TSTP Solution File: MGT034-1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : MGT034-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 : Sat May 4 08:37:23 EDT 2024
% Result : Satisfiable 0.18s 0.50s
% Output : Saturation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_31)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_32,hypothesis,
( decreases(difference(founding_rate(first_movers,X2),founding_rate(efficient_producers,X2)))
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
c_0_28,
[final] ).
cnf(c_0_33,plain,
( subpopulations(first_movers,efficient_producers,X1,critical_point(X1))
| ~ environment(X1)
| ~ in_environment(X1,critical_point(X1)) ),
c_0_29,
[final] ).
cnf(c_0_34,plain,
( greater(zero,difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)))
| greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
c_0_30,
[final] ).
cnf(c_0_35,plain,
( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ),
c_0_31,
[final] ).
cnf(c_0_36,hypothesis,
( decreases(difference(founding_rate(first_movers,critical_point(X1)),founding_rate(efficient_producers,critical_point(X1))))
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]),
[final] ).
cnf(c_0_38,plain,
( greater_or_equal(difference(growth_rate(first_movers,critical_point(X1)),growth_rate(efficient_producers,critical_point(X1))),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(X1)),growth_rate(efficient_producers,critical_point(X1))))
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_33]),
[final] ).
cnf(c_0_39,negated_conjecture,
in_environment(sk1,critical_point(sk1)),
prove_t3_55,
[final] ).
cnf(c_0_40,negated_conjecture,
environment(sk1),
prove_t3_54,
[final] ).
cnf(c_0_42,hypothesis,
( decreases(difference(disbanding_rate(first_movers,critical_point(X1)),disbanding_rate(efficient_producers,critical_point(X1))))
| decreases(difference(growth_rate(first_movers,critical_point(X1)),growth_rate(efficient_producers,critical_point(X1))))
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]),
[final] ).
cnf(c_0_44,plain,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
c_0_37,
[final] ).
cnf(c_0_45,negated_conjecture,
( greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]),
[final] ).
cnf(c_0_47,plain,
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
c_0_41,
[final] ).
cnf(c_0_50,plain,
( greater(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))
| ~ greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
c_0_43,
[final] ).
cnf(c_0_51,negated_conjecture,
( difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero
| greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| greater(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]),
[final] ).
cnf(c_0_52,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,X4)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater_or_equal(X4,X2)
| ~ greater_or_equal(X3,X4) ),
c_0_46,
[final] ).
cnf(c_0_57,plain,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) ),
c_0_49,
[final] ).
cnf(c_0_58,negated_conjecture,
( difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero
| greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| greater(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]),
[final] ).
cnf(c_0_60,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(critical_point(X1),X2)
| ~ greater_or_equal(X2,X3)
| ~ in_environment(X1,critical_point(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_33]),
[final] ).
cnf(c_0_62,plain,
( in_environment(X1,X4)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ in_environment(X1,X3)
| ~ greater_or_equal(X3,X4)
| ~ greater_or_equal(X4,X2) ),
c_0_53,
[final] ).
cnf(c_0_63,plain,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
c_0_54,
[final] ).
cnf(c_0_65,plain,
( greater(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ greater_or_equal(X3,appear(efficient_producers,X1))
| ~ greater(X2,X3)
| ~ decreases(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3))) ),
c_0_55,
[final] ).
cnf(c_0_68,negated_conjecture,
decreases(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_33]),c_0_40]),c_0_39])]),
[final] ).
cnf(c_0_69,negated_conjecture,
( difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero
| greater(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]),
[final] ).
cnf(c_0_73,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(critical_point(X1),X2)
| ~ greater_or_equal(X2,critical_point(X1))
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_33]),
[final] ).
cnf(c_0_74,plain,
( greater_or_equal(X2,appear(efficient_producers,X1))
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
c_0_61,
[final] ).
cnf(c_0_75,plain,
( in_environment(X1,X2)
| ~ greater_or_equal(X3,X2)
| ~ in_environment(X1,X3)
| ~ in_environment(X1,X4)
| ~ greater(X2,X4)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]),
[final] ).
cnf(c_0_77,plain,
( greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X2))
| ~ in_environment(X2,X3)
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ greater(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero)
| ~ greater(X3,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_63]),
[final] ).
cnf(c_0_78,plain,
( greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ greater(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)) ),
c_0_66,
[final] ).
cnf(c_0_80,plain,
( selection_favors(X3,X2,X4)
| ~ environment(X1)
| ~ subpopulations(X2,X3,X1,X4)
| ~ greater(growth_rate(X3,X4),growth_rate(X2,X4)) ),
c_0_67,
[final] ).
cnf(c_0_81,negated_conjecture,
( decreases(zero)
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1)))
| greater(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]),
[final] ).
cnf(c_0_82,plain,
( subpopulations(efficient_producers,first_movers,X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
c_0_70,
[final] ).
cnf(c_0_83,hypothesis,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(X1,critical_point(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(er,[status(thm)],[c_0_71]),
[final] ).
cnf(c_0_84,plain,
( subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1))
| ~ environment(X1)
| ~ in_environment(X1,appear(efficient_producers,X1)) ),
c_0_72,
[final] ).
cnf(c_0_85,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(X2,critical_point(X1))
| ~ in_environment(X1,critical_point(X1))
| ~ greater(critical_point(X1),X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_63]),
[final] ).
cnf(c_0_86,plain,
( X1 = appear(efficient_producers,X2)
| greater(X1,appear(efficient_producers,X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_74]),
[final] ).
cnf(c_0_88,plain,
( in_environment(X1,X2)
| ~ in_environment(X1,X3)
| ~ in_environment(X1,X4)
| ~ greater(X2,X4)
| ~ greater(X3,X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_63]),
[final] ).
cnf(c_0_89,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_76]),
[final] ).
cnf(c_0_90,plain,
( greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X2))
| ~ in_environment(X2,X3)
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ greater(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3))
| ~ greater(X3,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]),
[final] ).
cnf(c_0_94,plain,
( subpopulations(efficient_producers,first_movers,X1,critical_point(X1))
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_33]),
[final] ).
cnf(c_0_95,hypothesis,
( greater(growth_rate(efficient_producers,appear(efficient_producers,X1)),growth_rate(first_movers,appear(efficient_producers,X1)))
| ~ in_environment(X1,appear(efficient_producers,X1))
| ~ greater(appear(efficient_producers,X1),critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]),
[final] ).
cnf(c_0_96,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,X2)
| ~ in_environment(X1,critical_point(X1))
| ~ greater(critical_point(X1),X2)
| ~ greater(X2,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_63]),
[final] ).
cnf(c_0_97,plain,
( appear(efficient_producers,X1) = critical_point(X1)
| greater(critical_point(X1),appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_33]),
[final] ).
cnf(c_0_98,plain,
( greater_or_equal(appear(first_movers,X1),start_time(X1))
| ~ environment(X1) ),
c_0_87,
[final] ).
cnf(c_0_100,negated_conjecture,
( in_environment(sk1,X1)
| ~ in_environment(sk1,X2)
| ~ greater(critical_point(sk1),X1)
| ~ greater(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_39]),c_0_40])]),
[final] ).
cnf(c_0_101,negated_conjecture,
greater(critical_point(sk1),sk2),
prove_t3_57,
[final] ).
cnf(c_0_102,negated_conjecture,
( greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1)))
| greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X2))
| ~ in_environment(X2,critical_point(sk1))
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ greater(critical_point(sk1),X1)
| ~ environment(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_69]),c_0_89])]),c_0_90]),
[final] ).
cnf(c_0_103,negated_conjecture,
( greater(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1)))
| ~ greater(zero,zero) ),
inference(spm,[status(thm)],[c_0_57,c_0_69]),
[final] ).
cnf(c_0_104,negated_conjecture,
( in_environment(X1,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| ~ greater_or_equal(X2,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| ~ in_environment(X1,zero)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_45]),
[final] ).
cnf(c_0_105,negated_conjecture,
( greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X2))
| ~ in_environment(X2,critical_point(sk1))
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ greater(critical_point(sk1),X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_45]),
[final] ).
cnf(c_0_106,plain,
( greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
c_0_91,
[final] ).
cnf(c_0_107,hypothesis,
( ~ greater(growth_rate(efficient_producers,critical_point(X1)),growth_rate(first_movers,critical_point(X1)))
| ~ environment(X1) ),
inference(er,[status(thm)],[c_0_92]),
[final] ).
cnf(c_0_109,hypothesis,
( decreases(difference(founding_rate(first_movers,appear(efficient_producers,X1)),founding_rate(efficient_producers,appear(efficient_producers,X1))))
| ~ in_environment(X1,appear(efficient_producers,X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_84]),
[final] ).
cnf(c_0_110,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(appear(efficient_producers,X1),X2)
| ~ greater_or_equal(X2,X3)
| ~ in_environment(X1,appear(efficient_producers,X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_84]),
[final] ).
cnf(c_0_111,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X2))
| ~ greater_or_equal(appear(efficient_producers,X2),critical_point(X1))
| ~ in_environment(X1,critical_point(X1))
| ~ subpopulations(first_movers,efficient_producers,X2,critical_point(X1))
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]),
[final] ).
cnf(c_0_113,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ greater_or_equal(critical_point(X1),X2)
| ~ in_environment(X1,appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_84]),
[final] ).
cnf(c_0_114,negated_conjecture,
greater_or_equal(sk2,appear(efficient_producers,sk1)),
prove_t3_56,
[final] ).
cnf(c_0_115,negated_conjecture,
( subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ greater(critical_point(sk1),X1)
| ~ greater(X1,critical_point(sk1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_39]),c_0_40])]),
[final] ).
cnf(c_0_116,negated_conjecture,
( appear(efficient_producers,sk1) = critical_point(sk1)
| greater(critical_point(sk1),appear(efficient_producers,sk1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_39]),c_0_40])]),
[final] ).
cnf(c_0_117,plain,
( in_environment(X1,appear(first_movers,X2))
| ~ greater_or_equal(X3,appear(first_movers,X2))
| ~ in_environment(X1,start_time(X2))
| ~ in_environment(X1,X3)
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_98]),
[final] ).
cnf(c_0_118,plain,
( in_environment(X1,start_time(X1))
| ~ environment(X1) ),
c_0_99,
[final] ).
cnf(c_0_119,negated_conjecture,
( in_environment(sk1,sk2)
| ~ in_environment(sk1,X1)
| ~ greater(sk2,X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]),
[final] ).
cnf(c_0_120,plain,
( start_time(X1) = appear(first_movers,X1)
| greater(appear(first_movers,X1),start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_98]),
[final] ).
cnf(c_0_122,negated_conjecture,
( greater(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1)))
| ~ greater_or_equal(critical_point(sk1),appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(sk1))
| ~ greater(critical_point(sk1),critical_point(sk1))
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_69]),c_0_81]),c_0_103]),
[final] ).
cnf(c_0_123,negated_conjecture,
( greater(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1)))
| ~ greater_or_equal(critical_point(sk1),appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(sk1))
| ~ greater(critical_point(sk1),critical_point(sk1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_68]),
[final] ).
cnf(c_0_124,negated_conjecture,
( in_environment(X1,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| ~ in_environment(X1,zero)
| ~ in_environment(X1,X2)
| ~ greater(X2,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_63]),
[final] ).
cnf(c_0_125,negated_conjecture,
( greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| greater(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))
| ~ greater_or_equal(critical_point(sk1),appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(sk1))
| ~ greater(critical_point(sk1),critical_point(sk1))
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_69]),c_0_81]),c_0_103]),c_0_106]),
[final] ).
cnf(c_0_126,negated_conjecture,
( greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1)))
| greater(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))
| ~ greater_or_equal(critical_point(sk1),appear(efficient_producers,X1))
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2))
| ~ greater(X2,critical_point(sk1))
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_69]),c_0_81]),c_0_103]),
[final] ).
cnf(c_0_127,hypothesis,
( decreases(zero)
| selection_favors(first_movers,efficient_producers,critical_point(sk1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_40])]),
[final] ).
cnf(c_0_128,negated_conjecture,
( greater(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| ~ greater_or_equal(critical_point(sk1),appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(sk1))
| ~ greater(critical_point(sk1),critical_point(sk1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_68]),
[final] ).
cnf(c_0_129,negated_conjecture,
( greater(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| ~ greater_or_equal(critical_point(sk1),appear(efficient_producers,X1))
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2))
| ~ greater(X2,critical_point(sk1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_68]),
[final] ).
cnf(c_0_130,hypothesis,
( decreases(difference(disbanding_rate(first_movers,appear(efficient_producers,X1)),disbanding_rate(efficient_producers,appear(efficient_producers,X1))))
| decreases(difference(growth_rate(first_movers,appear(efficient_producers,X1)),growth_rate(efficient_producers,appear(efficient_producers,X1))))
| ~ in_environment(X1,appear(efficient_producers,X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_109]),
[final] ).
cnf(c_0_131,plain,
( greater_or_equal(difference(growth_rate(first_movers,appear(efficient_producers,X1)),growth_rate(efficient_producers,appear(efficient_producers,X1))),zero)
| greater(zero,difference(growth_rate(first_movers,appear(efficient_producers,X1)),growth_rate(efficient_producers,appear(efficient_producers,X1))))
| ~ in_environment(X1,appear(efficient_producers,X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_84]),
[final] ).
cnf(c_0_132,negated_conjecture,
( in_environment(X1,zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| ~ in_environment(X1,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| ~ in_environment(X1,X2)
| ~ greater(zero,X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_45]),
[final] ).
cnf(c_0_133,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X2))
| ~ greater_or_equal(appear(efficient_producers,X2),X3)
| ~ in_environment(X1,appear(efficient_producers,X1))
| ~ subpopulations(first_movers,efficient_producers,X2,appear(efficient_producers,X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_110,c_0_74]),
[final] ).
cnf(c_0_134,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X2))
| ~ in_environment(X1,critical_point(X1))
| ~ greater(appear(efficient_producers,X2),critical_point(X1))
| ~ subpopulations(first_movers,efficient_producers,X2,critical_point(X1))
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_63]),
[final] ).
cnf(c_0_135,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(X2,X3)
| ~ in_environment(X1,appear(efficient_producers,X1))
| ~ greater(appear(efficient_producers,X1),X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_63]),
[final] ).
cnf(c_0_136,hypothesis,
( selection_favors(efficient_producers,first_movers,appear(efficient_producers,X1))
| ~ in_environment(X1,appear(efficient_producers,X1))
| ~ greater(appear(efficient_producers,X1),critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_84]),
[final] ).
cnf(c_0_137,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(critical_point(X1),X2)
| ~ in_environment(X1,appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(X1))
| ~ greater(X2,appear(efficient_producers,X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_63]),
[final] ).
cnf(c_0_138,plain,
( in_environment(X1,appear(efficient_producers,X2))
| ~ in_environment(X1,X3)
| ~ in_environment(X1,X4)
| ~ greater(appear(efficient_producers,X2),X4)
| ~ subpopulations(first_movers,efficient_producers,X2,X3)
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_75,c_0_74]),
[final] ).
cnf(c_0_139,negated_conjecture,
( subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ greater_or_equal(critical_point(sk1),sk2)
| ~ in_environment(sk1,appear(efficient_producers,sk1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_39]),c_0_40])]),
[final] ).
cnf(c_0_140,negated_conjecture,
( appear(efficient_producers,sk1) = critical_point(sk1)
| subpopulations(first_movers,efficient_producers,sk1,appear(efficient_producers,sk1))
| ~ greater(appear(efficient_producers,sk1),critical_point(sk1)) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]),
[final] ).
cnf(c_0_141,negated_conjecture,
( subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ greater(sk2,critical_point(sk1)) ),
inference(spm,[status(thm)],[c_0_115,c_0_101]),
[final] ).
cnf(c_0_142,plain,
( in_environment(X1,X2)
| ~ greater_or_equal(X3,X2)
| ~ in_environment(X1,appear(efficient_producers,X4))
| ~ in_environment(X1,X3)
| ~ subpopulations(first_movers,efficient_producers,X4,X2)
| ~ environment(X1)
| ~ environment(X4) ),
inference(spm,[status(thm)],[c_0_62,c_0_74]),
[final] ).
cnf(c_0_143,hypothesis,
( ~ in_environment(X1,critical_point(X1))
| ~ greater(critical_point(X1),critical_point(X1))
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_33]),c_0_107]),
[final] ).
cnf(c_0_144,plain,
( in_environment(X1,appear(first_movers,X2))
| ~ in_environment(X1,start_time(X2))
| ~ in_environment(X1,X3)
| ~ greater(X3,appear(first_movers,X2))
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_117,c_0_63]),
[final] ).
cnf(c_0_145,negated_conjecture,
( appear(efficient_producers,sk1) = critical_point(sk1)
| in_environment(sk1,appear(efficient_producers,sk1))
| ~ in_environment(sk1,X1)
| ~ greater(appear(efficient_producers,sk1),X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_116]),
[final] ).
cnf(c_0_146,plain,
( in_environment(X1,start_time(X2))
| ~ in_environment(X1,appear(first_movers,X2))
| ~ in_environment(X1,X3)
| ~ greater(start_time(X2),X3)
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_75,c_0_98]),
[final] ).
cnf(c_0_147,plain,
( in_environment(X1,X2)
| ~ in_environment(X1,X3)
| ~ greater(start_time(X1),X2)
| ~ greater(X2,X3)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_118]),
[final] ).
cnf(c_0_148,negated_conjecture,
( in_environment(sk1,sk2)
| ~ greater(sk2,critical_point(sk1)) ),
inference(spm,[status(thm)],[c_0_119,c_0_39]),
[final] ).
cnf(c_0_149,negated_conjecture,
( in_environment(sk1,sk2)
| ~ greater(sk2,start_time(sk1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_118]),c_0_40])]),
[final] ).
cnf(c_0_150,negated_conjecture,
( in_environment(X1,appear(efficient_producers,sk1))
| ~ in_environment(X1,sk2)
| ~ in_environment(X1,X2)
| ~ greater(appear(efficient_producers,sk1),X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_114]),
[final] ).
cnf(c_0_151,plain,
( subpopulations(efficient_producers,first_movers,X1,appear(efficient_producers,X1))
| ~ in_environment(X1,appear(efficient_producers,X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_84]),
[final] ).
cnf(c_0_152,negated_conjecture,
( in_environment(X1,sk2)
| ~ greater_or_equal(X2,sk2)
| ~ in_environment(X1,appear(efficient_producers,sk1))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_114]),
[final] ).
cnf(c_0_153,negated_conjecture,
( start_time(sk1) = appear(first_movers,sk1)
| greater(appear(first_movers,sk1),start_time(sk1)) ),
inference(spm,[status(thm)],[c_0_120,c_0_40]),
[final] ).
cnf(c_0_154,negated_conjecture,
( appear(efficient_producers,sk1) = sk2
| greater(sk2,appear(efficient_producers,sk1)) ),
inference(spm,[status(thm)],[c_0_44,c_0_114]),
[final] ).
cnf(c_0_155,negated_conjecture,
~ selection_favors(first_movers,efficient_producers,sk2),
c_0_121,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : MGT034-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.12/0.35 % Computer : n009.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Fri May 3 14:10:53 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.18/0.48 Running first-order model finding
% 0.18/0.48 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.awSoUGcUiu/E---3.1_11868.p
% 0.18/0.50 # Version: 3.1.0
% 0.18/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.50 # Starting sh5l with 300s (1) cores
% 0.18/0.50 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 11945 completed with status 1
% 0.18/0.50 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.50 # No SInE strategy applied
% 0.18/0.50 # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.18/0.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.50 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 811s (1) cores
% 0.18/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.18/0.50 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.18/0.50 # Starting new_bool_3 with 136s (1) cores
% 0.18/0.50 # Starting new_bool_1 with 136s (1) cores
% 0.18/0.50 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 11953 completed with status 1
% 0.18/0.50 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.50 # No SInE strategy applied
% 0.18/0.50 # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.18/0.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.50 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 811s (1) cores
% 0.18/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.18/0.50 # Preprocessing time : 0.001 s
% 0.18/0.50 # Presaturation interreduction done
% 0.18/0.50
% 0.18/0.50 # No proof found!
% 0.18/0.50 # SZS status Satisfiable
% 0.18/0.50 # SZS output start Saturation
% See solution above
% 0.18/0.50 # Parsed axioms : 28
% 0.18/0.50 # Removed by relevancy pruning/SinE : 0
% 0.18/0.50 # Initial clauses : 28
% 0.18/0.50 # Removed in clause preprocessing : 0
% 0.18/0.50 # Initial clauses in saturation : 28
% 0.18/0.50 # Processed clauses : 144
% 0.18/0.50 # ...of these trivial : 0
% 0.18/0.50 # ...subsumed : 11
% 0.18/0.50 # ...remaining for further processing : 133
% 0.18/0.50 # Other redundant clauses eliminated : 3
% 0.18/0.50 # Clauses deleted for lack of memory : 0
% 0.18/0.50 # Backward-subsumed : 4
% 0.18/0.50 # Backward-rewritten : 2
% 0.18/0.50 # Generated clauses : 103
% 0.18/0.50 # ...of the previous two non-redundant : 89
% 0.18/0.50 # ...aggressively subsumed : 0
% 0.18/0.50 # Contextual simplify-reflections : 9
% 0.18/0.50 # Paramodulations : 100
% 0.18/0.50 # Factorizations : 0
% 0.18/0.50 # NegExts : 0
% 0.18/0.50 # Equation resolutions : 3
% 0.18/0.50 # Disequality decompositions : 0
% 0.18/0.50 # Total rewrite steps : 18
% 0.18/0.50 # ...of those cached : 13
% 0.18/0.50 # Propositional unsat checks : 0
% 0.18/0.50 # Propositional check models : 0
% 0.18/0.50 # Propositional check unsatisfiable : 0
% 0.18/0.50 # Propositional clauses : 0
% 0.18/0.50 # Propositional clauses after purity: 0
% 0.18/0.50 # Propositional unsat core size : 0
% 0.18/0.50 # Propositional preprocessing time : 0.000
% 0.18/0.50 # Propositional encoding time : 0.000
% 0.18/0.50 # Propositional solver time : 0.000
% 0.18/0.50 # Success case prop preproc time : 0.000
% 0.18/0.50 # Success case prop encoding time : 0.000
% 0.18/0.50 # Success case prop solver time : 0.000
% 0.18/0.50 # Current number of processed clauses : 96
% 0.18/0.50 # Positive orientable unit clauses : 6
% 0.18/0.50 # Positive unorientable unit clauses: 0
% 0.18/0.50 # Negative unit clauses : 1
% 0.18/0.51 # Non-unit-clauses : 89
% 0.18/0.51 # Current number of unprocessed clauses: 0
% 0.18/0.51 # ...number of literals in the above : 0
% 0.18/0.51 # Current number of archived formulas : 0
% 0.18/0.51 # Current number of archived clauses : 34
% 0.18/0.51 # Clause-clause subsumption calls (NU) : 4639
% 0.18/0.51 # Rec. Clause-clause subsumption calls : 747
% 0.18/0.51 # Non-unit clause-clause subsumptions : 24
% 0.18/0.51 # Unit Clause-clause subsumption calls : 0
% 0.18/0.51 # Rewrite failures with RHS unbound : 0
% 0.18/0.51 # BW rewrite match attempts : 5
% 0.18/0.51 # BW rewrite match successes : 1
% 0.18/0.51 # Condensation attempts : 0
% 0.18/0.51 # Condensation successes : 0
% 0.18/0.51 # Termbank termtop insertions : 5661
% 0.18/0.51 # Search garbage collected termcells : 97
% 0.18/0.51
% 0.18/0.51 # -------------------------------------------------
% 0.18/0.51 # User time : 0.015 s
% 0.18/0.51 # System time : 0.002 s
% 0.18/0.51 # Total time : 0.017 s
% 0.18/0.51 # Maximum resident set size: 1760 pages
% 0.18/0.51
% 0.18/0.51 # -------------------------------------------------
% 0.18/0.51 # User time : 0.072 s
% 0.18/0.51 # System time : 0.007 s
% 0.18/0.51 # Total time : 0.079 s
% 0.18/0.51 # Maximum resident set size: 1756 pages
% 0.18/0.51 % E---3.1 exiting
%------------------------------------------------------------------------------