%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : MGT034+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:27:35 PM UTC 2026
% Result : CounterSatisfiable 0.14s 0.49s
% Output : Saturation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_25ERROR: Could not build tree for root c_0_38ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_26,hypothesis,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| decreases(difference(founding_rate(first_movers,X2),founding_rate(efficient_producers,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_27,plain,
( ~ in_environment(X1,critical_point(X1))
| ~ environment(X1)
| subpopulations(first_movers,efficient_producers,X1,critical_point(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_28,plain,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| greater(zero,difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_23]),
[final] ).
cnf(c_0_31,plain,
( ~ decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1)))
| decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_25]),
[final] ).
cnf(c_0_32,hypothesis,
( ~ environment(X1)
| ~ in_environment(X1,critical_point(X1))
| decreases(difference(founding_rate(first_movers,critical_point(X1)),founding_rate(efficient_producers,critical_point(X1)))) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]),
[final] ).
cnf(c_0_34,plain,
( ~ environment(X1)
| ~ in_environment(X1,critical_point(X1))
| greater(zero,difference(growth_rate(first_movers,critical_point(X1)),growth_rate(efficient_producers,critical_point(X1))))
| greater_or_equal(difference(growth_rate(first_movers,critical_point(X1)),growth_rate(efficient_producers,critical_point(X1))),zero) ),
inference(spm,[status(thm)],[c_0_28,c_0_27]),
[final] ).
cnf(c_0_35,negated_conjecture,
in_environment(esk1_0,critical_point(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_29]),
[final] ).
cnf(c_0_36,negated_conjecture,
environment(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]),
[final] ).
cnf(c_0_38,hypothesis,
( ~ environment(X1)
| ~ in_environment(X1,critical_point(X1))
| decreases(difference(growth_rate(first_movers,critical_point(X1)),growth_rate(efficient_producers,critical_point(X1))))
| decreases(difference(disbanding_rate(first_movers,critical_point(X1)),disbanding_rate(efficient_producers,critical_point(X1)))) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]),
[final] ).
cnf(c_0_40,plain,
( ~ greater_or_equal(X1,X2)
| X1 = X2
| greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]),
[final] ).
cnf(c_0_41,negated_conjecture,
( greater(zero,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))))
| greater_or_equal(difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),
[final] ).
cnf(c_0_43,plain,
( ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]),
[final] ).
cnf(c_0_46,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)) ),
inference(split_conjunct,[status(thm)],[c_0_39]),
[final] ).
cnf(c_0_47,negated_conjecture,
( greater(difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))))
| difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))) = zero ),
inference(spm,[status(thm)],[c_0_40,c_0_41]),
[final] ).
cnf(c_0_49,hypothesis,
( ~ greater_or_equal(X3,X4)
| ~ greater_or_equal(X4,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| subpopulations(first_movers,efficient_producers,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_42]),
[final] ).
cnf(c_0_53,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)) ),
inference(split_conjunct,[status(thm)],[c_0_45]),
[final] ).
cnf(c_0_54,negated_conjecture,
( greater(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0)))
| greater(zero,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))))
| difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))) = zero ),
inference(spm,[status(thm)],[c_0_46,c_0_47]),
[final] ).
cnf(c_0_56,hypothesis,
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ in_environment(X1,critical_point(X1))
| ~ greater_or_equal(X2,X3)
| ~ greater_or_equal(critical_point(X1),X2)
| subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_27]),
[final] ).
cnf(c_0_58,plain,
( ~ greater_or_equal(X4,X2)
| ~ greater_or_equal(X3,X4)
| ~ in_environment(X1,X3)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| in_environment(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_50]),
[final] ).
cnf(c_0_59,plain,
( ~ greater(X1,X2)
| greater_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]),
[final] ).
cnf(c_0_60,plain,
( ~ decreases(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)))
| ~ greater(X2,X3)
| ~ greater_or_equal(X3,appear(efficient_producers,X1))
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero) ),
inference(split_conjunct,[status(thm)],[c_0_51]),
[final] ).
cnf(c_0_62,negated_conjecture,
decreases(difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_27]),c_0_36]),c_0_35])]),
[final] ).
cnf(c_0_63,negated_conjecture,
( greater(growth_rate(efficient_producers,critical_point(esk1_0)),growth_rate(first_movers,critical_point(esk1_0)))
| greater(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0)))
| difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))) = zero ),
inference(spm,[status(thm)],[c_0_53,c_0_54]),
[final] ).
cnf(c_0_67,hypothesis,
( ~ environment(X1)
| ~ in_environment(X1,critical_point(X1))
| ~ greater_or_equal(X2,critical_point(X1))
| ~ greater_or_equal(critical_point(X1),X2)
| subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_27]),
[final] ).
cnf(c_0_68,plain,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| greater_or_equal(X2,appear(efficient_producers,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_57]),
[final] ).
cnf(c_0_69,plain,
( ~ environment(X1)
| ~ greater(X2,X4)
| ~ in_environment(X1,X4)
| ~ in_environment(X1,X3)
| ~ greater_or_equal(X3,X2)
| in_environment(X1,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]),
[final] ).
cnf(c_0_71,plain,
( ~ environment(X2)
| ~ greater(X3,X1)
| ~ greater(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero)
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ in_environment(X2,X3)
| ~ greater_or_equal(X1,appear(efficient_producers,X2))
| greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
inference(spm,[status(thm)],[c_0_60,c_0_59]),
[final] ).
cnf(c_0_72,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) ),
inference(split_conjunct,[status(thm)],[c_0_39]),
[final] ).
cnf(c_0_73,plain,
( ~ greater(growth_rate(X3,X4),growth_rate(X2,X4))
| ~ subpopulations(X2,X3,X1,X4)
| ~ environment(X1)
| selection_favors(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_61]),
[final] ).
cnf(c_0_74,negated_conjecture,
( greater(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0)))
| greater(growth_rate(efficient_producers,critical_point(esk1_0)),growth_rate(first_movers,critical_point(esk1_0)))
| decreases(zero) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]),
[final] ).
cnf(c_0_75,plain,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| subpopulations(efficient_producers,first_movers,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]),
[final] ).
cnf(c_0_76,hypothesis,
( ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ greater(X1,critical_point(X2))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(er,[status(thm)],[c_0_65]),
[final] ).
cnf(c_0_77,plain,
( ~ in_environment(X1,appear(efficient_producers,X1))
| ~ environment(X1)
| subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_66]),
[final] ).
cnf(c_0_78,hypothesis,
( ~ environment(X1)
| ~ greater(critical_point(X1),X2)
| ~ in_environment(X1,critical_point(X1))
| ~ greater_or_equal(X2,critical_point(X1))
| subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_59]),
[final] ).
cnf(c_0_79,plain,
( ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| greater(X1,appear(efficient_producers,X2))
| X1 = appear(efficient_producers,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_68]),
[final] ).
cnf(c_0_81,plain,
( ~ environment(X1)
| ~ greater(X3,X2)
| ~ greater(X2,X4)
| ~ in_environment(X1,X4)
| ~ in_environment(X1,X3)
| in_environment(X1,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_59]),
[final] ).
cnf(c_0_82,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_70]),
[final] ).
cnf(c_0_83,plain,
( ~ environment(X2)
| ~ greater(X3,X1)
| ~ greater(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3))
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ in_environment(X2,X3)
| ~ greater_or_equal(X1,appear(efficient_producers,X2))
| greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]),
[final] ).
cnf(c_0_86,plain,
( ~ environment(X1)
| ~ in_environment(X1,critical_point(X1))
| subpopulations(efficient_producers,first_movers,X1,critical_point(X1)) ),
inference(spm,[status(thm)],[c_0_75,c_0_27]),
[final] ).
cnf(c_0_87,hypothesis,
( ~ environment(X1)
| ~ greater(appear(efficient_producers,X1),critical_point(X1))
| ~ in_environment(X1,appear(efficient_producers,X1))
| greater(growth_rate(efficient_producers,appear(efficient_producers,X1)),growth_rate(first_movers,appear(efficient_producers,X1))) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]),
[final] ).
cnf(c_0_88,hypothesis,
( ~ environment(X1)
| ~ greater(X2,critical_point(X1))
| ~ greater(critical_point(X1),X2)
| ~ in_environment(X1,critical_point(X1))
| subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_59]),
[final] ).
cnf(c_0_89,plain,
( ~ environment(X1)
| ~ in_environment(X1,critical_point(X1))
| greater(critical_point(X1),appear(efficient_producers,X1))
| appear(efficient_producers,X1) = critical_point(X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_27]),
[final] ).
cnf(c_0_90,plain,
( ~ environment(X1)
| greater_or_equal(appear(first_movers,X1),start_time(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_80]),
[final] ).
cnf(c_0_92,negated_conjecture,
( ~ greater(X1,X2)
| ~ greater(critical_point(esk1_0),X1)
| ~ in_environment(esk1_0,X2)
| in_environment(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_35]),c_0_36])]),
[final] ).
cnf(c_0_93,negated_conjecture,
greater(critical_point(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_29]),
[final] ).
cnf(c_0_94,negated_conjecture,
( ~ environment(X2)
| ~ greater(critical_point(esk1_0),X1)
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ in_environment(X2,critical_point(esk1_0))
| ~ greater_or_equal(X1,appear(efficient_producers,X2))
| greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| greater(growth_rate(efficient_producers,critical_point(esk1_0)),growth_rate(first_movers,critical_point(esk1_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_63]),c_0_82])]),c_0_83]),
[final] ).
cnf(c_0_95,negated_conjecture,
( ~ greater(zero,zero)
| greater(growth_rate(efficient_producers,critical_point(esk1_0)),growth_rate(first_movers,critical_point(esk1_0)))
| greater(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))) ),
inference(spm,[status(thm)],[c_0_53,c_0_63]),
[final] ).
cnf(c_0_96,negated_conjecture,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ in_environment(X1,zero)
| ~ greater_or_equal(X2,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))))
| greater(zero,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))))
| in_environment(X1,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_58,c_0_41]),
[final] ).
cnf(c_0_97,negated_conjecture,
( ~ environment(X2)
| ~ greater(critical_point(esk1_0),X1)
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ in_environment(X2,critical_point(esk1_0))
| ~ greater_or_equal(X1,appear(efficient_producers,X2))
| greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_60,c_0_41]),
[final] ).
cnf(c_0_98,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))) ),
inference(split_conjunct,[status(thm)],[c_0_45]),
[final] ).
cnf(c_0_99,hypothesis,
( ~ environment(X1)
| ~ greater(growth_rate(efficient_producers,critical_point(X1)),growth_rate(first_movers,critical_point(X1))) ),
inference(er,[status(thm)],[c_0_84]),
[final] ).
cnf(c_0_101,hypothesis,
( ~ environment(X1)
| ~ in_environment(X1,appear(efficient_producers,X1))
| decreases(difference(founding_rate(first_movers,appear(efficient_producers,X1)),founding_rate(efficient_producers,appear(efficient_producers,X1)))) ),
inference(spm,[status(thm)],[c_0_26,c_0_77]),
[final] ).
cnf(c_0_102,hypothesis,
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ in_environment(X1,appear(efficient_producers,X1))
| ~ greater_or_equal(X2,X3)
| ~ greater_or_equal(appear(efficient_producers,X1),X2)
| subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_77]),
[final] ).
cnf(c_0_103,hypothesis,
( ~ environment(X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X2,critical_point(X1))
| ~ in_environment(X1,critical_point(X1))
| ~ greater_or_equal(appear(efficient_producers,X2),critical_point(X1))
| subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X2)) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]),
[final] ).
cnf(c_0_105,hypothesis,
( ~ environment(X1)
| ~ in_environment(X1,critical_point(X1))
| ~ in_environment(X1,appear(efficient_producers,X1))
| ~ greater_or_equal(critical_point(X1),X2)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_77]),
[final] ).
cnf(c_0_106,negated_conjecture,
greater_or_equal(esk2_0,appear(efficient_producers,esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_29]),
[final] ).
cnf(c_0_107,negated_conjecture,
( ~ greater(X1,critical_point(esk1_0))
| ~ greater(critical_point(esk1_0),X1)
| subpopulations(first_movers,efficient_producers,esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_35]),c_0_36])]),
[final] ).
cnf(c_0_108,negated_conjecture,
( greater(critical_point(esk1_0),appear(efficient_producers,esk1_0))
| appear(efficient_producers,esk1_0) = critical_point(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_35]),c_0_36])]),
[final] ).
cnf(c_0_109,plain,
( ~ environment(X2)
| ~ environment(X1)
| ~ in_environment(X1,X3)
| ~ in_environment(X1,start_time(X2))
| ~ greater_or_equal(X3,appear(first_movers,X2))
| in_environment(X1,appear(first_movers,X2)) ),
inference(spm,[status(thm)],[c_0_58,c_0_90]),
[final] ).
cnf(c_0_110,plain,
( ~ environment(X1)
| in_environment(X1,start_time(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_91]),
[final] ).
cnf(c_0_111,negated_conjecture,
( ~ greater(esk2_0,X1)
| ~ in_environment(esk1_0,X1)
| in_environment(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]),
[final] ).
cnf(c_0_112,plain,
( ~ environment(X1)
| greater(appear(first_movers,X1),start_time(X1))
| start_time(X1) = appear(first_movers,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_90]),
[final] ).
cnf(c_0_113,negated_conjecture,
( ~ environment(X1)
| ~ greater(critical_point(esk1_0),critical_point(esk1_0))
| ~ in_environment(X1,critical_point(esk1_0))
| ~ greater_or_equal(critical_point(esk1_0),appear(efficient_producers,X1))
| greater(growth_rate(efficient_producers,critical_point(esk1_0)),growth_rate(first_movers,critical_point(esk1_0)))
| greater(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_63]),c_0_74]),c_0_95]),
[final] ).
cnf(c_0_114,negated_conjecture,
( ~ environment(X1)
| ~ greater(critical_point(esk1_0),critical_point(esk1_0))
| ~ in_environment(X1,critical_point(esk1_0))
| ~ greater_or_equal(critical_point(esk1_0),appear(efficient_producers,X1))
| greater(growth_rate(efficient_producers,critical_point(esk1_0)),growth_rate(first_movers,critical_point(esk1_0)))
| greater(difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))),zero) ),
inference(spm,[status(thm)],[c_0_94,c_0_62]),
[final] ).
cnf(c_0_115,negated_conjecture,
( ~ environment(X1)
| ~ greater(X2,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))))
| ~ in_environment(X1,X2)
| ~ in_environment(X1,zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))))
| in_environment(X1,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_96,c_0_59]),
[final] ).
cnf(c_0_116,negated_conjecture,
( ~ environment(X1)
| ~ greater(critical_point(esk1_0),critical_point(esk1_0))
| ~ in_environment(X1,critical_point(esk1_0))
| ~ greater_or_equal(critical_point(esk1_0),appear(efficient_producers,X1))
| greater(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0)))
| greater(zero,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_63]),c_0_74]),c_0_95]),c_0_98]),
[final] ).
cnf(c_0_117,negated_conjecture,
( ~ environment(X1)
| ~ greater(X2,critical_point(esk1_0))
| ~ greater(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2))
| ~ in_environment(X1,X2)
| ~ greater_or_equal(critical_point(esk1_0),appear(efficient_producers,X1))
| greater(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0)))
| greater(growth_rate(efficient_producers,critical_point(esk1_0)),growth_rate(first_movers,critical_point(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_63]),c_0_74]),c_0_95]),
[final] ).
cnf(c_0_118,hypothesis,
( selection_favors(first_movers,efficient_producers,critical_point(esk1_0))
| decreases(zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_36])]),
[final] ).
cnf(c_0_119,negated_conjecture,
( ~ environment(X1)
| ~ greater(critical_point(esk1_0),critical_point(esk1_0))
| ~ in_environment(X1,critical_point(esk1_0))
| ~ greater_or_equal(critical_point(esk1_0),appear(efficient_producers,X1))
| greater(zero,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))))
| greater(difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))),zero) ),
inference(spm,[status(thm)],[c_0_97,c_0_62]),
[final] ).
cnf(c_0_120,negated_conjecture,
( ~ environment(X1)
| ~ greater(X2,critical_point(esk1_0))
| ~ greater(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2))
| ~ in_environment(X1,X2)
| ~ greater_or_equal(critical_point(esk1_0),appear(efficient_producers,X1))
| greater(difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))),zero) ),
inference(spm,[status(thm)],[c_0_83,c_0_62]),
[final] ).
cnf(c_0_121,hypothesis,
( ~ environment(X1)
| ~ in_environment(X1,appear(efficient_producers,X1))
| decreases(difference(growth_rate(first_movers,appear(efficient_producers,X1)),growth_rate(efficient_producers,appear(efficient_producers,X1))))
| decreases(difference(disbanding_rate(first_movers,appear(efficient_producers,X1)),disbanding_rate(efficient_producers,appear(efficient_producers,X1)))) ),
inference(spm,[status(thm)],[c_0_31,c_0_101]),
[final] ).
cnf(c_0_122,plain,
( ~ environment(X1)
| ~ in_environment(X1,appear(efficient_producers,X1))
| greater(zero,difference(growth_rate(first_movers,appear(efficient_producers,X1)),growth_rate(efficient_producers,appear(efficient_producers,X1))))
| greater_or_equal(difference(growth_rate(first_movers,appear(efficient_producers,X1)),growth_rate(efficient_producers,appear(efficient_producers,X1))),zero) ),
inference(spm,[status(thm)],[c_0_28,c_0_77]),
[final] ).
cnf(c_0_123,negated_conjecture,
( ~ environment(X1)
| ~ greater(zero,X2)
| ~ in_environment(X1,X2)
| ~ in_environment(X1,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))))
| greater(zero,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))))
| in_environment(X1,zero) ),
inference(spm,[status(thm)],[c_0_69,c_0_41]),
[final] ).
cnf(c_0_124,hypothesis,
( ~ environment(X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ subpopulations(first_movers,efficient_producers,X2,appear(efficient_producers,X1))
| ~ in_environment(X1,appear(efficient_producers,X1))
| ~ greater_or_equal(appear(efficient_producers,X2),X3)
| subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X2)) ),
inference(spm,[status(thm)],[c_0_102,c_0_68]),
[final] ).
cnf(c_0_125,hypothesis,
( ~ environment(X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X2,critical_point(X1))
| ~ greater(appear(efficient_producers,X2),critical_point(X1))
| ~ in_environment(X1,critical_point(X1))
| subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X2)) ),
inference(spm,[status(thm)],[c_0_103,c_0_59]),
[final] ).
cnf(c_0_126,hypothesis,
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater(appear(efficient_producers,X1),X2)
| ~ in_environment(X1,appear(efficient_producers,X1))
| ~ greater_or_equal(X2,X3)
| subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_59]),
[final] ).
cnf(c_0_127,hypothesis,
( ~ environment(X1)
| ~ greater(appear(efficient_producers,X1),critical_point(X1))
| ~ in_environment(X1,appear(efficient_producers,X1))
| selection_favors(efficient_producers,first_movers,appear(efficient_producers,X1)) ),
inference(spm,[status(thm)],[c_0_104,c_0_77]),
[final] ).
cnf(c_0_128,hypothesis,
( ~ environment(X1)
| ~ greater(X2,appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(X1))
| ~ in_environment(X1,appear(efficient_producers,X1))
| ~ greater_or_equal(critical_point(X1),X2)
| subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(spm,[status(thm)],[c_0_105,c_0_59]),
[final] ).
cnf(c_0_129,plain,
( ~ environment(X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X3)
| ~ greater(appear(efficient_producers,X2),X4)
| ~ in_environment(X1,X4)
| ~ in_environment(X1,X3)
| in_environment(X1,appear(efficient_producers,X2)) ),
inference(spm,[status(thm)],[c_0_69,c_0_68]),
[final] ).
cnf(c_0_130,negated_conjecture,
( ~ in_environment(esk1_0,appear(efficient_producers,esk1_0))
| ~ greater_or_equal(critical_point(esk1_0),esk2_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_35]),c_0_36])]),
[final] ).
cnf(c_0_131,negated_conjecture,
( ~ greater(appear(efficient_producers,esk1_0),critical_point(esk1_0))
| subpopulations(first_movers,efficient_producers,esk1_0,appear(efficient_producers,esk1_0))
| appear(efficient_producers,esk1_0) = critical_point(esk1_0) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]),
[final] ).
cnf(c_0_132,negated_conjecture,
( ~ greater(esk2_0,critical_point(esk1_0))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_107,c_0_93]),
[final] ).
cnf(c_0_133,plain,
( ~ environment(X4)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X4,X2)
| ~ in_environment(X1,X3)
| ~ in_environment(X1,appear(efficient_producers,X4))
| ~ greater_or_equal(X3,X2)
| in_environment(X1,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_68]),
[final] ).
cnf(c_0_134,hypothesis,
( ~ environment(X1)
| ~ greater(critical_point(X1),critical_point(X1))
| ~ in_environment(X1,critical_point(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_27]),c_0_99]),
[final] ).
cnf(c_0_135,plain,
( ~ environment(X2)
| ~ environment(X1)
| ~ greater(X3,appear(first_movers,X2))
| ~ in_environment(X1,X3)
| ~ in_environment(X1,start_time(X2))
| in_environment(X1,appear(first_movers,X2)) ),
inference(spm,[status(thm)],[c_0_109,c_0_59]),
[final] ).
cnf(c_0_136,negated_conjecture,
( ~ greater(appear(efficient_producers,esk1_0),X1)
| ~ in_environment(esk1_0,X1)
| in_environment(esk1_0,appear(efficient_producers,esk1_0))
| appear(efficient_producers,esk1_0) = critical_point(esk1_0) ),
inference(spm,[status(thm)],[c_0_92,c_0_108]),
[final] ).
cnf(c_0_137,plain,
( ~ environment(X2)
| ~ environment(X1)
| ~ greater(start_time(X2),X3)
| ~ in_environment(X1,X3)
| ~ in_environment(X1,appear(first_movers,X2))
| in_environment(X1,start_time(X2)) ),
inference(spm,[status(thm)],[c_0_69,c_0_90]),
[final] ).
cnf(c_0_138,plain,
( ~ environment(X1)
| ~ greater(X2,X3)
| ~ greater(start_time(X1),X2)
| ~ in_environment(X1,X3)
| in_environment(X1,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_110]),
[final] ).
cnf(c_0_139,negated_conjecture,
( ~ greater(esk2_0,critical_point(esk1_0))
| in_environment(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_111,c_0_35]),
[final] ).
cnf(c_0_140,negated_conjecture,
( ~ greater(esk2_0,start_time(esk1_0))
| in_environment(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_110]),c_0_36])]),
[final] ).
cnf(c_0_141,negated_conjecture,
( ~ environment(X1)
| ~ greater(appear(efficient_producers,esk1_0),X2)
| ~ in_environment(X1,X2)
| ~ in_environment(X1,esk2_0)
| in_environment(X1,appear(efficient_producers,esk1_0)) ),
inference(spm,[status(thm)],[c_0_69,c_0_106]),
[final] ).
cnf(c_0_142,plain,
( ~ environment(X1)
| ~ in_environment(X1,appear(efficient_producers,X1))
| subpopulations(efficient_producers,first_movers,X1,appear(efficient_producers,X1)) ),
inference(spm,[status(thm)],[c_0_75,c_0_77]),
[final] ).
cnf(c_0_143,negated_conjecture,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ in_environment(X1,appear(efficient_producers,esk1_0))
| ~ greater_or_equal(X2,esk2_0)
| in_environment(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_106]),
[final] ).
cnf(c_0_144,negated_conjecture,
( greater(appear(first_movers,esk1_0),start_time(esk1_0))
| start_time(esk1_0) = appear(first_movers,esk1_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_36]),
[final] ).
cnf(c_0_145,negated_conjecture,
( greater(esk2_0,appear(efficient_producers,esk1_0))
| appear(efficient_producers,esk1_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_40,c_0_106]),
[final] ).
cnf(c_0_146,negated_conjecture,
~ selection_favors(first_movers,efficient_producers,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_29]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT034+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 01:22:09 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.49 % Version: 3.5.1
% 0.14/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.49 % Starting sh5l with 300s (1) cores
% 0.14/0.49 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3948945 completed with status 1
% 0.14/0.49 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.49 % No SInE strategy applied
% 0.14/0.49 % Search class: FGHSF-FFMS21-SFFFFFNN
% 0.14/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.49 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.49 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.14/0.49 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.14/0.49 % Starting new_bool_3 with 136s (1) cores
% 0.14/0.49 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3948951 completed with status 1
% 0.14/0.49 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.49 % No SInE strategy applied
% 0.14/0.49 % Search class: FGHSF-FFMS21-SFFFFFNN
% 0.14/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.49 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.49 % Preprocessing time : 0.001 s
% 0.14/0.49 % Presaturation interreduction done
% 0.14/0.49
% 0.14/0.49 % No proof found!
% 0.14/0.49 % SZS status CounterSatisfiable
% 0.14/0.49 % SZS output start Saturation
% See solution above
% 0.14/0.49 % Parsed axioms : 19
% 0.14/0.49 % Removed by relevancy pruning/SinE : 0
% 0.14/0.49 % Initial clauses : 28
% 0.14/0.49 % Removed in clause preprocessing : 0
% 0.14/0.49 % Initial clauses in saturation : 28
% 0.14/0.49 % Processed clauses : 144
% 0.14/0.49 % ...of these trivial : 0
% 0.14/0.49 % ...subsumed : 11
% 0.14/0.49 % ...remaining for further processing : 133
% 0.14/0.49 % Other redundant clauses eliminated : 3
% 0.14/0.49 % Clauses deleted for lack of memory : 0
% 0.14/0.49 % Backward-subsumed : 4
% 0.14/0.49 % Backward-rewritten : 2
% 0.14/0.49 % Generated clauses : 103
% 0.14/0.49 % ...of the previous two non-redundant : 89
% 0.14/0.49 % ...aggressively subsumed : 0
% 0.14/0.49 % Contextual simplify-reflections : 9
% 0.14/0.49 % Paramodulations : 100
% 0.14/0.49 % Factorizations : 0
% 0.14/0.49 % NegExts : 0
% 0.14/0.49 % Equation resolutions : 3
% 0.14/0.49 % Disequality decompositions : 0
% 0.14/0.49 % Total rewrite steps : 18
% 0.14/0.49 % ...of those cached : 13
% 0.14/0.49 % Propositional unsat checks : 0
% 0.14/0.49 % Propositional check models : 0
% 0.14/0.49 % Propositional check unsatisfiable : 0
% 0.14/0.49 % Propositional clauses : 0
% 0.14/0.49 % Propositional clauses after purity: 0
% 0.14/0.49 % Propositional unsat core size : 0
% 0.14/0.49 % Propositional preprocessing time : 0.000
% 0.14/0.49 % Propositional encoding time : 0.000
% 0.14/0.49 % Propositional solver time : 0.000
% 0.14/0.49 % Success case prop preproc time : 0.000
% 0.14/0.49 % Success case prop encoding time : 0.000
% 0.14/0.49 % Success case prop solver time : 0.000
% 0.14/0.49 % Current number of processed clauses : 96
% 0.14/0.49 % Positive orientable unit clauses : 6
% 0.14/0.49 % Positive unorientable unit clauses: 0
% 0.14/0.49 % Negative unit clauses : 1
% 0.14/0.49 % Non-unit-clauses : 89
% 0.14/0.49 % Current number of unprocessed clauses: 0
% 0.14/0.49 % ...number of literals in the above : 0
% 0.14/0.49 % Current number of archived formulas : 0
% 0.14/0.49 % Current number of archived clauses : 34
% 0.14/0.49 % Clause-clause subsumption calls (NU) : 4513
% 0.14/0.49 % Rec. Clause-clause subsumption calls : 647
% 0.14/0.49 % Non-unit clause-clause subsumptions : 24
% 0.14/0.49 % Unit Clause-clause subsumption calls : 1
% 0.14/0.49 % Rewrite failures with RHS unbound : 0
% 0.14/0.49 % BW rewrite match attempts : 5
% 0.14/0.49 % BW rewrite match successes : 1
% 0.14/0.49 % Condensation attempts : 0
% 0.14/0.49 % Condensation successes : 0
% 0.14/0.49 % Termbank termtop insertions : 7533
% 0.14/0.49 % Search garbage collected termcells : 493
% 0.14/0.49
% 0.14/0.49 % -------------------------------------------------
% 0.14/0.49 % User time : 0.022 s
% 0.14/0.49 % System time : 0.005 s
% 0.14/0.49 % Total time : 0.027 s
% 0.14/0.49 % Maximum resident set size: 3660 pages
% 0.14/0.49
% 0.14/0.49 % -------------------------------------------------
% 0.14/0.49 % User time : 0.066 s
% 0.14/0.49 % System time : 0.018 s
% 0.14/0.49 % Total time : 0.085 s
% 0.14/0.49 % Maximum resident set size: 4608 pages
% 0.14/0.49 % E exiting
%------------------------------------------------------------------------------