TSTP Solution File: MGT023-2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : MGT023-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 22:23:20 EDT 2022
% Result : Unsatisfiable 1.10s 1.31s
% Output : Refutation 1.10s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_l5_35,negated_conjecture,
~ in_environment(sk5,critical_point(sk5)),
input ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(c7,plain,
( X37 != X38
| X39 != X36
| ~ in_environment(X37,X39)
| in_environment(X38,X36) ),
eq_axiom ).
cnf(prove_l5_33,negated_conjecture,
environment(sk5),
input ).
cnf(prove_l5_34,negated_conjecture,
stable(sk5),
input ).
cnf(l1_31,plain,
( ~ environment(X16)
| ~ stable(X16)
| in_environment(X16,sk4(X16)) ),
input ).
cnf(c15,plain,
( ~ environment(sk5)
| in_environment(sk5,sk4(sk5)) ),
inference(resolution,status(thm),[l1_31,prove_l5_34]) ).
cnf(c20,plain,
in_environment(sk5,sk4(sk5)),
inference(resolution,status(thm),[c15,prove_l5_33]) ).
cnf(mp_earliest_time_growth_rate_exceeds_25,axiom,
( ~ environment(X81)
| ~ in_environment(X81,X82)
| ~ greater(growth_rate(efficient_producers,sk1(X82,X81)),growth_rate(first_movers,sk1(X82,X81)))
| in_environment(X81,sk2(X81)) ),
input ).
cnf(mp_earliest_time_growth_rate_exceeds_20,axiom,
( ~ environment(X14)
| ~ in_environment(X14,X15)
| greater_or_equal(sk1(X15,X14),X15)
| in_environment(X14,sk2(X14)) ),
input ).
cnf(c21,plain,
( ~ environment(sk5)
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(resolution,status(thm),[c20,mp_earliest_time_growth_rate_exceeds_20]) ).
cnf(c32,plain,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(resolution,status(thm),[c21,prove_l5_33]) ).
cnf(mp_earliest_time_growth_rate_exceeds_19,axiom,
( ~ environment(X5)
| ~ in_environment(X5,X6)
| subpopulations(first_movers,efficient_producers,X5,sk1(X6,X5))
| in_environment(X5,sk2(X5)) ),
input ).
cnf(c22,plain,
( ~ environment(sk5)
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(resolution,status(thm),[c20,mp_earliest_time_growth_rate_exceeds_19]) ).
cnf(c37,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(resolution,status(thm),[c22,prove_l5_33]) ).
cnf(l1_32,plain,
( ~ environment(X106)
| ~ stable(X106)
| ~ subpopulations(first_movers,efficient_producers,X106,X107)
| ~ greater_or_equal(X107,sk4(X106))
| greater(growth_rate(efficient_producers,X107),growth_rate(first_movers,X107)) ),
input ).
cnf(c51,plain,
( ~ environment(sk5)
| ~ stable(sk5)
| ~ greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| in_environment(sk5,sk2(sk5)) ),
inference(resolution,status(thm),[l1_32,c37]) ).
cnf(c111,plain,
( ~ environment(sk5)
| ~ stable(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| in_environment(sk5,sk2(sk5)) ),
inference(resolution,status(thm),[c51,c32]) ).
cnf(c112,plain,
( ~ environment(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| in_environment(sk5,sk2(sk5)) ),
inference(resolution,status(thm),[c111,prove_l5_34]) ).
cnf(c113,plain,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| in_environment(sk5,sk2(sk5)) ),
inference(resolution,status(thm),[c112,prove_l5_33]) ).
cnf(c115,plain,
( in_environment(sk5,sk2(sk5))
| ~ environment(sk5)
| ~ in_environment(sk5,sk4(sk5)) ),
inference(resolution,status(thm),[c113,mp_earliest_time_growth_rate_exceeds_25]) ).
cnf(c123,plain,
( in_environment(sk5,sk2(sk5))
| ~ environment(sk5) ),
inference(resolution,status(thm),[c115,c20]) ).
cnf(c124,plain,
in_environment(sk5,sk2(sk5)),
inference(resolution,status(thm),[c123,prove_l5_33]) ).
cnf(c129,plain,
( sk5 != X135
| sk2(sk5) != X134
| in_environment(X135,X134) ),
inference(resolution,status(thm),[c124,c7]) ).
cnf(mp_earliest_time_growth_rate_exceeds_26,axiom,
( ~ environment(X93)
| ~ in_environment(X93,X94)
| ~ greater(growth_rate(efficient_producers,sk1(X94,X93)),growth_rate(first_movers,sk1(X94,X93)))
| ~ greater(growth_rate(efficient_producers,sk2(X93)),growth_rate(first_movers,sk2(X93))) ),
input ).
cnf(mp_earliest_time_growth_rate_exceeds_23,axiom,
( ~ environment(X50)
| ~ in_environment(X50,X51)
| greater_or_equal(sk1(X51,X50),X51)
| ~ greater(growth_rate(efficient_producers,sk2(X50)),growth_rate(first_movers,sk2(X50))) ),
input ).
cnf(d1_30,plain,
( ~ environment(X120)
| greater(growth_rate(efficient_producers,X121),growth_rate(first_movers,X121))
| ~ in_environment(X120,X121)
| ~ greater(growth_rate(efficient_producers,sk3(X121,X120)),growth_rate(first_movers,sk3(X121,X120)))
| X121 = critical_point(X120) ),
input ).
cnf(d1_29,plain,
( ~ environment(X104)
| greater(growth_rate(efficient_producers,X105),growth_rate(first_movers,X105))
| ~ in_environment(X104,X105)
| greater(sk3(X105,X104),X105)
| X105 = critical_point(X104) ),
input ).
cnf(c128,plain,
( ~ environment(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| sk2(sk5) = critical_point(sk5) ),
inference(resolution,status(thm),[c124,d1_29]) ).
cnf(c173,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| sk2(sk5) = critical_point(sk5) ),
inference(resolution,status(thm),[c128,prove_l5_33]) ).
cnf(c190,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| sk5 != X182
| in_environment(X182,critical_point(sk5)) ),
inference(resolution,status(thm),[c173,c129]) ).
cnf(c316,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| in_environment(sk5,critical_point(sk5)) ),
inference(resolution,status(thm),[c190,reflexivity]) ).
cnf(c327,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5)) ),
inference(resolution,status(thm),[c316,prove_l5_35]) ).
cnf(c176,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| sk2(sk5) = critical_point(sk5)
| ~ environment(sk5)
| ~ in_environment(sk5,X147)
| greater_or_equal(sk1(X147,sk5),X147) ),
inference(resolution,status(thm),[c173,mp_earliest_time_growth_rate_exceeds_23]) ).
cnf(c192,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| sk2(sk5) = critical_point(sk5)
| ~ environment(sk5)
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(resolution,status(thm),[c176,c20]) ).
cnf(c213,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| sk2(sk5) = critical_point(sk5)
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(resolution,status(thm),[c192,prove_l5_33]) ).
cnf(c227,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| sk5 != X150
| in_environment(X150,critical_point(sk5)) ),
inference(resolution,status(thm),[c213,c129]) ).
cnf(c245,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| in_environment(sk5,critical_point(sk5)) ),
inference(resolution,status(thm),[c227,reflexivity]) ).
cnf(c254,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(resolution,status(thm),[c245,prove_l5_35]) ).
cnf(mp_earliest_time_growth_rate_exceeds_21,axiom,
( ~ environment(X25)
| ~ in_environment(X25,X26)
| subpopulations(first_movers,efficient_producers,X25,sk1(X26,X25))
| ~ greater(growth_rate(efficient_producers,sk2(X25)),growth_rate(first_movers,sk2(X25))) ),
input ).
cnf(c330,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| ~ environment(sk5)
| ~ in_environment(sk5,X186)
| subpopulations(first_movers,efficient_producers,sk5,sk1(X186,sk5)) ),
inference(resolution,status(thm),[c327,mp_earliest_time_growth_rate_exceeds_21]) ).
cnf(c335,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| ~ environment(sk5)
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)) ),
inference(resolution,status(thm),[c330,c20]) ).
cnf(c337,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)) ),
inference(resolution,status(thm),[c335,prove_l5_33]) ).
cnf(c342,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| ~ environment(sk5)
| ~ stable(sk5)
| ~ greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolution,status(thm),[c337,l1_32]) ).
cnf(c656,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| ~ environment(sk5)
| ~ stable(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolution,status(thm),[c342,c254]) ).
cnf(c658,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| ~ environment(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolution,status(thm),[c656,prove_l5_34]) ).
cnf(c659,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolution,status(thm),[c658,prove_l5_33]) ).
cnf(c661,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| ~ environment(sk5)
| ~ in_environment(sk5,sk4(sk5))
| ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolution,status(thm),[c659,mp_earliest_time_growth_rate_exceeds_26]) ).
cnf(c666,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| ~ environment(sk5)
| ~ in_environment(sk5,sk4(sk5)) ),
inference(resolution,status(thm),[c661,c327]) ).
cnf(c667,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| ~ environment(sk5) ),
inference(resolution,status(thm),[c666,c20]) ).
cnf(c668,plain,
greater(sk3(sk2(sk5),sk5),sk2(sk5)),
inference(resolution,status(thm),[c667,prove_l5_33]) ).
cnf(mp_earliest_time_growth_rate_exceeds_24,axiom,
( ~ environment(X63)
| ~ in_environment(X63,X64)
| greater_or_equal(sk1(X64,X63),X64)
| ~ subpopulations(first_movers,efficient_producers,X63,X62)
| ~ greater(X62,sk2(X63))
| greater(growth_rate(efficient_producers,X62),growth_rate(first_movers,X62)) ),
input ).
cnf(d1_28,plain,
( ~ environment(X110)
| greater(growth_rate(efficient_producers,X111),growth_rate(first_movers,X111))
| ~ in_environment(X110,X111)
| subpopulations(first_movers,efficient_producers,X110,sk3(X111,X110))
| X111 = critical_point(X110) ),
input ).
cnf(c130,plain,
( ~ environment(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| sk2(sk5) = critical_point(sk5) ),
inference(resolution,status(thm),[c124,d1_28]) ).
cnf(c386,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| sk2(sk5) = critical_point(sk5) ),
inference(resolution,status(thm),[c130,prove_l5_33]) ).
cnf(c411,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| sk5 != X307
| in_environment(X307,critical_point(sk5)) ),
inference(resolution,status(thm),[c386,c129]) ).
cnf(c574,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| in_environment(sk5,critical_point(sk5)) ),
inference(resolution,status(thm),[c411,reflexivity]) ).
cnf(c590,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)) ),
inference(resolution,status(thm),[c574,prove_l5_35]) ).
cnf(c389,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| sk2(sk5) = critical_point(sk5)
| ~ environment(sk5)
| ~ in_environment(sk5,X281)
| greater_or_equal(sk1(X281,sk5),X281) ),
inference(resolution,status(thm),[c386,mp_earliest_time_growth_rate_exceeds_23]) ).
cnf(c414,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| sk2(sk5) = critical_point(sk5)
| ~ environment(sk5)
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(resolution,status(thm),[c389,c20]) ).
cnf(c438,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| sk2(sk5) = critical_point(sk5)
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(resolution,status(thm),[c414,prove_l5_33]) ).
cnf(c460,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| sk5 != X283
| in_environment(X283,critical_point(sk5)) ),
inference(resolution,status(thm),[c438,c129]) ).
cnf(c482,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| in_environment(sk5,critical_point(sk5)) ),
inference(resolution,status(thm),[c460,reflexivity]) ).
cnf(c496,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(resolution,status(thm),[c482,prove_l5_35]) ).
cnf(c593,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| ~ environment(sk5)
| ~ in_environment(sk5,X310)
| subpopulations(first_movers,efficient_producers,sk5,sk1(X310,sk5)) ),
inference(resolution,status(thm),[c590,mp_earliest_time_growth_rate_exceeds_21]) ).
cnf(c601,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| ~ environment(sk5)
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)) ),
inference(resolution,status(thm),[c593,c20]) ).
cnf(c603,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)) ),
inference(resolution,status(thm),[c601,prove_l5_33]) ).
cnf(c611,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| ~ environment(sk5)
| ~ stable(sk5)
| ~ greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolution,status(thm),[c603,l1_32]) ).
cnf(c672,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| ~ environment(sk5)
| ~ stable(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolution,status(thm),[c611,c496]) ).
cnf(c673,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| ~ environment(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolution,status(thm),[c672,prove_l5_34]) ).
cnf(c674,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolution,status(thm),[c673,prove_l5_33]) ).
cnf(c679,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| ~ environment(sk5)
| ~ in_environment(sk5,sk4(sk5))
| ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolution,status(thm),[c674,mp_earliest_time_growth_rate_exceeds_26]) ).
cnf(c683,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| ~ environment(sk5)
| ~ in_environment(sk5,sk4(sk5)) ),
inference(resolution,status(thm),[c679,c590]) ).
cnf(c684,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| ~ environment(sk5) ),
inference(resolution,status(thm),[c683,c20]) ).
cnf(c685,plain,
subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)),
inference(resolution,status(thm),[c684,prove_l5_33]) ).
cnf(c688,plain,
( ~ environment(sk5)
| ~ in_environment(sk5,X634)
| greater_or_equal(sk1(X634,sk5),X634)
| ~ greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))) ),
inference(resolution,status(thm),[c685,mp_earliest_time_growth_rate_exceeds_24]) ).
cnf(c694,plain,
( ~ environment(sk5)
| ~ in_environment(sk5,X635)
| greater_or_equal(sk1(X635,sk5),X635)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))) ),
inference(resolution,status(thm),[c688,c668]) ).
cnf(c695,plain,
( ~ environment(sk5)
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))) ),
inference(resolution,status(thm),[c694,c20]) ).
cnf(c697,plain,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))) ),
inference(resolution,status(thm),[c695,prove_l5_33]) ).
cnf(c699,plain,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| ~ environment(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ in_environment(sk5,sk2(sk5))
| sk2(sk5) = critical_point(sk5) ),
inference(resolution,status(thm),[c697,d1_30]) ).
cnf(c713,plain,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| ~ environment(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| sk2(sk5) = critical_point(sk5) ),
inference(resolution,status(thm),[c699,c124]) ).
cnf(c714,plain,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| sk2(sk5) = critical_point(sk5) ),
inference(resolution,status(thm),[c713,prove_l5_33]) ).
cnf(c718,plain,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| sk2(sk5) = critical_point(sk5)
| ~ environment(sk5)
| ~ in_environment(sk5,X650)
| greater_or_equal(sk1(X650,sk5),X650) ),
inference(resolution,status(thm),[c714,mp_earliest_time_growth_rate_exceeds_23]) ).
cnf(c735,plain,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| sk2(sk5) = critical_point(sk5)
| ~ environment(sk5) ),
inference(resolution,status(thm),[c718,c20]) ).
cnf(c738,plain,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| sk2(sk5) = critical_point(sk5) ),
inference(resolution,status(thm),[c735,prove_l5_33]) ).
cnf(c745,plain,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| sk5 != X653
| in_environment(X653,critical_point(sk5)) ),
inference(resolution,status(thm),[c738,c129]) ).
cnf(c770,plain,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| in_environment(sk5,critical_point(sk5)) ),
inference(resolution,status(thm),[c745,reflexivity]) ).
cnf(c777,plain,
greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)),
inference(resolution,status(thm),[c770,prove_l5_35]) ).
cnf(mp_earliest_time_growth_rate_exceeds_22,axiom,
( ~ environment(X34)
| ~ in_environment(X34,X35)
| subpopulations(first_movers,efficient_producers,X34,sk1(X35,X34))
| ~ subpopulations(first_movers,efficient_producers,X34,X33)
| ~ greater(X33,sk2(X34))
| greater(growth_rate(efficient_producers,X33),growth_rate(first_movers,X33)) ),
input ).
cnf(c687,plain,
( ~ environment(sk5)
| ~ in_environment(sk5,X770)
| subpopulations(first_movers,efficient_producers,sk5,sk1(X770,sk5))
| ~ greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))) ),
inference(resolution,status(thm),[c685,mp_earliest_time_growth_rate_exceeds_22]) ).
cnf(c851,plain,
( ~ environment(sk5)
| ~ in_environment(sk5,X771)
| subpopulations(first_movers,efficient_producers,sk5,sk1(X771,sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))) ),
inference(resolution,status(thm),[c687,c668]) ).
cnf(c852,plain,
( ~ environment(sk5)
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))) ),
inference(resolution,status(thm),[c851,c20]) ).
cnf(c854,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))) ),
inference(resolution,status(thm),[c852,prove_l5_33]) ).
cnf(c859,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| ~ environment(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ in_environment(sk5,sk2(sk5))
| sk2(sk5) = critical_point(sk5) ),
inference(resolution,status(thm),[c854,d1_30]) ).
cnf(c872,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| ~ environment(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| sk2(sk5) = critical_point(sk5) ),
inference(resolution,status(thm),[c859,c124]) ).
cnf(c873,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| sk2(sk5) = critical_point(sk5) ),
inference(resolution,status(thm),[c872,prove_l5_33]) ).
cnf(c887,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| sk5 != X782
| in_environment(X782,critical_point(sk5)) ),
inference(resolution,status(thm),[c873,c129]) ).
cnf(c921,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| in_environment(sk5,critical_point(sk5)) ),
inference(resolution,status(thm),[c887,reflexivity]) ).
cnf(c937,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolution,status(thm),[c921,prove_l5_35]) ).
cnf(c944,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| ~ environment(sk5)
| ~ in_environment(sk5,X785)
| subpopulations(first_movers,efficient_producers,sk5,sk1(X785,sk5)) ),
inference(resolution,status(thm),[c937,mp_earliest_time_growth_rate_exceeds_21]) ).
cnf(c948,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| ~ environment(sk5) ),
inference(resolution,status(thm),[c944,c20]) ).
cnf(c950,plain,
subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)),
inference(resolution,status(thm),[c948,prove_l5_33]) ).
cnf(c954,plain,
( ~ environment(sk5)
| ~ stable(sk5)
| ~ greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolution,status(thm),[c950,l1_32]) ).
cnf(c959,plain,
( ~ environment(sk5)
| ~ stable(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolution,status(thm),[c954,c777]) ).
cnf(c960,plain,
( ~ environment(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolution,status(thm),[c959,prove_l5_34]) ).
cnf(c961,plain,
greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))),
inference(resolution,status(thm),[c960,prove_l5_33]) ).
cnf(c962,plain,
( ~ environment(sk5)
| ~ in_environment(sk5,sk4(sk5))
| ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolution,status(thm),[c961,mp_earliest_time_growth_rate_exceeds_26]) ).
cnf(mp_earliest_time_growth_rate_exceeds_27,axiom,
( ~ environment(X101)
| ~ in_environment(X101,X102)
| ~ greater(growth_rate(efficient_producers,sk1(X102,X101)),growth_rate(first_movers,sk1(X102,X101)))
| ~ subpopulations(first_movers,efficient_producers,X101,X100)
| ~ greater(X100,sk2(X101))
| greater(growth_rate(efficient_producers,X100),growth_rate(first_movers,X100)) ),
input ).
cnf(c964,plain,
( ~ environment(sk5)
| ~ in_environment(sk5,sk4(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,X809)
| ~ greater(X809,sk2(sk5))
| greater(growth_rate(efficient_producers,X809),growth_rate(first_movers,X809)) ),
inference(resolution,status(thm),[c961,mp_earliest_time_growth_rate_exceeds_27]) ).
cnf(c971,plain,
( ~ environment(sk5)
| ~ in_environment(sk5,sk4(sk5))
| ~ greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))) ),
inference(resolution,status(thm),[c964,c685]) ).
cnf(c972,plain,
( ~ environment(sk5)
| ~ in_environment(sk5,sk4(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))) ),
inference(resolution,status(thm),[c971,c668]) ).
cnf(c973,plain,
( ~ environment(sk5)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))) ),
inference(resolution,status(thm),[c972,c20]) ).
cnf(c974,plain,
greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))),
inference(resolution,status(thm),[c973,prove_l5_33]) ).
cnf(c975,plain,
( ~ environment(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ in_environment(sk5,sk2(sk5))
| sk2(sk5) = critical_point(sk5) ),
inference(resolution,status(thm),[c974,d1_30]) ).
cnf(c979,plain,
( ~ environment(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| sk2(sk5) = critical_point(sk5) ),
inference(resolution,status(thm),[c975,c124]) ).
cnf(c980,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| sk2(sk5) = critical_point(sk5) ),
inference(resolution,status(thm),[c979,prove_l5_33]) ).
cnf(c983,plain,
( sk2(sk5) = critical_point(sk5)
| ~ environment(sk5)
| ~ in_environment(sk5,sk4(sk5)) ),
inference(resolution,status(thm),[c980,c962]) ).
cnf(c1001,plain,
( sk2(sk5) = critical_point(sk5)
| ~ environment(sk5) ),
inference(resolution,status(thm),[c983,c20]) ).
cnf(c1002,plain,
sk2(sk5) = critical_point(sk5),
inference(resolution,status(thm),[c1001,prove_l5_33]) ).
cnf(c1009,plain,
( sk5 != X836
| in_environment(X836,critical_point(sk5)) ),
inference(resolution,status(thm),[c1002,c129]) ).
cnf(c1032,plain,
in_environment(sk5,critical_point(sk5)),
inference(resolution,status(thm),[c1009,reflexivity]) ).
cnf(c1036,plain,
$false,
inference(resolution,status(thm),[c1032,prove_l5_35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT023-2 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 9 10:01:32 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.10/1.31 # Version: 1.3
% 1.10/1.31 # SZS status Unsatisfiable
% 1.10/1.31 # SZS output start CNFRefutation
% See solution above
% 1.10/1.31
% 1.10/1.31 # Initial clauses : 32
% 1.10/1.31 # Processed clauses : 344
% 1.10/1.31 # Factors computed : 0
% 1.10/1.31 # Resolvents computed: 1027
% 1.10/1.31 # Tautologies deleted: 3
% 1.10/1.31 # Forward subsumed : 604
% 1.10/1.31 # Backward subsumed : 256
% 1.10/1.31 # -------- CPU Time ---------
% 1.10/1.31 # User time : 0.955 s
% 1.10/1.31 # System time : 0.015 s
% 1.10/1.31 # Total time : 0.970 s
%------------------------------------------------------------------------------