TSTP Solution File: MGT028-1 by iProver---3.9

View Problem - 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  
%------------------------------------------------------------------------------