%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT024-1 : 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 : n019.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 30.15s 30.41s
% Output : Proof 30.15s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_time_point_occur_24,axiom,
( in_environment(A,B)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_time_point_occur_24) ).
cnf(mp_positive_number_of_organizations_25,axiom,
( greater(number_of_organizations(A,B),zero)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_positive_number_of_organizations_25) ).
cnf(mp_equilibrium_26,axiom,
( ~ greater(equilibrium(A),B)
| ~ greater_or_equal(B,equilibrium(A))
| ~ environment(A) ),
file('theBenchmark.p',mp_equilibrium_26) ).
cnf(a3_27,hypothesis,
( decreases(resources(A,B))
| ~ greater(equilibrium(A),B)
| ~ greater(number_of_organizations(A,B),zero)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',a3_27) ).
cnf(a3_28,hypothesis,
( constant(resources(A,B))
| greater(equilibrium(A),B)
| ~ greater(number_of_organizations(A,B),zero)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',a3_28) ).
cnf(a6_29,hypothesis,
( ~ decreases(number_of_organizations(A,B))
| ~ decreases(resources(A,B))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',a6_29) ).
cnf(a6_30,hypothesis,
( constant(number_of_organizations(A,B))
| ~ constant(resources(A,B))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',a6_30) ).
cnf(l7_31,hypothesis,
( greater(growth_rate(efficient_producers,B),zero)
| greater(growth_rate(first_movers,B),zero)
| growth_rate(first_movers,B) = zero
| ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('theBenchmark.p',l7_31) ).
cnf(l7_32,hypothesis,
( greater(zero,growth_rate(first_movers,B))
| greater(growth_rate(first_movers,B),zero)
| growth_rate(first_movers,B) = zero
| ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('theBenchmark.p',l7_32) ).
cnf(l7_33,hypothesis,
( greater(growth_rate(efficient_producers,B),zero)
| greater(zero,growth_rate(efficient_producers,B))
| growth_rate(first_movers,B) = zero
| ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('theBenchmark.p',l7_33) ).
cnf(l7_34,hypothesis,
( greater(zero,growth_rate(first_movers,B))
| greater(zero,growth_rate(efficient_producers,B))
| growth_rate(first_movers,B) = zero
| ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('theBenchmark.p',l7_34) ).
cnf(l7_35,hypothesis,
( greater(growth_rate(efficient_producers,B),zero)
| greater(growth_rate(first_movers,B),zero)
| growth_rate(efficient_producers,B) = zero
| ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('theBenchmark.p',l7_35) ).
cnf(l7_36,hypothesis,
( greater(zero,growth_rate(first_movers,B))
| greater(growth_rate(first_movers,B),zero)
| growth_rate(efficient_producers,B) = zero
| ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('theBenchmark.p',l7_36) ).
cnf(l7_37,hypothesis,
( greater(growth_rate(efficient_producers,B),zero)
| greater(zero,growth_rate(efficient_producers,B))
| growth_rate(efficient_producers,B) = zero
| ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('theBenchmark.p',l7_37) ).
cnf(l7_38,hypothesis,
( greater(zero,growth_rate(first_movers,B))
| greater(zero,growth_rate(efficient_producers,B))
| growth_rate(efficient_producers,B) = zero
| ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('theBenchmark.p',l7_38) ).
cnf(prove_l6_39,negated_conjecture,
environment(sk1),
file('theBenchmark.p',prove_l6_39) ).
cnf(prove_l6_40,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('theBenchmark.p',prove_l6_40) ).
cnf(prove_l6_41,negated_conjecture,
greater_or_equal(sk2,equilibrium(sk1)),
file('theBenchmark.p',prove_l6_41) ).
cnf(prove_l6_42,negated_conjecture,
( growth_rate(efficient_producers,sk2) != zero
| growth_rate(first_movers,sk2) != zero ),
file('theBenchmark.p',prove_l6_42) ).
cnf(prove_l6_43,negated_conjecture,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater(growth_rate(first_movers,sk2),zero) ),
file('theBenchmark.p',prove_l6_43) ).
cnf(prove_l6_44,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,sk2))
| ~ greater(growth_rate(efficient_producers,sk2),zero) ),
file('theBenchmark.p',prove_l6_44) ).
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,
( number_of_organizations(Eq_x_0,Eq_x_1) = number_of_organizations(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,
( equilibrium(Eq_x_0) = equilibrium(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( resources(Eq_x_0,Eq_x_1) = resources(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,
( 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_8,axiom,
( environment(Eq_y_0)
| ~ environment(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_9,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_10,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_11,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_12,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_13,axiom,
( decreases(Eq_y_0)
| ~ decreases(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_14,axiom,
( constant(Eq_y_0)
| ~ constant(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
% 0.00/0.02 % Problem : MGT024-1 : 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
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 19 16:12:35 UTC 2026
% 0.10/0.38 % CPUTime :
% 30.15/30.41 % SZS status Unsatisfiable for theBenchmark
% 30.15/30.41 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------