%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT023-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 08:50:37 AM UTC 2026
% Result : Unsatisfiable 30.36s 30.62s
% Output : Proof 30.36s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_earliest_time_growth_rate_exceeds_19,axiom,
( in_environment(A,sk2(A))
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_19) ).
cnf(mp_earliest_time_growth_rate_exceeds_20,axiom,
( in_environment(A,sk2(A))
| greater_or_equal(sk1(B,A),B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_20) ).
cnf(mp_earliest_time_growth_rate_exceeds_21,axiom,
( ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A)))
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_21) ).
cnf(mp_earliest_time_growth_rate_exceeds_22,axiom,
( greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ~ greater(C,sk2(A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_22) ).
cnf(mp_earliest_time_growth_rate_exceeds_23,axiom,
( ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A)))
| greater_or_equal(sk1(B,A),B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_23) ).
cnf(mp_earliest_time_growth_rate_exceeds_24,axiom,
( greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ~ greater(C,sk2(A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| greater_or_equal(sk1(B,A),B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_24) ).
cnf(mp_earliest_time_growth_rate_exceeds_25,axiom,
( in_environment(A,sk2(A))
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_25) ).
cnf(mp_earliest_time_growth_rate_exceeds_26,axiom,
( ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A)))
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_26) ).
cnf(mp_earliest_time_growth_rate_exceeds_27,axiom,
( greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ~ greater(C,sk2(A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_27) ).
cnf(d1_28,hypothesis,
( B = critical_point(A)
| subpopulations(first_movers,efficient_producers,A,sk3(B,A))
| ~ in_environment(A,B)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ environment(A) ),
file('theBenchmark.p',d1_28) ).
cnf(d1_29,hypothesis,
( B = critical_point(A)
| greater(sk3(B,A),B)
| ~ in_environment(A,B)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ environment(A) ),
file('theBenchmark.p',d1_29) ).
cnf(d1_30,hypothesis,
( B = critical_point(A)
| ~ greater(growth_rate(efficient_producers,sk3(B,A)),growth_rate(first_movers,sk3(B,A)))
| ~ in_environment(A,B)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ environment(A) ),
file('theBenchmark.p',d1_30) ).
cnf(l1_31,hypothesis,
( in_environment(A,sk4(A))
| ~ stable(A)
| ~ environment(A) ),
file('theBenchmark.p',l1_31) ).
cnf(l1_32,hypothesis,
( greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ greater_or_equal(B,sk4(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ stable(A)
| ~ environment(A) ),
file('theBenchmark.p',l1_32) ).
cnf(prove_l5_33,negated_conjecture,
environment(sk5),
file('theBenchmark.p',prove_l5_33) ).
cnf(prove_l5_34,negated_conjecture,
stable(sk5),
file('theBenchmark.p',prove_l5_34) ).
cnf(prove_l5_35,negated_conjecture,
~ in_environment(sk5,critical_point(sk5)),
file('theBenchmark.p',prove_l5_35) ).
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,
( sk1(Eq_x_0,Eq_x_1) = sk1(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,
( sk2(Eq_x_0) = sk2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,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_7,axiom,
( sk3(Eq_x_0,Eq_x_1) = sk3(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( critical_point(Eq_x_0) = critical_point(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( sk4(Eq_x_0) = sk4(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( environment(Eq_y_0)
| ~ environment(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_11,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_12,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_13,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(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,
( stable(Eq_y_0)
| ~ stable(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT023-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 19 16:14:44 UTC 2026
% 0.10/0.36 % CPUTime :
% 30.36/30.62 % SZS status Unsatisfiable for theBenchmark
% 30.36/30.62 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------