TSTP Solution File: MGT025-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : MGT025-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n027.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 22:23:21 EDT 2022
% Result : Unsatisfiable 11.25s 11.43s
% Output : Refutation 11.25s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_l7_47,negated_conjecture,
environment(sk1),
input ).
cnf(prove_l7_48,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
input ).
cnf(mp_time_point_occur_45,axiom,
( ~ environment(X37)
| ~ subpopulations(first_movers,efficient_producers,X37,X36)
| in_environment(X37,X36) ),
input ).
cnf(c18,plain,
( ~ environment(sk1)
| in_environment(sk1,sk2) ),
inference(resolution,status(thm),[mp_time_point_occur_45,prove_l7_48]) ).
cnf(c19,plain,
in_environment(sk1,sk2),
inference(resolution,status(thm),[c18,prove_l7_47]) ).
cnf(mp_subpopulations_31,axiom,
( ~ environment(X35)
| ~ in_environment(X35,X34)
| subpopulation(efficient_producers,X35,X34) ),
input ).
cnf(c21,plain,
( ~ environment(sk1)
| subpopulation(efficient_producers,sk1,sk2) ),
inference(resolution,status(thm),[c19,mp_subpopulations_31]) ).
cnf(c23,plain,
subpopulation(efficient_producers,sk1,sk2),
inference(resolution,status(thm),[c21,prove_l7_47]) ).
cnf(mp_non_zero_producers_44,axiom,
( ~ environment(X134)
| ~ subpopulations(first_movers,efficient_producers,X134,X133)
| greater(cardinality_at_time(efficient_producers,X133),zero) ),
input ).
cnf(c55,plain,
( ~ environment(sk1)
| greater(cardinality_at_time(efficient_producers,sk2),zero) ),
inference(resolution,status(thm),[mp_non_zero_producers_44,prove_l7_48]) ).
cnf(c56,plain,
greater(cardinality_at_time(efficient_producers,sk2),zero),
inference(resolution,status(thm),[c55,prove_l7_47]) ).
cnf(mp_growth_rate_41,axiom,
( ~ environment(X137)
| ~ in_environment(X137,X135)
| ~ subpopulation(X136,X137,X135)
| ~ greater(cardinality_at_time(X136,X135),zero)
| ~ increases(cardinality_at_time(X136,X135))
| greater(growth_rate(X136,X135),zero) ),
input ).
cnf(c60,plain,
( ~ environment(X195)
| ~ in_environment(X195,sk2)
| ~ subpopulation(efficient_producers,X195,sk2)
| ~ increases(cardinality_at_time(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolution,status(thm),[mp_growth_rate_41,c56]) ).
cnf(mp_subpopulations_30,axiom,
( ~ environment(X33)
| ~ in_environment(X33,X32)
| subpopulation(first_movers,X33,X32) ),
input ).
cnf(c22,plain,
( ~ environment(sk1)
| subpopulation(first_movers,sk1,sk2) ),
inference(resolution,status(thm),[c19,mp_subpopulations_30]) ).
cnf(c27,plain,
subpopulation(first_movers,sk1,sk2),
inference(resolution,status(thm),[c22,prove_l7_47]) ).
cnf(mp_non_zero_producers_43,axiom,
( ~ environment(X126)
| ~ subpopulations(first_movers,efficient_producers,X126,X125)
| greater(cardinality_at_time(first_movers,X125),zero) ),
input ).
cnf(c49,plain,
( ~ environment(sk1)
| greater(cardinality_at_time(first_movers,sk2),zero) ),
inference(resolution,status(thm),[mp_non_zero_producers_43,prove_l7_48]) ).
cnf(c50,plain,
greater(cardinality_at_time(first_movers,sk2),zero),
inference(resolution,status(thm),[c49,prove_l7_47]) ).
cnf(c59,plain,
( ~ environment(X189)
| ~ in_environment(X189,sk2)
| ~ subpopulation(first_movers,X189,sk2)
| ~ increases(cardinality_at_time(first_movers,sk2))
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolution,status(thm),[mp_growth_rate_41,c50]) ).
cnf(mp_growth_rate_40,axiom,
( ~ environment(X131)
| ~ in_environment(X131,X129)
| ~ subpopulation(X130,X131,X129)
| ~ greater(cardinality_at_time(X130,X129),zero)
| ~ constant(cardinality_at_time(X130,X129))
| growth_rate(X130,X129) = zero ),
input ).
cnf(c53,plain,
( ~ environment(X185)
| ~ in_environment(X185,sk2)
| ~ subpopulation(first_movers,X185,sk2)
| ~ constant(cardinality_at_time(first_movers,sk2))
| growth_rate(first_movers,sk2) = zero ),
inference(resolution,status(thm),[mp_growth_rate_40,c50]) ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(mp_abc_sum_increase_33,axiom,
( X43 != sum(X41,X42)
| ~ constant(X43)
| constant(X41)
| increases(X41)
| increases(X42) ),
input ).
cnf(c31,plain,
( ~ constant(sum(X46,X47))
| constant(X46)
| increases(X46)
| increases(X47) ),
inference(resolution,status(thm),[mp_abc_sum_increase_33,reflexivity]) ).
cnf(prove_l7_49,negated_conjecture,
constant(number_of_organizations(sk1,sk2)),
input ).
cnf(c8,plain,
( X13 != X12
| ~ constant(X13)
| constant(X12) ),
eq_axiom ).
cnf(mp_only_members_28,axiom,
( ~ environment(X17)
| ~ subpopulation(X15,X17,X16)
| X15 != efficient_producers
| number_of_organizations(X17,X16) = sum(cardinality_at_time(first_movers,X16),cardinality_at_time(efficient_producers,X16)) ),
input ).
cnf(c26,plain,
( ~ environment(sk1)
| efficient_producers != efficient_producers
| number_of_organizations(sk1,sk2) = sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c23,mp_only_members_28]) ).
cnf(c80,plain,
( ~ environment(sk1)
| number_of_organizations(sk1,sk2) = sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c26,reflexivity]) ).
cnf(c81,plain,
number_of_organizations(sk1,sk2) = sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)),
inference(resolution,status(thm),[c80,prove_l7_47]) ).
cnf(c98,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))) ),
inference(resolution,status(thm),[c81,c8]) ).
cnf(c118,plain,
constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))),
inference(resolution,status(thm),[c98,prove_l7_49]) ).
cnf(c125,plain,
( constant(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c118,c31]) ).
cnf(c129,plain,
( increases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| ~ environment(X325)
| ~ in_environment(X325,sk2)
| ~ subpopulation(first_movers,X325,sk2)
| growth_rate(first_movers,sk2) = zero ),
inference(resolution,status(thm),[c125,c53]) ).
cnf(c585,plain,
( increases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| growth_rate(first_movers,sk2) = zero ),
inference(resolution,status(thm),[c129,c27]) ).
cnf(c10598,plain,
( increases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| ~ environment(sk1)
| growth_rate(first_movers,sk2) = zero ),
inference(resolution,status(thm),[c585,c19]) ).
cnf(c10599,plain,
( increases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| growth_rate(first_movers,sk2) = zero ),
inference(resolution,status(thm),[c10598,prove_l7_47]) ).
cnf(prove_l7_50,negated_conjecture,
( growth_rate(first_movers,sk2) != zero
| growth_rate(efficient_producers,sk2) != zero ),
input ).
cnf(mp_abc_sum_increase_37,axiom,
( X107 != sum(X105,X106)
| ~ constant(X107)
| constant(X106)
| increases(X105)
| increases(X106) ),
input ).
cnf(c45,plain,
( ~ constant(sum(X114,X113))
| constant(X113)
| increases(X114)
| increases(X113) ),
inference(resolution,status(thm),[mp_abc_sum_increase_37,reflexivity]) ).
cnf(c121,plain,
( constant(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c118,c45]) ).
cnf(c57,plain,
( ~ environment(X186)
| ~ in_environment(X186,sk2)
| ~ subpopulation(efficient_producers,X186,sk2)
| ~ constant(cardinality_at_time(efficient_producers,sk2))
| growth_rate(efficient_producers,sk2) = zero ),
inference(resolution,status(thm),[c56,mp_growth_rate_40]) ).
cnf(c131,plain,
( ~ environment(X340)
| ~ in_environment(X340,sk2)
| ~ subpopulation(efficient_producers,X340,sk2)
| growth_rate(efficient_producers,sk2) = zero
| increases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c57,c121]) ).
cnf(c599,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| growth_rate(efficient_producers,sk2) = zero
| increases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c131,c23]) ).
cnf(c15881,plain,
( ~ environment(sk1)
| growth_rate(efficient_producers,sk2) = zero
| increases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c599,c19]) ).
cnf(c15882,plain,
( growth_rate(efficient_producers,sk2) = zero
| increases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c15881,prove_l7_47]) ).
cnf(c15931,plain,
( increases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| growth_rate(first_movers,sk2) != zero ),
inference(resolution,status(thm),[c15882,prove_l7_50]) ).
cnf(c16039,plain,
( increases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c15931,c10599]) ).
cnf(c16043,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| ~ environment(X1308)
| ~ in_environment(X1308,sk2)
| ~ subpopulation(first_movers,X1308,sk2)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolution,status(thm),[c16039,c59]) ).
cnf(c16203,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolution,status(thm),[c16043,c27]) ).
cnf(c16204,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| ~ environment(sk1)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolution,status(thm),[c16203,c19]) ).
cnf(c16205,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolution,status(thm),[c16204,prove_l7_47]) ).
cnf(prove_l7_51,negated_conjecture,
( ~ greater(growth_rate(first_movers,sk2),zero)
| ~ greater(zero,growth_rate(efficient_producers,sk2)) ),
input ).
cnf(mp_growth_rate_42,axiom,
( ~ environment(X143)
| ~ in_environment(X143,X141)
| ~ subpopulation(X142,X143,X141)
| ~ greater(cardinality_at_time(X142,X141),zero)
| ~ decreases(cardinality_at_time(X142,X141))
| greater(zero,growth_rate(X142,X141)) ),
input ).
cnf(c64,plain,
( ~ environment(X207)
| ~ in_environment(X207,sk2)
| ~ subpopulation(efficient_producers,X207,sk2)
| ~ decreases(cardinality_at_time(efficient_producers,sk2))
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolution,status(thm),[mp_growth_rate_42,c56]) ).
cnf(mp_abc_sum_increase_35,axiom,
( X73 != sum(X71,X72)
| ~ constant(X73)
| constant(X71)
| decreases(X72)
| increases(X72) ),
input ).
cnf(c38,plain,
( ~ constant(sum(X76,X77))
| constant(X76)
| decreases(X77)
| increases(X77) ),
inference(resolution,status(thm),[mp_abc_sum_increase_35,reflexivity]) ).
cnf(c126,plain,
( constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c118,c38]) ).
cnf(c130,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| ~ environment(X332)
| ~ in_environment(X332,sk2)
| ~ subpopulation(first_movers,X332,sk2)
| growth_rate(first_movers,sk2) = zero ),
inference(resolution,status(thm),[c126,c53]) ).
cnf(c590,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| growth_rate(first_movers,sk2) = zero ),
inference(resolution,status(thm),[c130,c27]) ).
cnf(c13706,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| ~ environment(sk1)
| growth_rate(first_movers,sk2) = zero ),
inference(resolution,status(thm),[c590,c19]) ).
cnf(c13707,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| growth_rate(first_movers,sk2) = zero ),
inference(resolution,status(thm),[c13706,prove_l7_47]) ).
cnf(mp_abc_sum_increase_39,axiom,
( X122 != sum(X120,X121)
| ~ constant(X122)
| constant(X121)
| decreases(X121)
| increases(X121) ),
input ).
cnf(c48,plain,
( ~ constant(sum(X124,X123))
| constant(X123)
| decreases(X123)
| increases(X123) ),
inference(resolution,status(thm),[mp_abc_sum_increase_39,reflexivity]) ).
cnf(c124,plain,
( constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c118,c48]) ).
cnf(c133,plain,
( ~ environment(X356)
| ~ in_environment(X356,sk2)
| ~ subpopulation(efficient_producers,X356,sk2)
| growth_rate(efficient_producers,sk2) = zero
| decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c57,c124]) ).
cnf(c617,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| growth_rate(efficient_producers,sk2) = zero
| decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c133,c23]) ).
cnf(c20982,plain,
( ~ environment(sk1)
| growth_rate(efficient_producers,sk2) = zero
| decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c617,c19]) ).
cnf(c21063,plain,
( growth_rate(efficient_producers,sk2) = zero
| decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c20982,prove_l7_47]) ).
cnf(c21120,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| growth_rate(first_movers,sk2) != zero ),
inference(resolution,status(thm),[c21063,prove_l7_50]) ).
cnf(c21156,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c21120,c13707]) ).
cnf(c21158,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| ~ environment(X1508)
| ~ in_environment(X1508,sk2)
| ~ subpopulation(efficient_producers,X1508,sk2)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c21156,c64]) ).
cnf(c21678,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c21158,c23]) ).
cnf(c21679,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| ~ environment(sk1)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c21678,c19]) ).
cnf(c21680,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c21679,prove_l7_47]) ).
cnf(c21682,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| ~ greater(growth_rate(first_movers,sk2),zero) ),
inference(resolution,status(thm),[c21680,prove_l7_51]) ).
cnf(c21903,plain,
increases(cardinality_at_time(efficient_producers,sk2)),
inference(resolution,status(thm),[c21682,c16205]) ).
cnf(c21907,plain,
( ~ environment(X1513)
| ~ in_environment(X1513,sk2)
| ~ subpopulation(efficient_producers,X1513,sk2)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolution,status(thm),[c21903,c60]) ).
cnf(c21991,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolution,status(thm),[c21907,c23]) ).
cnf(c21992,plain,
( ~ environment(sk1)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolution,status(thm),[c21991,c19]) ).
cnf(c21993,plain,
greater(growth_rate(efficient_producers,sk2),zero),
inference(resolution,status(thm),[c21992,prove_l7_47]) ).
cnf(prove_l7_52,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,sk2),zero)
| ~ greater(zero,growth_rate(first_movers,sk2)) ),
input ).
cnf(c63,plain,
( ~ environment(X201)
| ~ in_environment(X201,sk2)
| ~ subpopulation(first_movers,X201,sk2)
| ~ decreases(cardinality_at_time(first_movers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,status(thm),[mp_growth_rate_42,c50]) ).
cnf(mp_abc_sum_increase_34,axiom,
( X60 != sum(X58,X59)
| ~ constant(X60)
| constant(X58)
| decreases(X59)
| decreases(X58) ),
input ).
cnf(c34,plain,
( ~ constant(sum(X62,X63))
| constant(X62)
| decreases(X63)
| decreases(X62) ),
inference(resolution,status(thm),[mp_abc_sum_increase_34,reflexivity]) ).
cnf(c120,plain,
( constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,status(thm),[c118,c34]) ).
cnf(c127,plain,
( ~ environment(X308)
| ~ in_environment(X308,sk2)
| ~ subpopulation(first_movers,X308,sk2)
| growth_rate(first_movers,sk2) = zero
| decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,status(thm),[c53,c120]) ).
cnf(c563,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| growth_rate(first_movers,sk2) = zero
| decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,status(thm),[c127,c27]) ).
cnf(c6589,plain,
( ~ environment(sk1)
| growth_rate(first_movers,sk2) = zero
| decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,status(thm),[c563,c19]) ).
cnf(c6590,plain,
( growth_rate(first_movers,sk2) = zero
| decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,status(thm),[c6589,prove_l7_47]) ).
cnf(mp_abc_sum_increase_38,axiom,
( X117 != sum(X115,X116)
| ~ constant(X117)
| constant(X116)
| decreases(X116)
| decreases(X115) ),
input ).
cnf(c47,plain,
( ~ constant(sum(X118,X119))
| constant(X119)
| decreases(X119)
| decreases(X118) ),
inference(resolution,status(thm),[mp_abc_sum_increase_38,reflexivity]) ).
cnf(c122,plain,
( constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,status(thm),[c118,c47]) ).
cnf(c132,plain,
( ~ environment(X348)
| ~ in_environment(X348,sk2)
| ~ subpopulation(efficient_producers,X348,sk2)
| growth_rate(efficient_producers,sk2) = zero
| decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,status(thm),[c57,c122]) ).
cnf(c608,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| growth_rate(efficient_producers,sk2) = zero
| decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,status(thm),[c132,c23]) ).
cnf(c18243,plain,
( ~ environment(sk1)
| growth_rate(efficient_producers,sk2) = zero
| decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,status(thm),[c608,c19]) ).
cnf(c18244,plain,
( growth_rate(efficient_producers,sk2) = zero
| decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,status(thm),[c18243,prove_l7_47]) ).
cnf(c18296,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| growth_rate(first_movers,sk2) != zero ),
inference(resolution,status(thm),[c18244,prove_l7_50]) ).
cnf(c18329,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,status(thm),[c18296,c6590]) ).
cnf(c18331,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| ~ environment(X1402)
| ~ in_environment(X1402,sk2)
| ~ subpopulation(efficient_producers,X1402,sk2)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c18329,c64]) ).
cnf(c18823,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c18331,c23]) ).
cnf(c18824,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| ~ environment(sk1)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c18823,c19]) ).
cnf(c19032,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolution,status(thm),[c18824,prove_l7_47]) ).
cnf(c19033,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ environment(X1453)
| ~ in_environment(X1453,sk2)
| ~ subpopulation(first_movers,X1453,sk2)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,status(thm),[c19032,c63]) ).
cnf(c19900,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,status(thm),[c19033,c27]) ).
cnf(c19901,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ environment(sk1)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,status(thm),[c19900,c19]) ).
cnf(c19902,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,status(thm),[c19901,prove_l7_47]) ).
cnf(c19984,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolution,status(thm),[c19902,prove_l7_52]) ).
cnf(c21995,plain,
greater(zero,growth_rate(efficient_producers,sk2)),
inference(resolution,status(thm),[c21993,c19984]) ).
cnf(c22089,plain,
~ greater(growth_rate(first_movers,sk2),zero),
inference(resolution,status(thm),[c21995,prove_l7_51]) ).
cnf(mp_abc_sum_increase_32,axiom,
( X40 != sum(X38,X39)
| ~ constant(X40)
| constant(X38)
| increases(X38)
| decreases(X38) ),
input ).
cnf(c20,plain,
( ~ constant(sum(X44,X45))
| constant(X44)
| increases(X44)
| decreases(X44) ),
inference(resolution,status(thm),[mp_abc_sum_increase_32,reflexivity]) ).
cnf(c123,plain,
( constant(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,status(thm),[c118,c20]) ).
cnf(c128,plain,
( increases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| ~ environment(X316)
| ~ in_environment(X316,sk2)
| ~ subpopulation(first_movers,X316,sk2)
| growth_rate(first_movers,sk2) = zero ),
inference(resolution,status(thm),[c123,c53]) ).
cnf(c572,plain,
( increases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| growth_rate(first_movers,sk2) = zero ),
inference(resolution,status(thm),[c128,c27]) ).
cnf(c7709,plain,
( increases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| ~ environment(sk1)
| growth_rate(first_movers,sk2) = zero ),
inference(resolution,status(thm),[c572,c19]) ).
cnf(c7710,plain,
( increases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| growth_rate(first_movers,sk2) = zero ),
inference(resolution,status(thm),[c7709,prove_l7_47]) ).
cnf(mp_abc_sum_increase_36,axiom,
( X89 != sum(X87,X88)
| ~ constant(X89)
| constant(X88)
| increases(X87)
| decreases(X87) ),
input ).
cnf(c41,plain,
( ~ constant(sum(X90,X91))
| constant(X91)
| increases(X90)
| decreases(X90) ),
inference(resolution,status(thm),[mp_abc_sum_increase_36,reflexivity]) ).
cnf(c119,plain,
( constant(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,status(thm),[c118,c41]) ).
cnf(c134,plain,
( ~ environment(X364)
| ~ in_environment(X364,sk2)
| ~ subpopulation(efficient_producers,X364,sk2)
| growth_rate(efficient_producers,sk2) = zero
| increases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,status(thm),[c57,c119]) ).
cnf(c626,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| growth_rate(efficient_producers,sk2) = zero
| increases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,status(thm),[c134,c23]) ).
cnf(c23699,plain,
( ~ environment(sk1)
| growth_rate(efficient_producers,sk2) = zero
| increases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,status(thm),[c626,c19]) ).
cnf(c23787,plain,
( growth_rate(efficient_producers,sk2) = zero
| increases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,status(thm),[c23699,prove_l7_47]) ).
cnf(c23844,plain,
( increases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| growth_rate(first_movers,sk2) != zero ),
inference(resolution,status(thm),[c23787,prove_l7_50]) ).
cnf(c23974,plain,
( increases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,status(thm),[c23844,c7710]) ).
cnf(c23975,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| ~ environment(X1589)
| ~ in_environment(X1589,sk2)
| ~ subpopulation(first_movers,X1589,sk2)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolution,status(thm),[c23974,c59]) ).
cnf(c24238,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolution,status(thm),[c23975,c27]) ).
cnf(c24239,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| ~ environment(sk1)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolution,status(thm),[c24238,c19]) ).
cnf(c24240,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolution,status(thm),[c24239,prove_l7_47]) ).
cnf(c24330,plain,
decreases(cardinality_at_time(first_movers,sk2)),
inference(resolution,status(thm),[c24240,c22089]) ).
cnf(c24332,plain,
( ~ environment(X1590)
| ~ in_environment(X1590,sk2)
| ~ subpopulation(first_movers,X1590,sk2)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,status(thm),[c24330,c63]) ).
cnf(c24333,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,status(thm),[c24332,c27]) ).
cnf(c24334,plain,
( ~ environment(sk1)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,status(thm),[c24333,c19]) ).
cnf(c24335,plain,
greater(zero,growth_rate(first_movers,sk2)),
inference(resolution,status(thm),[c24334,prove_l7_47]) ).
cnf(c24423,plain,
~ greater(growth_rate(efficient_producers,sk2),zero),
inference(resolution,status(thm),[c24335,prove_l7_52]) ).
cnf(c24425,plain,
$false,
inference(resolution,status(thm),[c24423,c21993]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : MGT025-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n027.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 10:22:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 11.25/11.43 # Version: 1.3
% 11.25/11.43 # SZS status Unsatisfiable
% 11.25/11.43 # SZS output start CNFRefutation
% See solution above
% 11.25/11.44
% 11.25/11.44 # Initial clauses : 41
% 11.25/11.44 # Processed clauses : 880
% 11.25/11.44 # Factors computed : 0
% 11.25/11.44 # Resolvents computed: 24414
% 11.25/11.44 # Tautologies deleted: 7
% 11.25/11.44 # Forward subsumed : 459
% 11.25/11.44 # Backward subsumed : 395
% 11.25/11.44 # -------- CPU Time ---------
% 11.25/11.44 # User time : 11.000 s
% 11.25/11.44 # System time : 0.094 s
% 11.25/11.44 # Total time : 11.094 s
%------------------------------------------------------------------------------