TSTP Solution File: MGT024-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : MGT024-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 02:43:24 EDT 2024
% Result : Unsatisfiable 0.63s 1.02s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of clauses : 64 ( 8 unt; 37 nHn; 64 RR)
% Number of literals : 281 ( 83 equ; 166 neg)
% Maximal clause size : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occur_24) ).
cnf(c_50,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(number_of_organizations(X0,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_number_of_organizations_25) ).
cnf(c_51,plain,
( ~ greater(equilibrium(X0),X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_equilibrium_26) ).
cnf(c_53,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/sandbox2/benchmark/theBenchmark.p',a3_28) ).
cnf(c_55,plain,
( ~ constant(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| constant(number_of_organizations(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_30) ).
cnf(c_56,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_31) ).
cnf(c_57,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_32) ).
cnf(c_58,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_33) ).
cnf(c_59,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| growth_rate(first_movers,X1) = zero
| greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_34) ).
cnf(c_60,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_35) ).
cnf(c_61,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_36) ).
cnf(c_62,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_37) ).
cnf(c_63,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| growth_rate(efficient_producers,X1) = zero
| greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_38) ).
cnf(c_64,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6_39) ).
cnf(c_65,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6_40) ).
cnf(c_66,negated_conjecture,
greater_or_equal(sk2,equilibrium(sk1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6_41) ).
cnf(c_67,negated_conjecture,
( growth_rate(first_movers,sk2) != zero
| growth_rate(efficient_producers,sk2) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6_42) ).
cnf(c_68,negated_conjecture,
( ~ greater(growth_rate(first_movers,sk2),zero)
| ~ greater(zero,growth_rate(efficient_producers,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6_43) ).
cnf(c_69,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,sk2),zero)
| ~ greater(zero,growth_rate(first_movers,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6_44) ).
cnf(c_424,plain,
( equilibrium(X0) != equilibrium(sk1)
| X1 != sk2
| ~ greater(equilibrium(X0),X1)
| ~ environment(X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_66]) ).
cnf(c_425,plain,
( equilibrium(X0) != equilibrium(sk1)
| ~ greater(equilibrium(X0),sk2)
| ~ environment(X0) ),
inference(unflattening,[status(thm)],[c_424]) ).
cnf(c_439,plain,
( X0 != X1
| X2 != X3
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ constant(resources(X1,X3))
| ~ environment(X0)
| ~ environment(X1)
| constant(number_of_organizations(X1,X3)) ),
inference(resolution_lifted,[status(thm)],[c_49,c_55]) ).
cnf(c_440,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(resources(X0,X1))
| ~ environment(X0)
| constant(number_of_organizations(X0,X1)) ),
inference(unflattening,[status(thm)],[c_439]) ).
cnf(c_469,plain,
( X0 != X1
| X2 != X3
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(number_of_organizations(X1,X3),zero)
| ~ environment(X0)
| ~ environment(X1)
| greater(equilibrium(X1),X3)
| constant(resources(X1,X3)) ),
inference(resolution_lifted,[status(thm)],[c_49,c_53]) ).
cnf(c_470,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0)
| greater(equilibrium(X0),X1)
| constant(resources(X0,X1)) ),
inference(unflattening,[status(thm)],[c_469]) ).
cnf(c_472,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(equilibrium(X0),X1)
| constant(resources(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_470,c_50,c_470]) ).
cnf(c_531,plain,
( X0 != sk1
| X1 != sk2
| first_movers != first_movers
| efficient_producers != efficient_producers
| ~ environment(X0)
| greater(equilibrium(X0),X1)
| constant(resources(X0,X1)) ),
inference(resolution_lifted,[status(thm)],[c_472,c_65]) ).
cnf(c_532,plain,
( ~ environment(sk1)
| greater(equilibrium(sk1),sk2)
| constant(resources(sk1,sk2)) ),
inference(unflattening,[status(thm)],[c_531]) ).
cnf(c_533,plain,
( greater(equilibrium(sk1),sk2)
| constant(resources(sk1,sk2)) ),
inference(global_subsumption_just,[status(thm)],[c_532,c_64,c_532]) ).
cnf(c_551,plain,
( X0 != sk1
| X1 != sk2
| first_movers != first_movers
| efficient_producers != efficient_producers
| ~ constant(resources(X0,X1))
| ~ environment(X0)
| constant(number_of_organizations(X0,X1)) ),
inference(resolution_lifted,[status(thm)],[c_440,c_65]) ).
cnf(c_552,plain,
( ~ constant(resources(sk1,sk2))
| ~ environment(sk1)
| constant(number_of_organizations(sk1,sk2)) ),
inference(unflattening,[status(thm)],[c_551]) ).
cnf(c_553,plain,
( ~ constant(resources(sk1,sk2))
| constant(number_of_organizations(sk1,sk2)) ),
inference(global_subsumption_just,[status(thm)],[c_552,c_64,c_552]) ).
cnf(c_561,plain,
( X0 != sk1
| X1 != sk2
| first_movers != first_movers
| efficient_producers != efficient_producers
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| growth_rate(efficient_producers,X1) = zero
| greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_63,c_65]) ).
cnf(c_562,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| growth_rate(efficient_producers,sk2) = zero
| greater(zero,growth_rate(first_movers,sk2))
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(unflattening,[status(thm)],[c_561]) ).
cnf(c_563,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| growth_rate(efficient_producers,sk2) = zero
| greater(zero,growth_rate(first_movers,sk2))
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(global_subsumption_just,[status(thm)],[c_562,c_64,c_562]) ).
cnf(c_577,plain,
( X0 != sk1
| X1 != sk2
| first_movers != first_movers
| efficient_producers != efficient_producers
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_62,c_65]) ).
cnf(c_578,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| growth_rate(efficient_producers,sk2) = zero
| greater(growth_rate(efficient_producers,sk2),zero)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(unflattening,[status(thm)],[c_577]) ).
cnf(c_579,plain,
( growth_rate(efficient_producers,sk2) = zero
| ~ constant(number_of_organizations(sk1,sk2))
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(global_subsumption_just,[status(thm)],[c_578,c_64,c_69,c_563,c_578]) ).
cnf(c_580,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| growth_rate(efficient_producers,sk2) = zero
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(renaming,[status(thm)],[c_579]) ).
cnf(c_590,plain,
( X0 != sk1
| X1 != sk2
| first_movers != first_movers
| efficient_producers != efficient_producers
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_61,c_65]) ).
cnf(c_591,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| growth_rate(efficient_producers,sk2) = zero
| greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(unflattening,[status(thm)],[c_590]) ).
cnf(c_592,plain,
( growth_rate(efficient_producers,sk2) = zero
| ~ constant(number_of_organizations(sk1,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(global_subsumption_just,[status(thm)],[c_591,c_64,c_69,c_68,c_563,c_578,c_591]) ).
cnf(c_593,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| growth_rate(efficient_producers,sk2) = zero
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(renaming,[status(thm)],[c_592]) ).
cnf(c_603,plain,
( X0 != sk1
| X1 != sk2
| first_movers != first_movers
| efficient_producers != efficient_producers
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero) ),
inference(resolution_lifted,[status(thm)],[c_60,c_65]) ).
cnf(c_604,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| growth_rate(efficient_producers,sk2) = zero
| greater(growth_rate(first_movers,sk2),zero)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(unflattening,[status(thm)],[c_603]) ).
cnf(c_605,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| growth_rate(efficient_producers,sk2) = zero ),
inference(global_subsumption_just,[status(thm)],[c_604,c_64,c_69,c_68,c_580,c_593,c_604]) ).
cnf(c_613,plain,
( X0 != sk1
| X1 != sk2
| first_movers != first_movers
| efficient_producers != efficient_producers
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| growth_rate(first_movers,X1) = zero
| greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_59,c_65]) ).
cnf(c_614,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| growth_rate(first_movers,sk2) = zero
| greater(zero,growth_rate(first_movers,sk2))
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(unflattening,[status(thm)],[c_613]) ).
cnf(c_615,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| greater(zero,growth_rate(first_movers,sk2))
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(global_subsumption_just,[status(thm)],[c_614,c_64,c_67,c_605,c_614]) ).
cnf(c_626,plain,
( X0 != sk1
| X1 != sk2
| first_movers != first_movers
| efficient_producers != efficient_producers
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_58,c_65]) ).
cnf(c_627,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| growth_rate(first_movers,sk2) = zero
| greater(growth_rate(efficient_producers,sk2),zero)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(unflattening,[status(thm)],[c_626]) ).
cnf(c_628,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(global_subsumption_just,[status(thm)],[c_627,c_64,c_69,c_67,c_605,c_615,c_627]) ).
cnf(c_636,plain,
( X0 != sk1
| X1 != sk2
| first_movers != first_movers
| efficient_producers != efficient_producers
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_57,c_65]) ).
cnf(c_637,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| growth_rate(first_movers,sk2) = zero
| greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(unflattening,[status(thm)],[c_636]) ).
cnf(c_638,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(global_subsumption_just,[status(thm)],[c_637,c_64,c_68,c_67,c_605,c_628,c_637]) ).
cnf(c_646,plain,
( X0 != sk1
| X1 != sk2
| first_movers != first_movers
| efficient_producers != efficient_producers
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero) ),
inference(resolution_lifted,[status(thm)],[c_56,c_65]) ).
cnf(c_647,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| growth_rate(first_movers,sk2) = zero
| greater(growth_rate(first_movers,sk2),zero)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(unflattening,[status(thm)],[c_646]) ).
cnf(c_648,plain,
~ constant(number_of_organizations(sk1,sk2)),
inference(global_subsumption_just,[status(thm)],[c_647,c_64,c_69,c_68,c_67,c_605,c_628,c_638,c_647]) ).
cnf(c_671,plain,
( equilibrium(X0) != equilibrium(sk1)
| X0 != sk1
| ~ greater(equilibrium(X0),sk2) ),
inference(resolution_lifted,[status(thm)],[c_425,c_64]) ).
cnf(c_672,plain,
( equilibrium(sk1) != equilibrium(sk1)
| ~ greater(equilibrium(sk1),sk2) ),
inference(unflattening,[status(thm)],[c_671]) ).
cnf(c_673,plain,
equilibrium(sk1) != equilibrium(sk1),
inference(global_subsumption_just,[status(thm)],[c_672,c_533,c_553,c_648,c_672]) ).
cnf(c_679,plain,
iProver_spec_dis_eq_i(equilibrium(sk1),equilibrium(sk1)),
inference(dis_equality_elim,[status(thm)],[c_673]) ).
cnf(c_681,plain,
~ iProver_spec_dis_eq_i(X0,X0),
theory(irreflexivity) ).
cnf(c_691,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_679,c_681]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : MGT024-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.08 % Command : run_iprover %s %d THM
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Thu May 2 23:00:38 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 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
% 0.63/1.02 % SZS status Started for theBenchmark.p
% 0.63/1.02 % SZS status Unsatisfiable for theBenchmark.p
% 0.63/1.02
% 0.63/1.02 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.63/1.02
% 0.63/1.02 ------ iProver source info
% 0.63/1.02
% 0.63/1.02 git: date: 2024-05-02 19:28:25 +0000
% 0.63/1.02 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.63/1.02 git: non_committed_changes: false
% 0.63/1.02
% 0.63/1.02 ------ Parsing...successful
% 0.63/1.02
% 0.63/1.02
% 0.63/1.02
% 0.63/1.02 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e
% 0.63/1.02
% 0.63/1.02 % SZS status Unsatisfiable for theBenchmark.p
% 0.63/1.02
% 0.63/1.02 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.65/1.02
% 0.65/1.02
%------------------------------------------------------------------------------