TSTP Solution File: MED002+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : MED002+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 : Fri May  3 02:43:12 EDT 2024

% Result   : Theorem 3.28s 1.12s
% Output   : CNFRefutation 3.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  107 (   7 unt;   0 def)
%            Number of atoms       :  452 (   0 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :  575 ( 230   ~; 216   |;  86   &)
%                                         (   0 <=>;  43  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-1 aty)
%            Number of variables   :  175 (   0 sgn  99   !;  33   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X3] :
      ( ~ bcapacityex(X3)
      | ~ bcapacityne(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcapacity2) ).

fof(f13,axiom,
    ! [X3] :
      ( ( ~ bcapacityex(X3)
        & ! [X4] :
            ( ~ gt(X3,X4)
           => drugsu(X4) ) )
     => ! [X4] :
          ( ~ gt(X3,X4)
         => bsecretioni(X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sulfonylurea_effect) ).

fof(f14,axiom,
    ! [X3] :
      ( ! [X4] :
          ( ~ gt(X3,X4)
         => drugbg(X4) )
     => ! [X4] :
          ( ~ gt(X3,X4)
         => ~ releaselg(X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',biguanide_effect) ).

fof(f17,axiom,
    ! [X3] :
      ( ( ! [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)
         => conditionnormo(X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ne_cure) ).

fof(f19,conjecture,
    ( ( bcapacityne(n0)
      & ! [X3] :
          ( gt(n0,X3)
         => conditionhyper(X3) )
      & ! [X3] :
          ( ~ gt(n0,X3)
         => ( drugsu(X3)
            & drugbg(X3) ) ) )
   => ! [X3] :
        ( ~ gt(n0,X3)
       => conditionnormo(X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',treatmentne) ).

fof(f20,negated_conjecture,
    ~ ( ( bcapacityne(n0)
        & ! [X3] :
            ( gt(n0,X3)
           => conditionhyper(X3) )
        & ! [X3] :
            ( ~ gt(n0,X3)
           => ( drugsu(X3)
              & drugbg(X3) ) ) )
     => ! [X3] :
          ( ~ gt(n0,X3)
         => conditionnormo(X3) ) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f22,plain,
    ! [X0] :
      ( ~ bcapacityex(X0)
      | ~ bcapacityne(X0) ),
    inference(rectify,[],[f4]) ).

fof(f31,plain,
    ! [X0] :
      ( ( ~ bcapacityex(X0)
        & ! [X1] :
            ( ~ gt(X0,X1)
           => drugsu(X1) ) )
     => ! [X2] :
          ( ~ gt(X0,X2)
         => bsecretioni(X2) ) ),
    inference(rectify,[],[f13]) ).

fof(f32,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => drugbg(X1) )
     => ! [X2] :
          ( ~ gt(X0,X2)
         => ~ releaselg(X2) ) ),
    inference(rectify,[],[f14]) ).

fof(f35,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( gt(X0,X1)
           => conditionhyper(X1) )
        & ! [X2] :
            ( ~ gt(X0,X2)
           => bsecretioni(X2) )
        & bcapacityne(X0)
        & ( ! [X3] :
              ( ~ gt(X0,X3)
             => uptakepg(X3) )
          | ! [X4] :
              ( ~ gt(X0,X4)
             => ~ releaselg(X4) ) ) )
     => ! [X5] :
          ( ~ gt(X0,X5)
         => conditionnormo(X5) ) ),
    inference(rectify,[],[f17]) ).

fof(f37,plain,
    ~ ( ( bcapacityne(n0)
        & ! [X0] :
            ( gt(n0,X0)
           => conditionhyper(X0) )
        & ! [X1] :
            ( ~ gt(n0,X1)
           => ( drugsu(X1)
              & drugbg(X1) ) ) )
     => ! [X2] :
          ( ~ gt(n0,X2)
         => conditionnormo(X2) ) ),
    inference(rectify,[],[f20]) ).

fof(f44,plain,
    ! [X0] :
      ( ! [X2] :
          ( bsecretioni(X2)
          | gt(X0,X2) )
      | bcapacityex(X0)
      | ? [X1] :
          ( ~ drugsu(X1)
          & ~ gt(X0,X1) ) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f45,plain,
    ! [X0] :
      ( ! [X2] :
          ( bsecretioni(X2)
          | gt(X0,X2) )
      | bcapacityex(X0)
      | ? [X1] :
          ( ~ drugsu(X1)
          & ~ gt(X0,X1) ) ),
    inference(flattening,[],[f44]) ).

fof(f46,plain,
    ! [X0] :
      ( ! [X2] :
          ( ~ releaselg(X2)
          | gt(X0,X2) )
      | ? [X1] :
          ( ~ drugbg(X1)
          & ~ gt(X0,X1) ) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f51,plain,
    ! [X0] :
      ( ! [X5] :
          ( conditionnormo(X5)
          | gt(X0,X5) )
      | ? [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) ) ) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f52,plain,
    ! [X0] :
      ( ! [X5] :
          ( conditionnormo(X5)
          | gt(X0,X5) )
      | ? [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) ) ) ),
    inference(flattening,[],[f51]) ).

fof(f55,plain,
    ( ? [X2] :
        ( ~ conditionnormo(X2)
        & ~ gt(n0,X2) )
    & bcapacityne(n0)
    & ! [X0] :
        ( conditionhyper(X0)
        | ~ gt(n0,X0) )
    & ! [X1] :
        ( ( drugsu(X1)
          & drugbg(X1) )
        | gt(n0,X1) ) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f56,plain,
    ( ? [X2] :
        ( ~ conditionnormo(X2)
        & ~ gt(n0,X2) )
    & bcapacityne(n0)
    & ! [X0] :
        ( conditionhyper(X0)
        | ~ gt(n0,X0) )
    & ! [X1] :
        ( ( drugsu(X1)
          & drugbg(X1) )
        | gt(n0,X1) ) ),
    inference(flattening,[],[f55]) ).

fof(f57,plain,
    ! [X0] :
      ( ( ? [X3] :
            ( ~ uptakepg(X3)
            & ~ gt(X0,X3) )
        & ? [X4] :
            ( releaselg(X4)
            & ~ gt(X0,X4) ) )
      | ~ sP0(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f58,plain,
    ! [X0] :
      ( ! [X5] :
          ( conditionnormo(X5)
          | gt(X0,X5) )
      | ? [X1] :
          ( ~ conditionhyper(X1)
          & gt(X0,X1) )
      | ? [X2] :
          ( ~ bsecretioni(X2)
          & ~ gt(X0,X2) )
      | ~ bcapacityne(X0)
      | sP0(X0) ),
    inference(definition_folding,[],[f52,f57]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1] :
          ( bsecretioni(X1)
          | gt(X0,X1) )
      | bcapacityex(X0)
      | ? [X2] :
          ( ~ drugsu(X2)
          & ~ gt(X0,X2) ) ),
    inference(rectify,[],[f45]) ).

fof(f63,plain,
    ! [X0] :
      ( ? [X2] :
          ( ~ drugsu(X2)
          & ~ gt(X0,X2) )
     => ( ~ drugsu(sK2(X0))
        & ~ gt(X0,sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f64,plain,
    ! [X0] :
      ( ! [X1] :
          ( bsecretioni(X1)
          | gt(X0,X1) )
      | bcapacityex(X0)
      | ( ~ drugsu(sK2(X0))
        & ~ gt(X0,sK2(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f62,f63]) ).

fof(f65,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ releaselg(X1)
          | gt(X0,X1) )
      | ? [X2] :
          ( ~ drugbg(X2)
          & ~ gt(X0,X2) ) ),
    inference(rectify,[],[f46]) ).

fof(f66,plain,
    ! [X0] :
      ( ? [X2] :
          ( ~ drugbg(X2)
          & ~ gt(X0,X2) )
     => ( ~ drugbg(sK3(X0))
        & ~ gt(X0,sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ releaselg(X1)
          | gt(X0,X1) )
      | ( ~ drugbg(sK3(X0))
        & ~ gt(X0,sK3(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f65,f66]) ).

fof(f76,plain,
    ! [X0] :
      ( ( ? [X3] :
            ( ~ uptakepg(X3)
            & ~ gt(X0,X3) )
        & ? [X4] :
            ( releaselg(X4)
            & ~ gt(X0,X4) ) )
      | ~ sP0(X0) ),
    inference(nnf_transformation,[],[f57]) ).

fof(f77,plain,
    ! [X0] :
      ( ( ? [X1] :
            ( ~ uptakepg(X1)
            & ~ gt(X0,X1) )
        & ? [X2] :
            ( releaselg(X2)
            & ~ gt(X0,X2) ) )
      | ~ sP0(X0) ),
    inference(rectify,[],[f76]) ).

fof(f78,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ uptakepg(X1)
          & ~ gt(X0,X1) )
     => ( ~ uptakepg(sK8(X0))
        & ~ gt(X0,sK8(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f79,plain,
    ! [X0] :
      ( ? [X2] :
          ( releaselg(X2)
          & ~ gt(X0,X2) )
     => ( releaselg(sK9(X0))
        & ~ gt(X0,sK9(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f80,plain,
    ! [X0] :
      ( ( ~ uptakepg(sK8(X0))
        & ~ gt(X0,sK8(X0))
        & releaselg(sK9(X0))
        & ~ gt(X0,sK9(X0)) )
      | ~ sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f77,f79,f78]) ).

fof(f81,plain,
    ! [X0] :
      ( ! [X1] :
          ( conditionnormo(X1)
          | gt(X0,X1) )
      | ? [X2] :
          ( ~ conditionhyper(X2)
          & gt(X0,X2) )
      | ? [X3] :
          ( ~ bsecretioni(X3)
          & ~ gt(X0,X3) )
      | ~ bcapacityne(X0)
      | sP0(X0) ),
    inference(rectify,[],[f58]) ).

fof(f82,plain,
    ! [X0] :
      ( ? [X2] :
          ( ~ conditionhyper(X2)
          & gt(X0,X2) )
     => ( ~ conditionhyper(sK10(X0))
        & gt(X0,sK10(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f83,plain,
    ! [X0] :
      ( ? [X3] :
          ( ~ bsecretioni(X3)
          & ~ gt(X0,X3) )
     => ( ~ bsecretioni(sK11(X0))
        & ~ gt(X0,sK11(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f84,plain,
    ! [X0] :
      ( ! [X1] :
          ( conditionnormo(X1)
          | gt(X0,X1) )
      | ( ~ conditionhyper(sK10(X0))
        & gt(X0,sK10(X0)) )
      | ( ~ bsecretioni(sK11(X0))
        & ~ gt(X0,sK11(X0)) )
      | ~ bcapacityne(X0)
      | sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f81,f83,f82]) ).

fof(f90,plain,
    ( ? [X0] :
        ( ~ conditionnormo(X0)
        & ~ gt(n0,X0) )
    & bcapacityne(n0)
    & ! [X1] :
        ( conditionhyper(X1)
        | ~ gt(n0,X1) )
    & ! [X2] :
        ( ( drugsu(X2)
          & drugbg(X2) )
        | gt(n0,X2) ) ),
    inference(rectify,[],[f56]) ).

fof(f91,plain,
    ( ? [X0] :
        ( ~ conditionnormo(X0)
        & ~ gt(n0,X0) )
   => ( ~ conditionnormo(sK15)
      & ~ gt(n0,sK15) ) ),
    introduced(choice_axiom,[]) ).

fof(f92,plain,
    ( ~ conditionnormo(sK15)
    & ~ gt(n0,sK15)
    & bcapacityne(n0)
    & ! [X1] :
        ( conditionhyper(X1)
        | ~ gt(n0,X1) )
    & ! [X2] :
        ( ( drugsu(X2)
          & drugbg(X2) )
        | gt(n0,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f90,f91]) ).

fof(f96,plain,
    ! [X0] :
      ( ~ bcapacityex(X0)
      | ~ bcapacityne(X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( bsecretioni(X1)
      | gt(X0,X1)
      | bcapacityex(X0)
      | ~ gt(X0,sK2(X0)) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( bsecretioni(X1)
      | gt(X0,X1)
      | bcapacityex(X0)
      | ~ drugsu(sK2(X0)) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ~ releaselg(X1)
      | gt(X0,X1)
      | ~ gt(X0,sK3(X0)) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ~ releaselg(X1)
      | gt(X0,X1)
      | ~ drugbg(sK3(X0)) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f118,plain,
    ! [X0] :
      ( ~ gt(X0,sK9(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f119,plain,
    ! [X0] :
      ( releaselg(sK9(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( conditionnormo(X1)
      | gt(X0,X1)
      | gt(X0,sK10(X0))
      | ~ gt(X0,sK11(X0))
      | ~ bcapacityne(X0)
      | sP0(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( conditionnormo(X1)
      | gt(X0,X1)
      | gt(X0,sK10(X0))
      | ~ bsecretioni(sK11(X0))
      | ~ bcapacityne(X0)
      | sP0(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( conditionnormo(X1)
      | gt(X0,X1)
      | ~ conditionhyper(sK10(X0))
      | ~ gt(X0,sK11(X0))
      | ~ bcapacityne(X0)
      | sP0(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( conditionnormo(X1)
      | gt(X0,X1)
      | ~ conditionhyper(sK10(X0))
      | ~ bsecretioni(sK11(X0))
      | ~ bcapacityne(X0)
      | sP0(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f134,plain,
    ! [X2] :
      ( drugbg(X2)
      | gt(n0,X2) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f135,plain,
    ! [X2] :
      ( drugsu(X2)
      | gt(n0,X2) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f136,plain,
    ! [X1] :
      ( conditionhyper(X1)
      | ~ gt(n0,X1) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f137,plain,
    bcapacityne(n0),
    inference(cnf_transformation,[],[f92]) ).

fof(f138,plain,
    ~ gt(n0,sK15),
    inference(cnf_transformation,[],[f92]) ).

fof(f139,plain,
    ~ conditionnormo(sK15),
    inference(cnf_transformation,[],[f92]) ).

cnf(c_52,plain,
    ( ~ bcapacityex(X0)
    | ~ bcapacityne(X0) ),
    inference(cnf_transformation,[],[f96]) ).

cnf(c_62,plain,
    ( ~ drugsu(sK2(X0))
    | gt(X0,X1)
    | bcapacityex(X0)
    | bsecretioni(X1) ),
    inference(cnf_transformation,[],[f107]) ).

cnf(c_63,plain,
    ( ~ gt(X0,sK2(X0))
    | gt(X0,X1)
    | bcapacityex(X0)
    | bsecretioni(X1) ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_64,plain,
    ( ~ drugbg(sK3(X0))
    | ~ releaselg(X1)
    | gt(X0,X1) ),
    inference(cnf_transformation,[],[f109]) ).

cnf(c_65,plain,
    ( ~ gt(X0,sK3(X0))
    | ~ releaselg(X1)
    | gt(X0,X1) ),
    inference(cnf_transformation,[],[f108]) ).

cnf(c_76,plain,
    ( ~ sP0(X0)
    | releaselg(sK9(X0)) ),
    inference(cnf_transformation,[],[f119]) ).

cnf(c_77,plain,
    ( ~ gt(X0,sK9(X0))
    | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_78,plain,
    ( ~ conditionhyper(sK10(X0))
    | ~ bsecretioni(sK11(X0))
    | ~ bcapacityne(X0)
    | gt(X0,X1)
    | conditionnormo(X1)
    | sP0(X0) ),
    inference(cnf_transformation,[],[f125]) ).

cnf(c_79,plain,
    ( ~ gt(X0,sK11(X0))
    | ~ conditionhyper(sK10(X0))
    | ~ bcapacityne(X0)
    | gt(X0,X1)
    | conditionnormo(X1)
    | sP0(X0) ),
    inference(cnf_transformation,[],[f124]) ).

cnf(c_80,plain,
    ( ~ bsecretioni(sK11(X0))
    | ~ bcapacityne(X0)
    | gt(X0,sK10(X0))
    | gt(X0,X1)
    | conditionnormo(X1)
    | sP0(X0) ),
    inference(cnf_transformation,[],[f123]) ).

cnf(c_81,plain,
    ( ~ gt(X0,sK11(X0))
    | ~ bcapacityne(X0)
    | gt(X0,sK10(X0))
    | gt(X0,X1)
    | conditionnormo(X1)
    | sP0(X0) ),
    inference(cnf_transformation,[],[f122]) ).

cnf(c_90,negated_conjecture,
    ~ conditionnormo(sK15),
    inference(cnf_transformation,[],[f139]) ).

cnf(c_91,negated_conjecture,
    ~ gt(n0,sK15),
    inference(cnf_transformation,[],[f138]) ).

cnf(c_92,negated_conjecture,
    bcapacityne(n0),
    inference(cnf_transformation,[],[f137]) ).

cnf(c_93,negated_conjecture,
    ( ~ gt(n0,X0)
    | conditionhyper(X0) ),
    inference(cnf_transformation,[],[f136]) ).

cnf(c_94,negated_conjecture,
    ( gt(n0,X0)
    | drugsu(X0) ),
    inference(cnf_transformation,[],[f135]) ).

cnf(c_95,negated_conjecture,
    ( gt(n0,X0)
    | drugbg(X0) ),
    inference(cnf_transformation,[],[f134]) ).

cnf(c_106,plain,
    ( ~ bcapacityex(n0)
    | ~ bcapacityne(n0) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_108,plain,
    ( ~ gt(n0,sK9(n0))
    | ~ sP0(n0) ),
    inference(instantiation,[status(thm)],[c_77]) ).

cnf(c_517,plain,
    ( ~ releaselg(X0)
    | gt(n0,sK3(X1))
    | gt(X1,X0) ),
    inference(resolution,[status(thm)],[c_64,c_95]) ).

cnf(c_531,plain,
    ( gt(n0,sK2(X0))
    | gt(X0,X1)
    | bcapacityex(X0)
    | bsecretioni(X1) ),
    inference(resolution,[status(thm)],[c_62,c_94]) ).

cnf(c_945,plain,
    ( ~ sP0(X0)
    | gt(X1,sK9(X0))
    | gt(n0,sK3(X1)) ),
    inference(resolution,[status(thm)],[c_517,c_76]) ).

cnf(c_946,plain,
    ( ~ sP0(n0)
    | gt(n0,sK3(n0))
    | gt(n0,sK9(n0)) ),
    inference(instantiation,[status(thm)],[c_945]) ).

cnf(c_1013,plain,
    ( ~ gt(X0,sK3(X0))
    | ~ sP0(X1)
    | gt(X0,sK9(X1)) ),
    inference(resolution,[status(thm)],[c_65,c_76]) ).

cnf(c_1014,plain,
    ( ~ gt(n0,sK3(n0))
    | ~ sP0(n0)
    | gt(n0,sK9(n0)) ),
    inference(instantiation,[status(thm)],[c_1013]) ).

cnf(c_2937,plain,
    ( ~ gt(X0,sK11(X0))
    | ~ bcapacityne(X0)
    | gt(X0,sK10(X0))
    | gt(X0,sK15)
    | sP0(X0) ),
    inference(resolution,[status(thm)],[c_81,c_90]) ).

cnf(c_2938,plain,
    ( ~ gt(n0,sK11(n0))
    | ~ bcapacityne(n0)
    | gt(n0,sK10(n0))
    | gt(n0,sK15)
    | sP0(n0) ),
    inference(instantiation,[status(thm)],[c_2937]) ).

cnf(c_2954,plain,
    ( ~ bsecretioni(sK11(X0))
    | ~ bcapacityne(X0)
    | gt(X0,sK10(X0))
    | gt(X0,sK15)
    | sP0(X0) ),
    inference(resolution,[status(thm)],[c_80,c_90]) ).

cnf(c_2955,plain,
    ( ~ bsecretioni(sK11(n0))
    | ~ bcapacityne(n0)
    | gt(n0,sK10(n0))
    | gt(n0,sK15)
    | sP0(n0) ),
    inference(instantiation,[status(thm)],[c_2954]) ).

cnf(c_2971,plain,
    ( ~ gt(X0,sK11(X0))
    | ~ conditionhyper(sK10(X0))
    | ~ bcapacityne(X0)
    | gt(X0,sK15)
    | sP0(X0) ),
    inference(resolution,[status(thm)],[c_79,c_90]) ).

cnf(c_2972,plain,
    ( ~ gt(n0,sK11(n0))
    | ~ conditionhyper(sK10(n0))
    | ~ bcapacityne(n0)
    | gt(n0,sK15)
    | sP0(n0) ),
    inference(instantiation,[status(thm)],[c_2971]) ).

cnf(c_2988,plain,
    ( ~ conditionhyper(sK10(X0))
    | ~ bsecretioni(sK11(X0))
    | ~ bcapacityne(X0)
    | gt(X0,sK15)
    | sP0(X0) ),
    inference(resolution,[status(thm)],[c_78,c_90]) ).

cnf(c_2989,plain,
    ( ~ conditionhyper(sK10(n0))
    | ~ bsecretioni(sK11(n0))
    | ~ bcapacityne(n0)
    | gt(n0,sK15)
    | sP0(n0) ),
    inference(instantiation,[status(thm)],[c_2988]) ).

cnf(c_5516,plain,
    ( ~ gt(n0,sK11(n0))
    | gt(n0,sK10(n0))
    | gt(n0,X0)
    | conditionnormo(X0)
    | sP0(n0) ),
    inference(resolution,[status(thm)],[c_81,c_92]) ).

cnf(c_5517,plain,
    ( gt(n0,sK10(n0))
    | ~ gt(n0,sK11(n0)) ),
    inference(global_subsumption_just,[status(thm)],[c_5516,c_92,c_91,c_108,c_946,c_1014,c_2938]) ).

cnf(c_5518,plain,
    ( ~ gt(n0,sK11(n0))
    | gt(n0,sK10(n0)) ),
    inference(renaming,[status(thm)],[c_5517]) ).

cnf(c_5525,plain,
    ( ~ bsecretioni(sK11(n0))
    | gt(n0,sK10(n0))
    | gt(n0,X0)
    | conditionnormo(X0)
    | sP0(n0) ),
    inference(resolution,[status(thm)],[c_80,c_92]) ).

cnf(c_5526,plain,
    ( gt(n0,sK10(n0))
    | ~ bsecretioni(sK11(n0)) ),
    inference(global_subsumption_just,[status(thm)],[c_5525,c_92,c_91,c_108,c_946,c_1014,c_2955]) ).

cnf(c_5527,plain,
    ( ~ bsecretioni(sK11(n0))
    | gt(n0,sK10(n0)) ),
    inference(renaming,[status(thm)],[c_5526]) ).

cnf(c_5534,plain,
    ( ~ gt(n0,sK11(n0))
    | ~ conditionhyper(sK10(n0))
    | gt(n0,X0)
    | conditionnormo(X0)
    | sP0(n0) ),
    inference(resolution,[status(thm)],[c_79,c_92]) ).

cnf(c_5535,plain,
    ( ~ conditionhyper(sK10(n0))
    | ~ gt(n0,sK11(n0)) ),
    inference(global_subsumption_just,[status(thm)],[c_5534,c_92,c_91,c_108,c_946,c_1014,c_2972]) ).

cnf(c_5536,plain,
    ( ~ gt(n0,sK11(n0))
    | ~ conditionhyper(sK10(n0)) ),
    inference(renaming,[status(thm)],[c_5535]) ).

cnf(c_5543,plain,
    ( ~ conditionhyper(sK10(n0))
    | ~ bsecretioni(sK11(n0))
    | gt(n0,X0)
    | conditionnormo(X0)
    | sP0(n0) ),
    inference(resolution,[status(thm)],[c_78,c_92]) ).

cnf(c_5544,plain,
    ( ~ bsecretioni(sK11(n0))
    | ~ conditionhyper(sK10(n0)) ),
    inference(global_subsumption_just,[status(thm)],[c_5543,c_92,c_91,c_108,c_946,c_1014,c_2989]) ).

cnf(c_5545,plain,
    ( ~ conditionhyper(sK10(n0))
    | ~ bsecretioni(sK11(n0)) ),
    inference(renaming,[status(thm)],[c_5544]) ).

cnf(c_8374,negated_conjecture,
    ( ~ gt(n0,X0)
    | conditionhyper(X0) ),
    inference(demodulation,[status(thm)],[c_93]) ).

cnf(c_8390,plain,
    ( ~ gt(X0,sK2(X0))
    | gt(X0,sK11(X1))
    | bsecretioni(sK11(X1))
    | bcapacityex(X0) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_8391,plain,
    ( gt(X0,sK11(X1))
    | gt(n0,sK2(X0))
    | bsecretioni(sK11(X1))
    | bcapacityex(X0) ),
    inference(instantiation,[status(thm)],[c_531]) ).

cnf(c_8392,plain,
    ( gt(n0,sK2(n0))
    | gt(n0,sK11(n0))
    | bsecretioni(sK11(n0))
    | bcapacityex(n0) ),
    inference(instantiation,[status(thm)],[c_8391]) ).

cnf(c_8393,plain,
    ( ~ gt(n0,sK2(n0))
    | gt(n0,sK11(n0))
    | bsecretioni(sK11(n0))
    | bcapacityex(n0) ),
    inference(instantiation,[status(thm)],[c_8390]) ).

cnf(c_8397,plain,
    ( ~ gt(n0,sK10(n0))
    | conditionhyper(sK10(n0)) ),
    inference(instantiation,[status(thm)],[c_8374]) ).

cnf(c_8400,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_8397,c_8393,c_8392,c_5545,c_5536,c_5527,c_5518,c_106,c_92]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : MED002+1 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n029.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 19:39:37 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.17/0.42  Running first-order theorem proving
% 0.17/0.42  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.28/1.12  % SZS status Started for theBenchmark.p
% 3.28/1.12  % SZS status Theorem for theBenchmark.p
% 3.28/1.12  
% 3.28/1.12  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.28/1.12  
% 3.28/1.12  ------  iProver source info
% 3.28/1.12  
% 3.28/1.12  git: date: 2024-05-02 19:28:25 +0000
% 3.28/1.12  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.28/1.12  git: non_committed_changes: false
% 3.28/1.12  
% 3.28/1.12  ------ Parsing...
% 3.28/1.12  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.28/1.12  
% 3.28/1.12  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.28/1.12  
% 3.28/1.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.28/1.12  ------ Proving...
% 3.28/1.12  ------ Problem Properties 
% 3.28/1.12  
% 3.28/1.12  
% 3.28/1.12  clauses                                 42
% 3.28/1.12  conjectures                             4
% 3.28/1.12  EPR                                     12
% 3.28/1.12  Horn                                    20
% 3.28/1.12  unary                                   4
% 3.28/1.12  binary                                  9
% 3.28/1.12  lits                                    171
% 3.28/1.12  lits eq                                 0
% 3.28/1.12  fd_pure                                 0
% 3.28/1.12  fd_pseudo                               0
% 3.28/1.12  fd_cond                                 0
% 3.28/1.12  fd_pseudo_cond                          0
% 3.28/1.12  AC symbols                              0
% 3.28/1.12  
% 3.28/1.12  ------ Schedule dynamic 5 is on 
% 3.28/1.12  
% 3.28/1.12  ------ no equalities: superposition off 
% 3.28/1.12  
% 3.28/1.12  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.28/1.12  
% 3.28/1.12  
% 3.28/1.12  ------ 
% 3.28/1.12  Current options:
% 3.28/1.12  ------ 
% 3.28/1.12  
% 3.28/1.12  
% 3.28/1.12  
% 3.28/1.12  
% 3.28/1.12  ------ Proving...
% 3.28/1.12  
% 3.28/1.12  
% 3.28/1.12  % SZS status Theorem for theBenchmark.p
% 3.28/1.12  
% 3.28/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.28/1.12  
% 3.28/1.12  
%------------------------------------------------------------------------------