TSTP Solution File: MED008+1 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : MED008+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 11:34:29 EDT 2023

% Result   : Theorem 4.66s 2.35s
% Output   : Refutation 5.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   62
% Syntax   : Number of formulae    :  105 (   3 unt;  21 typ;   0 def)
%            Number of atoms       :  402 (   0 equ;   0 cnn)
%            Maximal formula atoms :   30 (   4 avg)
%            Number of connectives : 1013 ( 178   ~;  66   |;  99   &; 517   @)
%                                         (   0 <=>; 153  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   21 (  21   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  21 usr;   2 con; 0-2 aty)
%            Number of variables   :  192 (   0   ^; 186   !;   6   ?; 192   :)

% Comments : 
%------------------------------------------------------------------------------
thf(s1_type,type,
    s1: $i > $o ).

thf(n0_type,type,
    n0: $i ).

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

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

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

thf(qilt27_type,type,
    qilt27: $i > $o ).

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

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

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

thf(s2_type,type,
    s2: $i > $o ).

thf(s3_type,type,
    s3: $i > $o ).

thf(s0_type,type,
    s0: $i > $o ).

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

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

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

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

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

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

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

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

thf(qillt27_type,type,
    qillt27: $i > $o ).

thf(15,axiom,
    ! [A: $i] :
      ( ( ( s1 @ A )
        & ( qilt27 @ A ) )
     => ( drugsu @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step1) ).

thf(88,plain,
    ! [A: $i] :
      ( ( ( s1 @ A )
        & ( qilt27 @ A ) )
     => ( drugsu @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(18,axiom,
    ! [A: $i] :
      ( ( s0 @ A )
      | ( s1 @ A )
      | ( s2 @ A )
      | ( s3 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorstep1) ).

thf(120,plain,
    ! [A: $i] :
      ( ( s0 @ A )
      | ( s1 @ A )
      | ( s2 @ A )
      | ( s3 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(6,axiom,
    ! [A: $i] :
      ( ( drugi @ A )
     => ( s3 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',insulincomp) ).

thf(56,plain,
    ! [A: $i] :
      ( ( drugi @ A )
     => ( s3 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(33,axiom,
    ! [A: $i] :
      ( ~ ( s0 @ A )
      | ~ ( s1 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorstep2) ).

thf(174,plain,
    ! [A: $i] :
      ( ~ ( s0 @ A )
      | ~ ( s1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(4,axiom,
    ! [A: $i] :
      ( ~ ( s2 @ A )
      | ~ ( s3 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorstep7) ).

thf(52,plain,
    ! [A: $i] :
      ( ~ ( s2 @ A )
      | ~ ( s3 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(31,axiom,
    ! [A: $i] :
      ( ( ( s1 @ A )
        & ~ ! [B: $i] :
              ( ~ ( gt @ A @ B )
             => ( conditionnormo @ B ) ) )
     => ? [B: $i] :
          ( ~ ( gt @ A @ B )
          & ( s2 @ B )
          & ! [C: $i] :
              ( ( gt @ B @ C )
             => ( conditionhyper @ C ) )
          & ( ( bcapacityne @ B )
            | ( bcapacityex @ B ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_ax2) ).

thf(164,plain,
    ! [A: $i] :
      ( ( ( s1 @ A )
        & ~ ! [B: $i] :
              ( ~ ( gt @ A @ B )
             => ( conditionnormo @ B ) ) )
     => ? [B: $i] :
          ( ~ ( gt @ A @ B )
          & ( s2 @ B )
          & ! [C: $i] :
              ( ( gt @ B @ C )
             => ( conditionhyper @ C ) )
          & ( ( bcapacityne @ B )
            | ( bcapacityex @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(8,axiom,
    ! [A: $i] :
      ( ( s3 @ A )
     => ( ( ( drugi @ A )
          & ( ( drugsu @ A )
            | ( drugbg @ A ) ) )
        | ( drugi @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step4) ).

thf(61,plain,
    ! [A: $i] :
      ( ( s3 @ A )
     => ( ( ( drugi @ A )
          & ( ( drugsu @ A )
            | ( drugbg @ A ) ) )
        | ( drugi @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(14,axiom,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ~ ( gt @ A @ B )
           => ( drugsu @ B ) )
        & ~ ( bcapacityex @ A ) )
     => ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( bsecretioni @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sulfonylurea_effect) ).

thf(85,plain,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ~ ( gt @ A @ B )
           => ( drugsu @ B ) )
        & ~ ( bcapacityex @ A ) )
     => ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( bsecretioni @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(22,axiom,
    ! [A: $i] :
      ( ~ ( bcapacityne @ A )
      | ~ ( bcapacitysn @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcapacity3) ).

thf(137,plain,
    ! [A: $i] :
      ( ~ ( bcapacityne @ A )
      | ~ ( bcapacitysn @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(21,axiom,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ~ ( gt @ A @ B )
           => ( uptakelg @ B ) )
        & ! [B: $i] :
            ( ~ ( gt @ A @ B )
           => ( uptakepg @ B ) )
        & ( bcapacityex @ A )
        & ! [B: $i] :
            ( ( gt @ A @ B )
           => ( conditionhyper @ B ) ) )
     => ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( ( conditionnormo @ B )
            | ( conditionhypo @ B ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ex_cure) ).

thf(130,plain,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ~ ( gt @ A @ B )
           => ( uptakelg @ B ) )
        & ! [B: $i] :
            ( ~ ( gt @ A @ B )
           => ( uptakepg @ B ) )
        & ( bcapacityex @ A )
        & ! [B: $i] :
            ( ( gt @ A @ B )
           => ( conditionhyper @ B ) ) )
     => ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( ( conditionnormo @ B )
            | ( conditionhypo @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(23,axiom,
    ! [A: $i] :
      ( ( ( s1 @ A )
        & ~ ( qilt27 @ A ) )
     => ( drugbg @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step2) ).

thf(139,plain,
    ! [A: $i] :
      ( ( ( s1 @ A )
        & ~ ( qilt27 @ A ) )
     => ( drugbg @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(7,axiom,
    ! [A: $i] :
      ( ( s2 @ A )
     => ( ( drugbg @ A )
        & ( drugsu @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step3) ).

thf(58,plain,
    ! [A: $i] :
      ( ( s2 @ A )
     => ( ( drugbg @ A )
        & ( drugsu @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(25,axiom,
    ! [A: $i] :
      ( ( drugbg @ A )
     => ( ( ( s1 @ A )
          & ~ ( qilt27 @ A ) )
        | ( s2 @ A )
        | ( s3 @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bgcomp) ).

thf(146,plain,
    ! [A: $i] :
      ( ( drugbg @ A )
     => ( ( ( s1 @ A )
          & ~ ( qilt27 @ A ) )
        | ( s2 @ A )
        | ( s3 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(41,axiom,
    ! [A: $i] :
      ( ( conditionhyper @ A )
      | ( conditionhypo @ A )
      | ( conditionnormo @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcondition1) ).

thf(195,plain,
    ! [A: $i] :
      ( ( conditionhyper @ A )
      | ( conditionhypo @ A )
      | ( conditionnormo @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(35,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( gt @ A @ B )
     => ( ~ ( releaselg @ B )
       => ( uptakelg @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uptake_completion) ).

thf(178,plain,
    ! [A: $i,B: $i] :
      ( ~ ( gt @ A @ B )
     => ( ~ ( releaselg @ B )
       => ( uptakelg @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(39,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( gt @ A @ B )
        & ( gt @ B @ C ) )
     => ( gt @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_gt) ).

thf(189,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( gt @ A @ B )
        & ( gt @ B @ C ) )
     => ( gt @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(27,axiom,
    ! [A: $i] :
      ( ~ ( conditionhyper @ A )
      | ~ ( conditionhypo @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcondition2) ).

thf(152,plain,
    ! [A: $i] :
      ( ~ ( conditionhyper @ A )
      | ~ ( conditionhypo @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(42,axiom,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ~ ( releaselg @ B ) )
     => ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( drugbg @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bg_completion) ).

thf(197,plain,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ~ ( releaselg @ B ) )
     => ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( drugbg @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(9,axiom,
    ! [A: $i] :
      ( ~ ( s0 @ A )
      | ~ ( s3 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorstep4) ).

thf(65,plain,
    ! [A: $i] :
      ( ~ ( s0 @ A )
      | ~ ( s3 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(32,axiom,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ~ ( gt @ A @ B )
           => ( bsecretioni @ B ) )
        & ( bcapacitysn @ A )
        & ( qilt27 @ A )
        & ! [B: $i] :
            ( ( gt @ A @ B )
           => ( conditionhyper @ B ) ) )
     => ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( conditionnormo @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sn_cure_1) ).

thf(169,plain,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ~ ( gt @ A @ B )
           => ( bsecretioni @ B ) )
        & ( bcapacitysn @ A )
        & ( qilt27 @ A )
        & ! [B: $i] :
            ( ( gt @ A @ B )
           => ( conditionhyper @ B ) ) )
     => ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( conditionnormo @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(24,axiom,
    ! [A: $i] :
      ( ( ( s2 @ A )
        & ~ ! [B: $i] :
              ( ~ ( gt @ A @ B )
             => ( conditionnormo @ B ) ) )
     => ? [B: $i] :
          ( ~ ( gt @ A @ B )
          & ( s3 @ B )
          & ! [C: $i] :
              ( ( gt @ B @ C )
             => ( conditionhyper @ C ) )
          & ( bcapacityex @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_ax3) ).

thf(141,plain,
    ! [A: $i] :
      ( ( ( s2 @ A )
        & ~ ! [B: $i] :
              ( ~ ( gt @ A @ B )
             => ( conditionnormo @ B ) ) )
     => ? [B: $i] :
          ( ~ ( gt @ A @ B )
          & ( s3 @ B )
          & ! [C: $i] :
              ( ( gt @ B @ C )
             => ( conditionhyper @ C ) )
          & ( bcapacityex @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(30,axiom,
    ! [A: $i] :
      ( ( drugsu @ A )
     => ( ( ( s1 @ A )
          & ( qillt27 @ A ) )
        | ( s2 @ A )
        | ( s3 @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sucomp) ).

thf(161,plain,
    ! [A: $i] :
      ( ( drugsu @ A )
     => ( ( ( s1 @ A )
          & ( qillt27 @ A ) )
        | ( s2 @ A )
        | ( s3 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(36,axiom,
    ! [A: $i] :
      ( ~ ( s1 @ A )
      | ~ ( s3 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorstep6) ).

thf(180,plain,
    ! [A: $i] :
      ( ~ ( s1 @ A )
      | ~ ( s3 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(26,axiom,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( drugbg @ B ) )
     => ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ~ ( releaselg @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',biguanide_effect) ).

thf(149,plain,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( drugbg @ B ) )
     => ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ~ ( releaselg @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(34,axiom,
    ! [A: $i] :
      ( ~ ( s1 @ A )
      | ~ ( s2 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorstep5) ).

thf(176,plain,
    ! [A: $i] :
      ( ~ ( s1 @ A )
      | ~ ( s2 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(40,axiom,
    ! [A: $i] :
      ( ( ( s0 @ A )
        & ~ ! [B: $i] :
              ( ~ ( gt @ A @ B )
             => ( conditionnormo @ B ) ) )
     => ? [B: $i] :
          ( ~ ( gt @ A @ B )
          & ( s1 @ B )
          & ! [C: $i] :
              ( ( gt @ B @ C )
             => ( conditionhyper @ C ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_ax1) ).

thf(191,plain,
    ! [A: $i] :
      ( ( ( s0 @ A )
        & ~ ! [B: $i] :
              ( ~ ( gt @ A @ B )
             => ( conditionnormo @ B ) ) )
     => ? [B: $i] :
          ( ~ ( gt @ A @ B )
          & ( s1 @ B )
          & ! [C: $i] :
              ( ( gt @ B @ C )
             => ( conditionhyper @ C ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(17,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( gt @ A @ B )
     => ( ( uptakelg @ B )
       => ~ ( releaselg @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',liver_glucose) ).

thf(118,plain,
    ! [A: $i,B: $i] :
      ( ~ ( gt @ A @ B )
     => ( ( uptakelg @ B )
       => ~ ( releaselg @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(5,axiom,
    ! [A: $i] :
      ( ~ ( s0 @ A )
      | ~ ( s2 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorstep3) ).

thf(54,plain,
    ! [A: $i] :
      ( ~ ( s0 @ A )
      | ~ ( s2 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(29,axiom,
    ! [A: $i] :
      ( ~ ( conditionhypo @ A )
      | ~ ( conditionnormo @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcondition4) ).

thf(159,plain,
    ! [A: $i] :
      ( ~ ( conditionhypo @ A )
      | ~ ( conditionnormo @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(38,axiom,
    ! [A: $i] :
      ( ~ ( bcapacityex @ A )
      | ~ ( bcapacitysn @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcapacity4) ).

thf(187,plain,
    ! [A: $i] :
      ( ~ ( bcapacityex @ A )
      | ~ ( bcapacitysn @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(12,axiom,
    ! [A: $i] :
      ( ( bcapacityne @ A )
      | ( bcapacityex @ A )
      | ( bcapacitysn @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcapacity1) ).

thf(81,plain,
    ! [A: $i] :
      ( ( bcapacityne @ A )
      | ( bcapacityex @ A )
      | ( bcapacitysn @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(11,axiom,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ~ ( gt @ A @ B )
           => ~ ( releaselg @ B ) )
        & ( bcapacitysn @ A )
        & ~ ( qilt27 @ A )
        & ! [B: $i] :
            ( ( gt @ A @ B )
           => ( conditionhyper @ B ) ) )
     => ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( conditionnormo @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sn_cure_2) ).

thf(76,plain,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ~ ( gt @ A @ B )
           => ~ ( releaselg @ B ) )
        & ( bcapacitysn @ A )
        & ~ ( qilt27 @ A )
        & ! [B: $i] :
            ( ( gt @ A @ B )
           => ( conditionhyper @ B ) ) )
     => ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( conditionnormo @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(3,axiom,
    ! [A: $i] :
      ( ~ ( bcapacityne @ A )
      | ~ ( bcapacityex @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcapacity2) ).

thf(50,plain,
    ! [A: $i] :
      ( ~ ( bcapacityne @ A )
      | ~ ( bcapacityex @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(10,axiom,
    ! [A: $i] :
      ( ( ( ! [B: $i] :
              ( ~ ( gt @ A @ B )
             => ~ ( releaselg @ B ) )
          | ! [B: $i] :
              ( ~ ( gt @ A @ B )
             => ( uptakepg @ B ) ) )
        & ( bcapacityne @ A )
        & ! [B: $i] :
            ( ~ ( gt @ A @ B )
           => ( bsecretioni @ B ) )
        & ! [B: $i] :
            ( ( gt @ A @ B )
           => ( conditionhyper @ B ) ) )
     => ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( conditionnormo @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ne_cure) ).

thf(67,plain,
    ! [A: $i] :
      ( ( ( ! [B: $i] :
              ( ~ ( gt @ A @ B )
             => ~ ( releaselg @ B ) )
          | ! [B: $i] :
              ( ~ ( gt @ A @ B )
             => ( uptakepg @ B ) ) )
        & ( bcapacityne @ A )
        & ! [B: $i] :
            ( ~ ( gt @ A @ B )
           => ( bsecretioni @ B ) )
        & ! [B: $i] :
            ( ( gt @ A @ B )
           => ( conditionhyper @ B ) ) )
     => ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( conditionnormo @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(37,axiom,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( bsecretioni @ B ) )
     => ( ! [B: $i] :
            ( ~ ( gt @ A @ B )
           => ( drugsu @ B ) )
        & ~ ( bcapacityex @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',su_completion) ).

thf(182,plain,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( bsecretioni @ B ) )
     => ( ! [B: $i] :
            ( ~ ( gt @ A @ B )
           => ( drugsu @ B ) )
        & ~ ( bcapacityex @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(20,axiom,
    ! [A: $i] :
      ~ ( gt @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).

thf(127,plain,
    ! [A: $i] :
      ~ ( gt @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(28,axiom,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( drugi @ B ) )
     => ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( ( uptakelg @ B )
            & ( uptakepg @ B ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',insulin_effect) ).

thf(154,plain,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( drugi @ B ) )
     => ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( ( uptakelg @ B )
            & ( uptakepg @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(1,conjecture,
    ( ( ( s1 @ n0 )
      & ! [A: $i] :
          ( ( gt @ n0 @ A )
         => ( conditionhyper @ A ) )
      & ~ ( bcapacitysn @ n0 )
      & ~ ( qilt27 @ n0 ) )
   => ~ ! [A: $i] :
          ( ~ ( gt @ n0 @ A )
         => ( conditionnormo @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unsuccessfuls1_qige27) ).

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

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

thf(16,axiom,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( conditionnormo @ B ) )
     => ( ( ! [B: $i] :
              ( ~ ( gt @ A @ B )
             => ( bsecretioni @ B ) )
          & ( bcapacitysn @ A )
          & ( qilt27 @ A )
          & ! [B: $i] :
              ( ( gt @ A @ B )
             => ( conditionhyper @ B ) ) )
        | ( ! [B: $i] :
              ( ~ ( gt @ A @ B )
             => ~ ( releaselg @ B ) )
          & ( bcapacitysn @ A )
          & ~ ( qilt27 @ A )
          & ! [B: $i] :
              ( ( gt @ A @ B )
             => ( conditionhyper @ B ) ) )
        | ( ( ! [B: $i] :
                ( ~ ( gt @ A @ B )
               => ~ ( releaselg @ B ) )
            | ! [B: $i] :
                ( ~ ( gt @ A @ B )
               => ( uptakepg @ B ) ) )
          & ( bcapacityne @ A )
          & ! [B: $i] :
              ( ~ ( gt @ A @ B )
             => ( bsecretioni @ B ) )
          & ! [B: $i] :
              ( ( gt @ A @ B )
             => ( conditionhyper @ B ) ) )
        | ( ! [B: $i] :
              ( ~ ( gt @ A @ B )
             => ( uptakelg @ B ) )
          & ! [B: $i] :
              ( ~ ( gt @ A @ B )
             => ( uptakepg @ B ) )
          & ( bcapacityex @ A )
          & ! [B: $i] :
              ( ( gt @ A @ B )
             => ( conditionhyper @ B ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normo) ).

thf(90,plain,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( conditionnormo @ B ) )
     => ( ( ! [B: $i] :
              ( ~ ( gt @ A @ B )
             => ( bsecretioni @ B ) )
          & ( bcapacitysn @ A )
          & ( qilt27 @ A )
          & ! [B: $i] :
              ( ( gt @ A @ B )
             => ( conditionhyper @ B ) ) )
        | ( ! [B: $i] :
              ( ~ ( gt @ A @ B )
             => ~ ( releaselg @ B ) )
          & ( bcapacitysn @ A )
          & ~ ( qilt27 @ A )
          & ! [B: $i] :
              ( ( gt @ A @ B )
             => ( conditionhyper @ B ) ) )
        | ( ( ! [B: $i] :
                ( ~ ( gt @ A @ B )
               => ~ ( releaselg @ B ) )
            | ! [B: $i] :
                ( ~ ( gt @ A @ B )
               => ( uptakepg @ B ) ) )
          & ( bcapacityne @ A )
          & ! [B: $i] :
              ( ~ ( gt @ A @ B )
             => ( bsecretioni @ B ) )
          & ! [B: $i] :
              ( ( gt @ A @ B )
             => ( conditionhyper @ B ) ) )
        | ( ! [B: $i] :
              ( ~ ( gt @ A @ B )
             => ( uptakelg @ B ) )
          & ! [B: $i] :
              ( ~ ( gt @ A @ B )
             => ( uptakepg @ B ) )
          & ( bcapacityex @ A )
          & ! [B: $i] :
              ( ( gt @ A @ B )
             => ( conditionhyper @ B ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(19,axiom,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ~ ( gt @ A @ B )
           => ( uptakelg @ B ) )
        | ! [B: $i] :
            ( ~ ( gt @ A @ B )
           => ( uptakepg @ B ) ) )
     => ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( drugi @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',insulin_completion) ).

thf(122,plain,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ~ ( gt @ A @ B )
           => ( uptakelg @ B ) )
        | ! [B: $i] :
            ( ~ ( gt @ A @ B )
           => ( uptakepg @ B ) ) )
     => ! [B: $i] :
          ( ~ ( gt @ A @ B )
         => ( drugi @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(13,axiom,
    ! [A: $i] :
      ( ~ ( conditionhyper @ A )
      | ~ ( conditionnormo @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcondition3) ).

thf(83,plain,
    ! [A: $i] :
      ( ~ ( conditionhyper @ A )
      | ~ ( conditionnormo @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(208,plain,
    $false,
    inference(cvc4,[status(thm)],[88,120,56,174,52,164,61,85,137,130,139,58,146,195,178,189,152,197,65,169,141,161,180,149,176,191,118,54,159,187,81,76,50,67,182,127,154,43,90,122,83]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : MED008+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15  % Command  : run_Leo-III %s %d
% 0.14/0.36  % Computer : n016.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May 18 16:59:42 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.95/0.89  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.29/1.05  % [INFO] 	 Parsing done (160ms). 
% 1.29/1.06  % [INFO] 	 Running in sequential loop mode. 
% 1.80/1.29  % [INFO] 	 eprover registered as external prover. 
% 1.80/1.29  % [INFO] 	 cvc4 registered as external prover. 
% 1.80/1.29  % [INFO] 	 Scanning for conjecture ... 
% 2.06/1.36  % [INFO] 	 Found a conjecture and 40 axioms. Running axiom selection ... 
% 2.24/1.42  % [INFO] 	 Axiom selection finished. Selected 40 axioms (removed 0 axioms). 
% 2.49/1.51  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.49/1.52  % [INFO] 	 Type checking passed. 
% 2.49/1.52  % [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 ... 
% 4.66/2.34  % External prover 'cvc4' found a proof!
% 4.66/2.34  % [INFO] 	 Killing All external provers ... 
% 4.66/2.34  % Time passed: 1826ms (effective reasoning time: 1281ms)
% 4.66/2.34  % 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)>
% 4.66/2.34  % 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
% 4.66/2.34  % No. of inferences in proof: 84
% 4.66/2.35  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1826 ms resp. 1281 ms w/o parsing
% 5.16/2.39  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.16/2.39  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------