%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT034+2 : TPTP v9.3.1. Released v2.0.0.
% 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 : n008.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 08:00:40 AM UTC 2026
% Result : Theorem 5.19s 2.80s
% Output : Refutation 5.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 21
% Syntax : Number of formulae : 44 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 173 ( 5 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 749 ( 10 ~; 3 |; 76 &; 610 @)
% ( 3 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 4 con; 0-4 aty)
% Number of variables : 88 ( 0 ^; 88 !; 0 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
thf(environment_decl,type,
environment: $i > $o ).
thf(in_environment_decl,type,
in_environment: $i > $i > $o ).
thf(critical_point_decl,type,
critical_point: $i > $i ).
thf(greater_or_equal_decl,type,
greater_or_equal: $i > $i > $o ).
thf(appear_decl,type,
appear: $i > $i > $i ).
thf(efficient_producers_decl,type,
efficient_producers: $i ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(selection_favors_decl,type,
selection_favors: $i > $i > $i > $o ).
thf(first_movers_decl,type,
first_movers: $i ).
thf(subpopulations_decl,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(growth_rate_decl,type,
growth_rate: $i > $i > $i ).
thf(cardinality_at_time_decl,type,
cardinality_at_time: $i > $i > $i ).
thf(zero_decl,type,
zero: $i ).
thf(decreases_decl,type,
decreases: $i > $o ).
thf(difference_decl,type,
difference: $i > $i > $i ).
thf(founding_rate_decl,type,
founding_rate: $i > $i > $i ).
thf(disbanding_rate_decl,type,
disbanding_rate: $i > $i > $i ).
thf(start_time_decl,type,
start_time: $i > $i ).
thf(15,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( B @ growth_rate ) @ ( D @ ( C @ growth_rate ) @ greater ) )
& ( D @ ( A @ ( C @ ( B @ subpopulations ) ) ) )
& ( A @ environment ) )
=> ( D @ ( B @ ( C @ selection_favors ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates) ).
thf(69,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( B @ growth_rate ) @ ( D @ ( C @ growth_rate ) @ greater ) )
& ( D @ ( A @ ( C @ ( B @ subpopulations ) ) ) )
& ( A @ environment ) )
=> ( D @ ( B @ ( C @ selection_favors ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(9,axiom,
! [A: $i] :
( ( ~ ( A @ ( efficient_producers @ disbanding_rate ) @ ( A @ ( first_movers @ disbanding_rate ) @ difference ) @ decreases )
& ( A @ ( efficient_producers @ founding_rate ) @ ( A @ ( first_movers @ founding_rate ) @ difference ) @ decreases ) )
=> ( A @ ( efficient_producers @ growth_rate ) @ ( A @ ( first_movers @ growth_rate ) @ difference ) @ decreases ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_difference_between_founding_rates) ).
thf(56,plain,
! [A: $i] :
( ( ~ ( A @ ( efficient_producers @ disbanding_rate ) @ ( A @ ( first_movers @ disbanding_rate ) @ difference ) @ decreases )
& ( A @ ( efficient_producers @ founding_rate ) @ ( A @ ( first_movers @ founding_rate ) @ difference ) @ decreases ) )
=> ( A @ ( efficient_producers @ growth_rate ) @ ( A @ ( first_movers @ growth_rate ) @ difference ) @ decreases ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ greater_or_equal ) )
<=> ( ( A = B )
| ( B @ ( A @ greater ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal) ).
thf(46,plain,
! [A: $i,B: $i] :
( ( ( ( A = B )
| ( B @ ( A @ greater ) ) )
=> ( B @ ( A @ greater_or_equal ) ) )
& ( ( B @ ( A @ greater_or_equal ) )
=> ( ( A = B )
| ( B @ ( A @ greater ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
& ( A @ environment ) )
=> ~ ( B @ ( efficient_producers @ disbanding_rate ) @ ( B @ ( first_movers @ disbanding_rate ) @ difference ) @ decreases ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3) ).
thf(65,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
& ( A @ environment ) )
=> ~ ( B @ ( efficient_producers @ disbanding_rate ) @ ( B @ ( first_movers @ disbanding_rate ) @ difference ) @ decreases ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(17,axiom,
! [A: $i] :
( ( A @ ( efficient_producers @ growth_rate ) @ ( A @ ( first_movers @ growth_rate ) @ difference ) @ ( zero @ greater ) )
<=> ( A @ ( first_movers @ growth_rate ) @ ( A @ ( efficient_producers @ growth_rate ) @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_negative_growth_rate_difference) ).
thf(73,plain,
! [A: $i] :
( ( ( A @ ( first_movers @ growth_rate ) @ ( A @ ( efficient_producers @ growth_rate ) @ greater ) )
=> ( A @ ( efficient_producers @ growth_rate ) @ ( A @ ( first_movers @ growth_rate ) @ difference ) @ ( zero @ greater ) ) )
& ( ( A @ ( efficient_producers @ growth_rate ) @ ( A @ ( first_movers @ growth_rate ) @ difference ) @ ( zero @ greater ) )
=> ( A @ ( first_movers @ growth_rate ) @ ( A @ ( efficient_producers @ growth_rate ) @ greater ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( ( zero @ ( B @ ( efficient_producers @ cardinality_at_time ) @ greater ) )
& ( zero @ ( B @ ( first_movers @ cardinality_at_time ) @ greater ) )
& ( B @ ( A @ in_environment ) )
& ( A @ environment ) )
=> ( B @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contains_FM_and_EP) ).
thf(44,plain,
! [A: $i,B: $i] :
( ( ( zero @ ( B @ ( efficient_producers @ cardinality_at_time ) @ greater ) )
& ( zero @ ( B @ ( first_movers @ cardinality_at_time ) @ greater ) )
& ( B @ ( A @ in_environment ) )
& ( A @ environment ) )
=> ( B @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ greater_or_equal ) )
& ( B @ ( D @ greater_or_equal ) )
& ( C @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
& ( B @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
& ( A @ environment ) )
=> ( D @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a10) ).
thf(71,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ greater_or_equal ) )
& ( B @ ( D @ greater_or_equal ) )
& ( C @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
& ( B @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
& ( A @ environment ) )
=> ( D @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( ~ ( B @ ( efficient_producers @ growth_rate ) @ ( B @ ( first_movers @ growth_rate ) @ difference ) @ ( zero @ greater ) )
& ( B @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
& ( A @ environment ) )
=> ( zero @ ( B @ ( efficient_producers @ growth_rate ) @ ( B @ ( first_movers @ growth_rate ) @ difference ) @ greater_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_relationship_of_growth_rates) ).
thf(81,plain,
! [A: $i,B: $i] :
( ( ~ ( B @ ( efficient_producers @ growth_rate ) @ ( B @ ( first_movers @ growth_rate ) @ difference ) @ ( zero @ greater ) )
& ( B @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
& ( A @ environment ) )
=> ( zero @ ( B @ ( efficient_producers @ growth_rate ) @ ( B @ ( first_movers @ growth_rate ) @ difference ) @ greater_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(14,axiom,
! [A: $i] :
( ( A @ environment )
=> ( A @ start_time @ ( A @ ( first_movers @ appear ) @ greater_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_no_FM_before_opening) ).
thf(67,plain,
! [A: $i] :
( ( A @ environment )
=> ( A @ start_time @ ( A @ ( first_movers @ appear ) @ greater_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(22,axiom,
! [A: $i] :
( ( zero @ ( A @ ( efficient_producers @ growth_rate ) @ ( A @ ( first_movers @ growth_rate ) @ difference ) @ greater ) )
<=> ( A @ ( efficient_producers @ growth_rate ) @ ( A @ ( first_movers @ growth_rate ) @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_positive_growth_rate_difference) ).
thf(87,plain,
! [A: $i] :
( ( ( A @ ( efficient_producers @ growth_rate ) @ ( A @ ( first_movers @ growth_rate ) @ greater ) )
=> ( zero @ ( A @ ( efficient_producers @ growth_rate ) @ ( A @ ( first_movers @ growth_rate ) @ difference ) @ greater ) ) )
& ( ( zero @ ( A @ ( efficient_producers @ growth_rate ) @ ( A @ ( first_movers @ growth_rate ) @ difference ) @ greater ) )
=> ( A @ ( efficient_producers @ growth_rate ) @ ( A @ ( first_movers @ growth_rate ) @ greater ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(1,conjecture,
! [A: $i,B: $i] :
( ( ( B @ ( A @ critical_point @ greater ) )
& ( A @ ( efficient_producers @ appear ) @ ( B @ greater_or_equal ) )
& ( A @ critical_point @ ( A @ in_environment ) )
& ( A @ environment ) )
=> ( B @ ( efficient_producers @ ( first_movers @ selection_favors ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( B @ ( A @ critical_point @ greater ) )
& ( A @ ( efficient_producers @ appear ) @ ( B @ greater_or_equal ) )
& ( A @ critical_point @ ( A @ in_environment ) )
& ( A @ environment ) )
=> ( B @ ( efficient_producers @ ( first_movers @ selection_favors ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(23,plain,
~ ! [A: $i,B: $i] :
( ( ( B @ ( A @ critical_point @ greater ) )
& ( A @ ( efficient_producers @ appear ) @ ( B @ greater_or_equal ) )
& ( A @ critical_point @ ( A @ in_environment ) )
& ( A @ environment ) )
=> ( B @ ( efficient_producers @ ( first_movers @ selection_favors ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
& ( A @ environment ) )
=> ( A @ ( efficient_producers @ appear ) @ ( B @ greater_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_FM_and_EP_members_EP_appeared) ).
thf(58,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
& ( A @ environment ) )
=> ( A @ ( efficient_producers @ appear ) @ ( B @ greater_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
& ( A @ environment ) )
=> ( B @ ( A @ ( first_movers @ ( efficient_producers @ subpopulations ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations) ).
thf(79,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
& ( A @ environment ) )
=> ( B @ ( A @ ( first_movers @ ( efficient_producers @ subpopulations ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ greater ) )
& ( A @ ( efficient_producers @ appear ) @ ( B @ greater_or_equal ) )
& ( zero @ ( C @ ( efficient_producers @ growth_rate ) @ ( C @ ( first_movers @ growth_rate ) @ difference ) @ greater_or_equal ) )
& ( C @ ( A @ in_environment ) )
& ( A @ environment ) )
=> ( ( B @ ( efficient_producers @ growth_rate ) @ ( B @ ( first_movers @ growth_rate ) @ difference ) @ decreases )
=> ( zero @ ( B @ ( efficient_producers @ growth_rate ) @ ( B @ ( first_movers @ growth_rate ) @ difference ) @ greater ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_decreasing_function) ).
thf(62,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ greater ) )
& ( A @ ( efficient_producers @ appear ) @ ( B @ greater_or_equal ) )
& ( zero @ ( C @ ( efficient_producers @ growth_rate ) @ ( C @ ( first_movers @ growth_rate ) @ difference ) @ greater_or_equal ) )
& ( C @ ( A @ in_environment ) )
& ( A @ environment ) )
=> ( ( B @ ( efficient_producers @ growth_rate ) @ ( B @ ( first_movers @ growth_rate ) @ difference ) @ decreases )
=> ( zero @ ( B @ ( efficient_producers @ growth_rate ) @ ( B @ ( first_movers @ growth_rate ) @ difference ) @ greater ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(20,axiom,
! [A: $i] :
( ( ( A @ critical_point @ ( A @ in_environment ) )
& ( A @ environment ) )
=> ( A @ critical_point @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_point_means_FM_and_EP) ).
thf(83,plain,
! [A: $i] :
( ( ( A @ critical_point @ ( A @ in_environment ) )
& ( A @ environment ) )
=> ( A @ critical_point @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
& ( A @ environment ) )
=> ( B @ ( efficient_producers @ founding_rate ) @ ( B @ ( first_movers @ founding_rate ) @ difference ) @ decreases ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12) ).
thf(60,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
& ( A @ environment ) )
=> ( B @ ( efficient_producers @ founding_rate ) @ ( B @ ( first_movers @ founding_rate ) @ difference ) @ decreases ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(21,axiom,
! [A: $i] :
( ( A @ environment )
=> ( A @ start_time @ ( A @ in_environment ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_opening_time_in_duration) ).
thf(85,plain,
! [A: $i] :
( ( A @ environment )
=> ( A @ start_time @ ( A @ in_environment ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B @ ( D @ greater_or_equal ) )
& ( D @ ( C @ greater_or_equal ) )
& ( C @ ( A @ in_environment ) )
& ( B @ ( A @ in_environment ) )
& ( A @ environment ) )
=> ( D @ ( A @ in_environment ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_durations_are_time_intervals) ).
thf(32,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B @ ( D @ greater_or_equal ) )
& ( D @ ( C @ greater_or_equal ) )
& ( C @ ( A @ in_environment ) )
& ( B @ ( A @ in_environment ) )
& ( A @ environment ) )
=> ( D @ ( A @ in_environment ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
! [A: $i] :
( ( ( A @ ( efficient_producers @ appear ) @ ( A @ in_environment ) )
& ( A @ environment ) )
=> ( A @ ( efficient_producers @ appear ) @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_FM_and_EP_when_EP_appears) ).
thf(34,plain,
! [A: $i] :
( ( ( A @ ( efficient_producers @ appear ) @ ( A @ in_environment ) )
& ( A @ environment ) )
=> ( A @ ( efficient_producers @ appear ) @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( ( B
= ( A @ critical_point ) )
& ( A @ environment ) )
=> ( ! [C: $i] :
( ( ( B @ ( C @ greater ) )
& ( C @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) ) )
=> ( C @ ( first_movers @ growth_rate ) @ ( C @ ( efficient_producers @ growth_rate ) @ greater ) ) )
& ~ ( B @ ( first_movers @ growth_rate ) @ ( B @ ( efficient_producers @ growth_rate ) @ greater ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).
thf(36,plain,
! [A: $i,B: $i] :
( ( ( B
= ( A @ critical_point ) )
& ( A @ environment ) )
=> ( ! [C: $i] :
( ( ( B @ ( C @ greater ) )
& ( C @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) ) )
=> ( C @ ( first_movers @ growth_rate ) @ ( C @ ( efficient_producers @ growth_rate ) @ greater ) ) )
& ~ ( B @ ( first_movers @ growth_rate ) @ ( B @ ( efficient_producers @ growth_rate ) @ greater ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ critical_point @ greater ) )
& ( A @ ( efficient_producers @ appear ) @ ( B @ greater_or_equal ) )
& ( A @ critical_point @ ( A @ in_environment ) )
& ( A @ environment ) )
=> ( B @ ( A @ in_environment ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_time_points) ).
thf(30,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ critical_point @ greater ) )
& ( A @ ( efficient_producers @ appear ) @ ( B @ greater_or_equal ) )
& ( A @ critical_point @ ( A @ in_environment ) )
& ( A @ environment ) )
=> ( B @ ( A @ in_environment ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(99,plain,
$false,
inference(e,[status(thm)],[69,56,46,65,73,44,71,81,67,87,23,58,79,62,83,60,85,32,34,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT034+2 : TPTP v9.3.1. Released v2.0.0.
% 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
% 0.13/0.40 % Computer : n008.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sat Sep 26 00:06:26 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 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
% 0.87/0.99 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.44/1.22 % [INFO] Parsing done (219ms).
% 1.44/1.23 % [INFO] Running in sequential loop mode.
% 2.15/1.64 % [INFO] eprover registered as external prover.
% 2.15/1.64 % [INFO] Scanning for conjecture ...
% 2.37/1.76 % [INFO] Found a conjecture (or negated_conjecture) and 20 axioms. Running axiom selection ...
% 2.53/1.84 % [INFO] Axiom selection finished. Selected 20 axioms (removed 0 axioms).
% 2.79/1.90 % [INFO] Problem is first-order (TPTP FOF).
% 2.79/1.91 % [INFO] Type checking passed.
% 2.79/1.91 % [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 ...
% 5.19/2.80 % External prover 'e' found a proof!
% 5.19/2.80 % [INFO] Killing All external provers ...
% 5.19/2.80 % Time passed: 2244ms (effective reasoning time: 1561ms)
% 5.19/2.80 % 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)>
% 5.19/2.80 % Axioms used in derivation (20): l3, mp1_high_growth_rates, mp_critical_time_points, mp_contains_FM_and_EP, mp_difference_between_founding_rates, mp_opening_time_in_duration, mp_relationship_of_growth_rates, d1, mp_symmetry_of_subpopulations, mp_FM_and_EP_members_EP_appeared, mp_positive_growth_rate_difference, mp_decreasing_function, mp_negative_growth_rate_difference, mp_FM_and_EP_when_EP_appears, a10, mp_no_FM_before_opening, a12, mp_critical_point_means_FM_and_EP, mp_durations_are_time_intervals, mp_greater_or_equal
% 5.19/2.80 % No. of inferences in proof: 44
% 5.19/2.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2244 ms resp. 1561 ms w/o parsing
% 5.19/2.88 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.19/2.88 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------