%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : MGT023+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %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 22:25:51 EDT 2022
% Result : Theorem 15.81s 15.98s
% Output : Refutation 15.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT023+2 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n026.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 10:29:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 ----- Otter 3.2, August 2001 -----
% 0.13/0.35 The process was started by sandbox2 on n026.cluster.edu,
% 0.13/0.35 Thu Jun 9 10:29:48 2022
% 0.13/0.35 The command was "./sos". The process ID is 18058.
% 0.13/0.35
% 0.13/0.35 set(prolog_style_variables).
% 0.13/0.35 set(auto).
% 0.13/0.35 dependent: set(auto1).
% 0.13/0.35 dependent: set(process_input).
% 0.13/0.35 dependent: clear(print_kept).
% 0.13/0.35 dependent: clear(print_new_demod).
% 0.13/0.35 dependent: clear(print_back_demod).
% 0.13/0.35 dependent: clear(print_back_sub).
% 0.13/0.35 dependent: set(control_memory).
% 0.13/0.35 dependent: assign(max_mem, 12000).
% 0.13/0.35 dependent: assign(pick_given_ratio, 4).
% 0.13/0.35 dependent: assign(stats_level, 1).
% 0.13/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35 dependent: assign(sos_limit, 5000).
% 0.13/0.35 dependent: assign(max_weight, 60).
% 0.13/0.35 clear(print_given).
% 0.13/0.35
% 0.13/0.35 formula_list(usable).
% 0.13/0.35
% 0.13/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.13/0.35
% 0.13/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.35 clauses in usable.
% 0.13/0.35
% 0.13/0.35 dependent: set(knuth_bendix).
% 0.13/0.35 dependent: set(para_from).
% 0.13/0.35 dependent: set(para_into).
% 0.13/0.35 dependent: clear(para_from_right).
% 0.13/0.35 dependent: clear(para_into_right).
% 0.13/0.35 dependent: set(para_from_vars).
% 0.13/0.35 dependent: set(eq_units_both_ways).
% 0.13/0.35 dependent: set(dynamic_demod_all).
% 0.13/0.35 dependent: set(dynamic_demod).
% 0.13/0.35 dependent: set(order_eq).
% 0.13/0.35 dependent: set(back_demod).
% 0.13/0.35 dependent: set(lrpo).
% 0.13/0.35 dependent: set(hyper_res).
% 0.13/0.35 dependent: set(unit_deletion).
% 0.13/0.35 dependent: set(factor).
% 0.13/0.35
% 0.13/0.35 ------------> process usable:
% 0.13/0.35
% 0.13/0.35 ------------> process sos:
% 0.13/0.35 Following clause subsumed by 18 during input processing: 0 [copy,18,flip.1] {-} A=A.
% 0.13/0.35
% 0.13/0.35 ======= end of input processing =======
% 0.37/0.55
% 0.37/0.55 Stopped by limit on insertions
% 0.37/0.55
% 0.37/0.55
% 0.37/0.55 Failed to model usable list: disabling FINDER
% 0.37/0.55
% 0.37/0.55
% 0.37/0.55
% 0.37/0.55 -------------- Softie stats --------------
% 0.37/0.55
% 0.37/0.55 UPDATE_STOP: 300
% 0.37/0.55 SFINDER_TIME_LIMIT: 2
% 0.37/0.55 SHORT_CLAUSE_CUTOFF: 4
% 0.37/0.55 number of clauses in intial UL: 15
% 0.37/0.55 number of clauses initially in problem: 18
% 0.37/0.55 percentage of clauses intially in UL: 83
% 0.37/0.55 percentage of distinct symbols occuring in initial UL: 100
% 0.37/0.55 percent of all initial clauses that are short: 94
% 0.37/0.55 absolute distinct symbol count: 16
% 0.37/0.55 distinct predicate count: 7
% 0.37/0.55 distinct function count: 6
% 0.37/0.55 distinct constant count: 3
% 0.37/0.55
% 0.37/0.55 ---------- no more Softie stats ----------
% 0.37/0.55
% 0.37/0.55
% 0.37/0.55
% 0.37/0.55 =========== start of search ===========
% 8.09/8.26
% 8.09/8.26
% 8.09/8.26 Changing weight limit from 60 to 58.
% 8.09/8.26
% 8.09/8.26 Resetting weight limit to 58 after 120 givens.
% 8.09/8.26
% 9.61/9.78
% 9.61/9.78
% 9.61/9.78 Changing weight limit from 58 to 57.
% 9.61/9.78
% 9.61/9.78 Resetting weight limit to 57 after 125 givens.
% 9.61/9.78
% 10.88/11.12
% 10.88/11.12
% 10.88/11.12 Changing weight limit from 57 to 55.
% 10.88/11.12
% 10.88/11.12 Resetting weight limit to 55 after 130 givens.
% 10.88/11.12
% 13.42/13.64
% 13.42/13.64
% 13.42/13.64 Changing weight limit from 55 to 54.
% 13.42/13.64
% 13.42/13.64 Resetting weight limit to 54 after 150 givens.
% 13.42/13.64
% 15.81/15.98
% 15.81/15.98 -- HEY sandbox2, WE HAVE A PROOF!! --
% 15.81/15.98
% 15.81/15.98 -----> EMPTY CLAUSE at 15.60 sec ----> 8259 [hyper,8224,8,16,22,8240] {-} $F.
% 15.81/15.98
% 15.81/15.98 Length of proof is 52. Level of proof is 30.
% 15.81/15.98
% 15.81/15.98 ---------------- PROOF ----------------
% 15.81/15.98 % SZS status Theorem
% 15.81/15.98 % SZS output start Refutation
% 15.81/15.98
% 15.81/15.98 1 [] {+} -environment(A)| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,$f1(A,B))|in_environment(A,$f2(A)).
% 15.81/15.98 2 [] {+} -environment(A)| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,$f1(A,B))| -greater(growth_rate(efficient_producers,$f2(A)),growth_rate(first_movers,$f2(A))).
% 15.81/15.98 3 [] {+} -environment(A)| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,$f1(A,B))| -subpopulations(first_movers,efficient_producers,A,C)| -greater(C,$f2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)).
% 15.81/15.98 4 [] {+} -environment(A)| -in_environment(A,B)|greater_or_equal($f1(A,B),B)|in_environment(A,$f2(A)).
% 15.81/15.98 5 [] {+} -environment(A)| -in_environment(A,B)|greater_or_equal($f1(A,B),B)| -greater(growth_rate(efficient_producers,$f2(A)),growth_rate(first_movers,$f2(A))).
% 15.81/15.98 6 [] {+} -environment(A)| -in_environment(A,B)|greater_or_equal($f1(A,B),B)| -subpopulations(first_movers,efficient_producers,A,C)| -greater(C,$f2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)).
% 15.81/15.98 7 [] {+} -environment(A)| -in_environment(A,B)| -greater(growth_rate(efficient_producers,$f1(A,B)),growth_rate(first_movers,$f1(A,B)))|in_environment(A,$f2(A)).
% 15.81/15.98 8 [] {+} -environment(A)| -in_environment(A,B)| -greater(growth_rate(efficient_producers,$f1(A,B)),growth_rate(first_movers,$f1(A,B)))| -greater(growth_rate(efficient_producers,$f2(A)),growth_rate(first_movers,$f2(A))).
% 15.81/15.98 9 [] {+} -environment(A)| -in_environment(A,B)| -greater(growth_rate(efficient_producers,$f1(A,B)),growth_rate(first_movers,$f1(A,B)))| -subpopulations(first_movers,efficient_producers,A,C)| -greater(C,$f2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)).
% 15.81/15.98 10 [] {+} -environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,$f3(A,B))|B=critical_point(A).
% 15.81/15.98 11 [] {+} -environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| -in_environment(A,B)|greater($f3(A,B),B)|B=critical_point(A).
% 15.81/15.98 12 [] {+} -environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| -in_environment(A,B)| -greater(growth_rate(efficient_producers,$f3(A,B)),growth_rate(first_movers,$f3(A,B)))|B=critical_point(A).
% 15.81/15.98 13 [] {+} -environment(A)| -stable(A)|in_environment(A,$f4(A)).
% 15.81/15.98 14 [] {+} -environment(A)| -stable(A)| -subpopulations(first_movers,efficient_producers,A,B)| -greater_or_equal(B,$f4(A))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)).
% 15.81/15.98 15 [] {+} -in_environment($c1,critical_point($c1)).
% 15.81/15.98 16 [] {-} environment($c1).
% 15.81/15.98 17 [] {-} stable($c1).
% 15.81/15.98 22 [hyper,17,13,16] {-} in_environment($c1,$f4($c1)).
% 15.81/15.98 28 [hyper,22,4,16] {-} greater_or_equal($f1($c1,$f4($c1)),$f4($c1))|in_environment($c1,$f2($c1)).
% 15.81/15.98 29 [hyper,22,1,16] {-} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f4($c1)))|in_environment($c1,$f2($c1)).
% 15.81/15.98 39 [hyper,28,11,16,flip.4] {-} greater_or_equal($f1($c1,$f4($c1)),$f4($c1))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|greater($f3($c1,$f2($c1)),$f2($c1))|critical_point($c1)=$f2($c1).
% 15.81/15.98 40 [hyper,28,10,16,flip.4] {-} greater_or_equal($f1($c1,$f4($c1)),$f4($c1))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|subpopulations(first_movers,efficient_producers,$c1,$f3($c1,$f2($c1)))|critical_point($c1)=$f2($c1).
% 15.81/15.98 65 [para_into,28.2.2,12.5.1] {-} greater_or_equal($f1($c1,$f4($c1)),$f4($c1))|in_environment($c1,critical_point(A))| -environment(A)|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))| -in_environment(A,$f2($c1))| -greater(growth_rate(efficient_producers,$f3(A,$f2($c1))),growth_rate(first_movers,$f3(A,$f2($c1)))).
% 15.81/15.98 136 [hyper,29,11,16,flip.4] {-} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f4($c1)))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|greater($f3($c1,$f2($c1)),$f2($c1))|critical_point($c1)=$f2($c1).
% 15.81/15.98 137 [hyper,29,10,16,flip.4] {-} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f4($c1)))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|subpopulations(first_movers,efficient_producers,$c1,$f3($c1,$f2($c1)))|critical_point($c1)=$f2($c1).
% 15.81/15.98 1280 [para_from,39.4.1,15.1.2] {-} -in_environment($c1,$f2($c1))|greater_or_equal($f1($c1,$f4($c1)),$f4($c1))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|greater($f3($c1,$f2($c1)),$f2($c1)).
% 15.81/15.98 1282 [hyper,1280,28,factor_simp] {-} greater_or_equal($f1($c1,$f4($c1)),$f4($c1))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|greater($f3($c1,$f2($c1)),$f2($c1)).
% 15.81/15.98 1412 [para_from,40.4.1,15.1.2] {-} -in_environment($c1,$f2($c1))|greater_or_equal($f1($c1,$f4($c1)),$f4($c1))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|subpopulations(first_movers,efficient_producers,$c1,$f3($c1,$f2($c1))).
% 15.81/15.98 1480 [hyper,1412,28,factor_simp] {-} greater_or_equal($f1($c1,$f4($c1)),$f4($c1))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|subpopulations(first_movers,efficient_producers,$c1,$f3($c1,$f2($c1))).
% 15.81/15.98 1946 [hyper,136,2,16,22,factor_simp] {-} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f4($c1)))|greater($f3($c1,$f2($c1)),$f2($c1))|critical_point($c1)=$f2($c1).
% 15.81/15.98 2085 [para_from,1946.3.1,15.1.2] {-} -in_environment($c1,$f2($c1))|subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f4($c1)))|greater($f3($c1,$f2($c1)),$f2($c1)).
% 15.81/15.98 2086 [hyper,2085,29,factor_simp] {-} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f4($c1)))|greater($f3($c1,$f2($c1)),$f2($c1)).
% 15.81/15.98 2748 [hyper,137,2,16,22,factor_simp] {-} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f4($c1)))|subpopulations(first_movers,efficient_producers,$c1,$f3($c1,$f2($c1)))|critical_point($c1)=$f2($c1).
% 15.81/15.98 2821 [para_from,2748.3.1,15.1.2] {-} -in_environment($c1,$f2($c1))|subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f4($c1)))|subpopulations(first_movers,efficient_producers,$c1,$f3($c1,$f2($c1))).
% 15.81/15.98 2877 [hyper,2821,29,factor_simp] {-} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f4($c1)))|subpopulations(first_movers,efficient_producers,$c1,$f3($c1,$f2($c1))).
% 15.81/15.98 2878 [hyper,2877,14,16,17,1480,factor_simp] {-} subpopulations(first_movers,efficient_producers,$c1,$f3($c1,$f2($c1)))|greater(growth_rate(efficient_producers,$f1($c1,$f4($c1))),growth_rate(first_movers,$f1($c1,$f4($c1))))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1))).
% 15.81/15.98 2882 [hyper,2877,3,16,22,2086,factor_simp,factor_simp] {-} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f4($c1)))|greater(growth_rate(efficient_producers,$f3($c1,$f2($c1))),growth_rate(first_movers,$f3($c1,$f2($c1)))).
% 15.81/15.98 2922 [hyper,2882,12,16,29,factor_simp] {-} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f4($c1)))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|critical_point($c1)=$f2($c1).
% 15.81/15.98 2975 [hyper,2922,2,16,22,factor_simp] {-} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f4($c1)))|critical_point($c1)=$f2($c1).
% 15.81/15.98 3098 [para_from,2975.2.1,15.1.2] {-} -in_environment($c1,$f2($c1))|subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f4($c1))).
% 15.81/15.98 3099 [hyper,3098,29,factor_simp] {-} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f4($c1))).
% 15.81/15.98 3100 [hyper,3099,14,16,17,1282] {-} greater(growth_rate(efficient_producers,$f1($c1,$f4($c1))),growth_rate(first_movers,$f1($c1,$f4($c1))))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|greater($f3($c1,$f2($c1)),$f2($c1)).
% 15.81/15.98 4249 [hyper,3100,7,16,22] {-} greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|greater($f3($c1,$f2($c1)),$f2($c1))|in_environment($c1,$f2($c1)).
% 15.81/15.98 4353 [para_into,4249.3.2,11.5.1,factor_simp] {-} greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|greater($f3($c1,$f2($c1)),$f2($c1))|in_environment($c1,critical_point(A))| -environment(A)| -in_environment(A,$f2($c1))|greater($f3(A,$f2($c1)),$f2($c1)).
% 15.81/15.98 4355 [factor,4353.2.6,unit_del,15,16] {-} greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|greater($f3($c1,$f2($c1)),$f2($c1))| -in_environment($c1,$f2($c1)).
% 15.81/15.98 4356 [hyper,4355,4249,factor_simp,factor_simp] {-} greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|greater($f3($c1,$f2($c1)),$f2($c1)).
% 15.81/15.98 4403 [hyper,4356,5,16,22] {-} greater($f3($c1,$f2($c1)),$f2($c1))|greater_or_equal($f1($c1,$f4($c1)),$f4($c1)).
% 15.81/15.98 4440 [hyper,4403,14,16,17,3099] {-} greater($f3($c1,$f2($c1)),$f2($c1))|greater(growth_rate(efficient_producers,$f1($c1,$f4($c1))),growth_rate(first_movers,$f1($c1,$f4($c1)))).
% 15.81/15.98 4468 [hyper,4440,8,16,22,4356,factor_simp] {-} greater($f3($c1,$f2($c1)),$f2($c1)).
% 15.81/15.98 7267 [hyper,2878,7,16,22] {-} subpopulations(first_movers,efficient_producers,$c1,$f3($c1,$f2($c1)))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|in_environment($c1,$f2($c1)).
% 15.81/15.98 7370 [para_into,7267.3.2,10.5.1,factor_simp] {-} subpopulations(first_movers,efficient_producers,$c1,$f3($c1,$f2($c1)))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|in_environment($c1,critical_point(A))| -environment(A)| -in_environment(A,$f2($c1))|subpopulations(first_movers,efficient_producers,A,$f3(A,$f2($c1))).
% 15.81/15.98 7371 [factor,7370.1.6,unit_del,15,16] {-} subpopulations(first_movers,efficient_producers,$c1,$f3($c1,$f2($c1)))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))| -in_environment($c1,$f2($c1)).
% 15.81/15.98 7372 [hyper,7371,7267,factor_simp,factor_simp] {-} subpopulations(first_movers,efficient_producers,$c1,$f3($c1,$f2($c1)))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1))).
% 15.81/15.98 7374 [hyper,7372,5,16,22] {-} subpopulations(first_movers,efficient_producers,$c1,$f3($c1,$f2($c1)))|greater_or_equal($f1($c1,$f4($c1)),$f4($c1)).
% 15.81/15.98 7452 [hyper,7374,14,16,17,3099] {-} subpopulations(first_movers,efficient_producers,$c1,$f3($c1,$f2($c1)))|greater(growth_rate(efficient_producers,$f1($c1,$f4($c1))),growth_rate(first_movers,$f1($c1,$f4($c1)))).
% 15.81/15.98 7486 [hyper,7452,8,16,22,7372,factor_simp] {-} subpopulations(first_movers,efficient_producers,$c1,$f3($c1,$f2($c1))).
% 15.81/15.98 7488 [hyper,7486,6,16,22,4468] {-} greater_or_equal($f1($c1,$f4($c1)),$f4($c1))|greater(growth_rate(efficient_producers,$f3($c1,$f2($c1))),growth_rate(first_movers,$f3($c1,$f2($c1)))).
% 15.81/15.98 7507 [hyper,7488,14,16,17,3099] {-} greater(growth_rate(efficient_producers,$f3($c1,$f2($c1))),growth_rate(first_movers,$f3($c1,$f2($c1))))|greater(growth_rate(efficient_producers,$f1($c1,$f4($c1))),growth_rate(first_movers,$f1($c1,$f4($c1)))).
% 15.81/15.98 7843 [hyper,7507,9,16,22,7486,4468,factor_simp] {-} greater(growth_rate(efficient_producers,$f3($c1,$f2($c1))),growth_rate(first_movers,$f3($c1,$f2($c1)))).
% 15.81/15.98 7844 [hyper,7843,65,16,28,unit_del,15,factor_simp] {-} greater_or_equal($f1($c1,$f4($c1)),$f4($c1))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1))).
% 15.81/15.98 7873 [hyper,7844,14,16,17,3099] {-} greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|greater(growth_rate(efficient_producers,$f1($c1,$f4($c1))),growth_rate(first_movers,$f1($c1,$f4($c1)))).
% 15.81/15.98 7909 [hyper,7873,7,16,22] {-} greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|in_environment($c1,$f2($c1)).
% 15.81/15.98 7950 [hyper,7909,12,16,7843,factor_simp] {-} greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|critical_point($c1)=$f2($c1).
% 15.81/15.98 7979 [hyper,7950,5,16,22] {-} critical_point($c1)=$f2($c1)|greater_or_equal($f1($c1,$f4($c1)),$f4($c1)).
% 15.81/15.98 8092 [para_from,7950.2.1,15.1.2] {-} -in_environment($c1,$f2($c1))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1))).
% 15.81/15.98 8222 [para_from,7979.1.1,15.1.2] {-} -in_environment($c1,$f2($c1))|greater_or_equal($f1($c1,$f4($c1)),$f4($c1)).
% 15.81/15.98 8223 [hyper,8222,28,factor_simp] {-} greater_or_equal($f1($c1,$f4($c1)),$f4($c1)).
% 15.81/15.98 8224 [hyper,8223,14,16,17,3099] {-} greater(growth_rate(efficient_producers,$f1($c1,$f4($c1))),growth_rate(first_movers,$f1($c1,$f4($c1)))).
% 15.81/15.98 8240 [hyper,8092,7909,factor_simp] {-} greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1))).
% 15.81/15.98 8259 [hyper,8224,8,16,22,8240] {-} $F.
% 15.81/15.98
% 15.81/15.98 % SZS output end Refutation
% 15.81/15.98 ------------ end of proof -------------
% 15.81/15.98
% 15.81/15.98
% 15.81/15.98 Search stopped by max_proofs option.
% 15.81/15.98
% 15.81/15.98
% 15.81/15.98 Search stopped by max_proofs option.
% 15.81/15.98
% 15.81/15.98 ============ end of search ============
% 15.81/15.98
% 15.81/15.98 That finishes the proof of the theorem.
% 15.81/15.98
% 15.81/15.98 Process 18058 finished Thu Jun 9 10:30:03 2022
%------------------------------------------------------------------------------