TSTP Solution File: MGT035+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : MGT035+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.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 22:06:43 EDT 2022
% Result : Theorem 9.04s 2.63s
% Output : CNFRefutation 9.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 32
% Syntax : Number of clauses : 148 ( 16 unt; 34 nHn; 147 RR)
% Number of literals : 446 ( 35 equ; 271 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 198 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_1) ).
cnf(i_0_43,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk3_0,esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_43) ).
cnf(i_0_45,negated_conjecture,
environment(esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_45) ).
cnf(i_0_39,hypothesis,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X2)
| ~ stable(X2)
| ~ greater_or_equal(X1,esk2_1(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_39) ).
cnf(i_0_44,negated_conjecture,
stable(esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_44) ).
cnf(i_0_40,hypothesis,
( in_environment(X1,esk2_1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_40) ).
cnf(i_0_2,plain,
( greater(number_of_organizations(X1,X2),zero)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_2) ).
cnf(i_0_7,plain,
( subpopulation(first_movers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_7) ).
cnf(i_0_20,plain,
( greater(cardinality_at_time(first_movers,X1),zero)
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_20) ).
cnf(i_0_31,hypothesis,
( outcompetes(X1,X2,X3)
| ~ environment(X4)
| ~ subpopulations(X2,X1,X4,X3)
| ~ greater(zero,growth_rate(X2,X3))
| ~ greater_or_equal(growth_rate(X1,X3),zero) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_31) ).
cnf(i_0_41,negated_conjecture,
( ~ in_environment(esk3_0,X1)
| ~ outcompetes(efficient_producers,first_movers,esk4_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_41) ).
cnf(i_0_6,plain,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_6) ).
cnf(i_0_19,plain,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_19) ).
cnf(i_0_42,negated_conjecture,
( greater_or_equal(esk4_1(X1),X1)
| ~ in_environment(esk3_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_42) ).
cnf(i_0_36,hypothesis,
( constant(number_of_organizations(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ constant(resources(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_36) ).
cnf(i_0_32,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/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_32) ).
cnf(i_0_3,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/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_3) ).
cnf(i_0_17,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/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_17) ).
cnf(i_0_26,plain,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_26) ).
cnf(i_0_23,plain,
( greater(X1,X2)
| ~ greater(X3,X2)
| ~ greater(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_23) ).
cnf(i_0_16,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/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_16) ).
cnf(i_0_18,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/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_18) ).
cnf(i_0_25,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_25) ).
cnf(i_0_10,plain,
( constant(X1)
| increases(X2)
| increases(X1)
| X3 != sum(X2,X1)
| ~ constant(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_10) ).
cnf(i_0_21,plain,
( X1 != X2
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_21) ).
cnf(i_0_11,plain,
( constant(X1)
| increases(X2)
| decreases(X2)
| X3 != sum(X2,X1)
| ~ constant(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_11) ).
cnf(i_0_9,plain,
( constant(X1)
| decreases(X1)
| decreases(X2)
| X3 != sum(X2,X1)
| ~ constant(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_9) ).
cnf(i_0_22,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_22) ).
cnf(i_0_27,plain,
( X1 = X2
| greater(X1,X2)
| ~ greater_or_equal(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_27) ).
cnf(i_0_13,plain,
( constant(X1)
| decreases(X2)
| decreases(X1)
| X3 != sum(X1,X2)
| ~ constant(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_13) ).
cnf(i_0_34,hypothesis,
( greater_or_equal(esk1_1(X1),equilibrium(X1))
| ~ environment(X1)
| ~ stable(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_34) ).
cnf(i_0_35,hypothesis,
( in_environment(X1,esk1_1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s86n516i/lgb.p',i_0_35) ).
cnf(c_0_78,plain,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
i_0_1 ).
cnf(c_0_79,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk3_0,esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
i_0_43 ).
cnf(c_0_80,negated_conjecture,
environment(esk3_0),
i_0_45 ).
cnf(c_0_81,hypothesis,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X2)
| ~ stable(X2)
| ~ greater_or_equal(X1,esk2_1(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
i_0_39 ).
cnf(c_0_82,negated_conjecture,
stable(esk3_0),
i_0_44 ).
cnf(c_0_83,hypothesis,
( in_environment(X1,esk2_1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
i_0_40 ).
cnf(c_0_84,plain,
( greater(number_of_organizations(X1,X2),zero)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
i_0_2 ).
cnf(c_0_85,plain,
( subpopulation(first_movers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
i_0_7 ).
cnf(c_0_86,negated_conjecture,
( in_environment(esk3_0,esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80])]) ).
cnf(c_0_87,plain,
( greater(cardinality_at_time(first_movers,X1),zero)
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
i_0_20 ).
cnf(c_0_88,hypothesis,
( outcompetes(X1,X2,X3)
| ~ environment(X4)
| ~ subpopulations(X2,X1,X4,X3)
| ~ greater(zero,growth_rate(X2,X3))
| ~ greater_or_equal(growth_rate(X1,X3),zero) ),
i_0_31 ).
cnf(c_0_89,negated_conjecture,
( ~ in_environment(esk3_0,X1)
| ~ outcompetes(efficient_producers,first_movers,esk4_1(X1)) ),
i_0_41 ).
cnf(c_0_90,plain,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
i_0_6 ).
cnf(c_0_91,plain,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
i_0_19 ).
cnf(c_0_92,negated_conjecture,
( greater(growth_rate(efficient_producers,esk4_1(X1)),growth_rate(first_movers,esk4_1(X1)))
| ~ greater_or_equal(esk4_1(X1),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_79]),c_0_82]),c_0_80])]) ).
cnf(c_0_93,negated_conjecture,
( greater_or_equal(esk4_1(X1),X1)
| ~ in_environment(esk3_0,X1) ),
i_0_42 ).
cnf(c_0_94,negated_conjecture,
in_environment(esk3_0,esk2_1(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_82]),c_0_80])]) ).
cnf(c_0_95,hypothesis,
( constant(number_of_organizations(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ constant(resources(X1,X2)) ),
i_0_36 ).
cnf(c_0_96,hypothesis,
( constant(resources(X1,X2))
| greater(equilibrium(X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(number_of_organizations(X1,X2),zero) ),
i_0_32 ).
cnf(c_0_97,negated_conjecture,
( greater(number_of_organizations(esk3_0,esk4_1(X1)),zero)
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_79]),c_0_80])]) ).
cnf(c_0_98,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_3 ).
cnf(c_0_99,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_17 ).
cnf(c_0_100,plain,
( subpopulation(first_movers,esk3_0,esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_80])]) ).
cnf(c_0_101,negated_conjecture,
( greater(cardinality_at_time(first_movers,esk4_1(X1)),zero)
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_79]),c_0_80])]) ).
cnf(c_0_102,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,esk4_1(X1)))
| ~ greater_or_equal(growth_rate(efficient_producers,esk4_1(X1)),zero)
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_79]),c_0_80])]),c_0_89]) ).
cnf(c_0_103,plain,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
i_0_26 ).
cnf(c_0_104,plain,
( subpopulation(efficient_producers,esk3_0,esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_86]),c_0_80])]) ).
cnf(c_0_105,negated_conjecture,
( greater(cardinality_at_time(efficient_producers,esk4_1(X1)),zero)
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_79]),c_0_80])]) ).
cnf(c_0_106,plain,
( greater(X1,X2)
| ~ greater(X3,X2)
| ~ greater(X1,X3) ),
i_0_23 ).
cnf(c_0_107,negated_conjecture,
greater(growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))),growth_rate(first_movers,esk4_1(esk2_1(esk3_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94])]) ).
cnf(c_0_108,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_16 ).
cnf(c_0_109,hypothesis,
( constant(number_of_organizations(esk3_0,esk4_1(X1)))
| ~ constant(resources(esk3_0,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_86]),c_0_80])]) ).
cnf(c_0_110,hypothesis,
( constant(resources(esk3_0,esk4_1(X1)))
| greater(equilibrium(esk3_0),esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_86]),c_0_80])]),c_0_97]) ).
cnf(c_0_111,plain,
( number_of_organizations(X1,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| ~ subpopulation(first_movers,X1,X2)
| ~ environment(X1) ),
inference(er,[status(thm)],[c_0_98]) ).
cnf(c_0_112,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_18 ).
cnf(c_0_113,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
i_0_25 ).
cnf(c_0_114,plain,
( greater(growth_rate(first_movers,esk4_1(X1)),zero)
| ~ increases(cardinality_at_time(first_movers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_80])]),c_0_86]),c_0_101]) ).
cnf(c_0_115,plain,
( ~ greater(zero,growth_rate(first_movers,esk4_1(X1)))
| ~ greater(growth_rate(efficient_producers,esk4_1(X1)),zero)
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_116,plain,
( greater(growth_rate(efficient_producers,esk4_1(X1)),zero)
| ~ increases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_104]),c_0_80])]),c_0_86]),c_0_105]) ).
cnf(c_0_117,plain,
( greater(X1,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| ~ greater(X1,growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0)))) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_118,plain,
( greater(zero,growth_rate(efficient_producers,esk4_1(X1)))
| ~ decreases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_104]),c_0_80])]),c_0_86]),c_0_105]) ).
cnf(c_0_119,plain,
( constant(X1)
| increases(X2)
| increases(X1)
| X3 != sum(X2,X1)
| ~ constant(X3) ),
i_0_10 ).
cnf(c_0_120,hypothesis,
( constant(number_of_organizations(esk3_0,esk4_1(X1)))
| greater(equilibrium(esk3_0),esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_121,plain,
( number_of_organizations(esk3_0,esk4_1(X1)) = sum(cardinality_at_time(first_movers,esk4_1(X1)),cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_100]),c_0_80])]) ).
cnf(c_0_122,plain,
( growth_rate(efficient_producers,esk4_1(X1)) = zero
| ~ constant(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_104]),c_0_80])]),c_0_86]),c_0_105]) ).
cnf(c_0_123,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_113]) ).
cnf(c_0_124,plain,
( X1 != X2
| ~ greater(X1,X2) ),
i_0_21 ).
cnf(c_0_125,plain,
( greater(X1,zero)
| ~ increases(cardinality_at_time(first_movers,esk4_1(X2)))
| ~ greater(X1,growth_rate(first_movers,esk4_1(X2)))
| ~ in_environment(esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_106,c_0_114]) ).
cnf(c_0_126,plain,
( constant(X1)
| increases(X2)
| decreases(X2)
| X3 != sum(X2,X1)
| ~ constant(X3) ),
i_0_11 ).
cnf(c_0_127,plain,
( ~ increases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ greater(zero,growth_rate(first_movers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_128,plain,
( greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| ~ decreases(cardinality_at_time(efficient_producers,esk4_1(esk2_1(esk3_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_94])]) ).
cnf(c_0_129,plain,
( constant(X1)
| increases(X2)
| increases(X1)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_119]) ).
cnf(c_0_130,plain,
( constant(sum(cardinality_at_time(first_movers,esk4_1(X1)),cardinality_at_time(efficient_producers,esk4_1(X1))))
| greater(equilibrium(esk3_0),esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_131,negated_conjecture,
( ~ constant(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ greater(zero,growth_rate(first_movers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_122]),c_0_123])]) ).
cnf(c_0_132,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| ~ constant(cardinality_at_time(efficient_producers,esk4_1(esk2_1(esk3_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_122]),c_0_94])]) ).
cnf(c_0_133,plain,
~ greater(X1,X1),
inference(er,[status(thm)],[c_0_124]) ).
cnf(c_0_134,plain,
( constant(X1)
| decreases(X1)
| decreases(X2)
| X3 != sum(X2,X1)
| ~ constant(X3) ),
i_0_9 ).
cnf(c_0_135,negated_conjecture,
( greater(growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))),zero)
| ~ increases(cardinality_at_time(first_movers,esk4_1(esk2_1(esk3_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_107]),c_0_94])]) ).
cnf(c_0_136,plain,
( greater(zero,growth_rate(first_movers,esk4_1(X1)))
| ~ decreases(cardinality_at_time(first_movers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_100]),c_0_80])]),c_0_86]),c_0_101]) ).
cnf(c_0_137,plain,
( constant(X1)
| decreases(X2)
| increases(X2)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_126]) ).
cnf(c_0_138,plain,
( ~ decreases(cardinality_at_time(efficient_producers,esk4_1(esk2_1(esk3_0))))
| ~ increases(cardinality_at_time(efficient_producers,esk4_1(esk2_1(esk3_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_94])]) ).
cnf(c_0_139,plain,
( constant(cardinality_at_time(efficient_producers,esk4_1(X1)))
| increases(cardinality_at_time(first_movers,esk4_1(X1)))
| increases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| greater(equilibrium(esk3_0),esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_140,negated_conjecture,
~ constant(cardinality_at_time(efficient_producers,esk4_1(esk2_1(esk3_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_94])]) ).
cnf(c_0_141,plain,
( ~ decreases(cardinality_at_time(efficient_producers,esk4_1(esk2_1(esk3_0))))
| ~ increases(cardinality_at_time(first_movers,esk4_1(esk2_1(esk3_0)))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_128]),c_0_94])]),c_0_133]) ).
cnf(c_0_142,plain,
( constant(X1)
| decreases(X2)
| decreases(X1)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_134]) ).
cnf(c_0_143,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
i_0_22 ).
cnf(c_0_144,plain,
( X1 = X2
| greater(X1,X2)
| ~ greater_or_equal(X1,X2) ),
i_0_27 ).
cnf(c_0_145,plain,
( ~ increases(cardinality_at_time(first_movers,esk4_1(esk2_1(esk3_0))))
| ~ greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_135]),c_0_94])]) ).
cnf(c_0_146,plain,
( ~ decreases(cardinality_at_time(first_movers,esk4_1(X1)))
| ~ increases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_127,c_0_136]) ).
cnf(c_0_147,plain,
( constant(cardinality_at_time(efficient_producers,esk4_1(X1)))
| decreases(cardinality_at_time(first_movers,esk4_1(X1)))
| increases(cardinality_at_time(first_movers,esk4_1(X1)))
| greater(equilibrium(esk3_0),esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_137,c_0_130]) ).
cnf(c_0_148,plain,
( greater(equilibrium(esk3_0),esk4_1(esk2_1(esk3_0)))
| ~ decreases(cardinality_at_time(efficient_producers,esk4_1(esk2_1(esk3_0)))) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_94])]),c_0_140]),c_0_141]) ).
cnf(c_0_149,plain,
( constant(cardinality_at_time(efficient_producers,esk4_1(X1)))
| decreases(cardinality_at_time(first_movers,esk4_1(X1)))
| decreases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| greater(equilibrium(esk3_0),esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_130]) ).
cnf(c_0_150,plain,
( greater(growth_rate(efficient_producers,esk4_1(X1)),growth_rate(first_movers,esk4_1(X1)))
| ~ greater(esk4_1(X1),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_103]) ).
cnf(c_0_151,plain,
( greater(X1,zero)
| ~ increases(cardinality_at_time(efficient_producers,esk4_1(X2)))
| ~ greater(X1,growth_rate(efficient_producers,esk4_1(X2)))
| ~ in_environment(esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_106,c_0_116]) ).
cnf(c_0_152,plain,
( ~ decreases(cardinality_at_time(first_movers,esk4_1(X1)))
| ~ greater(growth_rate(first_movers,esk4_1(X1)),zero)
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_143,c_0_136]) ).
cnf(c_0_153,plain,
( growth_rate(first_movers,esk4_1(X1)) = zero
| ~ constant(cardinality_at_time(first_movers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_100]),c_0_80])]),c_0_86]),c_0_101]) ).
cnf(c_0_154,negated_conjecture,
( esk4_1(X1) = X1
| greater(esk4_1(X1),X1)
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_93]) ).
cnf(c_0_155,plain,
( ~ decreases(cardinality_at_time(first_movers,esk4_1(esk2_1(esk3_0))))
| ~ increases(cardinality_at_time(first_movers,esk4_1(esk2_1(esk3_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_136]),c_0_94])]) ).
cnf(c_0_156,plain,
( constant(cardinality_at_time(efficient_producers,esk4_1(X1)))
| increases(cardinality_at_time(first_movers,esk4_1(X1)))
| greater(equilibrium(esk3_0),esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_139]),c_0_147]) ).
cnf(c_0_157,plain,
( decreases(cardinality_at_time(first_movers,esk4_1(esk2_1(esk3_0))))
| greater(equilibrium(esk3_0),esk4_1(esk2_1(esk3_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_94])]),c_0_140]) ).
cnf(c_0_158,plain,
( ~ decreases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ greater(growth_rate(efficient_producers,esk4_1(X1)),zero)
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_143,c_0_118]) ).
cnf(c_0_159,plain,
( greater(growth_rate(efficient_producers,esk4_1(X1)),zero)
| ~ increases(cardinality_at_time(first_movers,esk4_1(X1)))
| ~ greater(esk4_1(X1),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_150]) ).
cnf(c_0_160,plain,
( ~ decreases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ increases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_118]),c_0_133]) ).
cnf(c_0_161,plain,
( ~ constant(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ decreases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_122]),c_0_133]) ).
cnf(c_0_162,plain,
( constant(X1)
| decreases(X2)
| decreases(X1)
| X3 != sum(X1,X2)
| ~ constant(X3) ),
i_0_13 ).
cnf(c_0_163,plain,
( ~ decreases(cardinality_at_time(first_movers,esk4_1(X1)))
| ~ increases(cardinality_at_time(first_movers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_152,c_0_114]) ).
cnf(c_0_164,negated_conjecture,
( ~ constant(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ decreases(cardinality_at_time(first_movers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_136]) ).
cnf(c_0_165,plain,
( ~ constant(cardinality_at_time(first_movers,esk4_1(X1)))
| ~ increases(cardinality_at_time(first_movers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_153]),c_0_133]) ).
cnf(c_0_166,plain,
( esk4_1(X1) = X1
| greater(X2,X1)
| ~ greater(X2,esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_154]) ).
cnf(c_0_167,plain,
greater(equilibrium(esk3_0),esk4_1(esk2_1(esk3_0))),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_94])]),c_0_140]),c_0_157]) ).
cnf(c_0_168,hypothesis,
( greater_or_equal(esk1_1(X1),equilibrium(X1))
| ~ environment(X1)
| ~ stable(X1) ),
i_0_34 ).
cnf(c_0_169,plain,
( ~ decreases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ increases(cardinality_at_time(first_movers,esk4_1(X1)))
| ~ greater(esk4_1(X1),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_170,plain,
( increases(cardinality_at_time(first_movers,esk4_1(X1)))
| greater(equilibrium(esk3_0),esk4_1(X1))
| ~ decreases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_139]),c_0_161]) ).
cnf(c_0_171,plain,
( constant(X1)
| decreases(X2)
| decreases(X1)
| ~ constant(sum(X1,X2)) ),
inference(er,[status(thm)],[c_0_162]) ).
cnf(c_0_172,plain,
( greater(equilibrium(esk3_0),esk4_1(X1))
| ~ decreases(cardinality_at_time(first_movers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_156]),c_0_164]) ).
cnf(c_0_173,plain,
( ~ constant(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ greater(esk4_1(X1),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_122]),c_0_131]) ).
cnf(c_0_174,plain,
( constant(cardinality_at_time(efficient_producers,esk4_1(X1)))
| greater(equilibrium(esk3_0),esk4_1(X1))
| ~ constant(cardinality_at_time(first_movers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_165,c_0_156]) ).
cnf(c_0_175,plain,
( esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| greater(equilibrium(esk3_0),esk2_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_94])]) ).
cnf(c_0_176,negated_conjecture,
greater_or_equal(esk1_1(esk3_0),equilibrium(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_82]),c_0_80])]) ).
cnf(c_0_177,plain,
( greater(equilibrium(esk3_0),esk4_1(X1))
| ~ decreases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ greater(esk4_1(X1),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_178,plain,
( constant(cardinality_at_time(first_movers,esk4_1(X1)))
| decreases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| greater(equilibrium(esk3_0),esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_130]),c_0_172]) ).
cnf(c_0_179,plain,
( greater(equilibrium(esk3_0),esk4_1(X1))
| ~ constant(cardinality_at_time(first_movers,esk4_1(X1)))
| ~ greater(esk4_1(X1),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_180,plain,
greater(equilibrium(esk3_0),esk2_1(esk3_0)),
inference(spm,[status(thm)],[c_0_167,c_0_175]) ).
cnf(c_0_181,plain,
( esk1_1(esk3_0) = equilibrium(esk3_0)
| greater(esk1_1(esk3_0),equilibrium(esk3_0)) ),
inference(spm,[status(thm)],[c_0_144,c_0_176]) ).
cnf(c_0_182,hypothesis,
( in_environment(X1,esk1_1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
i_0_35 ).
cnf(c_0_183,plain,
( greater(equilibrium(esk3_0),esk4_1(X1))
| ~ greater(esk4_1(X1),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]) ).
cnf(c_0_184,plain,
( greater(X1,esk2_1(esk3_0))
| ~ greater(X1,equilibrium(esk3_0)) ),
inference(spm,[status(thm)],[c_0_106,c_0_180]) ).
cnf(c_0_185,plain,
( esk1_1(esk3_0) = equilibrium(esk3_0)
| greater(X1,equilibrium(esk3_0))
| ~ greater(X1,esk1_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_106,c_0_181]) ).
cnf(c_0_186,negated_conjecture,
in_environment(esk3_0,esk1_1(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_82]),c_0_80])]) ).
cnf(c_0_187,plain,
( ~ greater(esk4_1(X1),equilibrium(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_143]) ).
cnf(c_0_188,negated_conjecture,
( esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| esk1_1(esk3_0) = equilibrium(esk3_0)
| greater(esk4_1(esk1_1(esk3_0)),equilibrium(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_154]),c_0_186])]) ).
cnf(c_0_189,negated_conjecture,
( esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| esk1_1(esk3_0) = equilibrium(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_186])]) ).
cnf(c_0_190,negated_conjecture,
( esk4_1(equilibrium(esk3_0)) = equilibrium(esk3_0)
| ~ in_environment(esk3_0,equilibrium(esk3_0)) ),
inference(spm,[status(thm)],[c_0_187,c_0_154]) ).
cnf(c_0_191,plain,
esk1_1(esk3_0) = equilibrium(esk3_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_189]),c_0_186])]),c_0_181]) ).
cnf(c_0_192,plain,
~ in_environment(esk3_0,equilibrium(esk3_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_190]),c_0_180])]),c_0_133]) ).
cnf(c_0_193,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_191]),c_0_192]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT035+2 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 12:38:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected complete mode:
% 9.04/2.63 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.04/2.63 # No SInE strategy applied
% 9.04/2.63 # Trying AutoSched0 for 150 seconds
% 9.04/2.63 # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y
% 9.04/2.63 # and selection function SelectMaxLComplexAvoidPosPred.
% 9.04/2.63 #
% 9.04/2.63 # Preprocessing time : 0.025 s
% 9.04/2.63 # Presaturation interreduction done
% 9.04/2.63
% 9.04/2.63 # Proof found!
% 9.04/2.63 # SZS status Theorem
% 9.04/2.63 # SZS output start CNFRefutation
% See solution above
% 9.04/2.63 # Training examples: 0 positive, 0 negative
% 9.04/2.63
% 9.04/2.63 # -------------------------------------------------
% 9.04/2.63 # User time : 0.198 s
% 9.04/2.63 # System time : 0.013 s
% 9.04/2.63 # Total time : 0.211 s
% 9.04/2.63 # Maximum resident set size: 7128 pages
% 9.04/2.63
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