%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : MGT037+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n016.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 : Tue Sep 8 06:07:56 AM UTC 2026
% Result : Theorem 11.34s 3.66s
% Output : CNFRefutation 11.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 24
% Syntax : Number of clauses : 81 ( 19 unt; 30 nHn; 81 RR)
% Number of literals : 237 ( 36 equ; 125 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 89 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_13,plain,
( cardinality_at_time(efficient_producers,X1) = zero
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X2)
| ~ in_environment(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_13) ).
cnf(i_0_26,negated_conjecture,
in_environment(esk3_0,esk4_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_26) ).
cnf(i_0_27,negated_conjecture,
environment(esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_27) ).
cnf(i_0_24,negated_conjecture,
~ greater(cardinality_at_time(efficient_producers,esk4_0),zero),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_24) ).
cnf(i_0_3,plain,
( in_environment(X1,esk1_2(X1,X2))
| cardinality_at_time(efficient_producers,X2) != zero
| ~ environment(X1)
| ~ greater_or_equal(X2,appear(efficient_producers,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_3) ).
cnf(i_0_25,negated_conjecture,
greater_or_equal(esk4_0,appear(efficient_producers,esk3_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_25) ).
cnf(i_0_15,plain,
( greater_or_equal(X1,appear(an_organisation,X2))
| greater(appear(an_organisation,X2),X1)
| ~ environment(X2)
| ~ in_environment(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_15) ).
cnf(i_0_18,hypothesis,
( greater(number_of_organizations(X1,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(X2,appear(an_organisation,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_18) ).
cnf(i_0_16,hypothesis,
( constant(resources(X1,X2))
| greater(equilibrium(X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(number_of_organizations(X1,X2),zero) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_16) ).
cnf(i_0_7,plain,
( decreases(number_of_organizations(X1,X2))
| greater(cardinality_at_time(esk2_2(X1,X2),X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_7) ).
cnf(i_0_1,plain,
( greater(zero,growth_rate(efficient_producers,esk1_2(X1,X2)))
| cardinality_at_time(efficient_producers,X2) != zero
| ~ environment(X1)
| ~ greater_or_equal(X2,appear(efficient_producers,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_1) ).
cnf(i_0_19,hypothesis,
( constant(number_of_organizations(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ constant(resources(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_19) ).
cnf(i_0_23,hypothesis,
( X1 = efficient_producers
| X1 = first_movers
| ~ environment(X2)
| ~ subpopulation(X1,X2,X3)
| ~ greater(cardinality_at_time(X1,X3),zero) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_23) ).
cnf(i_0_8,plain,
( decreases(number_of_organizations(X1,X2))
| subpopulation(esk2_2(X1,X2),X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_8) ).
cnf(i_0_14,plain,
( ~ decreases(X1)
| ~ constant(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_14) ).
cnf(i_0_21,hypothesis,
( greater(zero,growth_rate(X1,X2))
| ~ environment(X3)
| ~ in_environment(X3,X2)
| ~ greater(zero,growth_rate(X4,X2))
| ~ greater(resilience(X4),resilience(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_21) ).
cnf(i_0_20,hypothesis,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ decreases(number_of_organizations(X1,X2))
| ~ decreases(resources(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_20) ).
cnf(i_0_17,hypothesis,
( decreases(resources(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(equilibrium(X1),X2)
| ~ greater(number_of_organizations(X1,X2),zero) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_17) ).
cnf(i_0_22,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_22) ).
cnf(i_0_6,plain,
( decreases(number_of_organizations(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(zero,growth_rate(esk2_2(X1,X2),X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_6) ).
cnf(i_0_5,plain,
( number_of_organizations(X1,X2) = zero
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(appear(an_organisation,X1),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_5) ).
cnf(i_0_9,plain,
( cardinality_at_time(X1,X2) = zero
| number_of_organizations(X3,X2) != zero
| ~ environment(X3)
| ~ in_environment(X3,X2)
| ~ subpopulation(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_9) ).
cnf(i_0_11,plain,
( subpopulation(first_movers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_11) ).
cnf(i_0_12,plain,
( cardinality_at_time(X1,X2) != zero
| ~ greater(zero,growth_rate(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-agchdzy4/lgb.p',i_0_12) ).
cnf(c_0_52,plain,
( cardinality_at_time(efficient_producers,X1) = zero
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X2)
| ~ in_environment(X2,X1) ),
i_0_13 ).
cnf(c_0_53,negated_conjecture,
in_environment(esk3_0,esk4_0),
i_0_26 ).
cnf(c_0_54,negated_conjecture,
environment(esk3_0),
i_0_27 ).
cnf(c_0_55,negated_conjecture,
~ greater(cardinality_at_time(efficient_producers,esk4_0),zero),
i_0_24 ).
cnf(c_0_56,plain,
( in_environment(X1,esk1_2(X1,X2))
| cardinality_at_time(efficient_producers,X2) != zero
| ~ environment(X1)
| ~ greater_or_equal(X2,appear(efficient_producers,X1)) ),
i_0_3 ).
cnf(c_0_57,negated_conjecture,
cardinality_at_time(efficient_producers,esk4_0) = zero,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]),c_0_55]) ).
cnf(c_0_58,plain,
( in_environment(X1,esk1_2(X1,esk4_0))
| ~ environment(X1)
| ~ greater_or_equal(esk4_0,appear(efficient_producers,X1)) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_59,negated_conjecture,
greater_or_equal(esk4_0,appear(efficient_producers,esk3_0)),
i_0_25 ).
cnf(c_0_60,plain,
( greater_or_equal(X1,appear(an_organisation,X2))
| greater(appear(an_organisation,X2),X1)
| ~ environment(X2)
| ~ in_environment(X2,X1) ),
i_0_15 ).
cnf(c_0_61,negated_conjecture,
in_environment(esk3_0,esk1_2(esk3_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_54])]) ).
cnf(c_0_62,hypothesis,
( greater(number_of_organizations(X1,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(X2,appear(an_organisation,X1)) ),
i_0_18 ).
cnf(c_0_63,plain,
( greater(appear(an_organisation,esk3_0),esk1_2(esk3_0,esk4_0))
| greater_or_equal(esk1_2(esk3_0,esk4_0),appear(an_organisation,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_54])]) ).
cnf(c_0_64,hypothesis,
( constant(resources(X1,X2))
| greater(equilibrium(X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(number_of_organizations(X1,X2),zero) ),
i_0_16 ).
cnf(c_0_65,hypothesis,
( greater(appear(an_organisation,esk3_0),esk1_2(esk3_0,esk4_0))
| greater(number_of_organizations(esk3_0,esk1_2(esk3_0,esk4_0)),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_61]),c_0_54])]) ).
cnf(c_0_66,plain,
( decreases(number_of_organizations(X1,X2))
| greater(cardinality_at_time(esk2_2(X1,X2),X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
i_0_7 ).
cnf(c_0_67,plain,
( greater(zero,growth_rate(efficient_producers,esk1_2(X1,X2)))
| cardinality_at_time(efficient_producers,X2) != zero
| ~ environment(X1)
| ~ greater_or_equal(X2,appear(efficient_producers,X1)) ),
i_0_1 ).
cnf(c_0_68,hypothesis,
( constant(number_of_organizations(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ constant(resources(X1,X2)) ),
i_0_19 ).
cnf(c_0_69,hypothesis,
( constant(resources(esk3_0,esk1_2(esk3_0,esk4_0)))
| greater(appear(an_organisation,esk3_0),esk1_2(esk3_0,esk4_0))
| greater(equilibrium(esk3_0),esk1_2(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_61]),c_0_54])]) ).
cnf(c_0_70,hypothesis,
( X1 = efficient_producers
| X1 = first_movers
| ~ environment(X2)
| ~ subpopulation(X1,X2,X3)
| ~ greater(cardinality_at_time(X1,X3),zero) ),
i_0_23 ).
cnf(c_0_71,plain,
( decreases(number_of_organizations(esk3_0,esk1_2(esk3_0,esk4_0)))
| greater(cardinality_at_time(esk2_2(esk3_0,esk1_2(esk3_0,esk4_0)),esk1_2(esk3_0,esk4_0)),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_61]),c_0_54])]) ).
cnf(c_0_72,plain,
( decreases(number_of_organizations(X1,X2))
| subpopulation(esk2_2(X1,X2),X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
i_0_8 ).
cnf(c_0_73,plain,
( greater(zero,growth_rate(efficient_producers,esk1_2(X1,esk4_0)))
| ~ environment(X1)
| ~ greater_or_equal(esk4_0,appear(efficient_producers,X1)) ),
inference(spm,[status(thm)],[c_0_67,c_0_57]) ).
cnf(c_0_74,plain,
( ~ decreases(X1)
| ~ constant(X1) ),
i_0_14 ).
cnf(c_0_75,hypothesis,
( constant(number_of_organizations(esk3_0,esk1_2(esk3_0,esk4_0)))
| greater(appear(an_organisation,esk3_0),esk1_2(esk3_0,esk4_0))
| greater(equilibrium(esk3_0),esk1_2(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_61]),c_0_54])]) ).
cnf(c_0_76,hypothesis,
( esk2_2(esk3_0,esk1_2(esk3_0,esk4_0)) = first_movers
| esk2_2(esk3_0,esk1_2(esk3_0,esk4_0)) = efficient_producers
| decreases(number_of_organizations(esk3_0,esk1_2(esk3_0,esk4_0)))
| ~ subpopulation(esk2_2(esk3_0,esk1_2(esk3_0,esk4_0)),X1,esk1_2(esk3_0,esk4_0))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,plain,
( subpopulation(esk2_2(esk3_0,esk1_2(esk3_0,esk4_0)),esk3_0,esk1_2(esk3_0,esk4_0))
| decreases(number_of_organizations(esk3_0,esk1_2(esk3_0,esk4_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_61]),c_0_54])]) ).
cnf(c_0_78,hypothesis,
( greater(zero,growth_rate(X1,X2))
| ~ environment(X3)
| ~ in_environment(X3,X2)
| ~ greater(zero,growth_rate(X4,X2))
| ~ greater(resilience(X4),resilience(X1)) ),
i_0_21 ).
cnf(c_0_79,negated_conjecture,
greater(zero,growth_rate(efficient_producers,esk1_2(esk3_0,esk4_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_59]),c_0_54])]) ).
cnf(c_0_80,plain,
( greater(appear(an_organisation,esk3_0),esk1_2(esk3_0,esk4_0))
| greater(equilibrium(esk3_0),esk1_2(esk3_0,esk4_0))
| ~ decreases(number_of_organizations(esk3_0,esk1_2(esk3_0,esk4_0))) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_81,plain,
( esk2_2(esk3_0,esk1_2(esk3_0,esk4_0)) = efficient_producers
| esk2_2(esk3_0,esk1_2(esk3_0,esk4_0)) = first_movers
| decreases(number_of_organizations(esk3_0,esk1_2(esk3_0,esk4_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_54])]) ).
cnf(c_0_82,hypothesis,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ decreases(number_of_organizations(X1,X2))
| ~ decreases(resources(X1,X2)) ),
i_0_20 ).
cnf(c_0_83,hypothesis,
( greater(zero,growth_rate(X1,esk1_2(esk3_0,esk4_0)))
| ~ in_environment(X2,esk1_2(esk3_0,esk4_0))
| ~ environment(X2)
| ~ greater(resilience(efficient_producers),resilience(X1)) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_84,hypothesis,
( decreases(resources(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(equilibrium(X1),X2)
| ~ greater(number_of_organizations(X1,X2),zero) ),
i_0_17 ).
cnf(c_0_85,plain,
( esk2_2(esk3_0,esk1_2(esk3_0,esk4_0)) = first_movers
| esk2_2(esk3_0,esk1_2(esk3_0,esk4_0)) = efficient_producers
| greater(appear(an_organisation,esk3_0),esk1_2(esk3_0,esk4_0))
| greater(equilibrium(esk3_0),esk1_2(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_86,hypothesis,
( esk2_2(esk3_0,esk1_2(esk3_0,esk4_0)) = first_movers
| esk2_2(esk3_0,esk1_2(esk3_0,esk4_0)) = efficient_producers
| ~ decreases(resources(esk3_0,esk1_2(esk3_0,esk4_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_81]),c_0_61]),c_0_54])]) ).
cnf(c_0_87,negated_conjecture,
( greater(zero,growth_rate(X1,esk1_2(esk3_0,esk4_0)))
| ~ greater(resilience(efficient_producers),resilience(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_61]),c_0_54])]) ).
cnf(c_0_88,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)),
i_0_22 ).
cnf(c_0_89,plain,
( decreases(number_of_organizations(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(zero,growth_rate(esk2_2(X1,X2),X2)) ),
i_0_6 ).
cnf(c_0_90,hypothesis,
( esk2_2(esk3_0,esk1_2(esk3_0,esk4_0)) = efficient_producers
| esk2_2(esk3_0,esk1_2(esk3_0,esk4_0)) = first_movers
| greater(appear(an_organisation,esk3_0),esk1_2(esk3_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_61]),c_0_54])]),c_0_65]),c_0_86]) ).
cnf(c_0_91,hypothesis,
greater(zero,growth_rate(first_movers,esk1_2(esk3_0,esk4_0))),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_92,plain,
( esk2_2(esk3_0,esk1_2(esk3_0,esk4_0)) = efficient_producers
| decreases(number_of_organizations(esk3_0,esk1_2(esk3_0,esk4_0)))
| greater(appear(an_organisation,esk3_0),esk1_2(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_61]),c_0_54]),c_0_91])]) ).
cnf(c_0_93,plain,
( esk2_2(esk3_0,esk1_2(esk3_0,esk4_0)) = efficient_producers
| greater(appear(an_organisation,esk3_0),esk1_2(esk3_0,esk4_0))
| greater(equilibrium(esk3_0),esk1_2(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_80,c_0_92]) ).
cnf(c_0_94,hypothesis,
( esk2_2(esk3_0,esk1_2(esk3_0,esk4_0)) = efficient_producers
| greater(appear(an_organisation,esk3_0),esk1_2(esk3_0,esk4_0))
| ~ decreases(resources(esk3_0,esk1_2(esk3_0,esk4_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_92]),c_0_61]),c_0_54])]) ).
cnf(c_0_95,hypothesis,
( esk2_2(esk3_0,esk1_2(esk3_0,esk4_0)) = efficient_producers
| greater(appear(an_organisation,esk3_0),esk1_2(esk3_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_93]),c_0_61]),c_0_54])]),c_0_65]),c_0_94]) ).
cnf(c_0_96,plain,
( decreases(number_of_organizations(esk3_0,esk1_2(esk3_0,esk4_0)))
| greater(appear(an_organisation,esk3_0),esk1_2(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_95]),c_0_61]),c_0_54]),c_0_79])]) ).
cnf(c_0_97,plain,
( greater(appear(an_organisation,esk3_0),esk1_2(esk3_0,esk4_0))
| greater(equilibrium(esk3_0),esk1_2(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_80,c_0_96]) ).
cnf(c_0_98,hypothesis,
( greater(appear(an_organisation,esk3_0),esk1_2(esk3_0,esk4_0))
| ~ decreases(resources(esk3_0,esk1_2(esk3_0,esk4_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_96]),c_0_61]),c_0_54])]) ).
cnf(c_0_99,plain,
( number_of_organizations(X1,X2) = zero
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(appear(an_organisation,X1),X2) ),
i_0_5 ).
cnf(c_0_100,hypothesis,
greater(appear(an_organisation,esk3_0),esk1_2(esk3_0,esk4_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_97]),c_0_61]),c_0_54])]),c_0_65]),c_0_98]) ).
cnf(c_0_101,plain,
( cardinality_at_time(X1,X2) = zero
| number_of_organizations(X3,X2) != zero
| ~ environment(X3)
| ~ in_environment(X3,X2)
| ~ subpopulation(X1,X3,X2) ),
i_0_9 ).
cnf(c_0_102,plain,
number_of_organizations(esk3_0,esk1_2(esk3_0,esk4_0)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_61]),c_0_54])]) ).
cnf(c_0_103,plain,
( subpopulation(first_movers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
i_0_11 ).
cnf(c_0_104,plain,
( cardinality_at_time(X1,esk1_2(esk3_0,esk4_0)) = zero
| ~ subpopulation(X1,esk3_0,esk1_2(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_61]),c_0_54])]) ).
cnf(c_0_105,plain,
subpopulation(first_movers,esk3_0,esk1_2(esk3_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_61]),c_0_54])]) ).
cnf(c_0_106,plain,
( cardinality_at_time(X1,X2) != zero
| ~ greater(zero,growth_rate(X1,X2)) ),
i_0_12 ).
cnf(c_0_107,plain,
cardinality_at_time(first_movers,esk1_2(esk3_0,esk4_0)) = zero,
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_108,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_91])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT037+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04 % Command : enigmatic-eprover.py %s %d 1
% 0.08/0.34 % Computer : n016.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 7 12:47:34 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.44 # ENIGMATIC: Selected complete mode:
% 11.34/3.66 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.34/3.66 # No SInE strategy applied
% 11.34/3.66 # Trying AutoSched0 for 150 seconds
% 11.34/3.66 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 11.34/3.66 # and selection function SelectNewComplexAHP.
% 11.34/3.66 #
% 11.34/3.66 # Preprocessing time : 0.013 s
% 11.34/3.66 # Presaturation interreduction done
% 11.34/3.66
% 11.34/3.66 # Proof found!
% 11.34/3.66 # SZS status Theorem
% 11.34/3.66 # SZS output start CNFRefutation
% See solution above
% 11.34/3.67 # Training examples: 0 positive, 0 negative
% 11.34/3.67
% 11.34/3.67 # -------------------------------------------------
% 11.34/3.67 # User time : 0.015 s
% 11.34/3.67 # System time : 0.005 s
% 11.34/3.67 # Total time : 0.020 s
% 11.34/3.67 # Maximum resident set size: 3584 pages
% 11.34/3.67
%------------------------------------------------------------------------------