        ( gt(n0,sK18(X0))
        | sP3(X0)
        | sP2(X0)
        | sP1(X0)
        | bcapacitysn(X0) )
    | ~ spl27_6 ),
    inference(resolution,[],[f329,f213]) ).

fof(f581,plain,
    ( ! [X0] :
        ( sP2(X0)
        | gt(n0,sK18(X0))
        | sP1(X0)
        | bcapacitysn(X0) )
    | ~ spl27_6 ),
    inference(forward_subsumption_resolution,[],[f579,f198]) ).

fof(f892,definition,
    ( spl27_51
  <=> gt(n0,sK19(n0)) ),
    introduced(definition,[new_symbols(definition,[spl27_51])],[avatar_definition]) ).

fof(f893,plain,
    ( ~ gt(n0,sK19(n0))
    | spl27_51 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f894,plain,
    ( gt(n0,sK19(n0))
    | ~ spl27_51 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f898,plain,
    ( spl27_10
    | spl27_26
    | ~ spl27_8 ),
    inference(avatar_split_clause,[],[f535,f414,f542,f421]) ).

fof(f928,plain,
    ( ! [X0,X1] :
        ( gt(n0,X0)
        | uptakepg(X1)
        | gt(n0,X1)
        | ~ releaselg(X0) )
    | ~ spl27_26 ),
    inference(resolution,[],[f544,f203]) ).

fof(f935,definition,
    ( spl27_52
  <=> ! [X1] :
        ( uptakepg(X1)
        | gt(n0,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl27_52])],[avatar_definition]) ).

fof(f936,plain,
    ( ! [X1] :
        ( uptakepg(X1)
        | gt(n0,X1) )
    | ~ spl27_52 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f938,definition,
    ( spl27_53
  <=> ! [X0] :
        ( gt(n0,X0)
        | ~ releaselg(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl27_53])],[avatar_definition]) ).

fof(f939,plain,
    ( ! [X0] :
        ( ~ releaselg(X0)
        | gt(n0,X0) )
    | ~ spl27_53 ),
    inference(avatar_component_clause,[],[f938]) ).

fof(f940,plain,
    ( spl27_52
    | spl27_53
    | ~ spl27_26 ),
    inference(avatar_split_clause,[],[f928,f542,f938,f935]) ).

fof(f948,plain,
    ( ! [X0] :
        ( uptakelg(X0)
        | gt(n0,X0) )
    | ~ spl27_10 ),
    inference(resolution,[],[f423,f207]) ).

fof(f990,plain,
    ( ! [X0] :
        ( drugi(X0)
        | gt(n0,X0) )
    | ~ spl27_51 ),
    inference(resolution,[],[f894,f228]) ).

fof(f1013,plain,
    ( ! [X0,X1] :
        ( drugi(X1)
        | gt(X0,X1)
        | gt(n0,sK19(X0)) )
    | ~ spl27_10 ),
    inference(resolution,[],[f948,f229]) ).

fof(f1022,plain,
    ( ! [X0,X1] :
        ( drugi(X1)
        | gt(X0,X1)
        | gt(n0,sK20(X0)) )
    | ~ spl27_52 ),
    inference(resolution,[],[f936,f227]) ).

fof(f1032,plain,
    ( ! [X0] :
        ( s3(X0)
        | gt(n0,X0) )
    | ~ spl27_51 ),
    inference(resolution,[],[f990,f225]) ).

fof(f1045,plain,
    ( ! [X0] :
        ( ~ s1(X0)
        | gt(n0,X0) )
    | ~ spl27_51 ),
    inference(resolution,[],[f1032,f194]) ).

fof(f1083,plain,
    ( gt(n0,n0)
    | ~ spl27_51 ),
    inference(resolution,[],[f1045,f251]) ).

fof(f1088,plain,
    ( $false
    | ~ spl27_51 ),
    inference(forward_subsumption_resolution,[],[f1083,f146]) ).

fof(f1089,plain,
    ~ spl27_51,
    inference(avatar_contradiction_clause,[],[f1088]) ).

fof(f1231,plain,
    ( ! [X0,X1] :
        ( s3(X1)
        | gt(n0,sK19(X0))
        | gt(X0,X1) )
    | ~ spl27_10 ),
    inference(resolution,[],[f1013,f225]) ).

fof(f1239,plain,
    ( ! [X0,X1] :
        ( s3(X1)
        | gt(n0,sK20(X0))
        | gt(X0,X1) )
    | ~ spl27_52 ),
    inference(resolution,[],[f1022,f225]) ).

fof(f1251,plain,
    ( ! [X0,X1] :
        ( ~ s1(X1)
        | gt(X0,X1)
        | gt(n0,sK19(X0)) )
    | ~ spl27_10 ),
    inference(resolution,[],[f1231,f194]) ).

fof(f1262,plain,
    ( ! [X0,X1] :
        ( ~ s1(X1)
        | gt(X0,X1)
        | gt(n0,sK20(X0)) )
    | ~ spl27_52 ),
    inference(resolution,[],[f1239,f194]) ).

fof(f1275,plain,
    ( ! [X0] :
        ( gt(X0,n0)
        | gt(n0,sK19(X0)) )
    | ~ spl27_10 ),
    inference(resolution,[],[f1251,f251]) ).

fof(f1298,plain,
    ( gt(n0,n0)
    | ~ spl27_10
    | spl27_51 ),
    inference(resolution,[],[f1275,f893]) ).

fof(f1306,plain,
    ( $false
    | ~ spl27_10
    | spl27_51 ),
    inference(forward_subsumption_resolution,[],[f1298,f146]) ).

fof(f1307,plain,
    ( ~ spl27_10
    | spl27_51 ),
    inference(avatar_contradiction_clause,[],[f1306]) ).

fof(f1510,plain,
    ( ! [X0] :
        ( gt(X0,n0)
        | gt(n0,sK20(X0)) )
    | ~ spl27_52 ),
    inference(resolution,[],[f1262,f251]) ).

fof(f1540,plain,
    ( ! [X0] :
        ( gt(n0,n0)
        | gt(n0,X0)
        | drugi(X0) )
    | ~ spl27_52 ),
    inference(resolution,[],[f1510,f226]) ).

fof(f1546,plain,
    ( ! [X0] :
        ( drugi(X0)
        | gt(n0,X0) )
    | ~ spl27_52 ),
    inference(forward_subsumption_resolution,[],[f1540,f146]) ).

fof(f1599,plain,
    ( ! [X0] :
        ( gt(n0,sK22(X0))
        | gt(X0,n0) )
    | spl27_3
    | ~ spl27_53 ),
    inference(resolution,[],[f939,f301]) ).

fof(f1606,plain,
    ( ! [X0] :
        ( gt(n0,n0)
        | gt(n0,X0)
        | drugbg(X0) )
    | spl27_3
    | ~ spl27_53 ),
    inference(resolution,[],[f1599,f235]) ).

fof(f1681,plain,
    ( ! [X0] :
        ( drugbg(X0)
        | gt(n0,X0) )
    | spl27_3
    | ~ spl27_53 ),
    inference(forward_subsumption_resolution,[],[f1606,f146]) ).

fof(f1688,plain,
    ( ~ s1(n0)
    | ~ spl27_4 ),
    inference(resolution,[],[f292,f194]) ).

fof(f1690,plain,
    ( $false
    | ~ spl27_4 ),
    inference(forward_subsumption_resolution,[],[f1688,f251]) ).

fof(f1691,plain,
    ~ spl27_4,
    inference(avatar_contradiction_clause,[],[f1690]) ).

fof(f1697,plain,
    ( ~ s1(n0)
    | ~ spl27_5 ),
    inference(resolution,[],[f296,f193]) ).

fof(f1710,plain,
    ( $false
    | ~ spl27_5 ),
    inference(forward_subsumption_resolution,[],[f1697,f251]) ).

fof(f1711,plain,
    ~ spl27_5,
    inference(avatar_contradiction_clause,[],[f1710]) ).

fof(f1784,plain,
    ( gt(n0,n0)
    | spl27_3
    | ~ spl27_53 ),
    inference(resolution,[],[f1681,f288]) ).

fof(f1785,plain,
    ( $false
    | spl27_3
    | ~ spl27_53 ),
    inference(forward_subsumption_resolution,[],[f1784,f146]) ).

fof(f1786,plain,
    ( spl27_3
    | ~ spl27_53 ),
    inference(avatar_contradiction_clause,[],[f1785]) ).

fof(f1816,plain,
    ( ! [X0] :
        ( s3(X0)
        | gt(n0,X0) )
    | ~ spl27_52 ),
    inference(resolution,[],[f1546,f225]) ).

fof(f1847,plain,
    ( gt(n0,n0)
    | spl27_4
    | ~ spl27_52 ),
    inference(resolution,[],[f1816,f291]) ).

fof(f1848,plain,
    ( $false
    | spl27_4
    | ~ spl27_52 ),
    inference(forward_subsumption_resolution,[],[f1847,f146]) ).

fof(f1849,plain,
    ( spl27_4
    | ~ spl27_52 ),
    inference(avatar_contradiction_clause,[],[f1848]) ).

fof(f1854,plain,
    ( gt(n0,sK18(n0))
    | sP1(n0)
    | bcapacitysn(n0)
    | ~ spl27_6
    | spl27_26 ),
    inference(resolution,[],[f543,f581]) ).

fof(f1860,plain,
    ( sP1(n0)
    | bcapacitysn(n0)
    | ~ spl27_6
    | spl27_8
    | spl27_26 ),
    inference(forward_subsumption_resolution,[],[f1854,f415]) ).

fof(f1862,plain,
    ( bcapacitysn(n0)
    | ~ spl27_6
    | spl27_8
    | spl27_10
    | spl27_26 ),
    inference(forward_subsumption_resolution,[],[f1860,f422]) ).

fof(f1864,plain,
    ( $false
    | ~ spl27_6
    | spl27_8
    | spl27_10
    | spl27_26 ),
    inference(forward_subsumption_resolution,[],[f1862,f249]) ).

fof(f1865,plain,
    ( ~ spl27_6
    | spl27_8
    | spl27_10
    | spl27_26 ),
    inference(avatar_contradiction_clause,[],[f1864]) ).

cnf(s3,plain,
    ( ~ spl27_3
    | spl27_4
    | spl27_5 ),
    inference(sat_conversion,[],[f297]) ).

cnf(s4,plain,
    ( spl27_6
    | spl27_7 ),
    inference(sat_conversion,[],[f334]) ).

cnf(s6,plain,
    ( spl27_6
    | ~ spl27_11 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s7,plain,
    ( spl27_6
    | spl27_12
    | spl27_13 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s8,plain,
    ( spl27_6
    | spl27_14 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s9,plain,
    ( ~ spl27_7
    | spl27_11
    | ~ spl27_12
    | ~ spl27_15 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s10,plain,
    ( ~ spl27_7
    | spl27_11
    | ~ spl27_13
    | ~ spl27_15 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s11,plain,
    ( ~ spl27_7
    | spl27_11
    | ~ spl27_12
    | spl27_16 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s12,plain,
    ( ~ spl27_7
    | spl27_11
    | ~ spl27_13
    | spl27_16 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s22,plain,
    ( ~ spl27_14
    | spl27_15
    | ~ spl27_16 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s47,plain,
    ( ~ spl27_8
    | spl27_10
    | spl27_26 ),
    inference(sat_conversion,[],[f898]) ).

cnf(s53,plain,
    ( ~ spl27_26
    | spl27_52
    | spl27_53 ),
    inference(sat_conversion,[],[f940]) ).

cnf(s62,plain,
    ~ spl27_51,
    inference(sat_conversion,[],[f1089]) ).

cnf(s64,plain,
    ( ~ spl27_10
    | spl27_51 ),
    inference(sat_conversion,[],[f1307]) ).

cnf(s87,plain,
    ~ spl27_4,
    inference(sat_conversion,[],[f1691]) ).

cnf(s89,plain,
    ~ spl27_5,
    inference(sat_conversion,[],[f1711]) ).

cnf(s92,plain,
    ( spl27_3
    | ~ spl27_53 ),
    inference(sat_conversion,[],[f1786]) ).

cnf(s93,plain,
    ( spl27_4
    | ~ spl27_52 ),
    inference(sat_conversion,[],[f1849]) ).

cnf(s95,plain,
    ( ~ spl27_6
    | spl27_8
    | spl27_10
    | spl27_26 ),
    inference(sat_conversion,[],[f1865]) ).

cnf(s97,plain,
    ~ spl27_52,
    inference(rat,[],[s93,s87]) ).

cnf(s98,plain,
    ~ spl27_10,
    inference(rat,[],[s64,s62]) ).

cnf(s100,plain,
    ( ~ spl27_26
    | spl27_53 ),
    inference(rat,[],[s53,s97]) ).

cnf(s102,plain,
    ( ~ spl27_8
    | spl27_26 ),
    inference(rat,[],[s47,s98]) ).

cnf(s106,plain,
    ~ spl27_3,
    inference(rat,[],[s3,s89,s87]) ).

cnf(s107,plain,
    ~ spl27_53,
    inference(rat,[],[s92,s106]) ).

cnf(s108,plain,
    ~ spl27_26,
    inference(rat,[],[s100,s107]) ).

cnf(s109,plain,
    ~ spl27_8,
    inference(rat,[],[s102,s108]) ).

cnf(s110,plain,
    ~ spl27_6,
    inference(rat,[],[s95,s108,s98,s109]) ).

cnf(s112,plain,
    spl27_14,
    inference(rat,[],[s8,s110]) ).

cnf(s113,plain,
    ~ spl27_11,
    inference(rat,[],[s6,s110]) ).

cnf(s114,plain,
    spl27_7,
    inference(rat,[],[s4,s110]) ).

cnf(s117,plain,
    ~ spl27_13,
    inference(rat,[],[s22,s10,s12,s112,s113,s114]) ).

cnf(s119,plain,
    spl27_12,
    inference(rat,[],[s7,s110,s117]) ).

cnf(s120,plain,
    spl27_16,
    inference(rat,[],[s11,s114,s113,s119]) ).

cnf(s121,plain,
    ~ spl27_15,
    inference(rat,[],[s9,s114,s113,s119]) ).

cnf(s122,plain,
    $false,
    inference(rat,[],[s22,s112,s120,s121]) ).

fof(f1868,plain,
    $false,
    inference(avatar_sat_refutation,[],[s122]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MED007+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39  % Computer : n016.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.40  % CPULimit : 300
% 0.12/0.40  % WCLimit  : 300
% 0.12/0.40  % DateTime : Sun Sep 27 17:20:18 UTC 2026
% 0.12/0.40  % CPUTime  : 
% 0.12/0.40  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43  Running first-order model finding
% 0.12/0.43  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
% 0.16/0.54  % (2865856)Will run a generic schedule for satisfiability detection.
% 0.16/0.54  % (2865864)dis+10_1_sil=32000:sp=arity:random_seed=318004191:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.54  % (2865862)% WARNING: option uhcvi not known.
% 0.16/0.54  % (2865863)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4212003125:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.54  % (2865861)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4210362959_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.54  % (2865862)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2237162855:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.54  % (2865865)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3640287654:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.54  % (2865866)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3300550427:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.54  % TRYING [1]
% 0.16/0.54  % TRYING [2]
% 0.16/0.54  % TRYING [3]
% 0.16/0.54  % (2865867)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3024563028:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.54  % TRYING [4]
% 0.16/0.54  % (2865864)Instruction limit reached! 
% 0.16/0.54  % (2865864)------------------------------
% 0.16/0.54  % (2865864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.54  % (2865864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.54  % (2865864)CaDiCaL version: 2.1.3
% 0.16/0.54  % (2865864)Termination reason: Instruction limit
% 0.16/0.54  % (2865864)Termination phase: Saturation
% 0.16/0.54  % (2865864)Time elapsed: 0.034 s
% 0.16/0.54  % (2865864)Peak memory usage: 12 MB
% 0.16/0.54  % (2865864)Instructions burned: 104 (million)
% 0.16/0.54  % TRYING [5]
% 0.16/0.54  % (2865875)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3473766536:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.16/0.54  % TRYING [1]
% 0.16/0.54  % TRYING [2]
% 0.16/0.54  % TRYING [3]
% 0.16/0.54  % TRYING [4]
% 0.16/0.54  % TRYING [5]
% 0.16/0.54  % (2865865)Instruction limit reached! 
% 0.16/0.54  % (2865865)------------------------------
% 0.16/0.54  % (2865865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.54  % (2865865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.54  % (2865865)CaDiCaL version: 2.1.3
% 0.16/0.54  % (2865865)Termination reason: Instruction limit
% 0.16/0.54  % (2865865)Termination phase: Saturation
% 0.16/0.54  % (2865865)Time elapsed: 0.051 s
% 0.16/0.54  % (2865865)Peak memory usage: 12 MB
% 0.16/0.54  % (2865865)Instructions burned: 116 (million)
% 0.16/0.54  % (2865866) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2865856-2865866"...
% 0.16/0.54  % (2865866)...printing done.
% 0.16/0.54  % (2865866)Refutation found. Thanks to Tanya!
% 0.16/0.54  % SZS status Theorem for theBenchmark
% 0.16/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.54  % (2865866)------------------------------
% 0.16/0.54  % (2865866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.54  % (2865866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.54  % (2865866)CaDiCaL version: 2.1.3
% 0.16/0.54  % (2865866)Termination reason: Refutation
% 0.16/0.54  % (2865866)Time elapsed: 0.060 s
% 0.16/0.54  % (2865866)Peak memory usage: 13 MB
% 0.16/0.54  % (2865866)Instructions burned: 98 (million)
% 0.16/0.54  % (2865856)Success in time 0.096 s
% 0.16/0.54  % Vampire exiting
%------------------------------------------------------------------------------