TSTP Solution File: MED009+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : MED009+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 09:06:19 EDT 2023

% Result   : Theorem 3.94s 1.16s
% Output   : CNFRefutation 3.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  131 (   9 unt;   0 def)
%            Number of atoms       :  734 (   0 equ)
%            Maximal formula atoms :   30 (   5 avg)
%            Number of connectives :  898 ( 295   ~; 369   |; 174   &)
%                                         (   0 <=>;  60  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  18 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :  282 (   2 sgn; 197   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).

fof(f24,axiom,
    ! [X3] :
      ( ~ s3(X3)
      | ~ s1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep6) ).

fof(f26,axiom,
    ! [X3] :
      ( ! [X4] :
          ( ~ gt(X3,X4)
         => conditionnormo(X4) )
     => ( ( ! [X4] :
              ( gt(X3,X4)
             => conditionhyper(X4) )
          & bcapacityex(X3)
          & ! [X4] :
              ( ~ gt(X3,X4)
             => uptakepg(X4) )
          & ! [X4] :
              ( ~ gt(X3,X4)
             => uptakelg(X4) ) )
        | ( ! [X4] :
              ( gt(X3,X4)
             => conditionhyper(X4) )
          & ! [X4] :
              ( ~ gt(X3,X4)
             => bsecretioni(X4) )
          & bcapacityne(X3)
          & ( ! [X4] :
                ( ~ gt(X3,X4)
               => uptakepg(X4) )
            | ! [X4] :
                ( ~ gt(X3,X4)
               => ~ releaselg(X4) ) ) )
        | ( ! [X4] :
              ( gt(X3,X4)
             => conditionhyper(X4) )
          & ~ qilt27(X3)
          & bcapacitysn(X3)
          & ! [X4] :
              ( ~ gt(X3,X4)
             => ~ releaselg(X4) ) )
        | ( ! [X4] :
              ( gt(X3,X4)
             => conditionhyper(X4) )
          & qilt27(X3)
          & bcapacitysn(X3)
          & ! [X4] :
              ( ~ gt(X3,X4)
             => bsecretioni(X4) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',normo) ).

fof(f33,axiom,
    ! [X3] :
      ( drugi(X3)
     => s3(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',insulincomp) ).

fof(f34,axiom,
    ! [X3] :
      ( ( ! [X4] :
            ( ~ gt(X3,X4)
           => uptakepg(X4) )
        | ! [X4] :
            ( ~ gt(X3,X4)
           => uptakelg(X4) ) )
     => ! [X4] :
          ( ~ gt(X3,X4)
         => drugi(X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',insulin_completion) ).

fof(f35,axiom,
    ! [X3,X4] :
      ( ~ gt(X3,X4)
     => ( ~ releaselg(X4)
       => uptakelg(X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',uptake_completion) ).

fof(f39,axiom,
    ! [X3] :
      ( ( ~ ! [X4] :
              ( ~ gt(X3,X4)
             => conditionnormo(X4) )
        & s1(X3) )
     => ? [X4] :
          ( ( bcapacityex(X4)
            | bcapacityne(X4) )
          & ! [X5] :
              ( gt(X4,X5)
             => conditionhyper(X5) )
          & s2(X4)
          & ~ gt(X3,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_ax2) ).

fof(f41,conjecture,
    ( ( ~ qilt27(n0)
      & ~ bcapacitysn(n0)
      & ! [X3] :
          ( gt(n0,X3)
         => conditionhyper(X3) )
      & s1(n0) )
   => ? [X3] :
        ( ( bcapacityex(X3)
          | bcapacityne(X3) )
        & ! [X4] :
            ( gt(X3,X4)
           => conditionhyper(X4) )
        & s2(X3)
        & ~ gt(n0,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transs1s2_qige27) ).

fof(f42,negated_conjecture,
    ~ ( ( ~ qilt27(n0)
        & ~ bcapacitysn(n0)
        & ! [X3] :
            ( gt(n0,X3)
           => conditionhyper(X3) )
        & s1(n0) )
     => ? [X3] :
          ( ( bcapacityex(X3)
            | bcapacityne(X3) )
          & ! [X4] :
              ( gt(X3,X4)
             => conditionhyper(X4) )
          & s2(X3)
          & ~ gt(n0,X3) ) ),
    inference(negated_conjecture,[],[f41]) ).

fof(f64,plain,
    ! [X0] :
      ( ~ s3(X0)
      | ~ s1(X0) ),
    inference(rectify,[],[f24]) ).

fof(f66,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => conditionnormo(X1) )
     => ( ( ! [X2] :
              ( gt(X0,X2)
             => conditionhyper(X2) )
          & bcapacityex(X0)
          & ! [X3] :
              ( ~ gt(X0,X3)
             => uptakepg(X3) )
          & ! [X4] :
              ( ~ gt(X0,X4)
             => uptakelg(X4) ) )
        | ( ! [X5] :
              ( gt(X0,X5)
             => conditionhyper(X5) )
          & ! [X6] :
              ( ~ gt(X0,X6)
             => bsecretioni(X6) )
          & bcapacityne(X0)
          & ( ! [X7] :
                ( ~ gt(X0,X7)
               => uptakepg(X7) )
            | ! [X8] :
                ( ~ gt(X0,X8)
               => ~ releaselg(X8) ) ) )
        | ( ! [X9] :
              ( gt(X0,X9)
             => conditionhyper(X9) )
          & ~ qilt27(X0)
          & bcapacitysn(X0)
          & ! [X10] :
              ( ~ gt(X0,X10)
             => ~ releaselg(X10) ) )
        | ( ! [X11] :
              ( gt(X0,X11)
             => conditionhyper(X11) )
          & qilt27(X0)
          & bcapacitysn(X0)
          & ! [X12] :
              ( ~ gt(X0,X12)
             => bsecretioni(X12) ) ) ) ),
    inference(rectify,[],[f26]) ).

fof(f73,plain,
    ! [X0] :
      ( drugi(X0)
     => s3(X0) ),
    inference(rectify,[],[f33]) ).

fof(f74,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ gt(X0,X1)
           => uptakepg(X1) )
        | ! [X2] :
            ( ~ gt(X0,X2)
           => uptakelg(X2) ) )
     => ! [X3] :
          ( ~ gt(X0,X3)
         => drugi(X3) ) ),
    inference(rectify,[],[f34]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
     => ( ~ releaselg(X1)
       => uptakelg(X1) ) ),
    inference(rectify,[],[f35]) ).

fof(f79,plain,
    ! [X0] :
      ( ( ~ ! [X1] :
              ( ~ gt(X0,X1)
             => conditionnormo(X1) )
        & s1(X0) )
     => ? [X2] :
          ( ( bcapacityex(X2)
            | bcapacityne(X2) )
          & ! [X3] :
              ( gt(X2,X3)
             => conditionhyper(X3) )
          & s2(X2)
          & ~ gt(X0,X2) ) ),
    inference(rectify,[],[f39]) ).

fof(f81,plain,
    ~ ( ( ~ qilt27(n0)
        & ~ bcapacitysn(n0)
        & ! [X0] :
            ( gt(n0,X0)
           => conditionhyper(X0) )
        & s1(n0) )
     => ? [X1] :
          ( ( bcapacityex(X1)
            | bcapacityne(X1) )
          & ! [X2] :
              ( gt(X1,X2)
             => conditionhyper(X2) )
          & s2(X1)
          & ~ gt(n0,X1) ) ),
    inference(rectify,[],[f42]) ).

fof(f99,plain,
    ! [X0] :
      ( ( ! [X2] :
            ( conditionhyper(X2)
            | ~ gt(X0,X2) )
        & bcapacityex(X0)
        & ! [X3] :
            ( uptakepg(X3)
            | gt(X0,X3) )
        & ! [X4] :
            ( uptakelg(X4)
            | gt(X0,X4) ) )
      | ( ! [X5] :
            ( conditionhyper(X5)
            | ~ gt(X0,X5) )
        & ! [X6] :
            ( bsecretioni(X6)
            | gt(X0,X6) )
        & bcapacityne(X0)
        & ( ! [X7] :
              ( uptakepg(X7)
              | gt(X0,X7) )
          | ! [X8] :
              ( ~ releaselg(X8)
              | gt(X0,X8) ) ) )
      | ( ! [X9] :
            ( conditionhyper(X9)
            | ~ gt(X0,X9) )
        & ~ qilt27(X0)
        & bcapacitysn(X0)
        & ! [X10] :
            ( ~ releaselg(X10)
            | gt(X0,X10) ) )
      | ( ! [X11] :
            ( conditionhyper(X11)
            | ~ gt(X0,X11) )
        & qilt27(X0)
        & bcapacitysn(X0)
        & ! [X12] :
            ( bsecretioni(X12)
            | gt(X0,X12) ) )
      | ? [X1] :
          ( ~ conditionnormo(X1)
          & ~ gt(X0,X1) ) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f100,plain,
    ! [X0] :
      ( ( ! [X2] :
            ( conditionhyper(X2)
            | ~ gt(X0,X2) )
        & bcapacityex(X0)
        & ! [X3] :
            ( uptakepg(X3)
            | gt(X0,X3) )
        & ! [X4] :
            ( uptakelg(X4)
            | gt(X0,X4) ) )
      | ( ! [X5] :
            ( conditionhyper(X5)
            | ~ gt(X0,X5) )
        & ! [X6] :
            ( bsecretioni(X6)
            | gt(X0,X6) )
        & bcapacityne(X0)
        & ( ! [X7] :
              ( uptakepg(X7)
              | gt(X0,X7) )
          | ! [X8] :
              ( ~ releaselg(X8)
              | gt(X0,X8) ) ) )
      | ( ! [X9] :
            ( conditionhyper(X9)
            | ~ gt(X0,X9) )
        & ~ qilt27(X0)
        & bcapacitysn(X0)
        & ! [X10] :
            ( ~ releaselg(X10)
            | gt(X0,X10) ) )
      | ( ! [X11] :
            ( conditionhyper(X11)
            | ~ gt(X0,X11) )
        & qilt27(X0)
        & bcapacitysn(X0)
        & ! [X12] :
            ( bsecretioni(X12)
            | gt(X0,X12) ) )
      | ? [X1] :
          ( ~ conditionnormo(X1)
          & ~ gt(X0,X1) ) ),
    inference(flattening,[],[f99]) ).

fof(f112,plain,
    ! [X0] :
      ( s3(X0)
      | ~ drugi(X0) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f113,plain,
    ! [X0] :
      ( ! [X3] :
          ( drugi(X3)
          | gt(X0,X3) )
      | ( ? [X1] :
            ( ~ uptakepg(X1)
            & ~ gt(X0,X1) )
        & ? [X2] :
            ( ~ uptakelg(X2)
            & ~ gt(X0,X2) ) ) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( uptakelg(X1)
      | releaselg(X1)
      | gt(X0,X1) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( uptakelg(X1)
      | releaselg(X1)
      | gt(X0,X1) ),
    inference(flattening,[],[f114]) ).

fof(f120,plain,
    ! [X0] :
      ( ? [X2] :
          ( ( bcapacityex(X2)
            | bcapacityne(X2) )
          & ! [X3] :
              ( conditionhyper(X3)
              | ~ gt(X2,X3) )
          & s2(X2)
          & ~ gt(X0,X2) )
      | ! [X1] :
          ( conditionnormo(X1)
          | gt(X0,X1) )
      | ~ s1(X0) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f121,plain,
    ! [X0] :
      ( ? [X2] :
          ( ( bcapacityex(X2)
            | bcapacityne(X2) )
          & ! [X3] :
              ( conditionhyper(X3)
              | ~ gt(X2,X3) )
          & s2(X2)
          & ~ gt(X0,X2) )
      | ! [X1] :
          ( conditionnormo(X1)
          | gt(X0,X1) )
      | ~ s1(X0) ),
    inference(flattening,[],[f120]) ).

fof(f124,plain,
    ( ! [X1] :
        ( ( ~ bcapacityex(X1)
          & ~ bcapacityne(X1) )
        | ? [X2] :
            ( ~ conditionhyper(X2)
            & gt(X1,X2) )
        | ~ s2(X1)
        | gt(n0,X1) )
    & ~ qilt27(n0)
    & ~ bcapacitysn(n0)
    & ! [X0] :
        ( conditionhyper(X0)
        | ~ gt(n0,X0) )
    & s1(n0) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f125,plain,
    ( ! [X1] :
        ( ( ~ bcapacityex(X1)
          & ~ bcapacityne(X1) )
        | ? [X2] :
            ( ~ conditionhyper(X2)
            & gt(X1,X2) )
        | ~ s2(X1)
        | gt(n0,X1) )
    & ~ qilt27(n0)
    & ~ bcapacitysn(n0)
    & ! [X0] :
        ( conditionhyper(X0)
        | ~ gt(n0,X0) )
    & s1(n0) ),
    inference(flattening,[],[f124]) ).

fof(f128,plain,
    ! [X0] :
      ( ( ! [X11] :
            ( conditionhyper(X11)
            | ~ gt(X0,X11) )
        & qilt27(X0)
        & bcapacitysn(X0)
        & ! [X12] :
            ( bsecretioni(X12)
            | gt(X0,X12) ) )
      | ~ sP1(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f129,plain,
    ! [X0] :
      ( ( ! [X9] :
            ( conditionhyper(X9)
            | ~ gt(X0,X9) )
        & ~ qilt27(X0)
        & bcapacitysn(X0)
        & ! [X10] :
            ( ~ releaselg(X10)
            | gt(X0,X10) ) )
      | ~ sP2(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f130,plain,
    ! [X0] :
      ( ( ! [X5] :
            ( conditionhyper(X5)
            | ~ gt(X0,X5) )
        & ! [X6] :
            ( bsecretioni(X6)
            | gt(X0,X6) )
        & bcapacityne(X0)
        & ( ! [X7] :
              ( uptakepg(X7)
              | gt(X0,X7) )
          | ! [X8] :
              ( ~ releaselg(X8)
              | gt(X0,X8) ) ) )
      | ~ sP3(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f131,plain,
    ! [X0] :
      ( ( ! [X2] :
            ( conditionhyper(X2)
            | ~ gt(X0,X2) )
        & bcapacityex(X0)
        & ! [X3] :
            ( uptakepg(X3)
            | gt(X0,X3) )
        & ! [X4] :
            ( uptakelg(X4)
            | gt(X0,X4) ) )
      | sP3(X0)
      | sP2(X0)
      | sP1(X0)
      | ? [X1] :
          ( ~ conditionnormo(X1)
          & ~ gt(X0,X1) ) ),
    inference(definition_folding,[],[f100,f130,f129,f128]) ).

fof(f163,plain,
    ! [X0] :
      ( ( ! [X5] :
            ( conditionhyper(X5)
            | ~ gt(X0,X5) )
        & ! [X6] :
            ( bsecretioni(X6)
            | gt(X0,X6) )
        & bcapacityne(X0)
        & ( ! [X7] :
              ( uptakepg(X7)
              | gt(X0,X7) )
          | ! [X8] :
              ( ~ releaselg(X8)
              | gt(X0,X8) ) ) )
      | ~ sP3(X0) ),
    inference(nnf_transformation,[],[f130]) ).

fof(f164,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( conditionhyper(X1)
            | ~ gt(X0,X1) )
        & ! [X2] :
            ( bsecretioni(X2)
            | gt(X0,X2) )
        & bcapacityne(X0)
        & ( ! [X3] :
              ( uptakepg(X3)
              | gt(X0,X3) )
          | ! [X4] :
              ( ~ releaselg(X4)
              | gt(X0,X4) ) ) )
      | ~ sP3(X0) ),
    inference(rectify,[],[f163]) ).

fof(f165,plain,
    ! [X0] :
      ( ( ! [X9] :
            ( conditionhyper(X9)
            | ~ gt(X0,X9) )
        & ~ qilt27(X0)
        & bcapacitysn(X0)
        & ! [X10] :
            ( ~ releaselg(X10)
            | gt(X0,X10) ) )
      | ~ sP2(X0) ),
    inference(nnf_transformation,[],[f129]) ).

fof(f166,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( conditionhyper(X1)
            | ~ gt(X0,X1) )
        & ~ qilt27(X0)
        & bcapacitysn(X0)
        & ! [X2] :
            ( ~ releaselg(X2)
            | gt(X0,X2) ) )
      | ~ sP2(X0) ),
    inference(rectify,[],[f165]) ).

fof(f167,plain,
    ! [X0] :
      ( ( ! [X11] :
            ( conditionhyper(X11)
            | ~ gt(X0,X11) )
        & qilt27(X0)
        & bcapacitysn(X0)
        & ! [X12] :
            ( bsecretioni(X12)
            | gt(X0,X12) ) )
      | ~ sP1(X0) ),
    inference(nnf_transformation,[],[f128]) ).

fof(f168,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( conditionhyper(X1)
            | ~ gt(X0,X1) )
        & qilt27(X0)
        & bcapacitysn(X0)
        & ! [X2] :
            ( bsecretioni(X2)
            | gt(X0,X2) ) )
      | ~ sP1(X0) ),
    inference(rectify,[],[f167]) ).

fof(f169,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( conditionhyper(X1)
            | ~ gt(X0,X1) )
        & bcapacityex(X0)
        & ! [X2] :
            ( uptakepg(X2)
            | gt(X0,X2) )
        & ! [X3] :
            ( uptakelg(X3)
            | gt(X0,X3) ) )
      | sP3(X0)
      | sP2(X0)
      | sP1(X0)
      | ? [X4] :
          ( ~ conditionnormo(X4)
          & ~ gt(X0,X4) ) ),
    inference(rectify,[],[f131]) ).

fof(f170,plain,
    ! [X0] :
      ( ? [X4] :
          ( ~ conditionnormo(X4)
          & ~ gt(X0,X4) )
     => ( ~ conditionnormo(sK18(X0))
        & ~ gt(X0,sK18(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f171,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( conditionhyper(X1)
            | ~ gt(X0,X1) )
        & bcapacityex(X0)
        & ! [X2] :
            ( uptakepg(X2)
            | gt(X0,X2) )
        & ! [X3] :
            ( uptakelg(X3)
            | gt(X0,X3) ) )
      | sP3(X0)
      | sP2(X0)
      | sP1(X0)
      | ( ~ conditionnormo(sK18(X0))
        & ~ gt(X0,sK18(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f169,f170]) ).

fof(f172,plain,
    ! [X0] :
      ( ! [X1] :
          ( drugi(X1)
          | gt(X0,X1) )
      | ( ? [X2] :
            ( ~ uptakepg(X2)
            & ~ gt(X0,X2) )
        & ? [X3] :
            ( ~ uptakelg(X3)
            & ~ gt(X0,X3) ) ) ),
    inference(rectify,[],[f113]) ).

fof(f173,plain,
    ! [X0] :
      ( ? [X2] :
          ( ~ uptakepg(X2)
          & ~ gt(X0,X2) )
     => ( ~ uptakepg(sK19(X0))
        & ~ gt(X0,sK19(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f174,plain,
    ! [X0] :
      ( ? [X3] :
          ( ~ uptakelg(X3)
          & ~ gt(X0,X3) )
     => ( ~ uptakelg(sK20(X0))
        & ~ gt(X0,sK20(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f175,plain,
    ! [X0] :
      ( ! [X1] :
          ( drugi(X1)
          | gt(X0,X1) )
      | ( ~ uptakepg(sK19(X0))
        & ~ gt(X0,sK19(X0))
        & ~ uptakelg(sK20(X0))
        & ~ gt(X0,sK20(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f172,f174,f173]) ).

fof(f185,plain,
    ! [X0] :
      ( ? [X1] :
          ( ( bcapacityex(X1)
            | bcapacityne(X1) )
          & ! [X2] :
              ( conditionhyper(X2)
              | ~ gt(X1,X2) )
          & s2(X1)
          & ~ gt(X0,X1) )
      | ! [X3] :
          ( conditionnormo(X3)
          | gt(X0,X3) )
      | ~ s1(X0) ),
    inference(rectify,[],[f121]) ).

fof(f186,plain,
    ! [X0] :
      ( ? [X1] :
          ( ( bcapacityex(X1)
            | bcapacityne(X1) )
          & ! [X2] :
              ( conditionhyper(X2)
              | ~ gt(X1,X2) )
          & s2(X1)
          & ~ gt(X0,X1) )
     => ( ( bcapacityex(sK24(X0))
          | bcapacityne(sK24(X0)) )
        & ! [X2] :
            ( conditionhyper(X2)
            | ~ gt(sK24(X0),X2) )
        & s2(sK24(X0))
        & ~ gt(X0,sK24(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f187,plain,
    ! [X0] :
      ( ( ( bcapacityex(sK24(X0))
          | bcapacityne(sK24(X0)) )
        & ! [X2] :
            ( conditionhyper(X2)
            | ~ gt(sK24(X0),X2) )
        & s2(sK24(X0))
        & ~ gt(X0,sK24(X0)) )
      | ! [X3] :
          ( conditionnormo(X3)
          | gt(X0,X3) )
      | ~ s1(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f185,f186]) ).

fof(f191,plain,
    ( ! [X0] :
        ( ( ~ bcapacityex(X0)
          & ~ bcapacityne(X0) )
        | ? [X1] :
            ( ~ conditionhyper(X1)
            & gt(X0,X1) )
        | ~ s2(X0)
        | gt(n0,X0) )
    & ~ qilt27(n0)
    & ~ bcapacitysn(n0)
    & ! [X2] :
        ( conditionhyper(X2)
        | ~ gt(n0,X2) )
    & s1(n0) ),
    inference(rectify,[],[f125]) ).

fof(f192,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ conditionhyper(X1)
          & gt(X0,X1) )
     => ( ~ conditionhyper(sK26(X0))
        & gt(X0,sK26(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f193,plain,
    ( ! [X0] :
        ( ( ~ bcapacityex(X0)
          & ~ bcapacityne(X0) )
        | ( ~ conditionhyper(sK26(X0))
          & gt(X0,sK26(X0)) )
        | ~ s2(X0)
        | gt(n0,X0) )
    & ~ qilt27(n0)
    & ~ bcapacitysn(n0)
    & ! [X2] :
        ( conditionhyper(X2)
        | ~ gt(n0,X2) )
    & s1(n0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f191,f192]) ).

fof(f194,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f242,plain,
    ! [X0] :
      ( ~ s3(X0)
      | ~ s1(X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f244,plain,
    ! [X3,X0,X4] :
      ( uptakepg(X3)
      | gt(X0,X3)
      | ~ releaselg(X4)
      | gt(X0,X4)
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f249,plain,
    ! [X0] :
      ( bcapacitysn(X0)
      | ~ sP2(X0) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f253,plain,
    ! [X0] :
      ( bcapacitysn(X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f256,plain,
    ! [X3,X0] :
      ( uptakelg(X3)
      | gt(X0,X3)
      | sP3(X0)
      | sP2(X0)
      | sP1(X0)
      | ~ gt(X0,sK18(X0)) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f257,plain,
    ! [X3,X0] :
      ( uptakelg(X3)
      | gt(X0,X3)
      | sP3(X0)
      | sP2(X0)
      | sP1(X0)
      | ~ conditionnormo(sK18(X0)) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f273,plain,
    ! [X0] :
      ( s3(X0)
      | ~ drugi(X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f274,plain,
    ! [X0,X1] :
      ( drugi(X1)
      | gt(X0,X1)
      | ~ gt(X0,sK20(X0)) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f275,plain,
    ! [X0,X1] :
      ( drugi(X1)
      | gt(X0,X1)
      | ~ uptakelg(sK20(X0)) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f276,plain,
    ! [X0,X1] :
      ( drugi(X1)
      | gt(X0,X1)
      | ~ gt(X0,sK19(X0)) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f277,plain,
    ! [X0,X1] :
      ( drugi(X1)
      | gt(X0,X1)
      | ~ uptakepg(sK19(X0)) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f278,plain,
    ! [X0,X1] :
      ( uptakelg(X1)
      | releaselg(X1)
      | gt(X0,X1) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f288,plain,
    ! [X3,X0] :
      ( ~ gt(X0,sK24(X0))
      | conditionnormo(X3)
      | gt(X0,X3)
      | ~ s1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f289,plain,
    ! [X3,X0] :
      ( s2(sK24(X0))
      | conditionnormo(X3)
      | gt(X0,X3)
      | ~ s1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f290,plain,
    ! [X2,X3,X0] :
      ( conditionhyper(X2)
      | ~ gt(sK24(X0),X2)
      | conditionnormo(X3)
      | gt(X0,X3)
      | ~ s1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f291,plain,
    ! [X3,X0] :
      ( bcapacityex(sK24(X0))
      | bcapacityne(sK24(X0))
      | conditionnormo(X3)
      | gt(X0,X3)
      | ~ s1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f296,plain,
    s1(n0),
    inference(cnf_transformation,[],[f193]) ).

fof(f298,plain,
    ~ bcapacitysn(n0),
    inference(cnf_transformation,[],[f193]) ).

fof(f300,plain,
    ! [X0] :
      ( ~ bcapacityne(X0)
      | gt(X0,sK26(X0))
      | ~ s2(X0)
      | gt(n0,X0) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f301,plain,
    ! [X0] :
      ( ~ bcapacityne(X0)
      | ~ conditionhyper(sK26(X0))
      | ~ s2(X0)
      | gt(n0,X0) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f302,plain,
    ! [X0] :
      ( ~ bcapacityex(X0)
      | gt(X0,sK26(X0))
      | ~ s2(X0)
      | gt(n0,X0) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f303,plain,
    ! [X0] :
      ( ~ bcapacityex(X0)
      | ~ conditionhyper(sK26(X0))
      | ~ s2(X0)
      | gt(n0,X0) ),
    inference(cnf_transformation,[],[f193]) ).

cnf(c_49,plain,
    ~ gt(X0,X0),
    inference(cnf_transformation,[],[f194]) ).

cnf(c_97,plain,
    ( ~ s3(X0)
    | ~ s1(X0) ),
    inference(cnf_transformation,[],[f242]) ).

cnf(c_102,plain,
    ( ~ releaselg(X0)
    | ~ sP3(X1)
    | gt(X1,X0)
    | gt(X1,X2)
    | uptakepg(X2) ),
    inference(cnf_transformation,[],[f244]) ).

cnf(c_105,plain,
    ( ~ sP2(X0)
    | bcapacitysn(X0) ),
    inference(cnf_transformation,[],[f249]) ).

cnf(c_109,plain,
    ( ~ sP1(X0)
    | bcapacitysn(X0) ),
    inference(cnf_transformation,[],[f253]) ).

cnf(c_117,plain,
    ( ~ conditionnormo(sK18(X0))
    | gt(X0,X1)
    | uptakelg(X1)
    | sP3(X0)
    | sP2(X0)
    | sP1(X0) ),
    inference(cnf_transformation,[],[f257]) ).

cnf(c_118,plain,
    ( ~ gt(X0,sK18(X0))
    | gt(X0,X1)
    | uptakelg(X1)
    | sP3(X0)
    | sP2(X0)
    | sP1(X0) ),
    inference(cnf_transformation,[],[f256]) ).

cnf(c_128,plain,
    ( ~ drugi(X0)
    | s3(X0) ),
    inference(cnf_transformation,[],[f273]) ).

cnf(c_129,plain,
    ( ~ uptakepg(sK19(X0))
    | gt(X0,X1)
    | drugi(X1) ),
    inference(cnf_transformation,[],[f277]) ).

cnf(c_130,plain,
    ( ~ gt(X0,sK19(X0))
    | gt(X0,X1)
    | drugi(X1) ),
    inference(cnf_transformation,[],[f276]) ).

cnf(c_131,plain,
    ( ~ uptakelg(sK20(X0))
    | gt(X0,X1)
    | drugi(X1) ),
    inference(cnf_transformation,[],[f275]) ).

cnf(c_132,plain,
    ( ~ gt(X0,sK20(X0))
    | gt(X0,X1)
    | drugi(X1) ),
    inference(cnf_transformation,[],[f274]) ).

cnf(c_133,plain,
    ( gt(X0,X1)
    | uptakelg(X1)
    | releaselg(X1) ),
    inference(cnf_transformation,[],[f278]) ).

cnf(c_143,plain,
    ( ~ s1(X0)
    | gt(X0,X1)
    | bcapacityex(sK24(X0))
    | bcapacityne(sK24(X0))
    | conditionnormo(X1) ),
    inference(cnf_transformation,[],[f291]) ).

cnf(c_144,plain,
    ( ~ gt(sK24(X0),X1)
    | ~ s1(X0)
    | gt(X0,X2)
    | conditionnormo(X2)
    | conditionhyper(X1) ),
    inference(cnf_transformation,[],[f290]) ).

cnf(c_145,plain,
    ( ~ s1(X0)
    | gt(X0,X1)
    | s2(sK24(X0))
    | conditionnormo(X1) ),
    inference(cnf_transformation,[],[f289]) ).

cnf(c_146,plain,
    ( ~ gt(X0,sK24(X0))
    | ~ s1(X0)
    | gt(X0,X1)
    | conditionnormo(X1) ),
    inference(cnf_transformation,[],[f288]) ).

cnf(c_151,negated_conjecture,
    ( ~ conditionhyper(sK26(X0))
    | ~ bcapacityex(X0)
    | ~ s2(X0)
    | gt(n0,X0) ),
    inference(cnf_transformation,[],[f303]) ).

cnf(c_152,negated_conjecture,
    ( ~ bcapacityex(X0)
    | ~ s2(X0)
    | gt(X0,sK26(X0))
    | gt(n0,X0) ),
    inference(cnf_transformation,[],[f302]) ).

cnf(c_153,negated_conjecture,
    ( ~ conditionhyper(sK26(X0))
    | ~ bcapacityne(X0)
    | ~ s2(X0)
    | gt(n0,X0) ),
    inference(cnf_transformation,[],[f301]) ).

cnf(c_154,negated_conjecture,
    ( ~ bcapacityne(X0)
    | ~ s2(X0)
    | gt(X0,sK26(X0))
    | gt(n0,X0) ),
    inference(cnf_transformation,[],[f300]) ).

cnf(c_156,negated_conjecture,
    ~ bcapacitysn(n0),
    inference(cnf_transformation,[],[f298]) ).

cnf(c_158,negated_conjecture,
    s1(n0),
    inference(cnf_transformation,[],[f296]) ).

cnf(c_159,plain,
    ~ gt(n0,n0),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_160,plain,
    ( ~ drugi(n0)
    | s3(n0) ),
    inference(instantiation,[status(thm)],[c_128]) ).

cnf(c_164,plain,
    ( ~ sP1(n0)
    | bcapacitysn(n0) ),
    inference(instantiation,[status(thm)],[c_109]) ).

cnf(c_166,plain,
    ( ~ sP2(n0)
    | bcapacitysn(n0) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_169,plain,
    ( ~ s3(n0)
    | ~ s1(n0) ),
    inference(instantiation,[status(thm)],[c_97]) ).

cnf(c_192,plain,
    ( ~ uptakelg(sK20(n0))
    | gt(n0,n0)
    | drugi(n0) ),
    inference(instantiation,[status(thm)],[c_131]) ).

cnf(c_193,plain,
    ( ~ uptakepg(sK19(n0))
    | gt(n0,n0)
    | drugi(n0) ),
    inference(instantiation,[status(thm)],[c_129]) ).

cnf(c_200,plain,
    ( ~ gt(n0,sK20(n0))
    | gt(n0,n0)
    | drugi(n0) ),
    inference(instantiation,[status(thm)],[c_132]) ).

cnf(c_201,plain,
    ( ~ gt(n0,sK19(n0))
    | gt(n0,n0)
    | drugi(n0) ),
    inference(instantiation,[status(thm)],[c_130]) ).

cnf(c_7174,plain,
    ( ~ gt(X0,sK18(X0))
    | gt(X0,sK20(X1))
    | uptakelg(sK20(X1))
    | sP3(X0)
    | sP2(X0)
    | sP1(X0) ),
    inference(instantiation,[status(thm)],[c_118]) ).

cnf(c_7175,plain,
    ( ~ conditionnormo(sK18(X0))
    | gt(X0,sK20(X1))
    | uptakelg(sK20(X1))
    | sP3(X0)
    | sP2(X0)
    | sP1(X0) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_7180,plain,
    ( ~ conditionnormo(sK18(n0))
    | gt(n0,sK20(n0))
    | uptakelg(sK20(n0))
    | sP3(n0)
    | sP2(n0)
    | sP1(n0) ),
    inference(instantiation,[status(thm)],[c_7175]) ).

cnf(c_7181,plain,
    ( ~ gt(n0,sK18(n0))
    | gt(n0,sK20(n0))
    | uptakelg(sK20(n0))
    | sP3(n0)
    | sP2(n0)
    | sP1(n0) ),
    inference(instantiation,[status(thm)],[c_7174]) ).

cnf(c_7182,plain,
    ( ~ s1(X0)
    | gt(X0,sK18(X1))
    | bcapacityex(sK24(X0))
    | bcapacityne(sK24(X0))
    | conditionnormo(sK18(X1)) ),
    inference(instantiation,[status(thm)],[c_143]) ).

cnf(c_7183,plain,
    ( ~ s1(n0)
    | gt(n0,sK18(n0))
    | bcapacityex(sK24(n0))
    | bcapacityne(sK24(n0))
    | conditionnormo(sK18(n0)) ),
    inference(instantiation,[status(thm)],[c_7182]) ).

cnf(c_7186,plain,
    ( gt(X0,sK20(X1))
    | uptakelg(sK20(X1))
    | releaselg(sK20(X1)) ),
    inference(instantiation,[status(thm)],[c_133]) ).

cnf(c_7187,plain,
    ( gt(n0,sK20(n0))
    | uptakelg(sK20(n0))
    | releaselg(sK20(n0)) ),
    inference(instantiation,[status(thm)],[c_7186]) ).

cnf(c_7190,plain,
    ( ~ releaselg(sK20(X0))
    | ~ sP3(X1)
    | gt(X1,sK20(X0))
    | gt(X1,X2)
    | uptakepg(X2) ),
    inference(instantiation,[status(thm)],[c_102]) ).

cnf(c_7217,plain,
    ( ~ gt(X0,sK24(X0))
    | ~ s1(X0)
    | gt(X0,sK18(X1))
    | conditionnormo(sK18(X1)) ),
    inference(instantiation,[status(thm)],[c_146]) ).

cnf(c_7218,plain,
    ( ~ s1(X0)
    | gt(X0,sK18(X1))
    | conditionnormo(sK18(X1))
    | s2(sK24(X0)) ),
    inference(instantiation,[status(thm)],[c_145]) ).

cnf(c_7232,plain,
    ( ~ s1(n0)
    | gt(n0,sK18(n0))
    | conditionnormo(sK18(n0))
    | s2(sK24(n0)) ),
    inference(instantiation,[status(thm)],[c_7218]) ).

cnf(c_7233,plain,
    ( ~ gt(n0,sK24(n0))
    | ~ s1(n0)
    | gt(n0,sK18(n0))
    | conditionnormo(sK18(n0)) ),
    inference(instantiation,[status(thm)],[c_7217]) ).

cnf(c_7286,plain,
    ( ~ bcapacityne(sK24(X0))
    | ~ s2(sK24(X0))
    | gt(sK24(X0),sK26(sK24(X0)))
    | gt(n0,sK24(X0)) ),
    inference(instantiation,[status(thm)],[c_154]) ).

cnf(c_7287,plain,
    ( ~ conditionhyper(sK26(sK24(X0)))
    | ~ bcapacityne(sK24(X0))
    | ~ s2(sK24(X0))
    | gt(n0,sK24(X0)) ),
    inference(instantiation,[status(thm)],[c_153]) ).

cnf(c_7288,plain,
    ( ~ bcapacityex(sK24(X0))
    | ~ s2(sK24(X0))
    | gt(sK24(X0),sK26(sK24(X0)))
    | gt(n0,sK24(X0)) ),
    inference(instantiation,[status(thm)],[c_152]) ).

cnf(c_7289,plain,
    ( ~ conditionhyper(sK26(sK24(X0)))
    | ~ bcapacityex(sK24(X0))
    | ~ s2(sK24(X0))
    | gt(n0,sK24(X0)) ),
    inference(instantiation,[status(thm)],[c_151]) ).

cnf(c_7290,plain,
    ( ~ conditionhyper(sK26(sK24(n0)))
    | ~ bcapacityex(sK24(n0))
    | ~ s2(sK24(n0))
    | gt(n0,sK24(n0)) ),
    inference(instantiation,[status(thm)],[c_7289]) ).

cnf(c_7291,plain,
    ( ~ bcapacityex(sK24(n0))
    | ~ s2(sK24(n0))
    | gt(sK24(n0),sK26(sK24(n0)))
    | gt(n0,sK24(n0)) ),
    inference(instantiation,[status(thm)],[c_7288]) ).

cnf(c_7292,plain,
    ( ~ conditionhyper(sK26(sK24(n0)))
    | ~ bcapacityne(sK24(n0))
    | ~ s2(sK24(n0))
    | gt(n0,sK24(n0)) ),
    inference(instantiation,[status(thm)],[c_7287]) ).

cnf(c_7293,plain,
    ( ~ bcapacityne(sK24(n0))
    | ~ s2(sK24(n0))
    | gt(sK24(n0),sK26(sK24(n0)))
    | gt(n0,sK24(n0)) ),
    inference(instantiation,[status(thm)],[c_7286]) ).

cnf(c_7367,plain,
    ( ~ releaselg(sK20(X0))
    | ~ sP3(X1)
    | gt(X1,sK19(X2))
    | gt(X1,sK20(X0))
    | uptakepg(sK19(X2)) ),
    inference(instantiation,[status(thm)],[c_7190]) ).

cnf(c_7368,plain,
    ( ~ releaselg(sK20(n0))
    | ~ sP3(n0)
    | gt(n0,sK19(n0))
    | gt(n0,sK20(n0))
    | uptakepg(sK19(n0)) ),
    inference(instantiation,[status(thm)],[c_7367]) ).

cnf(c_7858,plain,
    ( ~ gt(sK24(X0),sK26(sK24(X0)))
    | ~ s1(X0)
    | conditionhyper(sK26(sK24(X0)))
    | gt(X0,X1)
    | conditionnormo(X1) ),
    inference(instantiation,[status(thm)],[c_144]) ).

cnf(c_7922,plain,
    ( ~ gt(sK24(X0),sK26(sK24(X0)))
    | ~ s1(X0)
    | gt(X0,sK18(X1))
    | conditionhyper(sK26(sK24(X0)))
    | conditionnormo(sK18(X1)) ),
    inference(instantiation,[status(thm)],[c_7858]) ).

cnf(c_7923,plain,
    ( ~ gt(sK24(n0),sK26(sK24(n0)))
    | ~ s1(n0)
    | gt(n0,sK18(n0))
    | conditionhyper(sK26(sK24(n0)))
    | conditionnormo(sK18(n0)) ),
    inference(instantiation,[status(thm)],[c_7922]) ).

cnf(c_7924,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_7923,c_7368,c_7293,c_7292,c_7291,c_7290,c_7233,c_7232,c_7187,c_7183,c_7181,c_7180,c_201,c_200,c_193,c_192,c_169,c_166,c_164,c_160,c_159,c_156,c_158]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MED009+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri Aug 25 07:39:02 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.94/1.16  % SZS status Started for theBenchmark.p
% 3.94/1.16  % SZS status Theorem for theBenchmark.p
% 3.94/1.16  
% 3.94/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.94/1.16  
% 3.94/1.16  ------  iProver source info
% 3.94/1.16  
% 3.94/1.16  git: date: 2023-05-31 18:12:56 +0000
% 3.94/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.94/1.16  git: non_committed_changes: false
% 3.94/1.16  git: last_make_outside_of_git: false
% 3.94/1.16  
% 3.94/1.16  ------ Parsing...
% 3.94/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.94/1.16  
% 3.94/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe_e 
% 3.94/1.16  
% 3.94/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.94/1.16  ------ Proving...
% 3.94/1.16  ------ Problem Properties 
% 3.94/1.16  
% 3.94/1.16  
% 3.94/1.16  clauses                                 106
% 3.94/1.16  conjectures                             8
% 3.94/1.16  EPR                                     41
% 3.94/1.16  Horn                                    47
% 3.94/1.16  unary                                   4
% 3.94/1.16  binary                                  26
% 3.94/1.16  lits                                    387
% 3.94/1.16  lits eq                                 0
% 3.94/1.16  fd_pure                                 0
% 3.94/1.16  fd_pseudo                               0
% 3.94/1.16  fd_cond                                 0
% 3.94/1.16  fd_pseudo_cond                          0
% 3.94/1.16  AC symbols                              0
% 3.94/1.16  
% 3.94/1.16  ------ Input Options Time Limit: Unbounded
% 3.94/1.16  
% 3.94/1.16  
% 3.94/1.16  ------ 
% 3.94/1.16  Current options:
% 3.94/1.16  ------ 
% 3.94/1.16  
% 3.94/1.16  
% 3.94/1.16  
% 3.94/1.16  
% 3.94/1.16  ------ Proving...
% 3.94/1.16  
% 3.94/1.16  
% 3.94/1.16  % SZS status Theorem for theBenchmark.p
% 3.94/1.16  
% 3.94/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.94/1.16  
% 3.94/1.17  
%------------------------------------------------------------------------------