TSTP Solution File: MGT039+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : MGT039+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 22:06:46 EDT 2022
% Result : Theorem 7.03s 2.12s
% Output : CNFRefutation 7.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 26
% Syntax : Number of clauses : 105 ( 24 unt; 26 nHn; 104 RR)
% Number of literals : 326 ( 29 equ; 197 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 132 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_22,plain,
( X1 = X2
| greater(X1,X2)
| ~ greater_or_equal(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_22) ).
cnf(i_0_17,plain,
( greater_or_equal(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_17) ).
cnf(i_0_18,plain,
( greater(X1,X2)
| ~ greater(X3,X2)
| ~ greater(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_18) ).
cnf(i_0_7,plain,
( in_environment(X1,esk2_2(X2,X1))
| ~ environment(X1)
| ~ observational_period(X2)
| ~ slow_change(X2)
| ~ in_environment(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_7) ).
cnf(i_0_27,negated_conjecture,
slow_change(esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_27) ).
cnf(i_0_28,negated_conjecture,
observational_period(esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_28) ).
cnf(i_0_6,plain,
( greater(esk2_2(X1,X2),critical_point(X2))
| ~ environment(X2)
| ~ observational_period(X1)
| ~ slow_change(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_6) ).
cnf(i_0_11,plain,
( greater_or_equal(end_time(X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_11) ).
cnf(i_0_4,plain,
( in_environment(X1,esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_4) ).
cnf(i_0_8,plain,
propagation_strategy(first_movers),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_8) ).
cnf(i_0_9,plain,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_9) ).
cnf(i_0_5,plain,
( environment(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_5) ).
cnf(i_0_26,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_26) ).
cnf(i_0_10,plain,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ greater_or_equal(X2,start_time(X1))
| ~ greater_or_equal(end_time(X1),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_10) ).
cnf(i_0_16,plain,
( greater_or_equal(critical_point(X1),appear(efficient_producers,X1))
| ~ environment(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_16) ).
cnf(i_0_21,plain,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_21) ).
cnf(i_0_20,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_20) ).
cnf(i_0_25,hypothesis,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X2)
| ~ in_environment(X2,X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_25) ).
cnf(i_0_23,hypothesis,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| X2 != critical_point(X3)
| ~ environment(X3)
| ~ greater(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_23) ).
cnf(i_0_2,plain,
( selection_favors(X1,X2,X3)
| cardinality_at_time(X2,X3) != zero
| ~ environment(X4)
| ~ subpopulation(X2,X4,X3)
| ~ subpopulation(X1,X4,X3)
| ~ greater(cardinality_at_time(X1,X3),zero) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_2) ).
cnf(i_0_15,plain,
( subpopulation(first_movers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_15) ).
cnf(i_0_3,plain,
( selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| ~ selection_favors(efficient_producers,first_movers,end_time(esk1_1(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_3) ).
cnf(i_0_12,plain,
( subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(cardinality_at_time(first_movers,X2),zero)
| ~ greater(cardinality_at_time(efficient_producers,X2),zero) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_12) ).
cnf(i_0_14,plain,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_14) ).
cnf(i_0_13,plain,
( greater_or_equal(cardinality_at_time(first_movers,X1),zero)
| ~ environment(X2)
| ~ in_environment(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_13) ).
cnf(i_0_1,plain,
( selection_favors(X1,X2,X3)
| ~ environment(X4)
| ~ subpopulations(X2,X1,X4,X3)
| ~ greater(growth_rate(X1,X3),growth_rate(X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xfmtsprp/input.p',i_0_1) ).
cnf(c_0_55,plain,
( X1 = X2
| greater(X1,X2)
| ~ greater_or_equal(X1,X2) ),
i_0_22 ).
cnf(c_0_56,plain,
( greater_or_equal(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
i_0_17 ).
cnf(c_0_57,plain,
( greater(X1,X2)
| ~ greater(X3,X2)
| ~ greater(X1,X3) ),
i_0_18 ).
cnf(c_0_58,plain,
( start_time(X1) = critical_point(X1)
| greater(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,plain,
( in_environment(X1,esk2_2(X2,X1))
| ~ environment(X1)
| ~ observational_period(X2)
| ~ slow_change(X2)
| ~ in_environment(X2,X1) ),
i_0_7 ).
cnf(c_0_60,negated_conjecture,
slow_change(esk3_0),
i_0_27 ).
cnf(c_0_61,negated_conjecture,
observational_period(esk3_0),
i_0_28 ).
cnf(c_0_62,plain,
( start_time(X1) = critical_point(X1)
| greater(X2,start_time(X1))
| ~ greater(X2,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_63,plain,
( greater(esk2_2(X1,X2),critical_point(X2))
| ~ environment(X2)
| ~ observational_period(X1)
| ~ slow_change(X1)
| ~ in_environment(X1,X2) ),
i_0_6 ).
cnf(c_0_64,plain,
( greater_or_equal(end_time(X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
i_0_11 ).
cnf(c_0_65,negated_conjecture,
( in_environment(X1,esk2_2(esk3_0,X1))
| ~ in_environment(esk3_0,X1)
| ~ environment(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).
cnf(c_0_66,plain,
( start_time(X1) = critical_point(X1)
| greater(X2,start_time(X1))
| ~ greater(X3,critical_point(X1))
| ~ greater(X2,X3)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_62]) ).
cnf(c_0_67,negated_conjecture,
( greater(esk2_2(esk3_0,X1),critical_point(X1))
| ~ in_environment(esk3_0,X1)
| ~ environment(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_60]),c_0_61])]) ).
cnf(c_0_68,plain,
( greater_or_equal(end_time(X1),esk2_2(esk3_0,X1))
| ~ in_environment(esk3_0,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,negated_conjecture,
( start_time(X1) = critical_point(X1)
| greater(X2,start_time(X1))
| ~ in_environment(esk3_0,X1)
| ~ greater(X2,esk2_2(esk3_0,X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_70,plain,
( esk2_2(esk3_0,X1) = end_time(X1)
| greater(end_time(X1),esk2_2(esk3_0,X1))
| ~ in_environment(esk3_0,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_68]) ).
cnf(c_0_71,plain,
( in_environment(X1,esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
i_0_4 ).
cnf(c_0_72,plain,
propagation_strategy(first_movers),
i_0_8 ).
cnf(c_0_73,plain,
propagation_strategy(efficient_producers),
i_0_9 ).
cnf(c_0_74,plain,
( environment(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
i_0_5 ).
cnf(c_0_75,plain,
( greater(X1,critical_point(X2))
| ~ in_environment(esk3_0,X2)
| ~ greater(X1,esk2_2(esk3_0,X2))
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_67]) ).
cnf(c_0_76,plain,
( esk2_2(esk3_0,X1) = end_time(X1)
| start_time(X1) = critical_point(X1)
| greater(end_time(X1),start_time(X1))
| ~ in_environment(esk3_0,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_77,plain,
( in_environment(X1,esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72]),c_0_73])]) ).
cnf(c_0_78,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,esk3_0),
i_0_26 ).
cnf(c_0_79,plain,
( environment(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_72]),c_0_73])]) ).
cnf(c_0_80,plain,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ greater_or_equal(X2,start_time(X1))
| ~ greater_or_equal(end_time(X1),X2) ),
i_0_10 ).
cnf(c_0_81,plain,
( esk2_2(esk3_0,X1) = end_time(X1)
| greater(end_time(X1),critical_point(X1))
| ~ in_environment(esk3_0,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_70]) ).
cnf(c_0_82,plain,
( greater_or_equal(critical_point(X1),appear(efficient_producers,X1))
| ~ environment(X1) ),
i_0_16 ).
cnf(c_0_83,plain,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
i_0_21 ).
cnf(c_0_84,negated_conjecture,
( start_time(X1) = critical_point(X1)
| in_environment(X1,end_time(X1))
| greater(end_time(X1),start_time(X1))
| ~ in_environment(esk3_0,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_76]) ).
cnf(c_0_85,negated_conjecture,
in_environment(esk3_0,esk1_1(esk3_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_61]),c_0_78]) ).
cnf(c_0_86,negated_conjecture,
environment(esk1_1(esk3_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_61]),c_0_78]) ).
cnf(c_0_87,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
i_0_20 ).
cnf(c_0_88,plain,
( in_environment(X1,critical_point(X1))
| ~ environment(X1)
| ~ greater_or_equal(end_time(X1),critical_point(X1)) ),
inference(spm,[status(thm)],[c_0_80,c_0_56]) ).
cnf(c_0_89,negated_conjecture,
( greater(end_time(X1),critical_point(X1))
| ~ in_environment(esk3_0,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_81]) ).
cnf(c_0_90,hypothesis,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X2)
| ~ in_environment(X2,X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X2)) ),
i_0_25 ).
cnf(c_0_91,plain,
( appear(efficient_producers,X1) = critical_point(X1)
| greater(critical_point(X1),appear(efficient_producers,X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_82]) ).
cnf(c_0_92,plain,
( in_environment(X1,X2)
| ~ greater(X2,start_time(X1))
| ~ environment(X1)
| ~ greater_or_equal(end_time(X1),X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_83]) ).
cnf(c_0_93,negated_conjecture,
( start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
| in_environment(esk1_1(esk3_0),end_time(esk1_1(esk3_0)))
| greater(end_time(esk1_1(esk3_0)),start_time(esk1_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]) ).
cnf(c_0_94,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_87]) ).
cnf(c_0_95,plain,
( in_environment(X1,critical_point(X1))
| ~ greater(end_time(X1),critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_83]) ).
cnf(c_0_96,negated_conjecture,
greater(end_time(esk1_1(esk3_0)),critical_point(esk1_1(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_85]),c_0_86])]) ).
cnf(c_0_97,plain,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X2,X1)
| ~ greater(X1,appear(efficient_producers,X2))
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_83]) ).
cnf(c_0_98,plain,
( appear(efficient_producers,X1) = critical_point(X1)
| greater(X2,appear(efficient_producers,X1))
| ~ greater(X2,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_91]) ).
cnf(c_0_99,plain,
( start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
| in_environment(esk1_1(esk3_0),end_time(esk1_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_86]),c_0_94])]) ).
cnf(c_0_100,plain,
in_environment(esk1_1(esk3_0),critical_point(esk1_1(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_86])]) ).
cnf(c_0_101,plain,
( appear(efficient_producers,X1) = critical_point(X1)
| greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ in_environment(X1,X2)
| ~ greater(X2,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_102,plain,
( in_environment(esk1_1(esk3_0),end_time(esk1_1(esk3_0)))
| in_environment(esk1_1(esk3_0),X1)
| ~ greater_or_equal(X1,critical_point(esk1_1(esk3_0)))
| ~ greater_or_equal(end_time(esk1_1(esk3_0)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_99]),c_0_86])]) ).
cnf(c_0_103,plain,
greater_or_equal(end_time(esk1_1(esk3_0)),critical_point(esk1_1(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_100]),c_0_86])]) ).
cnf(c_0_104,hypothesis,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| X2 != critical_point(X3)
| ~ environment(X3)
| ~ greater(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X3,X1) ),
i_0_23 ).
cnf(c_0_105,plain,
( selection_favors(X1,X2,X3)
| cardinality_at_time(X2,X3) != zero
| ~ environment(X4)
| ~ subpopulation(X2,X4,X3)
| ~ subpopulation(X1,X4,X3)
| ~ greater(cardinality_at_time(X1,X3),zero) ),
i_0_2 ).
cnf(c_0_106,plain,
( subpopulation(first_movers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
i_0_15 ).
cnf(c_0_107,plain,
( selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| ~ selection_favors(efficient_producers,first_movers,end_time(esk1_1(X1))) ),
i_0_3 ).
cnf(c_0_108,negated_conjecture,
( appear(efficient_producers,esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
| greater(cardinality_at_time(efficient_producers,end_time(esk1_1(esk3_0))),zero)
| ~ in_environment(esk1_1(esk3_0),end_time(esk1_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_96]),c_0_86])]) ).
cnf(c_0_109,plain,
in_environment(esk1_1(esk3_0),end_time(esk1_1(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_94])]) ).
cnf(c_0_110,hypothesis,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ greater(X1,critical_point(X2))
| ~ environment(X2) ),
inference(er,[status(thm)],[c_0_104]) ).
cnf(c_0_111,plain,
( subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(cardinality_at_time(first_movers,X2),zero)
| ~ greater(cardinality_at_time(efficient_producers,X2),zero) ),
i_0_12 ).
cnf(c_0_112,plain,
( selection_favors(X1,first_movers,X2)
| cardinality_at_time(first_movers,X2) != zero
| ~ subpopulation(X1,X3,X2)
| ~ in_environment(X3,X2)
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ environment(X3) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_113,plain,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
i_0_14 ).
cnf(c_0_114,plain,
( selection_favors(efficient_producers,first_movers,X1)
| ~ selection_favors(efficient_producers,first_movers,end_time(esk1_1(X1)))
| ~ observational_period(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_72]),c_0_73])]) ).
cnf(c_0_115,negated_conjecture,
( appear(efficient_producers,esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
| greater(cardinality_at_time(efficient_producers,end_time(esk1_1(esk3_0))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_109])]) ).
cnf(c_0_116,hypothesis,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X2,X1)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(X1,critical_point(X2))
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_117,plain,
( greater_or_equal(cardinality_at_time(first_movers,X1),zero)
| ~ environment(X2)
| ~ in_environment(X2,X1) ),
i_0_13 ).
cnf(c_0_118,plain,
( selection_favors(efficient_producers,first_movers,X1)
| cardinality_at_time(first_movers,X1) != zero
| ~ in_environment(X2,X1)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_119,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,end_time(esk1_1(esk3_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_61]),c_0_78]) ).
cnf(c_0_120,hypothesis,
( greater(cardinality_at_time(efficient_producers,end_time(esk1_1(esk3_0))),zero)
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(esk1_1(esk3_0),X1)
| ~ greater_or_equal(X1,critical_point(esk1_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_115]),c_0_86])]) ).
cnf(c_0_121,hypothesis,
( greater(growth_rate(efficient_producers,end_time(esk1_1(esk3_0))),growth_rate(first_movers,end_time(esk1_1(esk3_0))))
| ~ in_environment(esk1_1(esk3_0),end_time(esk1_1(esk3_0)))
| ~ greater(cardinality_at_time(first_movers,end_time(esk1_1(esk3_0))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(esk3_0))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_96]),c_0_86])]) ).
cnf(c_0_122,plain,
greater_or_equal(cardinality_at_time(first_movers,end_time(esk1_1(esk3_0))),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_109]),c_0_86])]) ).
cnf(c_0_123,plain,
( cardinality_at_time(first_movers,end_time(esk1_1(esk3_0))) != zero
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(esk3_0))),zero) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_109]),c_0_86])]),c_0_119]) ).
cnf(c_0_124,plain,
greater(cardinality_at_time(efficient_producers,end_time(esk1_1(esk3_0))),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_103]),c_0_109])]) ).
cnf(c_0_125,hypothesis,
( greater(growth_rate(efficient_producers,end_time(esk1_1(esk3_0))),growth_rate(first_movers,end_time(esk1_1(esk3_0))))
| ~ greater(cardinality_at_time(first_movers,end_time(esk1_1(esk3_0))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(esk3_0))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_109])]) ).
cnf(c_0_126,plain,
( cardinality_at_time(first_movers,end_time(esk1_1(esk3_0))) = zero
| greater(cardinality_at_time(first_movers,end_time(esk1_1(esk3_0))),zero) ),
inference(spm,[status(thm)],[c_0_55,c_0_122]) ).
cnf(c_0_127,plain,
cardinality_at_time(first_movers,end_time(esk1_1(esk3_0))) != zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124])]) ).
cnf(c_0_128,plain,
( selection_favors(X1,X2,X3)
| ~ environment(X4)
| ~ subpopulations(X2,X1,X4,X3)
| ~ greater(growth_rate(X1,X3),growth_rate(X2,X3)) ),
i_0_1 ).
cnf(c_0_129,hypothesis,
( greater(growth_rate(efficient_producers,end_time(esk1_1(esk3_0))),growth_rate(first_movers,end_time(esk1_1(esk3_0))))
| ~ greater(cardinality_at_time(first_movers,end_time(esk1_1(esk3_0))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_124])]) ).
cnf(c_0_130,plain,
greater(cardinality_at_time(first_movers,end_time(esk1_1(esk3_0))),zero),
inference(sr,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_131,plain,
( selection_favors(efficient_producers,first_movers,X1)
| ~ in_environment(X2,X1)
| ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_128,c_0_111]) ).
cnf(c_0_132,hypothesis,
greater(growth_rate(efficient_producers,end_time(esk1_1(esk3_0))),growth_rate(first_movers,end_time(esk1_1(esk3_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_130])]) ).
cnf(c_0_133,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_109]),c_0_86])]),c_0_119]),c_0_132]),c_0_130]),c_0_124])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : MGT039+2 : TPTP v8.1.0. Released v2.0.0.
% 0.05/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Thu Jun 9 12:06:24 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.14/0.37 # ENIGMATIC: Selected complete mode:
% 7.03/2.12 # ENIGMATIC: Solved by autoschedule:
% 7.03/2.12 # No SInE strategy applied
% 7.03/2.12 # Trying AutoSched0 for 150 seconds
% 7.03/2.12 # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y
% 7.03/2.12 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.03/2.12 #
% 7.03/2.12 # Preprocessing time : 0.019 s
% 7.03/2.12 # Presaturation interreduction done
% 7.03/2.12
% 7.03/2.12 # Proof found!
% 7.03/2.12 # SZS status Theorem
% 7.03/2.12 # SZS output start CNFRefutation
% See solution above
% 7.03/2.12 # Training examples: 0 positive, 0 negative
% 7.03/2.12
% 7.03/2.12 # -------------------------------------------------
% 7.03/2.12 # User time : 0.030 s
% 7.03/2.12 # System time : 0.004 s
% 7.03/2.12 # Total time : 0.034 s
% 7.03/2.12 # Maximum resident set size: 7124 pages
% 7.03/2.12
%------------------------------------------------------------------------------