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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : MED008+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n018.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 : Fri Sep 25 02:11:10 PM UTC 2026

% Result   : Theorem 1.44s 1.71s
% Output   : CNFRefutation 1.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   89 (   9 unt;   3 def)
%            Number of atoms       :  478 (   0 equ)
%            Maximal formula atoms :   30 (   5 avg)
%            Number of connectives :  563 ( 174   ~; 224   |; 119   &)
%                                         (   0 <=>;  46  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   18 (  17 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :  201 (   0 sgn 193   !;   8   ?;  40   :)

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

fof(f24,axiom,
    ! [X0] :
      ( ~ s3(X0)
      | ~ s1(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',xorstep6) ).

fof(f26,axiom,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => conditionnormo(X1) )
     => ( ( ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) )
          & bcapacityex(X0)
          & ! [X1] :
              ( ~ gt(X0,X1)
             => uptakepg(X1) )
          & ! [X1] :
              ( ~ gt(X0,X1)
             => uptakelg(X1) ) )
        | ( ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) )
          & ! [X1] :
              ( ~ gt(X0,X1)
             => bsecretioni(X1) )
          & bcapacityne(X0)
          & ( ! [X1] :
                ( ~ gt(X0,X1)
               => uptakepg(X1) )
            | ! [X1] :
                ( ~ gt(X0,X1)
               => ~ releaselg(X1) ) ) )
        | ( ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) )
          & ~ qilt27(X0)
          & bcapacitysn(X0)
          & ! [X1] :
              ( ~ gt(X0,X1)
             => ~ releaselg(X1) ) )
        | ( ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) )
          & qilt27(X0)
          & bcapacitysn(X0)
          & ! [X1] :
              ( ~ gt(X0,X1)
             => bsecretioni(X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',normo) ).

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

fof(f34,axiom,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ gt(X0,X1)
           => uptakepg(X1) )
        | ! [X1] :
            ( ~ gt(X0,X1)
           => uptakelg(X1) ) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => drugi(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',insulin_completion) ).

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

fof(f41,conjecture,
    ( ( ~ qilt27(n0)
      & ~ bcapacitysn(n0)
      & ! [X0] :
          ( gt(n0,X0)
         => conditionhyper(X0) )
      & s1(n0) )
   => ~ ! [X0] :
          ( ~ gt(n0,X0)
         => conditionnormo(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unsuccessfuls1_qige27) ).

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

fof(f50,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => conditionnormo(X1) )
     => ( ( ! [X12] :
              ( gt(X0,X12)
             => conditionhyper(X12) )
          & bcapacityex(X0)
          & ! [X11] :
              ( ~ gt(X0,X11)
             => uptakepg(X11) )
          & ! [X10] :
              ( ~ gt(X0,X10)
             => uptakelg(X10) ) )
        | ( ! [X9] :
              ( gt(X0,X9)
             => conditionhyper(X9) )
          & ! [X8] :
              ( ~ gt(X0,X8)
             => bsecretioni(X8) )
          & bcapacityne(X0)
          & ( ! [X7] :
                ( ~ gt(X0,X7)
               => uptakepg(X7) )
            | ! [X6] :
                ( ~ gt(X0,X6)
               => ~ releaselg(X6) ) ) )
        | ( ! [X5] :
              ( gt(X0,X5)
             => conditionhyper(X5) )
          & ~ qilt27(X0)
          & bcapacitysn(X0)
          & ! [X4] :
              ( ~ gt(X0,X4)
             => ~ releaselg(X4) ) )
        | ( ! [X3] :
              ( gt(X0,X3)
             => conditionhyper(X3) )
          & qilt27(X0)
          & bcapacitysn(X0)
          & ! [X2] :
              ( ~ gt(X0,X2)
             => bsecretioni(X2) ) ) ) ),
    inference(rectify,[],[f26]) ).

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

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

fof(f75,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ gt(X0,X1)
          & ~ conditionnormo(X1) )
      | ( ! [X12] :
            ( ~ gt(X0,X12)
            | conditionhyper(X12) )
        & bcapacityex(X0)
        & ! [X11] :
            ( gt(X0,X11)
            | uptakepg(X11) )
        & ! [X10] :
            ( gt(X0,X10)
            | uptakelg(X10) ) )
      | ( ! [X9] :
            ( ~ gt(X0,X9)
            | conditionhyper(X9) )
        & ! [X8] :
            ( gt(X0,X8)
            | bsecretioni(X8) )
        & bcapacityne(X0)
        & ( ! [X7] :
              ( gt(X0,X7)
              | uptakepg(X7) )
          | ! [X6] :
              ( gt(X0,X6)
              | ~ releaselg(X6) ) ) )
      | ( ! [X5] :
            ( ~ gt(X0,X5)
            | conditionhyper(X5) )
        & ~ qilt27(X0)
        & bcapacitysn(X0)
        & ! [X4] :
            ( gt(X0,X4)
            | ~ releaselg(X4) ) )
      | ( ! [X3] :
            ( ~ gt(X0,X3)
            | conditionhyper(X3) )
        & qilt27(X0)
        & bcapacitysn(X0)
        & ! [X2] :
            ( gt(X0,X2)
            | bsecretioni(X2) ) ) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f76,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ gt(X0,X1)
          & ~ conditionnormo(X1) )
      | ( ! [X12] :
            ( ~ gt(X0,X12)
            | conditionhyper(X12) )
        & bcapacityex(X0)
        & ! [X11] :
            ( gt(X0,X11)
            | uptakepg(X11) )
        & ! [X10] :
            ( gt(X0,X10)
            | uptakelg(X10) ) )
      | ( ! [X9] :
            ( ~ gt(X0,X9)
            | conditionhyper(X9) )
        & ! [X8] :
            ( gt(X0,X8)
            | bsecretioni(X8) )
        & bcapacityne(X0)
        & ( ! [X7] :
              ( gt(X0,X7)
              | uptakepg(X7) )
          | ! [X6] :
              ( gt(X0,X6)
              | ~ releaselg(X6) ) ) )
      | ( ! [X5] :
            ( ~ gt(X0,X5)
            | conditionhyper(X5) )
        & ~ qilt27(X0)
        & bcapacitysn(X0)
        & ! [X4] :
            ( gt(X0,X4)
            | ~ releaselg(X4) ) )
      | ( ! [X3] :
            ( ~ gt(X0,X3)
            | conditionhyper(X3) )
        & qilt27(X0)
        & bcapacitysn(X0)
        & ! [X2] :
            ( gt(X0,X2)
            | bsecretioni(X2) ) ) ),
    inference(flattening,[],[f75]) ).

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

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

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

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

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

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

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

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

fof(f126,plain,
    ! [X0] :
      ( ~ sP2(X0)
      | ( ! [X9] :
            ( ~ gt(X0,X9)
            | conditionhyper(X9) )
        & ! [X8] :
            ( gt(X0,X8)
            | bsecretioni(X8) )
        & bcapacityne(X0)
        & ( ! [X7] :
              ( gt(X0,X7)
              | uptakepg(X7) )
          | ! [X6] :
              ( gt(X0,X6)
              | ~ releaselg(X6) ) ) ) ),
    inference(nnf_transformation,[],[f105]) ).

fof(f127,plain,
    ! [X0] :
      ( ~ sP2(X0)
      | ( ! [X4] :
            ( ~ gt(X0,X4)
            | conditionhyper(X4) )
        & ! [X3] :
            ( gt(X0,X3)
            | bsecretioni(X3) )
        & bcapacityne(X0)
        & ( ! [X2] :
              ( gt(X0,X2)
              | uptakepg(X2) )
          | ! [X1] :
              ( gt(X0,X1)
              | ~ releaselg(X1) ) ) ) ),
    inference(rectify,[],[f126]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tcf(c_49,plain,
    ! [X0: $i] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_97,plain,
    ! [X0: $i] :
      ( ~ s3(X0)
      | ~ s1(X0) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_100,plain,
    ! [X0: $i] :
      ( bcapacitysn(X0)
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_103,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( uptakepg(X2)
      | gt(X1,X2)
      | gt(X1,X0)
      | ~ sP2(X1)
      | ~ releaselg(X0) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_113,plain,
    ! [X0: $i] :
      ( sP1(X0)
      | sP2(X0)
      | sP3(X0)
      | bcapacitysn(X0)
      | ~ conditionnormo(sK18(X0)) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_114,plain,
    ! [X0: $i] :
      ( sP1(X0)
      | sP2(X0)
      | sP3(X0)
      | bcapacitysn(X0)
      | ~ gt(X0,sK18(X0)) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_128,plain,
    ! [X0: $i] :
      ( s3(X0)
      | ~ drugi(X0) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_129,plain,
    ! [X0: $i,X1: $i] :
      ( drugi(X1)
      | gt(X0,X1)
      | ~ uptakelg(sK19(X0)) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_130,plain,
    ! [X0: $i,X1: $i] :
      ( drugi(X1)
      | gt(X0,X1)
      | ~ gt(X0,sK19(X0)) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_131,plain,
    ! [X0: $i,X1: $i] :
      ( drugi(X1)
      | gt(X0,X1)
      | ~ uptakepg(sK20(X0)) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_132,plain,
    ! [X0: $i,X1: $i] :
      ( drugi(X1)
      | gt(X0,X1)
      | ~ gt(X0,sK20(X0)) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_133,plain,
    ! [X0: $i,X1: $i] :
      ( releaselg(X1)
      | uptakelg(X1)
      | gt(X0,X1) ),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_151,negated_conjecture,
    ! [X0: $i] :
      ( conditionnormo(X0)
      | gt(n0,X0) ),
    inference(cnf_transformation,[],[f251]) ).

tcf(c_152,negated_conjecture,
    s1(n0),
    inference(cnf_transformation,[],[f250]) ).

tcf(c_154,negated_conjecture,
    ~ bcapacitysn(n0),
    inference(cnf_transformation,[],[f248]) ).

tcf(c_156,plain,
    ~ gt(n0,n0),
    inference(instantiation,[status(thm)],[c_49]) ).

tcf(c_158,plain,
    ( s3(n0)
    | ~ drugi(n0) ),
    inference(instantiation,[status(thm)],[c_128]) ).

tcf(c_166,plain,
    ( ~ s3(n0)
    | ~ s1(n0) ),
    inference(instantiation,[status(thm)],[c_97]) ).

tcf(c_190,plain,
    ( drugi(n0)
    | gt(n0,n0)
    | ~ uptakepg(sK20(n0)) ),
    inference(instantiation,[status(thm)],[c_131]) ).

tcf(c_198,plain,
    ( drugi(n0)
    | gt(n0,n0)
    | ~ gt(n0,sK20(n0)) ),
    inference(instantiation,[status(thm)],[c_132]) ).

tcf(c_199,plain,
    ( drugi(n0)
    | gt(n0,n0)
    | ~ gt(n0,sK19(n0)) ),
    inference(instantiation,[status(thm)],[c_130]) ).

tcf(c_223,plain,
    ! [X0: $i] :
      ( sP1(X0)
      | sP2(X0)
      | ~ conditionnormo(sK18(X0))
      | bcapacitysn(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_113,c_100,c_113]) ).

tcf(c_224,plain,
    ! [X0: $i] :
      ( sP1(X0)
      | sP2(X0)
      | bcapacitysn(X0)
      | ~ conditionnormo(sK18(X0)) ),
    inference(renaming,[status(thm)],[c_223]) ).

tcf(c_226,plain,
    ! [X0: $i] :
      ( sP1(X0)
      | sP2(X0)
      | ~ gt(X0,sK18(X0))
      | bcapacitysn(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_114,c_100,c_114]) ).

tcf(c_227,plain,
    ! [X0: $i] :
      ( sP1(X0)
      | sP2(X0)
      | bcapacitysn(X0)
      | ~ gt(X0,sK18(X0)) ),
    inference(renaming,[status(thm)],[c_226]) ).

tcf(c_4673,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( drugi(X2)
      | releaselg(sK19(X1))
      | gt(X1,X2)
      | gt(X0,sK19(X1)) ),
    inference(resolution,[status(thm)],[c_133,c_129]) ).

tcf(c_4674,plain,
    ( drugi(n0)
    | releaselg(sK19(n0))
    | gt(n0,n0)
    | gt(n0,sK19(n0)) ),
    inference(instantiation,[status(thm)],[c_4673]) ).

tcf(c_8506,plain,
    ( sP1(n0)
    | sP2(n0)
    | ~ gt(n0,sK18(n0)) ),
    inference(resolution,[status(thm)],[c_227,c_154]) ).

tcf(c_8515,plain,
    ( sP1(n0)
    | sP2(n0)
    | ~ conditionnormo(sK18(n0)) ),
    inference(resolution,[status(thm)],[c_224,c_154]) ).

tcf(c_29552,negated_conjecture,
    ! [X0: $i] :
      ( conditionnormo(X0)
      | gt(n0,X0) ),
    inference(demodulation,[status(thm)],[c_151]) ).

tcf(c_29560,plain,
    ! [X0: $i] :
      ( conditionnormo(sK18(X0))
      | gt(n0,sK18(X0)) ),
    inference(instantiation,[status(thm)],[c_29552]) ).

tcf(c_29561,plain,
    ( conditionnormo(sK18(n0))
    | gt(n0,sK18(n0)) ),
    inference(instantiation,[status(thm)],[c_29560]) ).

tcf(c_29622,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( uptakepg(X2)
      | gt(X1,X2)
      | gt(X1,sK19(X0))
      | ~ sP2(X1)
      | ~ releaselg(sK19(X0)) ),
    inference(instantiation,[status(thm)],[c_103]) ).

tcf(c_30040,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( uptakepg(sK20(X2))
      | gt(X1,sK20(X2))
      | gt(X1,sK19(X0))
      | ~ sP2(X1)
      | ~ releaselg(sK19(X0)) ),
    inference(instantiation,[status(thm)],[c_29622]) ).

tcf(c_30041,plain,
    ( uptakepg(sK20(n0))
    | gt(n0,sK20(n0))
    | gt(n0,sK19(n0))
    | ~ sP2(n0)
    | ~ releaselg(sK19(n0)) ),
    inference(instantiation,[status(thm)],[c_30040]) ).

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

fof(f105,definition,
    ! [X0] :
      ( ~ sP2(X0)
      | ( ! [X9] :
            ( ~ gt(X0,X9)
            | conditionhyper(X9) )
        & ! [X8] :
            ( gt(X0,X8)
            | bsecretioni(X8) )
        & bcapacityne(X0)
        & ( ! [X7] :
              ( gt(X0,X7)
              | uptakepg(X7) )
          | ! [X6] :
              ( gt(X0,X6)
              | ~ releaselg(X6) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

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

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

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

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

fof(f206,plain,
    ! [X0,X1] :
      ( ~ sP1(X0)
      | gt(X0,X1)
      | uptakelg(X1) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_107,plain,
    ! [X0: $i,X1: $i] :
      ( uptakelg(X1)
      | gt(X0,X1)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_4687,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( drugi(X2)
      | gt(X1,X2)
      | gt(X0,sK19(X1))
      | ~ sP1(X0) ),
    inference(resolution,[status(thm)],[c_107,c_129]) ).

tcf(c_4688,plain,
    ( drugi(n0)
    | gt(n0,n0)
    | gt(n0,sK19(n0))
    | ~ sP1(n0) ),
    inference(instantiation,[status(thm)],[c_4687]) ).

tcf(c_30042,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_30041,c_29561,c_8515,c_8506,c_4688,c_4674,c_199,c_198,c_190,c_166,c_158,c_156,c_152]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MED008+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36  % Computer : n018.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Thu Sep 24 00:56:34 UTC 2026
% 0.08/0.37  % CPUTime  : 
% 0.08/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.43  Running first-order theorem proving
% 0.08/0.43  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.45  
% 0.08/0.45  % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.45  
% 0.08/0.45  % Detected problem language: tptp
% 0.08/0.47  % Proving...
% 1.44/1.71  % SZS status Started for theBenchmark.p
% 1.44/1.71  % SZS status Theorem for theBenchmark.p
% 1.44/1.71  
% 1.44/1.71  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.44/1.71  
% 1.44/1.71  % ------  iProver source info
% 1.44/1.71  
% 1.44/1.71  % git: date: 2026-07-19 20:42:38 +0200
% 1.44/1.71  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.44/1.71  % git: non_committed_changes: false
% 1.44/1.71  
% 1.44/1.71  % ------ Parsing...
% 1.44/1.71  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.44/1.71  
% 1.44/1.71  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 1.44/1.71  
% 1.44/1.71  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.44/1.71  % ------ Proving...
% 1.44/1.71  % ------ Problem Properties 
% 1.44/1.71  
% 1.44/1.71  % 
% 1.44/1.71  % clauses                               104
% 1.44/1.71  % conjectures                           4
% 1.44/1.71  % EPR                                   43
% 1.44/1.71  % Horn                                  40
% 1.44/1.71  % unary                                 4
% 1.44/1.71  % binary                                27
% 1.44/1.71  % lits                                  370
% 1.44/1.71  % lits eq                               0
% 1.44/1.71  % fd_pure                               0
% 1.44/1.71  % fd_pseudo                             0
% 1.44/1.71  % fd_cond                               0
% 1.44/1.71  % fd_pseudo_cond                        0
% 1.44/1.71  % AC symbols                            0
% 1.44/1.71  
% 1.44/1.71  % ------ Schedule dynamic 5 is on 
% 1.44/1.71  
% 1.44/1.71  % ------ no equalities: superposition off 
% 1.44/1.71  
% 1.44/1.71  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.44/1.71  
% 1.44/1.71  
% 1.44/1.71  % ------ 
% 1.44/1.71  % Current options:
% 1.44/1.71  % ------ 
% 1.44/1.71  
% 1.44/1.71  
% 1.44/1.71  % 
% 1.44/1.71  
% 1.44/1.71  % ------ Proving...
% 1.44/1.71  % 
% 1.44/1.71  
% 1.44/1.71  % SZS status Theorem for theBenchmark.p
% 1.44/1.71  
% 1.44/1.71  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.44/1.71  
% 1.44/1.71  
%------------------------------------------------------------------------------