%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT034-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 : Thu Sep 24 08:50:40 AM UTC 2026
% Result : Unsatisfiable 34.54s 34.89s
% Output : Proof 34.75s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(mp1_high_growth_rates_33,axiom,
( selection_favors(C,B,D)
| ~ greater(growth_rate(C,D),growth_rate(B,D))
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
file('theBenchmark.p',mp1_high_growth_rates_33) ).
cnf(l3_34,axiom,
( ~ decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('theBenchmark.p',l3_34) ).
cnf(mp_critical_point_means_FM_and_EP_35,axiom,
( subpopulations(first_movers,efficient_producers,A,critical_point(A))
| ~ in_environment(A,critical_point(A))
| ~ environment(A) ),
file('theBenchmark.p',mp_critical_point_means_FM_and_EP_35) ).
cnf(mp_FM_and_EP_when_EP_appears_36,axiom,
( subpopulations(first_movers,efficient_producers,A,appear(efficient_producers,A))
| ~ in_environment(A,appear(efficient_producers,A))
| ~ environment(A) ),
file('theBenchmark.p',mp_FM_and_EP_when_EP_appears_36) ).
cnf(mp_difference_between_founding_rates_37,axiom,
( decreases(difference(growth_rate(first_movers,A),growth_rate(efficient_producers,A)))
| decreases(difference(disbanding_rate(first_movers,A),disbanding_rate(efficient_producers,A)))
| ~ decreases(difference(founding_rate(first_movers,A),founding_rate(efficient_producers,A))) ),
file('theBenchmark.p',mp_difference_between_founding_rates_37) ).
cnf(mp_decreasing_function_38,axiom,
( greater(difference(growth_rate(first_movers,C),growth_rate(efficient_producers,C)),zero)
| ~ decreases(difference(growth_rate(first_movers,C),growth_rate(efficient_producers,C)))
| ~ greater(B,C)
| ~ greater_or_equal(C,appear(efficient_producers,A))
| ~ greater_or_equal(difference(growth_rate(first_movers,B),growth_rate(efficient_producers,B)),zero)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_decreasing_function_38) ).
cnf(mp_negative_growth_rate_difference_39,axiom,
( greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| ~ greater(zero,difference(growth_rate(first_movers,A),growth_rate(efficient_producers,A))) ),
file('theBenchmark.p',mp_negative_growth_rate_difference_39) ).
cnf(mp_negative_growth_rate_difference_40,axiom,
( 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('theBenchmark.p',mp_negative_growth_rate_difference_40) ).
cnf(mp_positive_growth_rate_difference_41,axiom,
( greater(growth_rate(first_movers,A),growth_rate(efficient_producers,A))
| ~ greater(difference(growth_rate(first_movers,A),growth_rate(efficient_producers,A)),zero) ),
file('theBenchmark.p',mp_positive_growth_rate_difference_41) ).
cnf(mp_positive_growth_rate_difference_42,axiom,
( 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('theBenchmark.p',mp_positive_growth_rate_difference_42) ).
cnf(mp_durations_are_time_intervals_43,axiom,
( in_environment(A,D)
| ~ greater_or_equal(D,B)
| ~ greater_or_equal(C,D)
| ~ in_environment(A,C)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_durations_are_time_intervals_43) ).
cnf(mp_opening_time_in_duration_44,axiom,
( in_environment(A,start_time(A))
| ~ environment(A) ),
file('theBenchmark.p',mp_opening_time_in_duration_44) ).
cnf(mp_no_FM_before_opening_45,axiom,
( greater_or_equal(appear(first_movers,A),start_time(A))
| ~ environment(A) ),
file('theBenchmark.p',mp_no_FM_before_opening_45) ).
cnf(mp_critical_time_points_46,axiom,
( in_environment(A,B)
| ~ greater(critical_point(A),B)
| ~ greater_or_equal(B,appear(efficient_producers,A))
| ~ in_environment(A,critical_point(A))
| ~ environment(A) ),
file('theBenchmark.p',mp_critical_time_points_46) ).
cnf(mp_contains_FM_and_EP_47,axiom,
( subpopulations(first_movers,efficient_producers,A,B)
| ~ greater(cardinality_at_time(efficient_producers,B),zero)
| ~ greater(cardinality_at_time(first_movers,B),zero)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_contains_FM_and_EP_47) ).
cnf(mp_symmetry_of_subpopulations_48,axiom,
( subpopulations(efficient_producers,first_movers,A,B)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_symmetry_of_subpopulations_48) ).
cnf(mp_FM_and_EP_members_EP_appeared_49,axiom,
( greater_or_equal(B,appear(efficient_producers,A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_FM_and_EP_members_EP_appeared_49) ).
cnf(mp_greater_or_equal_50,axiom,
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
file('theBenchmark.p',mp_greater_or_equal_50) ).
cnf(mp_greater_or_equal_51,axiom,
( greater_or_equal(A,B)
| ~ greater(A,B) ),
file('theBenchmark.p',mp_greater_or_equal_51) ).
cnf(mp_greater_or_equal_52,axiom,
( greater_or_equal(A,B)
| A != B ),
file('theBenchmark.p',mp_greater_or_equal_52) ).
cnf(mp_relationship_of_growth_rates_53,axiom,
( greater_or_equal(difference(growth_rate(first_movers,B),growth_rate(efficient_producers,B)),zero)
| greater(zero,difference(growth_rate(first_movers,B),growth_rate(efficient_producers,B)))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_relationship_of_growth_rates_53) ).
cnf(d1_54,hypothesis,
( ~ greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| B != critical_point(A)
| ~ environment(A) ),
file('theBenchmark.p',d1_54) ).
cnf(d1_55,hypothesis,
( greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ~ greater(C,B)
| ~ subpopulations(first_movers,efficient_producers,A,C)
| B != critical_point(A)
| ~ environment(A) ),
file('theBenchmark.p',d1_55) ).
cnf(a10_56,hypothesis,
( subpopulations(first_movers,efficient_producers,A,D)
| ~ greater_or_equal(C,D)
| ~ greater_or_equal(D,B)
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('theBenchmark.p',a10_56) ).
cnf(a12_57,hypothesis,
( decreases(difference(founding_rate(first_movers,B),founding_rate(efficient_producers,B)))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('theBenchmark.p',a12_57) ).
cnf(prove_t3_58,negated_conjecture,
environment(sk1),
file('theBenchmark.p',prove_t3_58) ).
cnf(prove_t3_59,negated_conjecture,
in_environment(sk1,critical_point(sk1)),
file('theBenchmark.p',prove_t3_59) ).
cnf(prove_t3_60,negated_conjecture,
greater_or_equal(sk2,appear(efficient_producers,sk1)),
file('theBenchmark.p',prove_t3_60) ).
cnf(prove_t3_61,negated_conjecture,
greater(critical_point(sk1),sk2),
file('theBenchmark.p',prove_t3_61) ).
cnf(prove_t3_62,negated_conjecture,
~ selection_favors(first_movers,efficient_producers,sk2),
file('theBenchmark.p',prove_t3_62) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( growth_rate(Eq_x_0,Eq_x_1) = growth_rate(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( disbanding_rate(Eq_x_0,Eq_x_1) = disbanding_rate(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( difference(Eq_x_0,Eq_x_1) = difference(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( critical_point(Eq_x_0) = critical_point(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( appear(Eq_x_0,Eq_x_1) = appear(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( founding_rate(Eq_x_0,Eq_x_1) = founding_rate(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( start_time(Eq_x_0) = start_time(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( cardinality_at_time(Eq_x_0,Eq_x_1) = cardinality_at_time(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( environment(Eq_y_0)
| ~ environment(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( subpopulations(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ subpopulations(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_14,axiom,
( greater(Eq_y_0,Eq_y_1)
| ~ greater(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_15,axiom,
( selection_favors(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ selection_favors(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_16,axiom,
( decreases(Eq_y_0)
| ~ decreases(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_17,axiom,
( in_environment(Eq_y_0,Eq_y_1)
| ~ in_environment(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_18,axiom,
( greater_or_equal(Eq_y_0,Eq_y_1)
| ~ greater_or_equal(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT034-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n020.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sat Sep 19 16:15:02 UTC 2026
% 0.08/0.37 % CPUTime :
% 34.54/34.89 % SZS status Unsatisfiable for theBenchmark
% 34.54/34.89 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------