TSTP Solution File: MGT037-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : MGT037-1 : TPTP v8.1.2. 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 : Fri May 3 02:43:32 EDT 2024
% Result : Unsatisfiable 2.72s 1.11s
% Output : CNFRefutation 2.72s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
( cardinality_at_time(efficient_producers,X0) != zero
| ~ greater_or_equal(X0,appear(efficient_producers,X1))
| ~ environment(X1)
| in_environment(X1,sk1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_previous_negative_growth_29) ).
cnf(c_52,plain,
( cardinality_at_time(efficient_producers,X0) != zero
| ~ greater_or_equal(X0,appear(efficient_producers,X1))
| ~ environment(X1)
| greater(zero,growth_rate(efficient_producers,sk1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_previous_negative_growth_31) ).
cnf(c_53,plain,
( ~ greater(appear(an_organisation,X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| number_of_organizations(X0,X1) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_start_of_organizations_32) ).
cnf(c_54,plain,
( ~ in_environment(X0,X1)
| ~ environment(X0)
| subpopulation(sk2(X1,X0),X0,X1)
| decreases(number_of_organizations(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_decreasing_33) ).
cnf(c_55,plain,
( ~ in_environment(X0,X1)
| ~ environment(X0)
| greater(cardinality_at_time(sk2(X1,X0),X1),zero)
| decreases(number_of_organizations(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_decreasing_34) ).
cnf(c_56,plain,
( ~ greater(zero,growth_rate(sk2(X0,X1),X0))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| decreases(number_of_organizations(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_decreasing_35) ).
cnf(c_57,plain,
( number_of_organizations(X0,X1) != zero
| ~ subpopulation(X2,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| cardinality_at_time(X2,X1) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_no_members_36) ).
cnf(c_59,plain,
( ~ in_environment(X0,X1)
| ~ environment(X0)
| subpopulation(efficient_producers,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations_38) ).
cnf(c_60,plain,
( cardinality_at_time(X0,X1) != zero
| ~ greater(zero,growth_rate(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_empty_not_decreasing_39) ).
cnf(c_61,plain,
( ~ in_environment(X0,X1)
| ~ environment(X0)
| cardinality_at_time(efficient_producers,X1) = zero
| greater(cardinality_at_time(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_efficient_producers_exist_40) ).
cnf(c_62,plain,
( ~ decreases(X0)
| ~ constant(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_constant_not_decrease_41) ).
cnf(c_63,plain,
( ~ in_environment(X0,X1)
| ~ environment(X0)
| greater_or_equal(X1,appear(an_organisation,X0))
| greater(appear(an_organisation,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_inequality_42) ).
cnf(c_64,plain,
( ~ greater(number_of_organizations(X0,X1),zero)
| ~ greater(equilibrium(X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| decreases(resources(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_43) ).
cnf(c_65,plain,
( ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| greater(equilibrium(X0),X1)
| constant(resources(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_44) ).
cnf(c_66,plain,
( ~ greater_or_equal(X0,appear(an_organisation,X1))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| greater(number_of_organizations(X1,X0),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_45) ).
cnf(c_67,plain,
( ~ decreases(number_of_organizations(X0,X1))
| ~ decreases(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_46) ).
cnf(c_68,plain,
( ~ constant(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| constant(number_of_organizations(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_47) ).
cnf(c_69,plain,
( ~ greater(resilience(X0),resilience(X1))
| ~ greater(zero,growth_rate(X0,X2))
| ~ in_environment(X3,X2)
| ~ environment(X3)
| greater(zero,growth_rate(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12_48) ).
cnf(c_70,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_49) ).
cnf(c_71,plain,
( ~ greater(cardinality_at_time(X0,X1),zero)
| ~ subpopulation(X0,X2,X1)
| ~ environment(X2)
| X0 = efficient_producers
| X0 = first_movers ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a9_50) ).
cnf(c_72,negated_conjecture,
environment(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t6_51) ).
cnf(c_73,negated_conjecture,
in_environment(sk3,sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t6_52) ).
cnf(c_74,negated_conjecture,
greater_or_equal(sk4,appear(efficient_producers,sk3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t6_53) ).
cnf(c_75,negated_conjecture,
~ greater(cardinality_at_time(efficient_producers,sk4),zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t6_54) ).
cnf(c_485,plain,
( sk2(X0,X1) != X2
| X0 != X4
| X1 != X3
| ~ greater(cardinality_at_time(X2,X4),zero)
| ~ in_environment(X1,X0)
| ~ environment(X1)
| ~ environment(X3)
| X2 = efficient_producers
| X2 = first_movers
| decreases(number_of_organizations(X1,X0)) ),
inference(resolution_lifted,[status(thm)],[c_54,c_71]) ).
cnf(c_486,plain,
( ~ greater(cardinality_at_time(sk2(X0,X1),X0),zero)
| ~ in_environment(X1,X0)
| ~ environment(X1)
| sk2(X0,X1) = efficient_producers
| sk2(X0,X1) = first_movers
| decreases(number_of_organizations(X1,X0)) ),
inference(unflattening,[status(thm)],[c_485]) ).
cnf(c_500,plain,
( ~ in_environment(X0,X1)
| ~ environment(X0)
| sk2(X1,X0) = efficient_producers
| sk2(X1,X0) = first_movers
| decreases(number_of_organizations(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_486,c_55]) ).
cnf(c_522,plain,
( number_of_organizations(X0,X1) != zero
| X0 != X2
| X1 != X3
| X4 != efficient_producers
| ~ in_environment(X0,X1)
| ~ in_environment(X2,X3)
| ~ environment(X0)
| ~ environment(X2)
| cardinality_at_time(X4,X1) = zero ),
inference(resolution_lifted,[status(thm)],[c_57,c_59]) ).
cnf(c_523,plain,
( number_of_organizations(X0,X1) != zero
| ~ in_environment(X0,X1)
| ~ environment(X0)
| cardinality_at_time(efficient_producers,X1) = zero ),
inference(unflattening,[status(thm)],[c_522]) ).
cnf(c_809,plain,
( number_of_organizations(X0,X1) != zero
| X0 != sk3
| ~ in_environment(X0,X1)
| cardinality_at_time(efficient_producers,X1) = zero ),
inference(resolution_lifted,[status(thm)],[c_523,c_72]) ).
cnf(c_810,plain,
( number_of_organizations(sk3,X0) != zero
| ~ in_environment(sk3,X0)
| cardinality_at_time(efficient_producers,X0) = zero ),
inference(unflattening,[status(thm)],[c_809]) ).
cnf(c_833,plain,
( X0 != sk3
| ~ in_environment(X0,X1)
| sk2(X1,X0) = efficient_producers
| sk2(X1,X0) = first_movers
| decreases(number_of_organizations(X0,X1)) ),
inference(resolution_lifted,[status(thm)],[c_500,c_72]) ).
cnf(c_834,plain,
( ~ in_environment(sk3,X0)
| sk2(X0,sk3) = efficient_producers
| sk2(X0,sk3) = first_movers
| decreases(number_of_organizations(sk3,X0)) ),
inference(unflattening,[status(thm)],[c_833]) ).
cnf(c_863,plain,
( X0 != sk3
| ~ constant(resources(X0,X1))
| ~ in_environment(X0,X1)
| constant(number_of_organizations(X0,X1)) ),
inference(resolution_lifted,[status(thm)],[c_68,c_72]) ).
cnf(c_864,plain,
( ~ constant(resources(sk3,X0))
| ~ in_environment(sk3,X0)
| constant(number_of_organizations(sk3,X0)) ),
inference(unflattening,[status(thm)],[c_863]) ).
cnf(c_875,plain,
( X0 != sk3
| ~ decreases(number_of_organizations(X0,X1))
| ~ decreases(resources(X0,X1))
| ~ in_environment(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_67,c_72]) ).
cnf(c_876,plain,
( ~ decreases(number_of_organizations(sk3,X0))
| ~ decreases(resources(sk3,X0))
| ~ in_environment(sk3,X0) ),
inference(unflattening,[status(thm)],[c_875]) ).
cnf(c_887,plain,
( X0 != sk3
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| greater(equilibrium(X0),X1)
| constant(resources(X0,X1)) ),
inference(resolution_lifted,[status(thm)],[c_65,c_72]) ).
cnf(c_888,plain,
( ~ greater(number_of_organizations(sk3,X0),zero)
| ~ in_environment(sk3,X0)
| greater(equilibrium(sk3),X0)
| constant(resources(sk3,X0)) ),
inference(unflattening,[status(thm)],[c_887]) ).
cnf(c_902,plain,
( X0 != sk3
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ greater(equilibrium(X0),X1)
| ~ in_environment(X0,X1)
| decreases(resources(X0,X1)) ),
inference(resolution_lifted,[status(thm)],[c_64,c_72]) ).
cnf(c_903,plain,
( ~ greater(number_of_organizations(sk3,X0),zero)
| ~ greater(equilibrium(sk3),X0)
| ~ in_environment(sk3,X0)
| decreases(resources(sk3,X0)) ),
inference(unflattening,[status(thm)],[c_902]) ).
cnf(c_917,plain,
( X0 != sk3
| ~ in_environment(X0,X1)
| greater_or_equal(X1,appear(an_organisation,X0))
| greater(appear(an_organisation,X0),X1) ),
inference(resolution_lifted,[status(thm)],[c_63,c_72]) ).
cnf(c_918,plain,
( ~ in_environment(sk3,X0)
| greater_or_equal(X0,appear(an_organisation,sk3))
| greater(appear(an_organisation,sk3),X0) ),
inference(unflattening,[status(thm)],[c_917]) ).
cnf(c_929,plain,
( X0 != sk3
| ~ in_environment(X0,X1)
| cardinality_at_time(efficient_producers,X1) = zero
| greater(cardinality_at_time(efficient_producers,X1),zero) ),
inference(resolution_lifted,[status(thm)],[c_61,c_72]) ).
cnf(c_930,plain,
( ~ in_environment(sk3,X0)
| cardinality_at_time(efficient_producers,X0) = zero
| greater(cardinality_at_time(efficient_producers,X0),zero) ),
inference(unflattening,[status(thm)],[c_929]) ).
cnf(c_953,plain,
( X0 != sk3
| ~ greater(appear(an_organisation,X0),X1)
| ~ in_environment(X0,X1)
| number_of_organizations(X0,X1) = zero ),
inference(resolution_lifted,[status(thm)],[c_53,c_72]) ).
cnf(c_954,plain,
( ~ greater(appear(an_organisation,sk3),X0)
| ~ in_environment(sk3,X0)
| number_of_organizations(sk3,X0) = zero ),
inference(unflattening,[status(thm)],[c_953]) ).
cnf(c_965,plain,
( X0 != sk3
| ~ greater_or_equal(X1,appear(an_organisation,X0))
| ~ in_environment(X0,X1)
| greater(number_of_organizations(X0,X1),zero) ),
inference(resolution_lifted,[status(thm)],[c_66,c_72]) ).
cnf(c_966,plain,
( ~ greater_or_equal(X0,appear(an_organisation,sk3))
| ~ in_environment(sk3,X0)
| greater(number_of_organizations(sk3,X0),zero) ),
inference(unflattening,[status(thm)],[c_965]) ).
cnf(c_977,plain,
( X0 != sk3
| ~ greater(zero,growth_rate(sk2(X1,X0),X1))
| ~ in_environment(X0,X1)
| decreases(number_of_organizations(X0,X1)) ),
inference(resolution_lifted,[status(thm)],[c_56,c_72]) ).
cnf(c_978,plain,
( ~ greater(zero,growth_rate(sk2(X0,sk3),X0))
| ~ in_environment(sk3,X0)
| decreases(number_of_organizations(sk3,X0)) ),
inference(unflattening,[status(thm)],[c_977]) ).
cnf(c_989,plain,
( cardinality_at_time(efficient_producers,X0) != zero
| X1 != sk3
| ~ greater_or_equal(X0,appear(efficient_producers,X1))
| greater(zero,growth_rate(efficient_producers,sk1(X0,X1))) ),
inference(resolution_lifted,[status(thm)],[c_52,c_72]) ).
cnf(c_990,plain,
( cardinality_at_time(efficient_producers,X0) != zero
| ~ greater_or_equal(X0,appear(efficient_producers,sk3))
| greater(zero,growth_rate(efficient_producers,sk1(X0,sk3))) ),
inference(unflattening,[status(thm)],[c_989]) ).
cnf(c_1013,plain,
( cardinality_at_time(efficient_producers,X0) != zero
| X1 != sk3
| ~ greater_or_equal(X0,appear(efficient_producers,X1))
| in_environment(X1,sk1(X0,X1)) ),
inference(resolution_lifted,[status(thm)],[c_50,c_72]) ).
cnf(c_1014,plain,
( cardinality_at_time(efficient_producers,X0) != zero
| ~ greater_or_equal(X0,appear(efficient_producers,sk3))
| in_environment(sk3,sk1(X0,sk3)) ),
inference(unflattening,[status(thm)],[c_1013]) ).
cnf(c_1037,plain,
( X0 != sk3
| ~ greater(resilience(X1),resilience(X2))
| ~ greater(zero,growth_rate(X1,X3))
| ~ in_environment(X0,X3)
| greater(zero,growth_rate(X2,X3)) ),
inference(resolution_lifted,[status(thm)],[c_69,c_72]) ).
cnf(c_1038,plain,
( ~ greater(resilience(X0),resilience(X1))
| ~ greater(zero,growth_rate(X0,X2))
| ~ in_environment(sk3,X2)
| greater(zero,growth_rate(X1,X2)) ),
inference(unflattening,[status(thm)],[c_1037]) ).
cnf(c_2619,plain,
cardinality_at_time(efficient_producers,sk4) = sP0_iProver_def,
definition ).
cnf(c_2620,plain,
appear(efficient_producers,sk3) = sP1_iProver_def,
definition ).
cnf(c_2621,negated_conjecture,
~ greater(sP0_iProver_def,zero),
inference(demodulation,[status(thm)],[c_75,c_2619]) ).
cnf(c_2622,negated_conjecture,
greater_or_equal(sk4,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_74,c_2620]) ).
cnf(c_2623,negated_conjecture,
in_environment(sk3,sk4),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_3155,plain,
( ~ in_environment(sk3,sk4)
| cardinality_at_time(efficient_producers,sk4) = zero
| greater(sP0_iProver_def,zero) ),
inference(superposition,[status(thm)],[c_2619,c_930]) ).
cnf(c_3156,plain,
( ~ in_environment(sk3,sk4)
| zero = sP0_iProver_def
| greater(sP0_iProver_def,zero) ),
inference(light_normalisation,[status(thm)],[c_3155,c_2619]) ).
cnf(c_3157,plain,
zero = sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_3156,c_2621,c_2623]) ).
cnf(c_3158,plain,
( ~ greater_or_equal(X0,appear(an_organisation,sk3))
| ~ in_environment(sk3,X0)
| greater(number_of_organizations(sk3,X0),sP0_iProver_def) ),
inference(demodulation,[status(thm)],[c_966,c_3157]) ).
cnf(c_3174,plain,
( cardinality_at_time(X0,X1) != sP0_iProver_def
| ~ greater(sP0_iProver_def,growth_rate(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_60,c_3157]) ).
cnf(c_3180,plain,
( ~ greater(appear(an_organisation,sk3),X0)
| ~ in_environment(sk3,X0)
| number_of_organizations(sk3,X0) = sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_954,c_3157]) ).
cnf(c_3187,plain,
( ~ greater(sP0_iProver_def,growth_rate(sk2(X0,sk3),X0))
| ~ in_environment(sk3,X0)
| decreases(number_of_organizations(sk3,X0)) ),
inference(light_normalisation,[status(thm)],[c_978,c_3157]) ).
cnf(c_3194,plain,
( number_of_organizations(sk3,X0) != sP0_iProver_def
| ~ in_environment(sk3,X0)
| cardinality_at_time(efficient_producers,X0) = sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_810,c_3157]) ).
cnf(c_3208,plain,
( ~ greater(number_of_organizations(sk3,X0),sP0_iProver_def)
| ~ in_environment(sk3,X0)
| greater(equilibrium(sk3),X0)
| constant(resources(sk3,X0)) ),
inference(light_normalisation,[status(thm)],[c_888,c_3157]) ).
cnf(c_3226,plain,
( cardinality_at_time(efficient_producers,X0) != sP0_iProver_def
| ~ greater_or_equal(X0,sP1_iProver_def)
| in_environment(sk3,sk1(X0,sk3)) ),
inference(light_normalisation,[status(thm)],[c_1014,c_2620,c_3157]) ).
cnf(c_3233,plain,
( ~ greater_or_equal(sk4,sP1_iProver_def)
| in_environment(sk3,sk1(sk4,sk3)) ),
inference(superposition,[status(thm)],[c_2619,c_3226]) ).
cnf(c_3234,plain,
in_environment(sk3,sk1(sk4,sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_3233,c_2622]) ).
cnf(c_3235,plain,
( ~ greater(resilience(X0),resilience(X1))
| ~ greater(sP0_iProver_def,growth_rate(X0,X2))
| ~ in_environment(sk3,X2)
| greater(sP0_iProver_def,growth_rate(X1,X2)) ),
inference(light_normalisation,[status(thm)],[c_1038,c_3157]) ).
cnf(c_3244,plain,
( ~ greater(sP0_iProver_def,growth_rate(efficient_producers,X0))
| ~ in_environment(sk3,X0)
| greater(sP0_iProver_def,growth_rate(first_movers,X0)) ),
inference(superposition,[status(thm)],[c_70,c_3235]) ).
cnf(c_3255,plain,
( ~ in_environment(sk3,X0)
| greater(number_of_organizations(sk3,X0),sP0_iProver_def)
| greater(appear(an_organisation,sk3),X0) ),
inference(superposition,[status(thm)],[c_918,c_3158]) ).
cnf(c_3283,plain,
( ~ in_environment(sk3,X0)
| greater(appear(an_organisation,sk3),X0)
| greater(equilibrium(sk3),X0)
| constant(resources(sk3,X0)) ),
inference(superposition,[status(thm)],[c_3255,c_3208]) ).
cnf(c_3303,plain,
( ~ in_environment(sk3,X0)
| number_of_organizations(sk3,X0) = sP0_iProver_def
| greater(equilibrium(sk3),X0)
| constant(resources(sk3,X0)) ),
inference(superposition,[status(thm)],[c_3283,c_3180]) ).
cnf(c_3309,plain,
( ~ greater(number_of_organizations(sk3,X0),sP0_iProver_def)
| ~ greater(equilibrium(sk3),X0)
| ~ in_environment(sk3,X0)
| decreases(resources(sk3,X0)) ),
inference(light_normalisation,[status(thm)],[c_903,c_3157]) ).
cnf(c_3318,plain,
( ~ greater(equilibrium(sk3),X0)
| ~ in_environment(sk3,X0)
| greater(appear(an_organisation,sk3),X0)
| decreases(resources(sk3,X0)) ),
inference(superposition,[status(thm)],[c_3255,c_3309]) ).
cnf(c_3338,plain,
( cardinality_at_time(efficient_producers,X0) != sP0_iProver_def
| ~ greater_or_equal(X0,sP1_iProver_def)
| greater(sP0_iProver_def,growth_rate(efficient_producers,sk1(X0,sk3))) ),
inference(light_normalisation,[status(thm)],[c_990,c_2620,c_3157]) ).
cnf(c_3345,plain,
( ~ greater_or_equal(sk4,sP1_iProver_def)
| greater(sP0_iProver_def,growth_rate(efficient_producers,sk1(sk4,sk3))) ),
inference(superposition,[status(thm)],[c_2619,c_3338]) ).
cnf(c_3346,plain,
greater(sP0_iProver_def,growth_rate(efficient_producers,sk1(sk4,sk3))),
inference(forward_subsumption_resolution,[status(thm)],[c_3345,c_2622]) ).
cnf(c_3347,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| greater(sP0_iProver_def,growth_rate(first_movers,sk1(sk4,sk3))) ),
inference(superposition,[status(thm)],[c_3346,c_3244]) ).
cnf(c_3348,plain,
greater(sP0_iProver_def,growth_rate(first_movers,sk1(sk4,sk3))),
inference(forward_subsumption_resolution,[status(thm)],[c_3347,c_3234]) ).
cnf(c_3376,plain,
( ~ in_environment(sk3,X0)
| number_of_organizations(sk3,X0) = sP0_iProver_def
| greater(equilibrium(sk3),X0)
| constant(number_of_organizations(sk3,X0)) ),
inference(superposition,[status(thm)],[c_3303,c_864]) ).
cnf(c_3403,plain,
( ~ greater(equilibrium(sk3),X0)
| ~ in_environment(sk3,X0)
| number_of_organizations(sk3,X0) = sP0_iProver_def
| decreases(resources(sk3,X0)) ),
inference(superposition,[status(thm)],[c_3318,c_3180]) ).
cnf(c_3417,plain,
( ~ decreases(number_of_organizations(sk3,X0))
| ~ in_environment(sk3,X0)
| number_of_organizations(sk3,X0) = sP0_iProver_def
| greater(equilibrium(sk3),X0) ),
inference(superposition,[status(thm)],[c_3376,c_62]) ).
cnf(c_3423,plain,
( number_of_organizations(sk3,X0) = sP0_iProver_def
| ~ in_environment(sk3,X0)
| ~ decreases(number_of_organizations(sk3,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_3417,c_876,c_3403,c_3417]) ).
cnf(c_3424,plain,
( ~ decreases(number_of_organizations(sk3,X0))
| ~ in_environment(sk3,X0)
| number_of_organizations(sk3,X0) = sP0_iProver_def ),
inference(renaming,[status(thm)],[c_3423]) ).
cnf(c_3432,plain,
( ~ in_environment(sk3,X0)
| number_of_organizations(sk3,X0) = sP0_iProver_def
| sk2(X0,sk3) = efficient_producers
| sk2(X0,sk3) = first_movers ),
inference(superposition,[status(thm)],[c_834,c_3424]) ).
cnf(c_3463,plain,
( number_of_organizations(sk3,sk1(sk4,sk3)) = sP0_iProver_def
| sk2(sk1(sk4,sk3),sk3) = efficient_producers
| sk2(sk1(sk4,sk3),sk3) = first_movers ),
inference(superposition,[status(thm)],[c_3234,c_3432]) ).
cnf(c_3511,plain,
( ~ greater(sP0_iProver_def,growth_rate(first_movers,sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| number_of_organizations(sk3,sk1(sk4,sk3)) = sP0_iProver_def
| sk2(sk1(sk4,sk3),sk3) = efficient_producers
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(superposition,[status(thm)],[c_3463,c_3187]) ).
cnf(c_3517,plain,
( number_of_organizations(sk3,sk1(sk4,sk3)) = sP0_iProver_def
| sk2(sk1(sk4,sk3),sk3) = efficient_producers
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3511,c_3234,c_3348]) ).
cnf(c_3527,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| number_of_organizations(sk3,sk1(sk4,sk3)) = sP0_iProver_def
| sk2(sk1(sk4,sk3),sk3) = efficient_producers ),
inference(superposition,[status(thm)],[c_3517,c_3424]) ).
cnf(c_3529,plain,
( number_of_organizations(sk3,sk1(sk4,sk3)) = sP0_iProver_def
| sk2(sk1(sk4,sk3),sk3) = efficient_producers ),
inference(forward_subsumption_resolution,[status(thm)],[c_3527,c_3234]) ).
cnf(c_3537,plain,
( ~ greater(sP0_iProver_def,growth_rate(efficient_producers,sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| number_of_organizations(sk3,sk1(sk4,sk3)) = sP0_iProver_def
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(superposition,[status(thm)],[c_3529,c_3187]) ).
cnf(c_3542,plain,
( number_of_organizations(sk3,sk1(sk4,sk3)) = sP0_iProver_def
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3537,c_3234,c_3346]) ).
cnf(c_3549,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| number_of_organizations(sk3,sk1(sk4,sk3)) = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_3542,c_3424]) ).
cnf(c_3551,plain,
number_of_organizations(sk3,sk1(sk4,sk3)) = sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_3549,c_3234]) ).
cnf(c_3560,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| cardinality_at_time(efficient_producers,sk1(sk4,sk3)) = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_3551,c_3194]) ).
cnf(c_3562,plain,
cardinality_at_time(efficient_producers,sk1(sk4,sk3)) = sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_3560,c_3234]) ).
cnf(c_3582,plain,
~ greater(sP0_iProver_def,growth_rate(efficient_producers,sk1(sk4,sk3))),
inference(superposition,[status(thm)],[c_3562,c_3174]) ).
cnf(c_3583,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3582,c_3346]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : MGT037-1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n015.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 23:14:06 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.72/1.11 % SZS status Started for theBenchmark.p
% 2.72/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 2.72/1.11
% 2.72/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.72/1.11
% 2.72/1.11 ------ iProver source info
% 2.72/1.11
% 2.72/1.11 git: date: 2024-05-02 19:28:25 +0000
% 2.72/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.72/1.11 git: non_committed_changes: false
% 2.72/1.11
% 2.72/1.11 ------ Parsing...successful
% 2.72/1.11
% 2.72/1.11
% 2.72/1.11
% 2.72/1.11 ------ 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
% 2.72/1.11
% 2.72/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.72/1.11
% 2.72/1.11 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.72/1.11 ------ Proving...
% 2.72/1.11 ------ Problem Properties
% 2.72/1.11
% 2.72/1.11
% 2.72/1.11 clauses 27
% 2.72/1.11 conjectures 3
% 2.72/1.11 EPR 4
% 2.72/1.11 Horn 21
% 2.72/1.11 unary 6
% 2.72/1.11 binary 2
% 2.72/1.11 lits 72
% 2.72/1.11 lits eq 17
% 2.72/1.11 fd_pure 0
% 2.72/1.11 fd_pseudo 0
% 2.72/1.11 fd_cond 0
% 2.72/1.11 fd_pseudo_cond 0
% 2.72/1.11 AC symbols 0
% 2.72/1.11
% 2.72/1.11 ------ Schedule dynamic 5 is on
% 2.72/1.11
% 2.72/1.11 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.72/1.11
% 2.72/1.11
% 2.72/1.11 ------
% 2.72/1.11 Current options:
% 2.72/1.11 ------
% 2.72/1.11
% 2.72/1.11
% 2.72/1.11
% 2.72/1.11
% 2.72/1.11 ------ Proving...
% 2.72/1.11
% 2.72/1.11
% 2.72/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 2.72/1.11
% 2.72/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.72/1.12
% 2.72/1.12
%------------------------------------------------------------------------------