TSTP Solution File: MGT024+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : MGT024+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 6.88s 2.34s
% Output : CNFRefutation 6.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of clauses : 58 ( 15 unt; 26 nHn; 58 RR)
% Number of literals : 179 ( 33 equ; 88 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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-_klywvee/lgb.p',i_0_2) ).
cnf(i_0_20,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_klywvee/lgb.p',i_0_20) ).
cnf(i_0_21,negated_conjecture,
environment(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_klywvee/lgb.p',i_0_21) ).
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-_klywvee/lgb.p',i_0_1) ).
cnf(i_0_3,plain,
( ~ environment(X1)
| ~ greater_or_equal(X2,equilibrium(X1))
| ~ greater(equilibrium(X1),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_klywvee/lgb.p',i_0_3) ).
cnf(i_0_19,negated_conjecture,
greater_or_equal(esk2_0,equilibrium(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_klywvee/lgb.p',i_0_19) ).
cnf(i_0_4,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-_klywvee/lgb.p',i_0_4) ).
cnf(i_0_6,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-_klywvee/lgb.p',i_0_6) ).
cnf(i_0_8,hypothesis,
( growth_rate(efficient_producers,X1) = zero
| greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| ~ environment(X2)
| ~ constant(number_of_organizations(X2,X1))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_klywvee/lgb.p',i_0_8) ).
cnf(i_0_17,negated_conjecture,
( ~ greater(zero,growth_rate(efficient_producers,esk2_0))
| ~ greater(growth_rate(first_movers,esk2_0),zero) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_klywvee/lgb.p',i_0_17) ).
cnf(i_0_10,hypothesis,
( growth_rate(efficient_producers,X1) = zero
| greater(zero,growth_rate(first_movers,X1))
| greater(growth_rate(first_movers,X1),zero)
| ~ environment(X2)
| ~ constant(number_of_organizations(X2,X1))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_klywvee/lgb.p',i_0_10) ).
cnf(i_0_16,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,esk2_0))
| ~ greater(growth_rate(efficient_producers,esk2_0),zero) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_klywvee/lgb.p',i_0_16) ).
cnf(i_0_9,hypothesis,
( growth_rate(efficient_producers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(growth_rate(efficient_producers,X1),zero)
| ~ environment(X2)
| ~ constant(number_of_organizations(X2,X1))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_klywvee/lgb.p',i_0_9) ).
cnf(i_0_12,hypothesis,
( growth_rate(first_movers,X1) = zero
| greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| ~ environment(X2)
| ~ constant(number_of_organizations(X2,X1))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_klywvee/lgb.p',i_0_12) ).
cnf(i_0_14,hypothesis,
( growth_rate(first_movers,X1) = zero
| greater(zero,growth_rate(first_movers,X1))
| greater(growth_rate(first_movers,X1),zero)
| ~ environment(X2)
| ~ constant(number_of_organizations(X2,X1))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_klywvee/lgb.p',i_0_14) ).
cnf(i_0_11,hypothesis,
( growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero)
| ~ environment(X2)
| ~ constant(number_of_organizations(X2,X1))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_klywvee/lgb.p',i_0_11) ).
cnf(i_0_13,hypothesis,
( growth_rate(first_movers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(growth_rate(efficient_producers,X1),zero)
| ~ environment(X2)
| ~ constant(number_of_organizations(X2,X1))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_klywvee/lgb.p',i_0_13) ).
cnf(i_0_18,negated_conjecture,
( growth_rate(first_movers,esk2_0) != zero
| growth_rate(efficient_producers,esk2_0) != zero ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_klywvee/lgb.p',i_0_18) ).
cnf(c_0_40,plain,
( greater(number_of_organizations(X1,X2),zero)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
i_0_2 ).
cnf(c_0_41,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
i_0_20 ).
cnf(c_0_42,negated_conjecture,
environment(esk1_0),
i_0_21 ).
cnf(c_0_43,plain,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
i_0_1 ).
cnf(c_0_44,plain,
( ~ environment(X1)
| ~ greater_or_equal(X2,equilibrium(X1))
| ~ greater(equilibrium(X1),X2) ),
i_0_3 ).
cnf(c_0_45,negated_conjecture,
greater_or_equal(esk2_0,equilibrium(esk1_0)),
i_0_19 ).
cnf(c_0_46,hypothesis,
( constant(resources(X1,X2))
| greater(equilibrium(X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(number_of_organizations(X1,X2),zero) ),
i_0_4 ).
cnf(c_0_47,negated_conjecture,
greater(number_of_organizations(esk1_0,esk2_0),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).
cnf(c_0_48,negated_conjecture,
in_environment(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_41]),c_0_42])]) ).
cnf(c_0_49,negated_conjecture,
~ greater(equilibrium(esk1_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_42])]) ).
cnf(c_0_50,hypothesis,
( constant(number_of_organizations(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ constant(resources(X1,X2)) ),
i_0_6 ).
cnf(c_0_51,hypothesis,
constant(resources(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_42])]),c_0_49]) ).
cnf(c_0_52,hypothesis,
( growth_rate(efficient_producers,X1) = zero
| greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| ~ environment(X2)
| ~ constant(number_of_organizations(X2,X1))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
i_0_8 ).
cnf(c_0_53,hypothesis,
constant(number_of_organizations(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_48]),c_0_42])]) ).
cnf(c_0_54,negated_conjecture,
( ~ greater(zero,growth_rate(efficient_producers,esk2_0))
| ~ greater(growth_rate(first_movers,esk2_0),zero) ),
i_0_17 ).
cnf(c_0_55,hypothesis,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_41]),c_0_42])]) ).
cnf(c_0_56,hypothesis,
( growth_rate(efficient_producers,X1) = zero
| greater(zero,growth_rate(first_movers,X1))
| greater(growth_rate(first_movers,X1),zero)
| ~ environment(X2)
| ~ constant(number_of_organizations(X2,X1))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
i_0_10 ).
cnf(c_0_57,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| ~ greater(growth_rate(first_movers,esk2_0),zero) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,esk2_0))
| ~ greater(growth_rate(efficient_producers,esk2_0),zero) ),
i_0_16 ).
cnf(c_0_59,hypothesis,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_53]),c_0_41]),c_0_42])]),c_0_57]) ).
cnf(c_0_60,hypothesis,
( growth_rate(efficient_producers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(growth_rate(efficient_producers,X1),zero)
| ~ environment(X2)
| ~ constant(number_of_organizations(X2,X1))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
i_0_9 ).
cnf(c_0_61,hypothesis,
( growth_rate(first_movers,X1) = zero
| greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| ~ environment(X2)
| ~ constant(number_of_organizations(X2,X1))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
i_0_12 ).
cnf(c_0_62,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| ~ greater(growth_rate(efficient_producers,esk2_0),zero) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_63,hypothesis,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(growth_rate(efficient_producers,esk2_0),zero)
| greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_53]),c_0_41]),c_0_42])]) ).
cnf(c_0_64,hypothesis,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_53]),c_0_41]),c_0_42])]) ).
cnf(c_0_65,hypothesis,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_66,hypothesis,
( growth_rate(first_movers,X1) = zero
| greater(zero,growth_rate(first_movers,X1))
| greater(growth_rate(first_movers,X1),zero)
| ~ environment(X2)
| ~ constant(number_of_organizations(X2,X1))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
i_0_14 ).
cnf(c_0_67,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| ~ greater(growth_rate(first_movers,esk2_0),zero) ),
inference(spm,[status(thm)],[c_0_54,c_0_64]) ).
cnf(c_0_68,hypothesis,
( growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero)
| ~ environment(X2)
| ~ constant(number_of_organizations(X2,X1))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
i_0_11 ).
cnf(c_0_69,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| ~ greater(growth_rate(first_movers,esk2_0),zero) ),
inference(spm,[status(thm)],[c_0_54,c_0_65]) ).
cnf(c_0_70,hypothesis,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_53]),c_0_41]),c_0_42])]),c_0_67]) ).
cnf(c_0_71,hypothesis,
( growth_rate(first_movers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(growth_rate(efficient_producers,X1),zero)
| ~ environment(X2)
| ~ constant(number_of_organizations(X2,X1))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
i_0_13 ).
cnf(c_0_72,negated_conjecture,
( growth_rate(first_movers,esk2_0) != zero
| growth_rate(efficient_producers,esk2_0) != zero ),
i_0_18 ).
cnf(c_0_73,hypothesis,
growth_rate(efficient_producers,esk2_0) = zero,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_53]),c_0_41]),c_0_42])]),c_0_69]),c_0_62]) ).
cnf(c_0_74,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| ~ greater(growth_rate(efficient_producers,esk2_0),zero) ),
inference(spm,[status(thm)],[c_0_58,c_0_70]) ).
cnf(c_0_75,hypothesis,
( growth_rate(first_movers,esk2_0) = zero
| greater(growth_rate(efficient_producers,esk2_0),zero)
| greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_53]),c_0_41]),c_0_42])]) ).
cnf(c_0_76,negated_conjecture,
growth_rate(first_movers,esk2_0) != zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73])]) ).
cnf(c_0_77,hypothesis,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_78,negated_conjecture,
~ greater(zero,zero),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_73]),c_0_76]) ).
cnf(c_0_79,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_73]),c_0_76]),c_0_78]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT024+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Thu Jun 9 07:54:38 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.43 # ENIGMATIC: Selected complete mode:
% 6.88/2.34 # ENIGMATIC: Solved by autoschedule-lgb:
% 6.88/2.34 # No SInE strategy applied
% 6.88/2.34 # Trying AutoSched0 for 150 seconds
% 6.88/2.34 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 6.88/2.34 # and selection function SelectNewComplexAHP.
% 6.88/2.34 #
% 6.88/2.34 # Preprocessing time : 0.023 s
% 6.88/2.34 # Presaturation interreduction done
% 6.88/2.34
% 6.88/2.34 # Proof found!
% 6.88/2.34 # SZS status Theorem
% 6.88/2.34 # SZS output start CNFRefutation
% See solution above
% 6.88/2.34 # Training examples: 0 positive, 0 negative
% 6.88/2.34
% 6.88/2.34 # -------------------------------------------------
% 6.88/2.34 # User time : 0.024 s
% 6.88/2.34 # System time : 0.008 s
% 6.88/2.34 # Total time : 0.031 s
% 6.88/2.34 # Maximum resident set size: 7128 pages
% 6.88/2.34
%------------------------------------------------------------------------------