TSTP Solution File: MGT027-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : MGT027-1 : 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 11:48:42 EDT 2024
% Result : Unsatisfiable 2.11s 1.11s
% Output : CNFRefutation 2.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of clauses : 85 ( 12 unt; 13 nHn; 84 RR)
% Number of literals : 313 ( 39 equ; 225 neg)
% Maximal clause size : 12 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 98 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ stable(X0)
| greater(cardinality_at_time(first_movers,sk1(X1,X0)),zero)
| contracts_from(X1,first_movers) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contracts_from_24) ).
cnf(c_50,plain,
( ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ stable(X0)
| greater_or_equal(sk1(X1,X0),X1)
| contracts_from(X1,first_movers) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contracts_from_25) ).
cnf(c_51,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(X0,X1)))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| ~ stable(X1)
| contracts_from(X0,first_movers) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contracts_from_26) ).
cnf(c_52,plain,
( ~ greater(cardinality_at_time(first_movers,X0),zero)
| ~ greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ in_environment(X1,X0)
| ~ environment(X1)
| subpopulations(first_movers,efficient_producers,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_empty_fm_and_ep_27) ).
cnf(c_53,plain,
( ~ in_environment(X0,X1)
| ~ greater(X2,X1)
| ~ environment(X0)
| ~ stable(X0)
| in_environment(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_long_stable_environments_28) ).
cnf(c_54,plain,
( ~ environment(X0)
| ~ stable(X0)
| in_environment(X0,appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_EP_in_stable_environments_29) ).
cnf(c_55,plain,
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity_30) ).
cnf(c_56,plain,
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_31) ).
cnf(c_57,plain,
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_32) ).
cnf(c_58,plain,
( X0 != X1
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_33) ).
cnf(c_59,plain,
( ~ greater_or_equal(X0,appear(efficient_producers,X1))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| greater(cardinality_at_time(efficient_producers,X0),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_34) ).
cnf(c_60,plain,
( ~ environment(X0)
| ~ stable(X0)
| greater(sk2(X0),appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l10_35) ).
cnf(c_61,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,sk2(X0))
| ~ environment(X0)
| ~ stable(X0)
| greater(zero,growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l10_36) ).
cnf(c_62,negated_conjecture,
environment(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l9_37) ).
cnf(c_63,negated_conjecture,
stable(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l9_38) ).
cnf(c_64,negated_conjecture,
( ~ greater(X0,appear(efficient_producers,sk3))
| ~ contracts_from(X0,first_movers) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l9_39) ).
cnf(c_65,plain,
greater_or_equal(X0,X0),
inference(unflattening,[status(thm)],[c_58]) ).
cnf(c_295,plain,
( X0 != X1
| X2 != X3
| first_movers != first_movers
| efficient_producers != efficient_producers
| ~ greater(cardinality_at_time(first_movers,X3),zero)
| ~ greater(cardinality_at_time(efficient_producers,X3),zero)
| ~ greater_or_equal(X2,sk2(X0))
| ~ in_environment(X1,X3)
| ~ environment(X0)
| ~ environment(X1)
| ~ stable(X0)
| greater(zero,growth_rate(first_movers,X2)) ),
inference(resolution_lifted,[status(thm)],[c_61,c_52]) ).
cnf(c_296,plain,
( ~ greater(cardinality_at_time(first_movers,X0),zero)
| ~ greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater_or_equal(X0,sk2(X1))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| ~ stable(X1)
| greater(zero,growth_rate(first_movers,X0)) ),
inference(unflattening,[status(thm)],[c_295]) ).
cnf(c_326,plain,
( X0 != X1
| first_movers != first_movers
| ~ greater(zero,growth_rate(first_movers,sk1(X0,X2)))
| ~ greater(X1,appear(efficient_producers,sk3))
| ~ in_environment(X2,X0)
| ~ environment(X2)
| ~ stable(X2) ),
inference(resolution_lifted,[status(thm)],[c_51,c_64]) ).
cnf(c_327,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(X0,X1)))
| ~ greater(X0,appear(efficient_producers,sk3))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| ~ stable(X1) ),
inference(unflattening,[status(thm)],[c_326]) ).
cnf(c_344,plain,
( X0 != X1
| first_movers != first_movers
| ~ greater(X1,appear(efficient_producers,sk3))
| ~ in_environment(X2,X0)
| ~ environment(X2)
| ~ stable(X2)
| greater_or_equal(sk1(X0,X2),X0) ),
inference(resolution_lifted,[status(thm)],[c_50,c_64]) ).
cnf(c_345,plain,
( ~ greater(X0,appear(efficient_producers,sk3))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| ~ stable(X1)
| greater_or_equal(sk1(X0,X1),X0) ),
inference(unflattening,[status(thm)],[c_344]) ).
cnf(c_362,plain,
( X0 != X1
| first_movers != first_movers
| ~ greater(X1,appear(efficient_producers,sk3))
| ~ in_environment(X2,X0)
| ~ environment(X2)
| ~ stable(X2)
| greater(cardinality_at_time(first_movers,sk1(X0,X2)),zero) ),
inference(resolution_lifted,[status(thm)],[c_49,c_64]) ).
cnf(c_363,plain,
( ~ greater(X0,appear(efficient_producers,sk3))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| ~ stable(X1)
| greater(cardinality_at_time(first_movers,sk1(X0,X1)),zero) ),
inference(unflattening,[status(thm)],[c_362]) ).
cnf(c_395,plain,
( X0 != sk3
| ~ environment(X0)
| greater(sk2(X0),appear(efficient_producers,X0)) ),
inference(resolution_lifted,[status(thm)],[c_60,c_63]) ).
cnf(c_396,plain,
( ~ environment(sk3)
| greater(sk2(sk3),appear(efficient_producers,sk3)) ),
inference(unflattening,[status(thm)],[c_395]) ).
cnf(c_397,plain,
greater(sk2(sk3),appear(efficient_producers,sk3)),
inference(global_subsumption_just,[status(thm)],[c_396,c_62,c_396]) ).
cnf(c_402,plain,
( X0 != sk3
| ~ environment(X0)
| in_environment(X0,appear(efficient_producers,X0)) ),
inference(resolution_lifted,[status(thm)],[c_54,c_63]) ).
cnf(c_403,plain,
( ~ environment(sk3)
| in_environment(sk3,appear(efficient_producers,sk3)) ),
inference(unflattening,[status(thm)],[c_402]) ).
cnf(c_404,plain,
in_environment(sk3,appear(efficient_producers,sk3)),
inference(global_subsumption_just,[status(thm)],[c_403,c_62,c_403]) ).
cnf(c_409,plain,
( X0 != sk3
| ~ in_environment(X0,X1)
| ~ greater(X2,X1)
| ~ environment(X0)
| in_environment(X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_53,c_63]) ).
cnf(c_410,plain,
( ~ greater(X0,X1)
| ~ in_environment(sk3,X1)
| ~ environment(sk3)
| in_environment(sk3,X0) ),
inference(unflattening,[status(thm)],[c_409]) ).
cnf(c_411,plain,
( ~ in_environment(sk3,X1)
| ~ greater(X0,X1)
| in_environment(sk3,X0) ),
inference(global_subsumption_just,[status(thm)],[c_410,c_62,c_410]) ).
cnf(c_412,plain,
( ~ greater(X0,X1)
| ~ in_environment(sk3,X1)
| in_environment(sk3,X0) ),
inference(renaming,[status(thm)],[c_411]) ).
cnf(c_422,plain,
( X0 != sk3
| ~ greater(X1,appear(efficient_producers,sk3))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| greater(cardinality_at_time(first_movers,sk1(X1,X0)),zero) ),
inference(resolution_lifted,[status(thm)],[c_363,c_63]) ).
cnf(c_423,plain,
( ~ greater(X0,appear(efficient_producers,sk3))
| ~ in_environment(sk3,X0)
| ~ environment(sk3)
| greater(cardinality_at_time(first_movers,sk1(X0,sk3)),zero) ),
inference(unflattening,[status(thm)],[c_422]) ).
cnf(c_425,plain,
( ~ in_environment(sk3,X0)
| ~ greater(X0,appear(efficient_producers,sk3))
| greater(cardinality_at_time(first_movers,sk1(X0,sk3)),zero) ),
inference(global_subsumption_just,[status(thm)],[c_423,c_62,c_423]) ).
cnf(c_426,plain,
( ~ greater(X0,appear(efficient_producers,sk3))
| ~ in_environment(sk3,X0)
| greater(cardinality_at_time(first_movers,sk1(X0,sk3)),zero) ),
inference(renaming,[status(thm)],[c_425]) ).
cnf(c_437,plain,
( X0 != sk3
| ~ greater(X1,appear(efficient_producers,sk3))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| greater_or_equal(sk1(X1,X0),X1) ),
inference(resolution_lifted,[status(thm)],[c_345,c_63]) ).
cnf(c_438,plain,
( ~ greater(X0,appear(efficient_producers,sk3))
| ~ in_environment(sk3,X0)
| ~ environment(sk3)
| greater_or_equal(sk1(X0,sk3),X0) ),
inference(unflattening,[status(thm)],[c_437]) ).
cnf(c_440,plain,
( ~ in_environment(sk3,X0)
| ~ greater(X0,appear(efficient_producers,sk3))
| greater_or_equal(sk1(X0,sk3),X0) ),
inference(global_subsumption_just,[status(thm)],[c_438,c_62,c_438]) ).
cnf(c_441,plain,
( ~ greater(X0,appear(efficient_producers,sk3))
| ~ in_environment(sk3,X0)
| greater_or_equal(sk1(X0,sk3),X0) ),
inference(renaming,[status(thm)],[c_440]) ).
cnf(c_452,plain,
( X0 != sk3
| ~ greater(zero,growth_rate(first_movers,sk1(X1,X0)))
| ~ greater(X1,appear(efficient_producers,sk3))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(resolution_lifted,[status(thm)],[c_327,c_63]) ).
cnf(c_453,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(X0,sk3)))
| ~ greater(X0,appear(efficient_producers,sk3))
| ~ in_environment(sk3,X0)
| ~ environment(sk3) ),
inference(unflattening,[status(thm)],[c_452]) ).
cnf(c_455,plain,
( ~ in_environment(sk3,X0)
| ~ greater(X0,appear(efficient_producers,sk3))
| ~ greater(zero,growth_rate(first_movers,sk1(X0,sk3))) ),
inference(global_subsumption_just,[status(thm)],[c_453,c_62,c_453]) ).
cnf(c_456,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(X0,sk3)))
| ~ greater(X0,appear(efficient_producers,sk3))
| ~ in_environment(sk3,X0) ),
inference(renaming,[status(thm)],[c_455]) ).
cnf(c_467,plain,
( X0 != sk3
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater_or_equal(X1,sk2(X0))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_296,c_63]) ).
cnf(c_468,plain,
( ~ greater(cardinality_at_time(first_movers,X0),zero)
| ~ greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater_or_equal(X0,sk2(sk3))
| ~ in_environment(sk3,X0)
| ~ environment(sk3)
| greater(zero,growth_rate(first_movers,X0)) ),
inference(unflattening,[status(thm)],[c_467]) ).
cnf(c_470,plain,
( ~ in_environment(sk3,X0)
| ~ greater_or_equal(X0,sk2(sk3))
| ~ greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater(cardinality_at_time(first_movers,X0),zero)
| greater(zero,growth_rate(first_movers,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_468,c_62,c_468]) ).
cnf(c_471,plain,
( ~ greater(cardinality_at_time(first_movers,X0),zero)
| ~ greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater_or_equal(X0,sk2(sk3))
| ~ in_environment(sk3,X0)
| greater(zero,growth_rate(first_movers,X0)) ),
inference(renaming,[status(thm)],[c_470]) ).
cnf(c_507,plain,
( X0 != sk3
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,X1)
| greater(cardinality_at_time(efficient_producers,X1),zero) ),
inference(resolution_lifted,[status(thm)],[c_59,c_62]) ).
cnf(c_508,plain,
( ~ greater_or_equal(X0,appear(efficient_producers,sk3))
| ~ in_environment(sk3,X0)
| greater(cardinality_at_time(efficient_producers,X0),zero) ),
inference(unflattening,[status(thm)],[c_507]) ).
cnf(c_526,plain,
( sk1(X0,sk3) != X1
| X0 != X2
| ~ greater(X0,appear(efficient_producers,sk3))
| ~ in_environment(sk3,X0)
| X1 = X2
| greater(X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_56,c_441]) ).
cnf(c_527,plain,
( ~ greater(X0,appear(efficient_producers,sk3))
| ~ in_environment(sk3,X0)
| sk1(X0,sk3) = X0
| greater(sk1(X0,sk3),X0) ),
inference(unflattening,[status(thm)],[c_526]) ).
cnf(c_559,plain,
( appear(efficient_producers,sk3) != X2
| X0 != X1
| ~ greater(X0,X2)
| ~ in_environment(sk3,X1)
| greater(cardinality_at_time(efficient_producers,X1),zero) ),
inference(resolution_lifted,[status(thm)],[c_57,c_508]) ).
cnf(c_560,plain,
( ~ greater(X0,appear(efficient_producers,sk3))
| ~ in_environment(sk3,X0)
| greater(cardinality_at_time(efficient_producers,X0),zero) ),
inference(unflattening,[status(thm)],[c_559]) ).
cnf(c_571,plain,
( sk2(sk3) != X0
| X0 != X1
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(sk3,X1)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_65,c_471]) ).
cnf(c_572,plain,
( ~ greater(cardinality_at_time(first_movers,sk2(sk3)),zero)
| ~ greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero)
| ~ in_environment(sk3,sk2(sk3))
| greater(zero,growth_rate(first_movers,sk2(sk3))) ),
inference(unflattening,[status(thm)],[c_571]) ).
cnf(c_592,plain,
( sk1(X0,sk3) != X1
| sk2(sk3) != X0
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(X0,appear(efficient_producers,sk3))
| ~ in_environment(sk3,X0)
| ~ in_environment(sk3,X1)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_441,c_471]) ).
cnf(c_593,plain,
( ~ greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
| ~ greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)
| ~ in_environment(sk3,sk1(sk2(sk3),sk3))
| ~ greater(sk2(sk3),appear(efficient_producers,sk3))
| ~ in_environment(sk3,sk2(sk3))
| greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
inference(unflattening,[status(thm)],[c_592]) ).
cnf(c_594,plain,
( ~ in_environment(sk3,sk1(sk2(sk3),sk3))
| ~ greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)
| ~ greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
| ~ in_environment(sk3,sk2(sk3))
| greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
inference(global_subsumption_just,[status(thm)],[c_593,c_62,c_396,c_593]) ).
cnf(c_595,plain,
( ~ greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
| ~ greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)
| ~ in_environment(sk3,sk1(sk2(sk3),sk3))
| ~ in_environment(sk3,sk2(sk3))
| greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
inference(renaming,[status(thm)],[c_594]) ).
cnf(c_1088,plain,
( ~ in_environment(sk3,appear(efficient_producers,sk3))
| in_environment(sk3,sk2(sk3)) ),
inference(superposition,[status(thm)],[c_397,c_412]) ).
cnf(c_1089,plain,
in_environment(sk3,sk2(sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_1088,c_404]) ).
cnf(c_1158,plain,
( ~ in_environment(sk3,sk2(sk3))
| greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero) ),
inference(superposition,[status(thm)],[c_397,c_560]) ).
cnf(c_1160,plain,
greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero),
inference(forward_subsumption_resolution,[status(thm)],[c_1158,c_1089]) ).
cnf(c_1276,plain,
( ~ in_environment(sk3,sk2(sk3))
| sk1(sk2(sk3),sk3) = sk2(sk3)
| greater(sk1(sk2(sk3),sk3),sk2(sk3)) ),
inference(superposition,[status(thm)],[c_397,c_527]) ).
cnf(c_1280,plain,
( sk1(sk2(sk3),sk3) = sk2(sk3)
| greater(sk1(sk2(sk3),sk3),sk2(sk3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1276,c_1089]) ).
cnf(c_1428,plain,
( ~ greater(cardinality_at_time(first_movers,sk2(sk3)),zero)
| greater(zero,growth_rate(first_movers,sk2(sk3))) ),
inference(global_subsumption_just,[status(thm)],[c_572,c_572,c_1089,c_1160]) ).
cnf(c_1568,plain,
( ~ greater(sk2(sk3),X0)
| sk1(sk2(sk3),sk3) = sk2(sk3)
| greater(sk1(sk2(sk3),sk3),X0) ),
inference(superposition,[status(thm)],[c_1280,c_55]) ).
cnf(c_1569,plain,
( ~ in_environment(sk3,sk2(sk3))
| sk1(sk2(sk3),sk3) = sk2(sk3)
| in_environment(sk3,sk1(sk2(sk3),sk3)) ),
inference(superposition,[status(thm)],[c_1280,c_412]) ).
cnf(c_1571,plain,
( sk1(sk2(sk3),sk3) = sk2(sk3)
| in_environment(sk3,sk1(sk2(sk3),sk3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1569,c_1089]) ).
cnf(c_1681,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3)))
| ~ greater(sk2(sk3),appear(efficient_producers,sk3))
| ~ in_environment(sk3,sk2(sk3)) ),
inference(instantiation,[status(thm)],[c_456]) ).
cnf(c_1682,plain,
( ~ greater(sk2(sk3),appear(efficient_producers,sk3))
| ~ in_environment(sk3,sk2(sk3))
| greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero) ),
inference(instantiation,[status(thm)],[c_426]) ).
cnf(c_1894,plain,
( ~ greater(sk2(sk3),X0)
| ~ greater(X0,X1)
| sk1(sk2(sk3),sk3) = sk2(sk3)
| greater(sk1(sk2(sk3),sk3),X1) ),
inference(superposition,[status(thm)],[c_1568,c_55]) ).
cnf(c_1898,plain,
( ~ in_environment(sk3,sk1(sk2(sk3),sk3))
| ~ greater(sk2(sk3),appear(efficient_producers,sk3))
| sk1(sk2(sk3),sk3) = sk2(sk3)
| greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero) ),
inference(superposition,[status(thm)],[c_1568,c_560]) ).
cnf(c_1911,plain,
( ~ in_environment(sk3,sk1(sk2(sk3),sk3))
| sk1(sk2(sk3),sk3) = sk2(sk3)
| greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1898,c_397]) ).
cnf(c_1947,plain,
sk1(sk2(sk3),sk3) = sk2(sk3),
inference(global_subsumption_just,[status(thm)],[c_1894,c_62,c_396,c_595,c_1089,c_1571,c_1682,c_1681,c_1911]) ).
cnf(c_1955,plain,
( ~ greater(sk2(sk3),appear(efficient_producers,sk3))
| ~ greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ in_environment(sk3,sk2(sk3)) ),
inference(superposition,[status(thm)],[c_1947,c_456]) ).
cnf(c_1956,plain,
( ~ greater(sk2(sk3),appear(efficient_producers,sk3))
| ~ in_environment(sk3,sk2(sk3))
| greater(cardinality_at_time(first_movers,sk2(sk3)),zero) ),
inference(superposition,[status(thm)],[c_1947,c_426]) ).
cnf(c_1957,plain,
greater(cardinality_at_time(first_movers,sk2(sk3)),zero),
inference(forward_subsumption_resolution,[status(thm)],[c_1956,c_1089,c_397]) ).
cnf(c_1961,plain,
~ greater(zero,growth_rate(first_movers,sk2(sk3))),
inference(forward_subsumption_resolution,[status(thm)],[c_1955,c_1089,c_397]) ).
cnf(c_1974,plain,
greater(zero,growth_rate(first_movers,sk2(sk3))),
inference(backward_subsumption_resolution,[status(thm)],[c_1428,c_1957]) ).
cnf(c_1975,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1974,c_1961]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT027-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.11 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n015.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Jun 19 18:04:54 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 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
% 2.11/1.11 % SZS status Started for theBenchmark.p
% 2.11/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 2.11/1.11
% 2.11/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.11/1.11
% 2.11/1.11 ------ iProver source info
% 2.11/1.11
% 2.11/1.11 git: date: 2024-06-12 09:56:46 +0000
% 2.11/1.11 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 2.11/1.11 git: non_committed_changes: false
% 2.11/1.11
% 2.11/1.11 ------ Parsing...successful
% 2.11/1.11
% 2.11/1.11
% 2.11/1.11
% 2.11/1.11 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e
% 2.11/1.11
% 2.11/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.11/1.11
% 2.11/1.11 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.11/1.11 ------ Proving...
% 2.11/1.11 ------ Problem Properties
% 2.11/1.11
% 2.11/1.11
% 2.11/1.11 clauses 13
% 2.11/1.11 conjectures 0
% 2.11/1.11 EPR 2
% 2.11/1.11 Horn 12
% 2.11/1.11 unary 3
% 2.11/1.11 binary 0
% 2.11/1.11 lits 39
% 2.11/1.11 lits eq 1
% 2.11/1.11 fd_pure 0
% 2.11/1.11 fd_pseudo 0
% 2.11/1.11 fd_cond 0
% 2.11/1.11 fd_pseudo_cond 0
% 2.11/1.11 AC symbols 0
% 2.11/1.11
% 2.11/1.11 ------ Schedule dynamic 5 is on
% 2.11/1.11
% 2.11/1.11 ------ no conjectures: strip conj schedule
% 2.11/1.11
% 2.11/1.11 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.11/1.11
% 2.11/1.11
% 2.11/1.11 ------
% 2.11/1.11 Current options:
% 2.11/1.11 ------
% 2.11/1.11
% 2.11/1.11
% 2.11/1.11
% 2.11/1.11
% 2.11/1.11 ------ Proving...
% 2.11/1.11
% 2.11/1.11
% 2.11/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 2.11/1.11
% 2.11/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.11/1.11
% 2.11/1.11
%------------------------------------------------------------------------------