TSTP Solution File: MED009+1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MED009+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n009.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 8.62s 2.88s
% Output : Refutation 8.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 63
% Syntax : Number of formulae : 145 ( 11 unt; 22 typ; 0 def)
% Number of atoms : 513 ( 4 equ; 0 cnn)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 1268 ( 233 ~; 121 |; 108 &; 653 @)
% ( 0 <=>; 153 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 2 con; 0-2 aty)
% Number of variables : 231 ( 0 ^; 221 !; 10 ?; 231 :)
% 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(s2_type,type,
s2: $i > $o ).
thf(bcapacityne_type,type,
bcapacityne: $i > $o ).
thf(bcapacityex_type,type,
bcapacityex: $i > $o ).
thf(drugi_type,type,
drugi: $i > $o ).
thf(s3_type,type,
s3: $i > $o ).
thf(conditionhypo_type,type,
conditionhypo: $i > $o ).
thf(conditionnormo_type,type,
conditionnormo: $i > $o ).
thf(drugsu_type,type,
drugsu: $i > $o ).
thf(drugbg_type,type,
drugbg: $i > $o ).
thf(s0_type,type,
s0: $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(qillt27_type,type,
qillt27: $i > $o ).
thf(sk1_type,type,
sk1: $i > $i ).
thf(13,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(88,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)],[13]) ).
thf(41,axiom,
! [A: $i] :
( ( conditionhyper @ A )
| ( conditionhypo @ A )
| ( conditionnormo @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcondition1) ).
thf(201,plain,
! [A: $i] :
( ( conditionhyper @ A )
| ( conditionhypo @ A )
| ( conditionnormo @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(202,plain,
! [A: $i] :
( ( conditionhyper @ A )
| ( conditionhypo @ A )
| ( conditionnormo @ A ) ),
inference(cnf,[status(esa)],[201]) ).
thf(20,axiom,
! [A: $i] :
~ ( gt @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
thf(132,plain,
! [A: $i] :
~ ( gt @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(38,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(192,plain,
! [A: $i,B: $i,C: $i] :
( ( ( gt @ A @ B )
& ( gt @ B @ C ) )
=> ( gt @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(6,axiom,
! [A: $i] :
( ~ ( s0 @ A )
| ~ ( s3 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorstep4) ).
thf(64,plain,
! [A: $i] :
( ~ ( s0 @ A )
| ~ ( s3 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(65,plain,
! [A: $i] :
( ~ ( s0 @ A )
| ~ ( s3 @ A ) ),
inference(cnf,[status(esa)],[64]) ).
thf(133,plain,
~ ? [A: $i] : ( gt @ A @ A ),
inference(miniscope,[status(thm)],[132]) ).
thf(134,plain,
! [A: $i] :
~ ( gt @ A @ A ),
inference(cnf,[status(esa)],[133]) ).
thf(4,axiom,
! [A: $i] :
( ~ ( conditionhypo @ A )
| ~ ( conditionnormo @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcondition4) ).
thf(58,plain,
! [A: $i] :
( ~ ( conditionhypo @ A )
| ~ ( conditionnormo @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(59,plain,
! [A: $i] :
( ~ ( conditionhypo @ A )
| ~ ( conditionnormo @ A ) ),
inference(cnf,[status(esa)],[58]) ).
thf(1,conjecture,
( ( ( s1 @ n0 )
& ! [A: $i] :
( ( gt @ n0 @ A )
=> ( conditionhyper @ A ) )
& ~ ( bcapacitysn @ n0 )
& ~ ( qilt27 @ n0 ) )
=> ? [A: $i] :
( ~ ( gt @ n0 @ A )
& ( s2 @ A )
& ! [B: $i] :
( ( gt @ A @ B )
=> ( conditionhyper @ B ) )
& ( ( bcapacityne @ A )
| ( bcapacityex @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transs1s2_qige27) ).
thf(2,negated_conjecture,
~ ( ( ( s1 @ n0 )
& ! [A: $i] :
( ( gt @ n0 @ A )
=> ( conditionhyper @ A ) )
& ~ ( bcapacitysn @ n0 )
& ~ ( qilt27 @ n0 ) )
=> ? [A: $i] :
( ~ ( gt @ n0 @ A )
& ( s2 @ A )
& ! [B: $i] :
( ( gt @ A @ B )
=> ( conditionhyper @ B ) )
& ( ( bcapacityne @ A )
| ( bcapacityex @ 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 )
& ( s2 @ A )
& ! [B: $i] :
( ( gt @ A @ B )
=> ( conditionhyper @ B ) )
& ( ( bcapacityne @ A )
| ( bcapacityex @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(51,plain,
s1 @ n0,
inference(cnf,[status(esa)],[43]) ).
thf(33,axiom,
! [A: $i] :
( ~ ( s1 @ A )
| ~ ( s2 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorstep5) ).
thf(179,plain,
! [A: $i] :
( ~ ( s1 @ A )
| ~ ( s2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(180,plain,
! [A: $i] :
( ~ ( s1 @ A )
| ~ ( s2 @ A ) ),
inference(cnf,[status(esa)],[179]) ).
thf(304,plain,
! [A: $i] :
( ~ ( s2 @ A )
| ( ( s1 @ n0 )
!= ( s1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[51,180]) ).
thf(305,plain,
~ ( s2 @ n0 ),
inference(pattern_uni,[status(thm)],[304:[bind(A,$thf( n0 ))]]) ).
thf(16,axiom,
! [A: $i] :
( ~ ( s2 @ A )
| ~ ( s3 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorstep7) ).
thf(121,plain,
! [A: $i] :
( ~ ( s2 @ A )
| ~ ( s3 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(122,plain,
! [A: $i] :
( ~ ( s2 @ A )
| ~ ( s3 @ A ) ),
inference(cnf,[status(esa)],[121]) ).
thf(3,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)],[3]) ).
thf(22,axiom,
! [A: $i] :
( ~ ( bcapacityne @ A )
| ~ ( bcapacitysn @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcapacity3) ).
thf(142,plain,
! [A: $i] :
( ~ ( bcapacityne @ A )
| ~ ( bcapacitysn @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(45,plain,
! [A: $i] :
( ( gt @ n0 @ A )
| ~ ( s2 @ A )
| ~ ( conditionhyper @ ( sk1 @ A ) )
| ~ ( bcapacityex @ A ) ),
inference(cnf,[status(esa)],[43]) ).
thf(52,plain,
! [A: $i] :
( ( gt @ n0 @ A )
| ~ ( s2 @ A )
| ~ ( conditionhyper @ ( sk1 @ A ) )
| ~ ( bcapacityex @ A ) ),
inference(simp,[status(thm)],[45]) ).
thf(18,axiom,
! [A: $i] :
( ( s0 @ A )
| ( s1 @ A )
| ( s2 @ A )
| ( s3 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorstep1) ).
thf(125,plain,
! [A: $i] :
( ( s0 @ A )
| ( s1 @ A )
| ( s2 @ A )
| ( s3 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(27,axiom,
! [A: $i] :
( ~ ( conditionhyper @ A )
| ~ ( conditionhypo @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcondition2) ).
thf(157,plain,
! [A: $i] :
( ~ ( conditionhyper @ A )
| ~ ( conditionhypo @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(46,plain,
~ ( qilt27 @ n0 ),
inference(cnf,[status(esa)],[43]) ).
thf(15,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(93,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)],[15]) ).
thf(57,plain,
! [A: $i] :
( ~ ( drugi @ A )
| ( s3 @ A ) ),
inference(cnf,[status(esa)],[56]) ).
thf(34,axiom,
! [A: $i] :
( ~ ( s1 @ A )
| ~ ( s3 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorstep6) ).
thf(181,plain,
! [A: $i] :
( ~ ( s1 @ A )
| ~ ( s3 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(182,plain,
! [A: $i] :
( ~ ( s1 @ A )
| ~ ( s3 @ A ) ),
inference(cnf,[status(esa)],[181]) ).
thf(315,plain,
! [A: $i] :
( ~ ( s3 @ A )
| ( ( s1 @ n0 )
!= ( s1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[51,182]) ).
thf(316,plain,
~ ( s3 @ n0 ),
inference(pattern_uni,[status(thm)],[315:[bind(A,$thf( n0 ))]]) ).
thf(29,axiom,
! [A: $i] :
( ( drugsu @ A )
=> ( ( ( s1 @ A )
& ( qillt27 @ A ) )
| ( s2 @ A )
| ( s3 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sucomp) ).
thf(164,plain,
! [A: $i] :
( ( drugsu @ A )
=> ( ( ( s1 @ A )
& ( qillt27 @ A ) )
| ( s2 @ A )
| ( s3 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(11,axiom,
! [A: $i] :
( ( bcapacityne @ A )
| ( bcapacityex @ A )
| ( bcapacitysn @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcapacity1) ).
thf(84,plain,
! [A: $i] :
( ( bcapacityne @ A )
| ( bcapacityex @ A )
| ( bcapacitysn @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(5,axiom,
! [A: $i] :
( ( s3 @ A )
=> ( ( ( drugi @ A )
& ( ( drugsu @ A )
| ( drugbg @ A ) ) )
| ( drugi @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step4) ).
thf(60,plain,
! [A: $i] :
( ( s3 @ A )
=> ( ( ( drugi @ A )
& ( ( drugsu @ A )
| ( drugbg @ A ) ) )
| ( drugi @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(85,plain,
! [A: $i] :
( ( bcapacityne @ A )
| ( bcapacityex @ A )
| ( bcapacitysn @ A ) ),
inference(cnf,[status(esa)],[84]) ).
thf(36,axiom,
! [A: $i] :
( ~ ( bcapacityex @ A )
| ~ ( bcapacitysn @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcapacity4) ).
thf(188,plain,
! [A: $i] :
( ~ ( bcapacityex @ A )
| ~ ( bcapacitysn @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(44,plain,
! [A: $i] :
( ( gt @ n0 @ A )
| ~ ( s2 @ A )
| ( gt @ A @ ( sk1 @ A ) )
| ~ ( bcapacityne @ A ) ),
inference(cnf,[status(esa)],[43]) ).
thf(53,plain,
! [A: $i] :
( ( gt @ n0 @ A )
| ~ ( s2 @ A )
| ( gt @ A @ ( sk1 @ A ) )
| ~ ( bcapacityne @ A ) ),
inference(simp,[status(thm)],[44]) ).
thf(49,plain,
! [A: $i] :
( ( gt @ n0 @ A )
| ~ ( s2 @ A )
| ~ ( conditionhyper @ ( sk1 @ A ) )
| ~ ( bcapacityne @ A ) ),
inference(cnf,[status(esa)],[43]) ).
thf(54,plain,
! [A: $i] :
( ( gt @ n0 @ A )
| ~ ( s2 @ A )
| ~ ( conditionhyper @ ( sk1 @ A ) )
| ~ ( bcapacityne @ A ) ),
inference(simp,[status(thm)],[49]) ).
thf(23,axiom,
! [A: $i] :
( ( ( s1 @ A )
& ~ ( qilt27 @ A ) )
=> ( drugbg @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step2) ).
thf(144,plain,
! [A: $i] :
( ( ( s1 @ A )
& ~ ( qilt27 @ A ) )
=> ( drugbg @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(12,axiom,
! [A: $i] :
( ~ ( conditionhyper @ A )
| ~ ( conditionnormo @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcondition3) ).
thf(86,plain,
! [A: $i] :
( ~ ( conditionhyper @ A )
| ~ ( conditionnormo @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
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(159,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(31,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(172,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)],[31]) ).
thf(9,axiom,
! [A: $i] :
( ~ ( bcapacityne @ A )
| ~ ( bcapacityex @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcapacity2) ).
thf(80,plain,
! [A: $i] :
( ~ ( bcapacityne @ A )
| ~ ( bcapacityex @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(81,plain,
! [A: $i] :
( ~ ( bcapacityne @ A )
| ~ ( bcapacityex @ A ) ),
inference(cnf,[status(esa)],[80]) ).
thf(14,axiom,
! [A: $i] :
( ( ( s1 @ A )
& ( qilt27 @ A ) )
=> ( drugsu @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step1) ).
thf(91,plain,
! [A: $i] :
( ( ( s1 @ A )
& ( qilt27 @ A ) )
=> ( drugsu @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(7,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(66,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)],[7]) ).
thf(40,axiom,
! [A: $i] :
( ( s2 @ A )
=> ( ( drugbg @ A )
& ( drugsu @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step3) ).
thf(198,plain,
! [A: $i] :
( ( s2 @ A )
=> ( ( drugbg @ A )
& ( drugsu @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
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(135,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(30,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(167,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)],[30]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ~ ( gt @ A @ B )
=> ( ( uptakelg @ B )
=> ~ ( releaselg @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',liver_glucose) ).
thf(123,plain,
! [A: $i,B: $i] :
( ~ ( gt @ A @ B )
=> ( ( uptakelg @ B )
=> ~ ( releaselg @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(39,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(194,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)],[39]) ).
thf(62,plain,
! [A: $i] :
( ~ ( s3 @ A )
| ( drugi @ A )
| ( drugi @ A ) ),
inference(cnf,[status(esa)],[60]) ).
thf(63,plain,
! [A: $i] :
( ~ ( s3 @ A )
| ( drugi @ A ) ),
inference(simp,[status(thm)],[62]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ~ ( gt @ A @ B )
=> ( ~ ( releaselg @ B )
=> ( uptakelg @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uptake_completion) ).
thf(82,plain,
! [A: $i,B: $i] :
( ~ ( gt @ A @ B )
=> ( ~ ( releaselg @ B )
=> ( uptakelg @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(83,plain,
! [B: $i,A: $i] :
( ( gt @ A @ B )
| ( releaselg @ B )
| ( uptakelg @ B ) ),
inference(cnf,[status(esa)],[82]) ).
thf(278,plain,
! [C: $i,B: $i,A: $i] :
( ( releaselg @ B )
| ( uptakelg @ B )
| ( ( gt @ A @ B )
!= ( gt @ C @ C ) ) ),
inference(paramod_ordered,[status(thm)],[83,134]) ).
thf(279,plain,
! [A: $i] :
( ( releaselg @ A )
| ( uptakelg @ A ) ),
inference(pattern_uni,[status(thm)],[278:[bind(A,$thf( B )),bind(B,$thf( B )),bind(C,$thf( B ))]]) ).
thf(282,plain,
! [A: $i] :
( ( releaselg @ A )
| ( uptakelg @ A ) ),
inference(simp,[status(thm)],[279]) ).
thf(50,plain,
~ ( bcapacitysn @ n0 ),
inference(cnf,[status(esa)],[43]) ).
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(127,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(32,axiom,
! [A: $i] :
( ~ ( s0 @ A )
| ~ ( s1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorstep2) ).
thf(177,plain,
! [A: $i] :
( ~ ( s0 @ A )
| ~ ( s1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
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(154,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(143,plain,
! [A: $i] :
( ~ ( bcapacityne @ A )
| ~ ( bcapacitysn @ A ) ),
inference(cnf,[status(esa)],[142]) ).
thf(87,plain,
! [A: $i] :
( ~ ( conditionhyper @ A )
| ~ ( conditionnormo @ A ) ),
inference(cnf,[status(esa)],[86]) ).
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(203,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(158,plain,
! [A: $i] :
( ~ ( conditionhyper @ A )
| ~ ( conditionhypo @ A ) ),
inference(cnf,[status(esa)],[157]) ).
thf(48,plain,
! [A: $i] :
( ( gt @ n0 @ A )
| ~ ( s2 @ A )
| ( gt @ A @ ( sk1 @ A ) )
| ~ ( bcapacityex @ A ) ),
inference(cnf,[status(esa)],[43]) ).
thf(55,plain,
! [A: $i] :
( ( gt @ n0 @ A )
| ~ ( s2 @ A )
| ( gt @ A @ ( sk1 @ A ) )
| ~ ( bcapacityex @ A ) ),
inference(simp,[status(thm)],[48]) ).
thf(8,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(75,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)],[8]) ).
thf(25,axiom,
! [A: $i] :
( ( drugbg @ A )
=> ( ( ( s1 @ A )
& ~ ( qilt27 @ A ) )
| ( s2 @ A )
| ( s3 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bgcomp) ).
thf(151,plain,
! [A: $i] :
( ( drugbg @ A )
=> ( ( ( s1 @ A )
& ~ ( qilt27 @ A ) )
| ( s2 @ A )
| ( s3 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
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(146,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(37,axiom,
! [A: $i] :
( ~ ( s0 @ A )
| ~ ( s2 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorstep3) ).
thf(190,plain,
! [A: $i] :
( ~ ( s0 @ A )
| ~ ( s2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(35,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(183,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)],[35]) ).
thf(178,plain,
! [A: $i] :
( ~ ( s0 @ A )
| ~ ( s1 @ A ) ),
inference(cnf,[status(esa)],[177]) ).
thf(272,plain,
! [A: $i] :
( ~ ( s0 @ A )
| ( ( s1 @ n0 )
!= ( s1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[51,178]) ).
thf(273,plain,
~ ( s0 @ n0 ),
inference(pattern_uni,[status(thm)],[272:[bind(A,$thf( n0 ))]]) ).
thf(47,plain,
! [A: $i] :
( ~ ( gt @ n0 @ A )
| ( conditionhyper @ A ) ),
inference(cnf,[status(esa)],[43]) ).
thf(481,plain,
$false,
inference(cvc4,[status(thm)],[88,202,132,192,65,134,59,305,122,56,142,52,125,157,46,93,57,316,164,179,121,84,60,85,201,188,53,64,180,54,144,181,86,159,172,81,91,66,198,135,80,167,123,194,63,282,50,127,177,182,154,143,43,87,203,158,55,75,58,82,151,146,51,190,183,273,47,178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : MED009+1 : TPTP v8.1.2. Released v3.2.0.
% 0.16/0.16 % Command : run_Leo-III %s %d
% 0.17/0.38 % Computer : n009.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Thu May 18 16:27:33 EDT 2023
% 0.17/0.38 % CPUTime :
% 1.05/0.94 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.43/1.10 % [INFO] Parsing done (157ms).
% 1.43/1.10 % [INFO] Running in sequential loop mode.
% 1.85/1.32 % [INFO] eprover registered as external prover.
% 1.85/1.32 % [INFO] cvc4 registered as external prover.
% 1.85/1.33 % [INFO] Scanning for conjecture ...
% 2.15/1.40 % [INFO] Found a conjecture and 40 axioms. Running axiom selection ...
% 2.31/1.46 % [INFO] Axiom selection finished. Selected 40 axioms (removed 0 axioms).
% 2.42/1.51 % [INFO] Problem is first-order (TPTP FOF).
% 2.42/1.52 % [INFO] Type checking passed.
% 2.42/1.52 % [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 ...
% 8.62/2.87 % External prover 'cvc4' found a proof!
% 8.62/2.87 % [INFO] Killing All external provers ...
% 8.62/2.88 % Time passed: 2304ms (effective reasoning time: 1766ms)
% 8.62/2.88 % 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)>
% 8.62/2.88 % 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
% 8.62/2.88 % No. of inferences in proof: 123
% 8.62/2.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2304 ms resp. 1766 ms w/o parsing
% 8.62/2.93 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.62/2.94 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------