TSTP Solution File: MGT034-2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : MGT034-2 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 : Mon Jun 24 11:48:46 EDT 2024
% Result : Unsatisfiable 7.40s 1.60s
% Output : CNFRefutation 7.40s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ greater(growth_rate(X0,X1),growth_rate(X2,X1))
| ~ subpopulations(X2,X0,X3,X1)
| ~ environment(X3)
| selection_favors(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates_33) ).
cnf(c_50,plain,
( ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ environment(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_34) ).
cnf(c_51,plain,
( ~ in_environment(X0,critical_point(X0))
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,critical_point(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_point_means_FM_and_EP_35) ).
cnf(c_52,plain,
( ~ in_environment(X0,appear(efficient_producers,X0))
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_and_EP_when_EP_appears_36) ).
cnf(c_53,plain,
( ~ decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0)))
| decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_difference_between_founding_rates_37) ).
cnf(c_54,plain,
( ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ greater_or_equal(X1,appear(efficient_producers,X2))
| ~ greater(X0,X1)
| ~ in_environment(X2,X0)
| ~ environment(X2)
| greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_decreasing_function_38) ).
cnf(c_55,plain,
( ~ greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_negative_growth_rate_difference_39) ).
cnf(c_57,plain,
( ~ greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_growth_rate_difference_41) ).
cnf(c_62,plain,
( ~ greater_or_equal(X0,appear(efficient_producers,X1))
| ~ greater(critical_point(X1),X0)
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1)
| in_environment(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_time_points_46) ).
cnf(c_64,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| subpopulations(efficient_producers,first_movers,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations_48) ).
cnf(c_65,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater_or_equal(X1,appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_and_EP_members_EP_appeared_49) ).
cnf(c_66,plain,
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_50) ).
cnf(c_67,plain,
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_51) ).
cnf(c_68,plain,
( X0 != X1
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_52) ).
cnf(c_69,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_relationship_of_growth_rates_53) ).
cnf(c_70,plain,
( critical_point(X0) != X1
| ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_54) ).
cnf(c_72,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,X3)
| ~ greater_or_equal(X3,X1)
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a10_56) ).
cnf(c_73,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a12_57) ).
cnf(c_74,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_58) ).
cnf(c_75,negated_conjecture,
in_environment(sk1,critical_point(sk1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_59) ).
cnf(c_76,negated_conjecture,
greater_or_equal(sk2,appear(efficient_producers,sk1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_60) ).
cnf(c_77,negated_conjecture,
greater(critical_point(sk1),sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_61) ).
cnf(c_78,negated_conjecture,
~ selection_favors(first_movers,efficient_producers,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_62) ).
cnf(c_79,plain,
greater_or_equal(X0,X0),
inference(unflattening,[status(thm)],[c_68]) ).
cnf(c_80,plain,
( ~ greater(growth_rate(efficient_producers,critical_point(X0)),growth_rate(first_movers,critical_point(X0)))
| ~ environment(X0) ),
inference(unflattening,[status(thm)],[c_70]) ).
cnf(c_117,plain,
( ~ environment(X0)
| ~ greater(growth_rate(efficient_producers,critical_point(X0)),growth_rate(first_movers,critical_point(X0))) ),
inference(prop_impl_just,[status(thm)],[c_80]) ).
cnf(c_118,plain,
( ~ greater(growth_rate(efficient_producers,critical_point(X0)),growth_rate(first_movers,critical_point(X0)))
| ~ environment(X0) ),
inference(renaming,[status(thm)],[c_117]) ).
cnf(c_550,plain,
( X0 != first_movers
| X1 != sk2
| X2 != efficient_producers
| ~ greater(growth_rate(X0,X1),growth_rate(X2,X1))
| ~ subpopulations(X2,X0,X3,X1)
| ~ environment(X3) ),
inference(resolution_lifted,[status(thm)],[c_49,c_78]) ).
cnf(c_551,plain,
( ~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))
| ~ subpopulations(efficient_producers,first_movers,X0,sk2)
| ~ environment(X0) ),
inference(unflattening,[status(thm)],[c_550]) ).
cnf(c_565,plain,
( X0 != sk1
| ~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))
| ~ subpopulations(efficient_producers,first_movers,X0,sk2) ),
inference(resolution_lifted,[status(thm)],[c_551,c_74]) ).
cnf(c_566,plain,
( ~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))
| ~ subpopulations(efficient_producers,first_movers,sk1,sk2) ),
inference(unflattening,[status(thm)],[c_565]) ).
cnf(c_585,plain,
( X0 != sk1
| ~ greater(growth_rate(efficient_producers,critical_point(X0)),growth_rate(first_movers,critical_point(X0))) ),
inference(resolution_lifted,[status(thm)],[c_118,c_74]) ).
cnf(c_586,plain,
~ greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))),
inference(unflattening,[status(thm)],[c_585]) ).
cnf(c_590,plain,
( X0 != sk1
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ),
inference(resolution_lifted,[status(thm)],[c_73,c_74]) ).
cnf(c_591,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0))) ),
inference(unflattening,[status(thm)],[c_590]) ).
cnf(c_599,plain,
( X0 != sk1
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,X3)
| ~ greater_or_equal(X3,X1)
| subpopulations(first_movers,efficient_producers,X0,X3) ),
inference(resolution_lifted,[status(thm)],[c_72,c_74]) ).
cnf(c_600,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ greater_or_equal(X1,X2)
| ~ greater_or_equal(X2,X0)
| subpopulations(first_movers,efficient_producers,sk1,X2) ),
inference(unflattening,[status(thm)],[c_599]) ).
cnf(c_616,plain,
( X0 != sk1
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
inference(resolution_lifted,[status(thm)],[c_69,c_74]) ).
cnf(c_617,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) ),
inference(unflattening,[status(thm)],[c_616]) ).
cnf(c_628,plain,
( X0 != sk1
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater_or_equal(X1,appear(efficient_producers,X0)) ),
inference(resolution_lifted,[status(thm)],[c_65,c_74]) ).
cnf(c_629,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| greater_or_equal(X0,appear(efficient_producers,sk1)) ),
inference(unflattening,[status(thm)],[c_628]) ).
cnf(c_637,plain,
( X0 != sk1
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| subpopulations(efficient_producers,first_movers,X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_64,c_74]) ).
cnf(c_638,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| subpopulations(efficient_producers,first_movers,sk1,X0) ),
inference(unflattening,[status(thm)],[c_637]) ).
cnf(c_673,plain,
( X0 != sk1
| ~ in_environment(X0,appear(efficient_producers,X0))
| subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0)) ),
inference(resolution_lifted,[status(thm)],[c_52,c_74]) ).
cnf(c_674,plain,
( ~ in_environment(sk1,appear(efficient_producers,sk1))
| subpopulations(first_movers,efficient_producers,sk1,appear(efficient_producers,sk1)) ),
inference(unflattening,[status(thm)],[c_673]) ).
cnf(c_681,plain,
( X0 != sk1
| ~ in_environment(X0,critical_point(X0))
| subpopulations(first_movers,efficient_producers,X0,critical_point(X0)) ),
inference(resolution_lifted,[status(thm)],[c_51,c_74]) ).
cnf(c_682,plain,
( ~ in_environment(sk1,critical_point(sk1))
| subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1)) ),
inference(unflattening,[status(thm)],[c_681]) ).
cnf(c_683,plain,
subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1)),
inference(global_subsumption_just,[status(thm)],[c_682,c_75,c_682]) ).
cnf(c_703,plain,
( X0 != sk1
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ greater(critical_point(X0),X1)
| ~ in_environment(X0,critical_point(X0))
| in_environment(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_62,c_74]) ).
cnf(c_704,plain,
( ~ greater_or_equal(X0,appear(efficient_producers,sk1))
| ~ greater(critical_point(sk1),X0)
| ~ in_environment(sk1,critical_point(sk1))
| in_environment(sk1,X0) ),
inference(unflattening,[status(thm)],[c_703]) ).
cnf(c_706,plain,
( ~ greater(critical_point(sk1),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sk1))
| in_environment(sk1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_704,c_75,c_704]) ).
cnf(c_707,plain,
( ~ greater_or_equal(X0,appear(efficient_producers,sk1))
| ~ greater(critical_point(sk1),X0)
| in_environment(sk1,X0) ),
inference(renaming,[status(thm)],[c_706]) ).
cnf(c_718,plain,
( X0 != sk1
| ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_74]) ).
cnf(c_719,plain,
( ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ subpopulations(first_movers,efficient_producers,sk1,X0) ),
inference(unflattening,[status(thm)],[c_718]) ).
cnf(c_727,plain,
( X0 != sk1
| ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ decreases(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)))
| ~ greater_or_equal(X2,appear(efficient_producers,X0))
| ~ greater(X1,X2)
| ~ in_environment(X0,X1)
| greater(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero) ),
inference(resolution_lifted,[status(thm)],[c_54,c_74]) ).
cnf(c_728,plain,
( ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ greater_or_equal(X1,appear(efficient_producers,sk1))
| ~ greater(X0,X1)
| ~ in_environment(sk1,X0)
| greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
inference(unflattening,[status(thm)],[c_727]) ).
cnf(c_793,plain,
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
inference(prop_impl_just,[status(thm)],[c_55]) ).
cnf(c_794,plain,
( ~ greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(renaming,[status(thm)],[c_793]) ).
cnf(c_803,plain,
( decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0)))
| ~ subpopulations(first_movers,efficient_producers,sk1,X0) ),
inference(prop_impl_just,[status(thm)],[c_591]) ).
cnf(c_804,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0))) ),
inference(renaming,[status(thm)],[c_803]) ).
cnf(c_809,plain,
( ~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))
| ~ subpopulations(efficient_producers,first_movers,sk1,sk2) ),
inference(prop_impl_just,[status(thm)],[c_566]) ).
cnf(c_817,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| greater_or_equal(X0,appear(efficient_producers,sk1)) ),
inference(prop_impl_just,[status(thm)],[c_629]) ).
cnf(c_819,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| subpopulations(efficient_producers,first_movers,sk1,X0) ),
inference(prop_impl_just,[status(thm)],[c_638]) ).
cnf(c_825,plain,
( ~ in_environment(sk1,appear(efficient_producers,sk1))
| subpopulations(first_movers,efficient_producers,sk1,appear(efficient_producers,sk1)) ),
inference(prop_impl_just,[status(thm)],[c_674]) ).
cnf(c_885,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(bin_hyper_res,[status(thm)],[c_617,c_794]) ).
cnf(c_1145,plain,
critical_point(sk1) = sP0_iProver_def,
definition ).
cnf(c_1146,plain,
appear(efficient_producers,sk1) = sP1_iProver_def,
definition ).
cnf(c_1147,negated_conjecture,
greater(sP0_iProver_def,sk2),
inference(demodulation,[status(thm)],[c_77,c_1145]) ).
cnf(c_1148,negated_conjecture,
greater_or_equal(sk2,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_76,c_1146]) ).
cnf(c_1149,negated_conjecture,
in_environment(sk1,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_75]) ).
cnf(c_1901,plain,
subpopulations(first_movers,efficient_producers,sk1,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_683,c_1145]) ).
cnf(c_1902,plain,
~ greater(growth_rate(efficient_producers,sP0_iProver_def),growth_rate(first_movers,sP0_iProver_def)),
inference(light_normalisation,[status(thm)],[c_586,c_1145]) ).
cnf(c_1903,plain,
( ~ greater(sP0_iProver_def,X0)
| ~ greater_or_equal(X0,sP1_iProver_def)
| in_environment(sk1,X0) ),
inference(light_normalisation,[status(thm)],[c_707,c_1145,c_1146]) ).
cnf(c_1909,plain,
( ~ greater(sP0_iProver_def,sP1_iProver_def)
| in_environment(sk1,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_79,c_1903]) ).
cnf(c_1916,plain,
greater_or_equal(sP0_iProver_def,sk2),
inference(superposition,[status(thm)],[c_1147,c_67]) ).
cnf(c_2014,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ greater_or_equal(X1,X0)
| ~ greater_or_equal(sP0_iProver_def,X1)
| subpopulations(first_movers,efficient_producers,sk1,X1) ),
inference(superposition,[status(thm)],[c_1901,c_600]) ).
cnf(c_2019,plain,
( ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ greater(X0,X1)
| ~ in_environment(sk1,X0)
| ~ greater_or_equal(X1,sP1_iProver_def)
| greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
inference(light_normalisation,[status(thm)],[c_728,c_1146]) ).
cnf(c_2038,plain,
( ~ decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| ~ subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ greater(X1,X0)
| ~ in_environment(sk1,X1)
| ~ greater_or_equal(X0,sP1_iProver_def)
| greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(superposition,[status(thm)],[c_885,c_2019]) ).
cnf(c_2066,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| greater_or_equal(X0,sP1_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_817,c_1146]) ).
cnf(c_2073,plain,
greater_or_equal(sP0_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_1901,c_2066]) ).
cnf(c_2079,plain,
( ~ in_environment(sk1,sP1_iProver_def)
| subpopulations(first_movers,efficient_producers,sk1,sP1_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_825,c_1146]) ).
cnf(c_2101,plain,
( sP0_iProver_def = sP1_iProver_def
| greater(sP0_iProver_def,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_2073,c_66]) ).
cnf(c_2115,plain,
( sP0_iProver_def = sP1_iProver_def
| in_environment(sk1,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_2101,c_1909]) ).
cnf(c_2135,plain,
( ~ greater_or_equal(X0,sP0_iProver_def)
| ~ greater_or_equal(sP0_iProver_def,X0)
| subpopulations(first_movers,efficient_producers,sk1,X0) ),
inference(superposition,[status(thm)],[c_1901,c_2014]) ).
cnf(c_2136,plain,
( ~ greater_or_equal(X0,sP1_iProver_def)
| ~ greater_or_equal(sP0_iProver_def,X0)
| ~ in_environment(sk1,sP1_iProver_def)
| subpopulations(first_movers,efficient_producers,sk1,X0) ),
inference(superposition,[status(thm)],[c_2079,c_2014]) ).
cnf(c_2209,plain,
( ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
| ~ subpopulations(first_movers,efficient_producers,sk1,sP0_iProver_def)
| ~ in_environment(sk1,sP0_iProver_def)
| ~ greater_or_equal(sk2,sP1_iProver_def)
| greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
| greater(growth_rate(efficient_producers,sP0_iProver_def),growth_rate(first_movers,sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_1147,c_2038]) ).
cnf(c_2213,plain,
( ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
| greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2209,c_1902,c_1148,c_1149,c_1901]) ).
cnf(c_2298,plain,
( ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
| greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
inference(superposition,[status(thm)],[c_2213,c_57]) ).
cnf(c_2339,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ greater_or_equal(X1,X2)
| ~ greater_or_equal(X2,X0)
| ~ greater_or_equal(X1,sP0_iProver_def)
| ~ greater_or_equal(sP0_iProver_def,X1)
| subpopulations(first_movers,efficient_producers,sk1,X2) ),
inference(superposition,[status(thm)],[c_2135,c_600]) ).
cnf(c_2480,plain,
( ~ greater_or_equal(X0,X1)
| ~ greater_or_equal(X0,sP0_iProver_def)
| ~ greater_or_equal(X1,sP0_iProver_def)
| ~ greater_or_equal(sP0_iProver_def,X0)
| subpopulations(first_movers,efficient_producers,sk1,X1) ),
inference(superposition,[status(thm)],[c_1901,c_2339]) ).
cnf(c_2560,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ),
inference(superposition,[status(thm)],[c_804,c_53]) ).
cnf(c_5755,plain,
( ~ greater_or_equal(sk2,sP0_iProver_def)
| ~ greater_or_equal(sP0_iProver_def,sP0_iProver_def)
| subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(superposition,[status(thm)],[c_1916,c_2480]) ).
cnf(c_5764,plain,
( ~ greater_or_equal(sk2,sP0_iProver_def)
| subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5755,c_79]) ).
cnf(c_13032,plain,
( decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| ~ subpopulations(first_movers,efficient_producers,sk1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2560,c_719,c_2560]) ).
cnf(c_13033,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
inference(renaming,[status(thm)],[c_13032]) ).
cnf(c_13039,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
inference(superposition,[status(thm)],[c_13033,c_2298]) ).
cnf(c_13051,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ subpopulations(efficient_producers,first_movers,sk1,sk2) ),
inference(superposition,[status(thm)],[c_13039,c_809]) ).
cnf(c_13066,plain,
~ subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(forward_subsumption_resolution,[status(thm)],[c_13051,c_819]) ).
cnf(c_13067,plain,
~ greater_or_equal(sk2,sP0_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_5764,c_13066]) ).
cnf(c_13071,plain,
( ~ in_environment(sk1,sP1_iProver_def)
| ~ greater_or_equal(sk2,sP1_iProver_def)
| ~ greater_or_equal(sP0_iProver_def,sk2) ),
inference(superposition,[status(thm)],[c_2136,c_13066]) ).
cnf(c_13073,plain,
~ in_environment(sk1,sP1_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_13071,c_1916,c_1148]) ).
cnf(c_13074,plain,
sP0_iProver_def = sP1_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_2115,c_13073]) ).
cnf(c_13091,plain,
greater_or_equal(sk2,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_1148,c_13074]) ).
cnf(c_13130,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_13091,c_13067]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : MGT034-2 : TPTP v8.2.0. Released v2.4.0.
% 0.02/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n015.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Jun 19 18:00:39 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.18/0.44 Running first-order theorem proving
% 0.18/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.40/1.60 % SZS status Started for theBenchmark.p
% 7.40/1.60 % SZS status Unsatisfiable for theBenchmark.p
% 7.40/1.60
% 7.40/1.60 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.40/1.60
% 7.40/1.60 ------ iProver source info
% 7.40/1.60
% 7.40/1.60 git: date: 2024-06-12 09:56:46 +0000
% 7.40/1.60 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.40/1.60 git: non_committed_changes: false
% 7.40/1.60
% 7.40/1.60 ------ Parsing...successful
% 7.40/1.60
% 7.40/1.60
% 7.40/1.60
% 7.40/1.60 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 7.40/1.60
% 7.40/1.60 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.40/1.60
% 7.40/1.60 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.40/1.60 ------ Proving...
% 7.40/1.60 ------ Problem Properties
% 7.40/1.60
% 7.40/1.60
% 7.40/1.60 clauses 30
% 7.40/1.60 conjectures 3
% 7.40/1.60 EPR 9
% 7.40/1.60 Horn 27
% 7.40/1.60 unary 10
% 7.40/1.60 binary 11
% 7.40/1.60 lits 67
% 7.40/1.60 lits eq 3
% 7.40/1.60 fd_pure 0
% 7.40/1.60 fd_pseudo 0
% 7.40/1.60 fd_cond 0
% 7.40/1.60 fd_pseudo_cond 1
% 7.40/1.60 AC symbols 0
% 7.40/1.60
% 7.40/1.60 ------ Schedule dynamic 5 is on
% 7.40/1.60
% 7.40/1.60 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.40/1.60
% 7.40/1.60
% 7.40/1.60 ------
% 7.40/1.60 Current options:
% 7.40/1.60 ------
% 7.40/1.60
% 7.40/1.60
% 7.40/1.60
% 7.40/1.60
% 7.40/1.60 ------ Proving...
% 7.40/1.60
% 7.40/1.60
% 7.40/1.60 % SZS status Unsatisfiable for theBenchmark.p
% 7.40/1.60
% 7.40/1.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.40/1.60
% 7.40/1.60
%------------------------------------------------------------------------------