%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT025-1 : 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 : n017.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 08:50:38 AM UTC 2026
% Result : Unsatisfiable 30.55s 30.84s
% Output : Proof 30.55s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_only_members_27,axiom,
( number_of_organizations(A,C) = sum(cardinality_at_time(first_movers,C),cardinality_at_time(efficient_producers,C))
| greater(cardinality_at_time(B,C),zero)
| ~ subpopulation(B,A,C)
| ~ environment(A) ),
file('theBenchmark.p',mp_only_members_27) ).
cnf(mp_only_members_28,axiom,
( number_of_organizations(A,C) = sum(cardinality_at_time(first_movers,C),cardinality_at_time(efficient_producers,C))
| B != efficient_producers
| ~ subpopulation(B,A,C)
| ~ environment(A) ),
file('theBenchmark.p',mp_only_members_28) ).
cnf(mp_only_members_29,axiom,
( number_of_organizations(A,C) = sum(cardinality_at_time(first_movers,C),cardinality_at_time(efficient_producers,C))
| B != first_movers
| ~ subpopulation(B,A,C)
| ~ environment(A) ),
file('theBenchmark.p',mp_only_members_29) ).
cnf(mp_subpopulations_30,axiom,
( subpopulation(first_movers,A,B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_subpopulations_30) ).
cnf(mp_subpopulations_31,axiom,
( subpopulation(efficient_producers,A,B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_subpopulations_31) ).
cnf(mp_abc_sum_increase_32,axiom,
( decreases(B)
| increases(B)
| constant(B)
| ~ constant(A)
| A != sum(B,C) ),
file('theBenchmark.p',mp_abc_sum_increase_32) ).
cnf(mp_abc_sum_increase_33,axiom,
( increases(C)
| increases(B)
| constant(B)
| ~ constant(A)
| A != sum(B,C) ),
file('theBenchmark.p',mp_abc_sum_increase_33) ).
cnf(mp_abc_sum_increase_34,axiom,
( decreases(B)
| decreases(C)
| constant(B)
| ~ constant(A)
| A != sum(B,C) ),
file('theBenchmark.p',mp_abc_sum_increase_34) ).
cnf(mp_abc_sum_increase_35,axiom,
( increases(C)
| decreases(C)
| constant(B)
| ~ constant(A)
| A != sum(B,C) ),
file('theBenchmark.p',mp_abc_sum_increase_35) ).
cnf(mp_abc_sum_increase_36,axiom,
( decreases(B)
| increases(B)
| constant(C)
| ~ constant(A)
| A != sum(B,C) ),
file('theBenchmark.p',mp_abc_sum_increase_36) ).
cnf(mp_abc_sum_increase_37,axiom,
( increases(C)
| increases(B)
| constant(C)
| ~ constant(A)
| A != sum(B,C) ),
file('theBenchmark.p',mp_abc_sum_increase_37) ).
cnf(mp_abc_sum_increase_38,axiom,
( decreases(B)
| decreases(C)
| constant(C)
| ~ constant(A)
| A != sum(B,C) ),
file('theBenchmark.p',mp_abc_sum_increase_38) ).
cnf(mp_abc_sum_increase_39,axiom,
( increases(C)
| decreases(C)
| constant(C)
| ~ constant(A)
| A != sum(B,C) ),
file('theBenchmark.p',mp_abc_sum_increase_39) ).
cnf(mp_growth_rate_40,axiom,
( growth_rate(C,B) = zero
| ~ constant(cardinality_at_time(C,B))
| ~ greater(cardinality_at_time(C,B),zero)
| ~ subpopulation(C,A,B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_growth_rate_40) ).
cnf(mp_growth_rate_41,axiom,
( greater(growth_rate(C,B),zero)
| ~ increases(cardinality_at_time(C,B))
| ~ greater(cardinality_at_time(C,B),zero)
| ~ subpopulation(C,A,B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_growth_rate_41) ).
cnf(mp_growth_rate_42,axiom,
( greater(zero,growth_rate(C,B))
| ~ decreases(cardinality_at_time(C,B))
| ~ greater(cardinality_at_time(C,B),zero)
| ~ subpopulation(C,A,B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_growth_rate_42) ).
cnf(mp_non_zero_producers_43,axiom,
( greater(cardinality_at_time(first_movers,B),zero)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_non_zero_producers_43) ).
cnf(mp_non_zero_producers_44,axiom,
( greater(cardinality_at_time(efficient_producers,B),zero)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_non_zero_producers_44) ).
cnf(mp_time_point_occur_45,axiom,
( in_environment(A,B)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_time_point_occur_45) ).
cnf(a9_46,hypothesis,
( B = first_movers
| B = efficient_producers
| ~ greater(cardinality_at_time(B,C),zero)
| ~ subpopulation(B,A,C)
| ~ environment(A) ),
file('theBenchmark.p',a9_46) ).
cnf(prove_l7_47,negated_conjecture,
environment(sk1),
file('theBenchmark.p',prove_l7_47) ).
cnf(prove_l7_48,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('theBenchmark.p',prove_l7_48) ).
cnf(prove_l7_49,negated_conjecture,
constant(number_of_organizations(sk1,sk2)),
file('theBenchmark.p',prove_l7_49) ).
cnf(prove_l7_50,negated_conjecture,
( growth_rate(efficient_producers,sk2) != zero
| growth_rate(first_movers,sk2) != zero ),
file('theBenchmark.p',prove_l7_50) ).
cnf(prove_l7_51,negated_conjecture,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater(growth_rate(first_movers,sk2),zero) ),
file('theBenchmark.p',prove_l7_51) ).
cnf(prove_l7_52,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,sk2))
| ~ greater(growth_rate(efficient_producers,sk2),zero) ),
file('theBenchmark.p',prove_l7_52) ).
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,
( 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_5,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_6,axiom,
( sum(Eq_x_0,Eq_x_1) = sum(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,
( subpopulation(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ subpopulation(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_10,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_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,
( constant(Eq_y_0)
| ~ constant(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( increases(Eq_y_0)
| ~ increases(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_14,axiom,
( decreases(Eq_y_0)
| ~ decreases(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_15,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(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT025-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.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 16:07:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 30.55/30.84 % SZS status Unsatisfiable for theBenchmark
% 30.55/30.84 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------