TSTP Solution File: MGT028+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : MGT028+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 22:06:20 EDT 2022
% Result : Theorem 7.70s 2.38s
% Output : CNFRefutation 7.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 42 ( 12 unt; 12 nHn; 42 RR)
% Number of literals : 134 ( 0 equ; 85 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
( greater_or_equal(esk1_2(X1,X2),X2)
| greater(esk2_1(X1),appear(efficient_producers,X1))
| ~ environment(X1)
| ~ stable(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ap5q3mvj/input.p',i_0_4) ).
cnf(i_0_9,hypothesis,
( in_environment(X1,esk3_1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ap5q3mvj/input.p',i_0_9) ).
cnf(i_0_6,plain,
( greater(esk2_1(X1),appear(efficient_producers,X1))
| subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X2))
| ~ environment(X1)
| ~ stable(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ap5q3mvj/input.p',i_0_6) ).
cnf(i_0_7,hypothesis,
( greater(zero,growth_rate(first_movers,X1))
| ~ environment(X2)
| ~ stable(X2)
| ~ greater_or_equal(X1,esk3_1(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ap5q3mvj/input.p',i_0_7) ).
cnf(i_0_13,negated_conjecture,
stable(esk4_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ap5q3mvj/input.p',i_0_13) ).
cnf(i_0_14,negated_conjecture,
environment(esk4_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ap5q3mvj/input.p',i_0_14) ).
cnf(i_0_2,plain,
( greater(esk2_1(X1),appear(efficient_producers,X1))
| ~ environment(X1)
| ~ stable(X1)
| ~ in_environment(X1,X2)
| ~ greater(zero,growth_rate(first_movers,esk1_2(X1,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ap5q3mvj/input.p',i_0_2) ).
cnf(i_0_11,negated_conjecture,
( greater_or_equal(esk5_1(X1),X1)
| ~ greater(X1,appear(efficient_producers,esk4_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ap5q3mvj/input.p',i_0_11) ).
cnf(i_0_12,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(X1))
| ~ greater(X1,appear(efficient_producers,esk4_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ap5q3mvj/input.p',i_0_12) ).
cnf(i_0_10,negated_conjecture,
( ~ greater(X1,appear(efficient_producers,esk4_0))
| ~ greater(zero,growth_rate(first_movers,esk5_1(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ap5q3mvj/input.p',i_0_10) ).
cnf(i_0_3,plain,
( greater_or_equal(esk1_2(X1,X2),X2)
| greater(zero,growth_rate(first_movers,X3))
| ~ environment(X1)
| ~ stable(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(X3,esk2_1(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ap5q3mvj/input.p',i_0_3) ).
cnf(i_0_1,plain,
( greater(zero,growth_rate(first_movers,X1))
| ~ environment(X2)
| ~ stable(X2)
| ~ in_environment(X2,X3)
| ~ greater_or_equal(X1,esk2_1(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ greater(zero,growth_rate(first_movers,esk1_2(X2,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ap5q3mvj/input.p',i_0_1) ).
cnf(i_0_5,plain,
( greater(zero,growth_rate(first_movers,X1))
| subpopulations(first_movers,efficient_producers,X2,esk1_2(X2,X3))
| ~ environment(X2)
| ~ stable(X2)
| ~ in_environment(X2,X3)
| ~ greater_or_equal(X1,esk2_1(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ap5q3mvj/input.p',i_0_5) ).
cnf(c_0_28,plain,
( greater_or_equal(esk1_2(X1,X2),X2)
| greater(esk2_1(X1),appear(efficient_producers,X1))
| ~ environment(X1)
| ~ stable(X1)
| ~ in_environment(X1,X2) ),
i_0_4 ).
cnf(c_0_29,hypothesis,
( in_environment(X1,esk3_1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
i_0_9 ).
cnf(c_0_30,plain,
( greater(esk2_1(X1),appear(efficient_producers,X1))
| subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X2))
| ~ environment(X1)
| ~ stable(X1)
| ~ in_environment(X1,X2) ),
i_0_6 ).
cnf(c_0_31,hypothesis,
( greater(zero,growth_rate(first_movers,X1))
| ~ environment(X2)
| ~ stable(X2)
| ~ greater_or_equal(X1,esk3_1(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
i_0_7 ).
cnf(c_0_32,hypothesis,
( greater(esk2_1(X1),appear(efficient_producers,X1))
| greater_or_equal(esk1_2(X1,esk3_1(X1)),esk3_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,esk3_1(X1)))
| greater(esk2_1(X1),appear(efficient_producers,X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_29]) ).
cnf(c_0_34,hypothesis,
( greater(zero,growth_rate(first_movers,esk1_2(X1,esk3_1(X1))))
| greater(esk2_1(X1),appear(efficient_producers,X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_35,negated_conjecture,
stable(esk4_0),
i_0_13 ).
cnf(c_0_36,negated_conjecture,
environment(esk4_0),
i_0_14 ).
cnf(c_0_37,plain,
( greater(esk2_1(X1),appear(efficient_producers,X1))
| ~ environment(X1)
| ~ stable(X1)
| ~ in_environment(X1,X2)
| ~ greater(zero,growth_rate(first_movers,esk1_2(X1,X2))) ),
i_0_2 ).
cnf(c_0_38,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
| greater(esk2_1(esk4_0),appear(efficient_producers,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_39,plain,
( greater(esk2_1(esk4_0),appear(efficient_producers,esk4_0))
| ~ in_environment(esk4_0,esk3_1(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_35]),c_0_36])]) ).
cnf(c_0_40,negated_conjecture,
( greater_or_equal(esk5_1(X1),X1)
| ~ greater(X1,appear(efficient_producers,esk4_0)) ),
i_0_11 ).
cnf(c_0_41,hypothesis,
greater(esk2_1(esk4_0),appear(efficient_producers,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_29]),c_0_35]),c_0_36])]) ).
cnf(c_0_42,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(X1))
| ~ greater(X1,appear(efficient_producers,esk4_0)) ),
i_0_12 ).
cnf(c_0_43,negated_conjecture,
( ~ greater(X1,appear(efficient_producers,esk4_0))
| ~ greater(zero,growth_rate(first_movers,esk5_1(X1))) ),
i_0_10 ).
cnf(c_0_44,plain,
( greater_or_equal(esk1_2(X1,X2),X2)
| greater(zero,growth_rate(first_movers,X3))
| ~ environment(X1)
| ~ stable(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(X3,esk2_1(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X3) ),
i_0_3 ).
cnf(c_0_45,negated_conjecture,
greater_or_equal(esk5_1(esk2_1(esk4_0)),esk2_1(esk4_0)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0))),
inference(spm,[status(thm)],[c_0_42,c_0_41]) ).
cnf(c_0_47,negated_conjecture,
~ greater(zero,growth_rate(first_movers,esk5_1(esk2_1(esk4_0)))),
inference(spm,[status(thm)],[c_0_43,c_0_41]) ).
cnf(c_0_48,plain,
( greater(zero,growth_rate(first_movers,X1))
| ~ environment(X2)
| ~ stable(X2)
| ~ in_environment(X2,X3)
| ~ greater_or_equal(X1,esk2_1(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ greater(zero,growth_rate(first_movers,esk1_2(X2,X3))) ),
i_0_1 ).
cnf(c_0_49,plain,
( greater(zero,growth_rate(first_movers,X1))
| subpopulations(first_movers,efficient_producers,X2,esk1_2(X2,X3))
| ~ environment(X2)
| ~ stable(X2)
| ~ in_environment(X2,X3)
| ~ greater_or_equal(X1,esk2_1(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
i_0_5 ).
cnf(c_0_50,plain,
( greater_or_equal(esk1_2(esk4_0,X1),X1)
| ~ in_environment(esk4_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_35]),c_0_36])]),c_0_47]) ).
cnf(c_0_51,plain,
( ~ greater(zero,growth_rate(first_movers,esk1_2(esk4_0,X1)))
| ~ in_environment(esk4_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_45]),c_0_46]),c_0_35]),c_0_36])]),c_0_47]) ).
cnf(c_0_52,plain,
( subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,X1))
| ~ in_environment(esk4_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_45]),c_0_46]),c_0_35]),c_0_36])]),c_0_47]) ).
cnf(c_0_53,hypothesis,
greater_or_equal(esk1_2(esk4_0,esk3_1(esk4_0)),esk3_1(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_29]),c_0_35]),c_0_36])]) ).
cnf(c_0_54,hypothesis,
~ greater(zero,growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_29]),c_0_35]),c_0_36])]) ).
cnf(c_0_55,hypothesis,
subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,esk3_1(esk4_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_29]),c_0_35]),c_0_36])]) ).
cnf(c_0_56,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_53]),c_0_35]),c_0_36])]),c_0_54]),c_0_55])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT028+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 09:36:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 7.70/2.38 # ENIGMATIC: Solved by autoschedule:
% 7.70/2.38 # No SInE strategy applied
% 7.70/2.38 # Trying AutoSched0 for 150 seconds
% 7.70/2.38 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2SA
% 7.70/2.38 # and selection function SelectNewComplexAHP.
% 7.70/2.38 #
% 7.70/2.38 # Preprocessing time : 0.024 s
% 7.70/2.38 # Presaturation interreduction done
% 7.70/2.38
% 7.70/2.38 # Proof found!
% 7.70/2.38 # SZS status Theorem
% 7.70/2.38 # SZS output start CNFRefutation
% See solution above
% 7.70/2.38 # Training examples: 0 positive, 0 negative
% 7.70/2.38
% 7.70/2.38 # -------------------------------------------------
% 7.70/2.38 # User time : 0.025 s
% 7.70/2.38 # System time : 0.008 s
% 7.70/2.38 # Total time : 0.034 s
% 7.70/2.38 # Maximum resident set size: 7120 pages
% 7.70/2.38
%------------------------------------------------------------------------------