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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : MED008+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n005.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 : Sun Sep 27 08:00:27 AM UTC 2026

% Result   : Theorem 38.71s 9.37s
% Output   : Refutation 33.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   47
% Syntax   : Number of formulae    :  150 (  20 unt;   0 typ;   6 def)
%            Number of atoms       :  717 (  22 equ;   0 cnn)
%            Maximal formula atoms :   84 (   4 avg)
%            Number of connectives : 1759 ( 352   ~; 238   |; 132   &; 878   @)
%                                         (   0 <=>; 159  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   38 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   35 (  32 usr;   3 con; 0-2 aty)
%            Number of variables   :  276 (   6   ^; 257   !;   7   ?; 276   :)
%                                         (   0  !>;   0  ?*;   0  @-;   6  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(s1_decl,type,
    s1: $i > $o ).

thf(n0_decl,type,
    n0: $i ).

thf(gt_decl,type,
    gt: $i > $i > $o ).

thf(conditionhyper_decl,type,
    conditionhyper: $i > $o ).

thf(bcapacitysn_decl,type,
    bcapacitysn: $i > $o ).

thf(qilt27_decl,type,
    qilt27: $i > $o ).

thf(conditionnormo_decl,type,
    conditionnormo: $i > $o ).

thf(bcapacityne_decl,type,
    bcapacityne: $i > $o ).

thf(bcapacityex_decl,type,
    bcapacityex: $i > $o ).

thf(s2_decl,type,
    s2: $i > $o ).

thf(s3_decl,type,
    s3: $i > $o ).

thf(s0_decl,type,
    s0: $i > $o ).

thf(drugi_decl,type,
    drugi: $i > $o ).

thf(drugbg_decl,type,
    drugbg: $i > $o ).

thf(drugsu_decl,type,
    drugsu: $i > $o ).

thf(releaselg_decl,type,
    releaselg: $i > $o ).

thf(uptakepg_decl,type,
    uptakepg: $i > $o ).

thf(bsecretioni_decl,type,
    bsecretioni: $i > $o ).

thf(uptakelg_decl,type,
    uptakelg: $i > $o ).

thf(conditionhypo_decl,type,
    conditionhypo: $i > $o ).

thf(qillt27_decl,type,
    qillt27: $i > $o ).

thf(sk1_decl,type,
    sk1: $i > $o ).

thf(sk2_decl,type,
    sk2: $i > $i ).

thf(sk3_decl,type,
    sk3: $i > $i ).

thf(sk4_decl,type,
    sk4: $i > $i ).

thf(sk5_decl,type,
    sk5: $i > $i ).

thf(sk9_decl,type,
    sk9: $i > $o ).

thf(sk10_decl,type,
    sk10: $i > $i ).

thf(sk11_decl,type,
    sk11: $i > $o ).

thf(sk12_decl,type,
    sk12: $i > $o ).

thf(sk13_decl,type,
    sk13: $i > $o ).

thf(sk26_decl,type,
    sk26: $i > $i ).

thf(sk2_def,definition,
    ( sk2
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ~ ( B @ ( A @ gt ) )
           => ~ ( B @ releaselg ) ) ) ) ).

thf(sk3_def,definition,
    ( sk3
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ~ ( B @ ( A @ gt ) )
           => ( B @ uptakepg ) ) ) ) ).

thf(sk4_def,definition,
    ( sk4
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ~ ( B @ ( A @ gt ) )
           => ( B @ bsecretioni ) ) ) ) ).

thf(sk5_def,definition,
    ( sk5
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ ( A @ gt ) )
           => ( B @ conditionhyper ) ) ) ) ).

thf(sk10_def,definition,
    ( sk10
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ~ ( B @ ( A @ gt ) )
           => ( B @ conditionnormo ) ) ) ) ).

thf(sk26_def,definition,
    ( sk26
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ~ ( B @ ( A @ gt ) )
           => ( B @ bsecretioni ) ) ) ) ).

thf(5,axiom,
    ! [A: $i] :
      ( ~ ( A @ s2 )
      | ~ ( A @ s0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep3) ).

thf(55,plain,
    ! [A: $i] :
      ( ~ ( A @ s2 )
      | ~ ( A @ s0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(56,plain,
    ! [A: $i] :
      ( ~ ( A @ s2 )
      | ~ ( A @ s0 ) ),
    inference(cnf,[status(esa)],[55]) ).

thf(30,axiom,
    ! [A: $i] :
      ( ( A @ drugsu )
     => ( ( A @ s3 )
        | ( A @ s2 )
        | ( ( A @ qillt27 )
          & ( A @ s1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sucomp) ).

thf(174,plain,
    ! [A: $i] :
      ( ( A @ drugsu )
     => ( ( A @ s3 )
        | ( A @ s2 )
        | ( ( A @ qillt27 )
          & ( A @ s1 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(27,axiom,
    ! [A: $i] :
      ( ~ ( A @ conditionhypo )
      | ~ ( A @ conditionhyper ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcondition2) ).

thf(164,plain,
    ! [A: $i] :
      ( ~ ( A @ conditionhypo )
      | ~ ( A @ conditionhyper ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(37,axiom,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( B @ bsecretioni ) )
     => ( ~ ( A @ bcapacityex )
        & ! [B: $i] :
            ( ~ ( B @ ( A @ gt ) )
           => ( B @ drugsu ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',su_completion) ).

thf(198,plain,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( B @ bsecretioni ) )
     => ( ~ ( A @ bcapacityex )
        & ! [B: $i] :
            ( ~ ( B @ ( A @ gt ) )
           => ( B @ drugsu ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(199,plain,
    ! [B: $i,A: $i] :
      ( ( ~ ( A @ bcapacityex )
        | ~ ( A @ sk26 @ bsecretioni ) )
      & ( ( B @ drugsu )
        | ( B @ ( A @ gt ) )
        | ~ ( A @ sk26 @ bsecretioni ) )
      & ( ~ ( A @ bcapacityex )
        | ~ ( A @ sk26 @ ( A @ gt ) ) )
      & ( ( B @ drugsu )
        | ( B @ ( A @ gt ) )
        | ~ ( A @ sk26 @ ( A @ gt ) ) ) ),
    inference(cnf,[status(esa)],[198]) ).

thf(201,plain,
    ! [A: $i] :
      ( ~ ( A @ bcapacityex )
      | ~ ( A @ sk26 @ ( A @ gt ) ) ),
    inference(cnfConj,[status(thm)],[199]) ).

thf(38,axiom,
    ! [A: $i] :
      ( ~ ( A @ bcapacitysn )
      | ~ ( A @ bcapacityex ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcapacity4) ).

thf(204,plain,
    ! [A: $i] :
      ( ~ ( A @ bcapacitysn )
      | ~ ( A @ bcapacityex ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(205,plain,
    ! [A: $i] :
      ( ~ ( A @ bcapacitysn )
      | ~ ( A @ bcapacityex ) ),
    inference(cnf,[status(esa)],[204]) ).

thf(35,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( B @ ( A @ gt ) )
     => ( ~ ( B @ releaselg )
       => ( B @ uptakelg ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',uptake_completion) ).

thf(194,plain,
    ! [A: $i,B: $i] :
      ( ~ ( B @ ( A @ gt ) )
     => ( ~ ( B @ releaselg )
       => ( B @ uptakelg ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(6,axiom,
    ! [A: $i] :
      ( ( A @ drugi )
     => ( A @ s3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',insulincomp) ).

thf(57,plain,
    ! [A: $i] :
      ( ( A @ drugi )
     => ( A @ s3 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(58,plain,
    ! [A: $i] :
      ( ( A @ s3 )
      | ~ ( A @ drugi ) ),
    inference(cnf,[status(esa)],[57]) ).

thf(9,axiom,
    ! [A: $i] :
      ( ~ ( A @ s3 )
      | ~ ( A @ s0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep4) ).

thf(68,plain,
    ! [A: $i] :
      ( ~ ( A @ s3 )
      | ~ ( A @ s0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(69,plain,
    ! [A: $i] :
      ( ~ ( A @ s3 )
      | ~ ( A @ s0 ) ),
    inference(cnf,[status(esa)],[68]) ).

thf(21,axiom,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ( B @ ( A @ gt ) )
           => ( B @ conditionhyper ) )
        & ( A @ bcapacityex )
        & ! [B: $i] :
            ( ~ ( B @ ( A @ gt ) )
           => ( B @ uptakepg ) )
        & ! [B: $i] :
            ( ~ ( B @ ( A @ gt ) )
           => ( B @ uptakelg ) ) )
     => ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( ( B @ conditionhypo )
            | ( B @ conditionnormo ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ex_cure) ).

thf(138,plain,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ( B @ ( A @ gt ) )
           => ( B @ conditionhyper ) )
        & ( A @ bcapacityex )
        & ! [B: $i] :
            ( ~ ( B @ ( A @ gt ) )
           => ( B @ uptakepg ) )
        & ! [B: $i] :
            ( ~ ( B @ ( A @ gt ) )
           => ( B @ uptakelg ) ) )
     => ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( ( B @ conditionhypo )
            | ( B @ conditionnormo ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(13,axiom,
    ! [A: $i] :
      ( ~ ( A @ conditionnormo )
      | ~ ( A @ conditionhyper ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcondition3) ).

thf(88,plain,
    ! [A: $i] :
      ( ~ ( A @ conditionnormo )
      | ~ ( A @ conditionhyper ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(3,axiom,
    ! [A: $i] :
      ( ~ ( A @ bcapacityex )
      | ~ ( A @ bcapacityne ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcapacity2) ).

thf(51,plain,
    ! [A: $i] :
      ( ~ ( A @ bcapacityex )
      | ~ ( A @ bcapacityne ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(52,plain,
    ! [A: $i] :
      ( ~ ( A @ bcapacityex )
      | ~ ( A @ bcapacityne ) ),
    inference(cnf,[status(esa)],[51]) ).

thf(32,axiom,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ( B @ ( A @ gt ) )
           => ( B @ conditionhyper ) )
        & ( A @ qilt27 )
        & ( A @ bcapacitysn )
        & ! [B: $i] :
            ( ~ ( B @ ( A @ gt ) )
           => ( B @ bsecretioni ) ) )
     => ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( B @ conditionnormo ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sn_cure_1) ).

thf(184,plain,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ( B @ ( A @ gt ) )
           => ( B @ conditionhyper ) )
        & ( A @ qilt27 )
        & ( A @ bcapacitysn )
        & ! [B: $i] :
            ( ~ ( B @ ( A @ gt ) )
           => ( B @ bsecretioni ) ) )
     => ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( B @ conditionnormo ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(17,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( B @ ( A @ gt ) )
     => ( ( B @ uptakelg )
       => ~ ( B @ releaselg ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',liver_glucose) ).

thf(125,plain,
    ! [A: $i,B: $i] :
      ( ~ ( B @ ( A @ gt ) )
     => ( ( B @ uptakelg )
       => ~ ( B @ releaselg ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(36,axiom,
    ! [A: $i] :
      ( ~ ( A @ s3 )
      | ~ ( A @ s1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep6) ).

thf(196,plain,
    ! [A: $i] :
      ( ~ ( A @ s3 )
      | ~ ( A @ s1 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(1,conjecture,
    ( ( ~ ( n0 @ qilt27 )
      & ~ ( n0 @ bcapacitysn )
      & ! [A: $i] :
          ( ( A @ ( n0 @ gt ) )
         => ( A @ conditionhyper ) )
      & ( n0 @ s1 ) )
   => ~ ! [A: $i] :
          ( ~ ( A @ ( n0 @ gt ) )
         => ( A @ conditionnormo ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unsuccessfuls1_qige27) ).

thf(2,negated_conjecture,
    ~ ( ( ~ ( n0 @ qilt27 )
        & ~ ( n0 @ bcapacitysn )
        & ! [A: $i] :
            ( ( A @ ( n0 @ gt ) )
           => ( A @ conditionhyper ) )
        & ( n0 @ s1 ) )
     => ~ ! [A: $i] :
            ( ~ ( A @ ( n0 @ gt ) )
           => ( A @ conditionnormo ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(43,plain,
    ~ ( ( ~ ( n0 @ qilt27 )
        & ~ ( n0 @ bcapacitysn )
        & ! [A: $i] :
            ( ( A @ ( n0 @ gt ) )
           => ( A @ conditionhyper ) )
        & ( n0 @ s1 ) )
     => ~ ! [A: $i] :
            ( ~ ( A @ ( n0 @ gt ) )
           => ( A @ conditionnormo ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(44,plain,
    ! [B: $i,A: $i] :
      ( ( ( B @ conditionnormo )
        | ( B @ ( n0 @ gt ) ) )
      & ~ ( n0 @ qilt27 )
      & ~ ( n0 @ bcapacitysn )
      & ( ( A @ conditionhyper )
        | ~ ( A @ ( n0 @ gt ) ) )
      & ( n0 @ s1 ) ),
    inference(cnf,[status(esa)],[43]) ).

thf(46,plain,
    ! [A: $i] :
      ( ( A @ conditionhyper )
      | ~ ( A @ ( n0 @ gt ) ) ),
    inference(cnfConj,[status(thm)],[44]) ).

thf(22,axiom,
    ! [A: $i] :
      ( ~ ( A @ bcapacitysn )
      | ~ ( A @ bcapacityne ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcapacity3) ).

thf(146,plain,
    ! [A: $i] :
      ( ~ ( A @ bcapacitysn )
      | ~ ( A @ bcapacityne ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(147,plain,
    ! [A: $i] :
      ( ~ ( A @ bcapacitysn )
      | ~ ( A @ bcapacityne ) ),
    inference(cnf,[status(esa)],[146]) ).

thf(7,axiom,
    ! [A: $i] :
      ( ( A @ s2 )
     => ( ( A @ drugsu )
        & ( A @ drugbg ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',step3) ).

thf(59,plain,
    ! [A: $i] :
      ( ( A @ s2 )
     => ( ( A @ drugsu )
        & ( A @ drugbg ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(60,plain,
    ! [A: $i] :
      ( ( ( A @ drugsu )
        | ~ ( A @ s2 ) )
      & ( ( A @ drugbg )
        | ~ ( A @ s2 ) ) ),
    inference(cnf,[status(esa)],[59]) ).

thf(61,plain,
    ! [A: $i] :
      ( ( A @ drugbg )
      | ~ ( A @ s2 ) ),
    inference(cnfConj,[status(thm)],[60]) ).

thf(47,plain,
    ! [A: $i] :
      ( ( A @ conditionnormo )
      | ( A @ ( n0 @ gt ) ) ),
    inference(cnfConj,[status(thm)],[44]) ).

thf(50,plain,
    ! [A: $i] :
      ( ( A @ conditionnormo )
      | ( A @ ( n0 @ gt ) ) ),
    inference(simp,[status(thm)],[47]) ).

thf(20,axiom,
    ! [A: $i] :
      ~ ( A @ ( A @ gt ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).

thf(135,plain,
    ! [A: $i] :
      ~ ( A @ ( A @ gt ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(136,plain,
    ~ ? [A: $i] : ( A @ ( A @ gt ) ),
    inference(miniscope,[status(thm)],[135]) ).

thf(137,plain,
    ! [A: $i] :
      ~ ( A @ ( A @ gt ) ),
    inference(cnf,[status(esa)],[136]) ).

thf(219,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( n0 @ gt ) )
       != ( B @ ( B @ gt ) ) )
      | ~ $true
      | ( A @ conditionnormo ) ),
    inference(paramod_ordered,[status(thm)],[50,137]) ).

thf(220,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( n0 @ gt ) )
       != ( B @ ( B @ gt ) ) )
      | ( A @ conditionnormo ) ),
    inference(simp,[status(thm)],[219]) ).

thf(221,plain,
    n0 @ conditionnormo,
    inference(pattern_uni,[status(thm)],[220:[bind(A,$thf( n0 )),bind(B,$thf( n0 ))]]) ).

thf(89,plain,
    ! [A: $i] :
      ( ~ ( A @ conditionnormo )
      | ~ ( A @ conditionhyper ) ),
    inference(cnf,[status(esa)],[88]) ).

thf(39,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ gt ) )
        & ( B @ ( A @ gt ) ) )
     => ( C @ ( A @ gt ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_gt) ).

thf(206,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ gt ) )
        & ( B @ ( A @ gt ) ) )
     => ( C @ ( A @ gt ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(26,axiom,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( B @ drugbg ) )
     => ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ~ ( B @ releaselg ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',biguanide_effect) ).

thf(160,plain,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( B @ drugbg ) )
     => ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ~ ( B @ releaselg ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(10,axiom,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ( B @ ( A @ gt ) )
           => ( B @ conditionhyper ) )
        & ! [B: $i] :
            ( ~ ( B @ ( A @ gt ) )
           => ( B @ bsecretioni ) )
        & ( A @ bcapacityne )
        & ( ! [B: $i] :
              ( ~ ( B @ ( A @ gt ) )
             => ( B @ uptakepg ) )
          | ! [B: $i] :
              ( ~ ( B @ ( A @ gt ) )
             => ~ ( B @ releaselg ) ) ) )
     => ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( B @ conditionnormo ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ne_cure) ).

thf(70,plain,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ( B @ ( A @ gt ) )
           => ( B @ conditionhyper ) )
        & ! [B: $i] :
            ( ~ ( B @ ( A @ gt ) )
           => ( B @ bsecretioni ) )
        & ( A @ bcapacityne )
        & ( ! [B: $i] :
              ( ~ ( B @ ( A @ gt ) )
             => ( B @ uptakepg ) )
          | ! [B: $i] :
              ( ~ ( B @ ( A @ gt ) )
             => ~ ( B @ releaselg ) ) ) )
     => ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( B @ conditionnormo ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(34,axiom,
    ! [A: $i] :
      ( ~ ( A @ s2 )
      | ~ ( A @ s1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep5) ).

thf(192,plain,
    ! [A: $i] :
      ( ~ ( A @ s2 )
      | ~ ( A @ s1 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(165,plain,
    ! [A: $i] :
      ( ~ ( A @ conditionhypo )
      | ~ ( A @ conditionhyper ) ),
    inference(cnf,[status(esa)],[164]) ).

thf(197,plain,
    ! [A: $i] :
      ( ~ ( A @ s3 )
      | ~ ( A @ s1 ) ),
    inference(cnf,[status(esa)],[196]) ).

thf(222,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( n0 @ gt ) )
       != ( B @ ( n0 @ gt ) ) )
      | ( B @ conditionhyper )
      | ~ $true
      | ( A @ conditionnormo ) ),
    inference(paramod_ordered,[status(thm)],[50,46]) ).

thf(223,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( n0 @ gt ) )
       != ( B @ ( n0 @ gt ) ) )
      | ( B @ conditionhyper )
      | ( A @ conditionnormo ) ),
    inference(simp,[status(thm)],[222]) ).

thf(224,plain,
    ! [A: $i] :
      ( ( A @ conditionhyper )
      | ( A @ conditionnormo ) ),
    inference(pattern_uni,[status(thm)],[223:[bind(A,$thf( A )),bind(B,$thf( A ))]]) ).

thf(25,axiom,
    ! [A: $i] :
      ( ( A @ drugbg )
     => ( ( A @ s3 )
        | ( A @ s2 )
        | ( ~ ( A @ qilt27 )
          & ( A @ s1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bgcomp) ).

thf(156,plain,
    ! [A: $i] :
      ( ( A @ drugbg )
     => ( ( A @ s3 )
        | ( A @ s2 )
        | ( ~ ( A @ qilt27 )
          & ( A @ s1 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(4,axiom,
    ! [A: $i] :
      ( ~ ( A @ s3 )
      | ~ ( A @ s2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep7) ).

thf(53,plain,
    ! [A: $i] :
      ( ~ ( A @ s3 )
      | ~ ( A @ s2 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(193,plain,
    ! [A: $i] :
      ( ~ ( A @ s2 )
      | ~ ( A @ s1 ) ),
    inference(cnf,[status(esa)],[192]) ).

thf(16,axiom,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( B @ conditionnormo ) )
     => ( ( ! [B: $i] :
              ( ( B @ ( A @ gt ) )
             => ( B @ conditionhyper ) )
          & ( A @ bcapacityex )
          & ! [B: $i] :
              ( ~ ( B @ ( A @ gt ) )
             => ( B @ uptakepg ) )
          & ! [B: $i] :
              ( ~ ( B @ ( A @ gt ) )
             => ( B @ uptakelg ) ) )
        | ( ! [B: $i] :
              ( ( B @ ( A @ gt ) )
             => ( B @ conditionhyper ) )
          & ! [B: $i] :
              ( ~ ( B @ ( A @ gt ) )
             => ( B @ bsecretioni ) )
          & ( A @ bcapacityne )
          & ( ! [B: $i] :
                ( ~ ( B @ ( A @ gt ) )
               => ( B @ uptakepg ) )
            | ! [B: $i] :
                ( ~ ( B @ ( A @ gt ) )
               => ~ ( B @ releaselg ) ) ) )
        | ( ! [B: $i] :
              ( ( B @ ( A @ gt ) )
             => ( B @ conditionhyper ) )
          & ~ ( A @ qilt27 )
          & ( A @ bcapacitysn )
          & ! [B: $i] :
              ( ~ ( B @ ( A @ gt ) )
             => ~ ( B @ releaselg ) ) )
        | ( ! [B: $i] :
              ( ( B @ ( A @ gt ) )
             => ( B @ conditionhyper ) )
          & ( A @ qilt27 )
          & ( A @ bcapacitysn )
          & ! [B: $i] :
              ( ~ ( B @ ( A @ gt ) )
             => ( B @ bsecretioni ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',normo) ).

thf(96,plain,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( B @ conditionnormo ) )
     => ( ( ! [B: $i] :
              ( ( B @ ( A @ gt ) )
             => ( B @ conditionhyper ) )
          & ( A @ bcapacityex )
          & ! [B: $i] :
              ( ~ ( B @ ( A @ gt ) )
             => ( B @ uptakepg ) )
          & ! [B: $i] :
              ( ~ ( B @ ( A @ gt ) )
             => ( B @ uptakelg ) ) )
        | ( ! [B: $i] :
              ( ( B @ ( A @ gt ) )
             => ( B @ conditionhyper ) )
          & ! [B: $i] :
              ( ~ ( B @ ( A @ gt ) )
             => ( B @ bsecretioni ) )
          & ( A @ bcapacityne )
          & ( ! [B: $i] :
                ( ~ ( B @ ( A @ gt ) )
               => ( B @ uptakepg ) )
            | ! [B: $i] :
                ( ~ ( B @ ( A @ gt ) )
               => ~ ( B @ releaselg ) ) ) )
        | ( ! [B: $i] :
              ( ( B @ ( A @ gt ) )
             => ( B @ conditionhyper ) )
          & ~ ( A @ qilt27 )
          & ( A @ bcapacitysn )
          & ! [B: $i] :
              ( ~ ( B @ ( A @ gt ) )
             => ~ ( B @ releaselg ) ) )
        | ( ! [B: $i] :
              ( ( B @ ( A @ gt ) )
             => ( B @ conditionhyper ) )
          & ( A @ qilt27 )
          & ( A @ bcapacitysn )
          & ! [B: $i] :
              ( ~ ( B @ ( A @ gt ) )
             => ( B @ bsecretioni ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(29,axiom,
    ! [A: $i] :
      ( ~ ( A @ conditionnormo )
      | ~ ( A @ conditionhypo ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcondition4) ).

thf(172,plain,
    ! [A: $i] :
      ( ~ ( A @ conditionnormo )
      | ~ ( A @ conditionhypo ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(173,plain,
    ! [A: $i] :
      ( ~ ( A @ conditionnormo )
      | ~ ( A @ conditionhypo ) ),
    inference(cnf,[status(esa)],[172]) ).

thf(19,axiom,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ~ ( B @ ( A @ gt ) )
           => ( B @ uptakepg ) )
        | ! [B: $i] :
            ( ~ ( B @ ( A @ gt ) )
           => ( B @ uptakelg ) ) )
     => ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( B @ drugi ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',insulin_completion) ).

thf(129,plain,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ~ ( B @ ( A @ gt ) )
           => ( B @ uptakepg ) )
        | ! [B: $i] :
            ( ~ ( B @ ( A @ gt ) )
           => ( B @ uptakelg ) ) )
     => ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( B @ drugi ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(28,axiom,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( B @ drugi ) )
     => ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( ( B @ uptakepg )
            & ( B @ uptakelg ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',insulin_effect) ).

thf(166,plain,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( B @ drugi ) )
     => ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( ( B @ uptakepg )
            & ( B @ uptakelg ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(23,axiom,
    ! [A: $i] :
      ( ( ~ ( A @ qilt27 )
        & ( A @ s1 ) )
     => ( A @ drugbg ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',step2) ).

thf(148,plain,
    ! [A: $i] :
      ( ( ~ ( A @ qilt27 )
        & ( A @ s1 ) )
     => ( A @ drugbg ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(45,plain,
    ~ ( n0 @ qilt27 ),
    inference(cnfConj,[status(thm)],[44]) ).

thf(33,axiom,
    ! [A: $i] :
      ( ~ ( A @ s1 )
      | ~ ( A @ s0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep2) ).

thf(190,plain,
    ! [A: $i] :
      ( ~ ( A @ s1 )
      | ~ ( A @ s0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(191,plain,
    ! [A: $i] :
      ( ~ ( A @ s1 )
      | ~ ( A @ s0 ) ),
    inference(cnf,[status(esa)],[190]) ).

thf(54,plain,
    ! [A: $i] :
      ( ~ ( A @ s3 )
      | ~ ( A @ s2 ) ),
    inference(cnf,[status(esa)],[53]) ).

thf(49,plain,
    n0 @ s1,
    inference(cnfConj,[status(thm)],[44]) ).

thf(234,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ conditionnormo )
       != ( B @ conditionnormo ) )
      | ~ $true
      | ~ ( B @ conditionhypo )
      | ( A @ conditionhyper ) ),
    inference(paramod_ordered,[status(thm)],[224,173]) ).

thf(235,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ conditionnormo )
       != ( B @ conditionnormo ) )
      | ~ ( B @ conditionhypo )
      | ( A @ conditionhyper ) ),
    inference(simp,[status(thm)],[234]) ).

thf(236,plain,
    ! [A: $i] :
      ( ~ ( A @ conditionhypo )
      | ( A @ conditionhyper ) ),
    inference(pattern_uni,[status(thm)],[235:[bind(A,$thf( A )),bind(B,$thf( A ))]]) ).

thf(12,axiom,
    ! [A: $i] :
      ( ( A @ bcapacitysn )
      | ( A @ bcapacityex )
      | ( A @ bcapacityne ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcapacity1) ).

thf(86,plain,
    ! [A: $i] :
      ( ( A @ bcapacitysn )
      | ( A @ bcapacityex )
      | ( A @ bcapacityne ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(228,plain,
    ! [A: $i] :
      ( ( ( n0 @ conditionnormo )
       != ( A @ conditionnormo ) )
      | ~ $true
      | ~ ( A @ conditionhyper ) ),
    inference(paramod_ordered,[status(thm)],[221,89]) ).

thf(229,plain,
    ! [A: $i] :
      ( ( ( n0 @ conditionnormo )
       != ( A @ conditionnormo ) )
      | ~ ( A @ conditionhyper ) ),
    inference(simp,[status(thm)],[228]) ).

thf(230,plain,
    ~ ( n0 @ conditionhyper ),
    inference(pattern_uni,[status(thm)],[229:[bind(A,$thf( n0 ))]]) ).

thf(243,plain,
    ! [A: $i] :
      ( ( ( n0 @ s1 )
       != ( A @ s1 ) )
      | ~ ( A @ s2 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[49,193]) ).

thf(244,plain,
    ! [A: $i] :
      ( ( ( n0 @ s1 )
       != ( A @ s1 ) )
      | ~ ( A @ s2 ) ),
    inference(simp,[status(thm)],[243]) ).

thf(245,plain,
    ~ ( n0 @ s2 ),
    inference(pattern_uni,[status(thm)],[244:[bind(A,$thf( n0 ))]]) ).

thf(40,axiom,
    ! [A: $i] :
      ( ( ~ ! [B: $i] :
              ( ~ ( B @ ( A @ gt ) )
             => ( B @ conditionnormo ) )
        & ( A @ s0 ) )
     => ? [B: $i] :
          ( ! [C: $i] :
              ( ( C @ ( B @ gt ) )
             => ( C @ conditionhyper ) )
          & ( B @ s1 )
          & ~ ( B @ ( A @ gt ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_ax1) ).

thf(208,plain,
    ! [A: $i] :
      ( ( ~ ! [B: $i] :
              ( ~ ( B @ ( A @ gt ) )
             => ( B @ conditionnormo ) )
        & ( A @ s0 ) )
     => ? [B: $i] :
          ( ! [C: $i] :
              ( ( C @ ( B @ gt ) )
             => ( C @ conditionhyper ) )
          & ( B @ s1 )
          & ~ ( B @ ( A @ gt ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(41,axiom,
    ! [A: $i] :
      ( ( A @ conditionnormo )
      | ( A @ conditionhypo )
      | ( A @ conditionhyper ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcondition1) ).

thf(213,plain,
    ! [A: $i] :
      ( ( A @ conditionnormo )
      | ( A @ conditionhypo )
      | ( A @ conditionhyper ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(11,axiom,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ( B @ ( A @ gt ) )
           => ( B @ conditionhyper ) )
        & ~ ( A @ qilt27 )
        & ( A @ bcapacitysn )
        & ! [B: $i] :
            ( ~ ( B @ ( A @ gt ) )
           => ~ ( B @ releaselg ) ) )
     => ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( B @ conditionnormo ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sn_cure_2) ).

thf(80,plain,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ( B @ ( A @ gt ) )
           => ( B @ conditionhyper ) )
        & ~ ( A @ qilt27 )
        & ( A @ bcapacitysn )
        & ! [B: $i] :
            ( ~ ( B @ ( A @ gt ) )
           => ~ ( B @ releaselg ) ) )
     => ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( B @ conditionnormo ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(48,plain,
    ~ ( n0 @ bcapacitysn ),
    inference(cnfConj,[status(thm)],[44]) ).

thf(8,axiom,
    ! [A: $i] :
      ( ( A @ s3 )
     => ( ( A @ drugi )
        | ( ( ( A @ drugbg )
            | ( A @ drugsu ) )
          & ( A @ drugi ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',step4) ).

thf(63,plain,
    ! [A: $i] :
      ( ( A @ s3 )
     => ( ( A @ drugi )
        | ( ( ( A @ drugbg )
            | ( A @ drugsu ) )
          & ( A @ drugi ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(24,axiom,
    ! [A: $i] :
      ( ( ~ ! [B: $i] :
              ( ~ ( B @ ( A @ gt ) )
             => ( B @ conditionnormo ) )
        & ( A @ s2 ) )
     => ? [B: $i] :
          ( ( B @ bcapacityex )
          & ! [C: $i] :
              ( ( C @ ( B @ gt ) )
             => ( C @ conditionhyper ) )
          & ( B @ s3 )
          & ~ ( B @ ( A @ gt ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_ax3) ).

thf(150,plain,
    ! [A: $i] :
      ( ( ~ ! [B: $i] :
              ( ~ ( B @ ( A @ gt ) )
             => ( B @ conditionnormo ) )
        & ( A @ s2 ) )
     => ? [B: $i] :
          ( ( B @ bcapacityex )
          & ! [C: $i] :
              ( ( C @ ( B @ gt ) )
             => ( C @ conditionhyper ) )
          & ( B @ s3 )
          & ~ ( B @ ( A @ gt ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(261,plain,
    ! [A: $i] :
      ( ( ( n0 @ s1 )
       != ( A @ s1 ) )
      | ~ ( A @ s3 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[49,197]) ).

thf(262,plain,
    ! [A: $i] :
      ( ( ( n0 @ s1 )
       != ( A @ s1 ) )
      | ~ ( A @ s3 ) ),
    inference(simp,[status(thm)],[261]) ).

thf(263,plain,
    ~ ( n0 @ s3 ),
    inference(pattern_uni,[status(thm)],[262:[bind(A,$thf( n0 ))]]) ).

thf(64,plain,
    ! [A: $i] :
      ( ( ( A @ drugi )
        | ( A @ drugbg )
        | ( A @ drugsu )
        | ~ ( A @ s3 ) )
      & ( ( A @ drugi )
        | ( A @ drugi )
        | ~ ( A @ s3 ) ) ),
    inference(cnf,[status(esa)],[63]) ).

thf(65,plain,
    ! [A: $i] :
      ( ( A @ drugi )
      | ( A @ drugi )
      | ~ ( A @ s3 ) ),
    inference(cnfConj,[status(thm)],[64]) ).

thf(67,plain,
    ! [A: $i] :
      ( ( A @ drugi )
      | ~ ( A @ s3 ) ),
    inference(simp,[status(thm)],[65]) ).

thf(18,axiom,
    ! [A: $i] :
      ( ( A @ s3 )
      | ( A @ s2 )
      | ( A @ s1 )
      | ( A @ s0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep1) ).

thf(127,plain,
    ! [A: $i] :
      ( ( A @ s3 )
      | ( A @ s2 )
      | ( A @ s1 )
      | ( A @ s0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(71,plain,
    ! [B: $i,A: $i] :
      ( ( ( B @ conditionnormo )
        | ( B @ ( A @ gt ) )
        | ~ ( A @ sk5 @ conditionhyper )
        | ~ ( A @ sk4 @ bsecretioni )
        | ~ ( A @ bcapacityne )
        | ( A @ sk1 ) )
      & ( ( B @ conditionnormo )
        | ( B @ ( A @ gt ) )
        | ( A @ sk5 @ ( A @ gt ) )
        | ~ ( A @ sk4 @ bsecretioni )
        | ~ ( A @ bcapacityne )
        | ( A @ sk1 ) )
      & ( ( B @ conditionnormo )
        | ( B @ ( A @ gt ) )
        | ~ ( A @ sk5 @ conditionhyper )
        | ~ ( A @ sk4 @ ( A @ gt ) )
        | ~ ( A @ bcapacityne )
        | ( A @ sk1 ) )
      & ( ( B @ conditionnormo )
        | ( B @ ( A @ gt ) )
        | ( A @ sk5 @ ( A @ gt ) )
        | ~ ( A @ sk4 @ ( A @ gt ) )
        | ~ ( A @ bcapacityne )
        | ( A @ sk1 ) )
      & ( ( B @ conditionnormo )
        | ( B @ ( A @ gt ) )
        | ~ ( A @ sk1 )
        | ~ ( A @ sk3 @ uptakepg ) )
      & ( ( B @ conditionnormo )
        | ( B @ ( A @ gt ) )
        | ~ ( A @ sk1 )
        | ~ ( A @ sk3 @ ( A @ gt ) ) )
      & ( ( B @ conditionnormo )
        | ( B @ ( A @ gt ) )
        | ~ ( A @ sk1 )
        | ( A @ sk2 @ releaselg ) )
      & ( ( B @ conditionnormo )
        | ( B @ ( A @ gt ) )
        | ~ ( A @ sk1 )
        | ~ ( A @ sk2 @ ( A @ gt ) ) ) ),
    inference(cnf,[status(esa)],[70]) ).

thf(72,plain,
    ! [B: $i,A: $i] :
      ( ( B @ conditionnormo )
      | ( B @ ( A @ gt ) )
      | ~ ( A @ sk1 )
      | ~ ( A @ sk2 @ ( A @ gt ) ) ),
    inference(cnfConj,[status(thm)],[71]) ).

thf(87,plain,
    ! [A: $i] :
      ( ( A @ bcapacitysn )
      | ( A @ bcapacityex )
      | ( A @ bcapacityne ) ),
    inference(cnf,[status(esa)],[86]) ).

thf(203,plain,
    ! [A: $i] :
      ( ~ ( A @ bcapacityex )
      | ~ ( A @ sk26 @ bsecretioni ) ),
    inference(cnfConj,[status(thm)],[199]) ).

thf(97,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( L @ conditionhyper )
        | ~ ( L @ ( A @ gt ) )
        | ~ ( A @ sk13 )
        | ~ ( A @ sk12 )
        | ~ ( A @ sk11 )
        | ~ ( A @ sk9 ) )
      & ( ( A @ bcapacityex )
        | ~ ( A @ sk13 )
        | ~ ( A @ sk12 )
        | ~ ( A @ sk11 )
        | ~ ( A @ sk9 ) )
      & ( ( K @ uptakepg )
        | ( K @ ( A @ gt ) )
        | ~ ( A @ sk13 )
        | ~ ( A @ sk12 )
        | ~ ( A @ sk11 )
        | ~ ( A @ sk9 ) )
      & ( ( J @ uptakelg )
        | ( J @ ( A @ gt ) )
        | ~ ( A @ sk13 )
        | ~ ( A @ sk12 )
        | ~ ( A @ sk11 )
        | ~ ( A @ sk9 ) )
      & ( ( A @ sk13 )
        | ( I @ conditionhyper )
        | ~ ( I @ ( A @ gt ) )
        | ~ ( A @ sk12 )
        | ~ ( A @ sk11 )
        | ~ ( A @ sk9 ) )
      & ( ( A @ sk13 )
        | ( H @ bsecretioni )
        | ( H @ ( A @ gt ) )
        | ~ ( A @ sk12 )
        | ~ ( A @ sk11 )
        | ~ ( A @ sk9 ) )
      & ( ( A @ sk13 )
        | ( A @ bcapacityne )
        | ~ ( A @ sk12 )
        | ~ ( A @ sk11 )
        | ~ ( A @ sk9 ) )
      & ( ( A @ sk13 )
        | ( G @ uptakepg )
        | ( G @ ( A @ gt ) )
        | ~ ( F @ releaselg )
        | ( F @ ( A @ gt ) )
        | ~ ( A @ sk12 )
        | ~ ( A @ sk11 )
        | ~ ( A @ sk9 ) )
      & ( ( A @ sk12 )
        | ( E @ conditionhyper )
        | ~ ( E @ ( A @ gt ) )
        | ~ ( A @ sk11 )
        | ~ ( A @ sk9 ) )
      & ( ( A @ sk12 )
        | ~ ( A @ qilt27 )
        | ~ ( A @ sk11 )
        | ~ ( A @ sk9 ) )
      & ( ( A @ sk12 )
        | ( A @ bcapacitysn )
        | ~ ( A @ sk11 )
        | ~ ( A @ sk9 ) )
      & ( ( A @ sk12 )
        | ~ ( D @ releaselg )
        | ( D @ ( A @ gt ) )
        | ~ ( A @ sk11 )
        | ~ ( A @ sk9 ) )
      & ( ( A @ sk11 )
        | ( C @ conditionhyper )
        | ~ ( C @ ( A @ gt ) )
        | ~ ( A @ sk9 ) )
      & ( ( A @ sk11 )
        | ( A @ qilt27 )
        | ~ ( A @ sk9 ) )
      & ( ( A @ sk11 )
        | ( A @ bcapacitysn )
        | ~ ( A @ sk9 ) )
      & ( ( A @ sk11 )
        | ( B @ bsecretioni )
        | ( B @ ( A @ gt ) )
        | ~ ( A @ sk9 ) )
      & ( ( A @ sk9 )
        | ~ ( A @ sk10 @ conditionnormo ) )
      & ( ( A @ sk9 )
        | ~ ( A @ sk10 @ ( A @ gt ) ) ) ),
    inference(cnf,[status(esa)],[96]) ).

thf(104,plain,
    ! [A: $i] :
      ( ( A @ sk9 )
      | ~ ( A @ sk10 @ conditionnormo ) ),
    inference(cnfConj,[status(thm)],[97]) ).

thf(15,axiom,
    ! [A: $i] :
      ( ( ( A @ qilt27 )
        & ( A @ s1 ) )
     => ( A @ drugsu ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',step1) ).

thf(94,plain,
    ! [A: $i] :
      ( ( ( A @ qilt27 )
        & ( A @ s1 ) )
     => ( A @ drugsu ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(237,plain,
    ! [A: $i] :
      ( ( ( n0 @ conditionnormo )
       != ( A @ conditionnormo ) )
      | ~ $true
      | ~ ( A @ conditionhypo ) ),
    inference(paramod_ordered,[status(thm)],[221,173]) ).

thf(238,plain,
    ! [A: $i] :
      ( ( ( n0 @ conditionnormo )
       != ( A @ conditionnormo ) )
      | ~ ( A @ conditionhypo ) ),
    inference(simp,[status(thm)],[237]) ).

thf(239,plain,
    ~ ( n0 @ conditionhypo ),
    inference(pattern_uni,[status(thm)],[238:[bind(A,$thf( n0 ))]]) ).

thf(240,plain,
    ! [A: $i] :
      ( ( ( n0 @ s1 )
       != ( A @ s1 ) )
      | ~ $true
      | ~ ( A @ s0 ) ),
    inference(paramod_ordered,[status(thm)],[49,191]) ).

thf(241,plain,
    ! [A: $i] :
      ( ( ( n0 @ s1 )
       != ( A @ s1 ) )
      | ~ ( A @ s0 ) ),
    inference(simp,[status(thm)],[240]) ).

thf(242,plain,
    ~ ( n0 @ s0 ),
    inference(pattern_uni,[status(thm)],[241:[bind(A,$thf( n0 ))]]) ).

thf(62,plain,
    ! [A: $i] :
      ( ( A @ drugsu )
      | ~ ( A @ s2 ) ),
    inference(cnfConj,[status(thm)],[60]) ).

thf(31,axiom,
    ! [A: $i] :
      ( ( ~ ! [B: $i] :
              ( ~ ( B @ ( A @ gt ) )
             => ( B @ conditionnormo ) )
        & ( A @ s1 ) )
     => ? [B: $i] :
          ( ( ( B @ bcapacityex )
            | ( B @ bcapacityne ) )
          & ! [C: $i] :
              ( ( C @ ( B @ gt ) )
             => ( C @ conditionhyper ) )
          & ( B @ s2 )
          & ~ ( B @ ( A @ gt ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_ax2) ).

thf(178,plain,
    ! [A: $i] :
      ( ( ~ ! [B: $i] :
              ( ~ ( B @ ( A @ gt ) )
             => ( B @ conditionnormo ) )
        & ( A @ s1 ) )
     => ? [B: $i] :
          ( ( ( B @ bcapacityex )
            | ( B @ bcapacityne ) )
          & ! [C: $i] :
              ( ( C @ ( B @ gt ) )
             => ( C @ conditionhyper ) )
          & ( B @ s2 )
          & ~ ( B @ ( A @ gt ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(14,axiom,
    ! [A: $i] :
      ( ( ~ ( A @ bcapacityex )
        & ! [B: $i] :
            ( ~ ( B @ ( A @ gt ) )
           => ( B @ drugsu ) ) )
     => ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( B @ bsecretioni ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sulfonylurea_effect) ).

thf(90,plain,
    ! [A: $i] :
      ( ( ~ ( A @ bcapacityex )
        & ! [B: $i] :
            ( ~ ( B @ ( A @ gt ) )
           => ( B @ drugsu ) ) )
     => ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( B @ bsecretioni ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(42,axiom,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ~ ( B @ releaselg ) )
     => ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( B @ drugbg ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bg_completion) ).

thf(215,plain,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ~ ( B @ releaselg ) )
     => ! [B: $i] :
          ( ~ ( B @ ( A @ gt ) )
         => ( B @ drugbg ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(10246,plain,
    $false,
    inference(e,[status(thm)],[56,174,164,201,205,194,55,58,69,138,88,52,184,125,196,46,57,147,61,221,89,206,160,70,192,137,165,197,224,156,53,193,96,173,129,166,148,45,191,59,204,54,49,236,86,172,230,245,208,213,198,135,80,48,63,150,263,50,67,127,72,43,87,203,104,146,51,190,94,239,242,68,62,178,90,215]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MED008+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/0.41  % Computer : n005.cluster.edu
% 0.14/0.41  % Model    : x86_64 x86_64
% 0.14/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41  % Memory   : 8046.5625MB
% 0.14/0.41  % OS       : Linux 6.8.0-71-generic
% 0.14/0.41  % CPULimit : 300
% 0.14/0.41  % WCLimit  : 300
% 0.14/0.41  % DateTime : Sat Sep 26 00:01:32 UTC 2026
% 0.14/0.41  % CPUTime  : 
% 0.14/0.41  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.96/1.19  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.62/1.53  % [INFO] 	 Parsing done (333ms). 
% 1.62/1.56  % [INFO] 	 Running in sequential loop mode. 
% 2.23/2.13  % [INFO] 	 eprover registered as external prover. 
% 2.23/2.14  % [INFO] 	 Scanning for conjecture ... 
% 2.46/2.29  % [INFO] 	 Found a conjecture (or negated_conjecture) and 40 axioms. Running axiom selection ... 
% 2.76/2.41  % [INFO] 	 Axiom selection finished. Selected 40 axioms (removed 0 axioms). 
% 2.94/2.53  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.94/2.54  % [INFO] 	 Type checking passed. 
% 2.94/2.55  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 38.71/9.36  % External prover 'e' found a proof!
% 38.71/9.36  % [INFO] 	 Killing All external provers ... 
% 38.71/9.36  % Time passed: 8765ms (effective reasoning time: 7797ms)
% 38.71/9.36  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 38.71/9.37  % Axioms used in derivation (40): insulin_completion, uptake_completion, transitivity_gt, step2, trans_ax2, xorcapacity1, sn_cure_2, step1, xorcondition1, xorstep4, sn_cure_1, bg_completion, xorcondition2, insulin_effect, xorcapacity2, ne_cure, xorstep2, xorstep6, xorcondition3, sucomp, normo, xorstep1, biguanide_effect, xorcondition4, xorcapacity4, trans_ax1, liver_glucose, xorstep5, step4, xorcapacity3, sulfonylurea_effect, insulincomp, irreflexivity_gt, trans_ax3, su_completion, xorstep3, bgcomp, ex_cure, xorstep7, step3
% 38.71/9.37  % No. of inferences in proof: 144
% 38.71/9.37  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 8765 ms resp. 7797 ms w/o parsing
% 33.61/9.49  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 33.61/9.49  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------