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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : MED010+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 : n017.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 42.79s 15.75s
% Output   : Refutation 35.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   46
% Syntax   : Number of formulae    :  146 (  17 unt;   0 typ;   5 def)
%            Number of atoms       :  646 (  19 equ;   0 cnn)
%            Maximal formula atoms :   40 (   4 avg)
%            Number of connectives : 1568 ( 297   ~; 191   |; 118   &; 804   @)
%                                         (   0 <=>; 158  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   30 (  27 usr;   3 con; 0-2 aty)
%            Number of variables   :  265 (   5   ^; 245   !;  10   ?; 265   :)
%                                         (   0  !>;   0  ?*;   0  @-;   5  @+)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(sk6_decl,type,
    sk6: $i > $i ).

thf(sk1_def,definition,
    ( sk1
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ ( A @ gt ) )
           => ( B @ conditionhyper ) ) ) ) ).

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

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

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

thf(sk6_def,definition,
    ( sk6
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ ( A @ gt ) )
           => ( B @ conditionhyper ) ) ) ) ).

thf(21,axiom,
    ! [A: $i] :
      ( ( A @ drugbg )
     => ( ( A @ s3 )
        | ( A @ s2 )
        | ( ~ ( A @ qilt27 )
          & ( A @ s1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bgcomp) ).

thf(138,plain,
    ! [A: $i] :
      ( ( A @ drugbg )
     => ( ( A @ s3 )
        | ( A @ s2 )
        | ( ~ ( A @ qilt27 )
          & ( A @ s1 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(34,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(185,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)],[34]) ).

thf(37,axiom,
    ! [A: $i] :
      ( ~ ( A @ s2 )
      | ~ ( A @ s0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep3) ).

thf(197,plain,
    ! [A: $i] :
      ( ~ ( A @ s2 )
      | ~ ( A @ s0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(19,axiom,
    ! [A: $i] :
      ~ ( A @ ( A @ gt ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).

thf(127,plain,
    ! [A: $i] :
      ~ ( A @ ( A @ gt ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(128,plain,
    ~ ? [A: $i] : ( A @ ( A @ gt ) ),
    inference(miniscope,[status(thm)],[127]) ).

thf(129,plain,
    ! [A: $i] :
      ~ ( A @ ( A @ gt ) ),
    inference(cnf,[status(esa)],[128]) ).

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(205,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(1,conjecture,
    ( ( ( n0 @ bcapacityex )
      & ! [A: $i] :
          ( ( A @ ( n0 @ gt ) )
         => ( A @ conditionhyper ) )
      & ( n0 @ s2 ) )
   => ? [A: $i] :
        ( ( A @ bcapacityex )
        & ! [B: $i] :
            ( ( B @ ( A @ gt ) )
           => ( B @ conditionhyper ) )
        & ( A @ s3 )
        & ~ ( A @ ( n0 @ gt ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unsuccesfuls2) ).

thf(2,negated_conjecture,
    ~ ( ( ( n0 @ bcapacityex )
        & ! [A: $i] :
            ( ( A @ ( n0 @ gt ) )
           => ( A @ conditionhyper ) )
        & ( n0 @ s2 ) )
     => ? [A: $i] :
          ( ( A @ bcapacityex )
          & ! [B: $i] :
              ( ( B @ ( A @ gt ) )
             => ( B @ conditionhyper ) )
          & ( A @ s3 )
          & ~ ( A @ ( n0 @ gt ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(43,plain,
    ~ ( ( ( n0 @ bcapacityex )
        & ! [A: $i] :
            ( ( A @ ( n0 @ gt ) )
           => ( A @ conditionhyper ) )
        & ( n0 @ s2 ) )
     => ? [A: $i] :
          ( ( A @ bcapacityex )
          & ! [B: $i] :
              ( ( B @ ( A @ gt ) )
             => ( B @ conditionhyper ) )
          & ( A @ s3 )
          & ~ ( A @ ( n0 @ gt ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(44,plain,
    ! [B: $i,A: $i] :
      ( ( ~ ( B @ bcapacityex )
        | ~ ( B @ sk1 @ conditionhyper )
        | ~ ( B @ s3 )
        | ( B @ ( n0 @ gt ) ) )
      & ( ~ ( B @ bcapacityex )
        | ( B @ sk1 @ ( B @ gt ) )
        | ~ ( B @ s3 )
        | ( B @ ( n0 @ gt ) ) )
      & ( n0 @ bcapacityex )
      & ( ( A @ conditionhyper )
        | ~ ( A @ ( n0 @ gt ) ) )
      & ( n0 @ s2 ) ),
    inference(cnf,[status(esa)],[43]) ).

thf(49,plain,
    n0 @ s2,
    inference(cnfConj,[status(thm)],[44]) ).

thf(32,axiom,
    ! [A: $i] :
      ( ~ ( A @ s2 )
      | ~ ( A @ s1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep5) ).

thf(181,plain,
    ! [A: $i] :
      ( ~ ( A @ s2 )
      | ~ ( A @ s1 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(182,plain,
    ! [A: $i] :
      ( ~ ( A @ s2 )
      | ~ ( A @ s1 ) ),
    inference(cnf,[status(esa)],[181]) ).

thf(272,plain,
    ! [A: $i] :
      ( ( ( n0 @ s2 )
       != ( A @ s2 ) )
      | ~ $true
      | ~ ( A @ s1 ) ),
    inference(paramod_ordered,[status(thm)],[49,182]) ).

thf(273,plain,
    ! [A: $i] :
      ( ( ( n0 @ s2 )
       != ( A @ s2 ) )
      | ~ ( A @ s1 ) ),
    inference(simp,[status(thm)],[272]) ).

thf(274,plain,
    ~ ( n0 @ s1 ),
    inference(pattern_uni,[status(thm)],[273:[bind(A,$thf( n0 ))]]) ).

thf(46,plain,
    ! [A: $i] :
      ( ~ ( A @ bcapacityex )
      | ~ ( A @ sk1 @ conditionhyper )
      | ~ ( A @ s3 )
      | ( A @ ( n0 @ gt ) ) ),
    inference(cnfConj,[status(thm)],[44]) ).

thf(50,plain,
    ! [A: $i] :
      ( ~ ( A @ bcapacityex )
      | ~ ( A @ sk1 @ conditionhyper )
      | ~ ( A @ s3 )
      | ( A @ ( n0 @ gt ) ) ),
    inference(simp,[status(thm)],[46]) ).

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

thf(229,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( n0 @ gt ) )
       != ( B @ ( n0 @ gt ) ) )
      | ( B @ conditionhyper )
      | ~ $true
      | ~ ( A @ bcapacityex )
      | ~ ( A @ sk1 @ conditionhyper )
      | ~ ( A @ s3 ) ),
    inference(paramod_ordered,[status(thm)],[50,47]) ).

thf(230,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( n0 @ gt ) )
       != ( B @ ( n0 @ gt ) ) )
      | ( B @ conditionhyper )
      | ~ ( A @ bcapacityex )
      | ~ ( A @ sk1 @ conditionhyper )
      | ~ ( A @ s3 ) ),
    inference(simp,[status(thm)],[229]) ).

thf(231,plain,
    ! [A: $i] :
      ( ( A @ conditionhyper )
      | ~ ( A @ bcapacityex )
      | ~ ( A @ sk1 @ conditionhyper )
      | ~ ( A @ s3 ) ),
    inference(pattern_uni,[status(thm)],[230:[bind(A,$thf( A )),bind(B,$thf( A ))]]) ).

thf(10,axiom,
    ! [A: $i] :
      ( ~ ( A @ bcapacityex )
      | ~ ( A @ bcapacityne ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcapacity2) ).

thf(78,plain,
    ! [A: $i] :
      ( ~ ( A @ bcapacityex )
      | ~ ( A @ bcapacityne ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(79,plain,
    ! [A: $i] :
      ( ~ ( A @ bcapacityex )
      | ~ ( A @ bcapacityne ) ),
    inference(cnf,[status(esa)],[78]) ).

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

thf(82,plain,
    ! [A: $i] :
      ( ( A @ bcapacitysn )
      | ( A @ bcapacityex )
      | ( A @ bcapacityne ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(83,plain,
    ! [A: $i] :
      ( ( A @ bcapacitysn )
      | ( A @ bcapacityex )
      | ( A @ bcapacityne ) ),
    inference(cnf,[status(esa)],[82]) ).

thf(28,axiom,
    ! [A: $i] :
      ( ( A @ s3 )
     => ( ( A @ drugi )
        | ( ( ( A @ drugbg )
            | ( A @ drugsu ) )
          & ( A @ drugi ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',step4) ).

thf(166,plain,
    ! [A: $i] :
      ( ( A @ s3 )
     => ( ( A @ drugi )
        | ( ( ( A @ drugbg )
            | ( A @ drugsu ) )
          & ( A @ drugi ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(167,plain,
    ! [A: $i] :
      ( ( ( A @ drugi )
        | ( A @ drugbg )
        | ( A @ drugsu )
        | ~ ( A @ s3 ) )
      & ( ( A @ drugi )
        | ( A @ drugi )
        | ~ ( A @ s3 ) ) ),
    inference(cnf,[status(esa)],[166]) ).

thf(168,plain,
    ! [A: $i] :
      ( ( A @ drugi )
      | ( A @ drugi )
      | ~ ( A @ s3 ) ),
    inference(cnfConj,[status(thm)],[167]) ).

thf(170,plain,
    ! [A: $i] :
      ( ( A @ drugi )
      | ~ ( A @ s3 ) ),
    inference(simp,[status(thm)],[168]) ).

thf(15,axiom,
    ! [A: $i] :
      ( ~ ( A @ s3 )
      | ~ ( A @ s2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep7) ).

thf(115,plain,
    ! [A: $i] :
      ( ~ ( A @ s3 )
      | ~ ( A @ s2 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(5,axiom,
    ! [A: $i] :
      ( ( ~ ( A @ qilt27 )
        & ( A @ s1 ) )
     => ( A @ drugbg ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',step2) ).

thf(56,plain,
    ! [A: $i] :
      ( ( ~ ( A @ qilt27 )
        & ( A @ s1 ) )
     => ( A @ drugbg ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(22,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(142,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)],[22]) ).

thf(3,axiom,
    ! [A: $i] :
      ( ( ( A @ qilt27 )
        & ( A @ s1 ) )
     => ( A @ drugsu ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',step1) ).

thf(52,plain,
    ! [A: $i] :
      ( ( ( A @ qilt27 )
        & ( A @ s1 ) )
     => ( A @ drugsu ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(33,axiom,
    ! [A: $i] :
      ( ~ ( A @ s3 )
      | ~ ( A @ s1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep6) ).

thf(183,plain,
    ! [A: $i] :
      ( ~ ( A @ s3 )
      | ~ ( A @ s1 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(184,plain,
    ! [A: $i] :
      ( ~ ( A @ s3 )
      | ~ ( A @ s1 ) ),
    inference(cnf,[status(esa)],[183]) ).

thf(57,plain,
    ! [A: $i] :
      ( ( A @ drugbg )
      | ( A @ qilt27 )
      | ~ ( A @ s1 ) ),
    inference(cnf,[status(esa)],[56]) ).

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(216,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(31,axiom,
    ! [A: $i] :
      ( ( A @ conditionnormo )
      | ( A @ conditionhypo )
      | ( A @ conditionhyper ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcondition1) ).

thf(179,plain,
    ! [A: $i] :
      ( ( A @ conditionnormo )
      | ( A @ conditionhypo )
      | ( A @ conditionhyper ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

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

thf(251,plain,
    ! [A: $i] :
      ( ( ( n0 @ bcapacityex )
       != ( A @ bcapacityex ) )
      | ~ $true
      | ~ ( A @ bcapacityne ) ),
    inference(paramod_ordered,[status(thm)],[45,79]) ).

thf(252,plain,
    ! [A: $i] :
      ( ( ( n0 @ bcapacityex )
       != ( A @ bcapacityex ) )
      | ~ ( A @ bcapacityne ) ),
    inference(simp,[status(thm)],[251]) ).

thf(253,plain,
    ~ ( n0 @ bcapacityne ),
    inference(pattern_uni,[status(thm)],[252:[bind(A,$thf( n0 ))]]) ).

thf(18,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(121,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)],[18]) ).

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

thf(84,plain,
    ! [A: $i] :
      ( ~ ( A @ conditionnormo )
      | ~ ( A @ conditionhyper ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(23,axiom,
    ! [A: $i] :
      ( ~ ( A @ conditionhypo )
      | ~ ( A @ conditionhyper ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcondition2) ).

thf(146,plain,
    ! [A: $i] :
      ( ~ ( A @ conditionhypo )
      | ~ ( A @ conditionhyper ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

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

thf(7,axiom,
    ! [A: $i] :
      ( ~ ( A @ s1 )
      | ~ ( A @ s0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep2) ).

thf(60,plain,
    ! [A: $i] :
      ( ~ ( A @ s1 )
      | ~ ( A @ s0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(61,plain,
    ! [A: $i] :
      ( ~ ( A @ s1 )
      | ~ ( A @ s0 ) ),
    inference(cnf,[status(esa)],[60]) ).

thf(116,plain,
    ! [A: $i] :
      ( ~ ( A @ s3 )
      | ~ ( A @ s2 ) ),
    inference(cnf,[status(esa)],[115]) ).

thf(85,plain,
    ! [A: $i] :
      ( ~ ( A @ conditionnormo )
      | ~ ( A @ conditionhyper ) ),
    inference(cnf,[status(esa)],[84]) ).

thf(16,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( B @ ( A @ gt ) )
     => ( ( B @ uptakelg )
       => ~ ( B @ releaselg ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',liver_glucose) ).

thf(117,plain,
    ! [A: $i,B: $i] :
      ( ~ ( B @ ( A @ gt ) )
     => ( ( B @ uptakelg )
       => ~ ( B @ releaselg ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(27,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(160,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)],[27]) ).

thf(35,axiom,
    ! [A: $i] :
      ( ~ ( A @ bcapacitysn )
      | ~ ( A @ bcapacityex ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcapacity4) ).

thf(191,plain,
    ! [A: $i] :
      ( ~ ( A @ bcapacitysn )
      | ~ ( A @ bcapacityex ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(192,plain,
    ! [A: $i] :
      ( ~ ( A @ bcapacitysn )
      | ~ ( A @ bcapacityex ) ),
    inference(cnf,[status(esa)],[191]) ).

thf(26,axiom,
    ! [A: $i] :
      ( ( A @ drugsu )
     => ( ( A @ s3 )
        | ( A @ s2 )
        | ( ( A @ qillt27 )
          & ( A @ s1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sucomp) ).

thf(156,plain,
    ! [A: $i] :
      ( ( A @ drugsu )
     => ( ( A @ s3 )
        | ( A @ s2 )
        | ( ( A @ qillt27 )
          & ( A @ s1 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(53,plain,
    ! [A: $i] :
      ( ( A @ drugsu )
      | ~ ( A @ qilt27 )
      | ~ ( A @ s1 ) ),
    inference(cnf,[status(esa)],[52]) ).

thf(254,plain,
    ! [A: $i] :
      ( ( ( n0 @ s2 )
       != ( A @ s2 ) )
      | ~ ( A @ s3 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[49,116]) ).

thf(255,plain,
    ! [A: $i] :
      ( ( ( n0 @ s2 )
       != ( A @ s2 ) )
      | ~ ( A @ s3 ) ),
    inference(simp,[status(thm)],[254]) ).

thf(256,plain,
    ~ ( n0 @ s3 ),
    inference(pattern_uni,[status(thm)],[255:[bind(A,$thf( n0 ))]]) ).

thf(36,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(193,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)],[36]) ).

thf(41,axiom,
    ! [A: $i] :
      ( ( A @ s2 )
     => ( ( A @ drugsu )
        & ( A @ drugbg ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',step3) ).

thf(212,plain,
    ! [A: $i] :
      ( ( A @ s2 )
     => ( ( A @ drugsu )
        & ( A @ drugbg ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(198,plain,
    ! [A: $i] :
      ( ~ ( A @ s2 )
      | ~ ( A @ s0 ) ),
    inference(cnf,[status(esa)],[197]) ).

thf(296,plain,
    ! [A: $i] :
      ( ( ( n0 @ s2 )
       != ( A @ s2 ) )
      | ~ $true
      | ~ ( A @ s0 ) ),
    inference(paramod_ordered,[status(thm)],[49,198]) ).

thf(297,plain,
    ! [A: $i] :
      ( ( ( n0 @ s2 )
       != ( A @ s2 ) )
      | ~ ( A @ s0 ) ),
    inference(simp,[status(thm)],[296]) ).

thf(298,plain,
    ~ ( n0 @ s0 ),
    inference(pattern_uni,[status(thm)],[297:[bind(A,$thf( n0 ))]]) ).

thf(24,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(148,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)],[24]) ).

thf(8,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(62,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)],[8]) ).

thf(63,plain,
    ! [B: $i,A: $i] :
      ( ( ( B @ conditionnormo )
        | ( B @ ( A @ gt ) )
        | ~ ( A @ sk6 @ conditionhyper )
        | ~ ( A @ sk5 @ bsecretioni )
        | ~ ( A @ bcapacityne )
        | ( A @ sk2 ) )
      & ( ( B @ conditionnormo )
        | ( B @ ( A @ gt ) )
        | ( A @ sk6 @ ( A @ gt ) )
        | ~ ( A @ sk5 @ bsecretioni )
        | ~ ( A @ bcapacityne )
        | ( A @ sk2 ) )
      & ( ( B @ conditionnormo )
        | ( B @ ( A @ gt ) )
        | ~ ( A @ sk6 @ conditionhyper )
        | ~ ( A @ sk5 @ ( A @ gt ) )
        | ~ ( A @ bcapacityne )
        | ( A @ sk2 ) )
      & ( ( B @ conditionnormo )
        | ( B @ ( A @ gt ) )
        | ( A @ sk6 @ ( A @ gt ) )
        | ~ ( A @ sk5 @ ( A @ gt ) )
        | ~ ( A @ bcapacityne )
        | ( A @ sk2 ) )
      & ( ( B @ conditionnormo )
        | ( B @ ( A @ gt ) )
        | ~ ( A @ sk2 )
        | ~ ( A @ sk4 @ uptakepg ) )
      & ( ( B @ conditionnormo )
        | ( B @ ( A @ gt ) )
        | ~ ( A @ sk2 )
        | ~ ( A @ sk4 @ ( A @ gt ) ) )
      & ( ( B @ conditionnormo )
        | ( B @ ( A @ gt ) )
        | ~ ( A @ sk2 )
        | ( A @ sk3 @ releaselg ) )
      & ( ( B @ conditionnormo )
        | ( B @ ( A @ gt ) )
        | ~ ( A @ sk2 )
        | ~ ( A @ sk3 @ ( A @ gt ) ) ) ),
    inference(cnf,[status(esa)],[62]) ).

thf(64,plain,
    ! [B: $i,A: $i] :
      ( ( B @ conditionnormo )
      | ( B @ ( A @ gt ) )
      | ~ ( A @ sk6 @ conditionhyper )
      | ~ ( A @ sk5 @ ( A @ gt ) )
      | ~ ( A @ bcapacityne )
      | ( A @ sk2 ) ),
    inference(cnfConj,[status(thm)],[63]) ).

thf(180,plain,
    ! [A: $i] :
      ( ( A @ conditionnormo )
      | ( A @ conditionhypo )
      | ( A @ conditionhyper ) ),
    inference(cnf,[status(esa)],[179]) ).

thf(6,axiom,
    ! [A: $i] :
      ( ~ ( A @ conditionnormo )
      | ~ ( A @ conditionhypo ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcondition4) ).

thf(58,plain,
    ! [A: $i] :
      ( ~ ( A @ conditionnormo )
      | ~ ( A @ conditionhypo ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(59,plain,
    ! [A: $i] :
      ( ~ ( A @ conditionnormo )
      | ~ ( A @ conditionhypo ) ),
    inference(cnf,[status(esa)],[58]) ).

thf(11,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( B @ ( A @ gt ) )
     => ( ~ ( B @ releaselg )
       => ( B @ uptakelg ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',uptake_completion) ).

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

thf(81,plain,
    ! [B: $i,A: $i] :
      ( ( B @ uptakelg )
      | ( B @ releaselg )
      | ( B @ ( A @ gt ) ) ),
    inference(cnf,[status(esa)],[80]) ).

thf(275,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ gt ) )
       != ( C @ ( C @ gt ) ) )
      | ~ $true
      | ( B @ uptakelg )
      | ( B @ releaselg ) ),
    inference(paramod_ordered,[status(thm)],[81,129]) ).

thf(276,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ gt ) )
       != ( C @ ( C @ gt ) ) )
      | ( B @ uptakelg )
      | ( B @ releaselg ) ),
    inference(simp,[status(thm)],[275]) ).

thf(277,plain,
    ! [A: $i] :
      ( ( A @ uptakelg )
      | ( A @ releaselg ) ),
    inference(pattern_uni,[status(thm)],[276:[bind(A,$thf( B )),bind(B,$thf( B )),bind(C,$thf( B ))]]) ).

thf(281,plain,
    ! [A: $i] :
      ( ( A @ uptakelg )
      | ( A @ releaselg ) ),
    inference(simp,[status(thm)],[277]) ).

thf(4,axiom,
    ! [A: $i] :
      ( ~ ( A @ bcapacitysn )
      | ~ ( A @ bcapacityne ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcapacity3) ).

thf(54,plain,
    ! [A: $i] :
      ( ~ ( A @ bcapacitysn )
      | ~ ( A @ bcapacityne ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(14,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(86,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)],[14]) ).

thf(25,axiom,
    ! [A: $i] :
      ( ( A @ drugi )
     => ( A @ s3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',insulincomp) ).

thf(154,plain,
    ! [A: $i] :
      ( ( A @ drugi )
     => ( A @ s3 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(155,plain,
    ! [A: $i] :
      ( ( A @ s3 )
      | ~ ( A @ drugi ) ),
    inference(cnf,[status(esa)],[154]) ).

thf(20,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(130,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)],[20]) ).

thf(38,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(199,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)],[38]) ).

thf(30,axiom,
    ! [A: $i] :
      ( ~ ( A @ s3 )
      | ~ ( A @ s0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep4) ).

thf(177,plain,
    ! [A: $i] :
      ( ~ ( A @ s3 )
      | ~ ( A @ s0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(9,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(72,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)],[9]) ).

thf(55,plain,
    ! [A: $i] :
      ( ~ ( A @ bcapacitysn )
      | ~ ( A @ bcapacityne ) ),
    inference(cnf,[status(esa)],[54]) ).

thf(29,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(171,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)],[29]) ).

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(207,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(213,plain,
    ! [A: $i] :
      ( ( ( A @ drugsu )
        | ~ ( A @ s2 ) )
      & ( ( A @ drugbg )
        | ~ ( A @ s2 ) ) ),
    inference(cnf,[status(esa)],[212]) ).

thf(214,plain,
    ! [A: $i] :
      ( ( A @ drugbg )
      | ~ ( A @ s2 ) ),
    inference(cnfConj,[status(thm)],[213]) ).

thf(288,plain,
    ! [A: $i] :
      ( ( ( n0 @ bcapacityex )
       != ( A @ bcapacityex ) )
      | ~ ( A @ bcapacitysn )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[45,192]) ).

thf(289,plain,
    ! [A: $i] :
      ( ( ( n0 @ bcapacityex )
       != ( A @ bcapacityex ) )
      | ~ ( A @ bcapacitysn ) ),
    inference(simp,[status(thm)],[288]) ).

thf(290,plain,
    ~ ( n0 @ bcapacitysn ),
    inference(pattern_uni,[status(thm)],[289:[bind(A,$thf( n0 ))]]) ).

thf(17,axiom,
    ! [A: $i] :
      ( ( A @ s3 )
      | ( A @ s2 )
      | ( A @ s1 )
      | ( A @ s0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep1) ).

thf(119,plain,
    ! [A: $i] :
      ( ( A @ s3 )
      | ( A @ s2 )
      | ( A @ s1 )
      | ( A @ s0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(48,plain,
    ! [A: $i] :
      ( ~ ( A @ bcapacityex )
      | ( A @ sk1 @ ( A @ gt ) )
      | ~ ( A @ s3 )
      | ( A @ ( n0 @ gt ) ) ),
    inference(cnfConj,[status(thm)],[44]) ).

thf(51,plain,
    ! [A: $i] :
      ( ~ ( A @ bcapacityex )
      | ( A @ sk1 @ ( A @ gt ) )
      | ~ ( A @ s3 )
      | ( A @ ( n0 @ gt ) ) ),
    inference(simp,[status(thm)],[48]) ).

thf(178,plain,
    ! [A: $i] :
      ( ~ ( A @ s3 )
      | ~ ( A @ s0 ) ),
    inference(cnf,[status(esa)],[177]) ).

thf(12478,plain,
    $false,
    inference(e,[status(thm)],[138,185,197,129,205,274,231,79,83,170,115,56,142,52,184,57,78,216,179,253,121,84,147,61,116,85,60,117,160,192,156,53,256,193,212,298,166,148,45,64,180,191,59,281,54,49,181,86,155,198,130,80,50,199,127,177,182,154,72,43,55,171,207,82,214,290,119,58,146,51,183,47,62,178]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MED010+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07  % 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
% 0.12/0.45  % Computer : n017.cluster.edu
% 0.12/0.45  % Model    : x86_64 x86_64
% 0.12/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.45  % Memory   : 8046.5625MB
% 0.12/0.45  % OS       : Linux 6.8.0-71-generic
% 0.12/0.45  % CPULimit : 300
% 0.12/0.45  % WCLimit  : 300
% 0.12/0.45  % DateTime : Fri Sep 25 23:57:17 UTC 2026
% 0.12/0.45  % CPUTime  : 
% 0.12/0.45  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
% 0.95/1.03  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.25/1.27  % [INFO] 	 Parsing done (238ms). 
% 1.25/1.29  % [INFO] 	 Running in sequential loop mode. 
% 2.02/1.69  % [INFO] 	 eprover registered as external prover. 
% 2.18/1.70  % [INFO] 	 Scanning for conjecture ... 
% 2.31/1.83  % [INFO] 	 Found a conjecture (or negated_conjecture) and 40 axioms. Running axiom selection ... 
% 2.47/1.94  % [INFO] 	 Axiom selection finished. Selected 40 axioms (removed 0 axioms). 
% 2.47/2.05  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.73/2.06  % [INFO] 	 Type checking passed. 
% 2.73/2.07  % [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 ... 
% 42.79/15.75  % External prover 'e' found a proof!
% 42.79/15.75  % [INFO] 	 Killing All external provers ... 
% 42.79/15.75  % Time passed: 15161ms (effective reasoning time: 14454ms)
% 42.79/15.75  % 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)>
% 42.79/15.75  % 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
% 42.79/15.75  % No. of inferences in proof: 141
% 42.79/15.75  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 15161 ms resp. 14454 ms w/o parsing
% 35.89/15.95  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 35.89/15.95  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------