TSTP Solution File: MGT034+2 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : MGT034+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n015.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 11:35:20 EDT 2023

% Result   : Theorem 3.88s 1.98s
% Output   : Refutation 4.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   39
% Syntax   : Number of formulae    :   62 (   1 unt;  18 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  :   29 (  29   >;   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_type,type,
    environment: $i > $o ).

thf(in_environment_type,type,
    in_environment: $i > $i > $o ).

thf(critical_point_type,type,
    critical_point: $i > $i ).

thf(greater_or_equal_type,type,
    greater_or_equal: $i > $i > $o ).

thf(appear_type,type,
    appear: $i > $i > $i ).

thf(efficient_producers_type,type,
    efficient_producers: $i ).

thf(greater_type,type,
    greater: $i > $i > $o ).

thf(selection_favors_type,type,
    selection_favors: $i > $i > $i > $o ).

thf(first_movers_type,type,
    first_movers: $i ).

thf(subpopulations_type,type,
    subpopulations: $i > $i > $i > $i > $o ).

thf(growth_rate_type,type,
    growth_rate: $i > $i > $i ).

thf(cardinality_at_time_type,type,
    cardinality_at_time: $i > $i > $i ).

thf(zero_type,type,
    zero: $i ).

thf(decreases_type,type,
    decreases: $i > $o ).

thf(difference_type,type,
    difference: $i > $i > $i ).

thf(founding_rate_type,type,
    founding_rate: $i > $i > $i ).

thf(disbanding_rate_type,type,
    disbanding_rate: $i > $i > $i ).

thf(start_time_type,type,
    start_time: $i > $i ).

thf(7,axiom,
    ! [A: $i,B: $i] :
      ( ( ( environment @ A )
        & ( in_environment @ A @ B )
        & ( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero )
        & ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ) )
     => ( subpopulations @ first_movers @ efficient_producers @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contains_FM_and_EP) ).

thf(42,plain,
    ! [A: $i,B: $i] :
      ( ( ( environment @ A )
        & ( in_environment @ A @ B )
        & ( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero )
        & ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ) )
     => ( subpopulations @ first_movers @ efficient_producers @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(9,axiom,
    ! [A: $i] :
      ( ( ( decreases @ ( difference @ ( founding_rate @ first_movers @ A ) @ ( founding_rate @ efficient_producers @ A ) ) )
        & ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ A ) @ ( disbanding_rate @ efficient_producers @ A ) ) ) )
     => ( decreases @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_difference_between_founding_rates) ).

thf(53,plain,
    ! [A: $i] :
      ( ( ( decreases @ ( difference @ ( founding_rate @ first_movers @ A ) @ ( founding_rate @ efficient_producers @ A ) ) )
        & ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ A ) @ ( disbanding_rate @ efficient_producers @ A ) ) ) )
     => ( decreases @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(19,axiom,
    ! [A: $i,B: $i] :
      ( ( ( environment @ A )
        & ( subpopulations @ first_movers @ efficient_producers @ A @ B )
        & ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ B ) @ ( growth_rate @ efficient_producers @ B ) ) ) )
     => ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ B ) @ ( growth_rate @ efficient_producers @ B ) ) @ zero ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_relationship_of_growth_rates) ).

thf(77,plain,
    ! [A: $i,B: $i] :
      ( ( ( environment @ A )
        & ( subpopulations @ first_movers @ efficient_producers @ A @ B )
        & ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ B ) @ ( growth_rate @ efficient_producers @ B ) ) ) )
     => ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ B ) @ ( growth_rate @ efficient_producers @ B ) ) @ zero ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(14,axiom,
    ! [A: $i] :
      ( ( environment @ A )
     => ( greater_or_equal @ ( appear @ first_movers @ A ) @ ( start_time @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_no_FM_before_opening) ).

thf(64,plain,
    ! [A: $i] :
      ( ( environment @ A )
     => ( greater_or_equal @ ( appear @ first_movers @ A ) @ ( start_time @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(21,axiom,
    ! [A: $i] :
      ( ( environment @ A )
     => ( in_environment @ A @ ( start_time @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_opening_time_in_duration) ).

thf(81,plain,
    ! [A: $i] :
      ( ( environment @ A )
     => ( in_environment @ A @ ( start_time @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(15,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( environment @ A )
        & ( subpopulations @ B @ C @ A @ D )
        & ( greater @ ( growth_rate @ C @ D ) @ ( growth_rate @ B @ D ) ) )
     => ( selection_favors @ C @ B @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates) ).

thf(66,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( environment @ A )
        & ( subpopulations @ B @ C @ A @ D )
        & ( greater @ ( growth_rate @ C @ D ) @ ( growth_rate @ B @ D ) ) )
     => ( selection_favors @ C @ B @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(6,axiom,
    ! [A: $i,B: $i] :
      ( ( ( environment @ A )
        & ( B
          = ( critical_point @ A ) ) )
     => ( ~ ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) )
        & ! [C: $i] :
            ( ( ( subpopulations @ first_movers @ efficient_producers @ A @ C )
              & ( greater @ C @ B ) )
           => ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).

thf(35,plain,
    ! [A: $i,B: $i] :
      ( ( ( environment @ A )
        & ( B
          = ( critical_point @ A ) ) )
     => ( ~ ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) )
        & ! [C: $i] :
            ( ( ( subpopulations @ first_movers @ efficient_producers @ A @ C )
              & ( greater @ C @ B ) )
           => ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(4,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( environment @ A )
        & ( in_environment @ A @ B )
        & ( in_environment @ A @ C )
        & ( greater_or_equal @ C @ D )
        & ( greater_or_equal @ D @ B ) )
     => ( in_environment @ A @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_durations_are_time_intervals) ).

thf(31,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( environment @ A )
        & ( in_environment @ A @ B )
        & ( in_environment @ A @ C )
        & ( greater_or_equal @ C @ D )
        & ( greater_or_equal @ D @ B ) )
     => ( in_environment @ A @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(18,axiom,
    ! [A: $i,B: $i] :
      ( ( ( environment @ A )
        & ( subpopulations @ first_movers @ efficient_producers @ A @ B ) )
     => ( subpopulations @ efficient_producers @ first_movers @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations) ).

thf(75,plain,
    ! [A: $i,B: $i] :
      ( ( ( environment @ A )
        & ( subpopulations @ first_movers @ efficient_producers @ A @ B ) )
     => ( subpopulations @ efficient_producers @ first_movers @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(20,axiom,
    ! [A: $i] :
      ( ( ( environment @ A )
        & ( in_environment @ A @ ( critical_point @ A ) ) )
     => ( subpopulations @ first_movers @ efficient_producers @ A @ ( critical_point @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_point_means_FM_and_EP) ).

thf(79,plain,
    ! [A: $i] :
      ( ( ( environment @ A )
        & ( in_environment @ A @ ( critical_point @ A ) ) )
     => ( subpopulations @ first_movers @ efficient_producers @ A @ ( critical_point @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(22,axiom,
    ! [A: $i] :
      ( ( greater @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) @ zero )
    <=> ( greater @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_growth_rate_difference) ).

thf(83,plain,
    ! [A: $i] :
      ( ( ( greater @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) @ zero )
       => ( greater @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) )
      & ( ( greater @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) )
       => ( greater @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) @ zero ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(11,axiom,
    ! [A: $i,B: $i] :
      ( ( ( environment @ A )
        & ( subpopulations @ first_movers @ efficient_producers @ A @ B ) )
     => ( decreases @ ( difference @ ( founding_rate @ first_movers @ B ) @ ( founding_rate @ efficient_producers @ B ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a12) ).

thf(57,plain,
    ! [A: $i,B: $i] :
      ( ( ( environment @ A )
        & ( subpopulations @ first_movers @ efficient_producers @ A @ B ) )
     => ( decreases @ ( difference @ ( founding_rate @ first_movers @ B ) @ ( founding_rate @ efficient_producers @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(3,axiom,
    ! [A: $i,B: $i] :
      ( ( ( environment @ A )
        & ( in_environment @ A @ ( critical_point @ A ) )
        & ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) )
        & ( greater @ ( critical_point @ A ) @ B ) )
     => ( in_environment @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_time_points) ).

thf(29,plain,
    ! [A: $i,B: $i] :
      ( ( ( environment @ A )
        & ( in_environment @ A @ ( critical_point @ A ) )
        & ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) )
        & ( greater @ ( critical_point @ A ) @ B ) )
     => ( in_environment @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(17,axiom,
    ! [A: $i] :
      ( ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) )
    <=> ( greater @ ( growth_rate @ efficient_producers @ A ) @ ( growth_rate @ first_movers @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_negative_growth_rate_difference) ).

thf(70,plain,
    ! [A: $i] :
      ( ( ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) )
       => ( greater @ ( growth_rate @ efficient_producers @ A ) @ ( growth_rate @ first_movers @ A ) ) )
      & ( ( greater @ ( growth_rate @ efficient_producers @ A ) @ ( growth_rate @ first_movers @ A ) )
       => ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(5,axiom,
    ! [A: $i] :
      ( ( ( environment @ A )
        & ( in_environment @ A @ ( appear @ efficient_producers @ A ) ) )
     => ( subpopulations @ first_movers @ efficient_producers @ A @ ( appear @ efficient_producers @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_and_EP_when_EP_appears) ).

thf(33,plain,
    ! [A: $i] :
      ( ( ( environment @ A )
        & ( in_environment @ A @ ( appear @ efficient_producers @ A ) ) )
     => ( subpopulations @ first_movers @ efficient_producers @ A @ ( appear @ efficient_producers @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(8,axiom,
    ! [A: $i,B: $i] :
      ( ( greater_or_equal @ A @ B )
    <=> ( ( greater @ A @ B )
        | ( A = B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).

thf(44,plain,
    ! [A: $i,B: $i] :
      ( ( ( greater_or_equal @ A @ B )
       => ( ( greater @ A @ B )
          | ( A = B ) ) )
      & ( ( ( greater @ A @ B )
          | ( A = B ) )
       => ( greater_or_equal @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(12,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( environment @ A )
        & ( in_environment @ A @ C )
        & ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ C ) @ ( growth_rate @ efficient_producers @ C ) ) @ zero )
        & ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) )
        & ( greater @ C @ B ) )
     => ( ( decreases @ ( difference @ ( growth_rate @ first_movers @ B ) @ ( growth_rate @ efficient_producers @ B ) ) )
       => ( greater @ ( difference @ ( growth_rate @ first_movers @ B ) @ ( growth_rate @ efficient_producers @ B ) ) @ zero ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_decreasing_function) ).

thf(59,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( environment @ A )
        & ( in_environment @ A @ C )
        & ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ C ) @ ( growth_rate @ efficient_producers @ C ) ) @ zero )
        & ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) )
        & ( greater @ C @ B ) )
     => ( ( decreases @ ( difference @ ( growth_rate @ first_movers @ B ) @ ( growth_rate @ efficient_producers @ B ) ) )
       => ( greater @ ( difference @ ( growth_rate @ first_movers @ B ) @ ( growth_rate @ efficient_producers @ B ) ) @ zero ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(10,axiom,
    ! [A: $i,B: $i] :
      ( ( ( environment @ A )
        & ( subpopulations @ first_movers @ efficient_producers @ A @ B ) )
     => ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_and_EP_members_EP_appeared) ).

thf(55,plain,
    ! [A: $i,B: $i] :
      ( ( ( environment @ A )
        & ( subpopulations @ first_movers @ efficient_producers @ A @ B ) )
     => ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(1,conjecture,
    ! [A: $i,B: $i] :
      ( ( ( environment @ A )
        & ( in_environment @ A @ ( critical_point @ A ) )
        & ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) )
        & ( greater @ ( critical_point @ A ) @ B ) )
     => ( selection_favors @ first_movers @ efficient_producers @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3) ).

thf(2,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( ( environment @ A )
          & ( in_environment @ A @ ( critical_point @ A ) )
          & ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) )
          & ( greater @ ( critical_point @ A ) @ B ) )
       => ( selection_favors @ first_movers @ efficient_producers @ B ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(23,plain,
    ~ ! [A: $i,B: $i] :
        ( ( ( environment @ A )
          & ( in_environment @ A @ ( critical_point @ A ) )
          & ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) )
          & ( greater @ ( critical_point @ A ) @ B ) )
       => ( selection_favors @ first_movers @ efficient_producers @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(16,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( environment @ A )
        & ( subpopulations @ first_movers @ efficient_producers @ A @ B )
        & ( subpopulations @ first_movers @ efficient_producers @ A @ C )
        & ( greater_or_equal @ D @ B )
        & ( greater_or_equal @ C @ D ) )
     => ( subpopulations @ first_movers @ efficient_producers @ A @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a10) ).

thf(68,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( environment @ A )
        & ( subpopulations @ first_movers @ efficient_producers @ A @ B )
        & ( subpopulations @ first_movers @ efficient_producers @ A @ C )
        & ( greater_or_equal @ D @ B )
        & ( greater_or_equal @ C @ D ) )
     => ( subpopulations @ first_movers @ efficient_producers @ A @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(13,axiom,
    ! [A: $i,B: $i] :
      ( ( ( environment @ A )
        & ( subpopulations @ first_movers @ efficient_producers @ A @ B ) )
     => ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ B ) @ ( disbanding_rate @ efficient_producers @ B ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3) ).

thf(62,plain,
    ! [A: $i,B: $i] :
      ( ( ( environment @ A )
        & ( subpopulations @ first_movers @ efficient_producers @ A @ B ) )
     => ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ B ) @ ( disbanding_rate @ efficient_producers @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(92,plain,
    $false,
    inference(e,[status(thm)],[42,53,77,64,81,66,35,31,75,79,83,57,29,70,33,44,59,55,23,68,62]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : MGT034+2 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.16  % Command  : run_Leo-III %s %d
% 0.17/0.37  % Computer : n015.cluster.edu
% 0.17/0.37  % Model    : x86_64 x86_64
% 0.17/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37  % Memory   : 8042.1875MB
% 0.17/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37  % CPULimit : 300
% 0.17/0.37  % WCLimit  : 300
% 0.17/0.37  % DateTime : Thu May 18 23:56:08 EDT 2023
% 0.17/0.37  % CPUTime  : 
% 0.98/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.15/1.01  % [INFO] 	 Parsing done (137ms). 
% 1.42/1.01  % [INFO] 	 Running in sequential loop mode. 
% 1.81/1.21  % [INFO] 	 eprover registered as external prover. 
% 1.81/1.22  % [INFO] 	 cvc4 registered as external prover. 
% 1.81/1.22  % [INFO] 	 Scanning for conjecture ... 
% 1.89/1.29  % [INFO] 	 Found a conjecture and 20 axioms. Running axiom selection ... 
% 2.15/1.34  % [INFO] 	 Axiom selection finished. Selected 20 axioms (removed 0 axioms). 
% 2.15/1.38  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.15/1.38  % [INFO] 	 Type checking passed. 
% 2.15/1.39  % [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 ... 
% 3.88/1.98  % External prover 'e' found a proof!
% 3.88/1.98  % [INFO] 	 Killing All external provers ... 
% 3.88/1.98  % Time passed: 1448ms (effective reasoning time: 961ms)
% 3.88/1.98  % 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)>
% 3.88/1.98  % 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
% 3.88/1.98  % No. of inferences in proof: 44
% 3.88/1.98  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1448 ms resp. 961 ms w/o parsing
% 4.29/2.03  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.29/2.03  % [INFO] 	 Killing All external provers ... 
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