TSTP Solution File: MGT025+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : MGT025+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 : 600s
% DateTime : Sun Jul 17 22:06:19 EDT 2022
% Result : Theorem 7.38s 2.27s
% Output : CNFRefutation 7.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 22
% Syntax : Number of clauses : 108 ( 16 unt; 59 nHn; 108 RR)
% Number of literals : 353 ( 30 equ; 153 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 120 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_19,plain,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_19) ).
cnf(i_0_25,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_25) ).
cnf(i_0_26,negated_conjecture,
environment(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_26) ).
cnf(i_0_5,plain,
( subpopulation(first_movers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_5) ).
cnf(i_0_18,plain,
( greater(cardinality_at_time(first_movers,X1),zero)
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_18) ).
cnf(i_0_9,plain,
( constant(X1)
| increases(X2)
| decreases(X2)
| X3 != sum(X2,X1)
| ~ constant(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_9) ).
cnf(i_0_1,plain,
( number_of_organizations(X1,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| X3 != first_movers
| ~ environment(X1)
| ~ subpopulation(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_1) ).
cnf(i_0_17,plain,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_17) ).
cnf(i_0_8,plain,
( constant(X1)
| increases(X2)
| increases(X1)
| X3 != sum(X2,X1)
| ~ constant(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_8) ).
cnf(i_0_14,plain,
( greater(zero,growth_rate(X1,X2))
| ~ environment(X3)
| ~ in_environment(X3,X2)
| ~ subpopulation(X1,X3,X2)
| ~ decreases(cardinality_at_time(X1,X2))
| ~ greater(cardinality_at_time(X1,X2),zero) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_14) ).
cnf(i_0_24,negated_conjecture,
constant(number_of_organizations(esk1_0,esk2_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_24) ).
cnf(i_0_15,plain,
( greater(growth_rate(X1,X2),zero)
| ~ environment(X3)
| ~ in_environment(X3,X2)
| ~ subpopulation(X1,X3,X2)
| ~ increases(cardinality_at_time(X1,X2))
| ~ greater(cardinality_at_time(X1,X2),zero) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_15) ).
cnf(i_0_4,plain,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_4) ).
cnf(i_0_7,plain,
( constant(X1)
| decreases(X1)
| decreases(X2)
| X3 != sum(X2,X1)
| ~ constant(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_7) ).
cnf(i_0_6,plain,
( constant(X1)
| increases(X1)
| decreases(X1)
| X2 != sum(X3,X1)
| ~ constant(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_6) ).
cnf(i_0_13,plain,
( constant(X1)
| increases(X1)
| decreases(X1)
| X2 != sum(X1,X3)
| ~ constant(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_13) ).
cnf(i_0_12,plain,
( constant(X1)
| increases(X1)
| increases(X2)
| X3 != sum(X1,X2)
| ~ constant(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_12) ).
cnf(i_0_21,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,esk2_0))
| ~ greater(growth_rate(efficient_producers,esk2_0),zero) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_21) ).
cnf(i_0_10,plain,
( constant(X1)
| increases(X2)
| decreases(X2)
| X3 != sum(X1,X2)
| ~ constant(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_10) ).
cnf(i_0_22,negated_conjecture,
( ~ greater(zero,growth_rate(efficient_producers,esk2_0))
| ~ greater(growth_rate(first_movers,esk2_0),zero) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_22) ).
cnf(i_0_16,plain,
( growth_rate(X1,X2) = zero
| ~ environment(X3)
| ~ in_environment(X3,X2)
| ~ subpopulation(X1,X3,X2)
| ~ constant(cardinality_at_time(X1,X2))
| ~ greater(cardinality_at_time(X1,X2),zero) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_16) ).
cnf(i_0_23,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) != zero
| growth_rate(first_movers,esk2_0) != zero ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f2m9kxqs/input.p',i_0_23) ).
cnf(c_0_49,plain,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
i_0_19 ).
cnf(c_0_50,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
i_0_25 ).
cnf(c_0_51,negated_conjecture,
environment(esk1_0),
i_0_26 ).
cnf(c_0_52,plain,
( subpopulation(first_movers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
i_0_5 ).
cnf(c_0_53,negated_conjecture,
in_environment(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).
cnf(c_0_54,plain,
( greater(cardinality_at_time(first_movers,X1),zero)
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
i_0_18 ).
cnf(c_0_55,plain,
( constant(X1)
| increases(X2)
| decreases(X2)
| X3 != sum(X2,X1)
| ~ constant(X3) ),
i_0_9 ).
cnf(c_0_56,plain,
( number_of_organizations(X1,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| X3 != first_movers
| ~ environment(X1)
| ~ subpopulation(X3,X1,X2) ),
i_0_1 ).
cnf(c_0_57,plain,
subpopulation(first_movers,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_51])]) ).
cnf(c_0_58,plain,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
i_0_17 ).
cnf(c_0_59,plain,
( constant(X1)
| increases(X2)
| increases(X1)
| X3 != sum(X2,X1)
| ~ constant(X3) ),
i_0_8 ).
cnf(c_0_60,plain,
( greater(zero,growth_rate(X1,X2))
| ~ environment(X3)
| ~ in_environment(X3,X2)
| ~ subpopulation(X1,X3,X2)
| ~ decreases(cardinality_at_time(X1,X2))
| ~ greater(cardinality_at_time(X1,X2),zero) ),
i_0_14 ).
cnf(c_0_61,negated_conjecture,
greater(cardinality_at_time(first_movers,esk2_0),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_50]),c_0_51])]) ).
cnf(c_0_62,plain,
( decreases(X1)
| increases(X1)
| constant(X2)
| ~ constant(sum(X1,X2)) ),
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_63,plain,
sum(cardinality_at_time(first_movers,esk2_0),cardinality_at_time(efficient_producers,esk2_0)) = number_of_organizations(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_51])]) ).
cnf(c_0_64,negated_conjecture,
constant(number_of_organizations(esk1_0,esk2_0)),
i_0_24 ).
cnf(c_0_65,plain,
( greater(growth_rate(X1,X2),zero)
| ~ environment(X3)
| ~ in_environment(X3,X2)
| ~ subpopulation(X1,X3,X2)
| ~ increases(cardinality_at_time(X1,X2))
| ~ greater(cardinality_at_time(X1,X2),zero) ),
i_0_15 ).
cnf(c_0_66,negated_conjecture,
greater(cardinality_at_time(efficient_producers,esk2_0),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_50]),c_0_51])]) ).
cnf(c_0_67,plain,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
i_0_4 ).
cnf(c_0_68,plain,
( increases(X1)
| increases(X2)
| constant(X2)
| ~ constant(sum(X1,X2)) ),
inference(er,[status(thm)],[c_0_59]) ).
cnf(c_0_69,plain,
( greater(zero,growth_rate(first_movers,esk2_0))
| ~ in_environment(X1,esk2_0)
| ~ decreases(cardinality_at_time(first_movers,esk2_0))
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_52]) ).
cnf(c_0_70,plain,
( decreases(cardinality_at_time(first_movers,esk2_0))
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]) ).
cnf(c_0_71,plain,
( greater(growth_rate(efficient_producers,esk2_0),zero)
| ~ in_environment(X1,esk2_0)
| ~ increases(cardinality_at_time(efficient_producers,esk2_0))
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_72,plain,
( increases(cardinality_at_time(efficient_producers,esk2_0))
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_63]),c_0_64])]) ).
cnf(c_0_73,plain,
( constant(X1)
| decreases(X1)
| decreases(X2)
| X3 != sum(X2,X1)
| ~ constant(X3) ),
i_0_7 ).
cnf(c_0_74,plain,
( greater(zero,growth_rate(first_movers,esk2_0))
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ in_environment(X1,esk2_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_75,plain,
( greater(growth_rate(efficient_producers,esk2_0),zero)
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ in_environment(X1,esk2_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_76,plain,
( constant(X1)
| increases(X1)
| decreases(X1)
| X2 != sum(X3,X1)
| ~ constant(X2) ),
i_0_6 ).
cnf(c_0_77,plain,
( constant(X1)
| increases(X1)
| decreases(X1)
| X2 != sum(X1,X3)
| ~ constant(X2) ),
i_0_13 ).
cnf(c_0_78,plain,
( constant(X1)
| increases(X1)
| increases(X2)
| X3 != sum(X1,X2)
| ~ constant(X3) ),
i_0_12 ).
cnf(c_0_79,plain,
( decreases(X1)
| decreases(X2)
| constant(X2)
| ~ constant(sum(X1,X2)) ),
inference(er,[status(thm)],[c_0_73]) ).
cnf(c_0_80,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,esk2_0))
| ~ greater(growth_rate(efficient_producers,esk2_0),zero) ),
i_0_21 ).
cnf(c_0_81,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk2_0))
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_53]),c_0_51])]) ).
cnf(c_0_82,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_0),zero)
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_53]),c_0_51])]) ).
cnf(c_0_83,plain,
( decreases(X1)
| increases(X1)
| constant(X1)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_76]) ).
cnf(c_0_84,plain,
( decreases(X1)
| increases(X1)
| constant(X1)
| ~ constant(sum(X1,X2)) ),
inference(er,[status(thm)],[c_0_77]) ).
cnf(c_0_85,plain,
( increases(X1)
| increases(X2)
| constant(X2)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_78]) ).
cnf(c_0_86,plain,
( greater(zero,growth_rate(efficient_producers,esk2_0))
| ~ in_environment(X1,esk2_0)
| ~ decreases(cardinality_at_time(efficient_producers,esk2_0))
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_66]),c_0_67]) ).
cnf(c_0_87,plain,
( decreases(cardinality_at_time(efficient_producers,esk2_0))
| decreases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_63]),c_0_64])]) ).
cnf(c_0_88,plain,
( greater(growth_rate(first_movers,esk2_0),zero)
| ~ in_environment(X1,esk2_0)
| ~ increases(cardinality_at_time(first_movers,esk2_0))
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_61]),c_0_52]) ).
cnf(c_0_89,negated_conjecture,
( increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_90,plain,
( decreases(cardinality_at_time(efficient_producers,esk2_0))
| increases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_63]),c_0_64])]) ).
cnf(c_0_91,plain,
( constant(X1)
| increases(X2)
| decreases(X2)
| X3 != sum(X1,X2)
| ~ constant(X3) ),
i_0_10 ).
cnf(c_0_92,plain,
( decreases(cardinality_at_time(first_movers,esk2_0))
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_63]),c_0_64])]) ).
cnf(c_0_93,plain,
( increases(cardinality_at_time(first_movers,esk2_0))
| increases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_63]),c_0_64])]) ).
cnf(c_0_94,plain,
( greater(zero,growth_rate(efficient_producers,esk2_0))
| decreases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ in_environment(X1,esk2_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_95,plain,
( greater(growth_rate(first_movers,esk2_0),zero)
| constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ in_environment(X1,esk2_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_96,plain,
( greater(zero,growth_rate(efficient_producers,esk2_0))
| increases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ in_environment(X1,esk2_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_90]) ).
cnf(c_0_97,plain,
( decreases(X1)
| increases(X1)
| constant(X2)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_91]) ).
cnf(c_0_98,plain,
( greater(zero,growth_rate(first_movers,esk2_0))
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0))
| ~ in_environment(X1,esk2_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_92]) ).
cnf(c_0_99,plain,
( greater(growth_rate(efficient_producers,esk2_0),zero)
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0))
| ~ in_environment(X1,esk2_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_93]) ).
cnf(c_0_100,negated_conjecture,
( ~ greater(zero,growth_rate(efficient_producers,esk2_0))
| ~ greater(growth_rate(first_movers,esk2_0),zero) ),
i_0_22 ).
cnf(c_0_101,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,esk2_0))
| decreases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_53]),c_0_51])]) ).
cnf(c_0_102,negated_conjecture,
( greater(growth_rate(first_movers,esk2_0),zero)
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_53]),c_0_51])]) ).
cnf(c_0_103,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,esk2_0))
| increases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_53]),c_0_51])]) ).
cnf(c_0_104,plain,
( decreases(cardinality_at_time(efficient_producers,esk2_0))
| increases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_63]),c_0_64])]) ).
cnf(c_0_105,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk2_0))
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_53]),c_0_51])]) ).
cnf(c_0_106,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_0),zero)
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_53]),c_0_51])]) ).
cnf(c_0_107,negated_conjecture,
( decreases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).
cnf(c_0_108,negated_conjecture,
( increases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_103]),c_0_102]) ).
cnf(c_0_109,plain,
( greater(zero,growth_rate(efficient_producers,esk2_0))
| increases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0))
| ~ in_environment(X1,esk2_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_104]) ).
cnf(c_0_110,negated_conjecture,
( increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_105]),c_0_106]) ).
cnf(c_0_111,plain,
( greater(zero,growth_rate(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ in_environment(X1,esk2_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_107]) ).
cnf(c_0_112,plain,
( greater(growth_rate(efficient_producers,esk2_0),zero)
| constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ in_environment(X1,esk2_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_108]) ).
cnf(c_0_113,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,esk2_0))
| increases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_53]),c_0_51])]) ).
cnf(c_0_114,plain,
( greater(growth_rate(first_movers,esk2_0),zero)
| constant(cardinality_at_time(first_movers,esk2_0))
| ~ in_environment(X1,esk2_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_110]) ).
cnf(c_0_115,plain,
( growth_rate(X1,X2) = zero
| ~ environment(X3)
| ~ in_environment(X3,X2)
| ~ subpopulation(X1,X3,X2)
| ~ constant(cardinality_at_time(X1,X2))
| ~ greater(cardinality_at_time(X1,X2),zero) ),
i_0_16 ).
cnf(c_0_116,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_53]),c_0_51])]) ).
cnf(c_0_117,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_0),zero)
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_53]),c_0_51])]) ).
cnf(c_0_118,negated_conjecture,
( increases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0))
| ~ greater(growth_rate(first_movers,esk2_0),zero) ),
inference(spm,[status(thm)],[c_0_100,c_0_113]) ).
cnf(c_0_119,negated_conjecture,
( greater(growth_rate(first_movers,esk2_0),zero)
| constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_53]),c_0_51])]) ).
cnf(c_0_120,plain,
( growth_rate(efficient_producers,esk2_0) = zero
| ~ in_environment(X1,esk2_0)
| ~ constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_66]),c_0_67]) ).
cnf(c_0_121,negated_conjecture,
constant(cardinality_at_time(efficient_producers,esk2_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_116]),c_0_117]) ).
cnf(c_0_122,negated_conjecture,
( increases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_123,plain,
( growth_rate(efficient_producers,esk2_0) = zero
| ~ in_environment(X1,esk2_0)
| ~ environment(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_121])]) ).
cnf(c_0_124,plain,
( greater(growth_rate(efficient_producers,esk2_0),zero)
| constant(cardinality_at_time(first_movers,esk2_0))
| ~ in_environment(X1,esk2_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_122]) ).
cnf(c_0_125,negated_conjecture,
growth_rate(efficient_producers,esk2_0) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_53]),c_0_51])]) ).
cnf(c_0_126,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_0),zero)
| constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_53]),c_0_51])]) ).
cnf(c_0_127,negated_conjecture,
( ~ greater(growth_rate(first_movers,esk2_0),zero)
| ~ greater(zero,zero) ),
inference(rw,[status(thm)],[c_0_100,c_0_125]) ).
cnf(c_0_128,negated_conjecture,
( greater(zero,zero)
| constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(rw,[status(thm)],[c_0_126,c_0_125]) ).
cnf(c_0_129,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) != zero
| growth_rate(first_movers,esk2_0) != zero ),
i_0_23 ).
cnf(c_0_130,plain,
( growth_rate(first_movers,esk2_0) = zero
| ~ in_environment(X1,esk2_0)
| ~ constant(cardinality_at_time(first_movers,esk2_0))
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_61]),c_0_52]) ).
cnf(c_0_131,negated_conjecture,
constant(cardinality_at_time(first_movers,esk2_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_119]) ).
cnf(c_0_132,negated_conjecture,
growth_rate(first_movers,esk2_0) != zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_125])]) ).
cnf(c_0_133,plain,
( ~ in_environment(X1,esk2_0)
| ~ environment(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131])]),c_0_132]) ).
cnf(c_0_134,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_53]),c_0_51])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : MGT025+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Thu Jun 9 08:53:36 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.43 # ENIGMATIC: Selected complete mode:
% 7.38/2.27 # ENIGMATIC: Solved by autoschedule:
% 7.38/2.27 # No SInE strategy applied
% 7.38/2.27 # Trying AutoSched0 for 150 seconds
% 7.38/2.27 # AutoSched0-Mode selected heuristic G_E___200_C45_F1_AE_CS_SP_PI_S0S
% 7.38/2.27 # and selection function SelectComplexG.
% 7.38/2.27 #
% 7.38/2.27 # Preprocessing time : 0.023 s
% 7.38/2.27
% 7.38/2.27 # Proof found!
% 7.38/2.27 # SZS status Theorem
% 7.38/2.27 # SZS output start CNFRefutation
% See solution above
% 7.38/2.27 # Training examples: 0 positive, 0 negative
% 7.38/2.27
% 7.38/2.27 # -------------------------------------------------
% 7.38/2.27 # User time : 0.029 s
% 7.38/2.27 # System time : 0.006 s
% 7.38/2.27 # Total time : 0.035 s
% 7.38/2.27 # Maximum resident set size: 7116 pages
% 7.38/2.27
%------------------------------------------------------------------------------