TSTP Solution File: MGT028-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : MGT028-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 11:48:43 EDT 2024
% Result : Unsatisfiable 1.86s 1.21s
% Output : CNFRefutation 1.86s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ stable(X0)
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| greater(sk2(X0),appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_1) ).
cnf(c_50,plain,
( ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ stable(X0)
| greater(sk2(X0),appear(efficient_producers,X0))
| greater_or_equal(sk1(X1,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_2) ).
cnf(c_51,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,sk2(X0))
| ~ in_environment(X0,X2)
| ~ environment(X0)
| ~ stable(X0)
| subpopulations(first_movers,efficient_producers,X0,sk1(X2,X0))
| greater(zero,growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_3) ).
cnf(c_52,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,sk2(X0))
| ~ in_environment(X0,X2)
| ~ environment(X0)
| ~ stable(X0)
| greater_or_equal(sk1(X2,X0),X2)
| greater(zero,growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_4) ).
cnf(c_53,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(X0,X1)))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| ~ stable(X1)
| greater(sk2(X1),appear(efficient_producers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_5) ).
cnf(c_54,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(X0,X1)))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(X2,sk2(X1))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| ~ stable(X1)
| greater(zero,growth_rate(first_movers,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_6) ).
cnf(c_55,plain,
( ~ environment(X0)
| ~ stable(X0)
| in_environment(X0,sk3(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l11_7) ).
cnf(c_57,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,sk3(X0))
| ~ environment(X0)
| ~ stable(X0)
| greater(zero,growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l11_9) ).
cnf(c_58,negated_conjecture,
environment(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_10) ).
cnf(c_59,negated_conjecture,
stable(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_11) ).
cnf(c_60,negated_conjecture,
( ~ greater(X0,appear(efficient_producers,sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk5(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_12) ).
cnf(c_61,negated_conjecture,
( ~ greater(X0,appear(efficient_producers,sk4))
| greater_or_equal(sk5(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_13) ).
cnf(c_62,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,sk5(X0)))
| ~ greater(X0,appear(efficient_producers,sk4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_14) ).
cnf(c_189,plain,
( ~ subpopulations(first_movers,efficient_producers,sk4,X0)
| ~ greater_or_equal(X0,sk3(sk4))
| ~ stable(sk4)
| greater(zero,growth_rate(first_movers,X0)) ),
inference(resolution,[status(thm)],[c_57,c_58]) ).
cnf(c_191,plain,
( ~ greater_or_equal(X0,sk3(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X0)
| greater(zero,growth_rate(first_movers,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_189,c_59,c_189]) ).
cnf(c_192,plain,
( ~ subpopulations(first_movers,efficient_producers,sk4,X0)
| ~ greater_or_equal(X0,sk3(sk4))
| greater(zero,growth_rate(first_movers,X0)) ),
inference(renaming,[status(thm)],[c_191]) ).
cnf(c_203,plain,
( ~ stable(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(resolution,[status(thm)],[c_55,c_58]) ).
cnf(c_204,plain,
in_environment(sk4,sk3(sk4)),
inference(global_subsumption_just,[status(thm)],[c_203,c_59,c_203]) ).
cnf(c_209,plain,
( ~ subpopulations(first_movers,efficient_producers,sk4,X0)
| ~ greater_or_equal(X0,sk2(sk4))
| ~ in_environment(sk4,X1)
| ~ stable(sk4)
| greater_or_equal(sk1(X1,sk4),X1)
| greater(zero,growth_rate(first_movers,X0)) ),
inference(resolution,[status(thm)],[c_52,c_58]) ).
cnf(c_211,plain,
( ~ in_environment(sk4,X1)
| ~ greater_or_equal(X0,sk2(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X0)
| greater_or_equal(sk1(X1,sk4),X1)
| greater(zero,growth_rate(first_movers,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_209,c_59,c_209]) ).
cnf(c_212,plain,
( ~ subpopulations(first_movers,efficient_producers,sk4,X0)
| ~ greater_or_equal(X0,sk2(sk4))
| ~ in_environment(sk4,X1)
| greater_or_equal(sk1(X1,sk4),X1)
| greater(zero,growth_rate(first_movers,X0)) ),
inference(renaming,[status(thm)],[c_211]) ).
cnf(c_229,plain,
( ~ subpopulations(first_movers,efficient_producers,sk4,X0)
| ~ greater_or_equal(X0,sk2(sk4))
| ~ in_environment(sk4,X1)
| ~ stable(sk4)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X1,sk4))
| greater(zero,growth_rate(first_movers,X0)) ),
inference(resolution,[status(thm)],[c_51,c_58]) ).
cnf(c_231,plain,
( ~ in_environment(sk4,X1)
| ~ greater_or_equal(X0,sk2(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X0)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X1,sk4))
| greater(zero,growth_rate(first_movers,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_229,c_59,c_229]) ).
cnf(c_232,plain,
( ~ subpopulations(first_movers,efficient_producers,sk4,X0)
| ~ greater_or_equal(X0,sk2(sk4))
| ~ in_environment(sk4,X1)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X1,sk4))
| greater(zero,growth_rate(first_movers,X0)) ),
inference(renaming,[status(thm)],[c_231]) ).
cnf(c_249,plain,
( ~ in_environment(sk4,X0)
| ~ stable(sk4)
| greater(sk2(sk4),appear(efficient_producers,sk4))
| greater_or_equal(sk1(X0,sk4),X0) ),
inference(resolution,[status(thm)],[c_50,c_58]) ).
cnf(c_251,plain,
( ~ in_environment(sk4,X0)
| greater(sk2(sk4),appear(efficient_producers,sk4))
| greater_or_equal(sk1(X0,sk4),X0) ),
inference(global_subsumption_just,[status(thm)],[c_249,c_59,c_249]) ).
cnf(c_263,plain,
( ~ in_environment(sk4,X0)
| ~ stable(sk4)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4))
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(resolution,[status(thm)],[c_49,c_58]) ).
cnf(c_265,plain,
( ~ in_environment(sk4,X0)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4))
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(global_subsumption_just,[status(thm)],[c_263,c_59,c_263]) ).
cnf(c_277,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(X0,sk4)))
| ~ subpopulations(first_movers,efficient_producers,sk4,X1)
| ~ greater_or_equal(X1,sk2(sk4))
| ~ in_environment(sk4,X0)
| ~ stable(sk4)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(resolution,[status(thm)],[c_54,c_58]) ).
cnf(c_279,plain,
( ~ in_environment(sk4,X0)
| ~ greater_or_equal(X1,sk2(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X1)
| ~ greater(zero,growth_rate(first_movers,sk1(X0,sk4)))
| greater(zero,growth_rate(first_movers,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_277,c_59,c_277]) ).
cnf(c_280,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(X0,sk4)))
| ~ subpopulations(first_movers,efficient_producers,sk4,X1)
| ~ greater_or_equal(X1,sk2(sk4))
| ~ in_environment(sk4,X0)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(renaming,[status(thm)],[c_279]) ).
cnf(c_297,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(X0,sk4)))
| ~ in_environment(sk4,X0)
| ~ stable(sk4)
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(resolution,[status(thm)],[c_53,c_58]) ).
cnf(c_299,plain,
( ~ in_environment(sk4,X0)
| ~ greater(zero,growth_rate(first_movers,sk1(X0,sk4)))
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(global_subsumption_just,[status(thm)],[c_297,c_59,c_297]) ).
cnf(c_300,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(X0,sk4)))
| ~ in_environment(sk4,X0)
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(renaming,[status(thm)],[c_299]) ).
cnf(c_339,plain,
( ~ subpopulations(first_movers,efficient_producers,sk4,X0)
| ~ greater_or_equal(X0,sk2(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(zero,growth_rate(first_movers,X0)) ),
inference(resolution,[status(thm)],[c_204,c_232]) ).
cnf(c_353,plain,
( ~ subpopulations(first_movers,efficient_producers,sk4,X0)
| ~ greater_or_equal(X0,sk2(sk4))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(zero,growth_rate(first_movers,X0)) ),
inference(resolution,[status(thm)],[c_204,c_212]) ).
cnf(c_367,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(resolution,[status(thm)],[c_204,c_300]) ).
cnf(c_374,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| ~ subpopulations(first_movers,efficient_producers,sk4,X0)
| ~ greater_or_equal(X0,sk2(sk4))
| greater(zero,growth_rate(first_movers,X0)) ),
inference(resolution,[status(thm)],[c_204,c_280]) ).
cnf(c_388,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(resolution,[status(thm)],[c_204,c_265]) ).
cnf(c_395,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(resolution,[status(thm)],[c_204,c_251]) ).
cnf(c_474,plain,
appear(efficient_producers,sk4) = sP0_iProver_def,
definition ).
cnf(c_475,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,sk5(X0)))
| ~ greater(X0,sP0_iProver_def) ),
inference(demodulation,[status(thm)],[c_62,c_474]) ).
cnf(c_476,negated_conjecture,
( ~ greater(X0,sP0_iProver_def)
| greater_or_equal(sk5(X0),X0) ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_477,negated_conjecture,
( ~ greater(X0,sP0_iProver_def)
| subpopulations(first_movers,efficient_producers,sk4,sk5(X0)) ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_773,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(sk2(sk4),sP0_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_388,c_474]) ).
cnf(c_792,plain,
( ~ greater_or_equal(sk5(X0),sk2(sk4))
| ~ greater(X0,sP0_iProver_def)
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(zero,growth_rate(first_movers,sk5(X0))) ),
inference(superposition,[status(thm)],[c_477,c_339]) ).
cnf(c_803,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| ~ greater(X0,sP0_iProver_def)
| ~ greater_or_equal(sk5(X0),sk2(sk4)) ),
inference(global_subsumption_just,[status(thm)],[c_792,c_475,c_792]) ).
cnf(c_804,plain,
( ~ greater_or_equal(sk5(X0),sk2(sk4))
| ~ greater(X0,sP0_iProver_def)
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(renaming,[status(thm)],[c_803]) ).
cnf(c_812,plain,
( ~ greater(sk2(sk4),sP0_iProver_def)
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(superposition,[status(thm)],[c_476,c_804]) ).
cnf(c_817,plain,
subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_812,c_773]) ).
cnf(c_818,plain,
( ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(superposition,[status(thm)],[c_817,c_192]) ).
cnf(c_821,plain,
greater(sk2(sk4),appear(efficient_producers,sk4)),
inference(global_subsumption_just,[status(thm)],[c_367,c_367,c_395,c_818]) ).
cnf(c_823,plain,
greater(sk2(sk4),sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_821,c_474]) ).
cnf(c_828,plain,
( ~ greater_or_equal(X0,sk2(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X0)
| greater(zero,growth_rate(first_movers,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_353,c_353,c_374,c_818]) ).
cnf(c_829,plain,
( ~ subpopulations(first_movers,efficient_producers,sk4,X0)
| ~ greater_or_equal(X0,sk2(sk4))
| greater(zero,growth_rate(first_movers,X0)) ),
inference(renaming,[status(thm)],[c_828]) ).
cnf(c_837,plain,
( ~ greater_or_equal(sk5(X0),sk2(sk4))
| ~ greater(X0,sP0_iProver_def)
| greater(zero,growth_rate(first_movers,sk5(X0))) ),
inference(superposition,[status(thm)],[c_477,c_829]) ).
cnf(c_845,plain,
( ~ greater(X0,sP0_iProver_def)
| ~ greater_or_equal(sk5(X0),sk2(sk4)) ),
inference(global_subsumption_just,[status(thm)],[c_837,c_475,c_837]) ).
cnf(c_846,plain,
( ~ greater_or_equal(sk5(X0),sk2(sk4))
| ~ greater(X0,sP0_iProver_def) ),
inference(renaming,[status(thm)],[c_845]) ).
cnf(c_852,plain,
~ greater(sk2(sk4),sP0_iProver_def),
inference(superposition,[status(thm)],[c_476,c_846]) ).
cnf(c_853,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_852,c_823]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT028-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 18:15:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 1.86/1.21 % SZS status Started for theBenchmark.p
% 1.86/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 1.86/1.21
% 1.86/1.21 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.86/1.21
% 1.86/1.21 ------ iProver source info
% 1.86/1.21
% 1.86/1.21 git: date: 2024-06-12 09:56:46 +0000
% 1.86/1.21 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 1.86/1.21 git: non_committed_changes: false
% 1.86/1.21
% 1.86/1.21 ------ Parsing...successful
% 1.86/1.21
% 1.86/1.21
% 1.86/1.21
% 1.86/1.21 ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.86/1.21
% 1.86/1.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.86/1.21
% 1.86/1.21 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.86/1.21 ------ Proving...
% 1.86/1.21 ------ Problem Properties
% 1.86/1.21
% 1.86/1.21
% 1.86/1.21 clauses 11
% 1.86/1.21 conjectures 3
% 1.86/1.21 EPR 0
% 1.86/1.21 Horn 7
% 1.86/1.21 unary 1
% 1.86/1.21 binary 6
% 1.86/1.21 lits 28
% 1.86/1.21 lits eq 1
% 1.86/1.21 fd_pure 0
% 1.86/1.21 fd_pseudo 0
% 1.86/1.21 fd_cond 0
% 1.86/1.21 fd_pseudo_cond 0
% 1.86/1.21 AC symbols 0
% 1.86/1.21
% 1.86/1.21 ------ Schedule dynamic 5 is on
% 1.86/1.21
% 1.86/1.21 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.86/1.21
% 1.86/1.21
% 1.86/1.21 ------
% 1.86/1.21 Current options:
% 1.86/1.21 ------
% 1.86/1.21
% 1.86/1.21
% 1.86/1.21
% 1.86/1.21
% 1.86/1.21 ------ Proving...
% 1.86/1.21
% 1.86/1.21
% 1.86/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 1.86/1.21
% 1.86/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.86/1.21
% 1.86/1.21
%------------------------------------------------------------------------------