%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MED002+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 : n026.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 08:00:26 AM UTC 2026
% Result : Theorem 10.30s 3.93s
% Output : Refutation 10.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 19
% Syntax : Number of formulae : 40 ( 3 unt; 0 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 : 0 ( 0 >; 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_decl,type,
gt: $i > $i > $o ).
thf(n0_decl,type,
n0: $i ).
thf(drugbg_decl,type,
drugbg: $i > $o ).
thf(drugsu_decl,type,
drugsu: $i > $o ).
thf(conditionhyper_decl,type,
conditionhyper: $i > $o ).
thf(bcapacityne_decl,type,
bcapacityne: $i > $o ).
thf(conditionnormo_decl,type,
conditionnormo: $i > $o ).
thf(bcapacityex_decl,type,
bcapacityex: $i > $o ).
thf(bcapacitysn_decl,type,
bcapacitysn: $i > $o ).
thf(releaselg_decl,type,
releaselg: $i > $o ).
thf(uptakepg_decl,type,
uptakepg: $i > $o ).
thf(bsecretioni_decl,type,
bsecretioni: $i > $o ).
thf(qilt27_decl,type,
qilt27: $i > $o ).
thf(uptakelg_decl,type,
uptakelg: $i > $o ).
thf(conditionhypo_decl,type,
conditionhypo: $i > $o ).
thf(drugi_decl,type,
drugi: $i > $o ).
thf(12,axiom,
! [A: $i] :
( ~ ( A @ conditionhypo )
| ~ ( A @ conditionhyper ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcondition2) ).
thf(69,plain,
! [A: $i] :
( ~ ( A @ conditionhypo )
| ~ ( A @ conditionhyper ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(5,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(42,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)],[5]) ).
thf(8,axiom,
! [A: $i] :
~ ( A @ ( A @ gt ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).
thf(52,plain,
! [A: $i] :
~ ( A @ ( A @ gt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(19,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(89,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)],[19]) ).
thf(17,axiom,
! [A: $i] :
( ~ ( A @ conditionnormo )
| ~ ( A @ conditionhypo ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcondition4) ).
thf(85,plain,
! [A: $i] :
( ~ ( A @ conditionnormo )
| ~ ( A @ conditionhypo ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(1,conjecture,
( ( ( n0 @ bcapacityne )
& ! [A: $i] :
( ( A @ ( n0 @ gt ) )
=> ( A @ conditionhyper ) )
& ! [A: $i] :
( ~ ( A @ ( n0 @ gt ) )
=> ( ( A @ drugsu )
& ( A @ drugbg ) ) ) )
=> ! [A: $i] :
( ~ ( A @ ( n0 @ gt ) )
=> ( A @ conditionnormo ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',treatmentne) ).
thf(2,negated_conjecture,
~ ( ( ( n0 @ bcapacityne )
& ! [A: $i] :
( ( A @ ( n0 @ gt ) )
=> ( A @ conditionhyper ) )
& ! [A: $i] :
( ~ ( A @ ( n0 @ gt ) )
=> ( ( A @ drugsu )
& ( A @ drugbg ) ) ) )
=> ! [A: $i] :
( ~ ( A @ ( n0 @ gt ) )
=> ( A @ conditionnormo ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(21,plain,
~ ( ( ( n0 @ bcapacityne )
& ! [A: $i] :
( ( A @ ( n0 @ gt ) )
=> ( A @ conditionhyper ) )
& ! [A: $i] :
( ~ ( A @ ( n0 @ gt ) )
=> ( ( A @ drugsu )
& ( A @ drugbg ) ) ) )
=> ! [A: $i] :
( ~ ( A @ ( n0 @ gt ) )
=> ( A @ conditionnormo ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(11,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(65,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)],[11]) ).
thf(14,axiom,
! [A: $i] :
( ~ ( A @ bcapacityex )
| ~ ( A @ bcapacityne ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcapacity2) ).
thf(77,plain,
! [A: $i] :
( ~ ( A @ bcapacityex )
| ~ ( A @ bcapacityne ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(4,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(32,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)],[4]) ).
thf(13,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(71,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)],[13]) ).
thf(7,axiom,
! [A: $i] :
( ~ ( A @ conditionnormo )
| ~ ( A @ conditionhyper ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcondition3) ).
thf(50,plain,
! [A: $i] :
( ~ ( A @ conditionnormo )
| ~ ( A @ conditionhyper ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(18,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(87,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ gt ) )
& ( B @ ( A @ gt ) ) )
=> ( C @ ( A @ gt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(9,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(55,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)],[9]) ).
thf(3,axiom,
! [A: $i] :
( ~ ( A @ bcapacitysn )
| ~ ( A @ bcapacityex ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcapacity4) ).
thf(30,plain,
! [A: $i] :
( ~ ( A @ bcapacitysn )
| ~ ( A @ bcapacityex ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(15,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(79,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)],[15]) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ~ ( B @ ( A @ gt ) )
=> ( ( B @ uptakelg )
=> ~ ( B @ releaselg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',liver_glucose) ).
thf(83,plain,
! [A: $i,B: $i] :
( ~ ( B @ ( A @ gt ) )
=> ( ( B @ uptakelg )
=> ~ ( B @ releaselg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ bcapacitysn )
| ( A @ bcapacityex )
| ( A @ bcapacityne ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcapacity1) ).
thf(48,plain,
! [A: $i] :
( ( A @ bcapacitysn )
| ( A @ bcapacityex )
| ( A @ bcapacityne ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(10,axiom,
! [A: $i] :
( ~ ( A @ bcapacitysn )
| ~ ( A @ bcapacityne ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcapacity3) ).
thf(63,plain,
! [A: $i] :
( ~ ( A @ bcapacitysn )
| ~ ( A @ bcapacityne ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(20,axiom,
! [A: $i] :
( ( A @ conditionnormo )
| ( A @ conditionhypo )
| ( A @ conditionhyper ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcondition1) ).
thf(95,plain,
! [A: $i] :
( ( A @ conditionnormo )
| ( A @ conditionhypo )
| ( A @ conditionhyper ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(384,plain,
$false,
inference(e,[status(thm)],[69,42,52,89,85,21,65,77,32,71,50,87,55,30,79,83,48,63,95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MED002+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.15/0.40 % Computer : n026.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sat Sep 26 00:04:25 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 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
% 1.34/1.20 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.69/1.49 % [INFO] Parsing done (285ms).
% 1.95/1.51 % [INFO] Running in sequential loop mode.
% 2.90/2.10 % [INFO] eprover registered as external prover.
% 2.90/2.11 % [INFO] Scanning for conjecture ...
% 3.24/2.22 % [INFO] Found a conjecture (or negated_conjecture) and 18 axioms. Running axiom selection ...
% 3.24/2.28 % [INFO] Axiom selection finished. Selected 18 axioms (removed 0 axioms).
% 3.48/2.32 % [INFO] Problem is first-order (TPTP FOF).
% 3.48/2.32 % [INFO] Type checking passed.
% 3.48/2.33 % [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 ...
% 10.30/3.92 % External prover 'e' found a proof!
% 10.30/3.93 % [INFO] Killing All external provers ...
% 10.30/3.93 % Time passed: 3334ms (effective reasoning time: 2409ms)
% 10.30/3.93 % 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)>
% 10.30/3.93 % 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
% 10.30/3.93 % No. of inferences in proof: 40
% 10.30/3.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3334 ms resp. 2409 ms w/o parsing
% 10.30/3.98 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.30/3.98 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------