%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT039-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n016.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 08:00:42 AM UTC 2026
% Result : Unsatisfiable 28.55s 27.44s
% Output : Refutation 29.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 28
% Syntax : Number of formulae : 125 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 477 ( 58 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1674 ( 324 ~; 330 |; 0 &;1020 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 22 usr; 6 con; 0-4 aty)
% Number of variables : 243 ( 0 ^; 243 !; 0 ?; 243 :)
% Comments :
%------------------------------------------------------------------------------
thf(observational_period_decl,type,
observational_period: $i > $o ).
thf(sk3_decl,type,
sk3: $i ).
thf(slow_change_decl,type,
slow_change: $i > $o ).
thf(selection_favors_decl,type,
selection_favors: $i > $i > $i > $o ).
thf(efficient_producers_decl,type,
efficient_producers: $i ).
thf(first_movers_decl,type,
first_movers: $i ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(greater_or_equal_decl,type,
greater_or_equal: $i > $i > $o ).
thf(environment_decl,type,
environment: $i > $o ).
thf(start_time_decl,type,
start_time: $i > $i ).
thf(end_time_decl,type,
end_time: $i > $i ).
thf(in_environment_decl,type,
in_environment: $i > $i > $o ).
thf(critical_point_decl,type,
critical_point: $i > $i ).
thf(cardinality_at_time_decl,type,
cardinality_at_time: $i > $i > $i ).
thf(zero_decl,type,
zero: $i ).
thf(subpopulations_decl,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(propagation_strategy_decl,type,
propagation_strategy: $i > $o ).
thf(sk1_decl,type,
sk1: $i > $i ).
thf(subpopulation_decl,type,
subpopulation: $i > $i > $i > $o ).
thf(growth_rate_decl,type,
growth_rate: $i > $i > $i ).
thf(appear_decl,type,
appear: $i > $i > $i ).
thf(sk2_decl,type,
sk2: $i > $i > $i ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_52) ).
thf(43,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(44,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(cnf,[status(esa)],[43]) ).
thf(45,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[44]) ).
thf(3,negated_conjecture,
~ ( sk3 @ ( first_movers @ ( efficient_producers @ selection_favors ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_60) ).
thf(31,plain,
~ ( sk3 @ ( first_movers @ ( efficient_producers @ selection_favors ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(32,plain,
~ ( sk3 @ ( first_movers @ ( efficient_producers @ selection_favors ) ) ),
inference(polarity_switch,[status(thm)],[31]) ).
thf(307,plain,
! [B: $i,A: $i] :
( ( B != first_movers )
| ~ ( sk3 @ ( A @ ( efficient_producers @ selection_favors ) ) )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[45,32]) ).
thf(308,plain,
! [A: $i] :
( ~ ( sk3 @ ( A @ ( efficient_producers @ selection_favors ) ) )
| ( first_movers @ ( A @ greater ) )
| ~ ( first_movers @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[307:[bind(A,$thf( A )),bind(B,$thf( first_movers ))]]) ).
thf(14,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( D @ ( B @ selection_favors ) ) )
| ( ( C @ ( D @ cardinality_at_time ) )
!= zero )
| ~ ( zero @ ( C @ ( B @ cardinality_at_time ) @ greater ) )
| ~ ( C @ ( A @ ( D @ subpopulation ) ) )
| ~ ( C @ ( A @ ( B @ subpopulation ) ) )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2_favour_members_34) ).
thf(56,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( D @ ( B @ selection_favors ) ) )
| ( ( C @ ( D @ cardinality_at_time ) )
!= zero )
| ~ ( zero @ ( C @ ( B @ cardinality_at_time ) @ greater ) )
| ~ ( C @ ( A @ ( D @ subpopulation ) ) )
| ~ ( C @ ( A @ ( B @ subpopulation ) ) )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
| ~ ( zero @ ( B @ ( efficient_producers @ cardinality_at_time ) @ greater ) )
| ~ ( zero @ ( B @ ( first_movers @ cardinality_at_time ) @ greater ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contains_FM_and_EP_44) ).
thf(52,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
| ~ ( zero @ ( B @ ( efficient_producers @ cardinality_at_time ) @ greater ) )
| ~ ( zero @ ( B @ ( first_movers @ cardinality_at_time ) @ greater ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(16,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( first_movers @ growth_rate ) @ ( B @ ( efficient_producers @ growth_rate ) @ greater ) )
| ( B
!= ( A @ critical_point ) )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_55) ).
thf(61,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( first_movers @ growth_rate ) @ ( B @ ( efficient_producers @ growth_rate ) @ greater ) )
| ( B
!= ( A @ critical_point ) )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(17,axiom,
! [B: $i,A: $i] :
( ( zero @ ( B @ ( first_movers @ cardinality_at_time ) @ greater_or_equal ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_exist_45) ).
thf(65,plain,
! [B: $i,A: $i] :
( ( zero @ ( B @ ( first_movers @ cardinality_at_time ) @ greater_or_equal ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(53,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
| ~ ( zero @ ( B @ ( efficient_producers @ cardinality_at_time ) @ greater ) )
| ~ ( zero @ ( B @ ( first_movers @ cardinality_at_time ) @ greater ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
inference(cnf,[status(esa)],[52]) ).
thf(23,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ ( first_movers @ subpopulation ) ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations_46) ).
thf(77,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( first_movers @ subpopulation ) ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(2,negated_conjecture,
sk3 @ slow_change,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_59) ).
thf(30,plain,
sk3 @ slow_change,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(374,plain,
! [B: $i,A: $i] :
( ( A != sk3 )
| ( B @ slow_change )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[45,30]) ).
thf(375,plain,
! [A: $i] :
( ( A @ slow_change )
| ( A @ ( sk3 @ greater ) )
| ~ ( A @ ( sk3 @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[374:[bind(A,$thf( sk3 ))]]) ).
thf(503,plain,
! [A: $i] :
( ( A @ slow_change )
| ( A @ ( sk3 @ greater ) )
| ~ ( A @ ( sk3 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[375]) ).
thf(21,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ sk2 ) @ ( B @ in_environment ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( B @ environment )
| ~ ( A @ slow_change )
| ~ ( A @ observational_period ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point_38) ).
thf(73,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ sk2 ) @ ( B @ in_environment ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( B @ environment )
| ~ ( A @ slow_change )
| ~ ( A @ observational_period ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(15,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ ( efficient_producers @ subpopulation ) ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations_47) ).
thf(59,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( efficient_producers @ subpopulation ) ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(66,plain,
! [B: $i,A: $i] :
( ( zero @ ( B @ ( first_movers @ cardinality_at_time ) @ greater_or_equal ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
inference(cnf,[status(esa)],[65]) ).
thf(1,negated_conjecture,
sk3 @ observational_period,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_58) ).
thf(29,plain,
sk3 @ observational_period,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(254,plain,
! [B: $i,A: $i] :
( ( B != sk3 )
| ( A @ observational_period )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[45,29]) ).
thf(255,plain,
! [A: $i] :
( ( A @ observational_period )
| ( sk3 @ ( A @ greater ) )
| ~ ( sk3 @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[254:[bind(A,$thf( A )),bind(B,$thf( sk3 ))]]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ end_time @ greater_or_equal ) )
| ( A @ end_time @ ( B @ greater ) )
| ~ ( A @ start_time @ ( B @ greater ) )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_beginning_and_ending_51) ).
thf(48,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ end_time @ greater_or_equal ) )
| ( A @ end_time @ ( B @ greater ) )
| ~ ( A @ start_time @ ( B @ greater ) )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(24,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( B @ ( C @ selection_favors ) ) )
| ~ ( D @ ( B @ growth_rate ) @ ( D @ ( C @ growth_rate ) @ greater ) )
| ~ ( D @ ( A @ ( C @ ( B @ subpopulations ) ) ) )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates_33) ).
thf(79,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( B @ ( C @ selection_favors ) ) )
| ~ ( D @ ( B @ growth_rate ) @ ( D @ ( C @ growth_rate ) @ greater ) )
| ~ ( D @ ( A @ ( C @ ( B @ subpopulations ) ) ) )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(25,axiom,
efficient_producers @ propagation_strategy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets2_41) ).
thf(81,plain,
efficient_producers @ propagation_strategy,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(364,plain,
! [B: $i,A: $i] :
( ( B != efficient_producers )
| ( A @ propagation_strategy )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[45,81]) ).
thf(365,plain,
! [A: $i] :
( ( A @ propagation_strategy )
| ( efficient_producers @ ( A @ greater ) )
| ~ ( efficient_producers @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[364:[bind(A,$thf( A )),bind(B,$thf( efficient_producers ))]]) ).
thf(28,axiom,
first_movers @ propagation_strategy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets1_40) ).
thf(88,plain,
first_movers @ propagation_strategy,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(6,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_50) ).
thf(37,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(38,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(cnf,[status(esa)],[37]) ).
thf(62,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( first_movers @ growth_rate ) @ ( B @ ( efficient_producers @ growth_rate ) @ greater ) )
| ( B
!= ( A @ critical_point ) )
| ~ ( A @ environment ) ),
inference(cnf,[status(esa)],[61]) ).
thf(63,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( first_movers @ growth_rate ) @ ( B @ ( efficient_producers @ growth_rate ) @ greater ) )
| ~ ( A @ environment )
| ( B
!= ( A @ critical_point ) ) ),
inference(lifteq,[status(thm)],[62]) ).
thf(64,plain,
! [A: $i] :
( ~ ( A @ critical_point @ ( first_movers @ growth_rate ) @ ( A @ critical_point @ ( efficient_producers @ growth_rate ) @ greater ) )
| ~ ( A @ environment ) ),
inference(simp,[status(thm)],[63]) ).
thf(539,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ greater ) )
!= ( D @ critical_point @ ( first_movers @ growth_rate ) @ ( D @ critical_point @ ( efficient_producers @ growth_rate ) @ greater ) ) )
| ~ $true
| ~ ( D @ environment )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[38,64]) ).
thf(540,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ greater ) )
!= ( D @ critical_point @ ( first_movers @ growth_rate ) @ ( D @ critical_point @ ( efficient_producers @ growth_rate ) @ greater ) ) )
| ~ ( D @ environment )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(simp,[status(thm)],[539]) ).
thf(541,plain,
! [B: $i,A: $i] :
( ~ ( B @ environment )
| ~ ( B @ critical_point @ ( first_movers @ growth_rate ) @ ( A @ greater ) )
| ~ ( A @ ( B @ critical_point @ ( efficient_producers @ growth_rate ) @ greater ) ) ),
inference(pattern_uni,[status(thm)],[540:[bind(A,$thf( J @ critical_point @ ( efficient_producers @ growth_rate ) )),bind(B,$thf( B )),bind(C,$thf( J @ critical_point @ ( first_movers @ growth_rate ) )),bind(D,$thf( J ))]]) ).
thf(549,plain,
! [B: $i,A: $i] :
( ~ ( B @ environment )
| ~ ( B @ critical_point @ ( first_movers @ growth_rate ) @ ( A @ greater ) )
| ~ ( A @ ( B @ critical_point @ ( efficient_producers @ growth_rate ) @ greater ) ) ),
inference(simp,[status(thm)],[541]) ).
thf(600,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ greater ) )
!= ( D @ ( E @ critical_point @ ( efficient_producers @ growth_rate ) @ greater ) ) )
| ~ ( E @ environment )
| ~ ( E @ critical_point @ ( first_movers @ growth_rate ) @ ( D @ greater ) )
| ~ $true
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[38,549]) ).
thf(601,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ greater ) )
!= ( D @ ( E @ critical_point @ ( efficient_producers @ growth_rate ) @ greater ) ) )
| ~ ( E @ environment )
| ~ ( E @ critical_point @ ( first_movers @ growth_rate ) @ ( D @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(simp,[status(thm)],[600]) ).
thf(602,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ environment )
| ~ ( C @ critical_point @ ( first_movers @ growth_rate ) @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) )
| ~ ( A @ ( C @ critical_point @ ( efficient_producers @ growth_rate ) @ greater ) ) ),
inference(pattern_uni,[status(thm)],[601:[bind(A,$thf( H @ critical_point @ ( efficient_producers @ growth_rate ) )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( C )),bind(E,$thf( H ))]]) ).
thf(645,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ environment )
| ~ ( C @ critical_point @ ( first_movers @ growth_rate ) @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) )
| ~ ( A @ ( C @ critical_point @ ( efficient_producers @ growth_rate ) @ greater ) ) ),
inference(simp,[status(thm)],[602]) ).
thf(19,axiom,
! [B: $i,A: $i] :
( ( B @ critical_point @ ( A @ ( B @ sk2 ) @ greater ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( B @ environment )
| ~ ( A @ slow_change )
| ~ ( A @ observational_period ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point_39) ).
thf(69,plain,
! [B: $i,A: $i] :
( ( B @ critical_point @ ( A @ ( B @ sk2 ) @ greater ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( B @ environment )
| ~ ( A @ slow_change )
| ~ ( A @ observational_period ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_54) ).
thf(39,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(40,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
inference(cnf,[status(esa)],[39]) ).
thf(41,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
inference(lifteq,[status(thm)],[40]) ).
thf(42,plain,
! [A: $i] : ( A @ ( A @ greater_or_equal ) ),
inference(simp,[status(thm)],[41]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ start_time @ ( A @ critical_point @ greater_or_equal ) )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_of_critical_point_49) ).
thf(46,plain,
! [A: $i] :
( ( A @ start_time @ ( A @ critical_point @ greater_or_equal ) )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(247,plain,
! [B: $i,A: $i] :
( ( B != first_movers )
| ( A @ propagation_strategy )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[45,88]) ).
thf(248,plain,
! [A: $i] :
( ( A @ propagation_strategy )
| ( first_movers @ ( A @ greater ) )
| ~ ( first_movers @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[247:[bind(A,$thf( A )),bind(B,$thf( first_movers ))]]) ).
thf(60,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( efficient_producers @ subpopulation ) ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
inference(cnf,[status(esa)],[59]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_53) ).
thf(33,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(34,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(cnf,[status(esa)],[33]) ).
thf(20,axiom,
! [A: $i] :
( ( A @ ( first_movers @ ( efficient_producers @ selection_favors ) ) )
| ( A @ sk1 @ ( A @ in_environment ) )
| ~ ( efficient_producers @ propagation_strategy )
| ~ ( first_movers @ propagation_strategy )
| ~ ( A @ observational_period ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_36) ).
thf(71,plain,
! [A: $i] :
( ( A @ ( first_movers @ ( efficient_producers @ selection_favors ) ) )
| ( A @ sk1 @ ( A @ in_environment ) )
| ~ ( efficient_producers @ propagation_strategy )
| ~ ( first_movers @ propagation_strategy )
| ~ ( A @ observational_period ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(13,axiom,
! [A: $i] :
( ( A @ ( first_movers @ ( efficient_producers @ selection_favors ) ) )
| ( A @ sk1 @ environment )
| ~ ( efficient_producers @ propagation_strategy )
| ~ ( first_movers @ propagation_strategy )
| ~ ( A @ observational_period ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_35) ).
thf(54,plain,
! [A: $i] :
( ( A @ ( first_movers @ ( efficient_producers @ selection_favors ) ) )
| ( A @ sk1 @ environment )
| ~ ( efficient_producers @ propagation_strategy )
| ~ ( first_movers @ propagation_strategy )
| ~ ( A @ observational_period ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(49,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ end_time @ greater_or_equal ) )
| ( A @ end_time @ ( B @ greater ) )
| ~ ( A @ start_time @ ( B @ greater ) )
| ~ ( A @ environment ) ),
inference(cnf,[status(esa)],[48]) ).
thf(27,axiom,
! [B: $i,A: $i] :
( ( zero @ ( B @ ( efficient_producers @ cardinality_at_time ) @ greater ) )
| ~ ( A @ ( efficient_producers @ appear ) @ ( B @ greater_or_equal ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_57) ).
thf(86,plain,
! [B: $i,A: $i] :
( ( zero @ ( B @ ( efficient_producers @ cardinality_at_time ) @ greater ) )
| ~ ( A @ ( efficient_producers @ appear ) @ ( B @ greater_or_equal ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ in_environment ) )
| ~ ( B @ ( A @ end_time @ greater_or_equal ) )
| ~ ( A @ start_time @ ( B @ greater_or_equal ) )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_in_environment_42) ).
thf(35,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ in_environment ) )
| ~ ( B @ ( A @ end_time @ greater_or_equal ) )
| ~ ( A @ start_time @ ( B @ greater_or_equal ) )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(36,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ in_environment ) )
| ~ ( B @ ( A @ end_time @ greater_or_equal ) )
| ~ ( A @ start_time @ ( B @ greater_or_equal ) )
| ~ ( A @ environment ) ),
inference(cnf,[status(esa)],[35]) ).
thf(123,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( zero @ ( B @ ( first_movers @ cardinality_at_time ) @ greater_or_equal ) )
!= ( D @ ( C @ end_time @ greater_or_equal ) ) )
| ( D @ ( C @ in_environment ) )
| ~ $true
| ~ ( C @ start_time @ ( D @ greater_or_equal ) )
| ~ ( C @ environment )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
inference(paramod_ordered,[status(thm)],[66,36]) ).
thf(124,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( zero @ ( B @ ( first_movers @ cardinality_at_time ) @ greater_or_equal ) )
!= ( D @ ( C @ end_time @ greater_or_equal ) ) )
| ( D @ ( C @ in_environment ) )
| ~ ( C @ start_time @ ( D @ greater_or_equal ) )
| ~ ( C @ environment )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
inference(simp,[status(thm)],[123]) ).
thf(129,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( zero != D )
| ( ( B @ ( first_movers @ cardinality_at_time ) )
!= ( C @ end_time ) )
| ~ ( C @ start_time @ ( D @ greater_or_equal ) )
| ~ ( C @ environment )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment )
| ( D @ ( C @ in_environment ) ) ),
inference(simp,[status(thm)],[124]) ).
thf(131,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( first_movers @ cardinality_at_time ) )
!= ( C @ end_time ) )
| ~ ( C @ start_time @ ( zero @ greater_or_equal ) )
| ~ ( C @ environment )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment )
| ( zero @ ( C @ in_environment ) ) ),
inference(simp,[status(thm)],[129]) ).
thf(161,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( zero @ ( C @ in_environment ) )
!= ( E @ ( D @ in_environment ) ) )
| ( ( E @ ( first_movers @ cardinality_at_time ) )
!= ( F @ end_time ) )
| ~ ( F @ start_time @ ( zero @ greater_or_equal ) )
| ~ ( F @ environment )
| ~ $true
| ~ ( D @ environment )
| ( zero @ ( F @ in_environment ) )
| ( ( B @ ( first_movers @ cardinality_at_time ) )
!= ( C @ end_time ) )
| ~ ( C @ start_time @ ( zero @ greater_or_equal ) )
| ~ ( C @ environment )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
inference(paramod_ordered,[status(thm)],[131,131]) ).
thf(162,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( zero @ ( C @ in_environment ) )
!= ( E @ ( D @ in_environment ) ) )
| ( ( E @ ( first_movers @ cardinality_at_time ) )
!= ( F @ end_time ) )
| ~ ( F @ start_time @ ( zero @ greater_or_equal ) )
| ~ ( F @ environment )
| ~ ( D @ environment )
| ( zero @ ( F @ in_environment ) )
| ( ( B @ ( first_movers @ cardinality_at_time ) )
!= ( C @ end_time ) )
| ~ ( C @ start_time @ ( zero @ greater_or_equal ) )
| ~ ( C @ environment )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
inference(simp,[status(thm)],[161]) ).
thf(163,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( zero @ ( first_movers @ cardinality_at_time ) )
!= ( D @ end_time ) )
| ~ ( D @ start_time @ ( zero @ greater_or_equal ) )
| ~ ( D @ environment )
| ~ ( C @ environment )
| ( zero @ ( D @ in_environment ) )
| ( ( B @ ( first_movers @ cardinality_at_time ) )
!= ( C @ end_time ) )
| ~ ( C @ start_time @ ( zero @ greater_or_equal ) )
| ~ ( C @ environment )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
inference(pattern_uni,[status(thm)],[162:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( C )),bind(E,$thf( zero ))]]) ).
thf(172,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( zero @ ( first_movers @ cardinality_at_time ) )
!= ( D @ end_time ) )
| ~ ( D @ start_time @ ( zero @ greater_or_equal ) )
| ~ ( D @ environment )
| ( zero @ ( D @ in_environment ) )
| ( ( B @ ( first_movers @ cardinality_at_time ) )
!= ( C @ end_time ) )
| ~ ( C @ start_time @ ( zero @ greater_or_equal ) )
| ~ ( C @ environment )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
inference(simp,[status(thm)],[163]) ).
thf(376,plain,
! [B: $i,A: $i] :
( ( B != sk3 )
| ( A @ slow_change )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[45,30]) ).
thf(377,plain,
! [A: $i] :
( ( A @ slow_change )
| ( sk3 @ ( A @ greater ) )
| ~ ( sk3 @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[376:[bind(A,$thf( A )),bind(B,$thf( sk3 ))]]) ).
thf(305,plain,
! [B: $i,A: $i] :
( ( B != efficient_producers )
| ~ ( sk3 @ ( first_movers @ ( A @ selection_favors ) ) )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[45,32]) ).
thf(306,plain,
! [A: $i] :
( ~ ( sk3 @ ( first_movers @ ( A @ selection_favors ) ) )
| ( efficient_producers @ ( A @ greater ) )
| ~ ( efficient_producers @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[305:[bind(A,$thf( A )),bind(B,$thf( efficient_producers ))]]) ).
thf(252,plain,
! [B: $i,A: $i] :
( ( A != sk3 )
| ( B @ observational_period )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[45,29]) ).
thf(253,plain,
! [A: $i] :
( ( A @ observational_period )
| ( A @ ( sk3 @ greater ) )
| ~ ( A @ ( sk3 @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[252:[bind(A,$thf( sk3 ))]]) ).
thf(505,plain,
! [A: $i] :
( ( A @ observational_period )
| ( A @ ( sk3 @ greater ) )
| ~ ( A @ ( sk3 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[253]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ end_time @ greater_or_equal ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_end_point_43) ).
thf(50,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ end_time @ greater_or_equal ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(18,axiom,
! [A: $i] :
( ( A @ ( efficient_producers @ appear ) @ ( A @ critical_point @ greater_or_equal ) )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_point_after_EP_48) ).
thf(67,plain,
! [A: $i] :
( ( A @ ( efficient_producers @ appear ) @ ( A @ critical_point @ greater_or_equal ) )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(245,plain,
! [B: $i,A: $i] :
( ( A != first_movers )
| ( B @ propagation_strategy )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[45,88]) ).
thf(246,plain,
! [A: $i] :
( ( A @ propagation_strategy )
| ( A @ ( first_movers @ greater ) )
| ~ ( A @ ( first_movers @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[245:[bind(A,$thf( first_movers ))]]) ).
thf(502,plain,
! [A: $i] :
( ( A @ propagation_strategy )
| ( A @ ( first_movers @ greater ) )
| ~ ( A @ ( first_movers @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[246]) ).
thf(362,plain,
! [B: $i,A: $i] :
( ( A != efficient_producers )
| ( B @ propagation_strategy )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[45,81]) ).
thf(363,plain,
! [A: $i] :
( ( A @ propagation_strategy )
| ( A @ ( efficient_producers @ greater ) )
| ~ ( A @ ( efficient_producers @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[362:[bind(A,$thf( efficient_producers ))]]) ).
thf(497,plain,
! [A: $i] :
( ( A @ propagation_strategy )
| ( A @ ( efficient_producers @ greater ) )
| ~ ( A @ ( efficient_producers @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[363]) ).
thf(22,axiom,
! [A: $i] :
( ( A @ ( first_movers @ ( efficient_producers @ selection_favors ) ) )
| ~ ( A @ sk1 @ end_time @ ( first_movers @ ( efficient_producers @ selection_favors ) ) )
| ~ ( efficient_producers @ propagation_strategy )
| ~ ( first_movers @ propagation_strategy )
| ~ ( A @ observational_period ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_37) ).
thf(75,plain,
! [A: $i] :
( ( A @ ( first_movers @ ( efficient_producers @ selection_favors ) ) )
| ~ ( A @ sk1 @ end_time @ ( first_movers @ ( efficient_producers @ selection_favors ) ) )
| ~ ( efficient_producers @ propagation_strategy )
| ~ ( first_movers @ propagation_strategy )
| ~ ( A @ observational_period ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(26,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( first_movers @ growth_rate ) @ ( C @ ( efficient_producers @ growth_rate ) @ greater ) )
| ~ ( B @ ( C @ greater ) )
| ~ ( C @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
| ( B
!= ( A @ critical_point ) )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_56) ).
thf(82,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( first_movers @ growth_rate ) @ ( C @ ( efficient_producers @ growth_rate ) @ greater ) )
| ~ ( B @ ( C @ greater ) )
| ~ ( C @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
| ( B
!= ( A @ critical_point ) )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(51,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ end_time @ greater_or_equal ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
inference(cnf,[status(esa)],[50]) ).
thf(630,plain,
! [B: $i,A: $i] :
( ~ $true
| ( ( B @ critical_point @ ( first_movers @ growth_rate ) @ ( A @ greater ) )
!= ( A @ ( B @ critical_point @ ( efficient_producers @ growth_rate ) @ greater ) ) )
| ~ ( B @ environment )
| ~ ( A @ ( B @ critical_point @ ( efficient_producers @ growth_rate ) @ greater ) ) ),
inference(eqfactor_ordered,[status(thm)],[549]) ).
thf(632,plain,
! [B: $i,A: $i] :
( ( ( B @ critical_point @ ( first_movers @ growth_rate ) )
!= A )
| ( A
!= ( B @ critical_point @ ( efficient_producers @ growth_rate ) ) )
| ~ ( B @ environment )
| ~ ( A @ ( B @ critical_point @ ( efficient_producers @ growth_rate ) @ greater ) ) ),
inference(simp,[status(thm)],[630]) ).
thf(644,plain,
! [A: $i] :
( ( ( A @ critical_point @ ( first_movers @ growth_rate ) )
!= ( A @ critical_point @ ( efficient_producers @ growth_rate ) ) )
| ~ ( A @ environment )
| ~ ( A @ critical_point @ ( efficient_producers @ growth_rate ) @ ( A @ critical_point @ ( efficient_producers @ growth_rate ) @ greater ) ) ),
inference(simp,[status(thm)],[632]) ).
thf(648,plain,
! [A: $i] :
( ( ( A @ critical_point )
!= ( A @ critical_point ) )
| ( first_movers != efficient_producers )
| ~ ( A @ environment )
| ~ ( A @ critical_point @ ( efficient_producers @ growth_rate ) @ ( A @ critical_point @ ( efficient_producers @ growth_rate ) @ greater ) ) ),
inference(simp,[status(thm)],[644]) ).
thf(691,plain,
! [A: $i] :
( ( first_movers != efficient_producers )
| ~ ( A @ environment )
| ~ ( A @ critical_point @ ( efficient_producers @ growth_rate ) @ ( A @ critical_point @ ( efficient_producers @ growth_rate ) @ greater ) ) ),
inference(simp,[status(thm)],[648]) ).
thf(873,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ greater ) )
!= ( D @ critical_point @ ( efficient_producers @ growth_rate ) @ ( D @ critical_point @ ( efficient_producers @ growth_rate ) @ greater ) ) )
| ( first_movers != efficient_producers )
| ~ ( D @ environment )
| ~ $true
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[38,691]) ).
thf(874,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ greater ) )
!= ( D @ critical_point @ ( efficient_producers @ growth_rate ) @ ( D @ critical_point @ ( efficient_producers @ growth_rate ) @ greater ) ) )
| ( first_movers != efficient_producers )
| ~ ( D @ environment )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(simp,[status(thm)],[873]) ).
thf(875,plain,
! [B: $i,A: $i] :
( ( first_movers != efficient_producers )
| ~ ( B @ environment )
| ~ ( B @ critical_point @ ( efficient_producers @ growth_rate ) @ ( A @ greater ) )
| ~ ( A @ ( B @ critical_point @ ( efficient_producers @ growth_rate ) @ greater ) ) ),
inference(pattern_uni,[status(thm)],[874:[bind(A,$thf( J @ critical_point @ ( efficient_producers @ growth_rate ) )),bind(B,$thf( B )),bind(C,$thf( J @ critical_point @ ( efficient_producers @ growth_rate ) )),bind(D,$thf( J ))]]) ).
thf(908,plain,
! [B: $i,A: $i] :
( ( first_movers != efficient_producers )
| ~ ( B @ environment )
| ~ ( B @ critical_point @ ( efficient_producers @ growth_rate ) @ ( A @ greater ) )
| ~ ( A @ ( B @ critical_point @ ( efficient_producers @ growth_rate ) @ greater ) ) ),
inference(simp,[status(thm)],[875]) ).
thf(68,plain,
! [A: $i] :
( ( A @ ( efficient_producers @ appear ) @ ( A @ critical_point @ greater_or_equal ) )
| ~ ( A @ environment ) ),
inference(cnf,[status(esa)],[67]) ).
thf(47,plain,
! [A: $i] :
( ( A @ start_time @ ( A @ critical_point @ greater_or_equal ) )
| ~ ( A @ environment ) ),
inference(cnf,[status(esa)],[46]) ).
thf(8538,plain,
$false,
inference(e,[status(thm)],[308,56,52,61,65,53,77,503,73,59,66,255,48,79,365,88,645,69,42,37,46,29,248,60,38,33,45,64,32,34,71,54,49,86,172,81,377,39,306,505,35,50,67,502,31,497,43,75,549,82,36,30,51,644,908,68,691,131,47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT039-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/20.48 % CPULimit : 300
% 0.11/20.48 % WCLimit : 300
% 0.11/20.48 % DateTime : Sat Sep 26 00:08:20 UTC 2026
% 0.11/20.48 % CPUTime :
% 0.11/20.48 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.10/21.07 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.36/21.26 % [INFO] Parsing done (191ms).
% 1.36/21.28 % [INFO] Running in sequential loop mode.
% 2.03/21.68 % [INFO] eprover registered as external prover.
% 2.03/21.69 % [INFO] Scanning for conjecture ...
% 2.24/21.79 % [INFO] Found a conjecture (or negated_conjecture) and 25 axioms. Running axiom selection ...
% 2.40/21.86 % [INFO] Axiom selection finished. Selected 25 axioms (removed 0 axioms).
% 2.58/21.91 % [INFO] Problem is propositional (TPTP CNF).
% 2.58/21.92 % [INFO] Type checking passed.
% 2.58/21.92 % [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 ...
% 28.55/27.44 % External prover 'e' found a proof!
% 28.55/27.44 % [INFO] Killing All external provers ...
% 28.55/27.44 % Time passed: 6809ms (effective reasoning time: 6154ms)
% 28.55/27.44 % Axioms used in derivation (25): mp_greater_or_equal_52, t6_57, mp_subpopulations_47, mp_beginning_and_ending_51, mp4_critical_point_38, mp_time_of_critical_point_49, mp2_favour_members_34, mp3_favoured_trategy_37, mp_first_movers_exist_45, mp_greater_or_equal_53, mp4_critical_point_39, mp3_favoured_trategy_36, d1_56, mp_contains_FM_and_EP_44, mp_organizational_sets1_40, d1_55, mp3_favoured_trategy_35, mp_time_in_environment_42, mp_subpopulations_46, mp_organizational_sets2_41, mp_greater_or_equal_54, mp_greater_transitivity_50, mp_critical_point_after_EP_48, mp1_high_growth_rates_33, mp_environment_end_point_43
% 28.55/27.44 % No. of inferences in proof: 125
% 28.55/27.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 6809 ms resp. 6154 ms w/o parsing
% 29.00/27.51 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 29.00/27.52 % [INFO] Killing All external provers ...
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