TSTP Solution File: MED002+1 by Leo-III---1.7.10
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : MED002+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n027.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 : Tue May 7 07:57:17 EDT 2024
% Result : Theorem 3.72s 1.87s
% Output : Refutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 35
% Syntax : Number of formulae : 56 ( 3 unt; 16 typ; 0 def)
% Number of atoms : 177 ( 0 equ; 0 cnn)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 456 ( 82 ~; 24 |; 39 &; 237 @)
% ( 0 <=>; 74 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 16 usr; 2 con; 0-2 aty)
% Number of variables : 93 ( 0 ^ 93 !; 0 ?; 93 :)
% Comments :
%------------------------------------------------------------------------------
thf(gt_type,type,
gt: $i > $i > $o ).
thf(n0_type,type,
n0: $i ).
thf(drugbg_type,type,
drugbg: $i > $o ).
thf(drugsu_type,type,
drugsu: $i > $o ).
thf(conditionhyper_type,type,
conditionhyper: $i > $o ).
thf(bcapacityne_type,type,
bcapacityne: $i > $o ).
thf(conditionnormo_type,type,
conditionnormo: $i > $o ).
thf(bcapacityex_type,type,
bcapacityex: $i > $o ).
thf(bcapacitysn_type,type,
bcapacitysn: $i > $o ).
thf(releaselg_type,type,
releaselg: $i > $o ).
thf(uptakepg_type,type,
uptakepg: $i > $o ).
thf(bsecretioni_type,type,
bsecretioni: $i > $o ).
thf(qilt27_type,type,
qilt27: $i > $o ).
thf(uptakelg_type,type,
uptakelg: $i > $o ).
thf(conditionhypo_type,type,
conditionhypo: $i > $o ).
thf(drugi_type,type,
drugi: $i > $o ).
thf(9,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(52,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)],[9]) ).
thf(11,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(61,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)],[11]) ).
thf(1,conjecture,
( ( ! [A: $i] :
( ~ ( gt @ n0 @ A )
=> ( ( drugbg @ A )
& ( drugsu @ A ) ) )
& ! [A: $i] :
( ( gt @ n0 @ A )
=> ( conditionhyper @ A ) )
& ( bcapacityne @ n0 ) )
=> ! [A: $i] :
( ~ ( gt @ n0 @ A )
=> ( conditionnormo @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',treatmentne) ).
thf(2,negated_conjecture,
~ ( ( ! [A: $i] :
( ~ ( gt @ n0 @ A )
=> ( ( drugbg @ A )
& ( drugsu @ A ) ) )
& ! [A: $i] :
( ( gt @ n0 @ A )
=> ( conditionhyper @ A ) )
& ( bcapacityne @ n0 ) )
=> ! [A: $i] :
( ~ ( gt @ n0 @ A )
=> ( conditionnormo @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(21,plain,
~ ( ( ! [A: $i] :
( ~ ( gt @ n0 @ A )
=> ( ( drugbg @ A )
& ( drugsu @ A ) ) )
& ! [A: $i] :
( ( gt @ n0 @ A )
=> ( conditionhyper @ A ) )
& ( bcapacityne @ n0 ) )
=> ! [A: $i] :
( ~ ( gt @ n0 @ A )
=> ( conditionnormo @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,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(73,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)],[15]) ).
thf(10,axiom,
! [A: $i] :
( ~ ( bcapacityne @ A )
| ~ ( bcapacitysn @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcapacity3) ).
thf(59,plain,
! [A: $i] :
( ~ ( bcapacityne @ A )
| ~ ( bcapacitysn @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ~ ( gt @ A @ B )
=> ( ( uptakelg @ B )
=> ~ ( releaselg @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',liver_glucose) ).
thf(76,plain,
! [A: $i,B: $i] :
( ~ ( gt @ A @ B )
=> ( ( uptakelg @ B )
=> ~ ( releaselg @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(13,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(66,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)],[13]) ).
thf(18,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(80,plain,
! [A: $i,B: $i,C: $i] :
( ( ( gt @ A @ B )
& ( gt @ B @ C ) )
=> ( gt @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(4,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(31,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)],[4]) ).
thf(20,axiom,
! [A: $i] :
( ( conditionhyper @ A )
| ( conditionhypo @ A )
| ( conditionnormo @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcondition1) ).
thf(87,plain,
! [A: $i] :
( ( conditionhyper @ A )
| ( conditionhypo @ A )
| ( conditionnormo @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(5,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(40,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)],[5]) ).
thf(19,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(82,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)],[19]) ).
thf(7,axiom,
! [A: $i] :
( ~ ( conditionhyper @ A )
| ~ ( conditionnormo @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcondition3) ).
thf(47,plain,
! [A: $i] :
( ~ ( conditionhyper @ A )
| ~ ( conditionnormo @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(17,axiom,
! [A: $i] :
( ~ ( conditionhypo @ A )
| ~ ( conditionnormo @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcondition4) ).
thf(78,plain,
! [A: $i] :
( ~ ( conditionhypo @ A )
| ~ ( conditionnormo @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(3,axiom,
! [A: $i] :
( ~ ( bcapacityex @ A )
| ~ ( bcapacitysn @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcapacity4) ).
thf(29,plain,
! [A: $i] :
( ~ ( bcapacityex @ A )
| ~ ( bcapacitysn @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
! [A: $i] :
( ( bcapacityne @ A )
| ( bcapacityex @ A )
| ( bcapacitysn @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcapacity1) ).
thf(45,plain,
! [A: $i] :
( ( bcapacityne @ A )
| ( bcapacityex @ A )
| ( bcapacitysn @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(12,axiom,
! [A: $i] :
( ~ ( conditionhyper @ A )
| ~ ( conditionhypo @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcondition2) ).
thf(64,plain,
! [A: $i] :
( ~ ( conditionhyper @ A )
| ~ ( conditionhypo @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(14,axiom,
! [A: $i] :
( ~ ( bcapacityne @ A )
| ~ ( bcapacityex @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcapacity2) ).
thf(71,plain,
! [A: $i] :
( ~ ( bcapacityne @ A )
| ~ ( bcapacityex @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(8,axiom,
! [A: $i] :
~ ( gt @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
thf(49,plain,
! [A: $i] :
~ ( gt @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(89,plain,
$false,
inference(cvc4,[status(thm)],[52,61,21,73,59,76,66,80,31,87,40,82,47,78,29,45,64,71,49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : MED002+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.14 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n027.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 : Mon May 6 12:06:24 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.83/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.24/0.97 % [INFO] Parsing done (125ms).
% 1.24/0.98 % [INFO] Running in sequential loop mode.
% 1.74/1.20 % [INFO] eprover registered as external prover.
% 1.74/1.21 % [INFO] cvc4 registered as external prover.
% 1.74/1.21 % [INFO] Scanning for conjecture ...
% 2.01/1.27 % [INFO] Found a conjecture and 18 axioms. Running axiom selection ...
% 2.01/1.32 % [INFO] Axiom selection finished. Selected 18 axioms (removed 0 axioms).
% 2.01/1.35 % [INFO] Problem is first-order (TPTP FOF).
% 2.31/1.35 % [INFO] Type checking passed.
% 2.31/1.36 % [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 ...
% 3.56/1.87 % External prover 'cvc4' found a proof!
% 3.56/1.87 % [INFO] Killing All external provers ...
% 3.72/1.87 % Time passed: 1350ms (effective reasoning time: 887ms)
% 3.72/1.87 % 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)>
% 3.72/1.87 % Axioms used in derivation (18): ne_cure, transitivity_gt, xorcondition3, xorcapacity1, liver_glucose, sn_cure_2, xorcondition1, sn_cure_1, xorcondition2, irreflexivity_gt, insulin_effect, xorcapacity2, ex_cure, biguanide_effect, xorcondition4, xorcapacity4, xorcapacity3, sulfonylurea_effect
% 3.72/1.87 % No. of inferences in proof: 40
% 3.72/1.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1350 ms resp. 887 ms w/o parsing
% 3.72/1.92 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.72/1.92 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------